Please provide the correct answers! Be careful! Thank you! comment if you have questions. Look at photo.

Answer: Where is the triangle? There is no picture.

The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

-73, -71, -69

Step-by-step explanation:

Suppose the middle of the 3 integers is x.

(x-2)+(x)+(x+2)=-213

x-2+x+x+2=-213

3x=-213

x=-71

The integers are -69, -71, and -73

Answer:

-73,-71,-69

Step-by-step explanation:

Let x represent an odd interger

Odd intergers are serpated by the value of 2 so let the three consective intergers be represented by

\((x )+ (x + 2) +( x + 4)\)

Set that equation equal to 213.

\(x + x + 2 + x + 4 = - 213\)

\(3x + 6 = - 213\)

\(3x = - 219\)

\(x = - 73\)

Plug -73 in the consective intergers expression.

\( - 73 + ( - 73 + 2) + ( - 73 + 4)\)

So our three intergers are

\( - 73\)

\( - 71\)

\( - 69\)

Answer:

20/50=40%  So 50 to 70 percent increase is 40%.

20/70=about 28.57% decrease for 70 to 50.

So they aren't the same because the hundred percent are different numbers in this case.

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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\(\:\)

。。。。。。。。。。。。。。。。。。。。。。。。。。。。

\(\frac {7^2}{7^2}\)

\(7^2 ÷ 7^2 \)

\(7^{2-2}\)

\(7^0 \)

\(1 \) ( Opsi C )

。。。。。。。。。。。。。。。。。。。。。。。。。。。。

\(\:\)

Answer:

C. 1

Step-by-step explanation:

7^2/7^2

=1

hope help

Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.

Answer:

n = 100

Step-by-step explanation:

We can let n represent the number we're trying to find.

Taking 80% of a number is the same as multiplying the number by 80/100 or 0.80.

Thus, we can use the following equation to find the number:

\(n+0.80n=180\\1.80n=180\\n=100\)

80% of "100" is 80.

80 "added to" 100 is 180

Answer:

if each box equal with 1/2 cm, so

length × width × height

= 5/2 × 1 × 3/2

= 15/4 cm³

= 3 3/4 cm³

Hope it helps!

Answer:y times 20 p

Step-by-step explanation:

\(\huge\underline{\purple{\bold{your \: answer \: is \: in \: attachment}}}\)

The value of 'r' as a subject is \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

\(v =mg \sqrt{1-r^2\)

Squaring on both sides.

\(v^2=m^2g^2(1-r^2)\)

\(\dfrac{v^2}{m^2g^2}=1-r^2\)

\(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

Hence, the expression is  \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

125

Step-by-step explanation:

By doing 6.99/87, we can figure out that each chip costs approximately 8 cents. With this in mind, we can divide 10 by 0.08 to get 125.

Given:

Total distance of race = 6 miles

Track length = \(\dfrac{1}{4}\) miles

To find:

The number of laps to complete the race.

Solution:

We know that,

\(Number of laps = \dfrac{\text{Total Distance}}{\text{Length of one lap}}\)

\(Number of laps = \dfrac{6}{\dfrac{1}{4}}\)

\(Number of laps =6\times \dfrac{4}{1}\)

\(Number of laps =24\)

Therefore, the required number of laps is 24.

If Anna draws an angle in her notebook, then the rays intersect at just one point.

The point where two lines meet is known as an angle

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Answer: 1

Step-by-step explanation:

Took the test and it was correct

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The area of the shape with the given features is 34.625 square cm

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

Composite figures

The area of the shape is the sum of the areas of individual shapes

So, we have

Area = triangle + quarter circle

This gives

Area = 1/2 * 6 * 5 + 1/4 * 3.14 * 5^2

Evaluate

Area = 34.625

Hence, the area is 34.625 square cm

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Statement D is false.

What is Continuous function?

A function is continuous when its graph is a single unbroken curve that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.

The Intermediate Value Theorem states that if a function f is continuous on an interval [a, b] and k is a value between f(a) and f(b), then there is at least one value c in the interval such that f(c) = k.

In this case, f is continuous on the interval [0, 4] and 5 is between f(0) = 2 and f(4) = 18, so there must be a value c such that f(c) = 5.

Therefore, statement A is true.

The Mean Value Theorem states that if a function f is differentiable on an interval [a, b] and continuous on the closed interval [a, b], then there exists a value c in the interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

In this case, f is differentiable and continuous on the interval [0, 4], so there must be a value c such that f'(c) = (f(4) - f(0))/(4 - 0) = 4.

Therefore, statement B is true.

The Extreme Value Theorem states that if a function f is continuous on a closed interval [a, b], then f must attain both a maximum and a minimum value on that interval.

In this case, f is continuous on the interval [0, 4], so it must attain both a maximum and a minimum value on that interval.

However, the theorem does not specify whether the maximum or minimum value occurs at the endpoint or somewhere in the interior of the interval.

Therefore, statement C is false, and statement D is also false.

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The time taken for the person to get to school based on the equation will be 7 minutes.

From the information given, the equation is given as:

g(x) = x⁴ - 3x² + 4x - 5

Then, we'll put 2 as x. This will be:

= 2⁴ + 3(2)² + 4(2) - 5

= 16 - 12 + 8 - 5

= 7

Therefore, the time taken for the person to get to school based on the equation will be 7 minutes.

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Answer: a

Step-by-step explanation:

Answer:

Draw a graph of f(x) and q(x) also find x-intercept and y

Answer:

1 yard = 3 feet

so...

22 yards = 3 (22)

3 x 22 = 66

conversion factor: 3/1

Step-by-step explanation:

Answer:

3 feet over 1 yard

Step-by-step explanation:

enjoy

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer: x=44 degrees

Step-by-step explanation: you have to find the other two degrees of the triangle x is in which are 74 degrees and 62 degrees. adding those together would equal to 136. then you would subtract 136 from 180 because I triangle has a total of 180 degrees for its three angles. so you get your answer of x=44 degrees.

Answer:

60

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+x+x = 180

3x= 180

Divide by 3

3x/3=180/3

x = 60

Answer:

60

Step-by-step explanation:

sum of measure of interior angles of a triangle is 180

x+x+x=180

3x=180

x=180/3

x=60