Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the
equation.
If y varies inversely with x, and for y = 1, x = 3, find y when x = 9
a. y(x) - 3x; y(9) - 27
c.
3
; 29.
(9) --
b.
d.
ya
2(x) = 5; (9) - 3
y()-
y(9)
3x
27
Please select the best answer from the choices provided
OA
>
B
Answer:
please see analysis
step by step explanation
[tex]if \: y \: varies \: inversely \: as \: \: as \: x \ \: meanc \\ y = \frac{k}{x} \\ where \: y = 1 \: \: x = 3 \\ 1 = \frac{k}{3} \\ k = 3 \times 1 = 3 \\ equation \: connecting \: x \: and \: y \\ y = \frac{3}{x} \\ finding \: y \: when \: x = 9 \\ y = \frac{3}{9} \\ y = \frac{1}{3} [/tex]
If the radius of a sphere is doubled, does the volume also double? explain.
Answer: No, the volume is eight times as large
Step-by-step explanation:
We will test this. Let the radius equal 4, then we will double it to 8.
4 * 2 = 8
With a radius of 4, the volume is about 268 units³. With a radius of 8, the volume is about 2,145 units³.
2,145 / 268 = 8
The volume is not twice as large, it is eight times as large.
Why is this? In the formula, r is cubed. WIth an example of 2, 2 * 2 * 2 = 8.
what is X + 1.8 =14.7
Answer:
Step-by-step explanation:
X = 14.7 - 1.8
X = 12.9
What is the solution for the equation 6x -8 = 4x
Step-by-step explanation:
6x - 8 = 4x
6x- 4x = 8
2x = 8
x = 8/2
x = 4
[tex]...[/tex]
Answer: x=4
Step-by-step explanation:
6x-8=4x subtract 4x from both sides
-4x -4x
2x-8=0 isolate x by adding 8 on both sides
+8 +8
2x=8 divide by 2 on both sides
/2 /2
x=4
Simplify the expression.
Answer:
h to the power of 7 im pretty sure
Step-by-step explanation:
Answer:
h^7
Step-by-step explanation:
h^6 . h
h can be written as h^1
Formula : -
a^m . a^n = a^( m + n )
Here,
a = h
m = 6
n = 1
h^6 . h^1
= h^( 6 + 1 )
= h^7
please help me due in 1 hour
Answer:
For part A it is 670,000 times 0.02 and that equals 13400 so you add it and it is 683,400
Step-by-step explanation:
Part B is 696,800
Part c is they have to be individual and the years are not all connected. Each year is one more increase
Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Here the bird path will be a parabola with a maximum height of 20 yards.
The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)
= √(38-2)²
= 36 yards
Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
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Mrs. Wilkinson can buy a 20-ounce box of cereal for 3.60 or a 28-ounce box of cereal for 4.20. What is the better buy? Explain.
Answer:
the 20 ounce box
Step-by-step explanation:
because its less money per ounce
what expression represents the quotient of 17 and 4
Answer:
17 * 4
Step-by-step explanation:
A quotient is the answer to a multiplication problem.
I have no idea what this is can someone please help
Find the area of the rhombus. d=12 m; d1=22 m The area of the rhombus is Im?
The area of the rhombus is 132m
Formula for area of a rhombus:
Area= p * q/2
Where p = diagonal
q= diagonal
Area of the rhombus = 12 * 22/2
=132m
In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the best estimate of the number of passengers?
0 8 x 10"
O 8 x 10°
O 9 x 10
O 9 x 10'
Answer:
It is D 9 x 10
Step-by-step explanation:
If 2/8 of a class has a pencil and 2/6 of the class has pins but no pencils, how many more students have pins then pencils?
Answer:
.
Step-by-step explanation:
A storage box is 60 cm long, 45 cm wide, and 30 cm high. The lid is 10 cm high. What is the surface area of the box and its lid?
The formula for the surface area of a rectangular prism (the storage box) is given by: A=2(wl+hl+hw). In this instance, w = width, h = height, and l = length.
We will calculate the surface area of the box and lid by first determining the height with the storage box lid included.
The height is now 40 cm (= 30 + 10). The width is still 45 cm. The length is still 60 cm.
You can fill in these values: A = 2(wl+hl+hw) = 2((45 * 60) + (40 * 60) + (40 * 45)) = 13,800.
You, Bryce, and Karissa are trying to determine which paper towel brand will
win the contest.
Bryce wants to use the data to determine which team cleans the fastest. Use
the information from all three time intervals to determine rates for each
brand.
Which team (Brand A, Brand B, or Brand C) do the data suggest can clean the
spill the fastest?
