A figure is shown with the given dimensions.



What is the area, in square feet, of the figure?

Answer:   89.6 kg of water

Step-by-step explanation:

Find the total volume of the tank:

(80cm)*(35cm)*(40cm) = 112,000 cm^3

4/5 of this would be 89,600 cm^3

Water has a mass of 1 gram/cm^3

(1 gram/cm^3)*(89,600 cm^3) = 89,600 g of water

(89,600 g)*(1 kg/1,000 g) = 89.6 kg of water

Answer:

Reflection

Step-by-step explanation:

With a reflection, a shape is mirrored across a line. So, while its position is changed, the points end up getting flipped too. In this problem, you can imagine a diagonal line goes right through the center of the two shapes shown (the original and its mirror). The line would be equidistant from L and G; it would be equidistant from B and D; it would also be equidistant from U and O. If you were to mirror B, U, and L across this line, you would get your reflection points D, O, and G.

The shape BUL is mirrored over a diagonal line to get DOG, which means it is a reflection

Answer:

It's all explained below :)

Step-by-step explanation:

So first we need to go to a graphing calculator! I usually use Desmos to do my stats stuff. You'll wanna head to their linear regression calculator (I can't add a link, but just google Desmos linear regresion and it'll pop up).

Put the points into the table. Lines of best fit have the equation y1 ~ bx1+a, so put that in the box right below the table, where you see another equation already written- just edit it. We see all the other numbers listed below that, so we know that b=-0.894 and a=13.599, so the line of best fit is -0.9x + 13.6 = y when you round those numbers.

The correlation coefficient is represented by the letter r. r is shown below as well, and is -0.964. Strong correlations are represented by a value close to the number 1, so this is strong, as it's very close. It is negative because of its sign. Correlation coefficients don't go over the number 1 or below -1, so be careful. I hope this was helpful! If you need any more clarification just let me know.

Answer:

3/4

Step-by-step explanation:

(4 , 1)  ; ( 8 , 4)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

          \(\frac{4-1}{8-4}\\\\=\frac{3}{4}\)

Answer:

-4=x

Step-by-step explanation:

1) 1-2x=-x-3 (letter's to the left)

2) then you get 1-x=-3

3) then you subtract 1 on both sides

4) then you dived the -1

5)answer -4=x

Answer:

\(\displaystyle y = 4x\)

Explanation:

Take a look at the endpoint of \(\displaystyle [10, 40].\) If you would just simply divide forty by ten, you will get your rate of change [slope] of four, leading you to the equation of \(\displaystyle y = 4x,\) especially because we are dealing with “direct variation”.

I am joyous to assist you at any time.

The minimum unit cost of the car is $12232.1

Given: cost function C(x)=0.9x² - 414x + 59,366

In order to find the minimum point, take the derivative of the cost function:

dC/dx = 2x - 414          (equate to zero and solve for x)

2x - 414 = 0                

2x = 414

x = 414/2 = 207

Thus, the minimum point is at x =207

The minimum unit cost can be obtained by substituting x = 207 into the cost equation:

C(x) = 0.9x² - 414x + 59,366

C(207) = 0.9(207)² - 414(207) +  59,366

          = 38564.1 - 85698 + 59,366

           = $12232.1

Therefore, the minimum unit cost is $12232.1

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Answer:

See proof below

Step-by-step explanation:

From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)

<2 + <3 = 180 .... 1

Similarly. <1 and <2 are also supplementary angles

<1 + <2 = 180 .... 2

Subtract 1 from 2;

<3 - < 1 + <2 - <2 = 180 - 180

<3 - <1 +0 = 0

<3 - <1 = 0

Add <1 to both sides

<3 - <1 + <1 = 0+<1

<3 = <1 (Proved!)

This shows that <3 and <1 are equal

We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal

Answer: 2/3

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Answer:

es la tercera amiga yo pienso

The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + 12x

Now, We can change the function into the form,

f (x) = (x - h)² + k

Where, (h, k) is vertex.

Here, The function is,

⇒ f (x) = x² + 12x

⇒ f (x) = x² + 12x + 36 - 36

⇒ f (x) = (x + 6)² - 36

⇒ f (x) = (x - (- 6))² + (- 36)

Hence, By comparing,

Vertex = (h, k) = (- 6, - 36)

Thus, The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

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Answer:

(9,3)

Step-by-step explanation:

Use elimination to solve.

-2 (-3x + 3y = -18)

6x - 6y = 36

-6x - 3y = -63

The 6x and -6x are eliminated and you are left with -9y = -27 when you combine -6y and -3y, and 36 - 63.

y = 3

Then, substitute 3 into either equation to find x

-3x + 3(3) = -18

-3x + 9 = -18

-3x = -27

x = 9

One possible values of the integers is: a = 8020k, b = -10025k, and c = 401k where k is an arbitrary integer.

To find integers s, t, u, v such that 1485s + 952t = 690u + 539v, we can use the Extended Euclidean Algorithm. First, we compute the greatest common divisor of 1485 and 952:

gcd(1485, 952) = gcd(952, 533) = gcd(533, 419) = gcd(419, 114) = gcd(114, 91) = gcd(91, 23) = 23

Using the algorithm, we can write 23 as a linear combination of 1485 and 952:

23 = (-17) * 1485 + (27) * 952

Multiplying both sides by (30), we get:

690 = (-510) * 1485 + (810) * 952

and

539 = (357) * 1485 + (-567) * 952

Therefore,

s = -510u + 357v

t = 810u -567v

where u and v are arbitrary integers.

For the second part of the question, we need to find integers a, b, c, d such that:

211a + 307b +401c +503d =0

One possible way is:

a = -262

b = -169

c = 122

d = 97

To check that this, we substitute these values into the equation:

211(-262) +307(-169) +401(122) +503(97) = -55682 -52083 +51122 +50691 =0

Therefore, this is a valid solution.

Finally, for the third part of the question, we need to find integers a, b, c such that:

690a +539b=401c

Using the Extended Euclidean Algorithm, we can write:

gcd(690, 539) = gcd(539, 151) = gcd(151, 86) = gcd(86, 65) = gcd(65, 21) = gcd(21, 2) = 1

and

1 = (20) * 690 + (-25) * 539

Multiplying both sides by 401, we get:

401 = (8020) * 690 + (-10025) * 539

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

D

Step-by-step explanation:

Split the shape into 2 figures.

I would split it so that there is a square and a larger rectangle.

Find the dimensions.

Square = 1 x 1

Rectangle= 4 x 3

Add the areas!

1+12

13!

Answer:

A^figure = 13ft

Step-by-step explanation:

A^figure = A^square + A^rectangle

A^figure = bh + bh

A^figure = 1 x 1 + 4 x 3

A^figure = 1 + 12

A^figure = 13ft

Answer:

C

Step-by-step explanation:

It is the only one that makes sense; the third statement is totally false so B would be incorrect, A and B are wrong as both the first and second statements are true.

Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Answer:

x = 5

Step-by-step explanation:

By Basic Proportionality Theorem:

\( \frac{14}{10} = \frac{2x - 3}{x} \\ \\ 10(2x - 3) = 14x \\ \\ 20x - 30 = 14x \\ \\ 20x - 14x = 30 \\ \\ 6x = 30 \\ \\ x = \frac{30}{6} \\ \\ x = 5\)

Answer: A) No, because it has a constant rate of change

=============================================================

Explanation:

Each time x goes up by 1, y drops by 2.

This means,

slope = rise/run

slope = (change in y)/(change in x)

slope = (y drops by 2)/(x goes up by 1)

slope = -2/1

slope = -2

-----------

We can pick two points from the table to plug into the slope formula. I'll pick the first two rows

m = slope

m = (y2-y1)/(x2-x1)

m = (2-4)/(7-6)

m = -2/1

m = -2

If you tried every pair of rows possible for this table, you'll get the same slope each time. This is why the rate of change is constant.

