Monica has saved $3500 to open a cupcake shop. She must pay a security deposit of $800 and
$500 each month for rent. How many months will Monica's savings last?

Answer:

See below.

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Solution :-

Answer:

57

Step-by-step explanation:

79-22=57

Answer:

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Step-by-step explanation:

Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.

Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.

As a result:

∠1 = [tex]180-85=95[/tex]°

∠2 = [tex]180-45=135[/tex]°

∠3 = [tex]180-50=130[/tex]°

Mr. Reams has 7 cups of paint after filling 40 small plates with two ounces of liquid paint.

To calculate how many cups of paint Mr. Reams has left after filling 40 plates with two fluid ounces of paint, we must take into account the following information:

To find out how many cups are equal to 40 ounces, we must perform the following operation.

Based on the above, Mr. Reams used up 5 cups of paint, so he has 7 cups of paint left which equals 56 fluid ounces of paint.

12 - 5 = 7

Learn more about painting in: https://brainly.com/question/25795412

Answer:

2.88x=7.2

x=7.2/2.88

x=2.5

=)

Answer:

x=4

Step-by-step explanation:

btw that's what M a t h w a y.

Answer:

The last one is correct answer.

Answer:

  y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}

Step-by-step explanation:

The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.

Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.

For x < 2:

  y = (3 -x) +(2 -x) -(5 -x) = -x

For 2 ≤ x < 3:

  y = (3 -x) +(x -2) -(5 -x) = x -4

For 3 ≤ x < 5:

  y = (x -3) +(x -2) -(5 -x) = 3x -10

For 5 ≤ x:

  y = (x -3) +(x -2) -(x -5) = x

In summary, the equation can be written ...

  [tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]

_____

Additional comment

The absolute value function itself can be described by ...

  [tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]

Answer:

the answer is easy.. I'm glad to help you out. it is 0.018+ 3.1 × 10^-3. just simply remove the bracket

Answer:

-8

Step-by-step explanation:

-24=6-(4x24)+18= 6-96+18=-90+18=-72

-8=6-(4x8)+18= 6-32+18=-26+18=-8

Answer:

Choice: (3) -12 -(-7)

Step-by-step explanation:

The distance between two points is by definition a positive number. If we wanted to know the distance between points 5 and 8, we should use the absolute value of the difference:

d=|5-8|=8-5=3

The same applies to negative points like -2 and -7:

d=|-2+7|=|2-7|=7-2=5

The only choice that does not result in a positive distance is (3) because

-12-(-7)=-12+7=-5

Thus this is not a distance between two points on a number line.

Choice: (3) -12 -(-7)

Answer:

I think option D is the correct answer

Answer: I think it is C

Step-by-step explanation: 32/4=8 so 1 cm = 8km

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

Explanation:

According to the Fundamental Theorem of Calculus, we can say

[tex]\displaystyle f(x) = \int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = \frac{d}{dx}\int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = f(x)\\\\[/tex]

Then think about a function in which its derivative is itself. The first thing that should come to mind is the exponential function [tex]f(x) = e^x[/tex]. There aren't any other functions that fit the description. The proof of this is lengthy and involves ODE (ordinary differential equations), so I'm not sure how far along in your calculus class you are.

Anyways,

[tex]f(x) = e^x\\\\\\f(\ln(5)) = e^{\ln(5)}\\\\\\f(\ln(5)) = 5\\\\\\[/tex]

The exponential base 'e' cancels out with the natural log.

We are given with a function and a condition of the respective function too, consider the given what we have ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(t)\: dt}[/tex]

By using the variable changing property we can change the Integrand and it will yield ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(x)\: dx}[/tex]

Now , let assume that

[tex]{:\implies \quad \displaystyle \sf \int f(x)dx=F(x)}[/tex]

Now, differentiating both sides wr.t.x (using Newton - Leibnitz's rule for Differentiating a function under the integral sign)

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\bigg\{F(x)\bigg|_{0}^{x}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}-\dfrac{d}{dx}\{F(0)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=f(x)}[/tex]

So now, we have a function whose derivative is equal to the respective function, now if you differentiate both sides again you will get [tex]{\bf{f^{\prime \prime}(x)=f^{\prime}(x)}}[/tex] and similarly you can get [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] . And their is only one function which satisfies this condition for f(x) defined from [tex]{\mathbb{R}}[/tex] to [tex]{\mathbb{R}}[/tex] i.e the exponential function, you just can prove this fact easily by using the Maclaurin's series, so we now arrived on the conclusion that [tex]{\bf{f(x)=e^x}}[/tex] , so now [tex]{\bf{f\{ln(5)\}}}[/tex] will be [tex]{\bf{e^{ln(5)}}}[/tex] i.e hence on simplifying [tex]{\bf{f\{ln(5)\}=\boxed{\bf 5}}}[/tex]

This is the required answer

Note :- If you want to prove the fact that for [tex]{\bf f\: : \: \mathbb{R}\to \mathbb{R}}[/tex], such that [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] is [tex]{\bf{f(x)=e^x}}[/tex], you can prove it by using the Maclaurin's series, and if you want it's proof too, I will prefer you seeing once here ;

https://brainly.com/question/27031371

Answer:

should have multiplied both x and 2 by 3.

