Mathematics High School

Question # 5

Question # 6

Question # 7

Question # 8

Question # 9

Question # 10

Question # 11

Answers

Answer 1

Answer: question#7 is 7/12

question#8 is 1 3/8

question#5 is 1/2

question#6 is 12

question#9 is 1 1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Answer 2

Question #5: Option A, $\frac{1}{2}$

Question #6: Option A, 12

Question #7: Option A, $\frac{7}{12}$

Question #8: Option D, $1\frac{3}{8}$

Question #9: Option D, $1\frac{1}{6}$

Question #10: $\frac{31}{40}$

Question #11: $\frac{3}{4}$

Pls mark brainliest

Related Questions

The picture below shows the graph of which inequality?

Answers

The picture below shows the graph of the inequality of x² ≤ 4

Option C is correct.

What is inequality in mathematics?

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions which is used most often to compare two numbers on the number line by their size.

A graph of inequality denotes that the variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

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-3(8n+10)
distributive property

Answers

-24n - 30, i suggest using math.way before asking a math question aha

1.25 in decimal form
5/4 in factional form

Listed below is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whethe is discrete or continuous. Experiment Random Variable (x) Values Continuo a. Take a 15-question examination Select your answer - ✓ - Select your answ Number of questions answered correctly Number of cars arriving at tollbooth - Select your answer - V - Select your answ b. Observe cars arriving at a tollbooth for 1 hour c. Audit 50 tax returns Number of returns containing errors - Select your answer - - Select your answ Select your answer - - Select your answ d. Observe an employee's work Number of nonproductive hours in an nine-hour workday e. Weigh a shipment of goods Number of pounds Select your answer - - Select your answ of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable S. xperiment Random Variable (x) Values Continuous or Discrete examination - Select your answer - - Select your answer - Number of questions answered correctly Number of cars arriving at tollbooth g at a tollbooth for 1 hour - Select your answer - ✓ - Select your answer - Select your answer - Number of returns containing errors - Select your answer - ✓ - Select your answer - - Select your answer - V ee's work Number of nonproductive hours in an nine-hour workday f goods Number of pounds - Select your answer - - Select your answer - V

Answers

This is because the number of pounds can take on an infinite number of values within a range.

The following table shows a series of experiments and associated random variables:ExperimentRandom Variable (x)Values

Continuous or Discrete

a. Take a 15-question examinationNumber of questions answered correctlyDiscreteb. Observe cars arriving at a tollbooth for 1 hourNumber of cars arriving at tollboothDiscretec. Audit 50 tax returnsNumber of returns containing errorsDiscreted. Observe an employee's workNumber of nonproductive hours in a nine-hour workdayDiscretee. Weigh a shipment of goodsNumber of poundsContinuous

The random variable in experiment a is discrete. This is because the number of questions answered correctly can only take on a finite number of values.The random variable in experiment b is also discrete. This is because the number of cars arriving at the tollbooth can only take on a finite number of values.The random variable in experiment c is also discrete. This is because the number of returns containing errors can only take on a finite number of values.The random variable in experiment d is discrete. This is because the number of nonproductive hours in a nine-hour workday can only take on a finite number of values.The random variable in experiment e is continuous.

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let u1,u2 be independent random variables each uniformly distributed over the interval (0,1]. show that x0 = 1, and x_n = 2^nu1 for n =1,2 defines a martingale

Answers

The sequence defined by$x_0 = 1$ and$x_n = 2^n*u_1$ for n = 1, 2, ... satisfies the properties of a martingale because it has constant expectation and its conditional expectation.

To show that the given sequence defines a martingale, we need to demonstrate two properties: the sequence has constant expectation and its conditional expectation satisfies the martingale property. First, the expectation of $x_n$ can be calculated as$E[x_n] = E[2^nu_1] = 2^nE[u_1] = 2^n * (1/2) =$$2^{(n-1)}$. Thus, the expectation of $x_n$ is independent of n, indicating a constant expectation.

Next, we consider the conditional expectation property. For any n > m, the conditional expectation of $x_n$given $x_0, x_1, ..., x_m$ can be computed as $E[x_n | x_0, x_1, ..., x_m] = E[2^nu_1 | x_0, x_1, ..., x_m] = 2^nE[u_1 | x_0, x_1, ..., x_m] = 2^n * (1/2) =2^{(n-1)}$ This shows that the conditional expectation is equal to the current value $x_m$, satisfying the martingale property. Therefore, the sequence defined by $x_0$= 1 and$x_n = 2^n*u_1$ for n = 1, 2, ... is a martingale, as it meets the criteria of having constant expectation and satisfying the martingale property for conditional expectations.

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2. What is the y-intercept of the linear
equation represented by the table?
X
у
150
1047
125
872
100
697
75
522

Answers

Answer:

Step-by-step explanation:

4x − 3= −12x + 13

4x + 12x = 13 + 3

16x = 16

x = 1

Hence, the answer is C.

Help with explaining please thank you

Answers

For given triangle, the value of x is 22.

In this question, we have been given three angles of triangle.

We need to find the value of x.

We can observe that (6x - 7)° is an exterior angle.

So, the third angle of the triangle is 180° - (6x - 7)°

We know that the sum of the all angles of the triangle is 180°

2x° + (103 - x)° + [180° - (6x - 7)°] = 180°

2x + 103 - x + 180 - 6x + 7 = 180

2x - x - 6x + 103 + 180 + 7 = 180

-5x + 290 = 180

-5x = 180 - 290

-5x = -110

x = 22

Therefore, for given triangle, the value of x is 22.

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Which of the following statements about correlation and causation is true?
Group of answer choices

Correlation cannot occur without causation.

Correlation and causation are always unrelated.

Causation implies correlation.

Correlation implies causation.

Answers

The true statement is "Causation implies correlation.."

How to determine the true statement

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

The list of options

As a general rule, causation means that there is a cause-and-effect relationship between variables.

A correlation doesn't imply causation, but causation always implies correlation

Correlation can occur without causation, meaning that two variables can be statistically related without one causing the other.

Answers

Given that the boat travels upstream for 60 miles in 4 and downstream for 60 miles in 3 hours.

Let x be the rate of the boat in still water.

Let y be the rate of the boat in the current.

Downstream =x+y.

Upstream =x-y.

Using the speed formula for downstream, we get

$3(x+y)=60$

Dividing both sides by 3, we get

$\frac{3\mleft(x+y\mright)}{3}=\frac{60}{3}$$x+y=20$$x=20-y$

Using the speed formula for upstream, we get

$4(x-y)=60$

Dividing both sides by 4, we get

$\frac{4\mleft(x-y\mright)}{4}=\frac{60}{4}$

$x-y=15$

Substitute x=20-y to compute y value, we get

$20-y-y=15$

$-2y=15-20$

$-y=\frac{-5}{2}=-2.5$$y=2.5$

Substitute y=2.5 in x=20-y, we get

$x=20-2.5=17.5$

Hence the rate of the boat in still water is 17.5 mph and the rate of the boat in the current is 2.5 mph.

80% equals 1200, then what budget is 100%?

Answers

Answer:

$1500

Step-by-step explanation:

Let's start by converting 80% to a decimal. 80% means 80/100, or 0.8. Let's call the full budget b.

0.8b=1200

Divide both sides by 0.8 to isolate b:

b=1200/0.8=$1500

Hope this helps!

How do you find the factor of a remainder theorem?

Answers

The Remainder Theorem states that if a polynomial P(x) is divided by (x - c), the remainder is P(c). To find the factor of a polynomial using the Remainder Theorem, you can use the following steps:

Start by assuming that the polynomial can be factored into (x - c) and some other polynomial Q(x).Divide P(x) by (x - c) using polynomial long division, and find the remainder R(x).Use the Remainder Theorem to set P(c) = R(c) = 0.Solve for c to find the value that makes P(c) = 0.Use the value of c found in step 4 to factor (x - c) out of P(x).Repeat the process with the remaining polynomial Q(x) until the polynomial is completely factored in.

