What percent of 90 is 54?

Answer:

RS = 18 units

Step-by-step explanation:

the 2 red strokes through RM and MS indicate they are congruent, that is

RM = MS = 9 , then

RS = RM + MS = 9 + 9 = 18 units

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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On evaluating the exponents it is obtained that -

Goat hair is about 0.02 times as thick as human hair.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To find how many times thicker the goat hair is compared to the human hair, we can divide the thickness of goat hair by the thickness of human hair.

Divide the given exponent values -

\(\frac{1 \times 10^4}{5 \times 10^5}\) meters

To simplify this fraction, we can divide both the numerator and denominator by \(5 \times 10^4\) -

\(\frac{\frac{1 \times 10^4}{5 \times 10^4} }{\frac{5 \times 10^5}{5 \times 10^4} }\)

which equals -

1 / 50

In other words, goat hair is about 1 / 50 times as thick as human hair.

We can also express this in standard form without using exponents -

1/50 = 0.02

Therefore, the thickness value is about 0.02 meters.

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Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

The average temperature on Saturday was 62.6 °F, then the actual temperature will be equal to 17 °C.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The temperature on Saturday was 62.6 F

Then, the actual temperature will be,

C = 5/9(F -32)

C = 5/9(62.6 - 32)

C = 5/9(30.6)

= 17 °C

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As Andre started with $15 and deposits $5 per week, the equation for Andre's savings can be expressed as: y = 5x + 15.

To write the equation for Andre's financial savings, we are able to use the records that he began with $15 and deposits $five in step with week. Let's denote the quantity of weeks as x and Andre's financial savings as y.

Since he deposits $five in step with week, the equation for Andre's savings can be expressed as:

y = 5x + 15

Now, allow's graph Andre's financial savings equation along Noah's equation, y = 7.5x + 2.Five, to see their financial savings over the years.

Regarding the intersection factor of the 2 graphs, it represents the week(s) when Andre and Noah will have the same quantity of financial savings. In other words, it's the point in which their savings grow to be same.

Thus, by locating the x-coordinate of the intersection point, we can decide the range of weeks it's going to take for Andre and Noah to have the same amount saved.

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Your question seems incomplete, the probable complete question is:

Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.

Write the equation for Andre's savings and graph it alongside Noah's. What does the intersection point mean in this situation?

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

John is 15 years old, and his age is 3 more than 5 times his brother's age

The equation is given as:

\(\mathbf{5p + 3 = 15}\)

This means that:

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The equation 5p + 3 = 15 can be used to find Mgbafor's age when  Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.

The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.

Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.

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Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \(\pi r^2h\), where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

Step 2: Simplify.

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Step-by-step explanation:

3). By sine rule,

    sin(64°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

    sin(64°) = \(\frac{x}{15}\)

    x = 15[sin(64°)]

    x = 13.48

4). By tangent rule,

    tan(29°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

                  = \(\frac{x}{35}\)

    x = 35[tan(29°)]

    x = 19.4

5). By cosine rule,

    cos(41°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

                  = \(\frac{x}{22}\)

    x = 22[cos(41°)]

    x = 16.60

Answer:Answer C) 7

Step-by-step explanation:

M= -14-20+32

-34 + 32

M=-2

N= 19-32+22

N = 19-10

N = 9

M + N = -2+9

M+N = 7

Answer c

The rate of the boat in still water is 27.428571428571427 miles per hour and the rate of the current is 3.4285714285714284 miles per hour.

Let's call the rate of the boat in still water "r" and the rate of the current "c". Then the rate of the boat traveling upstream is "r - c" and the rate of the boat traveling downstream is "r + c".

We can use the following formula to calculate the rate of the boat in still water: r = (distance traveled upstream + distance traveled downstream) / (total time taken)

distance traveled upstream = 96 miles

distance traveled downstream = 96 miles

total time taken = 4 hours + 3 hours = 7 hours

r = (96 + 96) / 7 = 192 / 7 = 27.428571428571427 miles per hour

Next, we can use the formula for the rate of the boat traveling upstream to calculate the rate of the current:

96 = (r - c) * 4

96 = 4r - 4c

4c = 4r - 96

c = r - 24

Substituting the value of r that we found earlier, we get:

c = 27.428571428571427 - 24 = 3.4285714285714284 miles per hour

Therefore, the rate of the boat in still water is 27.428571428571427 miles per hour and the rate of the current is 3.4285714285714284 miles per hour.

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The rate of the boat in still water is 27.428571428571427 miles per hour and the rate of the current is 3.4285714285714284 miles per hour.

Let's call the rate of the boat in still water "r" and the rate of the current "c". Then the rate of the boat traveling upstream is "r - c" and the rate of the boat traveling downstream is "r + c".

We can use the following formula to calculate the rate of the boat in still water: r = (distance traveled upstream + distance traveled downstream) / (total time taken)

distance traveled upstream = 96 miles

distance traveled downstream = 96 miles

total time taken = 4 hours + 3 hours = 7 hours

r = (96 + 96) / 7 = 192 / 7 = 27.428571428571427 miles per hour

Next, we can use the formula for the rate of the boat traveling upstream to calculate the rate of the current:

96 = (r - c) * 4

96 = 4r - 4c

4c = 4r - 96

c = r - 24

Substituting the value of r that we found earlier, we get:

c = 27.428571428571427 - 24 = 3.4285714285714284 miles per hour

Therefore, the rate of the boat in still water is 27.428571428571427 miles per hour and the rate of the current is 3.4285714285714284 miles per hour.