Explain how you determined your answer, including specific rates for each
bran
The data of brand C suggests that brand C has the fastest clean time because it has the least average time
How to determine the brand that suggest the fastest?To do this, we simply calculate the average time of each brand.
From the complete question, we have:
Brand A: 20, 40, 60
Brand B: 30, 60, 90
Brand C: 15, 30, 45
The average is calculated using:
Average = Sum/Count
So, we have:
Brand A = (20 + 40 + 60)/3 = 40
Brand B = (30 + 60 + 90)/3 = 60
Brand C = (15 +30+ 45)/3 = 30
The least clean time is 30 (brand C).
Hence, the data of brand C suggests that brand C has the fastest clean time
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what equation is parallel to the line y=-3x+1 and goes through (-5,-6)
Step-by-step explanation:
Hey let solve this!!!the formular we're to use is the point slope formula
y - y1 = m( x - x1 ) from y = - 3x +1SLOPE = -3
and x1= -5 y1 = -6
HENCE
Y - Y1 = M (X- X1)
y-(-6) = -3( x--5)
y+ 6 = -3 (x+5 )
y+6 = -3x -15
y= -3x-15-6
y= -3x -21
hope this helpsplease rate and mark brainliest!!!Which expresses the solutions to x^2 - 10x + 13 = 0
The expression of the solution of the given quadratic equation is gotten as; x = 5 ± 2√3
How to find the root of quadratic Equations?We want to find the solution to the quadratic equation given as;
x² - 10x + 13 = 0
We will use the quadratic formula to get;
x = [-b ± √b² - 4ac]/2a
x = [-(-10) ± √(-10)² - 4(1 × 13)]/2(1)
x = 5 ± (√48)/2
x = 5 ± (4√3)/2
x = 5 ± 2√3
Thus, the solution is x = 5 ± 2√3
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Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information? A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 44, 28, 16. The third column is labeled B with entries 84, 54, 30. The fourth column is labeled C with entries 24, 12, 12. The fifth column is labeled Total with entries 106, 58, 48. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 12, 16, 28. The third column is labeled B with entries 24, 30, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 48, 58, 106. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 16, 12, 28. The third column is labeled B with entries 30, 24, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 58, 48, 106.
Answer:
the 2nd chart. chart B.
Step-by-step explanation:
edge 2022
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
Option B is the correct answer.
What is the two-way table?A two-way table is a table used to display the frequency distribution of two categorical variables.
It is also called a contingency table because it helps to examine the relationship between two variables, to see if they are dependent or independent.
We have,
A 5-column table has 3 rows.
The first column has entries Boys, girls, total.
The second column is labeled A with entries 12, 16, 28.
The third column is labeled B with entries 24, 30, 54.
The fourth column is labeled C with entries 12, 12, 24.
The fifth column is labeled Total with entries 48, 58, 106, represents the given information.
To understand why this is the correct two-way table, let's go through each row and column of the table:
The first row of the table shows the number of boys and girls who took the test, as well as the total number of students.
We are told that there are 106 total sophomores, so the entry in the "total" column is 106.
We are also told that there are 48 boys who received an A, B, or C on the test, so the entry in the "total" column for boys is 48.
Subtracting this from the total number of students gives us the number of girls:
106 - 48 = 58.
The second row of the table shows the number of students who received an A on the test.
We are told that there are 28 total A's, and out of those, 16 were received by girls.
This means that 28 - 16 = 12 A's were received by boys.
Therefore, the entries in the "A" column are 12 for boys and 16 for girls, which matches the table.
The third row of the table shows the number of students who received a B on the test.
We are told that there are 54 total B's, and out of those, 30 were received by girls.
This means that 54 - 30 = 24 B's were received by boys.
Therefore, the entries in the "B" column are 24 for boys and 30 for girls, which matches the table.
The fourth row of the table shows the number of students who received a C on the test.
We are told that there are 24 total C's, and out of those, 12 were received by boys.
This means that 24 - 12 = 12 C's were received by girls.
Therefore, the entries in the "C" column are 12 for boys and 12 for girls, which matches the table.
Thus,
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
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Twenty five percent of grade 8 students enrolled in a summer school review
course. Fifty percent of grade 8 students found grade 8 much more difficult
than grade 7. If taking a summer school review course and finding grade 8
more difficult are independent events, what percent of those who took the
review course found grade 8 much more difficult than grade 7?
25%
10%
12.5%
18%
Answer:
25 uo
Step-by-step explanation:
Statement is not the same thing
If 5 times a number increased by 30 is 15, what is the number?
