one step equations word problems. I ONLY NEED 3-8!!!!

The contour map of the given function illustrates the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.

To draw a contour map of the function f(x, y) = y/(x^2 + y^2) - 4, we need to plot several level curves.

Level curves are curves in the xy-plane that represent points where the function f(x, y) takes a constant value.

To find the level curves, we set f(x, y) equal to different constant values and solve for y in terms of x.

Let's choose some constant values for f(x, y) and find the corresponding level curves:

When f(x, y) = 0:

Setting y/(\(x^2 + y^2\)) - 4 = 0, we have y = 4(\(x^2 + y^2\)).

This equation represents a circle centered at the origin with radius 4.

When f(x, y) = -2:

Setting y/(\(x^2 + y^2\)) - 4 = -2, we have y = 2(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 2.

When f(x, y) = 2:

Setting y/(\(x^2 + y^2\)) - 4 = 2, we have y = 6(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 6.

By plotting these level curves on the xy-plane, we can create a contour map that shows the behavior of the function f(x, y).

The circles centered at the origin with radii 2, 4, and 6 represent the level curves corresponding to f(x, y) = -2, 0, and 2, respectively.

The contour map will illustrate how the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.

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Answer:

32 black grapes

Step-by-step explanation:

24 green grapes

3:4

24÷3=8

8×4=32

there are 32 grapes

The independent variable in this experiment is the highly nutritious supplement.

The independent variable in this experiment is the highly nutritious supplement. The teacher is manipulating this variable by providing it to one group while not providing it to the other group. The dependent variable is the academic performance of the students. The teacher measures the performance of the students to see how it changes depending on whether or not they are given the supplement. The two groups of students and the same diet are controlled variables – variables that are kept the same, as they are not directly related to the experiment and the related hypothesized effect.

Therefore, the independent variable in this experiment is the highly nutritious supplement.

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Answer:

However, when you look at the restrictions for the function, you see that the square root portion of the function is only valid when x > 5. If x < or = 5, the other part of the function is valid, and because it has no square root or denominator, all real numbers are valid as the domain for this piecewise function....!!!

Answer:

\(c(8) =29\)

Step-by-step explanation:

\(c(n) = -6 + 5(n - 1)\)

For 8th term (n=8)

\(c(8) = -6 + 5(8 - 1)\)

\(c(8) = -6 + 35\)

\(c(8) =29\)

you have two walls that are  10 by 7.5 so 75 feet ^2 in area each

you have another two walls that are 14 by 7.5  so 105 feet^ 2 each

so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy

for the ceiling you do the same, the area is 140 and you only need one coat

Answer:

x = 50

Step-by-step explanation:

\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-2\)

\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-\log _{10}\left(100\right)\)

\(\log _{10}\left(x\right)=\log _{10}\left(\frac{2x^2}{100} \right)\)

\(x = \frac{2x^2}{100}\)

\(100x=2x^2\)

\(x^2 = 50x\)

\(x = 50\)

Use distance formula and take this question down, easily.

Step-by-step explanation:

Distance xy =

\( \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }\)

Therefore AB

=\(\sqrt{(7-3)^2 +(8-4)^2}\)

=\(\sqrt{(4)^2 +(4)^2}\)

=\(\sqrt{32}\)

=\(\boxed{4 \sqrt{2}-units} \)

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\(\large\underline{ \boxed{ \sf{✰\:Important\: points }}}\)

➢ Here question is asking to find the distance between points "A" and "B"

➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula

➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions

\(\rule{80mm}{2.5pt}\)

\({ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}\)

★ Here

\(\rule{80mm}{2.5pt}\)

\( \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}\)

\(\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units\)

\(\rule{80mm}{2.5pt}\)

Hence distance of AB =

\({ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}\)

Hope it helps !

The intersectiοn οf twο οr mοre lines οr edges is knοwn as a vertex (plural: vertices). We refer tο 3D shapes as having several vertices when they have mοre than οne.

Optiοn (b) A’ (1, 4), B’ (-1,-1), C’ (0, 3) is cοrrect.

A pοlygοn is called a triangle when it has three edges and three vertices. It belοngs tο the basic geοmetric shapes.

Triangle ABC with vertices A (2, 4), B( 4,-1), and C(3,3) is reflected acrοss the y-axis and then translated 3 units tο the right tο fοrm triangle A’B’C’.

We have tο find the cοοrdinates οf the vertices οf triangle A’B’C’.

If triangle ABC is reflected acrοss the y-axis, then

(x, y) → (-x, y)

A(2,4) → A₁(-2,4)

B(4,-1) → B₁(-4,-1)

C(3,3) → C₁(-3,3)

Cοοrdinates οf the image after reflectiοn acrοss the y-axis are

A₁(-2,4), B₁(-4,-1), C₁(-3,3)

(x, y) → (x+3,y)

A₁(-2,4) → A'(1,4)

B₁(-4,-1) → B'(-1,-1)

C₁(-3,3) → C' (0,3)

Therefοre, the vertices οf triangle A’B’C’ are A’ (1, 4), B’ (-1,-1), C’ (0, 3).

