What will a scale factor greater than 1 will make a shape?

Answer:

D. 66

Step-by-step explanation:

In a straight line, it is always 180°

180° - 115° = 66°

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

If the price of the dream car will increase at an annual rate of 1.7 percent, it will cost about $62,232.25 after 7 years.

To find the future cost of the dream car in 7 years, we can use the formula for compound interest.

The formula for compound interest is given:

A = P (1 + r/n)^nt

Where:

A = amount of money after n years

P = principal (initial) amount of money

r = annual interest rate

t = number of years

n = number of times interest is compounded per year

Given that the dream car costs $52,300 today and it will increase at an annual rate of 1.7%, we can find the future cost of the car in 7 years as follows:

P = $52,300r = 1.7% = 0.017t = 7 years

n = 1 (annual compounding)

Using these values in the formula

A = $52,300 (1 + 0.017/1)^(1*7)

A = $52,300 (1.017)^7A ≈ $62,232.25

Therefore, the dream car will cost about $62,232.25 after 7 years.

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Answer:

387.5 grams

Step-by-step explanation:

0.04 ounces = 1 grams

15.5 ounces = x grams

Cross Multiply

0.04 ounces × x grams = 15.5 ounces × 1 grams

x = 15.5 /0.04

x = 387.5 grams

The weight, in grams, of a box of Fruit Rings is 387.5 grams

Answer:

the possible outcomes contain the same number of heads and tails are 70.

tell me if i am right

For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.

When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.

For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.

Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.

Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.

This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.

For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:

\(8! / (3!5!) = 56\)

So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.

In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.

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Answer:

4 pages

Step-by-step explanation:

Answer:

thanks for free points :3

Step-by-step explanation:

The probability of drawing 1 black pencil and 2 yellow pencils without replacement is 0.035714.

The probability of drawing 1 black pencil and 2 yellow pencils without replacement can be calculated by multiplying the individual probabilities of drawing each pencil.

The first step is to calculate the probability of drawing a black pencil which is 5/8. Then, the probability of drawing the first yellow pencil is 4/7 and the probability of drawing the second yellow pencil is 3/6.

To find the probability of drawing all three pencils, you multiply these three probabilities together:

5/8 × 4/7 × 3/6 = 0.035714.

This result represents the probability of drawing 1 black pencil and 2 yellow pencils in that order without replacement.

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The equation 1/(3x + 1) = 1/(x² - 3) does not have any real solutions.

To solve the given equation (1/3x + 1) = (1/x² - 3), we can start by multiplying both sides of the equation by 3x(x² - 3) to eliminate the denominators.

This gives us:

(1)(x² - 3) = (3x + 1)(3x)

Expanding and simplifying further, we have:

x² - 3 = 9x² + 3x

Rearranging the equation and combining like terms, we get:

8x² + 3x + 3 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. However, upon solving, it becomes apparent that this equation does not have any real solutions. The discriminant (b² - 4ac) is negative, indicating the absence of real roots.

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Answer:

slope:2

Step-by-step explanation:

Slope is rise/run, or change in y/change in x.

With that being said, we only need two points to solve this.

Let's take the points (0,7) and (1,9)

The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).

M is the slope.

y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.

x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.

Plugging those values in to the formula, we get m=(9-7)/(1-0)

Simplifying, we get m=2/1, which is m=2.

We have the next relation

then we need to clear x

the scale factor to have the bigger triangle from the smaller triangle is

for example

The equation y = -mC/2 + mx represents the orthogonal trajectory of the family of curves x^2 + y^2 = Cx, where m is the slope of the orthogonal trajectory and C is the constant.

To find the orthogonal trajectory of the family of curves given by the equation x^2 + y^2 = Cx, we can follow these steps:

Step 1: Differentiate the given equation implicitly with respect to x:

2x + 2yy' = C

Step 2: Solve the resulting equation for y':

y' = (C - 2x) / (2y)

Step 3: Determine the negative reciprocal of y' to obtain the slope of the orthogonal trajectory. Let m be the slope of the orthogonal trajectory, so we have:

m = -1 / y'

Step 4: Substitute y' = (C - 2x) / (2y) into the equation for m:

m = -1 / [(C - 2x) / (2y)]

m = -2y / (C - 2x)

Step 5: Rewrite the equation in terms of y and x:

-2y / (C - 2x) = m

-2y = m(C - 2x)

2y = -m(C - 2x)

Step 6: Simplify the equation:

2y = -mC + 2mx

Step 7: Rearrange the equation to obtain the equation for the orthogonal trajectory:

y = -mC/2 + mx

The equation y = -mC/2 + mx represents the orthogonal trajectory of the family of curves x^2 + y^2 = Cx, where m is the slope of the orthogonal trajectory and C is the constant.

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Answer:

\(1205.8 \: {in}^{3} \)

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

\(V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} \)

Isolate y from the equation:

Substitute x=10 to find the two possible values for y:

The aproximate values of y are:

To the nearest whole number, we can see that the second value of y is approximately -4.

Using translation concepts, the ordered pair that describes the location of W'' is: W''(-6,-4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a reflection over the y-axis is:

(x,y) -> (-x,y).

Hence:

W'(-6,4).

The rule for a reflection over the x-axis is:

(x,y) -> (x, -y).

