Which fractions have the same value as -1/4A) -1/-4B) - -1/-4C) -1/4D) - -1/4E) 1/-4

EXPLANATION

Given the equation u^3u^9

In this case, we have a product of powers with the same base, so by the properties of the powers, we should add both exponents.

In this case, the adittion is as follows:

3 + (-9) = 3 - 9 = -6

So the power now has a negative exponent, so we need to reverse the fraction in order to get a positive exponent

Reversing the expression:

[tex]\sqrt{17}[/tex], [tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] are surds among the given options.

According to the question,

We have the following information:

A) √17 B) √36 C) √100 D) √15 E) √30​

Now, among these options we have to find which of them is a surd.

We know that surds are defined as numbers which can not expressed as rational numbers or in the form of p/q where q should not be equal to 0.

In this case, 6 is the perfect square root of [tex]\sqrt{36}[/tex]. So, it can not be classified as a surd.

10 is the perfect square root of [tex]\sqrt{100}[/tex]. So, it can also be expressed as a rational number.

However, among these 5 options [tex]\sqrt{17}[/tex] can not be expressed as a perfect square root of any number. So, it is a surd.

[tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] also can not be expressed as a rational number.

Hence, the correct options are A, D and E.

To know more about surds here

https://brainly.com/question/14032921

#SPJ1

The surface area will be the surface area of the rectangular prism, plus the surface area of the triangular prism, minus the area of the base of the triangular prism, so:

For the rectangular prism:

For the triangular prism:

The area of the base of the triangular prism is:

Therefore:

============================================================

Explanation:

Add up the values

1 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 4 = 30

Then divide by the sample size n = 10 since there are 10 items in this list

30/10 = 3

The mean is 3.

---------------

An example in real life

Imagine that the numbers given represent the number of cookies that 10 people have. Person A has 1 cookie, person B has 2 cookies, person C has 2 cookies, person D has 3 cookies, and so on.

Adding up all the cookies gets us 30 total. Imagine all the cookies are placed on a plate somewhere.

To split the cookies evenly among the 10 people, we divide by 10 to get 30/10 = 3. This means each person gets 3 cookies, which is exactly the arithmetic mean.

The quotient of 8 divided by one-third, multiply 8 by 3. Option C

Fractions are simply defined as part of a whole element, set or quantity.

The different types of fractions are;

Examples of simple fractions include; 1/2, 1/5

Examples of proper fractions include; 2/3 . 4/6

Examples of mixed fractions include; 2 1/4, 3 6/7

Examples of improper fractions include;5/4, 6/54

From the information given, we have;

8 ÷ 1/3

Take inverse of the divisor and multiply

8 × 3/1

24

Then, multiplying 8 by 3 is 24

Hence, the value is 3

Learn more about fractions here:

https://brainly.com/question/11562149

#SPJ1

Answer: E

Step-by-step explanation: On the y axis go 6 spaces up and E will be 6 spaces to the right.

The answer is low accuracy and low precision.

Given:

A hunter is practicing his aim using a practice target. he takes 5 shots. all 5 shots hit the target, but they do not hit or surround the bullseye. in addition, all 5 shots are very spread apart on the target.

From the given statements :

All 5 shots hit the target, but they do not hit or surround the bullseye here no shots hit or surround the bullseye means there is no closeness to true value,Hence low accuracy.

All 5 shots are very spread apart on the target here all shots are very spread apart means there is no closeness between the shots,Hence low precision.

Therefore the answer is low accuracy and low precision.

Learn more about the accuracy and precision here:

https://brainly.com/question/15276983

#SPJ1

Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.

Point G is a circumcenter.

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y).

We can see image,

Then,

(2x + 15)° = 90°

2x + 15 = 90

2x = 90 - 15

We can sum or difference of products,

2x = 75

x = 75/2

We can divide the products,

x = 37.5

Therefore,

Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.

To learn more about information Circumcenter :

brainly.com/question/14145933

#SPJ1

Answer:

Explanation:

Given the function, g(x) below:

We evaluate g(x) for x=1,2 and 3:

We see that whenever x increases by 1, the value of g(x) triples.

