Jerry hiked along a path. From his starting position, he hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley.
The following equation describes this situation.
-25 + 40 = 15
CHOOSE 1 ANSWER
1. Jerry hiked a total of 15 meters
2. the hill was 15 meters higher than the elevation of his starting point
3. None of the above

Answer:

given :-

for rectangular part: length=12in, breadth=8in

for triangular part:base=8in, height=3in

area of the given fig:

area of the given fig:area of 2 triangles +area of rectangle

[tex]→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2} [/tex]

The table of attendees in the family reunion is a linear regression

To do this, we represent the years on the x-axis and the attendees on the y-axis

See attachment for the scatter plot

The scatter plot passes through the points

(0, 112) and (5, 136.5)

Start by calculating the slope, m using:

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

This gives

m = (136.5 - 112)/(5 - 0)

m = 4.9

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 4.9 * (x - 0) + 112

y = 4.9x + 112

Hence, the equation of the line of best fit is y = 4.9x + 112

This means that x = 15.

So, we have:

y = 4.9 * 15 + 112

Evaluate

y = 186

Hence, 186 attendees are expected in the 15th year

Read more about regression at:

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Answer:

Step-by-step explanation:

(1 , -2)   x₁ =1 & y₁ = -2

(-3,10)  x₂= -3 & y₂ = 10

First we need to find the slope.

[tex]\boxed{Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}[/tex][tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3[/tex]

m = -3

Equation of the line: y = mx + b

y = -3x + b

To find the value of b, take one of the point and substitue in the above equaiton.

(1 , -2)

-2 = -3*1 + b

-2 = -3 + b

-2 + 3 = b

b = 1

Equation of the line:

y = -3x + 1

Answer:

The answer is 73 billion bars of gold

I believe it would be a car

Answer:

2/15

Step-by-step explanation:

3/9*2/5=

1/3*2/5=

2/15

Answer:

B) 70 °

Step-by-step explanation:

Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:

m ∠ AOB = 2 · x (1)

Where x is the measure of angle BOC, in degrees.

And the measure of the angle AOC is: ( x= 70°)

∠ AOC = 70°

Answer:

answer is 4

have a nice day

135in.^2

Step-by-step explanation:

split into 2 shapes :

Triangle

A=bxh/2

= 5 x 6/2

= 15

Rectangle

A=bxh

= 20x6

= 120

120+15=135in.^2

Hope this helps!

Answer:

1000/320=100/32=25/8 pounds of flour per piece of bread

Step-by-step explanation:

[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]

therefore each loaf contains 3.125 pounds

The infusion time for the IV solution that was prescribed = 128 mins.

To calculate the infusion time the formula for IV drip rate is used which is;

Drip rate = volume/time × Drop factor

Drip rate = 25gtt/min

Volume = 320mL

Drop factor= 10 gtt/mL

Time = ?

From the formula above, make time the subject of formula. That is,

Time = vol × drop factor/drip rate

= 320 × 10/25

= 3200/25

= 128 mins

Therefore, the infusion time for the IV solution that was prescribed = 128 mins

Learn more about drip rates here:

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Step-by-step explanation:

REFER TO THE ATTACHMENT!!

HOPE IT WILL HELP YOU

Answer:

my answer is 11.4

Step-by-step explanation:

solve for the first triangle which has both sides then solve the other

Let's first write out 10 ÷ 2/3:

  [tex]\frac{10}{\frac{2}{3} }[/tex]

When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:

      [tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]

Thus the answer is 15

Hope that helps!

Distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}[/tex]

Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).

[tex]d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5[/tex]

Thus, the distance between the two points is 8.5

[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]

Using properties of a logarithm, we get

[tex]\rm log x + log y=logxy[/tex]

[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.

Learn more about logarithm;

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Answer:

C

Step-by-step explanation:

C) 5/4

180°-32°=2x (angles in a triangle always sum up to 180)

2x= 148°

x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)

Answer:

base= 9 ft

height= 36 ft

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base and the height of the triangle be b and h ft respectively.

162= ½ ×b ×h

Given that h= 4b,

162= ½ ×b ×4b

162= ½(4b²)

162= 2b²

Divide both sides by 2:

b²= 81

Square root both sides:

b= 9

h= 4b

h= 4(9)

h= 36

Thus, the lengths of the base and height are 9 and 36 ft respectively.

Answer:

option c 16x²+24x+9

please mark me as brainlist

Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.

The z-score is given as

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be

For x = 0.37, then we have

[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]

For x = 0.39, then we have

[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]

Then the probability will be

[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

B. 17%

Step-by-step explanation:

Got it from a quizlet with very many five star reviews

Answer:

B

Step-by-step explanation:

the opposite angles of the quadrilateral ABDC are supplementary , that is

∠ BDC + 40° = 180° ( subtract 40° from both sides )

∠ BDC = 140°

Answer: 864

Step-by-step explanation:

The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.

Answer:

y = 2

Step-by-step explanation:

   5y - 3y + 1 = -4y + 13

We only have addition and subtraction so move the terms on the other side of the equal sign with changed sign. +1 will be -1 and -4y will be +4y

terms with y = terms without y

    5y -3y +4y = 13 -1

                 6y = 12

                   y = 12/6

                  y = 2

This should be the correct answer,
4.5×10^9x + 0.00045x

Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .

Answer:

C.

Step-by-step explanation:

Answer:

v > - 78

Step-by-step explanation:

Version 1.

   v

-----------  < 92

-6 + 79

    v

------------  <  92

    73

    v

------------  <  92(73)

    73(73)

v < 6716

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

Version 2

    v

------------ + 79 <  92

    -6       -79      -79

        v

(-) ------------  <  13(6)

        6(6)

-v < 78

÷-1   ÷-1

v > -78

I hope this helps!

Answer:

y = 2x - 4

Step-by-step explanation:

y = ax + b

a = slope

b = y-int

so, in y = 2x - 4

a = slope = 2

b = y-int = -4

Answer:

Below in bold.

Step-by-step explanation:

Radius of the pizza = 1/2 * 8 = 4 in.

Area of the whole pizza = π r^2

=  π * 4^2

= 8 π

So if you take 1/8 away

the area left = 7/8 * 8 * π

= 7π

Taking π to be 22/7:

= 7 * 22/7

= approximately 22 in^2.

Answer:

total 1 hour 15 mins

Step-by-step explanation:

3:45 - 5:00

lets count one by one

3:45 - 4:00 = 15 mins

4:00 - 5:00 = 1 hour

total 1 hour 15 mins

Answer:

d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more

Answer: 3/6

Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.