If z varies inversely as x^2, and z = 9 when x = 2/3, find z when x = 5/4

Answers

Answer 1

Answer:

Step-by-step explanation:

z varies inversely

so z=a/x^2

9=a/(2/3)^2

9=a/(4/9)

9=9a/4

a=4

z=4/x^2

z=4/(5/4)^2

z=4/(25/16)

z=64/25

Answer 2

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

z varies inversely as x². Let k represent the constant of proportionality, hence:

z = k/x²

z = 9 when x = 2/3, hence:

9 = k / (2/3)²

k = 4

z = 4/x²

When x = 5/4:

z = 4 / (5/4)²

z = 2.56

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

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Related Questions

az+17=-4z-b
z=_____

Someone help please

Answers

Answer:

4

Step-by-step explanation:

yes.

An 8% decrease from 5 per hour is

Answers

Answer:

4.6 per hour

Step-by-step explanation:

Decrease, means subtraction; 100% - 8% = 92%, or 0.92.

0.92(5) = 4.6 per hour

" If $6000 is borrowed at 7.5% simple interest for 2 yr, then the amount of interest is "

Answers

Answer:

u

Step-by-step explanation:

. What is the y-intercept of the graph of y = -2x + 3?

A. (0, -2)

B. (0, 3)

C. (-2, 0)

D. (3, 0)

Answers

Answer:

B (0, 3)

when a graph is in slope-intercept form (y =mx +b) then the last number is the y-intercept. in the equation m=the slope and b=the y-intercept. then you plug it into a point (x, y)

Step-by-step explanation:

I hope this helped :)

Answer:

B(0,3)

when a graph in slope intercept from ( y= mx+b) then the last number is the y - intercept in the equation m= the slope and b = the y - intercept then you you plug it into a point ( x, y)

Write an expression to explain the following word problem: Jeremy elimbed
25 feet up the mountain while Jessica olimbed 32 and a half feet up the
mountain higher than Jeremy

Answers

Answer:

Jessica = J(Jeremy)+32.5

Step-by-step explanation:

Jessica equals Jeremy + 32.5 feet.

Hope this helps, have a great day! :D

Find the area of the parallelogram shown below.
7
5
6
square units

Answers

Answer:

35

Step-by-step explanation:

A=bh=7*5=35

base= 7

height= 5

the formula is bh so you just multiply them and that's the area

Answer:

35 Sq. Units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15​

Answers

I think is c hope this helps

8^2 - (6+3) + 10
with explanation plz
54 points

Answers

Answer:

65

Step-by-step explanation:

8^2 - (6+3) + 10

PEMDAS says parentheses first

8^2 - (9) + 10

Then exponents

64 - (9) + 10

Then add and subtract from left to right

55 +10

65

Answer:65

Step-by-step explanation:

8^2 -(6+3) +10

8^2-9+ 10 . Do parenthesis

64-9+10. Do the exponent

55+10. Subtract

65. Add

brainliest requested.

Can the sides of a triangle have lengths 2.4, 6.5, and 7.4?

Answers

Answer:

yes.

Step-by-step explanation:

2.4 + 6.5 = 8.9 (triangle inequality)

8.9 > 7.4

= it is possible to make a triangle wit these measurements.

What is the value of x

Group of answer choices

60 degrees

30 degrees

15 degrees

45 degrees

Answers

Answer:

x = 15 degrees

Step-by-step explanation:

This is a right angle, since we know that a right angle contains 90 degrees, we can form an equation.

[tex]30+4x=90[/tex]

Now, we solve for x.

[tex]-30+30+ 4x = -30+90[/tex]

[tex]4x=60[/tex]

[tex]\frac{4x}{4}=\frac{90}{4}[/tex]

[tex]x=15[/tex]

A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
In your textbook pg. 111, scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information in the tick-mark diagrams.

Which line shows the ladybugs movement? The ant?
Unit rate for the Ladybug? The ant?
How long does it take for the ladybug to travel 12 cm? The ant?

Answers

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

Hence, line "v" denotes the speed of ant and line "u" denotes the speed of ladybug.

