For which intervals is the function increasing?
Select each correct answer.

To evaluate the expression a • b for a = 5 and b = 8, you multiply the values of a and b. So, a • b = 5 • 8 = 40.

The question is asking to evaluate the expression a • b where a = 5 and b = 8. The dot (•) in the expression a • b signifies multiplication in mathematics. To evaluate this expression for a = 5 and b = 8, you simply multiply the given values of a and b. So, the calculation is 5 × 8.

Therefore, a • b = 5 • 8 = 40 when a = 5 and b = 8.

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The dot product of vectors a = 5 and b = 8 is calculated by multiplying the corresponding components of each vector and summing the results. Therefore, a • b = (5 * 8) = 40.

Evaluating the Dot Product of a and b

Given: a = 5 and b = 8

Objective: Determine the dot product of vectors a and b, denoted as a • b.

Steps:

Express the dot product formula: The dot product of two vectors a and b is defined as:

a • b = ∑(aᵢ * bᵢ)

where:

aᵢ and bᵢ represent the i-th components of vectors a and b, respectively

the summation sign (∑) indicates that the product of corresponding components is calculated for each dimension and then summed

Substitute the given values: Substituting the values of a and b into the formula:

a • b = (5 * 8)

Calculate the product: Performing the multiplication:

a • b = 40

Answer:

The dot product of vectors a and b, denoted as a • b, is equal to 40.

Answer:

B 6x - 4y = 2

Step-by-step explanation:

Stand form of a linear equation is

Ax + By =C

8 - 4(x-y) = 2x+6

Distribute the -4

8 -4x +4y = 2x+6

Subtract 2x from each side

8 -4x-2x +4y = 2x-2x+6

8 -6x +4y = 6

Subtract 8 from each side

8-8-6x+4y = 6-8

-6x+4y = -2

We like to have x with a positive coefficient

Multiply by -1

6x -4y = 2

Answer:

The answer is -2/3.

Answer:~ 967

Step-by-step explanation:

80% of the number 64 is 51.2

Answer:   a) -240

Step-by-step explanation:

[tex]2\sqrt{-32}\cdot 5\sqrt{-18}\\\\=2\cdot 5\sqrt{-32\cdot -18}\\\\=10\sqrt{-1\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot -1\cdot 2\cdot 3\cdot 3}\\\\\\=10(-1\cdot 2\cdot 2\cdot 2\cdot 3)\\\\=10(-24)\\\\=\boxed{-240}[/tex]

100%-15%=85% -- 0.85

A. doesn't work because it is increasing

B. works because your finding 85 percent since you decrease by 15 percent

C. doesn't work because you are not taking 15 percent from value of t

D. doesn't work because finging 15 percent of t and them subtracting from one won't give you the right answer

E.doesnt work because all you have to do is find 85 percent not subtract that from the original value

F.works because subtracting 15 percent from one and multiply by t would give the equation from B

So the answers are B and F

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=\frac{25\pi }{3} \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta[/tex]

Answer:

30

Step-by-step explanation:

The possible outcomes of tossing a coin 4 times with 2 or 3 heads can be represented using a tree diagram.

The possible outcomes of tossing a coin 4 times can be represented using a tree diagram. Each toss has 2 possible outcomes, either a head (H) or a tail (T). Starting with the first toss, there are 2 branches representing each possible outcome. For the second toss, each branch splits into 2 more branches representing the possible outcomes of the second toss, and so on. To find the outcomes with 2 or 3 heads, we need to count the paths on the tree diagram where there are 2 or 3 branches labeled as heads (H).

Let's label the paths as follows:

Y: HHTT
Z: HTHT
W: HTTH
X: TTHH

These are the possible outcomes with 2 or 3 heads. Therefore, the answer is option B. Z.

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Answer:

false

Step-by-step explanation:

Answer:

94.97.

