For the following factored polynomial, find all of the zeros and their multiplicities. f(x) = (x – 5)" (x + 1)? O = x = -1 with multiplicity 5, and x = 5 with multiplicity 7 O x x = -1 with multiplicity 7, and x = -5 with multiplicity 5 O x = 7 with multiplicity -1, and x = 5 with multiplicity 5 O x = 1 with multiplicity 7, and x = 5 with multiplicity 5 x = 1 with multiplicity 7, and x = -5 with multiplicity 5 Ox= -1 with multiplicity 7, and x = 5 with multiplicity 5

For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

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The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

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Answer:

C. the same

Step-by-step explanation:

4.80 divided by 12 equals .40

6.40 divided by 16 equals .40

Answer:

1 is linear 4 is also linear,

Step-by-step explanation:

im not entierly sure

Answer:

  4.4 m

Step-by-step explanation:

The scale shows you the width of the bedroom is ...

  1.2 + 2.1 + 1.1 = 4.4 . . . meters

The value of a  is  mathematically given

a=11.

This is further explained below.

Generally, The value of a may be found by using the formula for calculating distance, which reads as follows: distance = square root of

(x2-x1)2 + (y2-y1)2.

The value of a was determined to be equal to 11, given that point 1 was given the coordinates (a, -9) and point 1 was given the coordinates (3, 24), and the distance was 29 units.

In conclusion, The numerical measurement of how far away two places or things are is referred to as distance. When discussing physics or using the term in ordinary conversation, "distance" may either refer to an actual length or an assumption based on other factors. When referring to the distance between two points, the notation "AB" is often used.

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Answer:

All except 2,5,3

Step-by-step explanation:

To make a triangle, two of the side lengths added together should always be larger than the third side length. Otherwise, the triangle could not be formed since the sides could not reach each other. This means that the sides 2,5,3 cannot work. Hope this helps!

Therefore , the solution of the given problem of equation comes out to be the value of an is 12 when b is 147. Therefore, 12 is the right response.

In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics of the above x + 7 suggestions. improving in this case provides b + 7 while constructing y + 7 before integrating.

Here,

The following values can be used to put up a proportion if the relationship between variables a and b is proportional:

=>  a / b = 4 / 49

The value of a when b is 147 can therefore be calculated using this ratio:

=>  a / 147 = 4 / 49

By cross-multiplying, we can isolate a:

=>  a = (4 / 49) * 147

Now that we know the value of a, we can:

=> a = 12

Therefore, the value of an is 12 when b is 147. Therefore, 12 is the right response.

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The minimum sample size which is need to to create the given confidence interval is equal to 467.

Sample size n

z = z-score for the desired confidence level

From attached table,

For 85% confidence level, which corresponds to a z-score of 1.44.

Maximum error or margin of error E = 0.06

Population standard deviation σ = 0.9

Minimum sample size required to construct a 85% confidence interval with an error of no more than 0.06,

Use the formula,

n = (z / E)^2 × σ^2

Plugging in the values, we get,

⇒ n = (1.44 / 0.06)^2 × 0.9^2

⇒ n = 466.56

Rounding up to the next integer, we get a minimum sample size of 467.

Therefore, the minimum sample size required to construct a 85% confidence interval with an error of no more than 0.06 is 467.

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Answer:

Step-by-step explanation:

There is no specific question here, but perhaps it is solve for Y? is there any more information?

P= 14 - Y

J= 8  +Y

The values of x = 17 and y = 0.

Define quadratic equation?

A quadratic equation is a second-degree polynomial equation in one variable of the form a + b + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus", which means square.

Given:

\(x^{4} - 8x^{2} y^{2} +16y^{4} -289\) equals to 0

\(x^{4} - 8x^{2} y^{2} +16y^{4} -289 = 0\)

\(x^{4} - 8x^{2} y^{2} +16y^{4} =289\)

We know that \((x-b)^{2} =x^{2} -2xy +y^{2}\)

Compare it: \((x^{2} -4y^{2} )^{2} = x^{4} - 8x^{2} y^{2} +16y^{4}\)

So, \((x^{2} -4y^{2} )^{2} = 289\)

\((x^{2} -4y^{2} ) = 17\)

We know that \((x^{2} -b^{2} ) = (x+y)(x-y)\)

So, \((x +2y)(x-2y) =17\)

If we solve two equations that is:

(x+2y) = 17 and  (x-2y) = 17

Simplification, x = 17 and y = 0

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The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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the girl will be scoring a total of 30 goals.

What is number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

Given, the goal scored

3 times 2

4 times 1

and 5 times 4.

So the total goal scored will be 3*2=6

4*1=4

and 5*4=20

Score = 6+4+20=30

Hence the girl will be scoring a total of 30 goals.

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Answer:

D

Step-by-step explanation:

1. Find which of these 4 (four) has a y-intercept of positive 4, in this case, B and D. Recall, that the y-intercept means when X is 0 (zero) what is the value of Y?

2. Find the slope of B and D
The formula to find slope is change in y/change in x (Y/X)

B:

X: 0 - 4 = -4
Y: 4 - 0 = 4

4/-4 = -1

D:

X: 0 - -4 = 4

Y: 4 - 0 = 4

4/4 = 1

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

20/27

Step-by-step explanation:

Answer:

add them together

Step-by-step explanation:

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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System specifications can be expressed using predicates, quantifiers, and logical connectives. These expressions are used to define the characteristics of a system.



