when johan lost his job, the balance in his checking account is 21 thousand. while he is unemployed, the balance declines by 3thousand per month. let b be the balance in thousands of dollars in the checking account after t months of unemployment.

Step-by-step explanation:

I pretty sure it’s c. I know it’s not just the letters alone. I also know that D is for line segments, that leaves B and C. I know that C has a symbol next to that that looks like an angle. So I think it’s C.

Answer:

irrational because root3/root64=root3/

Step-by-step explanation:

Irrational probally I’m guessing my brother!

Answer:

Exact Form: x= -5/2

Decimal Form: x= -2.5

Mixed Number Form: x= -2 1/2

Step-by-step explanation:

Hope this helps!

The answer is x = -5/2

Answer:

  B.  (3, 17)

Step-by-step explanation:

You want to solve this system of equations by substitution:

We are given an expression for y. Substituting that into the first equation gives ...

  x + (3x +8) = 20

  4x = 12 . . . . . subtract 8

  x = 3 . . . . . . divide by 4

  y = 3(3) +8 = 17

The solution is (x, y) = (3, 17).

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The function f(t) is given by (15t² + 40t) / (2t + 7) when k(t) is replaced by the derivative of the Dirac delta function, denoted as δ'(t).

the derivative of f(s) is taken by differentiating each term separately. The derivative of 5s³ is 15s², the derivative of 20s² is 40s, and the derivative of -49x is 0 since x is not involved.

The derivative of -108 is also 0.

Moving on to the denominator

the derivative of s² is 2s, the derivative of 7s is 7

and the derivative of 10 is 0. Therefore, the derivative of f(s) with respect to s is (15s² + 40s) / (2s + 7).

we substitute k(t) with δ'(t), which is the derivative of the Dirac delta function δ(t).

The Dirac delta function is defined as 0 for all values of t except at t = 0, where it is infinite.

Its derivative, δ'(t), is 0 for all values of t except at t = 0, where it is not defined.

Therefore, the resulting expression for f(t) is (15t² + 40t) / (2t + 7). This is the final answer for f(t) in terms of t, obtained by differentiating f(s) and substituting k(t) with δ'(t)

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Answer:

Around 3.3%

Step-by-step explanation:

The solution to the given equation is x = 10/3.The given equation is 3(x - 2) + 8 = 12.

To solve the above equation:

Step 1: Simplify the equation.3(x - 2) + 8 = 12 ⇒ 3x - 6 + 8 = 12 ⇒ 3x + 2 = 12

Step 2: Subtract 2 from both sides. 3x + 2 = 12 ⇒ 3x = 12 - 2 = 10

Step 3: Divide both sides by 3.3x = 10 ⇒ 3x/3 = 10/3 ⇒ x = 10/3.

Now, we identify the property of real numbers or equality that is used in each step.

Step 1: Distributive property of multiplication over addition is used in the given equation, 3(x - 2) + 8 = 12.

Step 2: Subtraction property of equality is used when we subtract 2 from both sides of the equation, 3x + 2 = 12.

Step 3: Division property of equality is used when we divide both sides of the equation by 3, 3x = 10.

Therefore, the solution to the given equation is x = 10/3.

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Answer:

does this have a picture following it...

The lower bound for the perimeter of the rectangle when the length is 87. 3cm and the width is 51. 8cm is 278.24 cm.

Lower bound is the minimum valued number that have been before it was rounded to the nearest. As per the query, we need to find the perimeter of the rectangle whose length is 87.3 cm while its width is 51.8cm. The perimeter of a rectangle is given by the formula:

=2 (l + b)

=2 (87.3 + 51.8)

=2 (139.1)

=278.2 cm

Therefore, the perimeter of the rectangle, when the length is 87. 3cm and the width is 51. 8cm is, 278.2 cm.

We need to assume the lower bound value for this value. We can assume that 278.2 may have been 278.24cm before it was rounded to the nearest value, i.e., 278.2cm. Thus, the lower bound for the perimeter of the rectangle when the length is 87. 3cm and the width is 51. 8cm is 278.24 cm.

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The Remainder is 3 and the Quotient is 2141.

