find x and y intercepts of x+4y=8

Answer:

yea, correct, perfect yes sir

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

This is the vertices after  the 270° counterclockwise rotation.

Given vertices,

W(-6,-2), X(-2,-2), Y(-2,-6), and Z(-5, -6).

Here we have to rotate 270°.

We know that,

Rotating a point 90° counterclockwise: (x, y) → (-y, x).

Rotating  a point 180° counterclockwise: (x, y) → (-x, -y).

Rotating a point 270° counterclockwise: (x, y) → (y, -x).

So here we are rotating the figure 270°,

W(-6,-2)→ W'(-2 , 6)

X(-2,-2)→ X'(-2 , 2)

Y(-2,-6)→ Y'(-6 , 2)

Z(-5, -6)→ Z'(-6 , 5)

The vertices after rotating 270° counterclockwise about origin is:

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

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The probability that the pilot weighs between 140 and 190 pounds is 0.6262.

When provided,

µ = 158

σ = 27.2

We must determine P(140 x 190).

P(140< x < 190) = P(x< 190) - P(x<140)

Locate P(x 190).

Z = (x - µ)/σ

Z = (190 - 158)/27.2

Z = 1.176471

P(Z<1.176471) = P(x<190) = 0.880297

[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]

Find P(x>140) now.

Z = (x - µ)/σ

Z = (140 - 158)/27.2

Z = -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254061

P(140< x < 190) = P(x< 190) - P(x<140)

P(140< x < 190) = 0.880297 - 0.254061

P(140< x < 190) = 0.626236

The necessary probability is 0.6262.

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Answer:

Step-by-step explanation:

0.626 is the probability that the pilot weighs between 140 and 190 pounds.

Mean (µ ) = 158

S.D(σ ) = 27.2

P(140 x 190)=?

P(140< x < 190) = P(x< 190) - P(x<140)

Find  P(x 190).

Probability determined using Z-table.

Z = (x - µ)/σ

  = (190 - 158)/27.2=1.176471

P(Z<1.176471) = P(x<190) = 0.88

Find P(x>140)

Z = (140 - 158)/27.2= -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254

P(140< x < 190) = 0.88 - 0.254

                          = 0.626

Therefore probability is 0.626.

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The values of u and v that makes △QRS and △IKJ congruent triangles are u = 7 and v = 3

The triangles are given as

△QRS and △IKJ

The statement △QRS≅△IKJ means that

The triangles △QRS and △IKJ are congruent triangles

This means that the corresponding sides are congruent

So, we have the following equations:

v + u + 15 = 10u - 15v

-4u + 2v + 99 = 7v + 8u

Evaluate the like terms

So, we have

9u - 16v = 15

12u + 5v = 99

Make u the subject in 12u + 5v = 99

So, we have

u = (-5v + 99)/12

Substitute u = (-5v + 99)/12 in 9u - 16v = 15

9(-5v + 99)/12 - 16v = 15

So, we have

9(-5v + 99) - 192v = 180

Open brackets

-45v + 891 - 192v = 180

Evaluate the like terms

-237v = -711

Divide by -237

v = 3

Substitute v = 3 in u = (-5v + 99)/12

u = (-5 x 3 + 99)/12

Evaluate

u = 7

Hence, the values are u = 7 and v = 3

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We have a loan of 65 days.

The principal is $1250 and the interest is $7.75.

We have to find the annual simple interest rate.

We can express the interest of a loan of this type as:

where r = annual interest rate, t = period of the loan in days, I = interest and P = principal.

Then, we can rearrange the equation and replace with the values:

Answer: the annual simple interest rate is 3.4%.

Answer:

Step-by-step explanation:

The  area of the triangle when the vertices of the triangle are given can be calculated by the following formula:

Area of triangle = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|  where the vertices are A(Ax, Ay), B(Bx, By), C(Cx, Cy)

Now, we have been given the values of vertices as A(4, -3) B(9,-3) , and C(10, −11)

Therefore,

By applying the formula and substituting the given values, we get

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Area = 0.5 * |44|

Area = 22

Hence, the area of triangle ABC with the given vertices is 22 square units

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We have to calculate the area and perimeter of ABC.

