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We will consider the price of the truck to be $x

And the amount of tax in the percentage would be 13%

13/100

= $ 0.13x (this is the actual amount of the tax)

Now we will calculate the total price of the truck =

$x + $ 0.13x

= $ x(1 + 0.13)

If there is any confusion please leave a comment below.

Answer:

33.

Step-by-step explanation:

What does the check time part mean?

Therefore, the point (v, w) = (x, y) = (6, 15)

The diagram above has two graphs (ABC and DE) intercepting at a point, (v, w).

To find the interception point (v, w), we need to first find the equations of each graph, with ABC being a parabola and DE, a straight line.

Since ABC is a parabola and the vertex is given, the standard vertex form of a parabola is given by:

y = a(x – h)2 + k ----------- eqn(1)

where (h, k) is the vertex of the parabola (the vertex is the point where the parabola changes direction) and "a" is a constant that tells whether the parabola opens up or down (negative indicates downward and positive indicates upward).

Given vertex (4, 19), eqn(1) becomes:

y = a(x - 4)2 + 19 -------------- eqn(2)

Since the parabola passes through point (0, 3), that is, x = 0 and y = 3,

we substitute the value of x and y into eqn(2) to find the value of "a"

3 = a(0 - 4)2 + 19

3 = a(-4)2 + 19

3 = 16a + 19

16a = 3 - 19

16a = -16

a = -1

Thus, eqn(2) becomes:

y = -(x - 4)2 + 19 ------------- eqn(3)

Next, we find the equation of DE (straight line).

Since DE is a straight line and the general form of straight-line equation is given by:

y = mx + c ------------------ eqn(4)

where m is the slope and c is the point at which the graph intercepts the y-axis.

c = -9

m = (y2 - y1) / (x2 - x1)

At points (0, -9) and (2, -1)

x1 = 0

x2 = 2

y1 = -9

y2 = -1

m = (-1 - (-9)) / (2 - 0)

= (-1 + 9)/2

= 8/2

m = 4

Substitute the values of m and c into eqn(4)

y = 4x - 9 ---------------- eqn(5)

Since point (v, w) is the point where both graphs meet,

eqn(3) = eqn(5)

-(x - 4)2 + 19 = 4x - 9

-[(x - 4)(x - 4)] + 19 = 4x - 9

-(x2 - 8x + 16) + 19 = 4x - 9

-x2 + 8x - 16 + 19 = 4x - 9

-x2 + 8x - 4x - 16 + 19 + 9 = 0

-x2 + 4x + 12 = 0

multiply through with -1

x2 - 4x - 12 = 0 ----------- eqn(6)

The above is a quadratic equation and can be simplified either by factorization, completing the square, or quadratic formula method.

Using the factorization method,

product of roots = -12

sum of roots = -4

Next, find two numbers whose sum is equal to the sum of roots (-4) and whose product is equal to the product of roots (-12)

Let the two numbers be 2 and -6

Replace the sum of roots (-4) in eqn(6) with the two numbers

x2 - 6x + 2x - 12 = 0

Group into two terms

(x2 - 6x) + (2x - 12) = 0

factorize each term

x(x - 6) + 2(x - 6) = 0

Pick and group the two values outside each bracket and inside one of the brackets

(x + 2) (x - 6) = 0

x + 2 = 0 and x - 6 = 0

x = -2 and x = 6

Since the point, (v, w) is on the right side of the y-axis, it follows that x cannot be –2. Therefore, x = 6.

substitute the value of x into eqn(5)

y = 4(6) - 9

y = 24 - 9

y = 15

Therefore, the point (v, w) = (x, y) = (6, 15)

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Phillip mixing 8 oz of Raisins 8 oz of sunflower seeds 12 ounces of almond and 12 oz of dried fruit for a recipe, therefore:

8 oz + 8oz + 12oz + 12oz = 40oz

Let's make a conversion:

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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The range is 75, variance is 607.70 and standard deviation is 24.65

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Given is a data set :- 23 53 67 61 66 91 27 85 98 44 73,

We need to find the range, variance, and standard deviation for the given sample data.

