speed = 6.4 Km per hour
speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{38.4}{6}[/tex] = 6.4 Km per hour
What best describes the number 5 write prime composite neither prime non composite or both prime and composite
Answer:
it is PRIME
Step-by-step explanation:
It has 2 factors: 1 and 5
The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 3500 miles, how much would a 180-pound man weigh 750 miles above the surface of the earth?
The weight of the body when the distance is 750 miles if it is inversely proportional is 3,920 pounds.
How much would a 180-pound man weigh 750 miles above the surface of the earth?w = k/d²
Where,
k = constant of proportionality
w = 180 pound
d = 3,500 miles
w = k/d²
180 = k/3500²
180 = k/12,250,000
cross product
k = 180 × 12,250,000
k = 2,205,000,000
Therefore, when d = 750 miles
w = k/d²
w = 2,205,000,000 / 750²
= 2,205,000,000 / 562,500
= 3,920 pounds
Hence, the weight of the body is 3,920 pounds.
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How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
Answer:
Only one solution
Step-by-step explanation:
Given that there is a coordinate plane (say xy)
Two lines are given.
One line crosses the y axis at 3 and has a slope of negative 1.
hence equation of I line is y = -x+3
The other line crosses the y axis at 3 and has a slope of two thirds.
So equation is y = 2x/3 +3
Since the two lines lie in the same plane and are having different slopes, they intersect at one point.
Eliminate y to get
-x+3=2x/3+3
Or x=0
y=3
Hence solutionis (0,3) for the system.
Answer:
One solution
Step-by-step explanation:
we know that
The solution of the system of equations is equal to the intersection point both graphs
we have
[tex]y=-x+3[/tex] ------> equation A
[tex]y=-(2/3)x+3[/tex] ------> equation B
Using a graphing tool
see the attached figure to better understand the problem
In this problem the intersection point is only one
therefore
The system of equations has one solution
The solution is the point [tex](0,3)[/tex]
How can u divide whole numbers and decimals?
Mr. Fink's economy car can travel 420 miles on a 12 gallon tank of gas. How many miles can he travel on 8 gallons?
Distance covered in 12 gallons tank of gas = 420 miles
So, distance covered in 1 gallon tank of gas = [tex]\frac{420}{12}[/tex] miles
Now, distance covered in 8 gallons will be =
[tex]8*\frac{420}{12}[/tex] =280 miles
Hence, distance covered by Mr.Fink's economy car in 8 gallons tank of gas is 280 miles.
what is the domain of range of y=4(1/3)^x
Answer:
Domain = R
Range =(0,infinity)
Step-by-step explanation:
Given a function as
y = 4(1/3)^x
The function does not have x or y in the denominator or any square root sign.
Hence we can assign any values to x.
Domain = R = Set of all real numbers = (-infinity, infinity)
Let us consider range.
We find that 4(1/3)^x is a multiple of 4 and powers of 1/3
Since power of 1/3 is always positive, y cannot take any negative value.
When x=0 y =4.
When x tends to -infinity, y tends to 0
So y cannot take the value 0 except at -infinity.
Range =(0,infinity)
The graph represents the cost of a subscription to a newspaper.
What is the constant of variation for the subscription cost based on the number of weeks?
A. $1.50
B. $7.50
C. $15.00
D. $30.00
Avery predicts that the number of horses, HHH, on her farm ttt years from now will be modeled by the function H(t)=25(2)^tH(t)=25(2) t H, left parenthesis, t, right parenthesis, equals, 25, left parenthesis, 2, right parenthesis, start superscript, t, end superscript, and that the amount of hay, AAA, in tons, that she produces on her farm ttt years from now will be modeled by the function A(t)=150(1.5)^tA(t)=150(1.5) t A, left parenthesis, t, right parenthesis, equals, 150, left parenthesis, 1, point, 5, right parenthesis, start superscript, t, end superscript. Let FFF be the predicted yearly supply of hay, in tons, available to each horse in Avery's farm ttt years from now. Note that the hay produced on Avery's farm is used exclusively to feed her horses. Write a formula for F(t)F(t)F, left parenthesis, t, right parenthesis in terms of H(t)H(t)H, left parenthesis, t, right parenthesis and A(t)A(t)A, left parenthesis, t, right parenthesis.
