Which expression is equivalent to square root 8x^7y^8?

Answer:

D

\(x + 40 \degree = 180\degree \\ x = 180\degree - 40\degree \\ x = 140\degree\)

Answer:

x = 140°

Step-by-step explanation:

x and 40° are adjacent angles and sum to 180° , then

x + 40° = 180° ( subtract 40° from both sides )

x = 140°

Answer:

49 = 7m

m = 7

Step-by-step explanation:

200 - 151 = 49

There are 49 M&M's left

m = M&M's per day

7(7) = 49

Answer:

49 ÷ 7 = 7

Step-by-step explanation:

200 - 151 is 49 so 7 beacuase 49 divided by 7 is 7

Answer:

Age of Qasim =  6 year

Age of Asif = 1 year

Step-by-step explanation:

Let :

Age of Qasim = x

Age of Asif = x -5

After 4 years there age will be:

Age of Qasim = x+4

Age of Asif = x-5+4 = x-1

We are given: Four years later, Qasim will be twice as old as  Asif.

Age of Qasim = 2 (Age of Asif)

x+4=2(x-1)

x+4=2x-2

2x-x=4+2

x=6

So, We get x = 6

The present ages will be:

Age of Qasim = x = 6 year

Age of Asif = x -5 = 6-5 = 1 year

Answer:

Step-by-step explanation:

total surface area=3×(1/2×10×6.7)+1/2×10×8.7=3×(33.5)+43.5

=100.5+43.5

=144

Answer:x=1.

Step-by-step explanation:

3x-x+2=4

The intervals of each behavior of the function are given as follows:

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The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

3cm,4cm,5cm

Step-by-step explanation:

5 is the longest side ( the hypotenuse)

and by Pythagoras theorem x=√(3²+4²)

= √(9+16)

=√(25)

= 5

so 3cm,4cm,5cm is a right angle triangle.

x=√(27²+36²)

=√(729+ 1296)

=√2025

=45

so 27cm,36cm,45cm is a right angle triangle

Answer:

She will spend $345.29 on posts.

Step-by-step explanation:

This situation can be represented by a linear equation since it is defined by a constant rate of change and an initial value. Linear functions are given by:

Therefore, if 6.75 feet is the rate of the posts and it has to start with one post.

It posts cost $8.03 each and the wall will be 290.25 feet long.

Let x be the number of posts needed.

Now, substitute x=43 into the function to determine the total cost of the posts:

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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After the dilatation:

Answer:

A

Step-by-step explanation:

The conclusion is Nothing further because the sample is not random, the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The statement of poll

Now,

Nothing further because the sample is not random. This is because the poll is based on a voluntary response from users who visit Twiigs, which may not be representative of the population of all parents. There may be a selection bias or a response bias that affects the results. For example, parents who are more concerned about autism may be more likely to visit Twiigs or to participate in the poll than those who are not.

the poll cannot be used to draw any valid conclusions about the general attitude of parents towards vaccination and autism.

Therefore, by algebra the answer will be Nothing further because the sample is not random

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Answer:

d

Step-by-step explanation:

Answer:

B) 1

Only 1 line of symmetry

Step-by-step explanation:

This shape/figure is a heart, and a heart shape can only be divided into symmetry once!

I hope this helped :)

Answer:

0.1241

Step-by-step explanation:

Given that:

Critical path = 37 days

Variance total = 27 days

Completion date (x) = 43 days

We obtain the Zscore :

Zscore = (x - critical path) / variance total

Zscore = (43 - 37) / √27

Zscore = 6 / √27

Zscore = 1.1547

Zscore = 1.155

Hence, probability of completing in 43 days :

P(Z > 43) = 1 - P(Z < 43)

P(Z < 43) = 0.8759

P(Z > 43) = 1 - 0.8759 = 0.1241

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

the answer is

x=-2, x=3

hope this will help you ❤️

let's solve the quadratic equation :

there are two cases now,

Case - 1 - when (x + 2) = 0

Case - 2 - when (x - 3) = 0

so, the missing numbers to be filled in the boxes are :

Answer: $2.21

Step-by-step explanation:

To calculate the cost per pound of mushrooms, we need to use the yield factor given in the question. The yield factor tells us the percentage of the total weight of the mushrooms that can be used for cooking or sale. Here, the yield factor is 90%, which means that 90% of the weight of the mushrooms can be used. Let's begin with the calculation:

First, we need to find out how much of the weight of the mushrooms is usable: 90% of 15 pounds = 0.9 x 15 = 13.5 pounds

Now, we can find out the cost per pound of the mushrooms:

Cost per pound = Total cost / Total usable weight

Total cost = $29.85

Total usable weight = 13.5 pounds

Therefore, the cost per pound of mushrooms = $29.85 / 13.5 pounds ≈ $2.21 per pound

Therefore, the cost per pound of mushrooms is $2.21 per pound.

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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A rhomus has te following shape:

therefore, the top part is missing, if we analyze, it should be 5 on the y axis and 3 on the x axis.

Answer: (3,5)

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

I canot answer this

Step-by-step explanation:

Given

Solution

Expand the bracket

The final answer

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

D

Step-by-step explanation:

Just multiple them and see which one fits the question.

A: 10 * 8 = 80 * 9 = 720 So it's too big.

B: 9 * 9 = 81 * 9 = 729. Also too big.

C: 9 * 10 = 90 * 9 = 810 too big.

D: 8 * 8 = 64 * 11= 704

Answer:

D length: 8 feet, width: 8 feet, height: 11 feet

Step-by-step explanation:

volume of a rectangular prism = length x width x height

Therefore,

A)  volume = 10 x 8 x 9 = 720 cubic feet

B)  volume = 9 x 9 x 9 = 729 cubic feet

C)  volume = 9 x 10 x 9 = 810 cubic feet

D)  volume = 8 x 8 x 11 = 704 cubic feet

As the prism has a volume of between 700 and 710 cubic feet, D is the solution.

Answer:

together they are 124.5 milligrams

Step-by-step explanation:

together they are 124 + 0.5 = 124.5 milligrams

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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