The product of three integers is -40. What could the three integers be?
Explain your thinking.

Answer:

- 25/12

Hope it helps!

Answer:

$8300

Step-by-step explanation:

First, you need to know the formula for this type of question.

The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.

Your equation will be 581 = P(0.07)(1), since 0.07*1 is 0.07, you'll earn only 7% interest.

So, we broke down the equation to 581 = P(0.07), and you have to isolate P.

Since you have to isolate P, you divide 0.07 from both sides of the equation, which is 581/0.07 = 8300.

So, your principle investment is $8300.

Good luck!

The test is to find out if there is a difference in the proportion of the number of autism in two samples differentiated by the use of vitamins.

The test statistic for the test is approximately 2.98

The p-value associated is 0.0028

Reasons:

The given parameters are;

[tex]\begin{array}{|l|c|c|c|}&\mathbf{\underline{Autism}}&\mathbf{\underline{Typical \ Development }}&\mathbf{\underline{Total}}\\No \ vitamin&111&70&181\\Vitamin&143&159&302\\Total&254&229&483\end{array}\right][/tex]

The null hypothesis is H₀; [tex]\hat{p}_1 = \hat{p}_2[/tex]

The alternative hypothesis is Hₐ; [tex]\hat{p}_1 \neq \hat{p}_2[/tex]

Where:

[tex]\hat{p}_1[/tex] = The proportion of the sample that did not use vitamin and had autism

[tex]\hat{p}_2[/tex] = The proportion of the sample that used vitamin and had autism

The test statistics for the difference of two proportions is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}\cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Where;

n₁ = 181, n₂ = 302, [tex]\hat p_1 = \dfrac{111}{181}[/tex],  [tex]\hat p_2 = \dfrac{143}{302}[/tex], [tex]\hat p = \dfrac{111 + 143}{181 + 302 } = \dfrac{254}{283}[/tex]

[tex]The\ test\ statistics,\, Z=\dfrac{\dfrac{111}{181}-\dfrac{143}{302}}{\sqrt{ \dfrac{254}{283}\cdot (1-\dfrac{254}{283}) \times \left (\dfrac{1}{181}+\dfrac{1}{302} \right )}} \approx 2.98[/tex]

The test statistic for the test, Z ≈ 2.98

From the Z-table, we have Z > 2.98 = 1 - 0.9986, therefore, given that the

alternative hypothesis [tex]\hat p_1 \neq \hat p_2[/tex], the p-value is 2 × (1 - 0.9986) = 0.0028

The p-value associated with the test is 0.0028

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Answer:

Step-by-step explanation:

Internal alternate angles are identical when parallel lines are intersected by a third line

3x + 16 = 5x - 54

     -2x = -70

        x = 35

Answer:

option B

Step-by-step explanation:

The amount of ribbon needed is 120 inches

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.

Given:

length = 24 inches

width = 36 inches

So, amount of ribbon needed

=2(36+ 24)

=2(60)

=120 inches

Hence, the amount of ribbon needed is 120 inches

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Answer:

f=-1/3+2 1/3

Step-by-step explanation:

cause do slope equation

answer: 2w^3 - 9w^2 + 10w = 528

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 feet less than the width. Then the equation will be

L = 2W - 5          ...1

H = W - 2           ...2

Then the polynomial is given as,

V = L x W x H

528 = (2W - 5)(W - 2)W

528 = (2W² - 5W)(W - 2)

528 = 2W³ - 4W² - 5W² + 10W

0 = 2W³ - 9W² + 10W - 528

Factorize the equation, then we have

2W³ - 4W² - 5W² + 10W - 528 = 0

(W - 8)(4W + 7)² = 0

W = 8, 1.75i, and -1.75i

Then the length and height will be

L = 2 x 8 - 5

L = 11 feet

H = 8 - 2

H = 6 feet

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

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Answer:

1875

Step-by-step explanation:

The bank loaned part of the $25,500 at a 6% interest rate. We will call this loan amount x. Then the rest of the 25,500 was loaned at a 9% interest rate. We will define this amount as 25,500 - x. We also know that the total interest earned was $1,875. With this information, we form the equation:

.06(x) + .09(25500 - x) = 1,875

.06x + (2,295 - .09x) = 1,875

Simplify the above equation to:

-.03x + 2,295 = 1,875

-.03x = -420

x = 14,000

Since x is the amount loaned at the 6% interest rate, we know that $11,500 was loaned at a 9% interest rate. (25,500 - 14,000 =11,500)

To figure out the amount loaned at 6%, subtract 11,500 from 25,500 ... this gives us 14,000. This means $14,000 was loaned at 6%.