Step-by-step explanation:

Answer:

8 square inches

Step-by-step explanation:

The area is the number of square inches a shape covers. To find the area of a triangle use the formula A = 1/2 b*h. Here b = 4 and h = 4.

So the area is A = 1/2 4*4 = 8 square inches  

Answer:

18π in²

Step-by-step explanation:

We need to find the circumference of the edge of the cylinder.  The formula for circumference is C = 2πr, where r is the radius.

Here, the circumference is 2π(3 in) = 6π in.

To find the surface area covered by the label, multiply this circumference by the can height, 3 in:

V = (6π in)(3 in) = 18π in²

Approximately 18.85 square inches of paper is used for the label that covers the Lateral surface area of the soup can.

Let's find the amount of paper used for the label that covers the lateral (side) surface area of the soup can, you can calculate the lateral surface area of the cylinder.

The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

π (pi) is approximately 3.14159

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius (r) of the soup can is 1 inch, and the height (h) is 3 inches. Plug these values into the formula:

Lateral Surface Area = 2π(1 inch)(3 inches)

Lateral Surface Area = 2π(3 square inches)

Lateral Surface Area = 6π square inches

Now, you can calculate the approximate value:

Lateral Surface Area ≈ [tex]6 \times 3.14159[/tex] square inches

Lateral Surface Area ≈ 18.84954 square inches

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Answer:

[tex]\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}[/tex]

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

AD = 2, CD = X, DB = 6.

Substitute:

[tex]\dfrac{2}{X}=\dfrac{X}{6}[/tex]             cross multiply

[tex]X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}[/tex]

[tex]\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]

Answer:

Caleb arrived first 2 hours before Alyssa

Step-by-step explanation:

To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.

Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.

Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.

Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.

He arrived in 210/42 = 5 hours.

Alyssa arrived in 210/30 = 7 hours.

He arrived 2 hours before her.

Answer: B) Banana

Step-by-step explanation:

Add the amount of people who voted for each fruit to get the total amount of people. 35+30+15+25+40+5 = 150.

Now, just find 10% of 150 by multiplying 150 by .10

10% of 150 is 15, 15 people that were surveyed chose banana. :)

The Banana fruit represents 10% of the fruit for the people surveyed.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The data presented in the bar graph.

There are total 150 fruits for the people surveyed.

To find the percent:

Use the percentage formula,

10% of 150,

= 15

Therefore, the fruit is Banana.

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Answer:

The inverse function is a) h(x) = 1/2x - 1/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x + 1

x = 2f(x) + 1

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) + 1

x - 1 = 2f(x)

(x - 1)/2 = f(x)

h(x) = 1/2x - 1/2

The inverse of the function f(x)=2x+1 is found by switching x and y in the function to create a new equation, rearranging that equation to solve for y, resulting in the inverse f^-1(x)=(x-1)/2.

To find the inverse of the function f(x)=2x+1, you first switch the roles of x and y in the function.

So, the inverse of the function is f^-1(x)=(x-1)/2.

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Answer: her price is 70%

Step-by-step explanation:

➷ Use the multiplier version:

40% ==> 0.4

Multiply it by the multiplier:

55 x 0.4 = 22

The answer is 22.

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Answer:

C

Step-by-step explanation:

Since it is greater than or equal to, the graph line is a solid line.

Then, since we know that it is greater than, we know that we can shade above the graph line.

To check this, all you have to do is choose a random point in the shaded region and plug it in the equation. If it checks out, it is correct.

Answer:

Graph represented by option C is the correct choice.

Step-by-step explanation:

We are asked to graph an inequality [tex]y\geq2x-3[/tex].

The boundary line of our given inequality will be a solid line as we have greater than or equal to [tex]\geq[/tex] sign.

The boundary line of our given inequality would be [tex]y=2x-3[/tex].

Now, we will test point (0,0) to shade in the correct region as:

[tex]0\geq2(0)-3[/tex]

[tex]0\geq0-3[/tex]

[tex]0\geq-3[/tex]

Since the point (0,0) is a solution for our given inequality, therefore, the shaded area of our inequality will include point (0,0).

