3 more than a number t is greater than or equal to 21

[tex]\sqrt[3]{343x^9v^{12}z^6}=\sqrt[3]{343}\cdot\sqrt[3]{x^{3\cdot3}}\cdot\sqrt[3]{v^{4\cdot3}}\cdot\sqrt[3]{z^{2\cdot3}}\\\\=\sqrt[3]{7^3}\cdot\sqrt[3]{(x^3)^3}\cdot\sqrt[3]{(v^4)^3}\cdot\sqrt[3]{(z^2)^3}=7x^3v^4z^2\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\(a^n)^m=a^{nm}\\\\\sqrt[n]{a^n}=a[/tex]

The cube root of 343 is 7, x^9 is x^3, v^12 is v^4, and z^6 is z^2. So the equivalent expression to the cube root of [tex]343x^9v^12z^6[/tex] is 7x^3v^4z^2.

The expression is asking for the cube root of each term. The cube root of 343 is 7 because [tex]7*7*7[/tex]equals to 343. The cube root of x^9 is x^3 because 3*3 equals to 9. Similarly, cube root of v^12 is v^4 because 4*3 equals 12, and cube root of z^6 is z^2 because 2*3 equals 6.

So the equivalent expression is [tex]7x^3v^4z^2.[/tex]

Remember, when dealing with cubic roots and exponential terms, we divide the exponent by 3.

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Answer:

-71

Step-by-step explanation:

[tex]v = u + 5t\\\\5t=v-u\\\\t=\dfrac{v-u}{5}[/tex]

To make t the subject of the formula v = u + 5t, subtract u from both sides and divide by 5.

To make t the subject of the formula v = u + 5t, we need to isolate t on one side of the equation.

First, subtract u from both sides of the equation: v - u = 5t.

Then, divide both sides of the equation by 5: (v - u)/5 = t.

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Answer: 1. 9 feet revelent to the surface2. 19 points

Step-by-step explanation:

As the [tex] g(x)=x^{2}+2[/tex]

To find the value of g(3) we have to put the value of [tex]x[/tex] equal to 3 everywhere in g([tex]x[/tex])

Therefore [tex] g(3)=(3)^2+2[/tex]

on solving the equation

[tex]g(3) = 9+2 [/tex]

[tex] g(3) = 11 [/tex]

Hence g(3) =11 is the answer

Hope this will help

Remark

There are a couple of ways to do this. The easiest is to take the number of degrees between 42 and - 54 and divide by 12.

Method

the number of degrees is abs(42) + abs(-54) = 42 + 54 = 96

Now divide by 12

Hours = 96 / 12 = 8 hours. I think the answer is A.

Answer:

Its 8hrs

Step-by-step explanation:

3x+1+3x+1+2x+2x    or    2(3x+1+2x)

10x+2

Answer:

11.00

Step-by-step explanation:

To calculate the interquartile range of the data:

5, 5, 6, 7, 9, 11, 14, 17, 21, 23

To calculate the interquartile range we need to lower quartile [tex](X_L)[/tex] and upper quartile [tex](U_L)[/tex].

The lower interquartile [tex](X_L)[/tex] of the data set is: 6.

The upperquartile [tex](U_L)[/tex] of the data set is: 17.

Therefore, the interquartile range is:  [tex](X_U-X_L)=(17-6)=11[/tex].

Answer:

11

Step-by-step explanation:

here is a easer way to explain you need the highest aand lowest number so thats 5 and 23 23-5=18 5 6 7 9 11 14 17 21 18=108 108/10=10.8 now you round the 8 and its 11

Sales tax paid by Donte = [tex]\frac{5.6}{100} (5)[/tex]

= 0.28

Sales tax paid by Trista = [tex]\frac{7}{100} (5)[/tex]

= 0.35

The extra tax paid by Trista = 0.35 - 0.28 = 0.07.

Hence, Trista paid $0.07 more than Donte.

Hey there!!

What is slope-intercept form ?

