Help help ASAP please

Answer:

TU = 15

Step-by-step explanation:

The two rectangles are similar. That means that the lengths of  corresponding sides are in the same ratio.

Pairs of corresponding sides:

MN, ST

NO, TU

OP, UV

PM, VS

Equal ratios of lengths of corresponding sides:

MN/ST = NO/TU = OP/UV = PM/VS

Plug in the given information:

MN/ST = 10/x = 4/6 = PM/VS

10/x = 4/6

4x = 10 × 6

4x = 60

x = 15

TU = 15

Answer:

seven

Step-by-step explanation:

1+1=2 and 3+2=5 so 2+5=7

Answer:

2+5=the answer is 7 you welcome

Answer: 27 1/2 miles per gallon

Step-by-step explanation: trust me bro

Answer:

I'm pretty sure you would just add and subtract as needed.

Step-by-step explanation:

Sorry if i'm wrong.

Answer:

[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the precipitation each month x in Phoenix is given by:

[tex]y = -0.04088x^2 + 0.4485x + 1.862[/tex]

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

[tex]x_v = -\frac{0.4485}{2(-0.04088)} = 5.48[/tex]

Hence during the month of May.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

Answer:

6 pounds and 15 ounces

Step-by-step explanation

1 pound is equal to 16 ounces. Divide 111 by 16 to get 6 remainder 15

Answer:

2144 in^3

Step-by-step explanation:

[tex]\frac{4}{3}\pi r^3 > \frac{4}{3}\* *\pi * 8^3 > 2144.660[/tex]

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

Work Shown:

[tex]\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4[/tex]

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] to break up the roots.

Answer:

4

Step-by-step explanation:

We first simplify $\sqrt{72}$ and $\sqrt{8}$:\begin{align*}

\sqrt{72} &=\sqrt{36\cdot 2} = \sqrt{36}\cdot \sqrt{2} = 6\sqrt{2},\\

\sqrt{8} &= \sqrt{4\cdot 2} = \sqrt{4}\cdot \sqrt{2} = 2\sqrt{2}.

\end{align*}Then, we have

\[\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}} = \dfrac{2\left(6\sqrt{2}\right)}{2\sqrt{2} + \sqrt{2}}

= \dfrac{12\sqrt{2}}{3\sqrt{2}} = \dfrac{12}{3}\cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \boxed{4}.\]

Discounts are used to reduce the price of items

The percentage discount during the sale is 22.41%

The given parameters are:

Worth = Rs 58000

Selling price = Rs 45000

Start by calculating the discount amount

Discount = Worth - Selling Price

So, we have:

Discount = Rs 58000 - Rs 45000

Discount = Rs 13000

The percentage discount is then calculated as:

[tex]\% Discount = \frac{Discount}{Worth}[/tex]

This gives

[tex]\% Discount = \frac{13000}{58000}[/tex]

Simplify

[tex]\% Discount = 22.41\%[/tex]

Hence, the percentage discount during the sale is 22.41%

Read more about discounts at:

https://brainly.com/question/25567167

Step-by-step explanation:

Divide 12 by 3 to determine Catherine's age.

[tex]12 \div 3 = 4[/tex]

Catherine is 4 years old when Cisca is 12 years old.

Let's identify when Cisca will be twice as old as Catherine by representing the ages per future years.

Year 1: 13, 5

Year 2: 14, 6

Year 3: 15, 7

Year 4: 16, 8

Year 5: 17, 9

Year 6: 18, 10

In 4 years, Cisca will be twice as old as Catherine.

Her age is 16.

She would be 4 years

Age of Catherine = X

Age of Cisca = 12yrs = 3x

Therefore X = 12/3= 4 years.

Actual age of Catherine = 4 years.

Twice ( 2x) age of Catherine = 2×4= 8

Therefore, she will be 4 years to be twice as old as Catherine

Learn more about age here:

https://brainly.com/question/26423521

Answer:

295 cm[tex] {}^{2} [/tex]

Answer:

π/4, or 3π/4

Step-by-step explanation:

dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2

Tangent line is horizontal, so dy/dx = 0

1-2(sinx)^2 = 0

(sinx)^2 = 1/2

sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]

Between 0 and pi, sinx >0

so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]

x = π/4, or 3π/4

Answer:

297.60 & 1497.60

Step-by-step explanation:

I had the question before and got it right.