Unit rate/slope of the graph is (distance traveled/elapsed time)

Unit rate of ant is 3/2 cm/sec and that of ladybug is 1 cm/sec.Ant takes (12×2/3) = 8 sec and ladybug takes (12×1) = 12 sec to travel 12 cm.

Remember ant will take less time to travel a certain distance than ladybug.

The population standard deviation for the height of college basketball players is 2.9 inches. If we want to estimate a 99% confidence interval for the population mean height of these players with a 0.45 margin of error, how many randomly selected players must be surveyed

Answers

Answer:

276

Step-by-step explanation:

Given :

Standard deviation (σ) = 2.9 inches

Error margin (E) = 0.45

Confidence interval = 99%

Using the relation to obtain the sample size (n)

n = [(Zcrit * σ) / E]²

Zcritical at 99% confidence interval = 2.576

n = [(2.576 * 2.9) / 0.45]²

n = [7.4704 / 0.45]²

n = 16.600888^2

n = 275.58951

n = 276 samples

Sample size

You had $25 to spend on school lunches. After buying five of them, you have $15 left. How much did each lunch cost?​

Answers

each lunch costs $2 because 5 lunches times $2 equals $10

Answer:

2 each

Step-by-step explanation:

simple math

The histogram gives information about a fitness club

Answers

Answer:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

Find x & y so that quadrilateral is a parallelogram. (Look at image)

Answers

Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

6/9 of 27 students in a class play soccer some of the students play offense and the rest play defense the ratio of the students playing offense to the total number of students playing soccer is 1 to3 how many students play defense

Answers

12 students play defense. 1st step.  6/9 of 27 is 18.  2nd. the ratio of the students playing offense to the total number of students playing soccer is 1 to 3 which means the total amount of students is '3', in the ratio it's 3 because it's simplified (i like to think of it as 'groups'). since we know that there are a total of 18 students and there's 3 total 'groups' we divide 18 into 3 which is 6. so there's 6 students in each group. we subtract 6 (1 group) from 18 ( the total number of students) which is 12, so there are 12 students playing defense. if you wrote the ratio again without simplifying it would be  6:18

What times what equals 6 but adds to -1

Answers

Answer: Nothing

Step-by-step explanation: There aren't any numbers that multiply to equal 6 but add to be -1.

There aren't any numbers that multiply to equal 6 but add to be -1 but we can say -6 and positive 1.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.A mathematical equation is a statement with two equal sides and an equal sign in between. example, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For that , we need to try solving it first using the method of substitution in which we express one variable in other variable's form and then it can substitute this value in other equation to get linear equation in one variable.

We need to find the number that equals 6 but adds to -1.

We can see that there aren't any numbers that multiply to equal 6 but add to be -1.

So, we conclude that number could be -6 and positive 1.

Learn more about equations here;

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Sarah is solving r - 7 = 234. She wants to use inverse operations to solve this equations. Therefore she should,
a. multiply 7 to both sides of the equation
b. divide 7 to both sides of the equation
c. add 7 to both sides of the equation
d. subtract 7 to both sides of the equation.

Answers

Answer:

Option C : add 7 to both sides of the equation is the correct answer.

Step-by-step explanation:

Given that:

Sarah is solving the following equation.

r - 7 = 234

Sarah wants to use inverse operations.

In inverse operation she will eliminate 7 from left side of the equation by adding 7 to the both sides of the equation.

Hence,

Option C : add 7 to both sides of the equation is the correct answer.

Solve: 8 - 3x > -25 please

Answers

Answer:

x < 11

Step-by-step explanation:

8 - 3x > -25

Subtract 8 from each side

8 - 3x-8 > -25-8

-3x> -33

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -33/-3

x < 11

Solve for X:: show steps please!!

-5(3-x)+4=5x-11

Answers

Answer:

Let's solve your equation step-by-step.

−5(3−x)+4=5x−11

Step 1: Simplify both sides of the equation.

−5(3−x)+4=5x−11

(−5)(3)+(−5)(−x)+4=5x+−11(Distribute)

−15+5x+4=5x+−11

(5x)+(−15+4)=5x−11(Combine Like Terms)

5x+−11=5x−11

5x−11=5x−11

Step 2: Subtract 5x from both sides.

