sum1 please help me!
The next model of a sports car will cost 11.9% more than the current model. The current model costs $56,000. How much will the price increase in dollars? What will be the price of the next model?

Increase in price:

Price of next model:

Answer:

2√97

Step-by-step explanation:

BD² = BC² + DC²

⇒ BD = √BC² + DC²

= √(18)² + (8)²

= √324 + 64

= √388

Rewrite 388 as 2² · 97.

Factor 4 out of 388.

√4(97)

Rewrite 4 as 2².

√2² · 97

Pull terms out from under the radical.

2√97

The result can be shown in multiple forms.

Exact Form:

2√97

Decimal Form:

19.69771560...

Using the normal distribution, it is found that the desired measures are given by:

a. Z = -0.67.

b. X = 2.2.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 40}{6}[/tex]

Z = -0.67.

In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]

X - 1.3 = 0.6 x 1.5

X = 2.2.

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Answer:

The A graph applies to the first and fourth statement

The B graph applies to the second and third statement

The number of ducks in a pond increasing is a 100% bar with an extra 40% added to it (looks like graph A from the previous question)

The number of mosquitos decreasing by 80% is a bar within the already existing 100% (looks like graph B from the previous question)

Step-by-step explanation:

none further needed

Answer:

448m^3

Step-by-step explanation:

volume of pyramid  = 1/3*area of base * perpendicular height

12*16=192m^2

1/3*192*7=448m^3

Step-by-step explanation:

problem 1.

1. 6y = 30

2. y = 5

3. 3x + 2(5) = 16

4. 3x+10=16

5. 3x=6

6. x=2

solution: (2,5)

problem 2.

1. x=7

2. 4(2)-2y=18

3. 28-2y=18

4. -2y= -10

5. y=5

solution (7,5)

problem 3

10x=10

x=1

7(1) +y =-2

y=-9

(1,9)

problem 4

0= -6

no solution

problem 5

0=0

Infinite many

Answer:

FIND IT YOURSELF

Step-by-step explanation:

YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.

The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π

Given that the circle has a center P

It means that lengths PQ, PR, PS and PT

From the question, we understand that QR = ST.

This implies that triangles QRP and STP are congruent.

i.e.  △QRP ≅ △STP is true

The given parameters are:

Angle, Ф = 99

Radius, r = 1

The length of the arc is:

L = Ф/360 * 2πr

So, we have:

L = 99/360 * 2π * 1

Evaluate

L = 198/360π

Divide

L = 11/20π

Hence, the length of the minor arc is 11/20π

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Answer:

9.435

Step-by-step explanation:

Answer:

75 more girls.

Explanation:-

Given:- Ratio of girls to boys = 5:3

And, the number of boys= 300

Let boys be 4x and girls be 5x

So, 4x = 300 (Given)

x = 300/4 = 75

Thus number of girls:- 5x = 5×75= 375 girls

now you take the 375 girls minus the 300 boys.

375-300 = 75 Girls more

~~~~-Hope this helped-~~~~

Answer:

$73.80

Step-by-step explanation:

First we will find Kevin's hourly wage. We can do this by dividing his total pay by the number of hours he worked.

$492 / 20 hours = $24.60/hour

Now we can find how much he will make the next week.

$24.60/hour * 3 hours = $73.80.

That is your answer

- Kan Academy Advance

Answer: C

Step-by-step explanation:

Answer:

Form: (x+5)^2 = 2

Solution: -6.41, -3.59

Answer:

A layer of granite

Step-by-step explanation:

This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.

The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

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

Since, We get;

An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.

After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.

Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.

In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.

Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

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Answer:

Looking at the problem we come across one issue where we have two minus signs.  However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1.  Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13.  Now we just combine and we get 6.

Answer:

6

Step-by-step explanation:

[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]

Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²

Surface area of a rectangular prism = 2(wl+hl+hw)

Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together

Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²

Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²

Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²

Surface area of the composite shape = (102 + 72) - 12 = 162m²

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Answer:

its c

Step-by-step explanation:

i took the test

Perpendicular Line: y = 3x - 10

[tex]\sf {Given:} \ y = -\dfrac{1}{3} x-4[/tex]

Comparing it with slope intercept formula:  [tex]\bf y = mx + b[/tex]

Identify the slope for this particular function:

[tex]\star \ \ \sf slope = -\dfrac{1}{3}[/tex]

Now given that the line passes perpendicularly, then the slope shall be negatively inverse of the parallel slope.

[tex]\implies \sf \ perpendicular \ slope : \ -(\dfrac{1}{m} ) \ = \ -(\dfrac{1}{-1/3} ) \ = \ 3[/tex]

Now, find the equation:

[tex]y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points[/tex]     given points : (6, 8)

equation:

[tex]\rightarrow \sf y - 8 = 3(x-6)[/tex]

[tex]\rightarrow \sf y = 3x-18+8[/tex]

[tex]\rightarrow \sf y = 3x-10[/tex]

On comparing to y=mX+b

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line

Equation in point slope form

Answer:

(x-3)*(4x+1)

Step-by-step explanation:

Factoring  4x2-11x-3

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -11x  its coefficient is  -11 .

The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   4 • -3 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -11 .

     -12    +    1    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  1

                    4x2 - 12x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   4x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (4x+1)  •  (x-3)

            Which is the desired factorization

Final result :

 (x - 3) • (4x + 1)

Answer:

[tex](4x+1)(x-3)[/tex]

Step-by-step explanation:

[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]

Hope this helps

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

Rational numbers are real numbers of the form n/m, where n, m ∈ [tex]\mathbb{Z}[/tex] and n ≠ 0. Rational numbers are in lowest terms whether they cannot be reduced. A rational number is simplified by applying the following property:

[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]     (1)

Where c is the common multiplier.

Now we proceed to simplify the given rational number, whose common multiplier is 2:

[tex]\frac{14}{16} = \frac{7}{8}[/tex]

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

The statement is poorly formatted: Write 14/16 in lowest terms.

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at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.

the vertex is then at (-3, 5) which narrows down the answer to F.

Answer:

it's orange

Step-by-step explanation:

because black is (x-<+17)

and yellow is 61 that means that y =orange

The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.

An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.

Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.

In this instance, we can infer and logically deduce that an experimental study was performed.

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By evaluating the function in j = 1, we conclude that each bottle costs 80 cents.

We know that the total cost in dollars can be represented by the linear equation:

C(j) = 0.8*j

Where C is the cost, and j is the number of juice bottles bought.

Then to get the cost of each bottle, we can evaluate the function in 1, which means buying only one.

C(1) = 0.8*1 = 0.8

So each bottle costs $0.80 (or 80 cents).

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Answer: The mean is 24, and the median is 26.5 .

Step-by-step explanation: To find the mean, one must add all the numbers in a set of data and divide it by the amount of numbers added. To find the median, one must line the numbers in a set of data from biggest to smallest. The number in the middle is the median. If the amount of numbers in the set are even, resulting in no middle, the two numbers closest to the middle are added and then divided by two. The resulting number is the median. In this case I had to add and divide.

Answer:

Total Ratio = 2+4

=6

Striped blankets = 2/6 × 12

= 4 Striped Blankets

Step-by-step explanation:

Can't really explain

Answer:

B - 183 cm3

Step-by-step explanation:

volume of a cone is 1/3 x pi x r^2 x H

Answer:Your answer is going to be D

Step-by-step explanation:

1/3 x 3.14 x 10^2 x 7 =732.66

Answer:

x = 50

Step-by-step explanation:

∠ BAC and 135° are adjacent angles and sum to 180° , then

∠ BAC = 180° - 135° = 45°

∠ BCA = 180° - 45° - 85° = 180° - 130° = 50° ( sum of angles in triangle )

x and ∠ BCA are alternate angles and are congruent , then

x = 50

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.