A pickup truck traveled a distance of 210 miles in 5 hours. If the pickup truck travels at the same speed, how many miles would this truck travel in 6 hours?

175 miles
252 miles
2,310 miles
6,300 miles

The slope-point formula:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (0, 3) and (-10, 4)

Substitute:

[tex]m=\dfrac{4-3}{-10-0}=\dfrac{1}{-10}\\\\y-3=-\dfrac{1}{10}(x-0)\qquad|\text{add 3 to both sides}\\\\y=-\dfrac{1}{10}x+3\to\boxed{A.}[/tex]

ANSWER

The set of the intersection  of {[tex]2,3,5,7[/tex]} and {[tex]2,5,11,13[/tex]} is

{[tex]2,5[/tex]}

EXPLANATION

Let [tex]A=[/tex]{[tex]2,3,5,7[/tex]}

and

[tex]B=[/tex]{[tex]2,5,11,13[/tex]}.

The intersection of the two sets are the elements that are in both set A and set B.

The elements that are common to both sets are 2 and 5. So, we write;

[tex]A \cap B=[/tex]{[tex]2,5[/tex]}

Therefore the correct answer is C

The intersection of the sets {2,3,5,7} and {2,5,11,13} is the set {2,5}, which has the elements common to both sets. Therefore option c is correct

The intersection of two sets is the set of elements common to both sets. In the provided sets {2,3,5,7} and {2,5,11,13}, the common elements are 2 and 5. Therefore, the intersection of these two sets is {2,5}. So, the correct answer is C. {2,5}.

https://brainly.com/question/33193647

#SPJ3

P<1.5

Step-by-step explanation:

Final answer:

The cable company had approximately 866.67 regular subscribers.

Explanation:

To find the number of regular subscribers, we need to set up a proportion using the given ratio. The ratio of regular subscribers to premium subscribers is 10:3, which can be written as 10/3. Let x represent the number of regular subscribers.

We can set up the proportion:

10/3 = x/260

Cross-multiplying, we get:

3x = 260 * 10

3x = 2600

Dividing both sides by 3, we find:

x = 2600 / 3

Therefore, the cable company had approximately 866.67 regular subscribers.

it SHOULD be a function, it looks like it at least. All domains are not duplicated so its a function

10 units

calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 5, 8 )

d = √(- 5 - 3 )² + (8 - 2 )²

  = √(64 + 36 ) = √100 = 10

Answer:

Option C

Step-by-step explanation:

Given a quadratic equation

x^2+10x+24 =0

We can use either formula or factorization method to solve this equation.

The last term is 24, it is a product of 6 and 4. Sum =6+4 =10

Hence factoring can be done easier

Split the middle term as 6x +4x

x^2+6x+4x+24 =0

x(x+6)+4(x+6)=0

(x+4)(x+6)=0

Either x+4 =0 or x+6 =0

x=-6 or x =-4

Thus solution for this equation is option C

dude its b thats easy and yes im sure 4 units down and sense its not reflection then thats the answer

Follow this as an example

An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of

10 m

and a depth of

1.4 m

. Suppose water is pumped into the pool at a rate of

11 m3

per hour. How many hours will it take to fill the empty pool?

Use the value

3.14

for

π

, and round your answer to the nearest hour. Do not round any intermediate computations.

The formula for the volume of a cylinder is  ∏r2h.  The problem gives d=10m, so r=5m.

The pool holds  (3.14)*52*1.4 m3 = 109.9 m3 of water.

At a rate of 11 m3 per hour:

            ( 109.9 m3 ) / (11 m3/hr)  = 9.990909 hr.

              rounding to the nearest hour, this is 10 hours

The pool has a volume of approximately 47.97 cubic meters. The pump can fill 11 cubic meters per hour. Therefore, rounding up, it will take roughly 5 hours to fill the pool.

The volume of the swimming pool shaped like a cylinder can be calculated using the formula for the volume of a cylinder which is V = πr2h, where r is the radius, h is the height (or depth in this case) and π is a constant whose value we'll take as 3.14. Therefore, the volume of the pool is V = 3.14 * (6/2)2 * 1.7.

Once we have the volume, we can divide this by the rate of water being pumped in, in terms of how many cubic meters it pumps per hour, to find out how many hours it would take. So the time taken to fill the pool, in hours, is Time = Volume / Rate.

By substituting the numbers we have into these formulas, we get V = 3.14 * 9 * 1.7 = 47.97 m3, and Time = 47.97 m3 / 11 m3/hour = approximately 4.36 hours. Since we need to round up to the nearest hour, the pool will take about 5 hours to fill.

https://brainly.com/question/36477278

#SPJ11

Answer:

9

Step-by-step explanation:

0.9 per cent of 1000 = 0.9(1000)/100 = 0.9(10) =9

Let x represent the number of ounces of vinegar

Let y represent the number of ounces of lemon juice

Oil required = 8 oz

Container can hold = 16 oz

So the inequality equation will be :

[tex]x+y+8\leq16[/tex]

ANSWER

Each side of the chip is 5 centimeters long.

EXPLANATION

The chip is in the form of a square.

The formula for finding the area of a square is

[tex]Area=l^2[/tex]

We were given in the question that, the area is 25 square centimeters. This means that,

[tex]25=l^2[/tex]

We take the square root of both sides to get,

[tex]\sqrt{25}=l[/tex]

[tex]\Rightarrow 5=l[/tex]

Hence the length of the square technology chip is 5 centimeters

The perimeter of △ABC is approximately 25.93 units. The area of △ABC is approximately 28.62 square units.

Given that △ABC has m∠A=60°, m∠C=45°, and AB=9, we can use trigonometry to find the missing side lengths and then use them to calculate the perimeter and area of the triangle.

First, we can use the fact that the sum of the angles in a triangle is 180° to find m∠B:

m∠A + m∠B + m∠C = 180°

60° + m∠B + 45° = 180°

m∠B = 75°

Next, we can use the law of sines to find the length of side BC:

sin 60° / 9 = sin 75° / BC

BC = sin 75° * 9 / sin 60°

BC ≈ 8.14

Finally, we can use the fact that the sum of the side lengths of a triangle is its perimeter to find the perimeter of △ABC:

Perimeter = AB + BC + AC

Perimeter = 9 + 8.14 + AC

To find AC, we can use the fact that the angles in a triangle add up to 180°:

m∠A + m∠B + m∠C = 180°

60° + 75° + m∠C = 180°

m∠C = 45°

Now we can use the law of sines again to find AC:

sin 45° / AC = sin 60° / 9

AC = sin 45° * 9 / sin 60°

AC ≈ 7.79

Substituting this value into the equation for the perimeter, we get:

Perimeter = 9 + 8.14 + 7.79

Perimeter ≈ 25.93

Therefore, the perimeter of △ABC is approximately 25.93 units.

To find the area of △ABC, we can use the formula for the area of a triangle:

Area = 1/2 * base * height

We can use the fact that △ABC is a right triangle (since m∠C = 45°) to find the height:

sin 45° = height / 9

height = sin 45° * 9

height ≈ 6.36

Substituting the values for the base and height into the formula for the area, we get:

Area = 1/2 * 9 * 6.36

Area ≈ 28.62

Therefore, the area of △ABC is approximately 28.62 square units.

Perimeter of △ABC: 20.67 units,

Area of △ABC: 20.11 square units.

In △ABC, we are given that ∠A = 60°, ∠C = 45°, and AB = 9 units. To find the perimeter, we need to calculate the length of side BC. Using the angles, we can determine that ∠B = 180° - ∠A - ∠C = 75°. Now, applying the Law of Sines, we find BC ≈ 8.21 units. The perimeter, therefore, is the sum of the three sides: 9 + 8.21 + BC ≈ 20.67 units.

For the area, we can use the formula A = 0.5 * AB * BC * sin(∠C). Substituting the known values, we get A ≈ 0.5 * 9 * 8.21 * sin(45°) ≈ 20.11 square units.

Explanation:

In the main answer, we first addressed the perimeter by finding the length of side BC through the Law of Sines. The perimeter is then calculated by summing the three sides.

Moving on to the area, we employed the formula for the area of a triangle involving two sides and the sine of the included angle. Substituting the given values, we obtained the area of △ABC as approximately 20.11 square units.

These calculations showcase the application of trigonometric principles in solving geometric problems involving angles and side lengths. The Law of Sines and the area formula for triangles provide a mathematical framework for determining these essential properties.

The formula of a distance between two points A and B:

[tex]|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

We have A(6, 6) and B(2, 9).

Substitute:

[tex]|AB|=\sqrt{(2-6)^2+(9-6)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]

7.5y - z/9 + 50 + 2y

Okay, so it would be best to organize and simplify this expression: 9.5y -z/9 + 50

Alright, now let's eliminate some answers.

True or false: The constant is 7.5. This is false. 7.5 is a coefficient, 50 is a constant.

True or false: The coefficients are 7.5 and -9. This is false. Sure, 7.5 is a coefficient, but -9 is not. Actually, z/9 is also equal to (1/9)z, so technically 1/9 is the coefficient.

True or false: The variables are x and y. This is false. Where is x? Nonexistent.

True or false: The like terms are 7.5y and 2y. This is true. When we simplified the equation, we first combined like terms. 7.5y and 2y are like terms and therefore able to be combined. That's how we got 9.5y.

The answer, I believe, is D. Hope this helps!

Intercept form is: y = a(x - p)(x - q)  

It is given that:  p = 14, q = -6, x = 14, y = 4

4 = a(14 - 12)(14 - (-6))

4 = a(2)(20)

4 = 40a

[tex]\frac{4}{40} = \frac{40a}{40}[/tex]

[tex]\frac{1}{10} = a[/tex]

Answer: y = [tex]\frac{1}{10}[/tex](x - 14)(x + 6)

I believe it is A.  I did this awhile ago.

Answer:

x = 1; y = 1; z = 0

Step-by-step explanation:

First problem:

First equation minus second equation: 3y + 2z = 3      Eq. A

Second equation plus third equation: 2y + 4z = 2        Eq. B

-2 times Eq. A plus Eq. B: -4y = -4

y = 1

Substitute y = 1 in Eq. A: 3 + 2z = 3

2z = 0

z = 0

Substitute z = 0 and y = 1 in original first equation:

-2x + 2 + 0 = 0

-2x = -2

x = 1

Answer: x = 1; y = 1; z = 0

answer is equal to 168/144

7/6feet

To solve this problem you must apply the proccedure shown below:

1. You can use the following formula for calculate the volume:

[tex]V=(\frac{a+b}{2})(h)(l)[/tex]

Where:

[tex]a=6m\\b=12m\\h=8m\\l=3m[/tex]

2. Now, you must substitute the values above into the formula:

[tex]V=(\frac{a+b}{2})(h)(l)\\V=(\frac{6m+12m}{2})(8m)(3m)\\V=216m^{3}[/tex]

Therefore, the answer is the last option: D. 216 m³.

[tex]P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5[/tex]

If [tex]x+a[/tex] is a factor of [tex]P(x)[/tex], then [tex]-a[/tex] is a root of [tex]P(x)[/tex].

Therefore

[tex](-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0[/tex]

For this one, there are a few steps that will make it easier towards the end.

First lets solve for y

y+3x=8

subtract 3x from both sides

y=-3x+8

Now you are ready to plug in each of the x values and solve for y.

x vaues: -1, 0, 3

Here is what it would look like for each:

y=-3(-1)+8

y=3+8

y=11

y=-3(0)+8

y=8

y=-3(3)+8

y= -9+8

y=-1

So your final answer would be y= {-1, 8, 11}

~be careful putting it into the system, that one is sensitive~

Hope this helps!

Hello!

Solve for y.

[tex]2x +4y =12[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to add by -2x from both sides of the equation.

[tex]2x+4y+-2x=12+-2x[/tex]

[tex]4y=-2x+12[/tex]

Then divide by 4 from both sides of the equation.

[tex]\frac{4y}{4}=\frac{-2x+12}{4}[/tex]

Simplify it should be the correct answer.

[tex]y=\frac{-1}{2}x+3[/tex]

Answer⇒⇒⇒⇒⇒⇒y=-1/2x+3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

5/8 is the answer. I just x the numerator and denominator by 2 to be 6/8-1/8=5/8

10 units up means to add 10 to the y-coordinate of the vertex (h, k).

p(x) = 0.005(x - 40)² + 60

p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)

                                q(x) =  0.005(x - 40)² + 70