50 Points! Solve each equation or inequality. Only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!

50 Points! Solve Each Equation Or Inequality. Only Looking For An Answer To B. Photo Attached. Please

Answers

Answer 1

The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41 and the solution to the inequality is b ≤ 1.87

Solving the equations or inequalities for w

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

5ʷ ⁺ ³ = 17

Take the logarithm of both sides

So, we have

w + 3 = ln(17)/ln(3)

Evaluate the quotient

This gives

w + 3 = 2.59

So, we have

-3 + w + 3 = 2.59 - 3

Evaluate

w = 0.41

For the second expression, we have

2ᵇ ⁺ ¹ ≤ 7.31

Take the logarithm of both sides

So, we have

b ≤ ln(7.31)/ln(2) - 1

So, we have

b ≤ 1.87

Hence, the equation when solved for w is approximately w = 0.41

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Related Questions

what is the area of a circle with the diameter of 22 in

Answers

Answer:380.1 square inches

Step-by-step explanation:Area of a circle in terms of diameter: Area = π· (d2) 2 = 3.14· (222) 2 = 3.14· (11) 2 = 380.1 square inches (*)

If g(x) = 3x -2 and (gof)(x) = 15x + 10, find f(x).​

Answers

Answer:

the function f(x) is f(x) = 5x + 4.

Step-by-step explanation:

To find f(x), we need to use the formula:

(gof)(x) = g(f(x)) = 3f(x) - 2

We are given that (gof)(x) = 15x + 10, so we can substitute this expression into the formula to get:

3f(x) - 2 = 15x + 10

Simplifying this equation, we get:

3f(x) = 15x + 12

Dividing both sides by 3, we get:

f(x) = 5x + 4

Therefore, the function f(x) is f(x) = 5x + 4.

helpppp
in the figure below, m WXZ=72 degrees, and m 2 is three times m 1. Find m 1

Answers

Answer:

Step-by-step explanation:

What remainder is found when dividing 2x^2+7x-4 by x-3?

Answers

The remainder that is found when dividing 2x^2+7x-4 by x-3 is 35

Calculating the remainder that is found when dividing 2x^2+7x-4 by x-3?

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

Dividing 2x^2+7x-4 by x-3

This means that

Dividend = 2x^2 + 7x - 4

Divisor = x - 3

Set the divisor to 0

So, we have

x - 3 = 0

Evaluate

x = 3

Substitute 3 for x in the dividend equation, so, we have the following representation

Remainder = 2(3)^2 + 7(3) - 4

Evaluate

Remainder = 35

Hence, teh remainder is 35

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esson Quiz
The ages, in years, of 6 volunteers at the local food pantry are listed below. If a 7th volunteer joins them, what would their age be so that the range of their ages will be 557
(56, 81, 54, 47, 45, 94)
O
S
8
18
10

Answers

The age of the 7th volunteer has to be 602 years so that the range of the all volunteer ages will be 557.

Given ages of 6 volunteers = (56, 81, 54, 47, 45, 94)

The range = maximum value - minimum value.

So, range of the given list = 94 - 45 = 49.

To increase, the range to 557, we have to add an age that is greater than 94, To obtain that age we have to solve 557 - 45 = 508. [here 557 is the maximum value]

Now, by adding the obtained range to the 94 we can get the required age of 7th volunteer. So 508 + 94 = 602.

From the above explanation, we can conclude that the age of the 7th volunteer has to be 602 years which is unrealistic so that the range becomes 557.

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Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.

[tex]n = \frac{2}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3} [/tex]

[tex]m = \frac{4 \sqrt{3} }{3} [/tex]

1.) The average student takes 5 classes a semester. The table represents the probability distribution of the number of classes an average student passes in a given semester.
x P(X=x)

0 0.001
1 0.098
2
3 0.175
4 0.419
5 0.195

a. Find the missing probability
b. Find the expected number of classes passed.
c. Is it unusual for an average student to pass at most 2 class in a given semester?