Ans :- y = mx + b

Where ' m ' is the slope and ' b ' is the y-intercept.

Equation given :- y = kx + 2

Now, we know k is m or the slope and 2 y-intercept.

y-intercept can be given as a coordinate.

Hence, y - intercept 2 can be written as ( 0 , 2 )

Now we have 2 coordinates, ( 0 , 2 ) and ( -7 , 12 )

How do we find slopes ?

Ans :- Slope = [tex]\frac{y2- y1 }{x2-x1}[/tex]

Plugging in the values :

Slope = [tex]\frac{12-2}{-7-0}[/tex]

Slope = [tex]\frac{-10}{7}[/tex]

Hence, the value of 'k' is [tex]\frac{-10}{7}[/tex]

Hope my answer helps!

Answer:

k = -10/7

Step-by-step explanation:

1. Plug in (x,y)

2. You would get -7k+2=12

3. If you solve for k, you would get:

-7k = 10

k= -10/7

Hope this helped some people, and have a great day!

To determine the size of the home video collection one can save, subtract the used space (122 GB) from the total hard drive capacity (160 GB). The remaining space is 38 GB, which is the maximum size for the home videos that can be saved. The inequality representing the available space in terms of 'a' is: a ≤ 38 GB.

The subject of this question is a practical application of mathematics related to computer storage space.

If the computer's hard drive has a total capacity of 160 GB and you have already used 122 GB, we can determine the remaining available space with a simple subtraction: 160 GB - 122 GB = 38 GB.

So, the size of the home video collection that you can save cannot exceed 38 GB.

To represent this as an inequality where u is the amount used, and a is the amount available, we can write:

u + a ≤ 160 GB

Since you've used 122 GB already, the inequality in terms of a alone is:

a ≤ 160 GB - 122 GB

a ≤ 38 GB

This inequality states that the amount of additional data (home videos) you can save, denoted as a, should be less than or equal to 38 GB, which is the available space remaining on your hard drive.

Final answer:

To determine the available space on your hard drive, subtract the amount used from the total capacity. The possible sizes of the home video collection you can save range from 0GB to a maximum of 38GB. The inequality a ≤ 38GB represents the amount of space available.

Explanation:

To determine the amount of space available, you subtract the amount of space used from the total capacity. In this case, the total capacity is 160GB and the amount used is 122GB, so the amount of space available is 160GB - 122GB = 38GB.

Therefore, the possible sizes of the home video collection you can save range from 0GB (if you don't save any videos) up to a maximum of 38GB (if you save videos that take up the entire available space).

The inequality that represents this is: a ≤ 38GB, where 'a' represents the amount of space available.

[tex]4+\dfrac{3}{5}\left(15+2x\right)=25\\\\\dfrac{3}{5}\left(15+2x\right)=21\\\\15+2x=35\\\\2x=20\\\\x=10[/tex]

Answer:

6.4 oz are left.

Step-by-step explanation:

Start with the bottle being half full.

A bottle that is half full when it started with 16 oz is 1/2 16 oz = 8 oz

If he drinks 1/5 of the remaining amount, it means that he has 4/5 left.

4/5 * 8 = 32/5 = 6.4 oz or 6 oz and 2/5 of an ounce.

Answer:

6.4 oz are left

Step-by-step explanation:

Answer: 14

Reasoning behind it: If you take 21 and subtract it by 7, you get 14. You can check this answer by doing this:

14+7=21.

Hope this helped!!!

common differences d = 7

A1 = 6

arithmetic sequence:

A(n)  = A1  + d(n - 1)

A(n) = 6 + d(n - 1)

Hope it helps

Answer:  No, she will not make it tot he best fishing spot on the lake.

Step-by-step explanation:

Since we have given that

Distance between the starting point and the best fishing spot = 27 miles

Speed at which Ameena drives = 35 miles per hour

Time she takes to drive her boat is given  by

[tex]\frac{2}{3}\text{ of an hour}[/tex]

As we know that ,

[tex]Distance=Speed\times time\\\\Distance=35\times \frac{2}{3}\\\\Distance=\frac{70}{3}\\\\Distance=23.33\text{ miles}[/tex]

But we have given that the best fishing spot in the lake is 27  miles away from her starting point ,

[tex]\text{And with this speed in }\frac{2}{3}\text{ of an hour he reached only }23.33 \text{ miles. }[/tex]

So,

No, she will not make it tot he best fishing spot on the lake.

No, she will not

Find how far Ameena's boat will have traveled at two thirds of an hour.

(35 miles per hour) (2/3 of an hour)= 23.33 miles

Ameena's boat will have traveled just over 23 miles. She will not have reached the best fishing spot which will still be approximately another 4 miles away.

To find how far Ameena's boat has traveled you multiplied the speed by the time, but since time is now the unknown variable, divide the distance by the speed

27 miles divided by 35 miles per hour to get 0.77 hours

What is the conversion for hours to minutes?

0.77 = 46.2 minutes

Answer:

15/100

0.15 is 15 hundredths, which can also be written as 15/100. If you say the decimal out loud, and then the fraction out loud, you say them the same.

Answer:

f

Step-by-step explanation:7574

let's firstly convert the mixed fraction to improper fraction, and then divide it by 4 to see what our quotient is.

[tex]\bf \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div 4\implies \cfrac{9}{4}\div \cfrac{4}{1}\implies \cfrac{9}{4}\cdot \cfrac{1}{4}\implies \cfrac{9}{16}[/tex]

Answer:

[tex]\frac{9}{16}[/tex] cups of raisins are in each serving

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity as 1 such as 2 meter per seconds or 4 miles per hour.

As per the statement:

The bake star bakery uses 2 1/4 cups of raisins to make 4 servings of trail mix.

⇒Cup of raisins = [tex]2\frac{1}{4} = \frac{9}{4}[/tex] and number of serving  = 4

We have to find the cups of raisins are in each serving

Then by definition of unit rate we have;

[tex]\text{unit rate per serving} = \frac{\frac{9}{4} }{4} = \frac{9}{16}[/tex] cups of raisins

therefore, [tex]\frac{9}{16}[/tex] cups of raisins are in each serving

If the $9 is 3/5 of the amount of the present, then it will be 9 divided by 0.60, which is 15. You can check this by putting in 15 times 0.60, which is 9

4c+5

hope that helps you out

The sum (c−4)+(3c+9) is 4C+5

(c−4)+(3c+9)

⇒C-4+3C+9

⇒(C+3C)+(-4+9)

⇒4C+5

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The answer will be A.4

the answer is a) 4

yay

5 . x ÷ 7 = 10 or less

5 . 14 = 70 ÷ 7 = 10

The unknown number, when multiplied by five and divided by seven, has to result in a value of 10 or less. To find this number, we solve the inequality 5x / 7 <= 10 and find that x must be less than or equal to 14.

The question is asking for a number that, when multiplied by five and then divided by seven, yields a result of 10 or less. Let's denote the unknown number as x. We can put this into a mathematical inequality:

5x / 7 <= 10

To solve for x, we first multiply both sides by 7 to cancel the denominator on the left side:

5x <= 70

Then, we divide both sides by 5 to isolate x:

x <= 14

Therefore, the number must be less than or equal to 14.

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Hi!

Equation: Y = P% * X

X = Y/P%

X = 41.8/67%

p = 67/100 = 0.67

X = 41.8/0.67

Answer:

X = 62.3881

To calculate the total amount Aleta spent, including the tip, multiply the bill ($36) by the tip percentage (15%) to get the tip amount ($5.40) and add it to the bill to get the total cost ($41.40).

The question asks us to calculate the total amount Aleta spent on dinner including a 15% tip. To find the tip amount, we multiply the bill by the tip percentage in decimal form. The bill is $36, so we calculate 15% of $36 as follows:

0.15 × $36 = $5.40

The total cost of the meal including the tip is $36 (the original bill) + $5.40 (the tip) = $41.40.