HELPPP

Solve for x and graph the solution on the number line below.


-x - 8 ≤ -15 and -18 ≤ -x - 8

Answer:

y=2x+5

y=-1.5x+9

3y=-2x+10

Step-by-step explanation:

2x+y=5

y=2x+5

9-y=1.5x

-y=1.5-9

y=-1.5x-9

2x=-3y+10

3y=-2x+10

Answer:

LCM = 240

GCF = 8

Step-by-step explanation:

Least common multiple (LCM) is the smallest number that both 40 and 48 go into

Greatest common factor (GCF) is the largest number that can go into 40 and 48.

Answer:

-2

Step-by-step explanation:

g(x) = -x-4

g(-2) = -(-2)-4

           2 - 4

              -2

Answer:

g(-2) = -2

Step-by-step explanation:

Hello!

To evaluate for -2, we can substitute -2 for x in the equation.

g(-2) is -2.

The equation is  180x+ 100

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.

Given:

cost of tuition = $180

each student pay = $100

let the number times of credit be x hours.

Son the equation is 180x+ 100

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25r(cos^2Ф-sin^2Ф)-6cosФ=0

The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates

The rectangular coordinate system consists of two real number lines that intersect at a right angle

In cylindrical coordinate, x=rcosФ

y=rsinФ

z=z

25(rcosФ)^2=25(rsinФ)^2=6rcosФ

25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ

25r^2(cos^2Ф-sin^2Ф)=6rcosФ

25r(cos^2Ф-sin^2Ф)-6cosФ=0

25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.

Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation

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Given ~

[tex] \: [/tex]

[tex]\tt \: g(x) = - 5x - 5[/tex]

[tex] \: [/tex]

Now , put the value of x.

x = 1

[tex] \tt \: g(1) = - 5(1) - 5[/tex]

[tex] \: [/tex]

[tex]\tt \: g(1) = - 5-5[/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}[/tex]

[tex] \: [/tex]

hope helps ~

The value of g(1) in the function g(x) = - 5x - 5 is - 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function  g(x) = -5x - 5.

Now to obtain the value of g(1) we'll simply replace x with 1.

∴ g(1) = - 5(1) - 5.

g(1) = - 5 - 5.

g(1) = - 10.

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Answer:

0.2888888889

Step-by-step explanation:

d=m/v

v=15×5×3=225

d=65/225

d=0.2888888889g/cm³

Answer:

0.29 g/cm³

Explanation:

[tex]\sf density \ (g/cm^3) = \dfrac{mass \ (g)}{volume \ (cm^3)}[/tex]

Here given following:

Find density:

[tex]\sf \rightarrow density = \dfrac{65}{225}[/tex]

[tex]\sf \rightarrow density = 0.2888...[/tex]

[tex]\sf \rightarrow density = 0.29[/tex]

Answer:

50 + 20h

Step-by-step explanation:

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.

The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.

Given: Equations of the lines:

To find: description of the points (x, y, z) in the plane.

Finding:

According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.

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The length of the diagonal AB of the given square is 8.660

Given that a diagram of a cube having dimensions 5×5×5 and asked to find out the length of diagonal AB(which is a body diagonal of the cube).

To calculate the body diagonal 1st we need to calculate the face diagonal via the Pythagorean theorem

Let's assume the length of the face diagonal is x

By Pythagorean theorem

[tex]x^{2} =5^{2} + 5^{2}[/tex]

[tex]x^{2} =50[/tex]

[tex]x=5\sqrt{2}[/tex]

Therefore, the length of the face diagonal is [tex]5\sqrt{2}[/tex]

Let's assume the body diagonal is y

By Pythagorean theorem

[tex]y^{2} =5^{2} +(5\sqrt{2} )^{2}[/tex]

[tex]y=\sqrt{125}[/tex]

y=[tex]5\sqrt{3}[/tex]=8.660

Therefore, The length of the diagonal AB of the given square is 8.660

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Answer:

720

Step-by-step explanation:

4x180=720 u have to multiply because 4 miled in 180 days is the same as 4x180

Answer:

[tex]=\frac{9}{50}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}\div \frac{5}{1}[/tex]
[tex]\frac{9}{10}\times \frac{1}{5}[/tex]
[tex]\frac{9\times \:1}{10\times \:5}[/tex]
[tex]=\frac{9}{50}[/tex]

The function g(x) is given as:  g(x) = 3 ( x + 4 )^2 + 5

Given data

f(x)=x2

shifted 4 units left

stretched by a factor of 3

shifted 5 units up

The function g(x) is formed from the function f(x) by the following moves:

Shifting 4 units to left

To shift the graph 4 units to the left is given by

f(x) = x^2

f(x) = ( x + 4 )^2

Stretching by a factor of 3

to stretch by a factor of  3 means multiplying by 3

f(x) = 3 * ( x + 4 )^2

f(x) = 3 ( x + 4 )^2

Shifting 5 units up

This movement is shows in the y axis and is represented as follows

f(x) = 3 ( x + 4 )^2 + 5

At this stage the function rule for g(x) is completed hence

f(x) = 3 ( x + 4 )^2 + 5 = g(x)

and

g(x) = 3 ( x + 4 )^2 + 5

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Answer: y=[tex]\frac{5-9x}{2}[/tex]

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y=[tex]\frac{5-9x}{2}[/tex]

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15     ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

x = 11.74

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

Answer:

Either, it's 2,800 and that would be 2 zeroes or it is 400,000,000 and that would be 8 zeroes

Step-by-step explanation:

40 x 10 x 7 = 2,800

40 x 10^6 = 400,000,000

Total 8 zeroes are in the product of 40 × 10⁷.

Let's step-by-step dissect the calculation and the total amount of zeros.

We are given the phrase  40 × 10⁷, where 10⁷ is defined as 10 multiplied by 7.

Step 1: Calculate 10⁷

10^7 means 10 raised to the power of 7, which is equal to 10,000,000 (10 million). This is because 10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000.

Step 2: Calculate the product 40 × 10⁷

Now, we multiply 40 by 10,000,000:

40 × 10,000,000 = 400,000,000

The product 400,000,000 has a total of 9 digits.

Instead of just looking at the overall number of digits, we are more concerned with the amount of zeros in the product.

Counting the zeros:

In the number 400,000,000, there are 8 zeros. These zeros come from the seven factors of 10 in the product 10⁷.

So, the product of 40 × 10⁷ has 8 zeros.

In conclusion, the result of 40 times 10 raised to the power of 7 is 400,000,000, which has eight zeros. This is so because every factor of 10 adds a zero to the final total.

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Answer:

3.3.1

A cylinder has a circular base.

3.3.2

As cylinders have circular bases, the formula for the area of the base of a cylinder should be the same as the formula for the area of a circle:

[tex]\boxed{\mathrm{Area = \pi r^2}}[/tex].

3.3.3

To find the volume of a cylinder, we can imagine stacking multiple circles on top of each other so that the height of the structure increases, and the shape becomes a cylinder.

This means that the volume of a cylinder is simply the area of the base circle multiplied by the height (h) of the cylinder.

∴ [tex]\boxed{\mathrm{Volume = \pi r^2h}}[/tex].

3.3.4

We can use the above formula to calculate the volume of the given cylinder, where:

• r = [tex]\mathrm{\frac{diameter}{2}}[/tex] = [tex]\frac{8}{2}[/tex] = 4 m

• h = 3 m

∴ [tex]\mathrm{Volume = \pi \times (4 \: m)^2 \times 3 \: m}[/tex]

               [tex]= \mathrm{\pi \times 16 \:m^2 \times 3 \: m}[/tex]

               [tex]= \mathrm{48 \pi \: m^3 }[/tex]

               [tex]= \mathrm{\bf150.8 \space\ m^3}[/tex]

Answer:

1/5 c - 5

Step-by-step explanation:

1/5 c - 5 = (c - 25)/5

Answer: See explanation

Step-by-step explanation:

f=First car seat. s=Second car seat. t=Third car seat

f<=28

15<s<45     ==> Second car seat can hold between 15 and 45 pounds noninclusive.

28<=t<=90   ==> Third car seat can hold between 28 and 90 pounds inclusive.

The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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The lateral surface area of prism is 240cm2, total surface area is 250cm2 of prism , the volume of prism is 100cm2.

What is lateral surface of prism?

The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. Also, (a + b + c) is the perimeter of the base (triangle).

What is total surface area of prism?

The total surface area of a right prism is T. S. A. = PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism.

What is volume of prism?

The formula for the volume of a prism is given by the product of the base and height of the prism. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism.

Given that,

The sides of prism are a=3cm, b= 4cm, c= 5cm

Also given that the height of the prism is h=20cm.

The lateral surface area of prism (LSA) = ah + bh + ch

Lateral surface area of prism = (3)(20)+(4)(20) +(5)(20)

Lateral surface area of prism = 60 + 80 + 100

Lateral surface area of prism = 240 cm2

The Total surface area of prism (TSA) = ph+2a

Total surface area = (LSA) + area of 2 bases

Total surface area = 240 + 2(5)

Total surface area = 250cm2

The volume of prism = base x height

Volume of prism = 5 x 20

Volume of prism = 100cm2.

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The expression will be 0.01

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do

Rewrite the expression using the negative exponent rule b

b₋ⁿ= 1/b-ⁿ

⁺1/10²

Raise

10

to the power of

2

The result can be shown in multiple forms.

Exact Form:

−

1/100

Decimal Form:

−

0.01

So therefore the expression will be 0.01.

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The solution to the system of equations is (2.5, -2)

The system of equations is given as:

2x + y = 3

2x - 5y = 15

Subtract the equations to eliminate the variable x

This is represented as

2x - 2x + y - -5y = 3 - 15

Evaluate the like terms in the above equation

So, we have

y + 5y = 3 - 15

Evaluate the like terms in the above equation

So, we have

6y = -12

Divide both sides of the above equation by 6

So, we have

y = -2

Substitute y = -2 in 2x + y = 3

2x - 2 = 3

This gives

2x = 5

Divide by 2

x = 2.5

Hence, the solution to the system of equations is (2.5, -2)

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Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Here is your Answer

step by step explanation

Hit thanks, if it's help full

Answer:

41

Step-by-step explanation:

(3*5*7)((1)/(3) +( 1)/(5) -(1)/(7))
When you simplify this, the answer is 41.

Answer: 41

Step-by-step explanation: