Tanner saved $350 this summer. He plans to spend some of the money on art supplies and some on video games.


Let v represent the money, in dollars, Tanner plans to spend on video games. Which inequality models the story?


v > 350________ v ≤ 350______ v <350________ v ≥ 350

Answer:

Step-by-step explanation:

the answer in standard form is 2c^4+6c^2-c

1. The measure of AC = 8.4

2. The measure of AC' = 6

3. The measure of C'B' = 12.6

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

Segment B'C' is parallel to segment BC.

A line splits a triangle's sides in the same proportion if it runs parallel to one side and crosses the other sides at two different spots.

Then,

10/4 = 6/x

x = 2.4

The measure of AC = 2.4

And,

14/8.4 = 21/y

y = 12.6

The measure of C'B' = 12.6

Therefore, all the required values are given above.

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The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.

These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.

Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.

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Complete Question:

Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.

Slope = -4/5

Jeremiah looses money every time he buys a ticket

hope this helped a little

Answer:

2

Step-by-step explanation:

10a² : 5a² = 10 : 5 = 2

Answer: \(\large\boxed{\text{B. Complementary}}\)

Step-by-step explanation:

Given information

\(\angle A=52^\circ\)

\(\angle B=38^\circ\)

Given answer choices

\(\text{A. Congruent: means that the two angles have equal measurements}\)

\(\text{B. Complementary: means that the angles add up to 90}^\circ\)

\(\text{C. Supplementary: means that the angles add up to 180}^\circ\)

\(\text{D. Vertical: are formed when two lines intersect each other at a point, which }\)

    \(\text{means the two angles are equal in measurement.}\)

Eliminate choices A and D

\(\text{The two angles }\angle A \text{ and }\angle B \text{ are not equal in measurement}\)

\(\text{Therefore, they are neither congruent nor vertical}\)

Add the two angles up

\(\angle A+\angle B=(52)+(38)=90^\circ\)

Conclusion

\(\text{As given in the answer choice, complementary angles add up to 90}^\circ\)

\(\text{Therefore, }\angle A \text{ and } \angle B \text{ are }\large\boxed{\text{Complementary}}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

21:14:8

Step-by-step explanation:

X:Y=3:2

Y:Z=7:4

X:Y=21:14

Y:Z=14:8

X:Y:Z=21:14:8

I'm not sure about questions 7-10 tho, very sorry

Step-by-step explanation:

11) 5/7

12) 1/4

13) 7/10

14) 3/4

15) 2/9

16) 2/5

17) 13/30

18) 27/50

19) 5/16

20) 4/15

21) 1/24

22) 7/12

23) 1/20

24) 8/15

25) 11/45

Given:

To express v in terms of d, g, t, and c, take the following steps:

Step 1:

Subtract c from both sides

Step 2:

Divide through by t:

Step 3:

Add gt to both sides

Therefore, the expression of v in terms of d, g, and c is:

ANSWER:

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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Answer:

n = 5

Step-by-step explanation:

Given

5n + 20n = 5(n + 20), that is

25n = 5(n + 20) ← divide both sides by 5

5n = n + 20 ( subtract n from both sides )

4n = 20 ( divide both sides by 4 )

n = 5

Answer:

hope it will help u in understanding

The account balance in seven years will be $9,382.32.

Balance in math is the idea of equal parts on either side of a given equation. The concept of balance is used in algebraic equations and inequalities where the two sides of the equation must be equal in order for the equation to be true. Balance is an important concept to learn in math, as it is used to solve many problems. Balance can also be used in geometry to understand symmetry and shapes, as well as in calculus to understand derivatives and integrals. Balance is a fundamental concept in math that can be used in a variety of ways.

This can be calculated by multiplying the initial deposit of $850 by (1 + 0.029/12)^84, which is equal to 9,382.3198.

After rounding to the nearest hundredths place, the answer is $9,382.32.

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Answer:

$1,041.06

Step-by-step explanation:

Got it right.

It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.

What is Standard deviation?

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

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Answer:

C: (12,4)

Step-by-step explanation:

We can find the slope of the line with "rise over run"

The pattern is 1 unit up, 3 units to the right

By following this pattern from point (9,3),

we go 1 unit up on the y axis, moving (9,3) to (9,4)

Next we move 3 units right on the x-axis,

moving (9,4) to (12,4)

Answer is (12,4)

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

By using distributive property 15(3 + 8) 15 11 = 165 both approaches yield the same conclusion.

Distrubutive Property Formula : a(b+c)=a b+a c

The distributive property is also known as the distributive law of multiplication over addition and subtraction. By its very name, the procedure implies that something will be divided or distributed.  According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. Subtraction also belongs to the scope of this distributive law, which is expressed as A (B - C) = AB - AC. The distribution of operand A among the other two operands is seen from this.

A (B + C) = AB + AC represents the distributive property of multiplication over addition.

15(3+8) = (15.3) + (15.8)

15.11 = 45 + 120

165 = 165

Using the law of BODMAS, we can now attempt to solve the expression. The solution is as follows. We will first add the figures in brackets, and then we will multiply this total by the figure outside of the brackets.

Hence, using distributive property, it follows that 15(3 + 8) x 15 = 165. As a result, both approaches yield the same conclusion.

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Note that the equation in terms of y, volume of air in a person's lungs in mL and t, in seconds, to represent the given context is y = 800 cos (π/2 t) + 1600.

We know that

The function depicted in the graph exhibits a periodic nature, characterized by its oscillation between two extreme points.

The time period of the function is derived as T = 4 seconds,

Given that each complete oscillation occurs between one crest and the subsequent crest or from one through and the subsequent through.

The midline of this function is y = 1300 mL, which denotes its average value.

Furthermore, the amplitude of this function equals half the distance between both extreme values, equivalent to A = 800mL. Given that the function has a period of 4 seconds and that its first crest is located at (3.5, 2600), it follows that we may represent this function with an equation expressed as:

y = A Sin (2π/T ( t-  c)) + 1300

Where:

A = 800

T = 4

3.5, 2600 is a crest

Thus,

1000 = -A + 1300

A = 300

Solving for A, we get

c =3.5 - T/4 = 0.5

replacing those values, we have:

y = 800 sin (π/2 (t - 0.5)) + 1300

This can be simplified further to read

y = 800 cos (π/2 t) + 1300.

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Answer:

It is a number 10 thank u very much ok ok

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

The series converges on the interval from 7 inclusive to 9 exclusive.

To find the radius of convergence, we use the ratio test:

So the series converges absolutely if |x - 8| < 1, and diverges if |x - 8| > 1. Therefore, the radius of convergence is R = 1.

To find the interval of convergence, we need to test the endpoints x = 7 and x = 9:

When x = 7, the series becomes:

[infinity] (-1)ⁿ (n+9) / (n+1)

n = 0

which is an alternating series that satisfies the conditions of the alternating series test. Therefore, it converges.

When x = 9, the series becomes:

[infinity] 1 / (n+1)

n = 0

which is a p-series with p = 1, which diverges.

Therefore, the interval of convergence is [7, 9).

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An equation that shows the relationship between the two angle measure is 3x + 2 = 180 and the value of x is 59.

Let us consider the two supplementary angles with measures (x + 1) and (2x + 1). Since they are supplementary angles, we know that their sum is equal to 180 degrees. We can write this relationship between the two angle measures as an equation:

(x + 1) + (2x + 1) = 180

Simplifying this equation, we get:

3x + 2 = 180

Now, we can solve for x by isolating it on one side of the equation. To do this, we can subtract 2 from both sides of the equation:

3x = 178

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 59.33

Therefore, we should round the value of x to the nearest whole number, which is 59.

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Answer:

x = -4,-2

Step-by-step explanation:

x² + 6x + 8 = 0

Factor the equation

(x+4)(x+2) =0

Using the zero product property

x+4 =0   x+2 =0

x=-4  x=-2

x = -4,-2

Answer:

\( \sf \: x = - 2 \: \: or \: \: - 4\)

Step-by-step explanation:

\( \sf {x}^{2} + 6x + 8 = 0\)

Factorise.

\( \sf {x}^{2} + 6x + 8 = 0 \\ \sf {x}^{2} + 4x + 2x + 8 = 0\)

\( \sf x(x + 4) + 2(x + 4) = 0 \\ \sf(x + 2)(x + 4) = 0\)

Use the zero product property.

\( \sf \: x + 2 = 0 \\ \sf \: x = 0 - 2 \\ \sf x = - 2\)

Or

\( \sf \: x +4 = 0 \\ \sf \: x = 0 - 4 \\ \sf \: x = - 4\)

Therefore,

\( \sf \: x = - 2 \: or \: \: - 4\)

Find the distance from P to l.

Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)

Find the slope of line l

we have the points (0, -3) and (7,4)

m=(4+3)/(7-0)

m=7/7

m=1

Find the equation of the line perpendicular to the line l that passes through the point P

REmember that

If two lines are perpendicular, then the product of their slopes is equal to -1

therefore

the slope of the perpendicular line is

m=-1

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=P(4,3)

substitute

y-3=-1(x-4)

y-3=-x+4

y=-x+7

Find the equation of the line l

we have

m=1 (see the step 1)

and we have the point (0,-3) -----> y-intercept

so

the equation of the line l is

y=x-3

Find the intersection point line l and its perpendicular line

y=x-3 ------> equation A

y=-x+7 -----> equation B

solve the system of equations

Adds equation A and equation B

2y=-3+7

2y=4

y=2

Find the value of x

substitute in equation A

2=x-3

x=2+3

x=5

therefore

the intersection poin is (5,2)

Find the distance between point (5,2) and point P(4,3)

Remember that, this distance is the distance from P to l.

the formula to calculate the distance between two points is equal to

we have

(x1,y1)=(5,2)

(x2,y2)=(4,3)

substitute in the formula

therefore

teh answer is

Step-by-step explanation:

The right triangle has a 90-inch perimeter.

A right triangle is one with a 90 degree inner angle. Its longest side is the hypotenuse, which is also the side of the right triangle that faces the right angle. The two arms of a right angle are made up of height and base.

To get the length of the other right triangle leg, let's apply the Pythagorean theorem: a2 + b2 = c2, where c is the hypotenuse and a and b are the triangle's legs.

We are aware that c = 41 inches and, let's say, a = 40 inches for one of the legs. Hence, we may find b:

40² + b² = 41²

1600 + b² = 1681

b² = 1681 - 1600

b² = 81

b = √81

b = 9

Hence, the other leg is 9 inches long.

We can now determine the triangle's perimeter:

Perimeter = a + b + c

Perimeter = 40 + 9 + 41

Perimeter = 90 inches

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64