Range :-

Range = the difference between the highest and lowest numbers

Highest = 98

Lowest = 23

Range = 98 - 23 = 75

Mean :-

The mean of the data is calculated by the sum of all data is divided by the total number of data =

23+53+67+61+66+91+27+85+98+44+73 / 11 = 62.54

Variance :-

Variance is calculated by formula:

σ² = (xi-mean)² / n-1

σ² = (23-62.54)²+(53-62.54)²+(67-62.54)²+(61-62.54)²+(91-62.54)²+(66-62.54)²+(27-62.54)²+(85-62.54)²+(98-62.54)²+(44-62.54)²+(77-62.54)² / 10

= 1563.4+91.0116+19.9+2.37+809.98+11.97+1263.09+504.45+1257.41+343.73+209.09 / 10

σ² = 607.70

The standard deviation, we take the variance and get the square root of it :-

σ = √607.70

σ = 24.65

Hence, the range is 75, variance is 607.70 and standard deviation is 24.65

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

70

Step-by-step explanation:

The missing measures in triangle STU are given as follows:

ST = 9.

TU = 12.

m < S = 70º.

m < T = 46º.

m < R = 64º.

Similar triangles are triangles that share these two features presented as follows:

Congruent angle measures.

Proportional side lengths.

For the angle measures, we have that:

Equivalent sides have the same angle measures.

The missing angle measure is of:

m ∠ R = (180 - 70 + 46)

          = 64º.

By sum of the measures of the internal angles of a triangle is of 180º.

The proportional relationship for the side lengths of the triangle is given as follows:

6/14 = ST/21 = TU/28.

Then the length ST is given as follows:

14ST = 21 x 6

ST = 1.5 x 6

ST = 9.

The length TU is given as follows:

14TU = 28 x 6

TU = 2 x 6

TU = 12.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The solution of the system of equations is at point P(6, -1) which is shown in the diagram given below.

To find the solution of a system of equations graphically, plot the equations on the same graph, and identify the point where the two lines intersect, which represents the solution to the system of equations.

In the diagram attached below, the red line represents line s with the equation y = 1/3x - 3, while the blue line represents line t with the equation y = -x + 5.

Point P, which is the solution is: (6, -1).

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Answer:

csc 270° is the answer.

Answer:

The central angle measure of the sector in radians is \(\theta=\frac{13}{9}\).

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.

The area of a sector when the central angle is in radians is given by

                                                    \(A=(\frac{\theta}{2})\cdot r^2\)

where

r = radius

θ = central angle in radians

We know that the area of the sector is \(26 \:cm^2\) and the radius is 6 cm. Applying the above formula and solving for the central angle (\(\theta\)) we get that

                                                   \(26=(\frac{\theta}{2})\cdot (6)^2\\\\\left(\frac{\theta}{2}\right)\left(6\right)^2=26\\\\\frac{\frac{\theta}{2}\cdot \:6^2}{36}=\frac{26}{36}\\\\\frac{\theta}{2}=\frac{13}{18}\\\\\theta=\frac{13}{9}\)

Answer: 16

Step-by-step explanation:

Answer:

The Jews have one.

Step-by-step explanation:

The amount earned per an hour is -5/2.

An expression is combination of variables, numbers and operators.

Given that , Leah worked h hours mowing lawns.

Leah worked 5 hours more walking dogs than mowing lawns

Leah earned the same amount of money per hour for each job. The expression 24h+60 represents the total amount of money she earned last week.

We have to find the amount earned per an hour.

24h=-60

Divide both sides by 24

h=-5/2

Hence, the amount earned per an hour is -5/2.

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Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

Answer:

He got 14 right

Step-by-step explanation:

Percent means out of 100

70% means 70/100

We know there were 20 questions

We can write a ratio

70/100 = x /20

Using cross products

70*20 = 100x

1400 = 100x

Divide by 100 on each side

1400/100 = 100x/100

14 =x

He got 14 right

Answer:

I believe he got 14 right and 6 wrong

Step-by-step explanation:

if 10% is 2 questions each question is worth 5 points to make up of 100 (100 divided by 20 = 5) and there are 100 points in the quiz then every 2 right would be 10% count until you get 70% and you got your answer :) please mark brainliest and have a good day

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Three shapes:

shape 1&2 = rectangle

shape 3 = triangle

shape 1: 5 x 7 = 35

shape 2: 10 x 6 = 60

shape 3 = 1/2 x 15 x 16 = 120

total area = 35 + 60 + 120 = 215

Answer:

3.2

Step-by-step explanation:

5.9 - 2.7 = 3.2

**difference means subtract**

The difference is between 2.7 and 5.9 on a number line.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

Any directed number's location can be determined using a number line. There are positive and negative axes in it.

We have to determine the difference between 2.7 and 5.9 on a number line.

⇒ 5.9 - 2.7

Apply the subtraction operation between 2.7 and 5.9, and we get

⇒ 3.2

Therefore, the difference is between 2.7 and 5.9 on a number line.

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Answer:

Only option A is correct

Step-by-step explanation:

Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.

Hope this helps :D

Answer:

C

Step-by-step explanation:

\((3a^2b^7)(5a^3b^8)\)

\(= 15a^5b^{15}\)

I would appreciate it if you mark my answer as brainliest.

Step-by-step explanation:

when multiplying terms of the same base, we simply add the exponents.

(3a²b⁷)(5a³b⁸) =

= 3×5×a²a³b7b⁸ = 15a⁵b¹⁵

Therefore, using the rule of 72, it would take approximately 9 years for Sofia's $18,000 investment to double at a rate of 8% in interest.

Percent is a term used to describe a value that is a fraction of 100. It is often represented by the symbol "%".  Percentages are commonly used to express rates, ratios, and proportions in many fields, including finance, science, and everyday life. They are often used to describe changes in value, such as increases or decreases in prices, population, or other quantities over time.

Here,

The rule of 72 is a simple formula used to estimate the time it takes for an investment to double in value based on its rate of return. To use this rule, divide 72 by the annual percentage yield (APY) to get an estimate of the number of years it would take for the investment to double.

In this case, the APY is 8%, so we can apply the rule of 72 as follows:

Number of years to double = 72 / APY

= 72 / 8

= 9 years

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a)  The number of units that produces maximum profit is q = 12.

b) The price per unit that produces maximum profit is p = $39.

c)  The maximum profit is P = $386.

What is profit?

a) To find the number of units that produces maximum profit, we need to find the point where revenue equals cost. The revenue function is given by:

R(q) = pq = (63-2q)q = 63q - 2q²

The cost function is given by:

C(q) = 70 + 15q

The profit function is given by:

P(q) = R(q) - C(q) = (63q - 2q²) - (70 + 15q) = -2q² + 48q - 70

To find the number of units that produces maximum profit, we take the derivative of the profit function with respect to q, and set it equal to zero:

P'(q) = -4q + 48 = 0

Solving for q, we get:

q = 12

Therefore, the number of units that produces maximum profit is q = 12.

b) To find the price per unit that produces maximum profit, we substitute q = 12 into the price function:

p = 63 - 2q = 63 - 2(12) = 39

Therefore, the price per unit that produces maximum profit is p = $39.

c) To find the maximum profit, we substitute q = 12 and p = 39 into the profit function:

P = -2q² + 48q - 70 = -2(12)² + 48(12) - 70 = $386

Therefore, the maximum profit is P = $386.

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Answer:

the answer is 5 and u know the rest

Answer:

j= 15k−27/2

Step-by-step explanation: