The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units

Multiplication is the process of multiplying. The product of √10 and 7√20 is 70√2.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of √10 and 7√20 can be written as,

√10 × 7√20

= √10 × 7 × √20

= 7 × √10 × √20

= 7 × √(200)

= 7 × √(5×5×2×2×2)

= 7 × 10√2

= 70√2

Hence, The product of √10 and 7√20 is 70√2.

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Answer:

Circumference is equal to pi by diameter

22/7 ×4

the answer is equal to C= π×4

Answer:

B. C=pi x 4

Step-by-step explanation:

Answer:

44/60

Step-by-step explanation:

times the top by the bottom.

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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Answer:

i)

Your answer is correct

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

DC = BC ⇒ intercepted arcs are same ⇒

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

∠DCE

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

4:96

Step-by-step explanation:

It has to be the same kind of thing so...

1 year is 12 months

8 * 12 = 96

Answer:

4 months : 8 years

reduced...

1 month : 2 years

Step-by-step explanation:

According to the given equation,

a) As we have shown that if there exist two solutions x and y in R, then they must be equal.

b) As we have shown that if there exist two solutions x and y in R, then they must be equal.

Part (a) of the problem asks us to prove that the equation a + x = b has a unique solution in R, given that a and b are elements of R. To show this, we need to demonstrate that there exists a solution x in R that satisfies the equation, and that this solution is the only one.

First, we will show that a solution x exists. We can do this by solving for x in terms of a and b: x = b - a. Since R is a ring, both a and b belong to R, and therefore b - a also belongs to R. This means that the equation a + x = b has a solution in R.

Next, we will prove that this solution is unique. Suppose there exist two solutions x and y in R such that a + x = b and a + y = b. Then, we have:

x = x + 0 (since 0 is the additive identity in R)

= x + (a + y - b) (substituting a + y - b for y, which also satisfies the equation)

= (x + a) + y - b (associativity of addition in R)

= (a + x) + y - b (commutativity of addition in R)

= b + y - b (since a + x = b)

= y (cancellation property of addition in R)

Hence, the equation a + x = b has a unique solution in R.

Part (b) of the problem deals with the equation ax = b, where R is a ring with identity and a is a unit (i.e., has a multiplicative inverse). We need to prove that this equation also has a unique solution in R.

To show that a solution exists, we can simply multiply both sides of the equation by a⁻¹, the multiplicative inverse of a in R. This gives us:

a⁻¹ax = a⁻¹b

x = a⁻¹b

Since R is a ring with identity, a⁻¹ and b both belong to R, so x also belongs to R. Hence, the equation ax = b has a solution in R.

To prove that this solution is unique, suppose there exist two solutions x and y in R such that ax = b and ay = b. Then, we have:

x = 1x (since 1 is the multiplicative identity in R)

= a⁻¹ax (multiplying both sides by a⁻¹)

= a⁻¹b (since ax = b)

= a⁻¹ay (multiplying both sides by a⁻¹)

= y (since ay = b)

Hence, the equation ax = b has a unique solution in R.

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Answer:

1331

Step-by-step explanation:

since 11 cube is 1331

plz mark as brainliest

Answer:

88

Step-by-step explanation:

Answer:

it is 88%

Step-by-step explanation:

if you convert the fraction into a decimal which is 0.88 as a decimal and then multiply that by 100 and its 88%

The output of the statement: cout << pow(2.0, pow(3.0, 1.0)) << endl; is

c. 8.0.

Given statement:

output :

The output of a computer or word processor is the information that it displays on a screen or prints on paper as a result of a particular program.

cout << pow ( 2.0 , pow ( 3.0 , 1.0 )) << endl;

= pow ( 3.0 , 1.0 )

= 3^1

= 3.0

cout << pow ( 2.0 , 3.0 ) << endl;

= pow ( 2.0 ,3.0 )

= 2.0^3.0

= 8.0

Therefore The output of the statement: cout << pow(2.0, pow(3.0, 1.0)) << endl; is  c. 8.0.

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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9514 1404 393

Answer:

  A.  201 cm³

Step-by-step explanation:

To find the volume, we need to know the length of the prism and the area of the triangular base.

We can find the area of the triangular base a couple of ways. Since we are given some angles, the convenient way will be to make use of those angles.

The triangular base is isosceles. For our purpose, we assume that means AB = BC. If we define point M as the midpoint of AC, then triangle BMC is a right triangle with a base of (9 cm/2) = 4.5 cm.

The side BC can be found from the trig relation ...

  cos(∠BCA) = CM/BC

  BC = CM/cos(∠BCA) = (4.5 cm)/cos(50°) ≈ 7.00

Then the area of the end triangle ABC is ...

  base area = (1/2)(AC)(BC)sin(50°)

  base area = (1/2)(9 cm)(7 cm)sin(50°) ≈ 24.133 cm²

__

The length CF can be found from the relation ...

  tan(40°) = EF/CF

  CF = EF/tan(40°) = (7.00 cm)/tan(40°) ≈ 8.343 cm

Then the volume of the prism is ...

  V = Bh

  V = (24.133 cm²)(8.343 cm) ≈ 201 cm³

The volume of this isosceles triangular prism is about 201 cm³.

Answer:

A. 201 cm³ is the answer.

Step-by-step explanation:

At the 0.05 significance level,

the lower limit of confidence interval is approx. 0.018 and upper limit of confidence interval is approx.0.182...

A relief fund is set up to collect donations.

first Sample size, n₁ = 200

Second sample, n₂ = 200

28% of those 200 people's who contacted by telephone , p₁-cap = 28% = 0.28

18% of the 200 who received mail requests, p₂-cap = 0.18

significance level, α = 0.05

S.E for difference between proportions

= √(p₁-cap(1-(p₁-cap))/n₁ + p₂-cap(1-(p₂-cap))/n₂)

= √0.28(1-0.28)/200 + 0.18(1-0.18)/200

= √0.28(0.72)/200 + 0.18(0.82)/200

= 0.04178 ~ 0.0418

the z-value for significance level 0.05, Zα/2 = Z₀.₀₂₅ = 1.96 (from Z-table)

Margin of error = α/2 ( S.Eₚ₁ ₋ₚ₂)

= 1.96× 0.0418 = 0.08189

CI is given by (p₁-cap - p₂-cap) +- Zα/2 ( S.E )

Lower limit = (0.28-0.18)+ 0.08189

=0.01818 ~ 0.018

Upper limit = (0.28-0.18) - 0.08189

= 0.18189~0.182

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The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

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The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

The computation shows that the correct figures will be:

5

32

3

14

1/3

a. 8 × x = 40

8x = 40

Divide both sides by 8

8x/8 = 40/8

x = 5

8 + x = 40

Substract 8 from both sides

x = 40 - 8

x = 32

21 ÷ x = 7

x = 21/7

x = 3

21 - x = 7

x = 21 - 7

x = 14

21 × x = 7

21x = 7

Divide both side by 21

21x/21 = 7/21

x = 1/3

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Answer:

- Reflected over the x-axis  

- Compressed by a factor of 0.4.

- Translated 2 units left

Step-by-step explanation:

Given

\(y = \sqrt[3]{x}\)

\(y' = -(0.4)\sqrt[3]{x-2}\)

Required

The transformation from y to y'

First, y is reflected over the x-axis.

The transformation rule is:

\((x,y) \to (x,-y)\)

So, we have:

\(y = \sqrt[3]{x}\) becomes

\(y' = -\sqrt[3]{x}\)

Next, it was compressed by a scale factor of 0.4

The rule is:

\(y' = k * y\)

Where k is the scale factor (i.e. k = 0.4)

So, we have:

\(y' = 0.4 * -\sqrt[3]{x}\)

\(y' = -(0.4)\sqrt[3]{x}\)

Lastly, the function is translated 2 units left;

The rule is:

\((x,y) \to (x-2,y)\)

So, we have:

\(y' = -(0.4)\sqrt[3]{x - 2}\)

Answers:

-reflected over the x-axis

-translated 2 units right

-compressed by a factor of 0.4

\({ \sf{the \: equation \: of \: circle}}\)

\({ \red{ \sf{ {(x - h)}^{2} + {(y - k)}^{2} = {a}^{2}}}} \)

Answer: 0

Step-by-step explanation: You isolate the variable by dividing each side by factors that don't contain the variable.

Answer: x = 0

Step-by-step explanation:

9-(6x+1) = 3x + 8

9 - 6x -1 = 3x + 8

8 -6x = 3x + 8

+6x            +6x

8 = 9x + 8

-8    -8

0 = 9x

/9 . /9

x =0

Answer:

D

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

you would first simply the fraction down

13 goes into both numbers so the fraction can be simplified to

2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be

100÷5 =20

20 x by the 2 from the fraction

= 40%

Step-by-step explanation:

65 = 100%

0.65 = 1%

26 = x%

x = (26 ÷ 0.65)%

x = 40%

\(5 \: 7 \: 7 \: 6 \: 4 \: 8 \: 17 \: 5 \: 7 \: 5 \: 6 \: 5\)

the range of the given data set.

first order the digits either from decending or ascending order, then subtract the lowest value from the biggest value.

\(4 \: 5 \: 5 \: 5 \: 5 \: 6 \: 6 \: 7 \: 7 \: 7 \: 8 \: 17\)

\(17 - 4\)

\( = 13\)

therefore, the range of the following data set is 13.

The number of nickels that Maria has is 20. 9 more nickels than dimes does she have.

What are the types of coins?

There are 4 types of coins. They are penny, nickel, dime, and quarter.

The value of a penny is 1 cent = $0.01.

The value of a nickel is 5 cents = $0.05.

The value of a dime is 10 cents = $0.10.

The value of a quarter is 25 cents = $0.25.

Given that Maria has $3. 85.

She has 7 quarters and 11 dimes.

The value of 7 quarters and 11 dimes is (7 × $0.25) + (11 × $0.10)

= $1.75 + 1.1

= $2.85

The cost of nickels is ($3.85 - 2.85) = $1 = 100 cents

The number of nickels is 100/5 = 20.

The difference between the number of nickels and dims is (20 - 11) = 9.

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Answer:

What are you asking?

Step-by-step explanation:

Answer:

y=x/3-4

Step-by-step explanation:

you get this answer by combine your x with your fraction. since this equation is belonging to system of equations you must combine the variable with your systematic equation.

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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Answer:

it is 12

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Sequence 1: 4, 12, 36, 108

Sequence 2: 20, 28, 36, 44

Hope this helps!