If exy = 3, then what is dy/dx at the point (1, ln3)?

Answers

Answer 1
if exy=3, then dy/dx will be found as follows:
differentiating our expression implicitly we get:
(x(dy/dx)+y)e^(xy)=0
N/B
when differentiating e^(xy) we apply chain rule. When differentiating xy, we use product rule. 
next, we substitute (1, ln(3)) and solve for dy/dx
(1(dy/dx)+ln(3))^(1ln(3))=0
((dy/dx)+ln(3))e^(ln(3))=0
but
e^(ln3)=3, this is because e and ln  are inverse of each other.

3((dy/dx)+ln(3))=0
dy/dx+ln (3)=0
dy/dx=-ln(3)
The answer is :
dy/dx=-ln(3)


Related Questions

i dont understand please helpp asap
Which is the equation for AD?

Answers

The equation is -x + y = 6.

because if you simplify it to write it in the form y=mx +b, you'll get y = x + 6.
So the slope is 1 and y-intercept is 6.

What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.

a) [tex] \sqrt{70} [/tex]
b) 70
c) [tex] \sqrt{19} [/tex]
d) 19

Answers

  we know that
in triangle ABC
cos (alfa)=H/(14+5)-------->   cos (alfa)=H/(19)        equation 1

in triangle BDC
cos (alfa)=14/H   equation 2
1=2
H/(19)=14/H-------> H²=19*14---------> H²=266------> H=√266
H=16.31 units
cos (alfa)=14/16.31----------> cos (alfa)= 0.8584
alfa=arccos(0.8584)=30.86°

we know 
triangle BDC
sin(alfa)=h/H---------> h=sin(alfa)*H
h=sin(30.86)*16.31----------> H=8.37 units---------> √70 units

the answer is the option A) √70


Answer:

The correct option is A) 70

Step-by-step explanation:

You have 1500 and want to invest it for the future. Bank of westminster has a saving account with an interest rate of 3% compounded yearly, but a local credit union is offering 2% compounded continuously. Which account would give you more money if you leave the money in the account for 10 years? How much more? Show all calculation and label everything

Answers

Principal amount = P = $1500
Time in years = t =10
For annual compounding, interest rate = r = 3% = 0.03
Amount accumulated = A 

Formula for Annual(Yearly) compounding is:

[tex]A=P (1+r)^{t} [/tex]

Using the values, we get:

[tex]A=1500(1+0.03)^{10}=2015.87 [/tex]

Interest rate for continuous compounding = r = 2% = 0.02

Formula for continuous compounding is:

[tex]A=P e^{rt} [/tex]

Using the values, we get:

[tex]A=1500 e^{0.02*10}=1832.10 [/tex]

This means amount accumulated by yearly compounding after 10 years will be $ 2015.87 and amount accumulated by continuous compounding will be $ 1832.40. Therefore the amount with yearly compounding will have more amount by the end of 10th year. The difference in the two amounts will be $183.47. So the yearly compounding will have saved $183.47 more than continuous compounding. 

So I've got a math problem I don't understand: simplify (3^ - 2 + 5^ - 2) ^ -1 I got 34 but apparently the answer's 225/34, shouldn't i just multiply -2 and -5 by 1 making it 3^2 + 5^2 which is 34 Pliz help, cramming for a test tmw

Answers

The exponent tells you the number of times that factor is in the product. When the exponent is negative, the product is in the denominator.
.. (3⁻² +5⁻²)⁻¹ = 1/(1/9 +1/25) = 1/(34/225) = 225/34
◆ Exponential Reductions ◆

Hey !!

Check the attachment.
Hope it helps you :)

P.s. In your question the negative no. is in exponentials or in power ,

a^m = a*a*a*a...(m times)

But if m is negative then solve like -
a^-m = 1/a^m

Which statement describes the transformation of the graph of function f onto the graph of function g?

Answers

g(x) = f(x +5) +3

x ⇒ x+5, the graph is shifted 5 units left
f(x) ⇒ f(x) +3, the graph is shifted 3 units up

The 4th selection is appropriate.