5x−11−5x=5x−11−5x

−11=−11

Step 3: Add 11 to both sides.

−11+11=−11+11

0=0

Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + y − 2z = −3
x + 3y − z = −4
3x + 4y − z = 5
(x, y, z) =

Answers

Answer:

x = -0.6

y = 2.2

z = 2

Step-by-step explanation:

2x + y - 2z = -3

x + 3y - z = 4

3x + 4y - z = 5

Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)

2 1 -2 -3

1 3 -1 4

3 4 -1 5

R1 / 2 → R1 (divide the 1 row by 2)

1 0.5 -1 -1.5

1 3 -1 4

3 4 -1 5

R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)

1 0.5 -1 -1.5

0 2.5 0 5.5

0 2.5 2 9.5

R2 / 2.5 → R2 (divide the 2 row by 2.5)

1 0.5 -1 -1.5

0 1 0 2.2

0 2.5 2 9.5

R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)

1 0 -1 -2.6

0 1 0 2.2

0 0 2 4

R3 / 2 → R3 (divide the 3 row by 2)

1 0 -1 -2.6

0 1 0 2.2

0 0 1 2

R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)

1 0 0 -0.6

0 1 0 2.2

0 0 1 2

x = -0.6

y = 2.2

z = 2

If the circumference of a circle is 4π cm, what is its area?

Answers

the area of the circle would be 1.27

4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
-4 8/11
4 7/9
4.709

Answers

-4.79, -4 8/11, 4.709, 4 7/9

PLEASE HELP ME

Math question below

Answers

Answer : The surface area of triangular prism is 1080 in².

Step-by-step explanation :

Formula used to calculate the surface area of triangular prism is:

Surface area of triangular prism = (2 × Area of triangle) + Area of all rectangle

Area of triangle = [tex]\frac{1}{2}\times base\times height[/tex]

Area of rectangle = length × breadth

In the given triangular prism, there are 2 triangles and 3 different rectangles.

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times base\times height)[/tex] + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times 10\times 24)+(24\times 14)+(26\times 14)+(14\times 10)[/tex]

Surface area of triangular prism = 1080 in²

Therefore, the surface area of triangular prism is 1080 in².

Hilary has 48 building blocks in the red bucket. That is 6 times as many blocks in the green bucket. How many building blocks are in the green bucket?

Answers

Answer: 8

Step-by-step explanation:

From the question, we are informed that Hilary has 48 building blocks in the red bucket which is 6 times as many blocks in the green bucket.

Let the number of building blocks that are in the green bucket be represented by x.

Based on the scenario given in the question, this will be:

6 × x = 48.

6x = 48

x = 48/6.

x = 8

This means that there are 8 green building blocks

PLEASE HELP AND GET POINTS!

Answers

Answer:

i think 6 x 72 = calculator

Step-by-step explanation:

Answer:

6 x 70 = calculator

Step-by-step explanation:

8 over 15? is it closer to 0, 1 over 2 or 1

Answers

8/15 is about 0.53
It would be closer to 1/2 or 1 over 2

Answer:

its closer to 1....

Step-by-step explanation:

1/2 is half

so...

half of 15 is 7.5

8 is larger than 7.5

so that makes it closer to one

Generate the first five terms in the sequence using the explicit formula.

Answers

the answer is c

let's check

-4(1)+3=-1

-4(2)+3=-5

.......

It’s 1:00 pm and I haven’t finish my homework plz helpp

Answers

Answer:

Concept: Vectors

The line demonstrates a 90 degree angle Hence they are Perpendicular by geometric qualitiesGive brainlist

Answer:

Omg...so complete fast......

PLEASE HELP ME I WILL MARK BRAINLIEST IF YOUR RIGHT..

Answers

Answer:

C

Step-by-step explanation:

a function means each x value will have only one outcome

example, (8,5) (9,5) is ok but (8,6) (8,10) isnt

Answer: The correct answer is "C" because (x, y) represent a function of ordered pairs like {(-1, 1), (0, 0), (1, 1), (2, 2)}.     :)

Step-by-step explanation:

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