HELP ME PLEASE ASAP ASAP

Answer:

1 is to 4

Step-by-step explanation:

the factor is 1-4 meaning 32÷8 is 4 so having 1 would mean the other factor is 4

2,673 minus 281 is 2,392.

2,392 divided by 2 is 1,196.

1,196 plus 281 is 1,477.

Answer: Ricky hit 1,196 and Pedro hit 1,477.

Answer:

Step-by-step explanation:

To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.

Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.

5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.

Answer:

C ≈ 207.3 ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( where r is the radius ) , then

C = 2π × 33 = 66π ≈ 207.3 ft ( to the nearest tenth )

Answer:

103.67 feet

Step-by-step explanation:

using C = pi d

the tangent is only horizontal at the critical points of the equation, so

\(y=2x^3+3x^2-12x+3\implies \cfrac{dy}{dx}=6x^2+6x-12\implies \cfrac{dy}{dx}=6(x^2+x-2) \\\\\\ \stackrel{\textit{setting the derivative to 0}}{0=6(x^2+x-2)}\implies 0=x^2+x-2 \\\\\\ 0=(x+2)(x-1)\implies \boxed{x= \begin{cases} -2\\ 1 \end{cases}} \\\\[-0.35em] ~\dotfill\\\\ y=2(-2)^3+3(-2)^2-12(-2)+3\implies y=-16+12+24+3\implies \boxed{y=23} \\\\\\ y=2(1)^3+3(1)^2-12(1)+3\implies y=2+3-12+3\implies \boxed{y=-4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \text{\LARGE (-2~~,~~23)\qquad (1~~,~~-4)}~\hfill\)

Answer:

1/4

Step-by-step explanation:

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

Given the triangle ABC :

The coordinates of the triangle are :

First, translation a long the vector (-1 , -3)

So, the rule of translation will be :

Second, Rotation 180 degree about the origin:

The rule of rotation will be :

Finally, dilated with a factor of 2:

So, the rule will be :

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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Answer:

what

Step-by-step explanation:

Answer:

This is a scalene triangle

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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Answer:

8

Step-by-step explanation:

To find the average rate of change we use the function

\(f(x) = \frac{f(b) - f(a)}{b - a} \\ f(x) = \frac{f(6) - f(1)}{6 - 1} \\ \frac{(8(6) - 3) - (8(1) - 3)}{5} \\ \frac{48 - 3 - (8 - 3)}{5} \\ \frac{45 - 5}{5} \\ \frac{40}{5} \\ 8

\)

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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If he  has allocated $67,050 for the cost of growing his crops. The number of acres of each crop that should  plant is Corn 270, Wheat 540, Soybeans 450.

Let c = corn

Let w = wheat

Let s = soybeans

C+W+S = 1260

45C + 60W + 50S = 67050

W =2C

Substitute equation 1 into equation 2

C + 2C +S = 1260

3C + S =1260

45C + 120C + 50S =67050

165C +50S =67050

Let eliminate S

165C+ 50(1260-3C) =67050

165C + 63000 - 150C= 67050

15C= 4050

Divide both side by 15c

c =4050/15

c = 270 (corn)

Wheat

W=2C

w = 2(270)

w= 540

S= 1260 - 3C

S= 1260- 3(270)

S =1260 -810

S = 450 (soybeans)

Therefore , 270, 540 and 450 are the acres that should be planted.

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Since we have a right triangle, we can apply Pytagorean theorem, that is,

where the 13 units side is the hypotenuse. Remember that the hypotenuse is always in front of the right angle.

From our last equation, we have

Now, by subtracting 64 to both sides, we get

and by taking square root to both sides, we obtain

Therefore, 105 is the number that belongs in the green box.

Answer:

to multiply two radicals the index must be the same. And once we have the same index we can multiply the coefficients. And then multiply the radicands.

Step-by-step explanation:

The value of   A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given ,

Each of the letters in the multiplication sum below represents a digit: 7A times B5

C90 DE20 = F5GH

Than we have to find

the value of A+B+C+D+E+F+G+H =

From first expression ,

7A times B5 = C90

From this we can say that A = 5 as

last digit in C90 is 0

so,

75 + B5 = C90

if C=1

75+B5 = 190

B5 = 190 -  75

B5 = 115

B = 11

And

C90 + DEF20 = F5GH

190 + DEF20 = F5GH

H = 0

G = 1

F = D

that is F=1

D = 1

E = 3

So, the value of   A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.

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Answer: y=6x-5

Step-by-step explanation:

Step-by-step explanation:

slope intercept form:y=mx+b

m= slope

b= y-intercept

use the slope formula to get the slope

y2-y1/x2-x1

7-1/2-1

6/1

6 the slope is 6

y=6x+b

plug in values from (1,1) and solve for b

1=6(1)+b

1=6+b

b=-5

y=6x-5

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

n = 9 / 2 or 4.5

Step-by-step explanation:

2/3 = 3/N

cross multiply

2 x n = 2n

3 x 3 = 9

2n = 9

divided both sides by 2

2n / 2 = 9 / 2

n = 9 / 2

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

Step-by-step explanation:

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

Step-by-step explanation:

-5y = -4x + 5

5y = 4x - 5

y = 4/5x - 1

perp. -5/4

y - 3 = -5/4(x - 5)

y - 3 = -5/4x + 25/4

y - 12/4 = -5/4x + 25/4

y = -5/4x + 37/4

Answer:

The angle is approximately \(31^{o}\).

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = \(\frac{60}{100}\)

         = 0.6

θ = \(Tan^{-1}\) 0.6

  = \(30.964^{o}\)

θ = \(31^{o}\)

The angle of elevation from the end of the shadow to the top of the pole is \(31^{o}\).

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

we have the x values as 0,1,2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

we have y values as 0,1,2

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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