Answer:

the population was 455,000

Step-by-step explanation:

350,000 × 0.3 = 105,000

105,000 + 350,000 = 455,000

EXPLANATION.

The whole numbers are the same natural numbers that start from zero to infinity, they are positive and negative, for example in the number line we can see them from zero to positive infinity, and from zero to negative infinity.

Whole numbers express a complete unit, this means that they do not have an integer part and a decimal part.

Now according to what has already been mentioned, we can see in the exercise that the integers are 9 and 1.00000, which we must enclose in a circle.

The current ages of the sisters are:

Information about the problem:

To solve this problem we must establish the equations according to the given data and solve the operations:

J = S + 3                                       (1)

(30+J) + (30+S) = 111                    (2)

We have two equations with two unknowns, substituting the value (J) in the second equation, we have:

30+J+30+S = 111

60 + J + S = 111

J+S = 111-60

J+S = 51

(S+3) + S = 51

2S + 3 = 51

2S = 51-3

2S = 48

S = 48/2

S = 24

Substituting (S) into one of the equations (J) we have:

J = S + 3    

J = 24+3

J = 27

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

Quality Homes Construction Company orders only lumber that is at least 80% clear-free of defects. including knots and edge defects. in an order containing 65,500 linear feet, 52,400 linear feet of lumber will be free of defects.

Percentage of Defect-Free Lumber-

Quality Homes Construction Company orders lumber that is at least a certain percentage clear-free of any sort of defects. then they go ahead and order a big supply of lumber. Using percentages from Algebra we calculate the amount of the lumber that will be totally free of any defects. Percentages play an important role in Algebra as well as in Probability and Statistics.

Gives that at least 80% = 0.8 of the lumber is clear free of all defects, the minimum amount of lumber free of all defects will then be

0.8 x 65,500 = 52,400 linear feet of lumber.

Hence, 52,400 linear feet of lumber will be free of defects.

Learn more about Percentage here https://brainly.com/question/26580448

#SPJ9

If a guest takes 4 pieces of turkey, the cups of gravy the guest would get is 2.

The total cups of gravy that Lily will give out in total is 15.

Ratio is used to compare two or more variables together. It is used to show the relationship that exists between two or more variables. In this question, for every cup of gravy a guest gets, the guest would get 2 pieces of turkey. The ratio of gravy to turkey is 1 : 2.

Cups of gravy that each guest would get = (ratio of turkey x number of pieces of turkey) ratio of cups of gravy

(4 x 1) / 2 = 2

In order to determine the cups of gravy that 10 guests would have is to determine the cups of gravy each guest would get.

Cups of gravy each guest would get : (3 x 1) / 2 = 3/2

The next step is to multiply the ratio by the number of guests.

Number of guests = 3/2 x 10 = 15

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

1)  [tex]2^{5+3}[/tex] = [tex]2^{8}[/tex]  (By Product rule of exponents [tex]a^{m} *a^{n} = a^{m+n}[/tex])

2) [tex]m^{5+7}[/tex] = [tex]m^{12}[/tex]  (By Product rule of exponents [tex]a^{m} *a^{n} = a^{m+n}[/tex])

3) [tex]b^{4+2} = b^{6}[/tex]    (By Product rule of exponents [tex]a^{m} *a^{n} = a^{m+n}[/tex])

4) [tex]x^{2+1}*y^{2} = x^{3}y^{2}[/tex]   (By Product rule of exponents [tex]a^{m} *a^{n} = a^{m+n}[/tex])

5) [tex]x^{4+5}*y^{1+1} = x^{9}y^{2}[/tex]    (By Product rule of exponents [tex]a^{m} *a^{n} = a^{m+n}[/tex])

6) [tex]2^{4 - 3} = 2^{1} = 2[/tex]   ( By Quotient rule of exponents [tex]a^{m} /a^{n} = a^{m-n}[/tex])

7) [tex]c^{8 - 5} = c^{3}[/tex]    ( By Quotient rule of exponents [tex]a^{m} /a^{n} = a^{m-n}[/tex])

8) [tex]x^{4 - 4} = x^{0} = 1[/tex]  ( By Quotient rule of exponents [tex]a^{m} /a^{n} = a^{m-n}[/tex])

9) [tex]a^{2- 3} = a^{-1}[/tex]  ( By Quotient rule of exponents [tex]a^{m} /a^{n} = a^{m-n}[/tex])

10) [tex]m^{5*10} = m^{50}[/tex] (Power of a power rule [tex](a^{m})^{n} = a^{m*n}[/tex])

11) [tex]5^{2*2} = 5^{4}[/tex]  (Power of a power rule [tex](a^{m})^{n} = a^{m*n}[/tex])

12) [tex]\frac{x^{2*2} }{y^{3*2} } = \frac{x^{4} }{y^{6} }[/tex]   (Power of a quotient rule [tex]( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }[/tex])

13) [tex]a^{1*3} b^{2*3} =a^{3} b^{6}[/tex]   (Power of a power rule [tex](a^{m})^{n} = a^{m*n}[/tex])

14) [tex]c^{2*5} d^{3*5} =c^{10} d^{15}[/tex]   (Power of a power rule [tex](a^{m})^{n} = a^{m*n}[/tex])

15) [tex](m^{2-2} )^{2} = (m^{0} )^{2} = 1^{2} =1[/tex]   (Power of a quotient rule [tex]( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }[/tex]  and Zero exponent rule [tex]a^{0} = 1[/tex])

16) [tex]\frac{y^{2*0} }{z^{7*0} } = \frac{y^{0} }{z^{0} } = 1[/tex]   (Power of a quotient rule [tex]( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }[/tex]  and Zero exponent rule [tex]a^{0} = 1[/tex])

17) [tex]\frac{1}{k^{2} }[/tex]       ( Negative Exponent rule [tex]a^{-m} = \frac{1}{a^{m} }[/tex] )

18) [tex]g^{3*-2} h^{3*-2} = g^{-6} h^{-6} = \frac{1}{g^{6}h^{6} }[/tex]   ( Negative Exponent rule [tex]a^{-m} = \frac{1}{a^{m} }[/tex] )

19) [tex]( x^{3-2} y^{3-2} )^{5} = (xy)^{5} =x^{5} y^{5}[/tex]  (By Quotient rule of exponents [tex]a^{m} /a^{n} = a^{m-n}[/tex] )

20) [tex](m^{2-3} n^{2-2} )^{4} =(m^{-1}n^{0})^{4} = m^{-4} = \frac{1}{m^{4} }[/tex]  (Power of a quotient rule [tex]( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }[/tex]  and Zero exponent rule [tex]a^{0} = 1[/tex]) ( Negative Exponent rule [tex]a^{-m} = \frac{1}{a^{m} }[/tex] )

To know more about exponents visit:

https://brainly.com/question/219134

#SPJ13

Answer:

hope this helped

Step-by-step explanation:

Multiply the height of Rectangle by the scale factor. This will give you the height of Rectangle

Multiply the width of Rectangle by the scale factor. This will give you the width of Rectangle

Multiply the height and width of Rectangle to find the area

Given:

Chandra get a bonus if average quarterly sales for an year exceeds $70000.

From the bar diagram, we can find the sales for each quarter.

The height of each bar gives the sales for each quarter.

Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.

The sales for the first quarter is $40000.

The sales for the second quarter is $100000.

The sales for the third quarter is $80000.

Let x be the sales for the fourth quarter.

Now, the average of the quarterly sales is,

Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.

So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.

Hence, option D is correct.

Answer:

Yes, Nevin scored 96 points.

Step-by-step explanation:

[tex](58 \times 1.75) - (22 \times .25)[/tex]

[tex]101.5 - 5.5 = 96[/tex]

[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=5.2\\ A=26.58 \end{cases}\implies 26.58=\cfrac{1}{2}(5.2)h \\\\\\ 26.58=2.6h\implies \cfrac{26.58}{2.6}=h\implies 10.22\approx h[/tex]

The expression that is equivalent to (5^-2)^5 x 5^4 from the given equations is c)1/5^6.

To determine this expression , we will need to simplify the equation ,so as to know the equivalent expression.