Hence:

W''(-6,-4).

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Answer:

n=-6

Step-by-step explanation:

2(n+5)=-2

2n+10=-2 (distribute the 2)

2n=-12 (subtract 10 from left, add it to right)

n=-6

Answer:

No

Step-by-step explanation:

The x value 2 has two y values (2, -2) so it is not a function.

The cost of one knife will be 5.23 which is calculated by using the given information about knives and spoons.

From the given information in the question we can form two equations:

We will consider the variables representing the cost of spoons and knives as k and f respectively.

now we will build the equations to find out the relation between knives and spoons from the given information.

k = s + 3

As the cost of knives is three times more than spoons we add 3 to the cost of spoons

the other information given is about the sum of 9 spoons and 12 knives

which we will write as:

9s + 12k = 82.80

By substituting the first equation in the second equation we will get an equation containing only one variable which is easier to solve

9s + 12(s + 3) = 82.80

9s + 12s + 36 = 82.80

21s = 82.80 - 36

21s = 46.8

s = 46.8 / 21

s = 2.23

now by substituting the value of s in the first equation

k = s + 3

k= 2.23 + 3

k = 5.23

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Answer:  2.39

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Given:  \(\textsf{185/100 + 50\% + 4\%}\)

Find:  \(\textsf{Convert to simplified decimal}\)

Solution: In order combine the numbers together we must first convert all of them to a fraction.  The first number is already in fraction form, but the other ones are in a percent form.  What a percent value means is just a number out of 100 which we can use to change 50% to 50/100 and 4% to 4/100.

Now we have 185/100 + 50/100 + 4/100 which we can combine together to 239/100 to which we can use a calculator and figure out that the answer in decimal form would be 2.39

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{185}{100} + 50\% + 4\%}\\\\\mathsf{= \dfrac{185}{100} + \dfrac{50}{100} + \dfrac{4}{100}}\\\\\mathsf{= \dfrac{185\div 5}{100\div 5} + \dfrac{50\div50}{100\div50} + \dfrac{4\div4}{100\div4}}\\\\\mathsf{= \dfrac{37}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= 1\dfrac{17}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= \dfrac{47}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2 \dfrac{7}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2\dfrac{39}{100}}\\\\\mathsf{= \dfrac{239}{100}}\\\\\mathsf{\approx 2.39}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{239}{100}\ or\ 2.39}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

x=-7

Step-by-step explanation:

hope it helps

Answer:

x = 7

Step-by-step explanation:

4 (1 - x) + 2x = -3 (x + 1)

4 - 4x + 2x = -3x -3

4 - 2x = -3x - 3

  + 3x     + 3x

4 - x = -3

- 4       - 4

-x = -7

x = 7

Answer:

64

Step-by-step explanation:

Interestingly, finding the area is not as simple as 16(2)

Because it's the sides that are being mutiplied it's more like

16(2^2)

16*4

64

idek if that helps but here you go

Answer

Explanation

AB is parallel to CD and then, there's a transversal that cuts across the two lines. We are given that Angle 3 = 120°

But we ca see from the figure that Angle 3 and Angle 2 lie on the same straight line.

And we know that the sum of angle on a straight line is 180°.

Hence,

(Angle 3) + (Angle 2) = 180°

120° + Angle 2 = 180°

Angle 2 = 180° - 120°

Angle 2 = 60°

Then again, we can see that AAA

Answer:

7 - b > 8

Step-by-step explanation:

Answer:

10:4, 35:14, 55:22

Step-by-step explanation:

Answer:

hondred thosend

Step-by-step explanation:

Answer:

The place value is the hundred thousands place.

Step-by-step explanation:

<3

Answer:

5 and 12

Step-by-step explanation:

consider the factors of 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The only pair of factors which sum to 17 are 5 and 12

(a) The probability of obtaining two rods of the desired length is (100/200) * (99/199) = 0.495.

This can be found by using the formula for independent events:

P(A and B) = P(A) * P(B)

Since the two draws are of rods without replacement,

the probability of the first-rod being of the desired length = 100/200 (there are 100 desired-length rods out of a total of 200).

The probability of the second-rod being of the desired length = 99/199 (since one of the desired length rods has already been drawn). Multiplying these two probabilities gives us the answer.

(b)The probability of obtaining exactly one rod of the desired length

=(100/200) * (100/199) + (100/200) * (100/199)

= 0.990.

This can be found by using the formula for the union of two events: P(A or B) = P(A) + P(B).

Since the two draws are rods without replacement, the first draw has a probability of 100/200 of being of the desired length (there are 100 desired-length rods out of a total of 200).

The probability of the second draw being of the desired length is 100/199 (since one of the desired length rods has already been drawn). Adding these two probabilities gives us the answer.

(c) The probability of obtaining none of the desired length is (50/200) * (50/199) = 0.015.

This can be found by using the formula for independent events

: P(A and B) = P(A) * P(B).

Since the two draws are of rods without replacement, the probability of the first-rod being of the undersized length is 50/200 (there are 50 undersized rods out of a total of 200).

The probability of the second-rod being of the undersized length is 50/199 (since one of the undersized rods has already been drawn). Multiplying these two probabilities gives us the answer.

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