A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m long?

Answer:

1.7 x 10-13 is 4 and 3.5 x 1025 is 3587.5

Step-by-step explanation:

For the first problem, multiply 1.7 by 10 and then subtract by 13, and you get 4. For the second, just multiply as normal.

(1.7)(10)−(13)(3.5)(1025)

=17−(13)(3.5)(1025)

=17−(45.5)(1025)

=17−46637.5

=−46620.5

=−46620.5

Answer:

The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)

Step-by-step explanation:

4x + 2y = 6 ....… (1)

x − y = 3 …..... (2)

Example, for equation 2 is:

x - y = 3

x = 3 + y

Put in equation 1:

4(y + 3) + 2y = 6

4y + 12 + 2y = 6

6y = -6

y = -6/6

y = -1

We have the value of y, then the value of x will be:

x = 3 + y

= 3 + (-1)

= 3 - 1

= 2

So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)

Answer:

97 miles apart

Step-by-step explanation:

We can use the Pythagorean Theorem to find the distance between Harry and Selma, which their respective distances from the same starting location become the legs of a right triangle. We find the distance between Harry and Selma by solving for the hypotenuse:

\(a^2+b^2=c^2\)

\(65^2+72^2=c^2\)

\(4225+5184=c^2\)

\(9409=c^2\)

\(\pm97=c\)

\(c=\pm97\)

Because distance is always positive, then the distance between Harry and Selma when they stop is 97 miles.

Answer:

25

Step-by-step explanation:

put -5 from x so (-(-5))²=25

Solution:

For each occurence of x in f(x) substitute 4 and clculate the result

f(x)=-x^2+5 becomes

f(4)=-(4)^2+5

f(4)=-16+5

f(4)=-11

Answer:

q1 3 x ^2 − 5 x + 10

q2 1 − y^ 4

q3 exact form: x = − 5 /6

decimal form : 0.83r

q4 1 /2 z^ 2 + 1

Step-by-step explanation:

hope it correct please mark as brainliest if correct

thank you

Answer:

The value of p(-a) must be 0

There is an x intercept of the function at (-a,0)

Step-by-step explanation:

(x + a) is a factor of a function p(x)

that means, that p(x) must have an x-intercept at the point x = -a

This can be written in two different ways,

If (x + a) is a factor of a polynomial function, p(x), then the two statements that are true are:

A factor of a polynomial function is a binomial that, when multiplied by another polynomial, gives the original polynomial function. If (x + a) is a factor of p(x), then p(x) can be written as (x + a)q(x), where q(x) is another polynomial function.

According to the Factor Theorem, if (x + a) is a factor of p(x), then p(a) = 0. This means that the value of the polynomial function at x = a is 0.

Additionally, if p(a) = 0, then there is an z-intercept of the function at (a,0). This is because the z-intercept is the point where the function crosses the z-axis, and this occurs when the value of the function is 0.

Therefore, the two statements that are true are "The value of p(a) must be 0" and "There is an z-intercept of the function at (a,0)".

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The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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Answer:

m = 55

p=45

n = 135

Step-by-step explanation:

180 - 55 - 80 = 45

p = 45

55 = m

because ED and BC are parallel lines

80 + 55 = n

n = 135

The answer to the measure include the following:

This is referred to a polygon which consists of three edges and three vertices.

m=55 (alternate angle)

The sum of angles in a triangle is 180

Therefore 180 - 55 - 80 = 45

p = 45

Since 55 = m

ED and BC are parallel lines therefore:

80 + 55 = n

n = 135

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

False. Regression lines are not a collection of mean values of y for different values of x. They represent the best-fit line that minimizes the sum of the squared differences between the observed y-values and the predicted y-values.

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The integral of tan (1/x) is \(\int tan(1/x) dx = -cot(1/x) + C\) where C is the constant of integration.

The integral of tan(1/x) can be computed by applying the substitution u = 1/x, which leads to:

\(\int tan(1/x) dx = \int tan(u)/u^2 du\)

This integral can be evaluated using integration by parts, where we let \(dv = 1/u^2 du\)  and u = tan(u) du. This gives:

\(\int tan(u)/u^2 du = -cot(u) + \int csc^2(u) du\)

Substituting back u = 1/x and simplifying, we obtain:

\(\int tan(1/x) dx = -cot(1/x) + C\)

where C is the constant of integration.

Note that the function cot(1/x) also has an infinite number of vertical asymptotes near x = 0, so this expression represents a continuous antiderivative only on intervals that do not contain 0.

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x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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Answer:

20 people participated in the survey.

Answer:

The particle traveled 4 inches over the interval.

Step-by-step explanation:

What distance does the particle travel over the interval 0 ≤ t ≤ 1?

The distance is the integral of the velocity.

So

\(d(t) = \int_{0}^{1} v(t) dt\)

\(d(t) = \int_{0}^{1} 4t^3 + 3t^2 + 2t + 1 dt\)

We have that:

\(\int t^n dn = \frac{t^{n+1}}{n+1}\)

So

\(d(t) = t^4 + t^3 + t^2 + t|_{0}^{1}\)

Which is:

\(d(1) - d(0) = 1 + 1 + 1 + 1 = 4\)

The particle traveled 4 inches over the interval.

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

The triangle with given vertices is not an isosceles triangle.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Let a triangle with vertices be A(-1 ,7), B(5, 5) and C(-2 ,1).