To check:

14,000 x .06 = 840

11,500 x .09 = 1035

840 + 1035 = 1875

Answer:

-30

2

144

675

0

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

Scale factor of similar figures is usually the ratio of one to the other.

In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.

Length of smaller figure = 3

Corresponding length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = ½

I got you :D

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Answer:

1.5

Step-by-step explanation:

If 1 tablet is 100mg, and you need 150mg, we set up this equation:

Let x be the number of tablets Coco needs.

x = 150/100

x = 1.5

Therefore, you need 1.5 tablets for the medication.

Answer:

if the lines are parallel, that means they have to have the same slope in order to stay parallel to one another. so the slope of both the green and red lines is 1/5

Answer:

Step-by-step explanation:

[tex]\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\[/tex]

[tex]a=\frac{67}{85} \\b=\frac{-63}{85}[/tex]

Answer:

The value of y is decreasing for all real values of x (-∞,∞).

Step-by-step explanation:

Seeing as we have a simple 1st power equation, the slope will remain the same.  So, we solve for slope to see if this equation is for an increasing or a decreasing line.

y = mx + b, where m = the slope of the line

Is the standard slope form of a line, which matches the one given.

so in our equation, f(x) = -2x -3, our m value is -2.

Seeing as -2 is less than 0, the answer is:

The value of y is decreasing for all real values of x (-∞,∞).

Answer: 54

Step-by-step explanation:

A cube is a perfect square to find the area use L x W and if the length is 3, the width is 9

A cube has 6 sides, so 9 x 6 = 54

The total area of all the faces of the cube is 54 square meters.

Let's dive into finding the total area of all the faces of a cube.

A cube is a special type of three-dimensional shape where all its sides (called faces) are equal squares.

In your case, each face has a side length of 3 meters.

Now, to find the total surface area of the cube, we need to calculate the area of each face and then add them up.

The formula to find the area of a square is side length squared, which is [tex]\(A = s^2\)[/tex], where [tex]\(A\)[/tex] is the area and [tex]\(s\)[/tex] is the side length.

So, for your cube, each face's area is [tex]\(3^2 = 9\)[/tex] square meters. Since a cube has 6 faces,

we simply multiply the area of one face by the number of faces: [tex]\(6 \times 9 = 54\)[/tex] square meters.

To sum it up, the total area of all the faces of the cube is 54 square meters.

This is calculated by finding the area of one face and then multiplying it by the total number of faces.

In this case, each face has an area of 9 square meters, and a cube has 6 faces, resulting in a total area of 54 square meters.

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Answer:

Answer is option A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

A. Centimeters per year

Step-by-step explanation:

I THINK. It's easier to think about it when you give shorter amounts of time, but not as short as a day or hour because the movement is too slow

Answer:

Multiply by 4, then add 2

Step-by-step explanation:

1*4 = 4

4 + 2 = 6

6*4 = 24

24 + 2 = 26

and so on...

Answer:

[tex]48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9[/tex]

Answer:

(2.405, 1.357)

General Formulas and Concepts:

Algebra I

Coordinate Planes

Step-by-step explanation:

To find the solution to a systems of equations, we can graph the functions in a coordinate plane and find where the 2 lines intersect. Where the 2 lines intersect is the solution to the systems of equations.

Answer:

B

Step-by-step explanation:

1^2 + 8^2 = c^2

1 + 64 = c^2

65 = c^2

√c^2 = √65

Answer:

Step-by-step explanation:

According to the condition, for any single property the probability not selling it during a week is 100% - 40% = 1 - 0.4 = 0.6.

The probability not selling any one of 13 properties during a week is  0.6%5E13.

The probability to sell at least 1 property in one week is the COMPLEMENT to it  

Answer:

Step-by-step explanation:

it has real roots if  disc.≥0

p²-4×2×3≥0

p²≥24

|p|≥2√6

p≥2√6

or

p≤-2√6

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Answer:

141

Step-by-step explanation:

First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.

Let x = number of hamburgers.

Let y = number of cheeseburgers.

Now we use the given information to write two equations using the variables we defined above.

"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"

x + y = 423

"the number of cheeseburgers sold was two

times the number of hamburgers sold"

y = 2x

We have a system of two equations.

x + y = 423

y = 2x

Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.

x + y = 423

x + 2x = 423

3x = 423

x = 141

Since we let x = number of hamburgers, we have the answer.

Answer: 141

Answer:

3.6

Step-by-step explanation:

HOPE IT HELPS!!!!!!!

Step-by-step explanation:

See this above attachment.

[tex]\tt{\sqrt{12.96}=3.6}[/tex]

Answer: Coordinates of the point E of the middle AC (-1 ; 1 )

Step-by-step explanation: