BLUE anywhere you see growth.
Situation:
is going to join the big race.
and rides his scooter at
Equation (y = mx +b)
He gets a head start of
rate of
every
Linear
Function
Table
Graph
.
.
Option 2
Me Shrock's
c)
10
20

Answer: y=3

Step-by-step explanation: 2y=6   y=3

Answer:

Step-by-step explanation:

y = mx + b

0x + 2y - 6 = 0 ⇒ y = 0x + 3 ⇒ y = 3

Answer:

30 cm³

Step-by-step explanation:

volume of a rectangle prism: width × length × height

=> 2 × 3 × 5 = 30

Answer:

5, 2, 1, 2, 5

Step-by-step explanation:

Answer:

(-2)² +1 =5

(-1)²+1=2

(0)²+1=1

(1)²+1=2

(2)²+1=5

Just substitute the given value in the given equation

Answer:

number 5 is 15x

Step-by-step explanation:

what you have to do is just add basically. The ones with exponents you do the usual with those as well. Ignore the X's and when you solve the problem add the x beside the number.

The base, lateral area and surface area is B = 96 cm², L = 499.2 cm²,S = 691.2 cm²

The lateral area for the triangular prism is the sum of all three areas. Thus, the formula for lateral area of triangular prism, Lateral surface area of triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h.

To find the lateral area (L) of this solid, we need to calculate the area of the four rectangles that make up the sides of the solid. Since each rectangle has a height of 10.4 cm and a width of 12 cm, the area of one rectangle is:

A = 10.4 cm * 12 cm = 124.8 cm²

Since there are four rectangles, the total lateral area is:

L = 4 * A = 4 * 124.8 cm² = 499.2 cm²

To find the surface area (S) of the solid, we need to add the lateral area to the area of the two circular bases. The base area is given as 96 cm², so the area of both bases is:

A = 2 * 96 cm² = 192 cm²

Therefore, the total surface area is:

S = L + A = 499.2 cm² + 192 cm² = 691.2 cm²

Rounding to the nearest tenth, we have:

B = 96 cm²

L = 499.2 cm²

S = 691.2 cm²

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A "threaded screw" or a "helical screw" is an inclined plane wrapped around a cylinder.  

This unique configuration allows screws to convert rotational motion into linear motion, making them essential components in various applications such as fastening objects, lifting loads, adjusting mechanisms, and transmitting power.

An inclined plane is a flat surface that is angled or tilted. It allows for easier movement of objects by reducing the force required to overcome vertical displacement. When this inclined plane is wrapped around a cylinder in a spiral or helical shape, it forms a threaded screw.

The calculation is not applicable in this case as it involves understanding the concept and structure of a threaded screw rather than performing numerical calculations.

An inclined plane wrapped around a cylinder is known as a threaded screw or helical screw. This unique configuration allows screws to convert rotational motion into linear motion, making them essential components in various applications such as fastening objects, lifting loads, adjusting mechanisms, and transmitting power. The helical shape of the inclined plane provides mechanical advantage, enabling screws to exert greater force with less effort.

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Given

To find:

The average speed of Julian.

Explanation:

It is given that,

That implies,

Therefore,

Hence, the average speed of Jean is 11 km/h.

The expression of the additional tiles added to Design 2 square floor design is (8x + 15).

Let 'x' be the length of a side of the square floor design. Then, the total number of tiles required for the square floor design is given by \(x^2\)

Now, if Howard must add 5 tiles to two of the sides and 3 tiles to the other two sides, then the dimensions of the new square will be (x + 5) and (x + 3). Thus, the total number of tiles required for the new square will be: (x + 5) × (x + 3).

In order to determine the expression for the number of additional tiles added to Design 2 square floor design, we will subtract the number of tiles required for the original square floor design from the number of tiles required for the new square.

Thus, the expression for the number of additional tiles added to Design 2 square floor design is given by: \((x + 5) \times (x + 3) - x^2\)

Now, we will simplify the above expression: \(x^2 + 3x + 5x + 15 - x^2\)

So, additional tiles added to Design 2 square floor design = 8x + 15

Therefore, the expression for the number of additional tiles added to Design 2 square floor design is: (8x + 15).

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It would take the two painters together eight hours to paint the house

Step-by-step explanation: Given that, One painter can paint the entire house in twelve hours. The second painter takes eight hours to paint a similarly-sized house. To find, How long would it take the two painters together to paint the house? Suppose one painter takes x hours to paint the house.

Therefore, the other painter will take x-4 hours to paint the same house. According to the question, \(1/x+1/(x-4)=1/12+1/8\) Multiply by LCM, \(8(x-4)=12x+12(x-4)8x-32=6x+484x=80x=20\)Therefore, the first painter will take 20 hours to paint the house. The second painter will take 16 hours (20-4). Together they will take, \(1/20+1/16=0.1+0.0625=0.1625\) Thus, they will take 6.1538 hours which can be rounded to 4.8 hours.