System specifications refer to the features and capabilities that a system possesses. These features can be expressed using predicates, quantifiers, and logical connectives. Predicates are used to define the characteristics of a system. For example, "the system has a graphical user interface" is a predicate that describes a characteristic of the system.

Quantifiers are used to express how many instances of a predicate are present in a system. For example, "there are multiple users in the system" uses the quantifier "multiple" to indicate that there are more than one instance of the predicate "user".

Logical connectives are used to connect different predicates or propositions. For example, "the system has a graphical user interface and supports touch screen inputs" uses the logical connective "and" to connect the two predicates.

In summary, system specifications can be expressed using predicates, quantifiers, and logical connectives. These expressions are used to define the characteristics of a system and to indicate how many instances of a predicate are present in the system. Logical connectives are used to connect different predicates or propositions.

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Answer:5 with an exponent of 3•55• 53

Step-by-step explanation:

Just make the equation smaller looking by putting together numbers that can be turned into one like there was 4, 5’s so turn it into 5 with and exponent of 3

The value of the expression 5⁷ / 5² will be  5×5×5×5×5. which is the correct answer would be an option (C).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The expression is given below.

⇒ 5⁷ / 5²

⇒ 5⁷⁻²

⇒ 5⁵

⇒ 5×5×5×5×5

Hence, the value of the expression 5⁷ / 5² will be 5×5×5×5×5. which is the correct answer would be an option (C).

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The question seems to be incomplete the correct question would be

Which of the following expressions is equal to 5⁷/ 5² ?

1.) 5×5×5

2.) 1/5×5×5×5

3.) 5×5×5×5×5

4.) 3

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

Answer:

t×u×v×w=76 in number calculator

Answer:

76

Step-by-step explanation:

Just follow this simple formula: area = 1/2 x perimeter x apothem.

Answer:

(5 , 0)

Step-by-step explanation:

7 * (−9y+4x−20)=0

9 * (−7y+16x−80)=0

-63y + 28x -140 = 0 ......a

-63y + 144x -720 = 0 .....b

b-a:  116x - 580 = 0

116x = 580

x = 5

y = (4x-20)/-9 = 0/-9 = 0

Answer:

2.33 ounces

Step-by-step explanation:

Given that:

Ounces of granola used = 34.95 ounces

Number of servings of trail mix = 15 servings

Since each serving contains the same amount of granola :

Amount of granola in each serving :

Ounces of granola used / Number of servings

34.95 / 15

= 2.33 ounces of granola per serving

Answer:

≈11.7 [ft].

Step-by-step explanation:

1) the ladder and the wall form the right triangle, where the length of the ladder (12 ft) is hypotenuse and the distance between the base of the latter and the base of the wall is the shortest side.

2) the longest side can be calculated according the Pythagoras theorem:

\(L=\sqrt{12^2-2.8^2}=\sqrt{136.16}=11.7[ft].\)

E(z),the expected value of z in which at least one member has a birthday in 12 months is (11/12)^10

Define the random variable Zi’s as

\(Z_{i}\)= 1 : if no member of the club has a birthday in the month

   = 0: otherwise   for, i =1,2, ......,12 .

Now, we have,

= P (\(Z_{i}\) =1) .

=p( no member of the club has a birthday in month i).

= p, say.

Now, there are a total of 10 members in the club and their birthdays are assumed to be independently and uniformly distributed over the 12 months of the year. So, there are 12 possible choices of months for each of the 10 members for their birthday. Thus, the total no. of exhaustive mutually exclusive and equally likely no. of ways of birthdays 12^10.

Again, if no member of the club has a birthday in month 'i'; then, all of their birthdays should be on the remaining (12 - 1) = 11 months of the year. So, there are possible choices of birthday months for each of the 10 members of the club. So, the no. of cases for the event (Zi=1) is 11^10.

So, p(\(Z_{i}\)=1) = Favorable no. of cases for Zi=1) / Total no. of all possible cases

= 11^10 / 12^10

By the classical definition of probability.

= (11/12)^10

p(\(Z_{i}\) = 1) = (11/12)^10

E(Zi).= (11/12)^10

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The values of "L" for q1 are 12, 18, and 36.

The values of "L" for q2 are 25/3, 25/2, and 25.

The function "q1" is given below :

q1 = 5[(K)^(0.5)]*[(L)^(0.5)]

The value of "q1" is 30.

The values of "K" are 3, 2, and 1.

Put the values in the above equation of the function "q1" and get the respective values of "L".

The respective values of "L" are 12, 18, and 36.

The function "q2" is given below :

q2 = 6[(K)^(0.5)]*[(L)^(0.5)]

The value of "q2" is 30.

The values of "K" are 3, 2, and 1.

Put the values in the above equation of the function "q2" and get the respective values of "L".

The respective values of "L" are 25/3, 25/2, and 25.

Complete question: van is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. van knows from experience that the total number of pizzas he can produce in an hour is given by the function q1 = 5[(K)^(0.5)]*[(L)^(0.5)] find the value of K and L.

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Answer: about 47 haircuts

Answer:

The total Number of stamps is 25

Answer:

C. THE TOTAL NUMBER OF STAMPS IS 35

I took the test and got it right.