⚠️⚠️⚠️
joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

the answer is one .two  can only go into itself once hope this helps :)

Answer:

The answer is 1.

Step-by-step explanation:

To solve this problem, first you set up the division equation.

2 ÷ 2

Then, solve.

2 ÷ 2 = 1.

Therefore, 1 is the answer.

Answer:

After 45.7 years

Step-by-step explanation:

∵ r = 1/2% per year

∵ P0 = $40

∵ Pn = $50

∵ Pn = P0 ( 1 + r/100)^n-1

∵ P0 is initial value , Pn is the value after n years , is the rate

∴ 50 = 40 (1 + 0.5/100)^n-1

∴ 50/40 = (1.005)^n-1

∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides

∴ ln(1.25) = (n-1)ln(1.005)

∴ n - 1 = ln(1.25)/ln(1.005)

∴ n = ln(1.25)/ln(1.005)  + 1 = 45.7 years

You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.

The prime factorization of 360 is 2^3 * 3^2 * 5.

You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360

Answer:

9.9

Step-by-step explanation:

Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;

x^2 = 18^2 - 15^2

x^2 = 99

x = sqrt(99) = 9.9

Answer:

9.9

Step-by-step explanation:

To find the value of x, we use the Pythagorean Theorem.

[tex]a^{2}+b^{2}=c^{2}[/tex]

a = x

b = 15

c = 18

[tex]x^{2}+15^{2}=18^{2}[/tex]

[tex]x^{2} + 225 = 324[/tex]

[tex]x^{2}=342-225[/tex]

[tex]x^{2}=99[/tex]

[tex]\sqrt{x^{2} }=\sqrt{99}[/tex]

[tex]x=9.95[/tex]

Answer:

Hi,

These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.

Step-by-step explanation:

Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.

Best wishes!

Answer:

the Answer is irrational

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a rectangle with dimensions 12 ft × 6 ft in the base of the pyramid and two pairs of triangles with a base of 12 ft and 6 ft and heights of 8 ft and 9.5 ft.

The area of a base:

[tex]A_B=(12)(6)=72\ ft^2[/tex]

The areas of the triangles:

[tex]A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_B+2A_1+2A_2[/tex]

Substitute:

[tex]S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2[/tex]

In order to find median, you have to line up the numbers from least to greatest and then find the middle.

Least to greatest:

5 7 7 8 8 13

Answer:

8 + 7 = 15

15/2 =

7.5

Answer:

the median is 7.5

Step-by-step explanation:

put the numbers in order from least to greatest which would be 5, 7, 7, 8, 8, 13

on a sheet of paper write them in order like above ^

then cross out each number on the end like this (you will cross them out, i am going to delete the ones that are needed to be crossed out.)

5 7 7 8 8 13

   7 7 8 8

       7 8

with 7 and 8 add them togethef and you should get 15.

Finally take 15 and divide it by 2 because there is two numbers in the middle and you should get 7.5

your final answer should be 7.5 for the median.

I hope thid helped <33

If n is negative, we have

[tex] 5+x = n<0[/tex]

So, in particular, we have

[tex]5+x<0 \iff x<-5[/tex]

So, x must be smaller than -5

The true statement about the equation [tex]5+x=n[/tex] is that [tex]5+x=n < 0[/tex] and  [tex]5+x=x < -5[/tex].

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’,

If n is negative, we have

[tex]5+x=n < 0[/tex]

So, in particular, we have

[tex]5+x=x < -5[/tex]

So, x must be smaller than -5

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Answer:

Food.

Step-by-step explanation:

They could eat anything, really.

Answer:

apples

Step-by-step explanation:

The answer is 6x^4

You can find the equation to your question here

https://brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

Answer:

[tex]6x^4[/tex]

Step-by-step explanation:

the expression we have is:

[tex](\sqrt{2x^3})( \sqrt{18x^5} )[/tex]

Because it is a product of two square roots, we can put it together in one:

[tex]\sqrt{(2x^3)(18x^5)}[/tex]

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

[tex]\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8} \\[/tex]

and now we can take the square root of 36 which is 6.

and to take the square root if [tex]x^8[/tex] we divide the exponent by 2:

[tex]=6x^{8/2}\\=6x^4[/tex]

the simplified product is:  [tex]6x^4[/tex]

Answer:

$65

Step-by-step explanation:

Let's add up the flat rate and the cost of four tires:

flat rate + 4($122.57/tire) = $555.28

We are to solve for "flat rate."  First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total.  Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.

