A construction crane has a boom which extends 50 ft from the base. If the crane is stationed 30 ft from a building, how high up the building wall can the crane reach?

Answer:

the answer is b, c, d, a, respectively

Answers

A)534.990

B)2.679

C)88.611

D)705.149

E)7905.432

F)3.771

Any number over 5 add 1

hope this helps

Answer:

The answer is 14 :)

Step-by-step explanation:

We have,

Find the measure of ∠ x ?

∠PQR + ∠RQS = ∠PQS

⇒ 76° + x = 90°

⇒ x = 90° - 76°

⇒ x = 14°

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

The correct answer is: χ2 = 2.48, P-value is between 0.10 and 0.15.

First, let's calculate the expected frequencies for each political party affiliation in the sample:

Expected frequency for Democrats: 0.42 x 500 = 210

Expected frequency for Republicans: 0.34 x 500 = 170

Expected frequency for Independents: 0.24 x 500 = 120

Next, we can set up the chi-square test:

χ² = Σ((O - E)² / E)

Where:

O = observed frequency

E = expected frequency

Let's calculate the chi-square test statistic:

χ² = ((200-210)² / 210) + ((187-170)² / 170) + ((113-120)² / 120)

Calculating the above expression gives us:

χ² = (10² / 210) + (17² / 170) + (7² / 120)

χ^2 = 100/210 + 289/170 + 49/120

χ^2 ≈ 0.476 + 1.700 + 0.408

χ^2 ≈ 2.584

The calculated chi-square test statistic is 2.584.

Since we have 3 political party affiliations, the degrees of freedom would be 3 - 1 = 2.

Looking at the chi-square distribution table with 2 degrees of freedom, we find that the P-value for a chi-square test statistic of 2.584 is between 0.10 and 0.15.

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Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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Answer:

30

Step-by-step explanation:

In mathematics, the order of operations (PEMDAS) is a way to solve a given mathematical expression. This gives rules on which task should be performed first.

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

To solve the given equation:

First, we need to solve what is in the parenthesis.

Now, the expression looks like this:

Therefore, - 6 • (-5² + 20) = 30.

Answer:

30

Step-by-step explanation:

The expression to evaluate is:

-6 • (-5² + 20)

Using the order of operations, we should first simplify any expressions inside parentheses, then perform any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

Following the order of operations, we need to simplify the expression inside the parentheses first:

-6 • (-5² + 20)

= -6 • (-25 + 20) (Exponent: -5² = (5) • (5) = -25)

= -6 • (-5)

= 30

Therefore, the expression evaluates to 30.

If we ignore the order of operations and perform the operations in a different order, we would get a different result. For example, if we perform the multiplication first, we get:

-6 • (-5² + 20) = -6 • (-25 + 20) = -6 • -5 = -30

which is the correct answer.

However, if we perform the exponent first and ignore the parentheses, we get:

-6 • (-5² + 20) = -6 • (-25 + 20) = -6 • -5 = 30

which is also the correct answer.

Therefore, it is important to follow the order of operations to get the correct result and avoid any confusion or mistakes.

Answer: B ,I just completed the assignment

AB=CD is not always true. Therefore, option B is the correct answer.

From the given construction, we need to find which conclusion is not always true.

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.

Here, AB⊥CD.

Since CD is the perpendicular bisector of AB.

AE=EB and CE=DE

AB=CD is not always true. Therefore, option B is the correct answer.

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Answer:

Yes

Step-by-step explanation:

(I can only read the graph).

Since for each dot, a vertical line drawn through it only intersects that dot, we conclude that the relation is a function.

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

The numeric values for the function are given as follows:

a) f(-5) = 14.

b) f(0) = 10.

c) f(5/2) = 8.

d) f(5a) = -4a + 10.

e) f(5a - 15) = -4a + 22.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is given by:

f(x) = -0.8x + 10.

Hence the numeric values are given as follows:

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Answer:

8/15 is your answer

Step-by-step explanation:

Answer:

169 sections

Step-by-step explanation:

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces

The area of the 0.5×5 square foot pieces

Area= 0.5*5.

Area= 2.5 square feet

They have 422 square feet of floor on which to install the hardwood.

Number of sections to be purchased

= 422/2.5

= 168.8 sections

Approximately= 169 sections

Answer:

1÷13×2+181÷29383÷2×2=​ 0.16000617835

Answer:

the answer is 337

Step-by-step explanation:

-5 + 280 + 62

= 337

Answer:

337

Step-by-step explanation:

-5 plus 280 is 275

275 + 62 is...

337

Simon's monthly payments are $22.40.

      S.I. = P × R × T, where

P = Principal

R = Rate of Interest per annum

T = Time, calculated as the number of years.

The interest rate is expressed as r/100 and is expressed as a percentage or r%.

Given:

interest rate(r) = 8% = 0.08

time of the loan(t) = 18 months = 1.5 years

(Here we modify the time to years because the interest rate is per year.)