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The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

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Answer: mandatory and discretionary.

ita 3 fiths x plus three eigths

Using the concepts of straight line, we got 7 movies did marc watch between the beginning of week 1 and the beginning of week 5.

From the diagram given, we got that during the week 1 number of movies watch by marc is 2,while at the beginning of the week 5 the number of movies watch by marc is 9.

So, we need total  number of movies watched by marc in between week 1 and week 9 which is given by-

Number of movies watch at the beginning of week 5-Number of movies watch at the beginning of week 1

Number of movies=9-2

=>Number of movies watched by marc=7.

Hence, the number of movies marc watch between the beginning of week 1 and the beginning of week 5 is 7.

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(Complete question)

Marc is keeping track of the total number of movies he has watched over time. The line graph below actually shows the data where the number of movies corresponds to  number of movies that had been watched at the beginning of  week shown on the horizontal axis.

How many movies did Marc watch between  beginning of week 1 and the beginning of week 5? Do not include the unit in your answer.

When testing the differences between means, the research hypothesis suggests that population means are not equal.  (Option B)

Hypothesis refers to a concept or explanation for a trend that is based on known facts but has not yet been proved. A research hypothesis, also known as scientific hypothesis, is a statement about the expected result of a study. It is the proposed answer to the research question and generally includes an explanation (e.g., x affect y because …). It introduces a research question and proposes an expected result. It illustrates the relationship between two variables - an independent and dependent variable. Hence, when testing the difference between means, the hypothesis that suggests that population means are not equal is a research hypothesis.

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The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

\(\frac{\sqrt{5x^{2} } }{\sqrt{3x^{3} } } =\sqrt{\frac{5}{3x} }\)

Step-by-step explanation:

Simply because

\(A=\frac{5}{3} = \frac{5}{3}*\frac{3}{3} = \frac{15}{9} =\frac{5}{3}\)

So its value remains Constant , It's simply as if you're multiplying by 1 which doesn't change anything at all

but when doing this

\(A=\frac{5}{3} = \frac{5}{3}*\frac{5}{3} = \frac{25}{9} \neq \frac{5}{3}\\\)

You changed its value

\(A\) now became \(A^{2}\)

Hope you understand it

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The right response is B. According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

The right response is B.

The distance between the first quartile (Q1) and the third quartile in a box plot is known as the interquartile range (IQR) (Q3).

According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

Although the range given in Option A is erroneous, the idea of an outlier being outside of a specific range based on the IQR is correct.

Option C's range, which is Q2 - 1.5(IQR) to Q2 + 1.5(IQR), is incorrect for locating outliers.

The phrase "TQR," which is uncommon in box plots, is mentioned in Option D. The range of Q2 -1.0(IQR) to Q2 +1.0(IQR) provided is incorrect for either locating outliers.

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Answer:

1. 2

3. 2 2/3

5. 11/12

Step-by-step explanation:

Answer: 6 + 4/x

Step-by-step explanation:

Since a quotient is division, the algebraic expression is basically saying that you divide 4 with a number (or variable) and add 6 more to it.

6 + 4/x

Therefore, the way to rephrase "6 more than the quotient of 4 and a number' would be 6 + 4/x. I understand sometimes it's very easy to forget the basic things, for example, in my class :). Hope this helps!

-From A 5th Grade Honors Student who loves Algebra!

Answer:

358.125

Step-by-step explanation:

Answer:

358 3/24

Step-by-step explanation:  

The car travels 183 miles distance in 3 hours.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Distance travelled by car in 4/5 hour = 48⁴/₅ miles  or 244/5 miles.

To find distance travelled by car in 3 hours, use ratio property,

4/5 hours = 244/5 miles

⇒1 hour = 61 miles

⇒3 hours = 61×3 = 183 miles

The distance covered by car in 3 hours is 183 miles.

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Answer:

j = -4/(k - h)

Step-by-step explanation:

h - 4/j = k

use inverse operation

h - 4/j = k

-h         -h

-4/j = k - h

*j      *j

-4 = j( k - h )

/( k - h )  /( k - h )

-4/( k - h ) = j

Answer:

at x =1 f(x) =0

so the value of the domain is x=1

Answer:

x = 1

Step-by-step explanation:

The question is asking f(x) = 0, which means y = 0

So you would be looking at where y axis is 0, which is x intercept

Looking at the image, you can see that the line go across at x = -0.5 and x = 1, and that's the answer because x = -0.5 is not an answer choice

Answer:

70 degrees

Step-by-step explanation:

We want to determine an angle \(\theta$ such that $0.3<\cos \theta<0.5\)

If \(0.3<\cos \theta<0.5,$ then:\)

\(\arccos 0.3< \theta<\arccos 0.5\)

\(60^\circ<\theta<72.53^\circ\)

Therefore, any angle greater than 60 degrees but less than 72.54 degrees will give a cosine value of the required range.

Example:

\(\cos 70^\circ =0.342\)