Area:

We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.

The area of ABD is:

The area of BCD is:

Then, the area of ABC is:

The area of ABC is 90 cm^2.

Perimeter:

We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).

The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:

Now, we can calculate the perimeter as:

The perimeter is 53 cm.

[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]

The associated number of degrees of freedom for reading the t-value is 58.

The aim is to determine an interval for the mean of a population.

The standard deviation is unknown to us. The sample consists of 59 items. The mean of the sample is determined to be 32. We need to calculate the associated number of degrees of freedom for reading the t value.

We know that the degree of freedom is one less than the number of items in the sample space.

The associated number of degrees of freedom for reading the t-value is 59-1.

The associated number of degrees of freedom for reading the t-value is 58.

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The bottle contains 9.36 g of carbohydrates.

We have,

12 oz bottle contains 300 calories

We know, 1 oz = 23.35 g

12 oz = 12 * 23.35 g =280.2 g of bottel

Alcohol content = 11 %

So, the total number of alcohol in the bottle is [tex]\frac{11}{100} *280.2 = 30.8 g[/tex]

So, the bottle contains 30.8 g of alcohol.

1 gram of alcohol 7 cal of energy,

So, 30.8 g of alcohol = 7 * 30.8 cal of energy

                                  = 215.7 cal of energy

So, out of a total of 300 calories of mad elf, 215.7 calories come from alcohol.

So, (300-215.7 ) = 84.3 calories come from carbohydrates.

Each gram of carbohydrate produces 9 calories of energy.

9 calories of energy from 1 gram of carbohydrate,

1 calorie of energy from 1/9 of carbohydrate.

So, 84.3 calories from [tex]\frac{1}{9}*84.3 = 9.36 g[/tex]

Hence, the bottle contains 9.36 g of carbohydrates.

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Answer:

-16

Step-by-step explanation:

fog(18)=f(g(18))

g(18)=[tex]\sqrt{18-9} =\sqrt{9} =3[/tex]

f(3)=-8(3)+8

=-16

Answer:

128

Step-by-step explanation:

solve for inside parentheses:

-22x21÷4-12

do multiplication and division:

-115.5-12

subtract:

-127.5

Hope this helps

Given:

The speed of the beetle is, s = 9 km/h.

The objective is to convert the speed into centimeters per second.

Explanation:

Since, it is known that,

Conversion;

Then, the speed can be converted as,

Hence, the the converted value is 250 cm/s.

The domain and the range of the function g(x) = |x + 4| are oo < x < oo and y >= 4

The domain of a function are the set of output values, the function can take

The range of a function are the set  of output values, the function can take

The definition of the function is given as

g(x) = |x + 4|

From the definition of the above function, we can see that the function is an absolute value function

This means that the function has a domain of all set of real values

This domain is represented as

Domain: -oo < x < oo

For an absolute function represented as

f(x) = |x + k|

The range is

y >= k

This means that the range of g(x) = |x + 4} is y >= 4

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Answer:

c=10

Step-by-step explanation:

2c-5= 15

   +5  +5

2c=20

/2   /2

c=10

Hello!

The solution to the problem 2c - 5 = 15 is

c = 10

Step-by-step explanation:

The first step is to add 5 to both sides of the equation.

2c - 5 = 15

2c - 5 + 5 = 15 + 5

The second step is to simplify by adding the numbers.

2c - 5 + 5 = 15 + 5

2c = 20

The third step is to divide both sides of the equation by the same factor.

2c = 20

2c ÷ 2 = 20 ÷ 2

The fourth step is to simply by canceling out the numbers which are present in both the denominator and numerator, then divide.

2c ÷ 2 = 20 ÷ 2

c = 10

Hope this helped!

The problem says you have 10 books arranged on a shelf and then you are choosing 4 books in alphabetical order.

Given that you are choosing books with an order (alphabetical) it means the order does matter, then it is a permutation (which is an ordered combination).

In this case, no repetitions are allowed because you can't repeat a book in the selection, they'll be 4 different books from the shelf, the formula you have to use is:

Then n=10 and r=4, replace these values:

Then, can be chosen 5040 different groups of books.

The answer is option D.

A 20-ounce bottle of lotion costs $3.95 then each of the ounce of the bottle will cost 0.173 ounce.

we were told that the cost of the 20-ounce bottle of lotion is  $3.95

then we can know the value cost of just one of the bottle of notion by using the expression below

X = the cost of each of the  bottle of lotion

then X=  $3.95 / 20-ounce bottle= 0.173 ounce

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Answer:

-60x + 32 = -60x - 32

Step-by-step explanation:

The first step to solve this question is combining the like terms in each option.

In those that we end up with:

0x = c

In which c != 0, we have no solution. So

-60x + 32 = 32x + 60

-60x - 32x = 60 - 32

-92x = 28

No 0x, so it has solution

-60x + 32 = 32x - 60

-60x - 32x = -60 - 32

-92x = -92

No 0x, so it has solution

-60x + 32 = -60x - 32

-60x + 60x = -32 - 32

0x = -64

0x equaling a value different of 0, so no solution.

-60x + 32 = -60x + 60

The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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Answer:

In the graph, the coordinate point (4,-9) is a vertex

In the graph, the coordinate point (1,0) is an x-intercept

In the graph, the coordinate point (7,0) is an x-intercept

In the graph, the coordinate point (4,0) is on the line of symmetry.

Explanation:

The x-intercepts are the points where the parabola crosses the x-axis, so the coordinates of the x-intercepts are (1, 0) and (7, 0)

The y-intercept is the point where the parabola crosses the y-axis, so the y-intercept is (0, 7)

The vertex is the minimum point of the parabola, in this case, (4, -9).

The line of symmetry depends on the first coordinate of the vertex, so the line of symmetry is x = 4. It means that any point with a first coordinate equal to 4 is on the line of symmetry.

Then, the answers are:

In the graph, the coordinate point (4,-9) is a vertex

In the graph, the coordinate point (1,0) is an x-intercept

In the graph, the coordinate point (7,0) is an x-intercept

in the graph, the coordinate point (4,0) is on the line of symmetry.

The age of the spear head is found to be 1625 years.

Let us recall that the age of the sample can be determined by the use of radiometric dating. Let us now define the variables;

The constant of the decay (k) =  0.0001

The amount of the sample originally present (No) = No

The amount of the sample at time t = 0.85No

t = The age of the sample

Given that;

N= Noe^-kt

N/No = e^-kt

0.85No/No = e^-0.0001t

0.85 = e^-0.0001t

ln0.85 = -0.0001t

t = ln0.85/ -0.0001

t = 1625 years

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Answer: [tex]x=90[/tex]

Step-by-step explanation:

Using the alternate exterior angles theorem,

[tex]180-x=x\\\\180=2x\\\\x=90[/tex]

Answer:

1 x 10^16

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree, is 0.571.

The percentage of associate's degrees is 21%.

The percentage of degrees earned by people whose race is white is 58%.

The percentage of associate's degrees out of all degrees earned by people whose race is white is 12%.

Let the probability of earning an associate's degree be P(A).

P(A) = 0.21

Let the probability of earning a degree by the people whose race is white be P(B).

P(B) = 0.58

Let the probability of earning an associate's degree by the people whose race is white be P(C).

P(C) = 0.12

P(C) = P(A∩B)

We need to find the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree.

P(B/A) = P(A∩B)/P(A)

P(B/A) = 0.12/0.21

P(B/A) = 0.571

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Always that we have an integer, let's say 2, we can rewrite it like:

This will help us when multiplying fractions. To multiply two fractions, we simply multiply the numerator with the numerator and denominator with denominator. In this case:

And then solve:

Now we can further simplify this fraction, because 14 and 4 are divisible by 2, then:

14 = 2 x 7

4 = 2 x 2

Then the final answer is:

Answer:

If breadth means width then it will be 12.5

ANSWER: 10 ICE-CREAM SCOOPS

There are 5 icecream flavors

For each we need 2 scoops so = 2*5 = 10 scoops

therefore ther must be 10 icecream scoops in use for five flavors.

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