Simplify the following expression: 3(2x+7) *
O 6x + 7
O 6x + 10
O 6x + 21
O 5x + 10

The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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Answer

5h=15

Step-by-step explanation:

h = 7 - 4 = 3 therefore 5(3)=15

Answer:

Here's my work for it

:)

Answer:

Brewed Coffee

4

Step-by-step explanation:

Answer:

Ben's Beans drinks is the correct answer

The Law of Sines states that:

Procedure

0. Using the Law of Sines to ,find C

As we have the values of all variables but C, we isolate for it:

Replacing the values:

2. Calculating A

Then, knowing that all the interior angles of a triangle add up to 180°...

...we can isolate for A:

Replacing the values given for B and the value of C:

3. Calculating a

Now that we know A, we can find a using the Law of Sines:

Isolating for a we get:

Replacing the values:

Answer:

• C = 43.82°

• A = 102.18°

• a = 36.71

answer: The Earth's place in the galaxy was determined largely by an astronomer named Harlow Shapley.  Thanks to the regular periods of these stars and their presence in globular clusters, Shapley was able to map the distances to a number of clusters.

Step-by-step explanation:

Answer:

An astronomer Named Harlow Shapley was the one who announced where we are in space ( Earth ). How? with the help with stars brightness ( Absolute Magnitude ) whereas to how bright a stat appears to be ( magnitude ) they use that calculation to determine the distance from Earth. Harlow Shapley couldn't do this on his own as he needed help with another one's work named Henrietta Swan Leavitt. ( Who established that "Variable Stars" could determine the "astronomical distance " )

Answer:

I don't understand.............

A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).

In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;

f(x) = −x² + 2x - 15

f(x) = −2x + 2

0 = −2x + 2

2x = 2

x = 2/2

x = 1

For the maximum value of function 2, we have:

f(1) = −(1)² + 2(1) - 15

f(1) = -14

For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.

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The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Segment JK is perpendicular to segment EF having slope -3/2  i.e option (b) is correct answer.

A value known as slope can be used to define a line's direction and steepness. It is frequently represented by the letter 'm' in variable format. The gradient or rate of change of a line is another name for its slope.

When two points on a line are P(x1,y2) and Q(x2,y2), the slope formula is as follows:

Slope, m = Change in y-coordinates/Change in x-coordinates

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

Thus, using the a fore mentioned method, we can quickly determine the slope of a line connecting two points.

In other words, the increase of the line between two points (along the y-axis) over the run is referred to as the slope of a line between two points (along x-axis). Therefore,

m = Rise/Run for Slope

In terms of their slopes, lines must be perpendicular.

Let the slopes of two lines be m1 and m2.

The product of the slopes of the two lines is equal to -1 if they are perpendicular.

that is \(m_{1} m_{2} = -1\)

Slope of EF = -3/2

Therefore we can find the slope of the segment which is perpendicular to the segment EF

Put the value of slope of EF in place of \(m_{1}\)

\(m_{1}\) = -3/2

(-3/2)×\(m_{2}\) = -1

\(m_{2}\) = 2/3

As segment JK is formed by J (14,-1) and K (5,-7)

We can find the slope of it by

       m = (y2-y1)/(x2-x1)

       m = (-7+1)/(5-14)

       m = 6/9

       m = 2/3

As we got slope of JK equal to \(m_{2}\)

Therefore, Segment JK is perpendicular to the EF

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Answer:

-0.3x-10/11=3/11

Answer:

−9x+3a+7b−12

Step-by-step explanation:

Hope this helps

Hey there!

QUESTION #6.

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 =27/3

SIMPLIFY IT!
x = 27/3

x = 9

Therefore, the answer should be:

x = 9

QUESTION #7.

5x = 35

DIVIDE 5 to BOTH SIDES

5x/5 = 35/5

SIMPLIFY IT!
x = 35/5

x = 7

Therefore, the answer should be:

x = 7

QUESTION #9.
2x = 24

DIVIDE 2 to BOTH SIDES

2x/2 = 24/2

SIMPLIFY IT!

x = 24/2

x = 12

Therefore, the answer should be:

x = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

66.12 - 50.84 = -15.28

carly has -15.28$ after writing that check.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

SAS

Step-by-step explanation:

Only two sides are proven to be congruent and the angle in between the two is a corresponding angle, making them congruent.

Answer:

x and 2x+1

Step-by-step explanation:

Answer:

No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23

Step-by-step explanation:

Answer:

tan 75 =x/you is the my answer

Answer:

5 1/2- 1 2/7

11/2-9/7

(11×7-9×2)/14

59/14

4 3/14

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

1. 2/3

2. -3

3. -1/2

4. 4/3

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) \(\sqrt{\frac{pq}{n} }\)

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as  proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the  proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value  ± 1.28.

We have alpha equal to 0.2  for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) \(\sqrt{\frac{pq}{n} }\)

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 \(\sqrt{\frac{0.8*0.2}{200} }\)

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region  we reject the null hypothesis.

Answer:

7 minutes

Step-by-step explanation: