Find the value of x.

Answer:

4,000

600

160

12

Step-by-step explanation:

When using partial products, you basically break up the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,000 x 4

600 x 4

40 x 4

3 x 4

The partial products of the multiplication problems are,

4000

600

160

12

The answer will be 4,772.

The partial products of the multiplication problems are,

4000, 2400, 160 and 12

Multiplication is a method of finding the product of two or more numbers

When using partial products, you basically break the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,643 can be written as 1000+600×40+3.

Now multiply with 4.

(1000+600×40+3)×4

1,000 x 4+600 x 4+40 x 4+3 x 4

4000+2400+160+12

Hence the partial products of the multiplication problems are,

4000, 2400, 160 and 12 and The answer will be 4,772.

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Step-by-step explanation:

T = k * sqrt(d), where k is a real constant.

When d = 6, T = 5.

k = T / sqrt(d) = 5 / sqrt6.

Therefore when d = 3, T = (5 / sqrt6) * sqrt3 = 3.53.

1.

4 w------------------------->6 g

x w------------------------->24 g

Using cross multiplication:

Answer: 16 white beads

2.

Express the percentage as a decimal:

52% = 52/100 = 0.52

Multiply this result by the total number of votes:

Gillian received 130 votes

If f '(t) =20/1 + t2 f(1) = 0, f is f(x) = 20tan⁻¹(t) - 5π.

Integrals are the values of the function seen by the process of integration.

The procedure of getting f(x) from F (x) is called integration.

Given f '(t) = 20/ 1 + t2 and f(1) = 0

We know that by definition of the integral of tan⁻¹(x) = 1/1 + t2

f '(t) = 20 / 1 + t2 = 20(1/ 1 + t2)

Integrate on both sides, we get

f(t) = 20tan⁻¹(t) + c

f(1) = 0; f(1) = 20tan⁻¹(1) + c = 0

c = -20(π/4) = -5π.

Therefore, f(x) = 20tan⁻¹(t) -5π.

If f '(t) =20/1 + t2 f(1) = 0, f is f(x) = 20tan⁻¹(t) - 5π.

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The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n

where n is the number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as n

Let the equation be A

Now , the value of A is

4 is multiplied by the difference of 5 and a number is

Substituting the values in the equation , we get

A = 4 ( 5 - n )

where n is the number

On simplifying the equation , we get

The value of A = 4 ( 5 ) - 4 ( n )

The value of A = 20 - 4n

Therefore , the value of equation A is A = 20 - 4n

Hence , The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n , where n is the number

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The correct inequality for given condition is,

⇒ 40 < x < 60

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

A number greater than 40 and less than 60.

Let a number = x

So, We get;

A number greater than 40 and less than 60.

⇒ 40 < x < 60

Thus, The correct inequality for given condition is,

⇒ 40 < x < 60

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Answer:

There are significant differences among the mean tensile strengths for different temperatures.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}\).

Hₐ: There is a significant difference between the means, i.e.at least one of the mean is different.

Use MS-Excel to perform the analysis of variance.

Go to Data → Data Analysis → Anova: Single Factor.

A dialog box will open.

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-value is, 8.40458.

The p-value of the test is, 0.00139.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.00139 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Concluding that there are differences among the mean tensile strengths for different temperatures.

The required equation Chris wants is is h = 7.5a.

An equation is a mathematical expression for equation two similar terms in different form.

According to the given question Chris is studying a type of coral that grows at a constant rate.

Given at 2 years the height of the coral is 15 cm,At 4 years the height of the coral is 30 cm and at 6 years the height of the coral is 45 cm.

To find the constant rate of change we divide height by age which is

= 15/2

= 7.5.

Thus an equation can be formed by h= 7.5a where h represents height and a represents age.

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Answer: h=7.5a

Step-by-step explanation: The only reasonable answer

Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

Answer:

b

Step-by-step explanation:

The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800

The given parameters are:

Budget = $800

New bicycle = $482.62

3 bicycle reflectors = $10.84 each

Pair of a bike gloves = $24.49.

New biking outfits = $52.93each.

Let the number of new biking outfits be x So, we have;

New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget

This gives;

482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800

This gives;

539.63+ 52.93x ≤ 800

Solve the inequality;

52.93x ≤ 260.37

Divide by 52.93

x ≤  4.91

Hence, the inequality is 539.63+ 52.93x ≤ 800

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Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

A.  {(–1, 2), (0, 3), (1, 4), (2, 5)} → Non-linear function.

B. {(–3, 9), (–2, 4), (3, 9), (4, 16)} → Non-linear function.

C. y = –14x + 9 → Linear function

D.  y = x  → Linear function

A linear function has a straight line as its graph. A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

When the absolute value of the input value of the function is connected to more than 1 output value, then the function is linear else it is a non-linear function.

From the given choices;

A.  {(–1, 2), (0, 3), (1, 4), (2, 5)}

Here, the absolute value of 1 is connected to more than one point, so non-linear function.

B. {(–3, 9), (–2, 4), (3, 9), (4, 16)}

Here, the absolute value of 3 is connected to more than one point, so non-linear function.

C. y = –14x + 9 is equivalent to the slope-intercept form of linear function y = ax + b.

D.  y = x is a linear function.

Therefore, B and D are linear functions.

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Answer:

A

(highest degree of x first)

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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Answer:

2sqr3, the first option

Step-by-step explanation:

Answer:

persent i think

Step-by-step explanation:

Answer:

I suppose we start with sin³(2*x) and we want to get:

(1/2)*sin(2*x)*(1 - cos(4*x))

Here we will use the relationships:

cos²(x) + sin²(x) = 1

and

cos²(x) = (1 + cos(2x))/2

Now let's start:

sin³(2*x) = sin(2*x)*sin²(2*x)

and we can write:

sin²(2*x) = 1 - cos²(2*x)

replacing that in the above equation we get:

sin³(2*x) = sin(2*x)*sin²(2*x) = sin(2*x)*(1 - cos²(2*x))

now we can use: cos²(2*x) =  (1 + cos(2*2*x))/2

cos²(2*x) =  (1 + cos(4*x))/2

if we replace that in the equation above we get:

sin³(2*x) = sin(2*x)*(1 - cos²(2*x)) = sin(2*x)*( 1 -  (1 + cos(4*x))/2)

sin³(2*x) = sin(2*x)*( 1 -  1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*( 1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*(  1 - cos(4*x))/2

sin³(2*x) = (1/2)*sin(2*x)*(  1 - cos(4*x))

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

1007.5

Step-by-step explanation:

1007.5 because if you do the math, 15.5% of 65:

65 * 15.5% = x

x=1007.5

double check:

1007.5 / 15.5%= 65

triple check:

1007.5 / 65 = 15.5%

Answer:

-5

Step-by-step explanation: Hope this helps!! Mark me brainliest!! Have a great spring break!!!

Answer:

31. -29

33. -4

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

the answer is option (B) 84 in².

Step-by-step explanation:

The surface area of a square pyramid can be calculated by finding the sum of the areas of the four triangular faces and the base.

The area of the base is given as 36 in². Since the base is a square, we can find the length of one side of the base by taking the square root of the area:

sqrt(36 in²) = 6 in

Therefore, the length of one side of the base is 6 in.

To find the area of one of the triangular faces, we can use the formula for the area of a triangle:

Area = 1/2 * base * height

In this case, the base is equal to the length of one side of the square base, or 6 in. The height is given as 4 in.

Area = 1/2 * 6 in * 4 in = 12 in²

So the area of one triangular face is 12 in².

The total surface area of the pyramid is:

Surface area = 4 * 12 in² + 36 in² = 84 in²

Therefore, the surface area of the pyramid is 84 in².

So the answer is option (B) 84 in².

The resistance in the circuit is 11.63 ohms

Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.

The factors that affects the resistance of a conductor are;

1. temperature

2. length of the wire

3. Area of the wire

4. Nature of the wire

power = V²/R

R = V²/P

P = 1238 W

v = 120

R = 120²/1238

R = 14400/1238

R = 11.63 ohms

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Answer:

$33 and twice

Step-by-step explanation:

Answer: 15cm

Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm