You work full-time and make $17 per hour. What is your gross annual income?
27
$8160

$680
$35,360


$36,720

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Answer:

-100-4√5

Step-by-step explanation:

Given the polynomial expression

p(x) = x³+x²+√5x + √5

p(-5) = (-5)³+(-5)² + √5(-5) + √5

p(-5) = -125 + 25 -5√5 + √5

p(-5) = -100-4√5

This gives the required answer

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

The value of solution of the equation is,

⇒ No real solution

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3x² = - 12

Now, We can simplify as;

⇒ 3x² = - 12

Divide by 3;

⇒ x² = - 12/3

⇒ x² = - 4

⇒ x = √- 4

⇒ x = 2i

Thus, The value of solution of the equation is,

⇒ No real solution

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Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

Answer:

400

Hope this helps

Have a good day :)

Step-by-step explanation:

Answer:

[tex]m\widehat{VU}=120^{\circ}[/tex]

Step-by-step explanation:

The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:

[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]

Answer:

Step-by-step explanation:

The ratio of the areas of the bases:

This is a square of the scale factor:

The scale factor is:

The ratio of the volumes is the cube of the scale factor:

Correct choice is D

ratio of areas

Ratio of sides

Ratio of volumes

Option D

Answer:

c. 137°

Step-by-step explanation:

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]

Angle ∠BCE = x = 136.

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

Answer:

look at the picture I have sent

To solve this problem, we simply need to plot the cosine graph.

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

is option A.

Comparing the asymptotes together, it reveals more information on that.

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Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

Answer:

Step-by-step explanation:

Are we suppose to solve for something or what there are no instructions

Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4[tex]\sqrt{2}[/tex] )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Then the third side is 7

Answer:

The slope is 2 and the y intercept is (0, -4)

Step-by-step explanation:

Put the line in slope intercept form, y = mx + b, where m is the slope and b is the y intercept.

4x - 2y = 8

Subtract 4x from both sides

4x - 2y = 8

-2y = -4x + 8

Divide each side by -2

y = 2x - 4

So, the equation in slope intercept form is y = 2x - 4.

The slope is 2 and the y intercept is (0, -4)

Answer:

b answer is correct answer

Answer:

V = 628.4

Step-by-step explanation:

The formula for finding the volume of a square pyramid is V = [tex]a^2 \frac{h}{3}[/tex].

a = base

h = height

V = [tex]11.1^2 (\frac{15.3}{3})[/tex].

V = 628.371

V = 628.4

Answer:

56.6

Step-by-step explanation:

Answer:

Equation: 25.50x ≤ 200

7 video games

Step-by-step explanation:

25.50x ≤ 200

S would be the number of video games

25.50x ≤ 200           Divide both sides by 25.50 to isolate x

x ≤ 7.8...                    

Since he can't buy a fraction of a game, round 7.8 down to get 7 video games

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Answer:

A: 40%

B: 75%

C: 90%

Step-by-step explanation:

Answer:

A=40%

b=75%

c=90%

PART 2

605 is the 6th tick mark

.15 is halfway between the first and second tick mark