Answer:

the correct answers are (1) 1497.60 and (2) 2096.64

explanation:

these were the correct answers!!

100% honest!!

The number of years it would take the money to double is 86.6 years.

Number of years =  (In fv / pv) / r

Where:

IN 2 / 0.008 = 86.6 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Answer:

total = 75x + 112

Step-by-step explanation:

I did 75x because x would be how many weeks and added 112 because of the starting amount

The smoothed forecast for this year depends on last years forecast and

observation, as well as the value of alpha.

Response:

The given parameter are;

α = 0.2

From a similar question online, we have the following possible values;

Last year's smoothed forecast, F₄ = 15,000

Last years actual value, A₄ = 20,000

Required:

The forecast this year

Solution:

The exponential smoothing relationship is expressed as follows;

F₅ = F₄ + α·(A₄ - F₄)

Which gives;

F₅ = 15,000 + 0.2 × (20,000 - 15,000) = 16,000

Learn more about forecasting here:

https://brainly.com/question/4941976

Answer:

The missing numerator is 2

Step-by-step explanation:

Assign "x" to the numerator sought:

[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]

[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]

[tex]14x+91=98(\frac{17}{14} )[/tex]

[tex]14x=\frac{1666}{14} -91[/tex]

[tex]14x=119-91[/tex]

[tex]x=\frac{28}{14}[/tex]

[tex]x=2[/tex]

Hope this helps

Answer:

parallel: y = -8x+-27

perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Let x thousand births per day

Let y thousand deaths per day

Each day, the number of births in the world is 45 thousand less than three times the number of

deaths.

x=3y-45 (1)

Population increase= birth - death

=x-y(2)

substitute (1) into (2)

3y-45-y=241

2y-45=241

2y=196 (plus 45 from both side)

y=98 (divide 2 from both side)

x-y=241

x-98=241

x=339 ( pluse 98 from both side)

So, There are 339 thousand births per day

There are 98 thousand deaths per day

HOPE THIS HELP!!!

Answer:

She needs to dance about 154 hours.

Step-by-step explanation:

$1,000 minus $75 is $925.

$925 divided by $6 is about 154 hours.

Answer:

A(8,9,10,11,12)

Step-by-step explanation:

A(8,9,10,11,12)

Answer:

[tex]6.19=6\frac{19}{100}[/tex]

Step-by-step explanation:

[tex]6.19=6\frac{19}{100}[/tex]

Answer:

[tex]4fg^{2}[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex]fg^{2} *4[/tex]

2) Regroup terms.

[tex]4fg^{2}[/tex]

Answer:

The correct answer is...

Step-by-step explanation:

"F^4g^8" Hope this helps!

Step-by-step explanation:

This polynomial has like terms that can further be simplified

2 - 11x^2 + 6x^2- 8x

2 - 5x^2 - 8x

multiply by negative to take 2 to the right.

-(2 - 5x^2 - 8x)

= 5x^2 + 8x - 2

It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.

it has 3 terms : 5x^2 , 8x , 2

Answer:

x = 3, x = 1

The points at which the curve crosses the x-axis are (3, 0) and (1, 0)

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Quadratic equation: [tex]ax^2+bx+c[/tex]

Therefore, for   [tex]x^2-4x+3[/tex]:

a = 1   b = -4   c = 3

Inputting values into quadratic formula:

      [tex]x=\dfrac{4\pm\sqrt{(-4)^2-(4\times1\times3)} }{2\times1}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{16-12} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{4} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm2 }{2}[/tex]

[tex]\implies x=2\pm1[/tex]

[tex]\implies x=3, x=1[/tex]

Therefore, the points at which the curve crosses the x-axis are (3, 0) and (1, 0)

[tex]\\ \tt\hookrightarrow x^2-4x+3=0[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm \sqrt{16-12}}{2}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm 2}{2}[/tex]