Therefore,

The given Divisor = 4 and Dividend = 8567

4 ÷ 8567

= 2141.75

The Quotient is 2141 and the Remainder is 3

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Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

Answer:

c. 84 time pi m squared

Step-by-step explanation:

Formula for volume of a cone: pi times radius squared times height divided by 3

for this you don't need to multiply by pi so it's

12 and radius is 6

6 squared  times 7/3

36 times 7/3

83.99999

rounded to 84 time pi m squared

Answer:

c

Step-by-step explanation:

a p e x

Answer:

d

Step-by-step explanation:

\(1.2 \times 10^6 =1200000 \neq 12000000\)

Answer:

Step-by-step explanation:

Increase

Increase = \(\dfrac{4}{5}-\dfrac{2}{5}=\dfrac{2}{5}\)

Increase percentage = 2/5 out of 2/5 * 100

                                    \(=\dfrac{2}{5}*\dfrac{5}{2}*100\)

                                     = 100 %

Answer:

Step-by-step explanation:

Answer:

x+9x+x+100=1178

11x=1178-100

x=1078/11

x=98

Step-by-step explanation:

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

x = -6

y = -1

Step-by-step explanation:

Hope this helps! :)

so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)

\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)

Answer:

582 ft squared

Step-by-step explanation:

15*9*2 = 270

15*4*2 = 120

6*6*2 = 72

9*4*2 = 72

6*4*2 = 48

270 + 120 + 72 + 72 + 48 = 582

Answer:

y =9

Step-by-step explanation:

you know the distance is 10 and some of the x,y points. so start filling what you know into the distance formula

10= √((9-1)^2 + (y-3)^2 )

square both sides to get ride of the square root

100 = 64 + (y-3)^2

36 = (y-3)^2

6 = y-3

y = 9

double check by using 9 for Y and you'll see it works.

The equation representing the context is 9(x + 8) = 117 and normally each box contains 5 donuts.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, The number of donuts in each box be 'x'

And for the baker’s birthday, it is (x + 8).

Therefore, The equation can be formed as,

9(x + 8) = 117.

9x + 72 = 117.

9x = 45.

x = 5.

So, Normally each box contains 5 donuts.

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Answer:

Check all of them

Step-by-step explanation:

If you are on Edg, just check all of them.

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

your answer is correct, dw.

Answer:

you are correct :)

Step-by-step explanation:

-x^2 - 6x + 16 --> reverse the operations...

x^2 + 6x - 16 --> factor

(x + 8)(x - 2) --> hope this helps

:D

Answer:

the answer will be 140

Step-by-step explanation:

i am not sure

Answer:

B. 30

hope it helps.

and sorry, if it's wrong.

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here's the solution ~

The two triangles in the shown figure are similar, therefore conclusion can be made that :

Ratio of its it's corresponding sides is equal.

\(\qquad \sf  \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{2x + 2}{6} = 6\)

\(\qquad \sf  \dashrightarrow \: 2x + 2 = 6 \times 6\)

\(\qquad \sf  \dashrightarrow \: 2x + 2 = 36\)

\(\qquad \sf  \dashrightarrow \: 2x = 36 - 2\)

\(\qquad \sf  \dashrightarrow \: 2x = 34\)

\(\qquad \sf  \dashrightarrow \: x = 17\)

Therefore, The value of x is " 17 "

Now, the measure of side BC is :

\(\qquad \sf  \dashrightarrow \: 2x - 4\)

\(\qquad \sf  \dashrightarrow \:2 (17) - 4\)

\(\qquad \sf  \dashrightarrow \: 34 - 4\)

\(\qquad \sf  \dashrightarrow \: 30 \: \: units\)

So, its perimeter will be :

\(\qquad \sf  \dashrightarrow \: p = AB + AB + BC \)

\(\qquad \sf  \dashrightarrow \: p = 24 + 26 + 30\)

\(\qquad \sf  \dashrightarrow \: p = 80 \: \: units\)

Answer:

------------------------------------

According to Triangle Proportionality Theorem we have the following equal proportions:

The missing side is:

The perimeter is:

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