The expression that is been given from the question is  (5^-2)^5 x 5^4

This expression can be simplified as (5^-10) * (5^4)

Then this expression can be further simplified as :

5^-6

Then this can as well be simplified as 1/(5^6)

This implies that the best option that can be equated with this equation is   1/(5^6).

Therefore, option C is correct.

Learn more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

x and y coefficients, are the same, equal, are

As x and 68° are alternate interior angles, so, x = 68°.

We are given a set of parallel lines and a transversal.

We can see that:

The type of angle pairs is alternate interior angles.

( as it forms an inverted F-shape)

Now, these angles are 68° and x°.

So, we know that, the alternate interior angles are equal to each other.

So, we get that:

x = 68°

Therefore, as x and 68° are alternate interior angles, so, x = 68°.

Learn more about interior angles here:

https://brainly.com/question/24839702

#SPJ9

Answer:

Out of the 1,200 people who attended the concert in question, 0.75% would not see the band again.

Step-by-step explanation:

There were 1,200 people in total at the concert and out of these, 9 people said that they would not see the band again.

In percentage terms, this is expressed as:

= Number of people who would not see band again / Total number of people who attended x 100%

= 9 / 1,200 x 100%

= 0.75 %

In conclusion, 0.75% of people who attended would not see the band again.

Answer:

The tangent line using limits/ derivatives is  y=42x-42

Step-by-step explanation:

Answer:

f(x) = (3·x^2 + x - 4)·(2·x^3 + 3·x + 1)

f(x) = 3·x^2·2·x^3 + 3·x^2·3·x + 3·x^2·1 + x·2·x^3 + x·3·x + x·1 - 4·2·x^3 - 4·3·x - 4·1

f(x) = 6·x^5 + 9·x^3 + 3·x^2 + 2·x^4 + 3·x^2 + x - 8·x^3 - 12·x - 4

f(x) = 6·x^5 + 2·x^4 + x^3 + 6·x^2 - 11·x - 4

f'(x) = 30·x^4 + 8·x^3 + 3·x^2 + 12·x - 11

tangent at x = 1

f(1) = 6·1^5 + 2·1^4 + 1^3 + 6·1^2 - 11·1 - 4 = 0

f'(1) = 30·1^4 + 8·1^3 + 3·1^2 + 12·1 - 11 = 42

t(x) = f'(1)·(x - 1) + f(1)

t(x) = 42·(x - 1) + 0

t(x) = 42·x - 42 + 0

t(x) = 42·x - 42

Answer:

the answer is 27.5

Step-by-step explanation:

the decimal point should be placed in the ones place...I think

The proof that "u" is a subspace of "v" is given below.

Suppose that t:v->w is a linear transformation where "v" and "w" are vector spaces.

Let "z" be the subspace of "w".

Since "t" is a linear transformation, the zero vector of "w" is in "z".

Let x, y ∈ U.

Then t(x), t(y) ∈ z.

Since, "z" is a subspace of "w".

So, "z" is closed under vector addition.

Thus, t(x) + t(y) ∈ z.

Now, t(x) + t(y) = t(x + y), since, t is a linear transformation.

Therefore, t(x + y) ∈ z.

Thus, x + y ∈ u.

Therefore, "u" is closed under vector addition.

Hence proved.

Learn more about vectors here:

https://brainly.com/question/13322477

#SPJ4

First let's find the value of x using the Pythagorean theorem in the left small triangle:

Now, finding the value of y with the Pythagorean theorem in the right small triangle, we have:

The area of the triangle is calculated with the formula:

Where b is the base and h is the height relative to this base. Using b = 6 + y and h = x, we have:

Answer:

72 minutes

Step-by-step explanation:

150

-78

72

Answer:

Step-by-step explanation:

1) 2hours??

2) 150-78=72mins

3)24x4=96

96x60=5760

The measure of angle ∠EAD is 29° and ∠CAB is 119°.

So, according to the image ∠CAF is 180°.

Obtain, ∠EAD as follows:

Similarly, ∠CAF = ∠CAB + ∠BAF

Obtain, ∠CAB as follows:

Therefore, the measure of angle ∠EAD is 29° and ∠CAB is 119°.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ9

The correct question is given below:
Find the following angle measures.

mEAD =

mCAB =