Aubrey says that the product 10x10x10x10 and 10x-10x-10

Answers

The third one, because she got -8 for the product's exponent by multiplying 4 and -2 instead of adding them, show the answer should have been 10^2.

Answer:

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.

Yes, she is correct.

No, the exponent should be positive 8.

No, she multiplied the exponents instead of adding them.

No, she multiplied the exponents instead of subtracting them.

Step-by-step explanation:

C. No, she multiplied the exponents instead of adding them.

Suppose that 24% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?

Answers

To find the probability that both people randomly picked own a dog, we multiply the probability of one person owning a dog (24%) by itself, resulting in a 5.76% chance that both own a dog.

The question is asking us to calculate the probability that two randomly selected people both own a dog, given that 24% of people own dogs. Since the events (each person owning a dog) are independent, the probability of both events happening is the product of their individual probabilities.

Let's denote the probability of one person owning a dog as P(dog) = 0.24. Then, for two independent people, the probability that both own a dog is [tex]P(dog) \times\ P(dog) = 0.24 \times\ 0.24 = 0.0576.[/tex]

So, the probability that both people picked at random own a dog is 5.76%.

10 POINTS + BRAINLIEST ANSWER!!

Based on the ideal gas law, what is the volume, in liters, of a sample that contains 1,200 moles?

A. 6,000

B. 24,000

C. 36,000

D. 60,000

Answers

The answer would be D. 60,000 because the problem tells us V (volume) is equal to 50 times the number of moles. We know there are 1,200 moles, so multiple 50*1,200 to get 60,000.

Solve for x: -2.3(x - 1.2) = -9.66

Answers

Answer:

x = 5.4

Step-by-step explanation:

[tex]-2.3(x-1.2)=-9.66[/tex]     use the distributive property a(b + c) = ab + ac

[tex]-2.3x+2.76=-9.66[/tex]         subtract 2.76 from both sides

[tex]-2.3x=-12.42[/tex]            divide both sides by (-2.3)

[tex]x=5.4[/tex]

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________.

Answers

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that 


Answer: Angle (B) is Congruent to Angle (C)

Hope it helps

Answer:

We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that

✔ AB = AC

.

Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the

✔ triangle parts relationship theorem

.

However, this contradicts the given information that

✔ side AB is congruent to side AC

. Therefore,

✔ angle B is congruent to angle C

, which is what we wished to prove.

Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.

Step-by-step explanation:

edge 2020

The graph of quadratic function f(x) has a minimum at (-2,-3) and passes through the point (2,13). The function g(x) is represented by the equation g(x)=-(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?

I really need some help soon ((:
Lots of points given

Answers

Final answer:

The y-intercept of function g(x) is 9 greater than the y-intercept of function f(x).

Explanation:

The question is asking for the difference in the y-intercepts of two quadratic functions f(x) and g(x). The minimum point of a function gives us both the x-value of the vertex and the y-intercept. Here, for f(x), the minimum point is given as (-2,-3) which means the y-intercept is -3. Similarly, for the function g(x)=-(x+2)(x-3), expanding this equation gives us g(x) = -x^2 + x + 6. Here, we see that the constant term, 6, is the y-intercept. Therefore, the difference in the y-intercepts of g(x) and f(x) is 6 - (-3) = 9.

Learn more about Quadratic Functions here:

https://brainly.com/question/35505962

#SPJ12

Is 40% bigger than 2/5

Answers

To find the percentage of 2/5 you'll divide them and then multiply the answer by 100.

2/5 = 0.4 = 40%

So 40% and 2/5 are equal.

Hope this helps :)
40% can be rewritten as 0.4 
2/5 can be rewritten as 0.4. 

As you can see, they are equal, so NO, 40% is not bigger than 2/5.

The following tables each show the amount of money, in dollars, in four different bank accounts over time.

Which table best represents an exponential relationship?

Answers

for finding the answer divide the amount of second year by first year . then do it to find the division of third year by second year. hf they were equal it means they have an exponential relationship.
it seems that the first one is the answer.
1210/1100=1.1
1331/1210=1.1

Answer with explanation:

The general exponential relationship is

→[tex]y=a*b^x {\text{or}}, x=a*b^y[/tex]

The four tables which is given here, all of them represents exponential relationship because with increase in value of y ,x value increases or vice versa.

The exponential function can be either strictly increasing or strictly decreasing.

Table 1

[tex]\frac{1210}{1100}=\frac{1331}{1210}=\frac{1464.10}{1331}=\frac{1610.51}{1464.10}=1.1[/tex]

In Table 2, Table 3,and  table 4, the rate of increase is not constant, it varies that is for different two consecutive y, values their ratio is not constant.

Table 1, best represents the exponential relationship, represented as

[tex]y=1100*(1.1)^x[/tex]

Where, x=1,2,3,4,5

The net of a square pyramid is shown:
What is the surface area of the figure?

A.0.5625 square inch

B.0.7625 square inch

C.1.5625 square inches

D.1.7625 square inches

Answers

First the square .75^2=0.5625 inch² + A≈0.3 *4=1.2 inch²+ 0.5625 inch²= 1.7625 inches²
Thus d: is your Answer
I think its d because if do the step in the correct way thus may give you d

PLEASE HELP ME ON THIS

BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY!!!

Answers

Most likely the first choice.

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

It would not be choice 2 or 3 because it is taking the percent of the previous number and multiplying it by 1.05. Hence, it could not be an arithmetic sequence.

It would not be the fourth choice because that is saying there is a 50% increase every successive year.
the correct answer is number 1

Which choice is the conjugate of the expression below when x -5?
4 - x+5


A. 4 + x - 5
B. 4 - x - 5
C. 4 - x + 5
D. 4 + x + 5

Answers

The option which is the conjugate of the expression 4 - (x + 5) will be D. 4 + (x + 5).

What is a conjugate?

It should be noted that conjugate simply means changing the sign that is between two terms in a binomial.

In this case, the given expression is 4 - (x + 5). Therefore, one simply has to change the subtraction sign. This means one has to has to change the subtraction sign to addition. This will be 4 + (x + 5).

In conclusion, the correct option is 4 + (x + 5).

Learn more about conjugate on:

https://brainly.com/question/844178

Final answer:

The conjugate of the expression 4 - (x + 5) is formed by changing the minus sign to a plus sign, resulting in the expression 4 + x + 5, which corresponds to option D.

Explanation:

The conjugate of a binomial expression like 4 - (x + 5) is obtained by changing the sign between the two terms. Hence, the conjugate of this expression would change the subtracted term (-x - 5) to its additive inverse, which is (+x + 5). Therefore, the correct choice is 4 + x + 5, which is option D.

PLEASE HELP ASAP!
You have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop. The painting is 65in high by 105in wide. You are asked to use a 1in = 5in scale. What will the dimensions of your poster be? (2 points)

Answers

we know that
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5

then

for high = 65 in the painting
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in

for wide = 105 in the painting
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in

the answer is
The dimensions of the poster will be  15 in x 21 in

What does (r−c)(5) mean about George's new store?

Answers

store will have a profit of 5400 after it's fifth month in business
 Answer is C

Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)

Answers

The length of the race is 5 kilometers.
5 kilometers equals 5000 meters.

Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5

[tex]Steps = \frac{5000}{0.5} = 10000[/tex]

Hence, Lana needs to take about 10000 steps.

You are buying a $14.95 item that has 4.5% sales tax. You give the cashier a $20 bill. How much change do you get back?

Answers

Answer:

4.38 is the aount you get back

Step-by-step explanation:

14.95*.045=.67

14.95+.67=15.62

20-15.62=4.38

Brainleist plz

You give the cashier a $20 bill. $4.38 you get back.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

You are buying a $14.95 item that has 4.5% sales tax.

That means,

the total price = 14.95 + 4.5% of 14.95.

= 14.95 + 0.67

= 15.62

You give the cashier a $20 bill.

You get in return,

= 20 - 15.62

= $4.38

Therefore, you get back $4.38.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

This graph compares shoe sizes for a group of 80 two-year-old boys and a group of 60 three-year-old boys. Two box and whisker plots showing shoes sizes on a number line from 2.5 to 13.

The upper plot represents the group of 2 year-old boys. For this upper plot, the minimum number is 3, the maximum number is 9.5, the right side of the box is 7.5, the left side of the box is 3.5, and the bar in the box is at 6. The lower plot represents the group of 3 year-old boys.

For this lower plot, the minimum number is 5, the maximum number is 11.5, the right side of the box is 9.5, the left side of the box is 6.5, and the bar in the box is at 8.

About how many more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys?

Answers

To determine about how many more boys have a shoes size of 6 or less, you need to understand that a box and whisker plot takes a data set and show it in quarters (25% of the data is represented in each section).

For the 2 years olds, if the box in the middle, that means that half of the boys have a shoe size at 6 or under.  There were 80 boys chosen for this study, so half of that is 40.

For the 3 year olds, the closest point to 6 is 6.5, and it is located after the line on the left.  This means that only 25% of the boys have shoe sizes of 6.5 or under.  25% of the 60 three-year olds they collected data on is 15.

The difference is 40-15= 25.
There are about 25 more two-year olds wearing a size 6 or under.

About 25 more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys.

How does a boxplot shows the  data points?

A box plot has 5 data description.

The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.

We're specified that:

For two-years-old boys:

Total count = 80Minimum number = 3Maximum number is 9.5, the right side of the box is 7.5 (third quartile), the left side of the box is 3.5 (first quartile), and the bar in the box is at 6 (second quartile or median).

For three-years-old boys:

Total count = 60Minimum number = 5Maximum number is 11.5, the right side of the box is 9.5 (third quartile), the left side of the box is 6.5 (first quartile), and the bar in the box is at 8 (second quartile or median).

From data of 2-years-old boys, the size 6 is the median. That means, there are approx 50% boys on either of this 6 shoe size.

50% of 80 is 40.

So 40 two-years-old boys have shoe size 6 or less,

and another 40 two-years-old boys have shoe size 6 or more.

From data of 3-years-old boys, the size 6 is less than 6.5 which is first quartile. First quartile has approx 25% observation on its left, and 75% on right.

Left side is smaller or equal (the data is in ascending order, as visible that first quartile < third quartile) to 6.5, and right is bigger or equal to 6.5.

Now, we can take 6.5 approx 6, and therefore, 25% of three-years-old boys have  a shoe size of 6 or less,.

25% of 60 is 60/4 = 15

Thus, approx 15 three-years-old boys have a shoe size of 6 or less.

The difference between both counts is: 40-15 = 25

Thus, about 25 more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys.

Learn more about box-plot here:

https://brainly.com/question/1523909

find the slope of the line that passes through the points (2,1) and (-1,-1).

Answers

Answer:

all work is shown and pictured

Which is the best estimate for the product of 123.519 × 311,982.21?



A.
372,000,000


B.
37,200,000


C.
3,720,000


D.
372,000

Answers

B, these numbers are all the same, so in the end it's whichever Digit is the closes, but each gap is that changing by entire Tens of thousands.
The sum of those numbers has 8 digits, the only answer with 8 digits--

The function f(t)=-5t^2+15t+50 models the approximate height in feet of an object t seconds after it is launched. how many seconds does it take for the object to hit the ground?

Answers

f(t) can be factored to find the zeros.
.. f(t) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5

The object hits the ground after 5 seconds.

A reflection of the pink triangle is shown. Which transformation makes this reflection?
A) (x', y') = (y, x)
B) (x', y') = (x, -y)
C) (x', y') = (-x, y)
D) (x', y') = (-x, -y)

Answers

The Answer is B) (x', y') = (x, -y)

Explanation:

(x', y') = (x, -y) is correct. The y-values change signs, but the x-values remain the same.

Answer:

(x, y) → (-x, y).

Step-by-step explanation:

(x, y) → (-x, y). is correct. For example, the point (-3, 5) on triangle 1 goes to (3, 5) on triangle 2.

19. A carpenter is putting a skylight in the roof. If the roof measures (10x + 9) by (7x + 7) and the skylight measures (x + 5) by (3x + 3), what is the area of the remaining roof after the skylight is built?

(A). 67x^2 + 115x + 48
(B). 73x^2 + 151x + 78
(C). 70x^2 + 133x + 63
(D). 3x^2 + 18x + 15

20. What is the factored form of the expression?

w^2 + 16w + 64

(A). (w + 8)(w - 8)
(B). (w + 64)(w - 1)
(C). (w + 8)^2
(D). (w - 8)^2

21. What is the factored form of the expression?

d^2 + 22d + 121

(A). (d + 11)^2
(B). (d - 11)^2
(C). (d - 11)(d + 11)
(D). (d - 121)(d - 1)

22. What is the factored form of the expression?

r^2 - 49

(A). (r - 7)(r + 7)
(B). (r + 7)(r + 7)
(C). (r - 7)(r - 7)
(D). (r - 7)(r + 9)

Answers

19)  67x²+115x+48
20) (w+8)²
21) (d+11)²
22) (r+7)(r-7)

Explanation:
19)  The area of the ceiling is given by (10x+9)(7x+7).  Multiplying we have:
10x*7x+7*10x+9*7x+9*7
=70x²+70x+63x+63
=70x²+133x+63

The area of the skylight is given by (x+5)(3x+3).  Multiplying we have:
x*3x+3*x+5*3x+5*3
=3x²+3x+15x+15
=3x²+18x+15

To find the remaining area of the ceiling we subtract:
(70x²+133x+63)-(3x²+18x+15)
=70x²+133x+63-3x²-18x-15
=67x²+115x+48

20)  To factor, we want to find factors of c, 64, that sum to b, 16.  8*8=64 and 8+8=16; therefore we have:
(w+8)(w+8)
Since this is the same binomial twice, we write it as (w+8)²

21)  Again we look for factors of c, 121, that sum to b, 22.  11*11=121 and 11+11=22, so:
(d+11)(d+11)
Since this is the same binomial twice, we have (d+11)²

22)  Factors of -49 that sum to 0 (there is no r term, just r²):  -7*7=-49 and -7+7=0, so:
(r-7)(r+7)

Hence, option (A) is correct.

Hence, option (C) is correct.

Hence, option (A) is correct.

Hence, option (A) is correct.

What is a factor?

A factor is a number that divides another number, leaving no remainder.

In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

There are two methods of finding factors: multiplication and division.

Here given that,

19)  

The area of the ceiling is given by [tex](10x+9)(7x+7)[/tex].

[tex]10x(7x)+7(10x)+9(7x)+9(7)\\=70x^2+70x+63x+63\\=70x^2+133x+63\\[/tex]

The area of the skylight is of the form [tex](x+5)(3x+3)[/tex].  

[tex]x(3x)+3(x)+5(3x)+5(3)\\=3x^2+3x+15x+15\\=3x^2+18x+15\\[/tex]

We subtract to find out the remaining ceiling:

[tex](70x^2+133x+63)-(3x^2+18x+15)\\=70x^2+133x+63-3x^2-18x-15\\=67x^2+115x+48[/tex]

Hence, option (A) is correct.

20)  

For the factor, we find factors of

[tex]8(8)=64\\8+8=16[/tex]

Therefore we have:

[tex](w+8)(w+8)[/tex]

Hence, this is the same binomial twice, we write it as [tex](w+8)^2[/tex]

Hence, option (C) is correct.

21)  

Again we look for the factors

[tex]11(11)=121\\11+11=22[/tex]

so it is of the form [tex](d+11)(d+11)[/tex].

Hence this is the same binomial twice, we have [tex](d+11)^2[/tex].

Hence, option (A) is correct.

22)  

Factors  [tex]-49[/tex] that sum to [tex]0[/tex]

As

[tex]-7(-7)=49\\-7-7=-14[/tex]  

So:

[tex](r-7)(r+7)[/tex]

Hence, option (A) is correct.