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Step-by-step explanation:

exterior angle is the sum of two opposite interior angle

11x+9=3x+12+85

11x-3x=88

8x=88

x=11.

hope this helps you.

Answer:

x=11

Step-by-step explanation:

85 + 3x + 12= 11x+9

97  +3x= 11x+9

-97            -97

3x= 11x - 88

-11x    -11x

-8x = -88

/-8     /-8

x=11

Answer:

Step-by-step explanation:

from the figure we understand that it is an isosceles triangle, the angles at the base are the same, so they are two angles of 72 °

find y

180 - 72 - 72 = 36

Answer:

x = 72.

y = 36.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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| x

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|

|

-------------

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|

|

|

|

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The required proportionality relationship between Jordan and his friend for the sit-up is y = 2x.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Jordan recorded the number of sit-ups he completed during the first 4 track practices, we can establish the proportionality relationship between Jordan and his friend by comparing the number of sit-ups each completed during each practice.

Let's call the number of sit-ups that Jordan and his friend completed during each practice "x" and "y". Then, the number of sit-ups that his friend completed during each practice would be "2x".

The proportionality relationship between Jordan and his friend can be expressed as,

y = 2x

This means that for every 1 sit-up that Jordan completed, his friend completed 2 sit-ups, or that Jordan's friend completed twice the number of sit-ups that Jordan completed during each practice.

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

No solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

TO LATE SORRYYYY BUT HOPE ITS HELPFUL ❤❤

Answer:

NO SOLUTION

Step-by-step explanation:

14x+8=9(x+2)+5x

14x+8=9x+18+5x collect like terms

14x+8=9x+5x+18

14x+8=14x+18

14x+8-8=14x+18-8

14x=14x+10

14x-14x=14x-14x+10

0=10

NO SOLUTION

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

.#

Answer:

x is all real numbers

Step-by-step explanation:

This means that the graph is continuous from negative infinity to positive infinity.

An equation that can be written in the general form ax² + bx + c = 0, where a ≠ 0, is called a quadratic equation. A quadratic equation is a type of equation where the highest exponent on the variable (usually x) is 2.

Quadratic equations are polynomial equations of degree 2, which involve a variable raised to the power of 2. The general form of equation contains three coefficients: a, b, and c, where a represents the coefficient of the quadratic term, b represents the coefficient of the linear term, and c represents the constant term.

The solutions to a quadratic equation are typically found using methods such as factoring, completing the square, or applying the quadratic formula.

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Answer:

9 minutes

Step-by-step explanation:

The amount of time t that it takes to put out a fire varies inversely with the volume of water used, G

t = k/G

Where,

k = constant

When G is 3, t is 15

t = k/G

15 = k/3

Cross product

15 * 3 = k

k = 45

Find t when G = 5

t = k/G

t = 45/5

t = 9 minutes

Answer:

Triangle KLM

Step-by-step explanation:

Firstly, we need to write the coordinates of triangle NPQ

We have this as;

(-7,-6) for N

(-4,-3) for P

(-4,-6) for Q

Now, we are going to use the given translation formula;

(x + 8, y + 1)

N’ will be (-7+ 8, -6 + 1) = (1,-5)

P’ will be (-4+ 8, -3+1) = (4,-2)

Q’ will be (-4+ 8, -6+1) = (4,-5)

Now, we need to find the triangle with the exact given transformation coordinates calculated above;

We have the triangle as;

KLM

With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)

Answer: 46

Step-by-step explanation:

Answer:

let the numbers be 5x,4x and X respectively

therefore X=6

now ration

therefore ratio=30:24:6

Answer:

5- 5:2

4- 2:5

1-1:10

these are the ratio

of the question

ok hope it

help you

Answer:

5.28000x10^5

Step-by-step explanation:

Hello!

∛729 = 9

The answer is 9.

yes, because the midpoints (a+c) = b

Given that the line's equation is y=x.

B and C are the two points on this line.

( a+ c, b) is the midpoint of B and C.

We can see from this that using the midpoint formula

a + c = \(\frac{x1+x2}{2}\)

b=\(\frac{y1+y2}{2}\)

Because both points are on y=x, we get

x1=y1, x2=y2.

As a result, x1 = a+c and 2y1 = 2b or y1 =b.

Because x1=y1, we have a+c =b.

In other words, the coordinates of the midpoint satisfy the equation y=x.

Thus, the answer is

because (a+c) = b

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Answer:

my best guess is answer choice c.

Answer:

18.27

Step-by-step explanation:

70.50-52.01- 0.22

18.49-0.22

18.27