Using the coordinates A(-1, 7) and B(5, 5), we get

AB =√(5-7)²+(5+1)²

AB=√40

AB=2√10 units

Using the coordinates B(5, 5) and C(-2 ,1) we get

BC=√(-2-5)²+(1-5)²

BC=√65 units

Using the coordinates C(-2 ,1) and A(-1 ,7) we get

BC=√(-1+1)²+(7-1)²

BC= 6 units

Therefore, the triangle with given vertices is not an isosceles triangle.

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The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.

An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.

The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.

Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.

We have to calculate the cost to fill the drum with oil.

Since formula to get the volume of the drum is V = πr²h

V = 3.14×(1.2)²×4 = 18.09 feet³

Now the cost of oil to fill the drum will be

Cost = Volume × cost = 18.09×22 = $397.90

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Answer:

Step-by-step explanation:

The congruence theorems or postulates that could be given as reasons why triangles ABC and LMN are congruent are: LL, HL and SAS

From the figure, we can see that the hypotenuse of both triangles are congruent; this represents the HL theorem

Also, the acute legs of both triangles are congruent;

This represents the LL theorem

One angle is between two congruent sides in both triangles.

This represents the SAS theorem

Hence, the congruence theorems or postulates that could be used are: LL, HL and SAS

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a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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Answer:

I think you're supposed to add all the fives together. That is what MY teacher taught me to do :/

Step-by-step explanation:

The shape is a square that is tilted and looks like a rhombus. Just add the 5's together.

Answer for a is, The rate of markup on cost is 22.22%.

Answer for b is, The rate of markup on selling price is 18.18%.

a. To calculate the rate of markup on cost, we use the formula: Markup on Cost = ((Selling Price - Cost Price) / Cost Price) * 100. In this case, the cost price is $270.50 and the selling price is $330.00. Substituting these values into the formula, we get ((330.00 - 270.50) / 270.50) * 100 = 22.22%.

b. To calculate the rate of markup on selling price, we use the formula: Markup on Selling Price = ((Selling Price - Cost Price) / Selling Price) * 100. Using the same values as before, ((330.00 - 270.50) / 330.00) * 100 = 18.18%.

The rate of markup on cost is 22.22%, indicating that the selling price is 22.22% higher than the cost price. The rate of markup on selling price is 18.18%, indicating that the markup represents 18.18% of the selling price.

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2(4/3) represents the shaded area in the diagram as two rectangles of equal size, each with a length of 4 units and a width of 2/3 units.

4 * 2/3 represents the shaded area in the diagram as a rectangle with a length of 4 units and a width of 2/3 units.

4 * 2 * 1/3 represents the shaded area in the diagram as a rectangle with a length of 4 units, a width of 2 units, and a smaller rectangle with a length of 1 unit and a width of 1/3 units.

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

a. The diagram shows 3/5 by dividing the whole rectangle into 5 equal parts horizontally and shading 3 of those parts. This means that the shaded portion represents 3 out of 5 equal parts.

b. The diagram shows 3 * 1/5 by shading one-fifth of the rectangle, and then repeating this process three times. This means that the shaded portion represents three times one-fifth of the whole.

c. The value of 3/5 is equivalent to 0.6 or 60%. This means that if we divide a whole into 5 equal parts, and take 3 of those parts, we have 60% of the whole.

a. The expression 2(4/3) represents the shaded parts of the diagram by first finding the area of one shaded rectangle, which is 4/3. Then, we multiply this area by 2 because there are two shaded rectangles in the diagram. Therefore, 2(4/3) gives us the total shaded area.

b. The expression 4 * 2/3 represents the shaded parts of the diagram by multiplying the width of the shaded rectangle (2 units) by its height (2/3 units), and then multiplying that by the number of shaded rectangles (4). Therefore, 4 * 2/3 gives us the total shaded area.

c. The expression 4 * 2 * 1/3 represents the shaded parts of the diagram by multiplying the length of the shaded rectangle (4 units) by its width (2 units) by its height (1/3 units), and then multiplying that by the number of shaded rectangles (4). Therefore, 4 * 2 * 1/3 gives us the total shaded area.

Hence, 2(4/3) represents the shaded area in the diagram as two rectangles of equal size, each with a length of 4 units and a width of 2/3 units.

4 * 2/3 represents the shaded area in the diagram as a rectangle with a length of 4 units and a width of 2/3 units.

4 * 2 * 1/3 represents the shaded area in the diagram as a rectangle with a length of 4 units, a width of 2 units, and a smaller rectangle with a length of 1 unit and a width of 1/3 units.

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The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

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Answer: 2.2464 × 10^8

Step-by-step explanation:

Percentage of obese Americans in 2011 - 2012 = 35%

Percentage of Americans who are adult = 72%

United States population estimate = 312 million

Adult = age 20 and above

Number of adult Americans (age 20 and above) :

72% of the total united states estimated population

72% of 312,000,000

72/100 × 312,000,000

0.72 × 312,000,000

= 224,640,000

Hence, estimated Adult American population (age 20 and above) = 224,640,000

2.2464 × 10^8

Answer:

Assuming you meant division.

26 R16

Step-by-step explanation:

\(Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16\)

➲ Hope this helps.

Answer:

26 R16

Step-by-step explanation:

Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying.

Given the relationship between multiplication and factoring

Therefore, Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying.

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{Question in english -

What is the relationship between multiplication and factoring?}

Answer:

1. 12 bottles would cost $24.

2. The ratio is 1:2,  1 bottle to $2.

3. For each additional bottle of water I purchase, the price will go up by $2.

May I have brainliest please? :)

Answer:

40

Step-by-step explanation:

f(x) = 3x2 – 2x

f(-4) = 3(-4)² - 2(-4)

= 3(16) - 8

= 48 - 8

= 40