4.
During the last year the value of your house decreased by 30%. If the value of your
house is $224,000 today, what was the value of your house last year? Round your
answer to the nearest cent, if necessary.

9514 1404 393

Answer:

  -6, 2

Step-by-step explanation:

The x-intercepts are the values of x that make y = 0. The zero-product rule tells you that the product of the factors is zero when one of the factors is zero.

  x -2 = 0   ⇒   x = 2

  x +6 = 0   ⇒   x = -6

The x-intercepts are (-6, 0) and (2, 0).

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

A graph of what the proportional relationship would look like is: D. a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 21).

In Mathematics, a graph is a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

Additionally, the graph of a proportional relationship between two (2) variables is always modelled by a straight line with its data points passing through the origin (0, 0).

In this scenario, the x-axis of this graph would be labeled Blueberries (in pints) while the y-axis would be labeled Cost (in dollars), with the data points starting exactly from the origin (0, 0) and passes through (5, 21) as shown in the image attached below.

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Answer:

It’s A

Step-by-step explanation:

❥\(\Large\pmb{ \underline {\tt Answer}}\)

So we can only find x if other two angles of triangle is given.

In angle B as u can see boxed shape angle is there then it probably means it's a 90° angle.

We know sum of angles of triangle = 180°

{Reson :-

There's a formula to fund sum of angles of figure

}

Now Let's proceed

\( \boxed{ \rm Side_1+Side_2+Side_3 = 180\degree}\)

Fill all the given values

\( \dashrightarrow \tt 90 \degree + 55 \degree + c = 180 \degree\)

\( \\ \\ \)

\( \dashrightarrow \tt 145\degree + c = 180 \degree\)

\( \\ \\ \)

\( \dashrightarrow \tt c = 180 \degree - 145\degree\)

\( \\ \\ \)

\( \dashrightarrow \tt c = 35\degree\)

\( \\ \\ \)

Value of x = 35°

~BrainlyVIP ⸙

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Answer:

  P = -16(x -28)² +1024

Step-by-step explanation:

The equation can be written in vertex form as ...

  P = -a(x -h)² +k

where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.

  -4160 = -a(10 -28)² +1024

  -5184 = -324a . . . . simplilfy

  a = 5184/324 = 16 . . . . divide by the coefficient of 'a'

A suitable quadratic relation is ...

  P = -16(x -28)² +1024

Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

Answer:

y = 5/6x

Step-by-step explanation:

Solve for the slope of the function by using two points from the graph.

(12,10) and (6,5)

Use the slope formula

(10-5)/(12-6) = 5/6

The y-intercept is 0 because the line crosses at (0,0) at the y-axis.

y = 5/6x + 0

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that\(\overline x $\color \ - a\cdot\sigma \le 19.95}\) and   \(\overline x $\color \ +a\cdot\sigma \geq 29.95}\)

Use the given values of mean  \(\overline x\) and normal deviation (σ) to notice the worth of "a".

         \(\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a\)

On rounding off we get a = 2

Checking another inequality

         \(\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95\)

Thus , 2 standard deviation include the all values from the given set of data .

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Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

Answer:

D . f(n)=f(1)=3

            f(n)= -5f(n-1)if n >1

Step-by-step explanation:

i hope this help  got it right on test

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

what is  polynomial function ?

A polynomial function is a type of mathematical function that can be expressed as a sum of powers of a variable, multiplied by coefficients. The variable in a polynomial function is usually denoted by x, and the highest power of x that appears in the function is known as the degree of the polynomial.

In the given question,

A polynomial function of degree 3 with zeros of -4, -2, and 5 can be expressed in factored form as:

f(x) = a(x + 4)(x + 2)(x - 5)

where a is a constant coefficient that we need to determine, and (x + 4), (x + 2), and (x - 5) are the factors corresponding to the zeros -4, -2, and 5, respectively.