Down payment made by Simon = 20% of  $450

                                                     = $ (20/100 × 450 )

                                                     = $90

So he had to finance the remainder,

P = $450 - $90

  = $360

Next, we find the interest

Interest = P×r×t

            = $360 × 0.8 × 1.5

            = $43.20

Amount Simon has to pay back over the life of the loan is the sum,

A = P + I

  =$360.00 + $43.20

  =$403.20

Number of payments Simon will make is N=18, so his monthly payment will be:

p = A/N

  = $403.20/18

  = $22.40

Therefore, his monthly payments are $22.40.

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Answer:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Step-by-step explanation:

For this case we know that the currently mean is 2.8 and is given by:

\( \bar X = \frac{\sum_{i=1}^n w_i *X_i }{24} = 2.8\)

Where \( w_i\) represent the number of credits and \(X_i\) the grade for each subject. From this case we can find the following sum:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Answer: 47 17/18

Step-by-step explanation:

48 + 1/9 (-1/2)

48 - 1/18 = 47 17/18

Answer:

-5

Step-by-step explanation:

15-20

Answer:

-5

Step-by-step explanation:

15-20=-5

integer means whole number

Answer:

d

Step-by-step explanation:

40% = 40/100

40/100 X = 8

X = 800/40 = 20

X% of 40 = 20/100*40 = 8

If 40percent  of x is 8, then x% of 40 is 8. Option D is the correct answer.

Percentage is a way of expressing a portion or a part of a whole as a fraction of 100. It is commonly used to compare quantities, make comparisons, and analyze data. The symbol "%" is used to represent a percentage. Option D is the correct answer.

To find x% of 40, we need to first determine the value of x.

We are given that 40% of x is 8. This can be expressed mathematically as: 0.4 × x = 8

To solve for x, we divide both sides of the equation by 0.4:

x = 8 ÷ 0.4

Simplifying the right side gives us: x = 20

Now that we know x is 20, we can calculate x% of 40.

To do this, we multiply x% (20%) by 40: (20÷100) × 40 = 8

Therefore, x% of 40 is 8.

So, the correct answer is (D) 8.

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The percentile corresponding to a radiation level of 1.35 W/kg is 6%.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the percentile corresponding to a radiation level of 1.35 W/kg, we need to determine what percentage of cell phones in the sample have a radiation level less than or equal to 1.35 W/kg.

Assuming we have access to the data set containing the radiation levels of 50 different cell phones, we can proceed with the following steps:

Sort the data set in ascending order.

Determine the rank of the observation that corresponds to 1.35 W/kg. This can be done using the following formula:

rank = (percentile / 100) * n

where n is the total number of observations in the data set, and percentile is the percentile we want to find, which in this case is the percentile corresponding to 1.35 W/kg.

Round the rank value up to the nearest integer to get the position of the observation in the sorted data set.

Calculate the percentile using the following formula:

percentile = (number of observations below the given value / n) * 100

where n is the total number of observations in the data set, and number of observations below the given value is the rank we obtained in step 2.

For example, if we have the following radiation levels for 50 cell phones:

1.20, 1.25, 1.30, 1.32, 1.35, 1.40, ...

We can see that the observation corresponding to 1.35 W/kg is the 4th observation in the sorted data set. Therefore, its rank is:

rank = (percentile / 100) * n = (4 / 50) * 100 = 8

Rounding up to the nearest integer, we get rank = 8.

To calculate the percentile, we need to determine how many observations in the data set are below the 4th observation. In this case, there are 3 observations below 1.35 W/kg. Therefore, the percentile corresponding to a radiation level of 1.35 W/kg is:

percentile = (number of observations below the given value / n) * 100

= (3 / 50) * 100

= 6%

Therefore,  the percentile corresponding to a radiation level of 1.35 W/kg is 6%

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The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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the empire state building weighs 7.3 x 10^8 pounds

The one world trade centre building weighs about 88200, 000 pounds or 0.8 x 10^8 pounds

sum up the weighs

7.3 x 10^8 + 0.8 x 10^8

8.1 x 10^8

so the value of a is 8.1 and the value of b is 8.

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

The new mixture contains 34% peanuts. The correct option is A

The idea of weighted averages can be applied.

First, let's determine the mixture's entire weight:

Total weight = 4 kg + 12 kg = 16 kg

We can now calculate how many peanuts there are overall in the mixture:

Total weight in kilograms is =  (4 kg) (0.16) + (12 kg) (0.40)

= 0.64 kg + 4.80 kg

= 5.44 kg.

Finally, we can find the percentage of peanuts in the mixture:

Percent of peanuts = (Total amount of peanuts / Total weight) x 100%

= (5.44 kg / 16 kg) x 100

   = 34%

Therefore, the new mixture contains 34% peanuts, which is option A.

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Calculate the line equation

Please mark as brainliest

Answer:

1. HP and MN

2. HM and PN

Step-by-step explanation:

The parallel sides are the ones that do not touch.

HP and MN don't touch.

HM and PN also don't touch.