Factor 24x - 20. Fill in the missing numbers.

= 4( ___x - ____) .

Answer:

\(5x= 15\)

Step-by-step explanation:

Given

\(3x - 5 = -2x +10\)

Required

Write the variables and constants on different sides

\(3x - 5 = -2x +10\)

Add 2x to both sides

\(2x + 3x - 5 =2x -2x +10\)

\(5x - 5 =10\)

Add 5 to both sides

\(5x - 5 + 5 = 10 + 5\)

\(5x= 10 + 5\)

\(5x= 15\)

Hence, the equation is

\(5x= 15\)

Solving further [divide both sides by 5]

\(x = 3\)

I think it is -5=x

Step-by-step explanation:

Answer: Option 1

Step-by-step explanation: The highest number, 13 is plotted on the leftmost point and the highest number, 37 is plotted on the rightmost point

The coordinates of the turning point (vertex) of the graph is at (0, 3).

To sketch the graph of the function y = 2x^2 + 3 for values of x in the domain -4 to 4, we'll plot a few points and connect them to form the curve.

First, let's obtain the coordinates of the turning point (vertex) of the graph.

The vertex of a quadratic function in the form y = ax^2 + bx + c is obtained by (-b/2a, f(-b/2a)).

In this case, a = 2, b = 0, and c = 3.

The x-coordinate of the turning point is -b/2a = -0/(2*2) = 0.

Substituting x = 0 into the equation, we obtain the y-coordinate:

y = 2(0)^2 + 3 = 3.

So, the turning point (vertex) of the graph is (0, 3).

Now, let's plot a few more points within the provided domain (-4 to 4) and connect them to form the curve:

For x = -4, y = 2(-4)^2 + 3 = 35. So, we have the point (-4, 35).

For x = -2, y = 2(-2)^2 + 3 = 11. So, we have the point (-2, 11).

For x = 2, y = 2(2)^2 + 3 = 11. So, we have the point (2, 11).

For x = 4, y = 2(4)^2 + 3 = 35. So, we have the point (4, 35).

Using these points, we can sketch the graph of the function y = 2x^2 + 3 within the provided domain (-4 to 4).

The graph will be a symmetric "U" shape, opening upward, with the vertex at (0, 3).

The curve will pass through the points (-4, 35), (-2, 11), (2, 11), and (4, 35).

Here's a rough sketch of the graph:

```

      |               *

40  |              *

      |            *

35  |         *

      |      *

30  |   *

      |*

25  |

      |  

20  |  

       |        

15  |        

      |  

10  |  

     |  

 5  |  

     |  

 0  |  

     |  

    -------------------------

      -4 -3 -2 -1  0  1  2  3  4

```

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Answer:

(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

The given question can be solve using quadratic formula.

The correct option is (c) \(3x^2 +8x -10=-8\).

Given:

The given equation is,

\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)

Write the general quadratic equation.

\(ax^2 + bx +c=0\)

Write the quadratic formula.

\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)

Compare equation (1) and (2).

\(a=3\\b=8\\c=-2\)

Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.

\(3x^2 +8x -2=0\)

Subtract \(8\) from each side of above equation.

\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)

Thus, the correct option is (c) \(3x^2 +8x -10=-8\).

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Answer:

What you do is get w by itself.

4w + 9 + 5w = 9(w + 1)

9w + 9 = 9w +9

0w + 9 = 9

0 = 0

No solution is your answer.

Step-by-step explanation:

Your welcome! <3

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

V = 192 m3

Step-by-step explanation:

Answer:

what do you mean?

Step-by-step explanation:

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

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Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer: 10

Step-by-step explanation:

By the geometric mean theorem,

\(\frac{BD}{5}=\frac{20}{BD}\\\\(BD)^2 = 100\\\\BD=10\)

The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)

Since the triangles are similar, we can obtain the length of side BD as illustrated below:

CD / BD = BD / AD

20 / BD = BD / 5

Cross multiply

BD × BD = 20 × 5

BD² = 100

Take the square root of both sides

BD = √100

BD = 10

Thus, the length of side BD is 10

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Answer:

Step-by-step explanation: I got 14.4 but I might be wrong and im sorry if I am

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

3 to the power of 2 means 3 times its self that number of times 3*3 in this case so 3*2 is different.

Step-by-step explanation:

If this helped please put brainliest

Answer: the difference between three raised to the power of two and three times two

Step-by-step explanation:

three raised to the power of two means 3x3=9

three times two is six

hope i helped ya!!!!

Answer:

B.11+7=18

Step-by-step explanation:

its B because since its 7 days AFTER it means your going to have to add the 11 days plus this 7 days. Which would give you 18 days left till Susie's concert.

Answer

to solve the equation for t

You have r= t/m

So you need to rearrange the terms

r= t /m ; t = r*m

you pass the m from dividing to multiplying

t = r * m

Answer:

intereejejdjjdjdkksusubebdķķdjd

Answer:

A

Step-by-step explanation:

Credit is literally just a loan. They trust you to pay the money back

Answer:

D) 12 apples

Step-by-step explanation:

2/3 = 8 apples

1/3 = 8 apples ÷ 2

= 4 apples

3/3 = 4 apples × 3

= 12 apples

Answer:

9, 81, 144

Step-by-step explanation:

If the dimension of brick is  1×1×6 and that of box is 8×8×8 , then yes , it is  possible to pack 85 bricks in the box .

We first calculate the Volume of the box and Volume of the brick ;

The volume of one brick is calculated as 1×1×6 = 6 cubic inches,

so 85 bricks would have a total volume of = 6×85 = 510 cubic inches.

The Volume of the box is 8×8×8 = 512 cubic inches,

we get that the volume of the box is greater than volume of cube , then it is possible to fit 85 bricks of volume 510 cubic inches into a box of volume 512 cubic inches.

Therefore, it is possible to pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 .

The given question is incomplete , the complete question is

Can you pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 ? Explain how you got your answer.

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Answer:

6-5d>21 solve for d? D=<-3

Answer:

its 16

Step-by-step explanation:

rotation doesnt effect length

Answer:

Rectangles! Nice.

Step-by-step explanation:

This is a very simple problem. Let's first represent the width of the rectangle as the variable x.

Then, we know that the length of the triangle is x+2. See where I'm going with this?

The formula for the perimeter of an rectangle is \(P=2*Length+2*Width\).

All we have to do next is just input our values for the length and width, and you'll be golden!

\(56=2(x+2)+2(x)\\56=4x+4\)

Next to subtract 4 from both sides and then to divide by 4!

\(52=4x\\x=13\)

There's your answer! Don't know why Brainly is bugged right now.

NOTE: If you can't read the answer above, the width is 13cm. This also means that the length is 15cm.

Hope this helps!

Stay safe!

Answer:

1. no 2. no I think I'm not sure if this is right

There are 345 windows on the side of the apartment building. The answer is "345 windows."

Let's find the pattern of the number of windows in each column of the apartment. We need to add 3 to the number of windows in each previous column to obtain the number of windows in the next column. The table below shows the number of windows in the first five columns of the apartment. | Column | Number of Windows | | ------ | ---------------- | | 1 | 2 | | 2 | 5 | | 3 | 8 | | 4 | 11 | | 5 | 14 |

The number of windows in the sixth column is $14+3=17$. Continuing this pattern, we can find the number of windows in each column up to the fifteenth column. We know that the number of windows in the 15th column is $14+3(14)=56$. Thus, there are 15 columns with the number of windows in each column given by the arithmetic sequence $$2, 5, 8, 11, \dots, 56.$$

We want to find the sum of the terms in this sequence. The first term is $a_1=2$, the common difference is $d=3$, and the number of terms is $n=15$. We can use the formula for the sum of the first $n$ terms of an arithmetic sequence to find the total number of windows. The formula is given by $$S_n = \frac{n}{2}(2a_1 + (n-1)d).$$

Plugging in the values, we get $$S_{15} = \frac{15}{2}(2\cdot 2 + (15-1)3) = \frac{15}{2}(4+42) = \frac{15}{2}(46) = 345.$$

Therefore, there are 345 windows on the side of the apartment building. The answer is "345 windows."

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Answer:

\(0.625kg\)

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

\( \displaystyle f(t) = a {0.5}^{t/T} \)

where:

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\(\displaystyle f(420)=5\cdot{0.5}^{420/140}\)

reduce fraction:

\(\displaystyle f(420)=5\cdot{0.5}^{3}\)

By using calculator we acquire:

\(\displaystyle f(420)=0.625\)

hence, the remaining sample after 420 days is 0.625 kg