3x + 6

Answer:Real estate agent

Step-by-step explanation:

got it right

Answer:

Real Estate Agent

Step-by-step explanation:

Answer:

c=11

Step-by-step explanation:

We have two points ( 6,5) and (7,c) and a slope of 6

The slope formula is

m = ( y2-y1)/(x2-x1)

6 = (c-5)/(7-6)

6 = (c-5)/1

6 = c-5

Add 5 to each side

6+5 = c-5+5

11 =c

Step-by-step explanation:

Let's start by simplifying our light terms.

[tex]q = \frac{33 \times 10 {}^{9} }{11 \times 10 {}^{7} } [/tex]

33 is divisible by 11 so i can simplify up and down by 11.

[tex]q = \frac{3 \times 10 {}^{9} }{1 \times 10 {}^{7} } [/tex]

Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;

[tex]q = \frac{3 \times 10 {}^{9 - 7} }{1 \times 10 {}^{7 - 7} } = \frac{3 \times 10 {}^{2} }{1 \times 10 {}^{0} } = \frac{3 \times 10 {}^{2} }{1 \times 1} [/tex]

[tex]q = 3 \times 10 {}^{2} [/tex]

And that is your scientific notation.

Answer:

Period:  [tex]\pi[/tex]

Midline:  y = -3

Amplitude:  4

Range:   [-7, 1]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]\pi[/tex]

Midline - center line

Range = -7 ≤ f(x) ≤ 1

[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]

⇒ Midline:  y = -3

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 1

center line:  y = -3

Therefore, amplitude = 1 - (-3) = 4

Range - the set of all values that the function takes

-7 ≤ f(x) ≤ 1  →  [-7, 1]

#Period

Find the distance between two peaks

#Midline

Range of the pitch (Peak to trough distance)

Midline:-

[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]

#Amplitude

Distance:-

#Range

The pitch

Answer:

1.25 is the common difference

Step-by-step explanation:

Answer: reflection across y = x

Step-by-step explanation:

Answer:

Rotation of 180°

Step-by-step explanation:

Answer:

Space inside tent is 60m³

Step-by-step explanation:

Given length 6m, width 4m is rectangular base and height of tent 5m

Space = Volume of Pyramid = ⅓ × area of base × height

⅓ × 6 × 4 × 5 = 60m³

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

n is equal to -3

Step-by-step explanation:

11n - 11 + 35 = 3n

11n + 24 = 3n

11n - 3n = -24

8n = -24

n =-3

Answer:

n is equal to -3

Step-by-step explanation:

.

The 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].

A confidence interval is a set of calculations for an unrecognized parameter that is specified as a range with a lower and upper bound.

If we take an n-sample from a normal population and wish to estimate the population mean, the confidence interval for the mean is:

[tex]\bar x[/tex]±[tex]Z_\frac{\alpha }{2} \times \frac{s}{\sqrt{n} }[/tex]

The level of significance is found by;

[tex]\rm \alpha =1- \ condifidence\ level \\\\\ \rm \alpha =1- 0.99 \\\\\ \rm \alpha = 0.001[/tex]

The value of z is

[tex]\rm Z_{\frac{\alpha}{2}} = \rm Z_{\frac{0.01}{2}} = Z_{0.005}=2.58[/tex]

Hence the 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].

To learn more about the confidence interval refer to the link;

https://brainly.com/question/2396419

Answer:

x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction

Step-by-step explanation:

The answer above is correct.

Answer:

The average amount spent is $120

Step-by-step explanation:

To find the average, divide 600 by 5 to get 120.

Answer:

120

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

hope this helps!

Answer:

The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.

Step-by-step explanation:

All you needed to do was add.

Hope this helps you out

Answer:

No. of Permutations=3360.

Step-by-step explanation:

[tex]watch.some.anime[/tex]

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer: She wants to reduce costs

Step-by-step explanation:

Answer:

She wants the construction to move more quickly

Step-by-step explanation:

this was the correct answer as shown on the quiz. the choices were changed

Answer:

$17.50

Step-by-step explanation:

5/7 = 50/70

this means that 50 of the 70 lollipops were grape

0.35*50 = money earned from grape lollipops.

0.35*50 = 17.50

this means that Carmen earned $17.50 from the sale of the grape lollipops.

Hope this helps!