9
3
-3
-15
Answer: -3
Step-by-step explanation:
5 times -3 is -15
-15 + 30 is 15
A mug has a diameter of 9 centimeters and a height of 11 centimeters.
Which of the following is the closest to the volume of the mug?
Answer: g
Step-by-step explanation:
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. What kind of sequence is this?
Answer:
Subtracting 7
Step-by-step explanation:
Given:
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.
To Find:
What kind of sequence is this?
Solve:
Let's make a table:
[1 stack] 45
[2 stack] 38
[3 stack] 31
[4 stack] 24
Now all we have to do is subtract to see what each is:
45 - 38 = 7
38 - 31 = 7
31 - 24 = 7
Thus,
[1 stack] 45 ⇒ 7
[2 stack] 38 ⇒ 7
[3 stack] 31 ⇒ 7
[4 stack] 24 ⇒ 7
Hence, each stack is going down by 7.
Kavinsky
In Fig. R6, O is the centre of the circle and ABC = 140°. Find y. A 20° B B 70° C 80° D 240° E 280° 70° B 140° C A Fig. R6
Answer:
(C). 80 °
Step-by-step explanation:
Hillsboro is 6 miles due north of the airport, and Middletown is 5 miles due east of the airport. How far apart are Hillsboro and Middletown?
Answer:
Approximately 7.81 miles apart.
Step-by-step explanation:
If you were to draw lines between the three points, you would see that it makes a triangle, with leg lengths 6 and 5, like in the attached file.
To find the distance between Hillsboro and Middletown, or the hypotenuse of the triangle, use the Pythagorean Theorem:
6² + 5² = c²
c² = 61
c = √61 = 7.81 miles
Hope this helps!
Which sequences are geometric sequences? Check all that apply. Use the graph to answer the questions.
The domain of the sequence is the set of
.
The common ratio is
.
The explicit formula for the sequence is
f(x) =
(
)x − 1.
Answer: natural numbers
3
1, 3
Step-by-step explanation:
The following answers are given below
What is Geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Given function is:
f(x)= x-1
A) The domain is the set of natural numbers.
B) The common ratio is 1.
D) An explicit formula representing the sequence is an =[tex]a_1^{r-1}[/tex]
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42. Which of the following expressions is equal to
(sin 60°)(cos 30º) + (cos 60°)(sin 30°) ?
F. cos(60° -30°)
G. cos(60° +30°)
H. sin(60° -30°)
J. sin(60° +30°)
K. sin(60* 430")
+ °
2
Answer:
sin ( 60° + 30° )
Step-by-step explanation:
There is a formula : -
sn ( A + B ) = sin A cos B + cos A sin B
Here,
A = 60°
B = 30°
So,
( sin 60° ) ( cos 30° ) + ( cos 60° ) ( sin 30° ) = sin ( 60° + 30° )
a Watch help video
The table displays
the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
2
75
8
80
6
85
9
90
7
95
6
all sum num/n
65+1+70+2+75+8+80+6+85+9+90+7+95+6/14
599/14
mean=42.7
(3/4)^4 what is the answer to this in fraction form
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{m}[/tex] = [tex]\frac{a^{m} }{b^{m} }[/tex] , then
[tex](\frac{3}{4}) ^{4}[/tex]
= [tex]\frac{3^{4} }{4^{4} }[/tex]
= [tex]\frac{81}{256}[/tex]
The volume of this right prismis 2500 What is the hegt, z. of the prisma Enter your answer to the bou X=
Answer:
10 units.
Step-by-step explanation:
Given:
[tex]\text{Volume of prism = 2500 units}^{3}[/tex][tex]\text{Length: 25 units}[/tex][tex]\text{Width: 10 units}[/tex]Formula:
[tex]\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}[/tex]
Substitute the length, width, and the volume of the prism in the formula
[tex]\implies \text{2500 = 25} \times 10 \times \text{Height}[/tex]
Divide 25 × 10 to both sides of the equation to isolate "Height"
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}[/tex]
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}[/tex]
Simplify the left hand side of the equation
[tex]\implies \dfrac{{25 \times 10 \times 10}}{25 \times 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 \times 10 \times 10][/tex]
[tex]\implies \dfrac{{10}}{1} = 10 = \text{Height}[/tex]
Therefore, the measure of the height is 10 units.
Given an = a + (n − 1)(d)
and the sequence
2, 9, 16, 23,..., identify the 50th
term in the sequence.
A. 343
B. 345
C. 49
D. 700
Answer:
345hope this helps
Step-by-step explanation:
