What are the roots of the quadratic equation below?
2x² + 8x+7= 0
O A. x = = 2√2
1
O B. x =
-8+√120
8
O
O D. x =
C. x = = 4+√/²
-2+√120

Answer:

x = 0, -1, -3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor to equal zero.

Where Rectangle ABCD and A’B’C’D’ are similar.

a. the scale factor from ABCD to A’B’C’D’ is 1/2

b. What is the scale factor from A’B’C’D’ to  ABCD is 2

In mathematics, a scale factor is the ratio of matching measurements of an item to a representation of that thing. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.

When the scale factor is less than one, you are going from big to small. You are dilating negatively.

When you are going from small to big, you scale factor is reversed. In this case, we had 1/2 in a, in b it became 2/1 which = 2.

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Full Question:

Rectangle ABCD and A’B’C’D’ are similar.

a. What is the scale factor from ABCD to A’B’C’D’?

b. What is the scale factor from A’B’C’D’ to ABCD?

See attached image.

Therefore , the solution of the given problem of unitary method comes out to be 50 tyre rotations, you will have covered around 376.99 inches (or about 31.41 feet).

The well-known simple approach, real variables, and any crucial elements from the very initial And specialised inquiry can all be used to finish the work. Customers may then be given another chance to try the product in response. If not, significant impacts on our understanding of algorithms will vanish.

Here,

The circumference of the circle the bike tyre forms is equal to the distance travelled in one rotation of the tyre. The following formula determines a circle's circumference:

=> C = 2πr

where the mathematical constant is roughly equivalent to 3.14159 and r is the circle's radius.

Your bicycle tyre's radius in this instance is 12 inches. The tyre's circumference is as follows:

=> C = 2π(12) = 24π inches

You may easily calculate how far you will travel after 50 spins by multiplying the tyre's circumference by the number of turns:

=> Covered distance:  50 × 24π ≈ 376.99 inches

As a result, after 50 tyre rotations, you will have covered around 376.99 inches (or about 31.41 feet).

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The approximate standard error of the mean, assuming a 99.7% confidence level is 40.41.

Given population mean (µ) = $49,829

population standard deviation (σ) = $933

the randomly selected households (n) = 533 households

the confidence level = 99.7%

To find the standard error of the mean at a 99.7% of confidence level, we will substitute the above values in the below equation,

Standard error of the mean = σ/√n = 933/√533 ≅ 40.41

From the above analysis, we can conclude that the standard error of the mean at a 99.7% confidence level is 40.41.

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Answer:

40.41

Step-by-step explanation:

Plato/Edmentum

Answer:

low lying areas

Using trigonometry and the Pythagorean theorem, the length of the hypotenuse AC is found to be 3.5 cm, and using the Pythagorean theorem again, the length of BC is found to be approximately 1.75 cm.

Using trigonometry and the given angle and side length information, we can solve for the length of side BC (x).

We know that

sin(A) = opposite/hypotenuse

sin(30) = AC/7

AC = 7 × sin(30)

AC = 3.5 cm

Using the Pythagorean theorem, we have

BC² = AC² - AB²

BC² = (3.5)² - (7)² sin²(30)

BC² = 3.0625

BC = √3.0625

BC = 1.75 cm (rounded to two decimal places)

Therefore, the value of x is approximately 1.75 cm.

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Answer:

C. Luisa is incorrect, it's not 0. It's only zero when you get "x=0" as an answer but the variable x got canceled here. And as 3=3, it is a true statement so it includes all real numbers. If you had gotten 3=8 for example, it would be a fake statement, so then no solution.

And for the second part,

1. No solution

5x+24=5x+25

24=25

It's false

2. One solution

12p-7=-3p+8

15p=15

P=1

3. One solution.

3x+20=5x

20 = 2x

X = 10

Answer: We can solve this problem by finding the total weight of the meat and then dividing by the weight of each patty to see if we can make the desired number of patties.

Let's add the weights of the two packages of meat:

10 + 11.5 = 21.5

For option A, we need 87 1/4-pound patties.

Each pound of meat will yield 4 patties of this size, so 21.5 pounds of meat will yield:

21.5 x 4 = 86 patties

Since we need 87 patties, Claude does not have enough meat for option A.

For option B, we need 45 1/2-pound patties.

Each pound of meat will yield 2 patties of this size, so 21.5 pounds of meat will yield:

21.5 x 2 = 43 patties

Since we need 45 patties, Claude does not have enough meat for option B.

For option C, we need 30 1/2-pound patties and 2 74-pound patties.

Each pound of meat will yield 2 patties of the smaller size and 1 patty of the larger size, so 21.5 pounds of meat will yield:

(21.5 x 2) + (2 x 1) = 43 + 2 = 45 patties

Since Claude only has 21.5 pounds of meat, he does not have enough for option C.

For option D, we need 29 3/4-pound patties.

Each pound of meat will yield 1.5 patties of this size, so 21.5 pounds of meat will yield:

21.5 x 1.5 = 32.25 patties

Since we only need 29.75 patties, Claude has enough meat for option D.

Therefore, the answer is Yes, Claude can make 29 3/4-pound hamburger patties.

The tangent function for the given terminal point is undefined.

The given terminal point of Θ is (0,-1). The tangent of an angle is defined as the quotient between the y-component and the x- component of the terminal point.

So, according to the question, tan Θ = -1/0. Hence, tan Θ is undefined as -1/0 is not defined.

Hence, tan Θ for the given function is not defined.

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Answer:

0.00007003 is the standard form of 7.003x10^-5. In scientific notation, the number is expressed as 7.003 multiplied by 10 raised to the power of negative five. To convert it to standard form, the decimal point has to move to the left by five places since the exponent is negative. The resulting number is a decimal with four zeros before the first nonzero digit. Standard form is a way of representing numbers that does not use exponents and is useful in comparing and performing operations on numbers.

Answer:

[tex]f(0) = 6.2 \sqrt{4.5} + 18 = 31.2[/tex]

Compound interest is the interest earned on the principal and the interest previously accumulated. It is given by

[tex]A=P(1+r/n)^{nt}[/tex]

where P = Principal, r = annual rate of interest, n = the number of times interest is compounded per year & t = time in years.

The given principal is $1600 for 11 years & amount is $2400 compounded quarterly.

To find the rate of interest compounded quarterly for 11 years substitute the given values in the above formula i.e

[tex]2400=1600(1+r/4)^{11*4}[/tex]

r=3.70%.

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Answer:

Area = ½* height(a+b)

Where;

a=4units

b=8units

h=6units

Therefore Area= ½*6(4+8)

= ½*6*12

=36sq.un

Answer:

24sq²

Step-by-step explanation:

Area = ( b1 + b2) x h

          ---------------------

                     2

Area =   (8 + 4) x 6

          ---------------------

                     2

Area =     (12) x 6

          ---------------------

                     2

A = 72/2

A = 36

A = 1/2 * b * h

A = (1/2) * 4 * 6

A = (1/2) * 24

A = 12

36 - 12 = 24sq²

I hope this helps!

The measure of length of x of the parallelogram is x = 2.36 units

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of lengths of the sides are

The measure of AB = 13x - 20

The measure of CD = 2x + 6

The measure of BC = 5x + 4

Opposite sides are parallel

Opposite sides are congruent

So , AB = CD

13x - 20 = 2x + 6

Subtracting 2x on both sides , we get

11x = 26

Divide by 11 on both sides , we get

x = 2.36 units

Hence , the parallelogram is solved and x = 2.36 units

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Explanation:

The paragraph explains how TERFs have alienated many feminists from radical feminism and why TERF is a harmful and anti-trans movement.

Some other possible sentences are:

Answer:ABC(Done for you)
ACB
BAC
BCA
CAB
CBA

Step-by-step explanation:

The ramp has a volume capacity of around 37.5 cubic feet.

Calculating the volume of a triangular prism shaped ramp follows a specific formula. First, identify the shape and refer to the equation:

Volume = (1/2) * Base Area * Height

To begin, the base is always in a right-angled triangle form, where its area depends on its width denoted as W, and height noted specifically as H.

Based on these computations, knowing that its triangular base measures 5 feet at its length while taking its height equates 3 feet therefore assessing how much it covers can be found using:

Triangle Area = (1/2) * Base * Height

Substituting values into solving areas leads us to have an answer of over 7 square feet.

Next is computing the volume of the said triangular prism. Placing all given data results in the same formula:

Volume = (1/2) * Base Area * Height

With one-half of the product of both areas which resulted in 7.5 square feet and then multiplying the figure by 10 ft, this yields us an approximate volume of 37.5 cubic feet.

In conclusion, we have determined that the ramp has a volume capacity of around 37.5 cubic feet.

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Length (L) = 10 feet

Width (W) = 5 feet

Height (H) = 3 feet

Mr. González designed a ramp for his car with a length of 10 feet, a width of 5 feet, and a height of 3 feet. What is the volume of the ramp in cubic feet?

If a candle having diameter as 9 cm, height as 12 cm is placed in a cylindrical box, then the height of the cylindrical box will be 13cm.

The "cylindrical-candle" diameter is given as = 9 cm;

The "cylindrical-candle" height is given as = 12 cm;

The candle is placed in a box which has a space of 0.5 cm between the candle and the box for packaging material;

which means that, there will an additional 0.5 cm in the top and bottom of the candle,

So, the height of the "cylindrical-box" is written as : 0.5 + 12 + 0.5;

Therefore, the "cylindrical-box" has a height of 13 cm.

