Which values are solutions of the inequality 7 > 2 - 4?
Choose ALL that apply.

6
7
10
11
20

Answer:

option C is correct answer.

hope this helps you !

Answer:

protecting your personal belongings as a renter.

Step-by-step explanation:

your TVs, laptops, furniture, jewelry, etc.

[tex] \Large{\boxed{\sf Option \ A) \ Slope = -2 }} [/tex]

[tex] \\ [/tex]

To find the value of the slope of the line that passes through the points (5 , -11) and (-9 , 17), we will have to use the slope formula.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope \ formula \text{:}} \\~ \\ \tt m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1}\end{array} \right] } [/tex]

Where m is the slope of the line.

[tex] \\ [/tex]

To apply the above formula, we first need to identify our values.

[tex] \sf (\underbrace{\sf 5}_{x_1} \ , \ \overbrace{\sf -11}^{y_1} ) \ \ and \ \ (\underbrace{\sf -9}_{x_2} \ , \ \overbrace{\sf 17}^{y_2} ) [/tex]

[tex] \\ [/tex]

Let's substitute these values into the formula:

[tex] \longrightarrow \sf m = \dfrac{17 - (-11)}{-9 - 5} \\ \\ \\ \longrightarrow \sf m = \dfrac{17 + 11}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{28}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{7 \cdot 4}{7 \cdot (-2)} \\ \\ \\ \longrightarrow \sf m = -\dfrac{4}{2} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf m = - 2}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope formula here:

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Gradient (m) of a Line :

[tex]\underbrace{\rm{ m = \dfrac{y_2 - y_1}{x_2-x_1}}}_{m}[/tex]

Substituting the known values ,

➱ [tex]\rm{m=\dfrac{17-(-11)}{-9-5}}[/tex]

➱ [tex]\rm{m=\dfrac{17+11}{-14}}[/tex]

➱ [tex]\rm{m=\dfrac{28}{-14}}[/tex]

➱ [tex]\rm{m=-2}[/tex]

Henceforth, Gradient = -2

Answer: One root

Explanation:

x^3 = -343

x^3 + 343 = 0

x^3 + 7^3 = 0

(x+7)(x^2 - 7x + 7^2) = 0 .... sum of cubes factoring rule

(x+7)(x^2 - 7x + 49) = 0

Set each piece equal to zero and solve for x.

You should find that the first piece x+7 = 0 leads to x = -7 as the only real root.

The other piece x^2-7x+49 = 0 leads to two non-real roots, ie complex roots.

Answer:

50

Step-by-step explanation:

400x2.5

Answer:

a four is correct answer

Answer:

A. 4

Step-by-step explanation:

Side AE corresponds to EC, so the scale factor is 3.

12/3=4

Hope this helps :)

Answer:

35t + 20k

Step-by-step explanation:

Let t = number of toddlers.

Let k = number of kids.

Her pay is

35t + 20k

Solution:

Given that:

Substitute the value of y into equation #2.

Since the equation has no variable and is false, this system has no solution.

We have the identity

[tex]\left(\sqrt x + \dfrac1{2^n}\right)^2 = x + \dfrac1{2^{n-1}} \sqrt x + \dfrac1{2^{2n}}[/tex]

Take the square root of both sides and rearrange terms on the right to get

[tex]\sqrt x + \dfrac1{2^n} = \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt{x} + \dfrac1{2^{n+1}}\right)}[/tex]

Decrementing n gives

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \left(\sqrt{x} + \dfrac1{2^{n}}\right)}[/tex]

and substituting the previous expression into this, we have

[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right) } }[/tex]

Continuing in this fashion, after k steps we would have

[tex]\sqrt x + \dfrac1{2^{n-k}} = \sqrt{x + \dfrac1{2^{n-(k+1)}} \sqrt{x + \dfrac1{2^{n-k}} \sqrt{x + \dfrac1{2^{n-(k-1)}} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

After a total of n - 2 steps, we arrive at

[tex]\sqrt x + \dfrac14 = \sqrt{x + \dfrac12 \sqrt{x + \dfrac1{2^2} \sqrt{x + \dfrac1{2^3} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]

Then as n goes to infinity, the first nested radical converges to √x + 1/4. Similar reasoning can be used to show the other nested radical converges to √x - 1/4. Then the integral reduces to

[tex]\displaystyle \int_e^{e^2} \left(\sqrt x - \frac14\right) + \left(\sqrt x + \frac14\right) \, dx = 2 \int_e^{e^2} \sqrt x \, dx = \boxed{\frac43 \left(e^3 - e^{\frac32}\right)}[/tex]

Answer:

There are 112 cans in each box.