Example:

P(x) = x^3 + 3x^2 + 2x -6

Factor = (x-2)

P(2) = 8 + 12 + 4 - 6 = 0

So, the factor of P(x) is (x-2)

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A peach is 7 times as heavy as an olive. The peach also weighs 900 grams more than the olive. What is the total weight in kilograms for the peach and olive?

Answers

Let's solve the problem step by step. Let's assume the weight of the olive is 'x' grams. According to the given information, the weight of the peach is 7 times the weight of the olive, so the weight of the peach is 7x grams.

We are also told that the peach weighs 900 grams more than the olive. Mathematically, this can be represented as 7x = x + 900.

Now, we can solve this equation to find the weight of the olive:
7x - x = 900
6x = 900
x = 150

Therefore, the weight of the olive is 150 grams. The weight of the peach is 7 times the weight of the olive, which is 7 * 150 = 1050 grams.

To calculate the total weight in kilograms, we need to convert the weights from grams to kilograms:
Weight of the olive = 150 grams = 0.15 kilograms
Weight of the peach = 1050 grams = 1.05 kilograms

So, the total weight of the peach and olive is 0.15 + 1.05 = 1.2 kilograms.

The rectangle below has an area of 144x4 square meters and a width of 12x meters. What is the length of the rectangle?

Answers

The length of rectangle is 12x³ metres .

As we know that

♦ Area of rectangle = Length × breadth

Substituting known values ,

⇒ 144x⁴ = 12x ( Length )

⇒ 144x⁴ / 12x = Length

⇒ 12x³ = Length

⇒ Length = 12 x³

Suppose you take a $250,000 thirty-year fixed-rate mortgage at 6.50%, two discount points, monthly payments. At the end of the first year you inherit $16,000 from your now-favorite aunt. You decide to apply this $16,000 to the principal balance of your loan. A. (1 pt ) How many monthly payments are remaining after the extra lump sum payment is made? B. (1 pt) What is your net interest savings over the life of the loan, assuming the loan is held to its maturity?

Answers

After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.

To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.

Given:

Loan amount (principal balance) = $250,000

Interest rate = 6.50%

Discount points = 2

Extra lump sum payment = $16,000

A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.

Principal balance after the lump sum payment:

$250,000 - $16,000 = $234,000

Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.

B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.

Total interest paid without lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 360 - $250,000

Total interest paid with lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 346 - $234,000

Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment

Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)

To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.

Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)

Net interest savings = $86,353.39

Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.

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CAN SOMEONE HELP ME WITH MY MATH PROBLEM PLEASE I'VE BEEN STUCK ON THIS FOR A WHILE

Subtract a number from -2 so that the difference is equal to: the numerical reciprocal of -2

Answers

The NR of -2 is -0.5. So you would need to subtract -2.5

The reciprocal of -2 would be 1/2, so to subtract a number from -2 to equal 1/2 we should put it in an equation

-2 - x = 1/2
Now cancel out the -2 by adding 2

-x = 2 1/2
Then multiply -x by -1 and do the same on the other side

X= -2 1/2

PLS HELP DUE TODAY I GIVE BRAINLIEST

Answers

Step-by-step explanation:

1.) 5+x=20

20-5=x

15=x

2. 5×x=20

20÷5=4

x=4

3.)5÷20=x

0.25=x

hope this helps

2765 divided by 9 partial quoents

Answers

Answer:307.2222 or just 307

Step-by-step explanation:

Does this set of ordered pairs form a function?
{(60, reading), (62, camping), (64, skiing), (65, hiking), (66, hiking), (67, camping), (69, reading), (70, reading), (71, camping), (73, swimming), (74, camping)}
A. yes
B. no

Answers

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

When does a relation represent a function?

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

The input is a number.The output is an activity.

There are no repeated inputs, hence the relation is a function and option A is correct.

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write an equivalent expression by simplifying 8(5x)

Answers

Answer:

40x

Step-by-step explanation:

If you multiply 5x 8 times, or add 5x +5x+5x+5x+5x+5x+5x+5x, you will get 40x.

Point a has coordinate a(3, 2). the point is rotated 180° clockwise about the origin. what is the x-coordinate of point a’? ( enter one corrdinate point only )

Answers

To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

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An algebraic expression of 4 pounds and 3 pounds

Answers

Answer:

4b + 3 I believe would be the expression :)

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
plz help will mark brainliest

Answers

Answer:its the second fourth and fifth

Step-by-step explanation: just did it on edge

what is another name for CA

Answers

Answer:

i think its b

Step-by-step explanation:

Yes, it’s B. The segment has the same name backwards and forwards.

why is 8.8 a rational number

Answers

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

What is the range of the function g(x) = |x – 12| – 2?

{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}

Answers

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Consider the function f(x) graphed below.

Solve the inequality f(x) ≥0

State your answer using interval notation.
Assume arrows if no symbols are shown at the ends of the graph

Answers

Answer:

(-∝, 0)

Step-by-step explanation

f(x) will extend from negative infinity and approach but never reach the point where x = 0.

So the solution is x > -infinity and < 0.

r+r+r+r+r in algebraic simplified

Answers

Answer:

Step-by-step explanation:

r+r+r+r+r=5r

how do we do mixed fractions

Answers

A mixed fraction is a combination of a whole number and a fraction.

What is a mixed fraction?

Combining a whole number and a fraction results in a mixed fraction. You can use the following steps to change a mixed fraction into an improper fraction (a fraction where the numerator is higher than the denominator):

Multiply the whole number by the denominator of the fraction. Add the result of step 1 to the numerator.

Write the sum from step 2 as the numerator of the new fraction, and keep the denominator the same.

Simplify the resulting fraction, if possible.

For example, let's say we want to convert the mixed fraction $3\dfrac{1}{2}$ to an improper fraction:

3 x 2 = 6

6 + 1 = 7

Therefore, $3\dfrac{1}{2}$ is equivalent to $\dfrac{7}{2}$.

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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ

Answers

The measure of length PQ will be 22 units.

What is the mid-point theorem?

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer

Answers

Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

f(x)=(-x)^3 -x^2-x+13f(0)f(2)f(-2)f(1)+f(-1)The problem is find the function valuesFind function values

Answers

f(0) = 13

f(2) = -1

f(-2) = 19

f(1) + f(-1) = 24

Explanation:$f\mleft(x\mright)=\mleft(-x\mright)^3-x^2-x+13$

for f(0): we will substitute x with 0 in the function

$\begin{gathered} f(0)=(-0)^3-(0)^2\text{ - 0 + 13} \\ f(0)\text{ = 0 - 0 - 0 + 13} \\ f(0)\text{ = 13} \end{gathered}$

for f(2): we wil substitute x with 2 in the function

$\begin{gathered} f(2)=(-2)^3-(2)^2-2+13 \\ f(2)\text{ = -8 -4-2 + 13} \\ f(2)\text{ = -1} \end{gathered}$

for f(-2): we will substitute x with -2 in the function

$\begin{gathered} f\mleft(-2\mright)=\mleft(-(-2)\mright)^3-(-2)^2-(-2)+13 \\ f(-2)=(2)^3-4+2+13\text{ = 8-4+2+13} \\ f\mleft(-2\mright)=\text{ 19} \end{gathered}$

for f(1) + f(-1): we will find f(1) and f(-1) seperately, then we will sum the result

$\begin{gathered} f(1)=(-1)^3-(1)^2-(1)+13 \\ f(1)\text{ = -1-1-1 + 13} \\ f(1)\text{ = 10} \\ \\ f(-1)=(-(-1))^3-(-1)^2-(-1)+13 \\ f(-1)=(1)^3-1+1+13 \\ f(-1)=\text{ 14} \end{gathered}$$\begin{gathered} f(1)\text{ + f(-1) = 10 + 14} \\ f(1)\text{ + f(-1) = 24} \end{gathered}$

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