Answers

a. The missing probability is 0.112

b. The expected number of classes passed is 3.38.

c. Is it unusual for an average student to pass at most 2 classes in a given semester is 0.211

a. Since the whole of all probabilities must rise to 1, we are able to discover the lost likelihood by subtracting the whole of the given probabilities from 1:

1 - 0.001 - 0.098 - 0.175 - 0.419 - 0.195 = 0.112

Subsequently, P(X=2) = 0.112.

b. The anticipated number of classes passed can be found by increasing each possible value of X by its particular likelihood, and after that summing the items:

E(X) = 0(0.001) + 1(0.098) + 2(0.112) + 3(0.175) + 4(0.419) + 5(0.195)

= 3.38

Hence, the anticipated number of classes passed is 3.38.

c. To decide in case it is bizarre for an average student to pass at most 2 classes in a given semester, we have to calculate the likelihood of passing at most 2 classes:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.001 + 0.098 + 0.112

= 0.211

Since this likelihood is more noteworthy than 0.05 (i.e., the commonly utilized threshold for determining whether an occasion is unordinary), it isn't abnormal for a normal understudy to pass at most 2 classes in a given semester. 

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In a survey, 54.5% of respondents have portable earbuds and 30% of the respondents who have portable earbuds also have a smart speaker. What is the probability that a respondent has both portable earbuds and a smart speaker? If necessary, round to the nearest hundredth of a percent.

Answers

The probability that a respondent has both portable earbuds and a smart speaker is 0.16

What is the probability that a respondent has both portable earbuds and a smart speaker?

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

54.5% of respondents have portable earbuds 30% of the respondents who have smart speaker.

This means that

P(earbuds) = 54.5%

P(smart speaker) = 30%

Using the above as a guide, we have the following:

P = P(earbuds) * P(smart speaker)

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

P = 54.5% * 30%

Evaluate

P = 0.16

Hence, the probability is 0.16

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compute (x^2 + 3x - 10) / (x + 5)

Answers

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 3x - 10 }{x + 5} \\ = \frac{(x + 5)(x - 2)}{(x + 5)} \\ = (x - 2)[/tex]

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Which one of the following is a rule of multiplication?

A.The order in which you multiply two whole numbers
changes the product.

B.The product of a whole number and 1 is never the
same whole number.

C.The product of a whole number and zero is the same
whole number.

D.The way you group numbers in a series of
multiplication problems doesn't change the final
product.

Answers

Answer:

D.The way you group numbers in a series of

multiplication problems doesn't change the final

product.

what is the mode of 14, 17, 21, 28, 40

Answers

Answer:

24

Step-by-step explanation:

14 + 17 + 21 + 28 +40 / 5

120 / 5

24

Participants in a study of a new medication received either medication A or a placebo. Find P(placebo and improvement). You may find it helpful to make a tree diagram of the problem on a separate piece of paper.

Of all those who participated in the study, 80% received medication A.
Of those who received medication A, 76% reported an improvement.
Of those who received the placebo, 62% reported no improvement.
I see the other answers about the same question, but I still don't understand some of it

Answers

To find P(placebo and improvement), we need to use the information given in the problem and apply the formula for conditional probability:

P(A and B) = P(A) x P(B|A)

where P(A) is the probability of event A, and P(B|A) is the conditional probability of event B given that event A has occurred.

In this case, we want to find the probability of two events occurring together: receiving the placebo and reporting an improvement. Let's use a tree diagram to organize the information:

```
A (80%)
/ \
Imp No imp
/ \
B No B
```

From the diagram, we can see that:

- P(placebo) = 1 - P(medication A) = 1 - 0.8 = 0.2
- P(improvement | medication A) = 0.76
- P(no improvement | placebo) = 0.62

Now we can use the formula to find P(placebo and improvement):

P(placebo and improvement) = P(placebo) x P(improvement | placebo)

P(placebo and improvement) = 0.2 x (1 - P(no improvement | placebo))

P(placebo and improvement) = 0.2 x (1 - 0.62)

P(placebo and improvement) = 0.2 x 0.38

P(placebo and improvement) = 0.076

Therefore, the probability of receiving the placebo and reporting an improvement is 0.076, or approximately 0.08, which means that about 8% of the participants received the placebo and reported an improvement.

What’s x+2(7-x)=12 but like this ( , )

Answers

The solution to the equation x + 2(7 - x) = 12 is x = 2.

What is the solution to the given equation?

