Which number line shows the solutions to x > 5?
OA. 8642 8 2 4 6 8
OB. 864-2 0 2 4 6 8
8-64-202468
4-202468
D. Pls help

Answer:

A = $14,745.544

Step-by-step explanation:

The equation for compound interest is 

A = P (1+i)t 

A = final value

P = amount invested (principal) (10000)

i = interest rate, expressed as a decimal (.05)

t = number of years invested (8)

This formula assumes annual compounding.

Plugging in what we know.

A = 10000(1.05)^8

A = 10000 (1.47745544)

A = $14,745.544

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

[tex]35+(16x-8)+(2x+9) = 180[/tex]

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]

Let's substitute the value of x into m<FED

[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

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The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

The conditional probability P(A|B) is calculated using:

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

Using the above formula and the data in the complete question (see attachment), we have the following computations:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

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Answer:

A, B, D

Step-by-step explanation:

yw :)

Answer:

-20x-48

Step-by-step explanation:

7x-(15x +6)-6(7+2x)

7x-(15x+6)-(42+12x)

7x-15x-6-42-12x

(7x -15x-12x)+(-6-42)

=-20x-48

Answer:

-20x - 48

Step-by-step explanation:

7x - 3(5x  +2) - 6*(7 + 2x) = 7x  + (-3)*5x + (-3)*2  + (-6)*7 + (-6)*2x

                                        = 7x - 15x - 6 - 42 - 12x

                                        = 7x - 15x - 12x  - 6 -42  {Combine like terms}

                                        =  -20x  - 48

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

Answer:

angle AOC = 124

Step-by-step explanation:

3x + 94 + x + 30 + 2x - 4 = 180 ( ^'s on a STR line)

6x = 180 - 120

6x = 60

x = 10

sub x into 3x + 94

3(10) + 94 = 124

Answer:

3 inches

Step-by-step explanation:

48 - 45 = 3

Answer:

Step-by-step explanation:

Given equation:

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

[tex]~[/tex]

[tex] \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ [/tex]

The discriminant is smaller than 0.

Answer:

Typical household fixed expenses are mortgage or car payments, rent payments, real estate taxes and insurance premiums.

Mortgages, taxes, and property insurance are housing expense.

An expense is a cost that businesses incur in running their operations. Expenses include wages, salaries, maintenance, rent, and depreciation.

Given that, What type of expenses are mortgages, taxes, and property insurance.

They come under housing expenses.

Total housing expense adds up all the relevant ongoing costs needed to maintain homeownership. This will include monthly bills, insurance costs, taxes, and homeowners association dues in addition to mortgage interest and principal.

Hence, Mortgages, taxes, and property insurance are a housing expense.

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Answer:

(-0.6, 8.4)

Step-by-step explanation:

so first, we have to find out what x is. because y is equal to itself, we can substitute to get

[tex]x+9=-4x-6\\5x+9=6\\5x=-3\\x=-\frac{3}{5}[/tex]

now we can plug in the value of x to find y

[tex]y=-\frac{3}{5} +9\\y=8\frac{2}{5}=8.4[/tex]

your answer is written in the form (x,y) so the answer is (-0.6, 8.4)

Answer: Heyaa! ~

Your Answers are... (-0.6, 8.4)

Step-by-step explanation:

Hopefully this helps you!

~ Lets solve:

Use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation. You can then solve this equation as it will now have only one variable.

Answer:

3/1/4

That's the expression represents Lena's speed in miles per hour

Answer:

[tex]p =[/tex] [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

The side length ratio for a 45-45-90 angle triangle is [tex]1:1:\sqrt{2}[/tex]

The length of the bottom adjacent side of the 90-degree angle is 7, so p would be [tex]7\sqrt{2}[/tex]

Answer:

[tex]b = 2[/tex].

Step-by-step explanation:

By the factor theorem, if a monomial of the form [tex](x - a)[/tex] is a factor of the polynomial [tex](3\, x^{3} + b\, x^{2} - 3\, x - 2)[/tex], then substituting in [tex]x = a[/tex] would set this polynomial to [tex]0[/tex].

Notice that in the factor theorem, the coefficient of [tex]x[/tex] in [tex](x - a)[/tex] is [tex]1[/tex], and the sign in front of the constant [tex]a[/tex] is a minus sign. Rewrite the given factor [tex](3\, x + 2)[/tex] in this form to find the value of [tex]a\![/tex]:

[tex]\begin{aligned}& (3\, x + 2) \\ =\; & 3\, (x + (2/3)) \\ =\; & 3\, (x - \underbrace{(-2/3)}_{a}) \end{aligned}[/tex].

Thus, [tex]x = (-2/3)[/tex] should set the polynomial [tex](3\, x^{3} + b\, x^{2} - 3\, x - 2)[/tex] to [tex]0[/tex]:

[tex]\begin{aligned} & (3\, x^{3} + b\, x^{2} - 3\, x - 2) \\ =\; & 3\times (-2/3)^{3} + b\times (-2/3)^{2} - 3 \times (-2/3) - 2 \\ =\; & -3\times (2/3)^{3} + b\times (2/3)^{2} + 3 \times (2/3) - 2 \\ =\; & -\frac{8}{9} + \frac{4\, b}{9} + 2 - 2 \\ =\; & \frac{-8 + 4\, b}{9}\end{aligned}[/tex].

Set this expression to [tex]0[/tex] and solve for [tex]b[/tex]:

[tex]\displaystyle \frac{-8 + 4\, b}{9} = 0[/tex].

[tex]b = 2[/tex].

Step-by-step explanation:

1.77 would be closer to 2

Step-by-step explanation:

24.

AC = 12 = cos(angle) × AB = cos(angle) × 13

imagine a circle with center in A and radius 13.

that is why we can say AC = cos(angle) × radius, and BC = sin(angle) × radius.

cos(angle) = 12/13 = 0.923076923...

angle = 22.61986495...°

so, B is the right answer.

25.

we have a right-angled triangle.

from the point in the ground, where the ladder starts, to the point on the wall, where the ladder ends, and the point on the ground right under the wall point.

at this ground point there is the right angle.

at the ladder ground point we have 70°.

so, the angle at ladder/wall point is

180 - 90 - 70 = 20°.

remember, the sum of all angles in a triangle is always 180°.

the ladder itself (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle).

the height of the ladder/wall point is one leg (and what we need to calculate), and the ground distance from the ladder/ground point to the point right under the ladder/wall point is the second leg.

we can use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being always opposite of the associated angles.

so, we have

20/sin(90) = 20/1 = 20 = height/sin(70)

height = 20×sin(70) = 18.79385242... ft

so, D is the right answer.

0.10100100010000 and 0.110100100010000 are two irrational numbers between 0.1 and 0.12.

Step-by-step explanation:

=> greater than 0.1 and smaller than 0.12

You can also choose any other numbers too.

Irrational Number :

Answer:

The answer is Graph C.

Step-by-step explanation:

Both the equation of each other are the same in Graph C..

Answer:

B. Graph C

The lines are together, so every point they pass is a solution

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

Answer:

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Step-by-step explanation:

Answer:

3 gallons of paint

Step-by-step explanation:

Steps you have to take,

Formula:

[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]

[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑

door = 30in by 6ft

30in to feet =  2.5 feet

[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]

[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]

[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]

[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]

396(2) =

792sq ft

We know that one gallon covers 350sq ft

792/350 =

2.26 gallons

(can't have .26 of a gallon so we round up)

Answer:

w represents the width

w + 2 represents the length

2(w + w +2) = 76     formula for perimeter

w + w + 2 = 38        divide both sides by 2

2w + 2 = 38             combine like terms

2w = 36                    subtract 2 from both sides

w = 18                      divide both sides by 2

Answer:

32000000

Step-by-step explanation:

3.2 x 10 = 32

you will have 10^6 left

32 x 10^6 = 32000000

just add 6 zeroes

Answer:

32, 000, 000.

Step-by-step explanation:

3.2 x 10^7      <======= move the decimal 7 places to the right

32,000,000.

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 63.5, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternative hypotheses, it is tested if the mean is less than 63.5, that is:

[tex]H_1: \mu < 63.5[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 56.3, \mu = 63.5, s = 13.2, n = 62[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{56.3 - 63.5}{\frac{13.2}{\sqrt{62}}}[/tex]

t = -4.29.

We have a left-tailed test, as we are testing if the mean is less than a value, with 62 - 1 = 61 df and t = -4.29. Hence, using a t-distribution calculator, the p-value is of 0.

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Answer:

The answer is 1/24

Step-by-step explanation:

1stepout of the 12 is the 5th so 1/12 and divid by 2 because you want it to land on heads.

Answer:2/3 < 3/4

Step-by-step explanation: 3/4 is greater than 2/3.

Answer:

a) [tex]x = 9[/tex]

b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]

Step-by-step explanation:

Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:

[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]

Now plug in x for both of the formulas to get their angles:

[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]

The mean hotel room rate based on the reported room rates paid by business travelers in 2003 by the Dow Jones Travel Index is $159.05.

The mean is the average of a set of data or numbers.

It is a typical value that averagely represents the dataset.

The mean can be computed by dividing the total by the number of data values.

Atlanta                     $163

Minneapolis            $125

Boston                       177

New Orleans            167

Chicago                    166

New York                245

Cleveland                126

Orlando                    146

Dallas                       123

Phoenix                   139

Denver                    120

Pittsburgh               134

Detroit                     144

San Francisco         167

Houston                  173

Seattle                    162

Los Angeles           160

St. Louis                 145

Miami                     192

Washington, D.C. 207

Total = $3,181

Mean = $159.05 ($3,181/20)

What is the mean hotel room rate?

Thus, the mean hotel room rate based on the reported room rates paid by business travelers in 2003 by the Dow Jones Travel Index is $159.05.

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Answer:

jump equation

bu multiplying by a conjugate

Answer:

Yes, it is.

Step-by-step explanation:

The function x² = -y - 2 is a quadratic function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

The function is x² = -y - 2

Rearranging the function:

y = x² - 2

A quadratic function is always of the form:

y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.

We can write y = x² - 2 as:

y = x² + 0(x) - 2, here a = 1, b = 0, c = -2

Hence, the function x² = -y - 2 is a quadratic function.

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