Number of Horses in Avery's farm, after t years from now is given by function H(t); where [tex]H(t) = 25(2)^{t}[/tex]
The amount of hay, in tons, that is produced on her farm t years from now is given by function A(t); where [tex]A(t) = 150(1.5)^{t}[/tex]
The predicted yearly supply of hay, in tons, available to each horse in Avery's farm t years from now is given by function F(t); where F(t) = A(t)/H(t)
So, F(t) = [tex]\frac{150(1.5)^{t}}{25(2)^{t}}[/tex] = [tex]6 (\frac{1.5}{2}) ^{t}[/tex] = [tex]6 (0.75)^{t}[/tex] tons/horse
The formula for F(t) in terms of H(t) and A(t) is F(t) = (150(1.5)^t) / (25(2)^t).
Explanation:To find the formula for F(t), we need to divide the amount of hay produced, A(t), by the number of horses, H(t). So, the formula for F(t) is F(t) = A(t) / H(t). Substituting the given functions, we have F(t) = (150(1.5)^t) / (25(2)^t).
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How do I do this using distributive property
answer: [tex]-15 - x[/tex]
work:
[tex]5-(x+4)[/tex] | distribute the negative into the parentheses, which means multiply into the parentheses.
[tex]5 - x - 20[/tex] | combine like terms
[tex]-15 - x[/tex] | final answer
correct me if anything is wrong, otherwise hope this helps! ❤ from peachimin
Hello there!
Distributive property you had to used their formula like:
↓
a(b+c)=ab+ac
5-(x+4)
First you had to distribute by the negative signs.
5+-1(x+4)
5+-1x+(-1)(4)
5+-x+-4
Then you combine like terms of
↓
5+-x+-4
(-x)+(5+-4)
Simplify
=-x+1
Answer⇒⇒⇒⇒-x+1
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
Sam ran 40 yards in 5 seconds. What was her rate of speed in miles per hour? A) 2 mph B) 5 mph C) 16 mph D) 22 mph
B) 5 mph
hope this helped
Answer:
Its 16
100% Correct
Step-by-step explanation:
USA TEST PREP
Leeza did this to solve an equation. Did she makes an error 4x=7+3(2x-5) 4x=7+6x-5
Yes, there was a mistake in applying the distributive property. If you have to perform
[tex] 3(2x-5) [/tex]
you have to multiply both terms in the parenthesis by 3, not just the first one.
So, the correct expansion would be
[tex] 3(2x-5) = 3\cdot 2x - 3 \cdot (-5) = 6x-15 [/tex]
Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4x=7+3(2x-5).
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 4x=7+6x-15
4x=6x-8
4x-6x= -8
-2x=-8
x=4
Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.
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Solve the following equation. Then place the correct number in the box provided. 6x - 8 = 16
ANSWER
[tex]x=4[/tex]
EXPLANATION
We have[tex]6x-8=16[/tex]
We add 8 to both sides of the equation
[tex]6x-8+8=16+8[/tex]
We simplify
[tex]6x=24[/tex]
We divide both sides by 6
[tex]x=\frac{24}{6}[/tex]
[tex]x=4[/tex]
A recipe calls for 2 cups of flour and 1 cup sugar and half cup butter how many cups of flour are needed to mix with each cup of butter
answer is equal to2:1/2=4:1
4 cups are required
Final answer:
For every cup of butter in the recipe, 4 cups of flour are needed. This is found by analyzing the ratio of flour to butter given in the recipe, which is 2 cups flour to 0.5 cup butter.
Explanation:
The question asks how many cups of flour are needed to mix with each cup of butter according to a given recipe. To determine this, we look at the provided ratios and find that the recipe calls for 2 cups of flour and 0.5 cup of butter. This results in the ratio of 4 cups of flour for every 1 cup of butter.
To calculate the amount of flour required for each cup of butter, we use a simple proportion:
0.5 cup butter : 2 cups flour
1 cup butter : x cups flour
To solve for x (the amount of flour needed for 1 cup of butter), we cross-multiply and get:
0.5x = 2
x = 2 / 0.5
x = 4
So, for every cup of butter, 4 cups of flour are needed.
Solve for x. Enter your answer in the box.
The sum of the measures of the angles of a hexagon is equal 720°.
Therefore we have the equation:
[tex]160^o+75^o+132^o+113^o+108^o+x^o=720^o\\\\588^o+x^o=720^o\ \ \ \ |-588^o\\\\x^o=132^o[/tex]
Answer: x = 132
6. Which type of angle pair are LSM and OSN?
A. Adjacent angles
B. Linear pair
C. Complementary angles
D. Vertical angles
7. Which of the following statements are false?
A. LSM and MSN are adjacent angles
B. LSM and MSN form a linear pair of angles
C. LSM and MSN are vertical angles
D. M
8. Which angle is supplementary to LSM?
A. OSN
B. SLM
C. LMS
D. MSN
6. vertical
7. LSM and MSN are vertical angles
8. MSN
Answer:
6. Which type of angle pair are LSM and OSN?
Answer - D. Vertical angles
Vertical angles are pairs of opposite angles made by two intersecting lines.
