I am very confused on what to do.Can someone help me?

Answer:

Step-by-step explanation:

To estimate the distance across the gorge, Jamal can use the following steps:

First, he can draw a diagram to represent the situation. He can label points Y, X, A, and B on the diagram and draw the lines YX and AB to represent the locations of the tree and the points he marked.

Next, he can use the Pythagorean Theorem to find the distance AC. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the side AC is the hypotenuse, and the sides YA and YC are the other two sides. Therefore, he can use the theorem to find AC as follows:

AC^2 = YA^2 + YC^2

He knows the values of YA (500ft) and YC (327ft), so he can substitute these values into the equation and solve for AC:

AC^2 = 500^2 + 327^2

AC^2 = 250000 + 107649

AC^2 = 357659

AC = √357659

AC ≈ 597.56 ft

Finally, he can use the distance AC to estimate the distance across the gorge. The distance across the gorge is equal to the distance from X to Y, which is equal to the sum of the distances from X to A and A to Y. Therefore, he can estimate the distance across the gorge as follows:

distance across gorge = XA + AY

distance across gorge = AC + YA + YC

distance across gorge = 597.56 ft + 500 ft + 327 ft

distance across gorge ≈ 1424.56 ft

This is Jamal's estimate of the distance across the gorge.

Answer: -3.5

Step-by-step explanation:

The required length of the right rectangular prism is 18 in whose volume is 540 cu. in

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in form. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its form. A rectangular prism may be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

Rectangular prism characteristics

There are two categories into which rectangular prisms can be divided. These are:

A rectangular prism is a prism with rectangular bases. A right rectangular prism is a prism with six rectangle-shaped faces with angles that are all right angles.

Vertices of a rectangular prism = 8

Edges of a rectangular prism = 12

Faces of a rectangular prism= 6 (including bases)

total volume of the prism = 540 cubic inches.

Width = 6 in

Height = 5 in

We know volume is length * breadth* height

⇒ 540 = 5*6* length

⇒length = 18 in

The required length of the right rectangular prism is 18 in.

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The coordinates of points C are (4,1).

The coordinates of the points D are (3, 2) respectively.

y = mx + c. Conversely,is the formula of coordinate that help to find  satisfy to the equation y = mx + c is always lie on the line with the gradient m and y-intercept of c.

If the point C is divides AB in the ratio 2:3, then the coordinates of C are;

Xc=2(1)+3(6)/2+3

Xc=2+18/5

Xc=20/5 = 4

Yc=2(4)+3(-1)/2+3

Yc=8-3/5

Yc=5/5 = 1

The coordinates of points C are (4,1).

If the point D divides the  AC in the ratio 3:2, then the coordinates of D are-

Xc= 3(1)+2(6)/3+2

Xc=3+12/5

Xc=15/5 = 3

Yc=3(4)+2(-1)/3+2

Yc=12-2/5

Yc=10/5=2

The coordinates of the point D are (3, 2).

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Answer:

La notación científica es una forma de escribir números muy grandes o muy pequeños de manera más compacta y legible. En la notación científica, se mueve el punto decimal de un número hasta que tenga una sola cifra a la izquierda del punto y luego se multiplica el número resultante por 10 elevado a una potencia de 10.

Por ejemplo, para escribir 621,000 en notación científica, podemos mover el punto decimal tres lugares a la derecha para obtener el número 6.21. Luego, podemos multiplicar este número por 10 elevado a la potencia de 3 (10^3), lo que da 6.21 x 10^3 = 6.21 x 1000 = 621,000.

Entonces, en notación científica, 621,000 se escribe como 6.21 x 10^3.

Options B, C and D are the situations it is appropriate to use a sample.

Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method.  The sample is chosen by a random method as every subject in the sample is assigned a number.

Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searching people and collecting data from them.

Therefore, options B, C and D are the situations it is appropriate to use a sample.

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Answer:

B,C,D

Step-by-step explanation:

Answer:

1/ y= -3x + 12.96

2/ $9.99 for an entire album & $0.99 for a song

Step-by-step explanation:

We know that the

The amount charged for downloading individual songs = x dollars

And the amount charged for downloading an entire album = y dollars

Let's write a function for person A first

6x + 2y = 25.92

Solve, and we will get

y = -3x + 12.96

Now to person B

4x + 3y = 33.93

Putting the value of y from the first equation in the second

4x + 3(12.96 - 3x) = 33.93

- 5x = - 4.95

x = $0.99

Then we take

y = 12.96 - 3x

= 12.96 - 2.97

= $9.99

The number of oil changes that Will and Owen would each have done is 6 oil changes respectively.

The number of hours it would take both Will and Owen is equal to 4 hours.

In order to write a system of equations to describe this situation, we would assign variables to the number of hours per oil change and number of oil changes respectively, and then translate the word problem into algebraic equation as follows:

Since Will has already finished 4 oil changes today, and can complete more at a rate of 2 oil changes per hour, we have;

y = 2x + 4     .....equation 1.

Since Owen just came on shift, and can finish 3 oil changes every hour, we have;

y = 3x     .....equation 2.

Next, we would determine the number of hours per oil changes they both would have each completed by equating equation 1 and equation 2 as follows;

3x = 2x + 4

3x - 2x = 4

x = 4 hours.

For the number of oil changes for Will, we have;

y = 2(4) + 4

y = 12 oil changes.

For the number of oil changes for Owen, we have;

y = 3(4)

y = 12 oil changes.

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The required, bike is the fastest among all the vehicles.

Unit conversion is defined as the conversion of units of the same identity through various methods such as, meters in kilometers and centimeters in kilometers.

1.
In 5 seconds skateboard traveled 90 feet.

SInce 1 feet = 30.48 centimeter
90 feet = 2743.2 centimeter

2.
In 5 seconds scooter traveled 1,020 inches
Since 1 inch = 2.54 centimeter,
1020 inches = 2590.8 centimeter

3.
In 5 seconds  bike traveled 4800 centimeters

4.
In 5 seconds go-kart traveled 0.03 kilometers

Since, 1  kilometers = 100000 centimeter

0.03  kilometers = 3000 centimeter

Now compare all the distances which one has the higher distance will be the fastest,
Bike > go-kart > skateboard > scooter.

Thus, Bike is the fastest vehicle.

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Answer:

N=3. you get this by using the proportion 6/N=1/1/2.

Las soluciones de las ecuaciones lineales por propiedades algebraicas se listan a continuación:

7) x = 7

8) x = 16 / 7

9) x = - 1 / 4

10) x = 1 / 5

En este caso tenemos cuatro casos de ecuaciones lineales, cuya variable x debe ser despejada mediante propiedades algebraicas. A continuación, se procede a determinar las soluciones correspondientes a cada expresión:

Caso 7:

2 · (x - 1) - 5 = 14 - x

2 · x - 2 - 5 = 14 - x

2 · x - 7 = 14 - x

3 · x = 21

x = 7

Caso 8:

15 · x + 10 = 6 · x - 2 · (x - 7) + 3 · (1 - x)

15 · x + 10 = 6 · x - 2 · x + 14 + 3 - 3 · x

15 · x + 10 = x + 17

14 · x = 32

x = 32 / 14

x = 16 / 7

Caso 9:

x + 3 · (x - 1) = 6 - 4 · (2 · x + 3)

x + 3 · x - 3 = 6 - 8 · x - 12

4 · x - 3 = - 6 - 8 · x

12 · x = - 3

x = - 1 / 4

Caso 10:

6 - 3 · (x + 1) = 4 · x + 2 · (1 - x)

6 - 3 · x - 3 = 4 · x + 2 - 2 · x

3 - 3 · x = 2 · x + 2

- 5 · x = - 1

x = 1 / 5

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The percentage of the 30 minute television show's air time that is spent on commercials.

Given that  12 minutes  out of 30 minutes are commercials. This indicates that the fraction would be

[tex]\frac{12}{30}[/tex]

This fraction can be converted into percentage as follows:

Use division to convert the fraction to a decimal:

[tex]\frac{12}{30} = 12 \div 30 = 0.4\\[/tex]

Multiply by 100 to get percent value:

[tex]0.4 \times 100 = 40\%[/tex]

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. So, a part per hundred is what the percentage refers to. Per 100 is what the word percent means. The sign "%" is used to indicate .

Finding the fraction of a whole in terms of 100 in refers to calculating percentage. A percentage can be found in one of two ways:

a) use the unitary approach.

b) by changing the fraction's denominator to 100.

It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary approach.

The percentage of the 30 minute television show's air time that is spent on commercials.

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24 fluid ounces of juice in number cups is 3 cups.

Given that, Shen drank 24 fluid ounces of juice.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

From table, 1 cup = 8 fluid ounce

So, 24/8

= 3 cups

Therefore, 24 fluid ounces of juice in number cups is 3 cups.

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The required solution of the nonlinear equation is (4, 13) and (2, 1).

Given that,
To solve the nonlinear system of equations for real solutions. y =x²-3, 6x-y=11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
y =x²-3  - - - - - [1]

6x-y=11
From equation 1,
6x -x² + 3 = 11
x² - 6x + 8 = 0
x = 4, and 2

Substitute this x's in equation 1
That gives for the above x's,
y = 13 and 1

Thus, The required solution of the nonlinear equation is (4, 13) and (2, 1).

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Answer: Its 130 degrees

The distance that Peter rode more than Lauren is 398 m  .

In the question ,

it is given that ,

before stopping the distance that Peter rode is = 1km = 1000 m .

the distance that Lauren rode is = 602 m .

the difference in the distance can be calculated using the formula ,

So , the difference in the distance is = (distance rode by Peter) - (distance rode by Lauren) .

Substituting the values from above ,

we get ,

= 1000 - 602

on further simplification,

we get ,

= 398 m

Therefore , Peter rode 398m farther than Lauren .

The given question is incomplete , the complete question is

Peter rode her bike 1 km before stopping. Lauren rode 602 m before stopping. How many meter farther did Peter ride than Lauren ?

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The value of the x for the given condition will be 4.14.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that, ∠1 =10x-22, ∠2=3x+7

Since they are vertically opposite angles they are equal.

∠1 = ∠2

10x-22 = 3x+7

10x-3x=7+22

7x=29

x=29/7

x=4.14°

Thus, the value of the x for the given condition will be 4.14.

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The value of x is 15, for the given pair of parallel lines.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Lines y and z are parallel,

And angles are (10x-22)° and 3x+7)°

The supplementary angle of (10x-22)° is 180° - (10x-22)°.

Since, lines y and z are parallel, therefore,

angle 180° - (10x-22)° and (3x+7)° will be equal.

180° - (10x-22)°  = (3x+7)°

180° = 3x+7 + 10x - 22

180 = 13x - 15

195 = 13x

x = 15

The required value of x is 15.

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Answer:

Step-by-step explanation:

1/5 (1/3) + 1/15 = 1/15 + 1/15

                      = 2/15

Answer:

Step-by-step explanation:

-x+6y= 5  ----1

2x - 12y = -10 ----2

6y = x + 5

y = (x + 5)/6

2x -12(x + 5)/6 = -10

2x - 2x + 5 = -10

0 = -15

so, x and y have no value

Answer:

A

Step-by-step explanation:

A stem and leaf plot is a way of representing data (it might be helpful to look up a video—the organic chemistry tutor has a good one).

The column on the left shows the first digit of each number, and the column on the right is the different ones place digits.

Take the number 31. It would go at the bottom, where the 3 (from the tens place) is in the left column and the 1 (from the ones place) is in the right column.

3 would be in the first row as 03.

You have three nines in your list of data, and only A has three nines.

I hope this helps!

The function has been shifted down by 8 units.

Here given the function,

y = x

Required that,

Find the transformation that results in: y = x - 8

When a function f(x) is shifted by b units, the new function g(x) is defined as g(x) = f(x) - b.

In this instance:

y = x

b = 8

As a result, the new function is:

y = x - b

8 should be substituted for b.

y = x - 8

Hence, the function is shifted 8 units downward,

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Algebraic expressions -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent as they give same expression of simplifying.

What are equivalent algebraic expressions?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

According the given question:

The given algebraic expressions in variable m are -1/3(-3m + 6- 12 + 15m) and 2(1 - 2m)

Simplifying 1st expression

-1/3(-3m + 6- 12 + 15m)

-1/3(-3m) -1/3(6) -1/3(-12) -1/3(15m)

m - 2 + 4 - 5m

-4m + 2 is the simplified form

Similarly simplifying 2nd expression

2(1 - 2m)

2 - 4m

Clearly both the algebraic expressions are same when simplified.

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Answer:

Step-by-step explanation:

Rounding to 1 sig fig:

12 becomes 10

478 becomes 500 (that hurts)

Multiply

10 x 500 = 5000

[Actual value of 12 x 478 is 5736. The reason the estimated value is lower is due to the fact that going from 12 to 10 was a reduction of 17%, while going from 478 to 500 was an increase of only 5%]

To correct Sarah's answer, the standard form of the given value would be = 4.01 × 10^⁹ km.

Standard form is defined as the simplified method of representation of large numericals using decimal number, between 1.0 and 10.0, which is then multiplied by a power of 10.

The distance between the earth and Mars = 4.01 x 100,000,000 kilometers.

There are 9 digits in 100,000,000,

Therefore to write the standard form of the given distance of 4.01 x 100,000,000 kilometers would be;

4.01 × 10^⁹ km.

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The speed of the cyclist in miles per hour is 16 miles per hour

The speed of an object is the rate of change of the object's distance over time

From the question, we have the following parameters that can be used in our computation:

A cyclist rides 8 miles in 30 minutes.

The parameters in the above statement can be further expressed as

Distance = 8 miles

Time = 30 minutes

This means that the distance is 8 miles and the time taken to cover the distance is 30 minutes

Convert the minutes to hour

So, we have

Time = 0.5 hour

The speed of the cyclist in miles per hour is then calculated as

speed = 8 miles/0.5 hour

Evaluate the quotient

speed = 16 miles/hour

Hence, the cyclist' speed is 16 miles/hour

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Answer:

Step-by-step explanation:

so first 48+9e

then add 34

take away

The expression that represents the perimeter of the frame is (8x+24) inches. Option C

From the question, we are given that dimensions of the photograph is 5 inch × 7 inchIt is given that the dimensions of the frame are 2x inches larger than the dimensions of the photograph. Thus, the dimensions of the frame is (2x+5) inches × (2x+7) inches.

Since, the frame is in rectangular shape. Perimeter of a rectangle = 2(Length + Width)

= 2(2x+5+2x+7)

= 2(4x+12)

= 8x+24 inches.

Thus, the perimeter of the frame is represented by the expression (8x+24) inches.

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