To know more about the factors

https://brainly.com/question/28151656

#SPJ2

The nth term of the sequence

-2, 1, 4, 7, 10,...

is given by the formula
A) an = n - 3
B) an = 3n - 3
C) an = n - 5
D) an = 3n - 5

Answers

First we need to find what kind of sequence we have. To do that we are going to test if the sequence as a difference [tex]d[/tex], in which case it will be an arithmetic sequence, or a ratio [tex]r[/tex], in which case it will be geometric sequence.
The formula to find [tex]d[/tex] is [tex]d=a_{n}-a_{n-a}[/tex]
where 
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence 
The formula to find [tex]r[/tex] is [tex]r= \frac{a _{n} }{a _{n-1} } [/tex]
where 
[tex]a_{n}[/tex] is the current term in the sequence 
[tex]a_{n-1}[/tex] is the previous term in the sequence 
- For [tex]a_{n}=10[/tex] and [tex]a_{n-1}=7[/tex]
  [tex]d=10-3[/tex]
  [tex]d=3[/tex]
  [tex]r= \frac{10}{7} [/tex]
- For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=1[/tex]:
  [tex]d=4-1[/tex]
  [tex]d=3[/tex]
  [tex]r= \frac{4}{1} [/tex]
  [tex]r=4[/tex]
Since [tex]d[/tex] is equal in both procedures whereas [tex]r[/tex] is not, we can conclude that our sequence is an arithmetic sequence.
Now we are going to use the explicit formula of an arithmetic sequence [tex]a_{n}=a_{1}+(n-1)d[/tex]
where 
[tex]a_{n}[/tex] is the nth term
[tex]a_{1}[/tex] is the first term 
[tex]n[/tex] is the position of the term in the sequence 
[tex]d[/tex] is the difference 
We know that [tex]a_{1}=-2[/tex] and [tex]d=3[/tex], so lets replace those values in our formula:
[tex]a_{n}=-2+(n-1)(3)[/tex]
[tex]a_{n}=-2+3n-3[/tex]
[tex]a_{n}=3n-5[/tex]

We can conclude that the correct answer is D) an = 3n - 5

42.54 is the same as 42 _____' 24".

Answers

42.54° = 42° 32' 24" . . . . according to my calculator

Answer:

[tex]42.54\°=42\°+32'+24''[/tex]

Step-by-step explanation:

we have

[tex]42.54\°[/tex]

Remember that

[tex]1\ degree=60\ minutes[/tex]

[tex]1\ minute=60\ seconds[/tex]

in this problem we have

[tex]42.54\°=42\°+0.54\°[/tex]

Convert [tex]0.54\°[/tex] to minutes

[tex]0.54\°=0.54*60=32.4'[/tex]

so

[tex]42\°+0.54\°=42\°+32.4'=42\°+32'+0.4'[/tex]

Convert [tex]0.4'[/tex] to seconds

[tex]0.4'=0.4*60=24''[/tex]

therefore

[tex]42.54\°=42\°+32'+24''[/tex]

Answer this please and thank you

If DE=4x-1, EF=9, and DF=9x-22, find the value of x.

Answers

Question

If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.

Answer

x = 6

. A toy company is selling novelty soccer balls of all sizes. If one soccer ball, with a radius of 5 cm, is placed in a box with all equal dimensions, as shown below, and the ball is touching the sides of the box, approximately how much empty space is inside the box?

Answers

Answer:

The volume of the empty space is [tex]476.67\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the empty space inside the box is equal to the volume of the box minus the volume of the soccer ball

step 1

Find the volume of the box

The length side of the cube is equal to the diameter of the soccer ball

Let

b -----> the length side of the box

we have

[tex]b=2r=2(5)=10\ cm[/tex]

The volume of the box is equal to the volume of a cube

[tex]V=b^{3}[/tex]

substitute

[tex]V=10^{3}[/tex]

[tex]V=1,000\ cm^{3}[/tex]

step 2

Find the volume of the soccer ball

The volume of the sphere (soccer ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=5\ cm[/tex]

[tex]\pi =3.14[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(5)^{3}[/tex]

[tex]V=523.33\ cm^{3}[/tex]

step 3

Find the volume of the empty space

[tex]V=1,000-523.33=476.67\ cm^{3}[/tex]