7. Which of the following statements are false?
Answer - C. LSM and MSN are vertical angles.
Vertical angles are pairs of opposite angles made by two intersecting lines.
8. Which angle is supplementary to LSM?
Answer - D. MSN
Two angles are supplementary when they add up to become 180 degrees.
Here adding both we will get angle S as 180 degrees.
help!! what is 4 3/4 divided by 2 3/4?
i THINK its 2 1/2 ?????
Emerson runs 2 miles to her friend's house and 2 miles back to her house 5 times each month. How many miles does she run?
Evaluate 2d+
+32, d, plus, 3 when d=8=d equals, 8.
The value of the expression 2d + 32 is 48 when d equals 8.
The student has provided an expression 2d + 32 and the value for d is given as 8. In order to evaluate the expression, we simply need to substitute the value of d into the expression.
Evaluating the expression:
2d + 32
= 2(8) + 32
= 16 + 32
= 48.
So, the value of the expression when d = 8 is 48.
You play darts with a friend. The board has several concentric circles (same center). The central part of the board is called the Bull’s Eye and it is a circle with a 1-inch radius.
Just outside of that is the “inner ring”: it is the region inside a circle with a 3-inch radius and outside of the Bull’s Eye.
How much harder is it to hit the Bull’s Eye than the Inner Ring?
Area of Bull's Eye:
A = π r²
= π (1)²
= π
Area of Inner Ring:
A = π r²
= π (3-1)²
= 4π
Ratio between Inner Ring and Bull's Eye:
[tex]\frac{InnerRing}{Bull's Eye} = \frac{4\pi }{\pi} = 4[/tex]
Answer: It is 4 times harder to hit the Bull's Eye than it is to hit the Inner Ring
Final answer:
The Inner Ring is 8 times larger than the Bull's Eye.
Explanation:
To determine how much harder it is to hit the Bull's Eye compared to the Inner Ring, we can compare their areas.
The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius of the circle.
The area of the Bull's Eye can be calculated as A = π(1)^2 = π square inches.
The area of the Inner Ring can be calculated as A = π(3)^2 - π(1)^2 = 9π - π = 8π square inches.
Therefore, the Inner Ring is 8 times larger than the Bull's Eye.
The table shows partial results of a survey about students who speak foreign languages.
Choose only one option
What is the relative frequency of girls who speak German to the total number of students who speak German?
A) 31%
B) 36%
C) 40%
D) 77%
Oh this is easy.I completed the table. C) 40%
THE ANSWER IS C (◡ ‿ ◡ ✿)
Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each group,how many songs will be in each group?
Answer:
There will be 213 songs in each group.
Step-by-step explanation:
Suppose, the number of songs in each group is [tex]x[/tex]
As he has 4 different groups of songs, so the total number of songs in all 4 groups will be: [tex](4*x)= 4x[/tex]
Given that, the mp3 player has a total of 852 songs. So, the equation will be........
[tex]4x=852\\ \\ x=\frac{852}{4}=213[/tex]
So, there will be 213 songs in each group.
Which formula can be used to determine the number of different 8-letter arrangements using the letters of the word UNIVERSE?
A.
8!
B.
8P2
C.
8!/2!
D.
8!•2!
simplify: 3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28
2 times the square root of 12
2 times the square root of 2
six times the square root of 5 - four times the square root of 7
six times the square root of 10 - four times the square root of 14
6 on the sq rt 5 - 4 on the sq rt 7
To simplify the given expression, substitute the values of each square root and simplify the expression to get the final result of 1.416.
To simplify the given expression:
3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28
We can simplify each square root separately:
√5 = 2.236 (approx.)
√7 = 2.646 (approx.)
√45 = 6.708 (approx.)
√28 = 5.292 (approx.)
Substituting these values in the expression:
3(2.236) - 2(2.646) + 6.708 - 5.292
This simplifies to:
6.708 - 5.292 = 1.416
Therefore, the simplified expression is 1.416.
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edward wants to have $50,000 in 10 years for college. what single deposit would he need to make snow into an account that pays 4.3% interest, compounded daily to meet his goal
Answer: Single deposit by Edward=$3594 to make it amount for college=$50,000 in 10 years.