Step-by-step explanation:

You divide 1008 by 9, so that gives you 112.

Hope it helps!

Answer:

$18.75

Step-by-step explanation:

25/4 = 6.25

25-6.25=18.75

$18.75

Answer:

Step-by-step explanation:

The expression 400(1.12)^y is an exponential function

The true statement is that the growth rate of the fish in the lake is 12%

The expression is given as:

400(1.12)^y

The above expression is an exponential growth function,

Where:

Next, we calculate the growth rate (r) as follows:

r = 1.12 - 1

r = 0,12

Express as percentage

r = 12%

Hence, the true statement is that the growth rate of the fish in the lake is 12%

Read more about exponential functions at:

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Answer:

The answer is 8 pi

Step-by-step explanation:

The formula is radius squared times pi!

I hope this helped!!

Answer:

I think its D

Step-by-step explanation:

Answer:

9/8

27 divided by 3 = 9

24 divided by 3 = 8

I hope this helps!

The ratio in the simplest form of 27 to 24 is equal to 9:8 or 9/8.

When comparing two or more numbers, the phrase ratio is used in mathematics. When one quantity is related to another, it can be used to show how big or tiny it is. Division is used to compare two quantities in a ratio. The term "antecedent" in this context refers to the dividend, and "resultant" to the divisor.

From the given information in the question,

To find the simplest form, divide numerator and denominator with the same number.

Numerator = 27 feet

In simple form = 27/3 = 9

Denominator = 24 yards = 72 feet

In simple form = 72/3 = 24

= 9/24

= 3/8 is the simplest form.

To know more about ratio:

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Hello.

Let's find the multiplicative inverse of -100.

In order to do that, we need to write -100 as a fraction:

[tex]\bf{\displaystyle\frac{-100}{1}[/tex]

Now, in order to find the multiplicative inverse of -100, we should flop the fraction over:

[tex]\bf{\displaystyle\frac{1}{-100}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

answer:

74

Step-by-step explanation:

The sample size for the given confidence interval is 96.

A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.

Given confidence of margin is at 95%

E = 0.1 = margin of error

95% confidence interval of Z = 1.96

sample size = n, which is given by

n = (Z/E)²(p)(1 - p)

n = (1.96/0.1)²(0.5)(0.5)

n = 96.04 = 96 approx

Hence, the sample size is 96.

Learn more about confidence intervals;

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Answer: For this question, the answers are as follows:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

Part A: The slope of a line is y=mx+b

equation for this part would be : d=mt

plug in the value: d=3.6t

Part B: The value of t is 3 hours

Plug everything in: 3.6 (3)= 10.8 miles

Part C: The Distance given is 4.32 miles.

4.32 miles = 3.6 hours

then divide both sides by 3.6

you get  t=1.2 hours

Hope this helped and didn't confuse you!

Step-by-step explanation:

first lets do the bottom rectangular prism

v = l * w * h

l = 9

w = 3

h = 3

can you work out the volume and answer in the comments

x2+y2+8x+6y=0

x2+8x+6y+y=0

9x2+7y2

15x2y2

Answer:

the answer for the question is N=6

Answer:

6 laps they will run

Step-by-step explanation:

I say 6 laps because if you do 42/7 then you will get 6 so 6 laps.

Answer:

A soda costed $3.50.

Step-by-step explanation:

Step 1) We know that a slice of pizza and a soda costs $9 (from Kate's order). With a burger added (Billy's order) it would cost $13.50.

So a burger would cost $4.50:

[tex]13.50-9=4.50[/tex]

Step 2) We also know a burger and a soda costs $8. So we subtract the cost of the burger from Louis' order to find the cost of the soda:

[tex]8-4.50=3.50[/tex]

Cost of soda: [tex]\$3.50[/tex]

Answer:

It's probably 9+59=68

Step-by-step explanation:

=> 9+59=68

68 - 59 gives you 9

So in order to check if the problem was solved correctly you will add the answer plus the subtraction of one number in the two numbers of subtraction

which means between the options 9 + 59 equals to 68 is absolutely the correct answer

Answer:

x=[tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

Answer:

The triangle is obtuse if one angle is between 90º and 180º.

More : Acute < 90º, right = 90º, reflex > 180º (straight 180º, full rotation 360º)

Answer:

b = 4, or -4

Step-by-step explanation:

b^2 - 4*4*1 = 0

b^2 = 16

b = 4, or -4