A bus covered the 400-km distance between points a and b at a certain speed. on the way back the bus traveled at the same speed for 2 hours and then increased the speed by 10 km/hour until it reached a, thus spending 20 fewer minutes on the return trip. how long did the return trip take?

Answer:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

Step-by-step explanation:

Answer:

its 40 degrees

Step-by-step explanation:

rata ta taaa

Answer:

The correct option is C.

Step-by-step explanation:

From the given graph it is noticed that the vertices of triangle 1 are P'(-2,2), Q'(-4,4) and R'(-2,4). The vertices of triangle 2 are P(2,2), Q(4,4) and R(4,2).

If a figure rotated counter-clockwise 90° about the origin, then

[tex](x,y)\rightarrow (-y,x)[/tex]

If we rotate triangle 2 counter-clockwise 90° about the origin, then[

[tex]P(2,2)\rightarrow P'(-2,2)[/tex]

[tex]Q(4,4)\rightarrow Q'(-4,4)[/tex]

[tex]R(4,2)\rightarrow R'(-2,4)[/tex]

If we rotate triangle 2 counterclockwise, then we get the triangle 1.

Therefore the correct option is C.

Changing the slope of the equation from 4 to 2 reduces the steepness of the line in the graph, with the y-intercept remaining constant at 3.

The student asked about the effect on the slope of the linear equation when changing from y = 4x + 3 to y = 2x + 3. The slope of the first equation is 4, which can be seen from the coefficient of x, indicating a rise of 4 on the vertical axis for every increase of 1 on the horizontal axis. When the equation changes to y = 2x + 3, the slope is reduced to 2, which means there is a rise of 2 on the vertical axis for every increase of 1 on the horizontal axis. This change in the slope would cause the line to rotate clockwise when graphed on a coordinate plane. The y-intercept remains the same at 3 since it is unchanged in both equations. Therefore, changing the equation has the effect of decreasing the steepness of the line, but the location where the line crosses the y-axis does not change.

The actual distance between the houses is 18.9 miles.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Given that On a​ map, 1 inch equals 9.2 miles. Two houses are 3.5 inches apart on the map.

To find the actual distance between the​ houses.

Given that,

1 inch = 9.2 miles

Therefore,

∴ we get

3.5 inches = 3.5 × 9.2 miles

                = 13.8 miles

The actual distance is 13.8 miles.

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Final answer:

To find the actual distance between the houses, we can set up a proportion using the given map scale. The actual distance between the houses is 32.2 miles. Using the ratio 1 inch/9.2 miles = 3.5 inches/x is more helpful in solving the problem.

Explanation:

To find the actual distance between the houses, we need to use the scale of 1 inch equals 9.2 miles. We are given that the two houses are 3.5 inches apart on the map.

First, we can set up a proportion to find the actual distance:

1 inch / 9.2 miles = 3.5 inches / x

Cross-multiplying, we have:

1x = 3.5 * 9.2 miles

Simplifying, we get:

x = 32.2 miles

The actual distance between the houses is 32.2 miles.

To represent the scale with two different ratios, we can use the proportion:

1 inch / 9.2 miles = 3.5 inches / x

This ratio is more helpful for solving the problem as it allows us to directly calculate the actual distance using the given map distance and the scale ratio.

The probability that Aaron will select a retriever given that Rebecka has selected a poodle is 4/11.

To calculate the probability that Aaron selects a retriever given that Rebecka selects a poodle, we will use the concept of conditional probability. The total number of puppies is 12, and the number of poodle puppies is 3.

When Rebecka selects a poodle, one puppy is removed from the total, leaving 11 puppies, including the same 4 retrievers (since she did not pick a retriever).

The probability that Aaron picks a retriever given Rebecka has picked a poodle is:

P(Aaron picks a retriever | Rebecka picks a poodle) = P(Rebecka picks a poodle and Aaron picks a retriever) / P(Rebecka picks a poodle)

Since Rebecka has already picked a poodle, we focus only on the event where Aaron picks a retriever. So the probability becomes:

P(Aaron picks a retriever | Rebecka picks a poodle) = Number of retrievers left / Total number of puppies left

= 4 retrievers / 11 total puppies

= 4/11

Answer:

[tex]a^{9}b^{6}[/tex]

Step-by-step explanation:

Answer:  The axis of symmetry for the function f(x) is x = -2.

Step-by-step explanation:  We are given to find the axis of symmetry for the following function :

[tex]f(x)=2x^2+8x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

for a function g(x) with the form [tex]g(x)=a(x-h)^2+k,[/tex] the axis of symmetry is given by the following equation :

[tex]x-h=0~~~~\Rightarrow x=h.[/tex]

Now, from equation (i), we have

[tex]f(x)=2x^2+8x+8\\\\\Rightarrow f(x)=2(x^2+4x+4)\\\\\Rightarrow f(x)=2(x+2)^2+0.[/tex]

Therefore, the required axis of symmetry is given by

[tex]x+2=0\\\\\Rightarrow x=-2.[/tex]

Thus, the axis of symmetry for the function f(x) is x = -2.

First, factor out -2 from the trinomial, and then factor the resulting quadratic expression by grouping. The correct factored form is -2(3x + 2)(x - 5).

To factor the trinomial “6x² + 26x + 20 completely, follow these steps:

Therefore, the correct factored form is (Option A) “2(3x + 2)(x – 5).

Answer:

all real numbers

Step-by-step explanation:

Given : y = cot(x)

To Find: Range.

Solution:

Refer the attached graph.

The domain of the function   [tex]y=cot(x)=\frac{cos(x)}{sin(x)}[/tex]   is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .  

The range of the function is all real numbers.

Referring the graph we can say that the range of the given function y = cot(x) is all real numbers .

Hence Option A is correct.

The equation that shows the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64, the correct option is C.

In this equation, the variable n represents the number we are trying to find. The equation states that when we multiply 12 and n together, the result is 64.

To solve this equation and find the value of n, we divide both sides of the equation by 12:

(12n)/12 = 64/12

n = 64/12

Which can be further simplified to:

n = 16/3

Therefore, the equation that represents the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64.

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Just took the K12 test and the correct answer is 8616 people/mi²

(please give the other person brainliest-thanks!!!)

Answer:

As we can observe from the drawing that with increasing length of side C the angle C also increases.

To solve the equation R=x(A+B) for A, divide both sides by x to get R/x = A+B. Then, subtract B from both sides to isolate A. The final equation is A = R/x - B.

The goal is to solve for A in the equation R=x(A+B). It's a simple problem of algebraic manipulation. Here's how to do it step by step:

And there you have it! The value of A in terms of R, x, and B is A = R/x - B.

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