Step-by-step explanation:
Here Compound amount =$50,000
Time=10 years
Rate of interest=4.3%
By the Daily compound interest formula ,we have
[tex]Amount=Principal(1+rate/365)^{365\times\ time}\\\Rightarrow\ Amount=Principal(1+4.3/365)^{365\times\ 10}\\\Rightarrow\ 50000=P(1+.011)^{3650}\\\Rightarrow\ 50000=P(1.011)^{3650}\\\Rightarrow\ 50000=P(13.911)...........(approx)\\\Rightarrow\ P=\frac{50000}{13.911}=3594......(approx)[/tex]
Therefore Principal amount deposited by Edward is $3594.
Answer:
$32,526.67
Step-by-step explanation:
Let the Principle be P
amount here A= $50,000
time n= 10 years n= 10*365=3650 days
rate of interest= 4.3% compounded daily= 4.3/365
let us use compound interest formula to calculate the principle
[tex]A= P(1+\frac{r}{100})^n[/tex]
putting all the values we get
[tex]50000=P(1+\frac{4.3}{100\times365})^10times365[/tex]
on solving we get P= $32,526.67
therefore he need to deposit $32,526.67
Jane and sali cycled along the same 63 km route.
Jane took 3.5 hours to cycle the 63 km.
Sali started to cycle 4 minutes after Jane started to cycle.
Sali caught up with Jane when they had both cycled 30 km.
Jane and sali both cycled at a constant speeds.
Work out sali's speed in km/h.
Answer:
Sali's speed was 18.75 km/h.
Step-by-step explanation:
Jane took 3.5 hours to cycle the 63 km.
As, [tex]Speed= \frac{Distance}{Time}[/tex] , so the speed of Jane will be: [tex]\frac{63}{3.5} km/h = 18 km/h[/tex]
Suppose, the speed of Sali is [tex]x[/tex] km/h
Sali caught up with Jane when they had both cycled 30 km.
So, the time required for Jane to cycle 30 km [tex]= \frac{30}{18}=\frac{5}{3} hours[/tex] and the time required for Sali to cycle 30 km [tex]=\frac{30}{x} hours[/tex]
Given that, Sali started to cycle 4 minutes or [tex](\frac{4}{60}) or (\frac{1}{15}) hours[/tex] after Jane started to cycle. So, the equation will be.......
[tex]\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75[/tex]
Thus, the speed of Sali was 18.75 km/h.
Answer:Thus, the speed of Sali was 18.75 km/h.
Step-by-step explanation:
Sali's speed was 18.75 km/h.
What is each number in scientific notation?
0.00000000005
show how you got your answer
Write the prime factorization of 675 using exponent
675 : 5 = 135
135 : 5 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³
can you help me find length bc please!!!!
Remark
You are dealing with a right angle triangle. You can use one of Sin(x) Cos(x) or Tan(x). Since the Hypotenuse is involved and since you are given the adjacent side, Cos(71) is what you will need.
Solution
H = BC
Cos(x) = adjactent / hypotenuse
Cos(71) = 6.3 / H Multiply both sides by H
H * Cos(71) = 6.3 Divide by Cos(71)
H = 6.3 / cos(71) Cos(71) = 0.32557
H = 6.3 / 0.32557 Divide
H = BC = 19.351 Answer
The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.
A. 6
B. 5
C. 3
D. 1
Answer:
Option B) 5
Step-by-step explanation:
We are given the following information:
A scatter plot is given which shows the number of hats and scarves each knitter sold at a knitting show.
In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold.
We have to find the number of hats sold by the knitter when he sold 8 scarves.
In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.
Corresponding to 8 on y-axis we have a point that have a corresponding value of 5.
Hence, 5 hats were sold by the knitter when he sold 8 scarves.
Option B) 5 is the correct answer.
The scatter plot that shows the number of hats and scarves each knitter sold at a knitting show is Option B) 5
What is the scatter plotTo find the number of hats sold when 8 scarves were sold, you can look at the scatter plot and observe that there is a data point on the plot where the y-value (number of scarves) is 8, and the corresponding x-value (number of hats) is 5.
In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold. In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.
Hence, 5 hats were sold by the knitter when he sold 8 scarves.
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A line that includes the point ( - 4, - 1) has a slope of - 2. What is its equation in point-slope form?
Point slope form says the line through (a,b) with slope m is
y - b = m(x - a)
Here that's
y - - 1 = -2(x - -4)
Answer: y + 1 = -2(x + 4)
Point-Slope equation: y - y₁ = m(x - x₁) ; m is slope and (x₁ ,y₁) is the coordinate
y - (-1) = -2(x - (-4)
y + 1 = -2(x + 4) simplified (two negatives make a positive)