Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

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its alright, not the best but its good.

Answer:

very nice!

Step-by-step explanation:

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

Answer:

3

Step-by-step explanation:

   1                 ×3              =3

apple jam      times          strawberry

Answer:

y = -4/3

x = 14/3

Step-by-step explanation:

2x+y=8

x-y=6

First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.

2x+y=8

2x-2y=12

Then we need to subtract equation 1 from 2.

3y=-4

Solve normally

y = -1.33333 / -4/3

Substitute

x - (-4/3) = 6

x = 14/3

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]

from equation (i):-

[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]

[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

now,

[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]

put value of y in equation (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

Answer:

15

Step-by-step explanation:

since there is 7 teams and 12 can be the minimum we can do 7 x 12=84

this means that 3 people could possibly be on one single team.

the maximum number is 12+3=15

Answer:

this joke is getting old lol

Step-by-step explanation:

Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Mean is the average of the objects

With five people, the mean is the average age of these people so what did you divide 5 into to get 39.

5 × 39 = 195

After a person enter the room, total 6 in the room with a mean of 36.

6 × 36 = 216

Now the age of the person who entered the room  216 - 195 = 21

Answer:

600

Step-by-step explanation:

Take the number that answered lavender and divide by total # of students surveyed

49/75 = .653333 or 65.3%

then take the total # of students and multiply by .6533333

908x .6533333 = 593.22

so the closest estimate is 600

-- Gage Millar, Algebra 1/2 tutor

Answer:

The range of F(x) = logo x is the set of all real numbers is True.

Step-by-step explanation:

Yes, Because range of the logarithmic function is the set of ''all real numbers.'

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ f (x) = log x

Now,

The given function is a logarithmic function.

And, The range of the logarithmic function is the set of all real numbers.

Hence, The range of function F(x) = log x is the set of all real numbers.

Thus, The range of F(x) = log x is the set of ''all real numbers''.

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Answer:

[tex]w^{5}[/tex], w to the power of 5

Step-by-step explanation:

[tex]\frac{w^3}{w^-2}[/tex]

When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]

Hope this helps!

0.6 KL = 600 grams

you can always use the ladder method

Answer:

24p-8

Step-by-step explanation:

Perimeter just means add up all the sides

(10p+6)+(2p-10)+(10p+6)+(2p-10)

= 24p-8

Answer:

Step-by-step explanation:

The perimeter of a circle is 2πr

r here is 7 so the perimeter of the full circle is 14π which is 43.9822972

But you only have half a circle, so 43.9822972 / 2 = 21.991148.

But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]

[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]

[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]

[tex]\\ \sf\longmapsto Discount=375/100[/tex]

[tex]\\ \sf\longmapsto Discount=3.75[/tex]

Answer:

discount = $3.75

Step-by-step explanation:

Given:

[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]

Multiply both sides by 100 to eliminate the denominators:

[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]

Divide both sides by 10:

[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]

Carry out the multiplication on the right side:

[tex]\implies \sf discount \times 10=\$37.50[/tex]

Divide both sides by 10:

[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]

[tex]\implies \sf discount=\$3.75[/tex]

Answer:

104.7%

Step-by-step explanation:

When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:

1.047 = 104.7%

And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.

~

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

Answer:

$6.40

Step-by-step explanation:

9.15-2.75=6.40

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

Answer:

(ii) 6 cm, 1.1 cm, 6.1 cm

Step-by-step explanation:

Knowing that all right triangles obey the Pythagorean Theorem, we can test both sets of numbers. The longest of the 3, the hypotenuse, is substituted to the c value of the equation a^2 + b^2 = c^2. If the equation is still true after substituting and simplifying both sides, that combination of triangle lengths is the correct answer. In this case, 6^2 + 1.1^2 and 6.1^2 are both equal to 37.21, so the second set is correct.

Answer:

[tex]f(-3)=-18[/tex]

Step-by-step explanation:

Since

[tex]f(x)=5x-3[/tex], we can plug in our values

[tex]f(-3)=-15-3[/tex]

Combine like terms

[tex]f(-3)=-18[/tex]

Answer:

2,270

Step-by-step explanation:

HOPE IT HELPED >:D

Answer:

2270 dollars

Step-by-step explanation:

You know each group has 25 dancers and then you multiply 80 by 25 to get the cost of group a. Then you just subtract 2000 from your total to get your answer.

Answer:

-1/6

Step-by-step explanation:

[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]

Answer:

  (a)  A is steeper; 4/5 > 2/5

Step-by-step explanation:

The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.

The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...

  slope = rise/run = 2/5

This eliminates choice C.

The correct description of the relationship is the first one:

  Equation A has a steeper slope, because 4/5 is greater than 2/5.