Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here

Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Step-by-step explanation:

Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.

Therefore, the correct option is A.

we observe that this figure could be divided into a triangle and a rectangle.

for the area of the triangle, bxh/2, we have 15 x 12/2 = 90

and for the rectangle, we have 5 x 12 = 60

so, 90 + 60 = 150

hope it helps :)

Answer: Tax?

(I'm just here bc I need 20 words to soobmit)

Answer:

its cash

Step-by-step explanation:

Answer:

x= 0, y=2

x=2, y=-2

x=4, y= -5

Step-by-step explanation:

Answer:

x =6

Step-by-step explanation:

5(x-2) = 14+x

Distribute

5x-10 = 14+x

Subtract x from each side

5x-x -10 = 14+x-x

4x-10 = 14

Add 10 to each side

4x-10+10 = 14+10

4x= 24

Divide by 4

4x/4 = 24/4

x =6

Answer:

5(×-2)=14+×

5x-10=14+x

5x-x=14+10

4x=24

x=6

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

Answer:

12/5

Step-by-step explanation:

Recall that trig function tan = opposite / adjacent

Find tan A

Opposite side of angle A = 24

Adjacent of A = 10

Tan (A) = 24/10

24/10 can be simplified to 12/5

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan is equal to [tex]\frac{opposite}{adjacent}[/tex]. The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is [tex]\frac{BC}{AC}[/tex]. It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:

tan(A) = [tex]\frac{24}{10} = \frac{12}{5}[/tex]

Answer:

Step-by-step explanation:

Make g the subject means solve for g:

Answer:

hello,

Step-by-step explanation:

[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]

Answer:

2=124  124/2

4=248 248/4

5=310 310/5

8=496 496/8

Step-by-step explanation:

40 + 22 = 62

62 x 2 = 124

62 x 4 = 248

62 x 5 = 310

62 x 8 = 496

i think

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

Answer:

[tex]area \: of \: square = {l}^{2} [/tex]

[tex]617796 = {l}^{2} [/tex]

[tex] \sqrt{617796 } = l[/tex]

[tex]786 = l[/tex]

therefore ,l=786cm

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

it has all the properties matching with a rhombus

answer from gauthmath

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.

According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:

–10 ≤ x ≤ 10

Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

Learn more here: https://brainly.com/question/18486099

Answer:

36 degrees

Step-by-step explanation:

First, to find the exterior angle of a polygon, we must divide 360 by the number of sides/angles that the specific polygon has. In this case, our polygon has 10 sides, so it's a decagon.

If we apply this formula, where s = # of sides, we can find the exterior angle of this polygon:

360/s = exterior angle

360/10 = 36

Therefore, the exterior angle is 36 degrees.

Answer:

36°

Step-by-step explanation:

Sum of exterior angles of a polygon = 360°

Answer:

i) h(x) = 0 when x = 1, and when x = 5

ii) The graph of h intercepts the x-axis at x = 1 and x = 5

iii) The zeros of h are 1 and 5

Step-by-step explanation:

Question;

From a similar question on the website, we have;

i) h(x) = 0 when x = _, and when x = _

ii) The graph of h intercepts the x-axis at x = _ and x = _

iii) The zeros of h are _ and _

Explanation;

The given function is h(x) = (2·x - 2)·(x - 5)

When h(x) = 0, we have;

h(x) = (2·x - 2)·(x - 5) = 0

Therefore, we have;

(2·x - 2) = 0/(x - 5) = 0

(2·x - 2) = 0

x = 2/2 = 1

x = 1

Where we proceed with (x - 5) = 0/(2·x - 2) = 0, we get;

(x - 5) = 0/(2·x - 2) = 0

(x - 5) = 0

x = 5

Therefore, when h(x) = 0, x = 1, and x = 5

ii) The graph of h intercepts the x-axis at h(x) = 0, at x = 1, and x = 5

Therefore, the graph of h intercepts the x-axis at (1, 0), and (5, 0)

iii) The zeros of h are the values of x for which h(x) = 0, which are  x = 1, and x = 5

Answer:

C.47,5cm²

Step-by-step explanation:

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

Answer: its going to be 3 dollars and 67 cents

Step-by-step explanation:

Answer:

Solution given:

f(x)=2x²-5

g(x)=3x+3

now

(f-g) (x)=?

we have

(f-g)(x)=f(x)-g(x)

Answer:

[tex]2x^{2} - 3x - 8[/tex]

Step-by-step explanation:

Step 1:  Define what (f-g)(x) means

(f-g)(x) means that we have two different functions, f(x) and g(x).  (f-g)(x) is a shorter way of writing f(x) - g(x).  Therefore you just plug in the equations and combine like terms.

Step 2:  Find (f-g)(x)

[tex]f(x) = 2x^{2} - 5[/tex]

[tex]g(x) = 3x + 3[/tex]

[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]

[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]

[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]

Answer:  [tex]2x^{2} - 3x - 8[/tex]

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is f(x) translated horizontally

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given that h(x) = g(x - 3) , then

The graph of h(x) is the graph of g(x) horizontally shifted 3 units right

Answer:

C

Step-by-step explanation:  I took the test

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

Answer:

A translation can map one angle unto another since dilations preserve angle measures of triangles

Step-by-step explanation:

The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same

A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles

A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex

The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate

Answer:

A translation because it can map one angle onto another since dilations preserve angle measures of triangles.

Step-by-step explanation:

Answer:

base = 3x - 1

height = x

area of triangle = (1/2)bh

22 = (1/2)(3x-1)(x)

44 = (3x-1)(x)

44 = 3x^2-x

0 = 3x^2-x-44

0 = 3x^2-12x+11x-44

0 = (3x^2-12x)+(11x-44)

0 = 3x(x-4)+11(x-4)

0 = (x-4)(3x+11)

x = {-11/3, 4}

throw out the negative solution (extraneous) leaving

x = 4 m (height)

.

Base:

3x - 1 = 3(4) - 1 = 12 - 1 = 11 

Step-by-step explanation:

I hope it will help you

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x   ==>   x + 3 (0.25 - 2x) = 0.25

==>   x + 0.75 - 6x = 0.25

==>   5x = 0.5

==>   x = 0.1

==>   y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==>   t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

A=16x²-8x+1

16x²-8x+1=l²

(16x²-4x)-(4x+1)=l²

4x(4x-1)-1(4x-1)=l²

x=1/4 or 1

Therefore

since x=1/4

l²=1/4=>l=>√(1/4)

l=1/2

since x=1

l²=1=>l=>√1

l=1

Therefore the length of each sides

1 or 1/2