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Answer: cool

Step-by-step explanation:

Answer: ok

Step-by-step explanation: ok

Answer:

X=7

take the -21 to the other side of the equation, when you do this it goes from a negative to a positive so we now have 63+21=12x

if we add 63 and 12 we get 84 decide by 12 because we have 12x and we get 7

Answer:

15

Step-by-step explanation:

10+5 is 15

15-5=10

Answer:

It's B.

Step-by-step explanation:

The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.

In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).

(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.

Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.

Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.

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The given statement , police departments continue to control the sole statistical data available to measure homicide rates in the united states is false.

Domestic disagreements, interpersonal violence, violent fights over land resources, intergang violence over turf or control, and predatory violence and murders by armed organizations are all examples of intentional homicides.

Intentional homicide does not cover all intentional killing; the distinction is usually in the manner in which the killing is carried out.

Homicide is typically committed by individuals or small groups, but killing in armed conflict is typically performed by highly cohesive organisations of up to several hundred members and is thus typically omitted.

The 2020 murder/homicide rate in the United States was 6.52,

a 28.64% rise over 2019.

The murder/homicide rate in the United States in 2019 was 5.07,

up 1.19% from 2018.

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Answer I think the first one

Step-by-step explanation:Hope this helps

Answer:

w = -19

Step-by-step explanation:

10 + w = -9

-10         -10

w = -9 - 10

w = -19

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Given data:

The given figure is shown.

The expression for sin(θ) is,

Thus, the line of sight distance from the television to the base of a stadium​ is 1,653.426 m.

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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The total area if each garden bed has a length of 4 feet is given as follows:

A = 48ft².

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The area for a bed of side length s is given as follows:

A = 3s².

Hence the total area if each garden bed has a length of 4 feet is given as follows:

A = 3 x 4² = 48 ft².

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

The series f(x), f′(x), f′(x), and ∫f(x) dx all converge for the entire real number line, -∞ < x < ∞, including the endpoints.

The intervals of convergence are as follows: (a) f(x) converges for -∞ < x < ∞.

(b) f′(x) converges for -∞ < x < ∞.

(c) f′(x) converges for -∞ < x < ∞.

(d) ∫f(x) dx converges for -∞ < x < ∞.

The given series f(x) can be written as the sum of the terms (-x^3)^n. We need to find the intervals of x for which this series converges.

For any value of x, when (-x^3)^n is raised to a positive power n, it becomes positive. Therefore, the series will converge for any x value.

Hence, the intervals of convergence for f(x), f′(x), f′(x), and ∫f(x) dx are -∞ < x < ∞. To check for convergence at the endpoints of the interval, we need to evaluate the series for x = ±∞.

For both cases, the terms (-x^3)^n will approach zero as n approaches infinity. Therefore, the series will converge at the endpoints as well.

In summary, the series f(x), f′(x), f′(x), and ∫f(x) dx all converge for the entire real number line, -∞ < x < ∞, including the endpoints.

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Answer:

9 ounces

Step-by-step explanation:

Let x = number of ounces of 12% solution.

0.12x + 0.2 × 9 = 0.16(x + 9)

0.12x + 1.8 = 0.16x + 1.44

-0.04x = -0.36

x = 9

Answer: 9 ounces

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

(6.25\(\pi\) + 25)cm is the exact answer

44.625 cm is an approximation

Step-by-step explanation:

c = circumference (perimeter)

d = diameter

C = \(\frac{\pi d}{4}\)

C = \(\frac{25\pi }{4}\) = 6.25\(\pi\) This is the exact answer

That would be the curved part of the pi.  Then we need to add the 2 sides which would be \(\frac{25}{2}\) + \(\frac{25}{2}\) = \(\frac{50}{2}\) = 25  The sides are the length of the radius which is half of the diameter.

(6.25\(\pi\) + 25)cm is the exact answer

If we use 3.14 for \(\pi\) The approximate answer would be:

6.25(3.14) + 25

19.625 + 25

44.625 cm is an approximation

b) the current number of shares is 1440, and the market value of your investment is $17,280.

To calculate the current number of shares and the market value of your investment, we need to take into account the stock splits and stock dividends.

Given:

Initial investment: $1,000

Initial number of shares: 200

Current price per share: $12

a. Calculate the current number of shares:

First, let's consider the stock splits and stock dividends:

1. 2-for-1 stock split:

This means that for each existing share, you now have two shares. So the number of shares is doubled.

New number of shares = Initial number of shares * 2 = 200 * 2 = 400 shares.

2. 20% stock dividend:

A 20% stock dividend means you receive an additional 20% of your current number of shares. To calculate the number of shares received:

Shares received = Current number of shares * (20% / 100%)

Shares received = 400 * (20 / 100) = 80 shares.

Total number of shares after the dividend = Current number of shares + Shares received = 400 + 80 = 480 shares.

3. 3-for-1 stock split:

This means that for each existing share, you now have three shares. So the number of shares is tripled.

New number of shares = Total number of shares after the dividend * 3 = 480 * 3 = 1440 shares.

The current number of shares you have is 1440.

b. Calculate the market value of your investment:

Market value = Current number of shares * Current price per share

Market value = 1440 * $12 = $17,280

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Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6