The bottom number. I need written in a way where there is no number above the square root symbol. (The number 4 that’s a live the square root symbol) I need it like simplified to where there is no number above the square root symbol

m∠4=m∠8 (Corresponding angles are equal)

[tex]4x+2=86\\4x=86-2\\4x=84\\\frac{4x}{4} =\frac{84}{4} \\x=21[/tex]

x=21°

Given:

Required:

We need to find the value of x when P(x)=80.

Explanation:

Solve for x.

Divide both sides by 25.

Final answer:

See a horizontal line from point 80 on the y axis and mark the intersection point on the graph.

The expression of the fraction 10¹/₅ - 2¹/₆ as a mixed fraction is;  8¹/₃₀

We want to subtract two fractions.

Now, fractions could be either proper fraction, improper fraction or mixed fraction.

Now, a proper fraction simply means the numerator is smaller than the denominator, a mixed fraction simply means a whole number and a proper fraction while an improper fraction simply means the numerator is bigger than the denominator

We are given the operation;

10¹/₅ - 2¹/₆

Converting to improper fraction gives;

51/5 - 13/6

Factorizing gives us;

1/30((51 * 6) - (13 * 5))

= 241/30

Converting to mixed fraction gives 8¹/₃₀

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Divide fractions

3.1/3.2

PART 1,

Pithagorean theorem

x^2 =™9^2 + 12^2 = 81 + 144 = 225

then

x=√225 = 15

PART 2

x^2 = 10^2 + 24^2 = 100 + 576 = 676

then

x= √676 = 26

PART 3

10 ^ 2 = x^2 + 6^2

So then

10^2 - 6^2 = x^2

100 - 36 = x^2

64 = x^2

√64 = 8 = x

PART 4

24^2 = x^2 + 6^2

So then write

24^2 -6^2 = x^2

576 - 36 = x^2

As a result

540 = x^2

Then

√540 = x

Answer:

Step-by-step explanation:

Total marbles:

Green marbles made of glass:

Required probability:

The interest she pays over 4 weeks is #5000 and the interest she pays per week is #1250.

According to the question,

We have the following information:

A woman borrows #20 000 for 4 weeks.

She agrees to pay #25 000 back at the end of the 4 weeks.

Now, we will subtract the borrowed amount from the amount paid after 4 weeks to find the interest paid after 4 weeks.

(a) Interest paid over 4 weeks = #(25000-20000)

Interest paid over 4 weeks = #5000

(b) Now, we can easily find the interest paid per week by the interest paid over 4 weeks by the total number of weeks.

Interest paid per week = Interest paid in 4 weeks/4

Interest paid per week = 5000/4

Interest paid per week = #1250

Hence, the answers to part a is #5000 and the answer to part b is #1250.

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in this problem

the graph define a function, because the x-value has only one output (one value of y)

Answer:

$1.12

Step-by-step explanation:

x = 8

6x = 53.76

6(8) = 53.76

48 burgers = 53.76

Divide 53.76 by 48 for cost per burger (53.76 ÷ 48)

Answer: Melissa sleeps for 8 hours and wakes up at 7 am.

Step-by-step explanation: For this i was able to do just eliminate some answer. "Melissa sleeps for 7 hours and wakes up at 8 am," in this case Melissa would drink coffee because she slept less than 8 hours. "Melissa sleeps for 9 hours and wakes up at 5:30 am," in this case Melissa would drink coffee since she had woke up at 5:30 am. "Melissa sleeps for 7 hours and wakes up at 6 am," in this case Melissa would drink coffee since she had less than 8 hours of sleep. In conclusion, The only time Melissa wouldn't had drank coffee is when she had slept for 8 hours and woke up at 7 am. That is because had slept more than 8 hours and had woke up after 7 am.

Answer:

Explanations

Inequalities expressions are expressions not separated with an equal sign. The inequality signs are <, >, ≤ and ≥.

From the given question, we are to write the given inequality in interval notation.

Interval notation are represent using the set notation symtion sym

The given equation is,

So, from this equation , we have to find the value of x. The left hand side of the equation has x with 1/3 as coefficient, therefore, inorder to make it x, we have to,

as the thress get cancelled. If we do some operation on one side of the equal sign, it is to be applied on the other side also so as to maintain the equivalency.

So here we have to multiply by 3.

But in option, there is no as such given , but it is given that divide by 1/3.

which is equuivalent to multiplying by three.

So the option " Divide by 1/3" is correct.

we have:

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The correct answers are:

CONCLUSION:

The final answers are:

OPTION B and OPTION D

Answer:

Explanation:

Here, we want to get the amount of money Eric earns per week

Let the amount earned be n

Now, to get the value earned, we have to subtract the value he had before from what he has now or simply add what he had before to what he earned now and equate to his total balance now

Mathematically, we have that as:

Question:

Simplify the expression

Step 1:Apply the fraction rule

Step 2:Apply the law of indices

Step 3: Apply the fractional exponent of indices

Hence,

The final answer = w¹⁰/3y⁴

Orthocenter

Let

A(2,0)

B(3,2)

C(6,0)

step 1

Find out the slope AB

m=(2-0)/(3-2)

m=2/1

m=2

Remember that

If two lines are perpendicular, then, their slopes are negative reciprocal

so

the slope of the altitude that passes through C is -1/2

Find out the equation of the altitude that passes through C

y=mx+b

we have

m=-1/2

point C(6,0)

substitute

0=-(1/2)(6)+b

solve for b

0=-3+b

b=3

equation is y=-(1/2)x+3 -------> equation 1

step 2

Find out the slope BC

m=(0-2)/(6-3)

m=-2/3

so

the slope of the altitude that passes through A is 3/2

Find out the equation of the altitude that passes through A

y=mx+b

we have

m=3/2

point A(2,0)

0=(3/2)(2)+b

solve for b

0=3+b

b=-3

y=(3/2)x-3 ------> equation 2

step 3

the intersection point equation 1 and equation 2 is the orthocenter

y=-(1/2)x+3 -----> equation 1

y=(3/2)x-3 ------> equation 2

solve the system

solve by graphing

using a graphing tool

the intersection point is (3,1.5)

that means

the orthocenter is (3,1.5)

see the attached figure to better understand the problem

Given:

A graph which has an odd degree and a negative leading coefficient.

To find:

The nature of the graph.

Explanation:

Since the has an odd degree and a negative leading coefficient.

So, the end behaviours are,

So, the nature of the graph would be, up left and down right

Final answer:

up left; down right.

Given that f(x) is defined as the function below:'

To determine the value of f(1), we substitute the x with 1. Therefore:

The value of f(1) is -9.

=======================================================

Reason:

The discriminant is

d = b^2-4ac

which is the stuff under the square root in the quadratic formula.

We have these three cases

The graph shows we have 2 solutions. Each solution is an x intercept, aka "root". We go for the case in which d > 0. Therefore, the discriminant is positive.

The quotient is equal to  [tex]x^{2} +x+1[/tex]

Given

The provided equation is as follows:

[tex]\frac{x^{2}+1 }{x-1}[/tex]

What exactly is synthetic division

The synthetic division method is a quick way to divide polynomials.

When divided by the linear factor, it is also known as the polynomial division technique of a specific instance.

Therefore,

The quotient is as follows:

[tex]\frac{x^{2}+1 }{x-1}[/tex]

[tex]\frac{x(x^{2} +x+1)-1(x^{2} +x+1)}{x-1}[/tex]

[tex]\frac{(x-1)(x^{2} +x+1)}{x-1}[/tex]

[tex]x^{2} +x+1[/tex]

As a result, the quotient is

[tex]x^{2} +x+1[/tex]

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Answer: C

Step-by-step explanation:

Is this a simple random sample: Yes, because each student and sample of 100 has the same chance of being selected.

A simple random sample can be defined as a subset of items that are selected from a larger data set or statistical population, with each member of the subset having an equal or the same probability (chance) of being selected.

This ultimately implies that, each member of the subset are selected by chance and randomly, and as such a simple random sample is an unbiased representation of a larger data set or a statistical population.

In this context, we can reasonably infer and logically deduce that the data set or statistical population described in this scenario is a simple random sample.

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Answer:

Hey! So basically, 7 1/2 x 2 = 15 and 15 x 3 = 45

Hope this helped! :D

The trigonometric ratios of an angle represented with its terminal side are given by the following equations:

The first angle terminal side is located at (10, -11), then we get:

Similarly, for the second angle:

Answer:

Step-by-step explanation:

Check image below for explanation

If .5 gallon covers 200

and Susan needs 246.75

1 whole gallons covers 400 (too much)

.5 gallon = 200 paint

?? gallon = 46.75 paint

200 / 46.75 = 4.27807487

.5 / 4.27807487 = 2.13903744

2.13903744 gallon = 46.75 paint

So,

.5 gallon+ 2.13903744 gallon = 2.63903744 gallons

(200 paint + 46.75 paint = 246.75 paint)

Step 1: Let's review the information given to us to answer the exercise correctly

Amount of pure drug in the solution = 8 grams

Amount of solution = 75 mL

Step 2: Let's answer the question, as follows:

Percent strength of the solution = Amount of pure drug in the solution/Amount of solution * 100

Replacing with the values we know:

Percent strength of the solution = 8/75 * 100

Percent strength of the solution = 0.10666 * 100

Percent strength of the solution = 10.67% (Rouding to the next hundredth)

Tenth = one decimal place

Hundreth = two decimal places

Thousandth = three decimal places

The area of a triangle is 1/2 x base x height.

The area of a triangle is 24.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices

The area of a triangle is given by:

Area = 1/2 x base x height

We have,

A triangle ABC.

Angle bisectors are AD, BE, and CF, which intersect at I as shown in the figure below.

DI = 3

DI = AI = 3

Height of the triangle = AD = AI + DI = 3 + 3 = 6

BD = 4 = BC

Base of the triangle = BC = BD + DC = 4 + 4 = 8

The area of a triangle:

= 1/2 x base x height

= 1/2 x 8 x 6

= 1 x 4 x 6

= 24

Thus,

The area of a triangle is 24.

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Answer:

Step-by-step explanation:

12-2=10

9+7-10=6

Only brother: 9-6=3

Only Sister: 7-6=1

Both:6

Given:

Total cups of punch made = 619

The punch contains tw different types of juice