Answers
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
The locations of the given numbers on the number line are needed.
The locations have been shown in the figure attached.
The numbers are [tex]\dfrac{9}{2}[/tex] and [tex]-\dfrac{7}{2}[/tex]
The numbers can be written as
[tex]\dfrac{9}{2}=4.5[/tex]
[tex]-\dfrac{7}{2}=-3.5[/tex]
In the given number line it can be seen that the longer vertical lines are whole numbers which are positive and negative.
The smaller vertical lines are an increment of [tex]0.5[/tex].
As the extreme ends are [tex]+5[/tex] and [tex]-5[/tex] the center longer vertical line will be [tex]0[/tex].
So, [tex]4.5[/tex] will be the smaller vertical line to the left of [tex]+5[/tex].
[tex]-3.5[/tex] will be the smaller vertical line to the right of [tex]-4[/tex].
The locations have been shown in the figure attached.
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Related Questions
The sum of 19.3 and a number is 30.4. which eqation can be used to sole the problem?
Answers
19.3 + n = 30.4
Answer:
19.3+n+30.4 (B on edg)
Step-by-step explanation:
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
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:
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
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.
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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
Thus d: is your Answer
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
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
Aubrey says that the product 10x10x10x10 and 10x-10x-10
Answers
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.
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).
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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.
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
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.
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
What does (r−c)(5) mean about George's new store?
Answers
Answer is C
Which statement describes the transformation of the graph of function f onto the graph of function g?
Answers
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.
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
[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
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
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
Is 40% bigger than 2/5
Answers
2/5 = 0.4 = 40%
So 40% and 2/5 are equal.
Hope this helps :)
2/5 can be rewritten as 0.4.
As you can see, they are equal, so NO, 40% is not bigger than 2/5.
Solve for x: -2.3(x - 1.2) = -9.66
Answers
Answer:
x = 5.4Step-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]
PLEASE HELP ME ON THIS
BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY!!!
Answers
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.
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.
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Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)
Answers
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.
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
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
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
.. (3⁻² +5⁻²)⁻¹ = 1/(1/9 +1/25) = 1/(34/225) = 225/34
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
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
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.
. 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]
Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.Ответ вырази в дм 2
Answers
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of the cardboard residue. Answer the question in dm2
Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm
Step 2
find the area of the cardboard
Area=3.5*2=7 dm²
Step 3
find the area of the cardboard residue
Area=7-4*1=3 dm²
the answer is 3 dm²
the answer in Russian
Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм
Шаг 2
найти область картона
Площадь=3.5*2=7 дм²
Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²
ответ 3 дм²
1 дм2=100 см2
Если она вырезала 4 квадрата по 100 см2, то осталось 700-(100*4)=700-400=300 см2
300 см2=3 дм2
Думаю,что так.
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 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) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5
The object hits the ground after 5 seconds.
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%.
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
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
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find the slope of the line that passes through the points (2,1) and (-1,-1).
Answers
Answer:
all work is shown and pictured
i dont understand please helpp asap
Which is the equation for AD?
Answers
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.
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
The sum of those numbers has 8 digits, the only answer with 8 digits--