This means the data is linear instead of nonlinear. Plotting the points leads to a single straight line going through all four points. See the diagram below. The graph was made with GeoGebra.

The equation of that red line is y = -2x+16 which is equivalent to 2x+y = 16.

In the graph, going from A to B has us go down 2 and to the right 1, which is one visual way of seeing the slope is -2/1 = -2.

Answer: 12.8x2

Step-by-step explanation:

Based on the given task content; the solution to the Multiplication of 3.2x and 4x is 12.8x².

The correct answer option is option a.

This is a process of computing the sum of a number with itself in a specified number of times. Multiplication is also called product and it is represented by the sigh ×. The product of a and b means ab.

For instance, from the task which is given above;

3.2x and 4x

= 3.2x × 4x

= 12.8x²

In this answer above,

12.8 is the coefficient and

x² is the variable.

In conclusion, 3.2x × 4x will give the result 12.8x².

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Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

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Answer:

m-n/2

Step-by-step explanation:

we are here given that,

\(\longrightarrow \log_{a}(15)=m \) and ,

\(\longrightarrow \log_{a}(5) = n \)

Taking the first given equation, we have;

\(\longrightarrow \log_{a}15=m \\ \)

\(\longrightarrow \log_{a}(5\times 3) = m\\\)

\(\longrightarrow \log_a 5 + \log_a 3 = m \)

now substitute the value from second equation,

\(\longrightarrow n + \log_a 3 = m \\ \)

\(\longrightarrow \log_a(\sqrt3)^2 = m - n \\ \)

\(\longrightarrow 2 log_a \sqrt3 = m - n \\ \)

\(\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} \)

And we are done!

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer:

25.4 or 25 times

Step-by-step explanation:

137.25-10.25=127

127/5=25.4

Answer:

500.00    equal

5 × 10      not equal

5 × 10²      equal

50.05     not equal

500.500      not equal

The total profit that is earned is 4512.5

100 - q = 0

q = 100

Maximization is where q = 0

MR = mc

100 - q = 5

such that q = 95

Price would be  100 -0.5(95)

= 100 - 47.5

= 52.5

Profit earned would be

= 95*52.5 -5*95

= 4512.5

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Answer:

10

Step-by-step explanation:

Answer:

it 10 just 10                                  

Step-by-step explanation:      

meber its      /|                          /======\

                  /   |                         |               |

               /      |                         |               |

                      |                         |               |

                      |                         |               |

                      |                          \======/

BEAT THAT NEEEEEEEEERDS

                     by Brandon Frazier

In 13.567% of the 30 cities, the mean prevalence of childhood asthma will be higher than 2.5%.

Given that:

X: childhood asthma prevalence

With mean u = 2.22%

and standard deviation σ= 1.39%

To find : Determine the probability that the average prevalence of childhood asthma in a sample of n cities is higher than 2.5%.

Although we are unsure about the distribution of the variable, keep in mind that from n ≥ 30, the sampling distribution can be roughly compared to the normal distribution according to the central limit theorem:

X≈N(μ;σ²/n)

Additionally, compute the requested probability using the standard normal distribution:

P(X>2.5)= 1 - P(X≤2.5)

Determine the Z value given the X value:

Z = (X - u)/ (σ/√n)

Z = (2.5-2.2)/(1.39/√30)

Z = 1.10

Using the Z-tables you have to look for the value of

P(Z≤1.10)= 0.86433

1 - 0.86433= 0.13567

Then P(X>2.5)= 1 - P(X≤2.5)= 1 - P(Z≤1.10)= 1 - 0.86433= 0.13567

So, 13.567% of the 30 cities will have a mean childhood asthma prevalence greater than 2.5%

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The amount of the payment is $2,705.88.

The payment amount is rounded to the nearest penny, and it is specified to use dollar signs and commas where needed. The total payment is $2,705.88, which indicates the monetary value of the transaction. The precision of the payment amount is provided, ensuring that it is accurate up to the nearest penny. The formatting guidelines for using dollar signs and commas are followed, adding clarity to the monetary value presented.

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