Given the equation in the question:

x + 2(7 - x ) = 12

To solve the  equation, you need to use algebraic techniques to isolate the variable x on one side of the equation.

x + 2(7 - x) = 12

Apply distributive property

x + 2×7 + 2×-x = 12

x + 14 - 2x = 12

Combine like terms by subtracting 14 from both sides:

x - 2x = 12 - 14

-x = -2

Solve for x by dividing both sides by -1:

-x/-1 = -2/-1

x = 2

Therefore, the value of x is 2.

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Select the correct location on the table.
Darian knows the area of a ring-shaped figure, and wants to determine the radius of the outer circle. His teacher tells him the following formula for finding the area of a ring based on the radius of the smaller circle, r, and the radius of the outer ring, R.

An illustration of two concentric circles. The radius of the inner circle is lower case r and the radius of the outer circle is upper case R.

Darian decides to rewrite the equation to solve for the radius of the outer ring. His work is shown below. Determine if Darian made a mistake when rewriting the equation, and if so, select the step where Darian made his first error.

Answers

There was no error in the procedure as we can see below.

What is the change of subject in a formula?

In algebra, a formula expresses a relationship between two or more variables. Changing the subject of a formula means isolating a specific variable on one side of the equation. This is done by applying inverse operations in a specific order to eliminate all other variables and isolate the desired one.

We have the formula as;

[tex]A = \pi R^2 - \pi r^2\\A = \pi(R^2 - r^2)\\A/ \pi = R^2 - r^2\\R^2 = A/ \pi + r^2\\R = \sqrt{} A/ \pi + √r^2\\R = \sqrt{} A/ \pi + r[/tex]

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(6-x):(7-x)::(18-x):(22-x)

Answers

Using the property of proportionality for the equation (6-x) : (7-x) :: (18-x) : (22-x), then, x = ⁶/₇.

How did we get the value of x?

Solving this problem by using the property of proportionality, which states that the ratio of the first two terms in a proportion is equal to the ratio of the last two terms. In this case:

(6-x) : (7-x) :: (18-x) : (22-x)

Solving for x, cross-multiply the ratios:

(6-x) x (22-x) = (7-x) x (18-x)

Expanding both sides:

132 - 28x + x² = 126 - 25x + x²

Simplifying, we get:

7x = 6

Therefore, x = ⁶/₇.

Thus, the solution to the proportion is:

(6-x) : (7-x) :: (18-x) : (22-x)

or

⁶/₇ : ¹/₇ :: ¹²/₇ : ¹⁶/₇

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6. A library owner wants to purchase books for the library. He wants to purchase a maximum of 27 book
between short stories and novels. The cost of each short-story book is $6 and the cost of each novel is
$10.
If he cannot spend more than $90 on books, which system of inequalities below can be used to
determine the number of short-story books, s, and the number of novels, n, he can purchase?

Answers

Answer: 6s + 10n less than or equal to 90

2x+15-8=14
find the value of x

Answers

Answer:

x = 3.5

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, simplify. Combine like terms. Like terms are terms that share the same amount of the same variables:

[tex]2x + 15 - 8 = 14\\2x + (15 - 8) = 14\\2x + (7) = 14[/tex]

Next, isolate the variable, x. First, subtract 7 from both sides of the equation:

[tex]2x + 7 = 14\\2x + 7 (-7) = 14 (-7)\\2x = 14 - 7\\2x = 7[/tex]

Finally, divide 2 from both sides of the equation:

[tex]2x = 7\\\frac{(2x)}{2} = \frac{(7)}{2}\\ x = \frac{7}{2}\\ x = 3.5[/tex]

x = 3.5 is your answer.

~

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Answer:

[tex]\bold{\Large \boxed{x=\frac{7}{2}}}[/tex]

Step-by-step explanation:

To solve the equation [tex] 2x+15-8=14 [/tex] for x, we need to isolate x on one side of the equation.

We can do this by first combining the constants on the right-hand side of the equation:

[tex]2x+15-8=14[/tex]

[tex]2x+7=14[/tex]

Next, we can isolate x by subtracting 7 from both sides of the equation:

[tex]2x=7[/tex]

Finally, we can solve for x by dividing both sides of the equation by 2:

[tex]x=\frac{7}{2}[/tex]

Therefore, the solution to the equation [tex]2x+15-8=14[/tex] is [tex]\bold{x=\frac{7}{2}}[/tex].

A researcher claims that the proportion of smokers in a certain city is less than 20%. To test this claim, a random sample of 700 people is taken in the city and 150 people indicate they are smokers.

The following is the setup for this hypothesis test:

H0:p=0.20
Ha:p<0.20
In this example, the p-value was determined to be 0.828.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)

Answers

Answer:

Based on the hypothesis test conducted with a significance level of 5%, we fail to reject the null hypothesis that the proportion of smokers in the city is 20%. This means that we do not have sufficient evidence to conclude that the proportion of smokers is less than 20%. The p-value of 0.828 suggests that there is a high probability that the observed proportion of smokers in the sample is due to chance and not a true difference in the proportion of smokers in the population. Therefore, we cannot conclude that the city has a lower proportion of smokers than 20%.

Final answer:

In this hypothesis test set up by the researcher, the p-value is 0.828, which is greater than the significance level (0.05). Therefore, we do not reject the null hypothesis, meaning there is not enough statistical evidence to validate the researcher's claim that the proportion of smokers is less than 20%

Explanation:

A hypothesis test in statistics uses test statistics based on sample data to accept or reject a null hypothesis. In this scenario, the null hypothesis (H0) states that the proportion of smokers (p) is 20%. The alternative hypothesis (Ha) claims that the proportion of smokers is less than 20%. The p-value is a measure of the probability that the observed data could occur under the null hypothesis. In our case, a p-value of 0.828 means that there is an 82.8% chance of observing the data if the true proportion of smokers is 20%, or higher.

Usually a threshold known as the significance level (in this case 5% or 0.05) is used to determine whether the null hypothesis should be rejected or not. If the p-value is less than or equal to the significance level, it suggests that the observed data is inconsistent with the null hypothesis, and the null is usually rejected. However, since our p-value is greater (0.828 > 0.05), we would not reject the null hypothesis, suggesting that there is not enough evidence to support the researcher's claim that the proportion of smokers is less than 20%.

Therefore, the conclusion is that the researcher's claim cannot be validated using the provided data.

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what would the speed be if the tailwind of an airplane is 150 mph and the headwind remains at 100 mph

Answers

Answer:

To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind.

To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)

To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)

To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)Speed of airplane = 50 mph

To calculate the speed of the airplane, we need to subtract the speed of the headwind from the speed of the tailwind. Speed of airplane = (Speed of tailwind) - (Speed of headwind)Speed of airplane = (150 mph) - (100 mph)Speed of airplane = 50 mphTherefore, the speed of the airplane would be 50 mph.

PLSSS.the function : ℝ → ℝ, () = 2^, : (0; +∞) → ℝ, () = √4 + 1 + 1.show
that the graphs of the functions and intersect at the abscissa point x=2

Answers

[tex]f(2) = g(2) = 4[/tex], which means that the graphs of the two functions intersect at x = 2.

What is the abscissa point?

To show that the graphs of the functions   [tex]f(x) = 2^x[/tex] and [tex]g(x) = \sqrt(4x + 1) + 1[/tex]  intersect at the abscissa point x = 2, we need to show that both functions have the same value at  [tex]x = 2.[/tex]

First, we evaluate f(2):

[tex]f(2) = 2^2 = 4[/tex]

Next, we evaluate g(2):

[tex]g(2) = \sqrt(4(2) + 1) + 1 = \sqrt9 + 1 = 4[/tex]

Therefore,  [tex]f(2) = g(2) = 4[/tex] , which means that the graphs of the two functions intersect at [tex]x = 2[/tex] .

To visualize this, we can plot the two functions on the same set of axes:

As we can see from the graph, the two curves intersect at the point (2, 4).

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The complete question is: How can you show that the graphs of the functions f(x) = [tex]2^x[/tex] and g(x) = √(4x + 1) + 1 intersect?

Assistance needed pls and thanks

Answers

By using the parallelogram method, the addition of the vectors [tex]\vec a + \vec b[/tex] is (3, 1).

How to add vectors by using the head to tail method or parallelogram method?

In Mathematics, a vector typically comprises two (2) points. First, is the starting point which is commonly referred to as the "tail" and the second (ending) point that is commonly referred to the "head."

Furthermore, the head to tail method of adding two (2) vectors requires drawing the first vector ([tex]\vec a[/tex]) on a graph and then placing the tail of the second vector ([tex]\vec b[/tex]) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector ([tex]\vec a[/tex]) to the head of the second vector ([tex]\vec b[/tex]).

By adding the given vectors algebraically, we have the following:

[tex]\vec a + \vec b[/tex] = (2, -3) + (1, 4)

[tex]\vec a + \vec b[/tex] = [(2 + 1), (-3 + 4)

[tex]\vec a + \vec b[/tex] = (3, 1).

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Yogi is installing carpet in the hotel lobby. He Charges 4.30$ per square foot for the carpet plus $75 installation fee what is the total cost

Answers

If Yogi Charges 4.30$ per square foot for the carpet plus $75 installation fee, the total cost of installing carpet in the hotel lobby with Yogi is $2,225.

To determine the total cost of installing carpet in the hotel lobby with Yogi, we need to know the area of the lobby in square feet. Once we have the area, we can use Yogi's pricing scheme to calculate the total cost.

Assuming that we have measured the area of the lobby to be 500 square feet, we can calculate the total cost as follows:

Cost of carpet = area × price per square foot

= 500 × $4.30

= $2,150

Cost of installation = $75

Total cost = cost of carpet + cost of installation

= $2,150 + $75

= $2,225

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Element X is a radi
an experiment starts out with 490 grams of Element X, write a function to represent
the mass of the sample after t years, where the monthly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per month, to the nearest
hundredth of a percent.

Answers

Let r be the monthly rate of change of Element X, expressed as a decimal. We can then write the function to represent the mass of the sample after t years as:

m(t) = 490(1 + r)^(12t)

This function takes into account that there are 12 months in a year, so we need to raise the quantity (1 + r) to the power of 12t to account for the number of months that have passed.

To find the percentage rate of change per month, we can use the following formula:

percentage rate of change per month = r * 100

For example, if r = 0.02, then the function to represent the mass of the sample after t years would be:

m(t) = 490(1 + 0.02)^(12t)

And the percentage rate of change per month would be:

percentage rate of change per month = 0.02 * 100 = 2%

Note that the rate of change could be positive or negative depending on the decay or growth of Element X, but the formula above assumes a positive growth rate.


Which expression is equivalent to 5(6x + 3y)?

A 11x+3y

B 11x+8y

C 30x+3y

D 30x+15y

Answers

Answer:

The answer is **D. 30x+15y**.

```

5(6x + 3y) = 5*6x + 5*3y = 30x + 15y

```

Step-by-step explanation:

1. Distribute the 5:

```

5(6x + 3y) = (5 * 6x) + (5 * 3y)

```

2. Simplify:

```

5(6x + 3y) = 30x + 15y

```

Therefore, 5(6x + 3y) is equivalent to 30x + 15y.

If the prism on top of the figure was 4 inches tall instead of 3 inches tall, what would be
the difference between the volume of the original prism on top and the new prism on
top?
Show your work.

Answers

4 inches minus 3 inches is 1 inch

Name the property used to produce an equivalent expression for 2(6+y)

Answers

Should be the Distribution Property

The line plot shows the number of televisions
owned by the families in a neighborhood. Use
clusters, gaps, peaks, outliers, symmetry,
skewness, and spread to describe the shape of
the distribution and summarize the data. (Example 1)
●●●+o
...
Number of Televisions
.....
N.
2
.....

4
6
8
10

Answers

The correct statements are as follows:-

There is a cluster from 3 to 4.

There is a gap between 1 and 3.

There is a peak at 4.

The data is skewed left.

We have,

Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.

The right statements for the dot plots are as follows:-

There is a cluster from 3 to 4.

There is a gap between 1 and 3.

There is a peak at 4.

The data is skewed left.

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If tan⁡θ=-5/2 and sin⁡θ>0, find the exact values of sin⁡θ,cos⁡θ,sec⁡θ,csc⁡θ,cot⁡θ.

Answers

The exact values are;

sin⁡θ = -5/√29

cos⁡θ = 2/√29

sec⁡θ =√29/2

csc⁡θ = -√29/5

cot⁡θ = -2/5

We are given that

tan⁡θ=-5/2 and sin⁡θ>0

First quadrant: I, 0°<θ<90°

We can find the first quadrant between 0° and 90° , the values from 0 to the positive numbers for the x-axis and the y-axis, the functions sine, cosine and tangent will always have positive values.

sin⁡θ = -5/√29

cos⁡θ = 2/√29

sec⁡θ =√29/2

csc⁡θ = -√29/5

cot⁡θ = -2/5

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Does the infinite geometric series diverge or converge?
1/5 + 1/10 + 1/20 +1/40 + …

Answers

Answer:

the answer is C

Step-by-step explanation:

the answer is C it converges

I do not understand this question, can some one help and get me an answer so i can understand and get it. Thank you

Answers

Answer:

m∠R=x=37°; m∠QOR=53°

Step-by-step explanation:

Any line that is tangent to a circle (such as QR) is perpendicular to the circle's radius (QO). Therefore, ΔOQR is a right triangle, with the right angle at Q.

1. You can use  90 + (x+16) + x = 180   or    (x+16) + x = 90 to solve for x.

2. If needed, you can then use the solution from step 1 to find the measure of ∠QOR.

Other Questions
Which, if any, of these scenarios produce a real image? which, if any, of these scenarios produce a virtual image?. What do nelson mandela cyril ramophosa and thabo mbeki have in common What is the area of the following circle?Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal. For its size, the common flea is one of the most accomplished jumpers in the animal world. a 2.30-mm-long, 0.490 mg flea can reach a height of 18.0 cm in a single leap. A rectangle with length n is inscribed in a circle of radius 9. Find an expression for the area of the rectangle in terms of n b) During the first market day, Fatuma bought 30 oranges and 12 mangoes and paid Ksh. 936 for all the fruits. In the second market day, the price of an orange increased by 20% while that of a mango reduced in the ratio 3:4. Fatuma bought 15 oranges and 20 mangoes and paid Ksh. 780 for all the fruits. Given that the cost of an orange and that of a mango during the first market day was Ksh. x and Ksh. y respectively: (i) Write down simultaneous equations to represent the information above. (2 marks) (ii) Use matrix in (a) above to find the cost of an orange and that of a mango in the first market day. (4 marks) (iii) Fatuma sold all the fruits bought on the second market day at a profit of 10% per orange and 15% per mango. Calculate the total amount of money realized for the sales. (2 marks) Explain four differences between and desert tropical rainforests. When Charles Darwin discovered the various finch species on the Galpagos islands, he was surprised to find so many different but related species in such a small geographic area. Which of the following best illustrates the correlation between competitive advantage and an individuals traits in a particular environment?*1 pointFinches had no natural predators on the island before Darwins voyage, allowing them to prosper on the islands.Mating behaviors in finch species ensure that different species of finch will not interbreed with one another.Competition between different species for food resources led to resource partitioning of the ecosystem.Different islands had very different food resources available, and only individuals that were adapted to eat those food resources survived and reproduced on that island. I need help with these questions pls 3. at the highest measurement for total nutrients, what percentage of the totalnutrients is nitrogen? Which type of estimating uses project characteristics in a mathematical model to estimate project costs investigators think that income might be a confounder in the relationship between hispanic ethnicity and cardiovascular disease. they conduct a case-control study and they match cases and controls based on income. they find that hispanics are more likely to have cardiovascular disease as compared with non-hispanics. what would you conclude about income as a potential confounder in this association? Michael Devereux v. United Parcel Service, Inc. - 2011 Tenn. LEXIS 19 (Tenn. Sup. Ct.) decision and reasoning Discretionary government spending includes payments made for. The buying and selling rate of U. S. Doller ($) in a day are Rs 115. 25 and Rs 116. 5 respectively. How many dollar should be bought and sold to have the profit of $ 10 ? Find it Can you use addition or mulipulcation for solving 100000 x 1/100000 What is a prerequisite to effective leadership? multiple choice situational leadership transformational leadership transactional leadership laissez-faire leadership Which name best describes the polygon withvertices (0,0), (4,8), (12,8), and (16,0)? Only a small percentage of Americans owned cars before the 1940s. By 2017, there were nearly 250 million vehicles for 323 million people, significantly increasing the need for roadways. In 1960, the United States had about 16,000 km of interstate highways. Today, the interstate highway system includes 77,000 km of paved roadways. What percent increase does this represent?A. 381 percentB. 792 percentC. 38 percentD. 79 percent A senior is manager implements a vendor-managed inventory system that reduces both the administrative costs of managing inventory and inventory holding costs. what business strategy does this represent