Other Questions
Jax solved an equation and justified his steps as shown below. What reason would justify step 2?3x + 5 > 2 Step 1: Given 3x > -3 Step 2: ? x> -1 Step 3: Division Property of Equalitya. Combine Like Termsb. Division Property of Equalityc. Subtraction Property of Equalityd. Multiplication Property of Equality Find the volume of the figure. A)33 in3 B)150 in3 C)233 in3 D)425 in3 A $140 car stereo is marked up 50% and then discounted 50% will the final price of the car stereo be #140 How did Mannerist painters depart from High Renaissance painting conventions? Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does Lin have? Use the table to answer the question. A train travels 86 kilometers in 1 hours, and then 98 kilometers in 1 hours. What is its average speed? How do dating methods help to support the theory of natural selection and biological evolution? How is it different than Darwins original ideas on speciation? Differentiate between absolute and relative dating techniques, giving one example of each. What is punctuated equilibrium? A hexagonal aquarium is 14.5 cm on each side of its base and 26.5 cm high. the lateral sides are molded from one piece of plastic. what is the area of this piece of plastic? 3458.25 cm2 2305.5 cm2 1152.75 cm2 384.25 cm2 SUSAN NEEDS EXACTLY 4 PLATES ON EACH TABLE FOR THE BANQUET,AND 5 PLATES AT THE MAIN TABLE.IF SHE HAS 417 PLATES,HOW MANY TABLES IS SHE ABLE TO PREPARE?INCLUDE THE MAIN TABLE IN COUNT Which element is most metallic in character? EXPLAIN YOUR REASONING if you can't take your heart rate, a good way to recognize that you're exercising efficiently is whether or not A. you're experiencing a little bit of huffing and puffing. B. it's difficult to have a conversation. C. you're gasping for breath. D. your muscles are burning. What would most likely happen to the chipmunk population in 2014 if the population went up to 22 million in 2013? mc026-1.jpg The chipmunk population would continue to increase. The carrying capacity would increase. The chipmunk population would crash. The death rate would decrease. When gathering evidence for an essay, the focal point of your essay should be the A. writing prompt. B. reader's life experiences. C. reader's personal feelings. D. writer's opinion. The main type of figurative language used in the first poem, "Summer Storm," is _________. True or false: A public domain source does not require attribution or citation. Medal+Fan, It is recommended by the Center for Disease Control (CDC) to exercise 1 time per week for 3 hours.Question 11 options:A) TrueB) FalseQuestion 12 (2.5 points) Question 12 UnsavedWhen starting an exercise program, you should begin as hard and as fast as you can in order to quickly get your body used to the exercise.Question 12 options:A) TrueB) FalseQuestion 13 (2.5 points) Question 13 UnsavedYour heart is a muscle that becomes more efficient with exercise.Question 13 options:A) TrueB) FalseQuestion 14 (2.5 points) Question 14 UnsavedIt can be dangerous to over-exercise.Question 14 options:A) TrueB) FalseQuestion 15 (2.5 points) Question 15 UnsavedWhen we exercise, we should try to get our heart rates into the:Question 15 options:A) Danger Zone (DZ)B) Target Heart Rate Zone (THR)C) The Upside Down (TUD)Question 16 (2.5 points) Question 16 UnsavedIf you are feeling lightheaded or dizzy it means you are working in your target heart rate zone and should just keep going.Question 16 options:A) TrueB) False Please help ASAP!!!! 52 points and will give brainliest for RIGHT answer! Which of the following statements most accurately describes the difference between aptitudes and skills?A. Aptitudes are ability, and skills are the potential.B. Aptitudes can be learned or trained, unlike skills.C. Aptitude is the level of skill that a person has gained.D. Aptitude is a persons potential to learn new skills. Which answer choice combines the sentences using an appositive?Two famous high-speed trains are the Bullet Train and the Train Grande Vitesse. Both can go 186 miles per hour. A. Two famous high-speed trains are the Bullet Train and the Train Grande Vitesse, and both can go 186 miles per hour.B. Two famous high-speed trains, the Bullet Train and the Train Grande Vitesse, can go 186 miles per hour.C. Two famous high-speed trains, going 186 miles per hour, are the Bullet Train and the Train Grande Vitesse.D. Going 186 miles per hour, the most famous high-speed trains are the Bullet Train and the Train Grande Vitesse. Which generational group is characterized as the most educated and the least materialistic?