Thus, the installation charge ("flat rate") must have been $65.

Answer:

The correct answer is 4pi yd²

Step-by-step explanation:

The area of a circle is calculated using the formula A=πr², where A is area and r is radius of the circle. We obtain the radius of the circle by dividing the length of the diameter by 2, thus, the radius of the circle in the question is 4yd/2=2yd

substituting for the values we get, A= π×(2yd)²

A=4π yd²

ANSWER

[tex]A=4\pi {yd}^{2} [/tex]

EXPLANATION

The area of a circle is calculated using the formula,

[tex]A=\pi \: {r}^{2} [/tex]

The given circle has diameter which is 4 yards.

We divide the diameter into 2, to get the radius.

[tex]r = \frac{4}{2} = 2yd[/tex]

We substitute the radius to obtain,

[tex]A=\pi( {2}^{2} )[/tex]

This gives us,

[tex]A=4\pi {yd}^{2} [/tex]

Answer:

oof, that looks hard

Step-by-step explanation:

Answer:

Divide area by 2

Step-by-step explanation:

the two triangles are half of the paralleogram.

Answer:

551

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex]( first + last)

The number of terms is

[tex]a_{n}[/tex] = a + (n - 1)d ← d is the common difference, a is the first term

d = 5 - 2 = 8 - 5 = 3, hence

2 + 3(n - 1) = 56

2 + 3n - 3 = 56

3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19

[tex]S_{19}[/tex] = [tex]\frac{19}{2}[/tex] ( 2 + 56 ) = 19 × 29 = 551

It is 1 with a remainder of 3

Answer:

the answer is 66

Step-by-step explanation:

Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Two tangents DB and BE are drawn to a circle from one point i.e.B

So, Using theorem

DB=BE =10 cm

So, Using theorem  

CF = CE = 15 cm

So, using theorem

AD =FA = 8 cm

Now AC = FA+CF = 8+15=23 cm

CB =BE+EC = 10+15=25 cm

AB = AD+DB=8+10=18 cm

Perimeter of triangle = Sum of all sides  

                                     =AB +CB+AC

                                     = 18 + 25 +23

                                     = 56 cm

Hence the perimeter of ΔACB is 56 cm

Answer:

y= 11x+28, with y being the amount of money Victor has in his savings account and x being the amount of weeks that have passed

Step-by-step explanation:

Victor already has 28 dollars at the beginning so that will be the y-intercept, he'll save $11 every week so that must be the x.

Answer: [tex]y=4x[/tex]

Step-by-step explanation:

A direct variation equation has the form:

[tex]y=kx[/tex]

Where k is a constant.

By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.

 Then, knowing that y is the dependent value and x the independent value and the constant k=4, you can write the following direct variation equation that represents the situation.

[tex]y=4x[/tex]

Final answer:

The direct variation equation that represents the perimeter (Y) of a square in relation to its side length (X) is Y = 4X, where the constant of variation is 4.

Explanation:

The question asks us to write a direct variation equation where perimeter of a square is the dependent variable (Y) and the side length is the independent variable (X). For a square, the perimeter (P) is equal to four times the side length (s), hence we can write the direct variation equation as Y = 4X. This equation indicates that the perimeter of a square directly varies with its side length, with the constant of variation being 4.

I believe that would be 0.4691g

Answer:

h = 21.6 m

Step-by-step explanation:

*I'm assuming that you need the height.  If not, let me know and I'll edit my answer...

The formula for volume of a pyramid is

V = (1/3)Bh    where B is the area of the base, and h is the height

We are given V = 8820, and the base is a square with area of 35² = 1225, plug  those in and find the height...

8820 = (1/3)(1225)h

    26460 = 1225h     (multiply both sides by 3 to get rid of the fraction)

        26460/1225 = h     (divide both sides by 1225 to isolate h)

              21.6 = h

Answer:

1946m ²

Step-by-step explanation:

Answer:

(1) Observe the attached image

(2) [tex]S = \$4,000[/tex]

(3) [tex]x = \$90,000[/tex]

(4) [tex]S = 2100[/tex]

Step-by-step explanation:

(1) Let's call S the salary for the month the seller wins.

Let's call x the amount of dollars reached by the sales of that month.

The seller earns a base salary of $ 2100 per month.

Then, if x> 42,000 he wins a commission of 5% on sales.

Then the equation modeling this situation is:

[tex]S =\left\{{{0.05(x-42,000)+2100\ if\ x>42,000} \atop{2,100\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ 0\leq x\leq42,000}}\right.[/tex]

The graph of the function is shown in the attached image.

(2) If x = 80,000, then your salary was:

[tex]S = 0.05(80000-42000) +2100\\\\S = \$4,000[/tex]

(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.

[tex]S = 4,500 = 0.05(x-42,000) + 2,100\\\\\frac{2,400}{0.05} = (x-42,000)\\\\x = \frac{2400}{0.05} +42,000\\\\x = \$90,000[/tex]

(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.

Then [tex]x <42000[/tex]

Therefore [tex]S = 2100[/tex].

sin(x) = 1/2 when x is 30°, 150°, 210°, or 330° (unit circle).

With those angles, the cos(x) is ±√3/2 and the tan(x) is ±√3/3.

Answer:

[tex]cos(x)=\pm \frac{\sqrt3}{2}[/tex]

[tex]\tan(x)= \pm \frac{1}{\sqrt3}[/tex]  

Step-by-step explanation:

We are given the following information in the question:

[tex]\sin(x) = \displaystyle\frac{1}{2}[/tex]

We use the trigonometry identity:

[tex]\sin^2(x) + cos^2(x) =1[/tex]

Putting the value, we get,

[tex]\bigg(\displaystyle\frac{1}{2}\bigg)^2 + \cos^2(x) = 1\\\\\cos^2(x) = \frac{3}{4}\\\\\cos(x)=\pm \frac{\sqrt3}{2}[/tex]

Formula:

[tex]\tan(x) = \displaystyle\frac{sin(x)}{cox(x)}\\\\tan(x) = \frac{\pm \frac{1}{2}}{\frac{\sqrt3}{2}} = \pm \frac{1}{\sqrt3}[/tex]

Step-by-step explanation:

y=5x-1

Because there is no exponent this is linear and not exponential

full question not given...please resend

Answer:

Please include the "recipe" so we can answer the question :/

➷ Go up from 2 on the x axis until you hit the line

Go across to see what value it hit the line at

This will give you the answer of $1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

D is the answer

Step-by-step explanati

Answer:

n! (n + 2).

Step-by-step explanation:

(n + 1)! =  (n + 1) * n * (n - 1) * (n - 2) .............. * 1.

      n! =   n * (n - 1) * (n - 2) .............. * 1

- so (n + 1)! = (n + 1) * n!

and  (n + 1)! + n!

= n!( n + 1 + 1)

= n! (n + 2).

Rolling a six on a die twice in a row is an example of independent events, as the outcome of one roll doesn't affect the outcome of the other, confirmed by applying the Multiplication Rule for independent events in probability theory.

The question is asking whether rolling a six on a die twice in a row is considered a dependent or independent event. In probability theory, two events are considered independent if the occurrence of one does not affect the outcome of the other. In this case, rolling a die twice, the outcome of the first roll does not affect the outcome of the second roll. This is because each roll is a separate event and the die does not have a 'memory' of the previous roll.

Using the Multiplication Rule for independent events, we can confirm this. The Multiplication Rule states that the probability of two independent events happening together (A and B) is the product of their individual probabilities (P(A AND B) = P(A) * P(B)).

Applying this rule to our situation, the probability of rolling a six (A) and then rolling another six (B) is the product of the probabilities of each of these events happening on their own. This is (1/6)*(1/6) = 1/36. The result confirms that the two rolls are, indeed, independent events.

https://brainly.com/question/30635387

#SPJ3