To find the value of the constant coefficient a, we can use the y-intercept of the function, which is given as -11. The y-intercept occurs when x = 0, so we can substitute x = 0 into the factored form of the function and set it equal to -11:

f(0) = a(0 + 4)(0 + 2)(0 - 5) = -11

Simplifying and solving for a, we get:

a = -11 / (42(-5)) = 11/40

Substituting this value of a back into the factored form of the function, we get:

f(x) = (11/40)(x + 4)(x + 2)(x - 5)

Expanding this expression, we get:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

Therefore, the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

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Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer:

-2, -5

Step-by-step explanation:

h2 + 7h + 10 = 0

h^2 +7h + 10 = 0

h^2 +2h +5h + 10 = 0

h(h+2) + 5(h+2) = 0

h+2 = 0 or h+5 = 0

h = -2 or h = -5

3x−2y=12;−3x+8y=−6

Step: Solve3x−2y=12for x:

3x−2y=12

3x−2y+2y=12+2y(Add 2y to both sides)

3x=2y+12

3x

3

=

2y+12

3

(Divide both sides by 3)

x=

2

3

y+4

Step: Substitute

2

3

y+4forxin−3x+8y=−6:

−3x+8y=−6

−3(

2

3

y+4)+8y=−6

6y−12=−6(Simplify both sides of the equation)

6y−12+12=−6+12(Add 12 to both sides)

6y=6

6y

6

=

6

6

(Divide both sides by 6)

y=1

Step: Substitute1foryinx=

2

3

y+4:

x=

2

3

y+4

x=

2

3

(1)+4

x=

14

3

(Simplify both sides of the equation)

Answer:

x=

14

3

and y=1

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

The distance the handler moves from the starting point to the return point when creating an arc of a circle with a radius of 70 feet is approximately 109.9 feet. C.

To calculate the distance the handler moves from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of a quarter circle.

The formula for the circumference of a circle is C = 2πr, where r is the radius.

Since we are interested in a quarter circle, we divide the circumference by 4.

Circumference of a quarter circle = (2π × 70) / 4

To calculate this value, we can use an approximation of π as 3.14:

Circumference of a quarter circle ≈ (2 × 3.14 × 70) / 4

Simplifying this expression gives:

Circumference of a quarter circle ≈ 109.9 feet

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The handler will move approximately 109.9 feet, as this distance represents a quarter of the circumference of a circle with a radius of 70 feet.

The question is based on the circumference of a circle. The formula for the circumference of a circle is C = 2πr (where r = radius in feet). We are only interested in a quarter of the circumference for this scenario, meaning we must divide the full value by 4. So, we plug in the values given: C = (2 * π * 70) / 4.

The calculation will give us 110 feet approximately, hence the closest answer is the third one, which is 109.9 feet.

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Answer:

I think it's 92.88

Step-by-step explanation:

add up 20 and 9 to get a total of 29%

then multiply .29 and 72 to get 20.88

then add 20.88 and 72 to get the total cost including tips and tax

The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.

To find the distance between two points \(\((x_1, y_1)\)\) and \(\((x_2, y_2)\)\), we will use the distance formula:

Distance = \(\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)\)

In this case, \(\((x_1, y_1) = (12, 5)\)\) and \(\((x_2, y_2) = (3, 4)\)\).

Substituting these values:

Distance = \(\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)\)

Distance = \(\(\sqrt{(-9)^2 + (-1)^2}\)\)

Distance = \(\(\sqrt{81 + 1}\)\)

Distance = \(\(\sqrt{82}\)\)

Now, approximate value of \(\(\sqrt{82}\)\) to 1 decimal place:

\(\(\sqrt{82} \approx 9.1\)\)

So, the correct response is 9.1.

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Answer:

The cumulative frequency distribution that corresponds to the given frequency distribution is shown in the explanation part as well as in the attachment.

Step-by-step explanation:

A cumulative frequency distribution is the sum of the class and all classes below it in a frequency distribution.

The cumulative frequency distribution that corresponds to the given frequency distribution speed number of cars is shown below and better shown in the attachment below.

Speed Number of cars Cumulative frequency

0 - 29           4                                  4

30 - 59          16                                 20

60 - 89          60                                 80

90 - 119          20                                 100

Answer:

Area of question = 336.14

Step-by-step explanation:

Step One

Find the area of the rectangle, ignoring the semi-circles at each end.

L = 35  cm

W = 14 cm

Area = L * W

Area =35 * 14 = 490 cm^2

Step Two

You will drive yourself a little mad is you don't realize that the two end sem-circles = 1 whole circle.

Find the area of the circle

r = d/2

r = 14/2

r = 7

Area = pi * r^2

Area = 3.14 * 7^2

Area = 3.14 * 49

Area = 153.86 cm^2

Area of question

Area of the rectangle - Area of the circle

490 - 153.86 = 336.14  cm^2

Answerc

Step-by-step explanation:

simple

The equation of the relationship is f(200) = 0.75 * 200

From the question, we have the following parameters that can be used in our computation:

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

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