Please find the attachment.

Answer:

Step-by-step explanation:5.6 times 10.5=58.8sq miles, divide by 2 because it is half, so 29.4 is the approximate of area thing

Answer:

The answer is 29.4 miles squared.

Answer:

That's right!

Step-by-step explanation:

All of the points are in the right places! :P

Answer:

All four points are in the right place.

Step-by-step explanation:

Here's what you need to check.

The coordinate of each point is a set of two number in a round bracket.

Taking point A (9, 7) as an example.

Repeat these steps for the rest of the four points. See if every single point is in their place.

➷ Divide the total weight of sugar by the number of boxes:

23.18 / 57 = 0.406666

There would be approximately 0.407 pounds of sugar per box

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➶ Have A Great Day ^-^

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Answer:

23.18 / 57 = 0.406666

0.407 (to 3 decimal places) pounds of sugar per box

Step-by-step explanation:

the answer to Y/8=5 Y=40

Answer:

y=40

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

any thing with a 0 over it is equal to 1

5*1=5 the answer is five. Hope That helped will appreciate a Brainly

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

   -8          -8

n* -4= 12

   /-4   /-4

n= -11

Based on the calculations, the unknown number (n) is equal to -11.

In this exercise, you're required to find an unknown number (n). Thus, we would translate the word problem into an algebraic expression as follows:

The sum of a number (n) and 8:

n + 8

Multiplying by -4, we have:

(n + 8) × -4 = 12

-4n - 32 = 12

-4n = 12 + 32

-4n = 44

n = -11.

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Answer:

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Step-by-step explanation:

we know that

The parent function of the graph is equal to

[tex]f(x)=\sqrt[3]{-x}[/tex]

The rule of the translation is equal to

[tex](x,y)-----> (x+2,y)[/tex]

The translation is 2 units to the right

so

applying the transformation

f(x)------> p(x)

The function of the graph is equal to

[tex]p(x)=\sqrt[3]{-(x-2)}[/tex]

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Its dollar per square foot

The unit for the coefficient 'k' in the equation 'C= kiw', given that 'C' is the cost in dollars and 'i' and 'w' are the dimensions of the home in an area-unit such as feet or meters, should be dollars per square foot or dollars per square meter.

The question is asking to find the unit for the coefficient k in the equation 'C= kiw' where 'C' represents the cost of a single-story home, 'i' is the length of the home, and 'w' is the width of the home. In this equation, the cost 'C' is in dollars, and the length 'i' and width 'w' are likely in feet or meters (units of length).

Therefore, the coefficient 'k' must have the units that make the equation dimensionally consistent. In other words, the units of 'k' must be such that when multiplied by area ('iw' is an area), the result is cost. So, the unit for 'k' in this context would be dollars per square foot or dollars per square meter, depending on the units used for 'i' and 'w'.

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Answer:

Astronomers

Step-by-step explanation:

Answer:

astronomers

Step-by-step explanation:

Answer:

90 cm^2

Step-by-step explanation:

The scale factor between triangle ABC and triangle PQR is 4:6 or  2:3

The scale factor is 2/3

When relating areas, we use the scale factor squared

Area of ABC = scale factor squared * Area of PQR

40 =  (2/3) ^2 Area of PQR

40  =4/9 Area of PQR

Multiply each side by 9/4

40 *9/4 = 9/4 *4/9 * Area of PQR

90 = Area of PQR

When we work with lengths of similar figures, we multiply by the scale factor.

When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.

A = l*w

A = SF (l) * SF (w)

  = SF ^2 lw

So the area of the new  figure is the scale factor squared times the area of the old figure.

A new = SF^2 A old

To get from the old figure to the new figure we multiply by 6/4 or 3/2

A new =  (3/2)^2 (40)

A new = 9/4 * 40

           = 90