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The required direction of the inequality is below the line.

If you're not graphing a vertical line, the inequality's sign will tell you which half-plane to shade. Shade above the line when using the  or > sign. Shade below the line if the symbol or is used. Larger solutions are to the right and smaller solutions are to the left, respectively, for a vertical line.

To check the direction, we will take points from the graph and put in the given inequality.

At point (2, 0)

y ≤ x/4 - 3

0 ≤ 2/4 - 3

0 ≤ -25

It is false

Again

At (2, -4)

y ≤ x/4 - 3

-4 ≤ 2/4 - 3

-4 ≤ -2.5

It is true,

Thus, we can say the direction of the inequality is below the line.

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Answer:

Step-by-step explanation:

The solution to the system of equations `x=9y` and `3y - 3x =24` can be found by substituting the value of `x` from the first equation into the second equation. This gives us `3y - 3(9y) = 24`, which simplifies to `-24y = 24`. Solving for `y`, we get `y = -1`. Substituting this value of `y` into the first equation, we get `x = 9(-1) = -9`. So the solution to the system of equations is `(x,y) = (-9,-1)`.

Is there anything else you would like to know?

The scale factor between a square of dimensions 7 by 7 and a scaled copy of dimensions 21/2 by 21/2 is 3/2 or 1.5.

We know that the dimensions of the square on the left are 7 by 7, and the dimensions of the square on the right are 21/2 by 21/2.

To find the scale factor, we can divide the dimensions of the square on the right by the dimensions of the square on the left

scale factor = (21/2) / 7

We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor, which is 7

scale factor = (21/2) / 7 = (21/2) * (1/7) = 3/2

Therefore, the scale factor is 3/2, or 1.5.

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Answer:

12.5%

Step-by-step explanation:

We Know

A student scored 80 on a test last week and 90 on the same test this week.

What is the percent increase in the score?

We Tale

(90 ÷ 80) x 100 = 112.5%

Then we take

112.5 - 100 = 12.5%

So, the percent increase in score is 12.5%

Step-by-step explanation:

Look at the table for z = 1.67  

You have the wrong table.......the table you posted is for negative z-scores

for z -score = + 1.67 , the value is .9535    = 95.35 %

Answer:

$17,204.28

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

The area of sector GHJ is:

3.125π cm² (in terms of pi)

9.8 cm² (As a decimal rounded to the nearest tenth)

The formula for area of a sector when the angle is in radians is:

A = (1/2) * r²θ

Where θ is the angle subtended at the center and r is the radius of the circle.

In this case, r = 5 cm and θ = π/4

Substituting:

A = (1/2) * 5² * π/4

A = 3.125π cm² (in terms of pi)

As a decimal rounded to the nearest tenth:

A = 3.125 * 22/7

A = 9.8 cm²

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The ball reaches a height of 40 meters at approximately 3.38 seconds after it is kicked.

To determine if the ball reaches a height of 40 meters, we can substitute h(t) = 40 into the equation and solve for t.

40 = -2t² + 4t + 27

Rearranging the terms, we get:

2t² - 4t - 13 = 0

We can solve for t using the quadratic formula:

t = [4 ± √(4² - 4(2)(-13))]/(2(2))

t = [4 ± √(176)]/4

t ≈ 3.38 or t ≈ -0.88

Since time cannot be negative, we can discard the negative solution. Therefore, the ball reaches a height of 40 meters at approximately 3.38 seconds after it is kicked.

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Answer: w(t) = 60 * 4^(t-1).

Step-by-step explanation:

The given ordered pairs model an exponential function of the form w(t) = ab^t, where w is the function name, t is the input variable, a is the initial value, and b is the growth factor.

From the first ordered pair (1, 60), we can see that the initial value a is 60. From the second and third ordered pairs (2, 240) and (3, 960), we can see that the output value is multiplied by 4 when the input value increases by 1. This means that the growth factor b is 4.

So, the function equation in sequence notation is w(t) = 60 * 4^(t-1).

When -3 (row 1) is added to row 2, the result would be [ 1 - 4 | 8 ]

[ 0 10 | 10 ].

The first thing to do is to multiply each element in row 1 by - 3 :

- 3 x 1 = - 3

- 3 x - 4 = 12

- 3 x 8 = - 24

Then, we need to add the result to the elements in row 2:

3 + ( - 3 ) = 0

- 2 + 12 = 10

10 + ( - 24 ) = - 14

The resulting matrix would therefore be:

[ 1 - 4 | 8 ]

[ 0 10 | - 14 ]

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