Anthony drove 140 miles in 2 1/2 hours. He then drove the next 3 1/4 hours at a rate that was 6 miles per hour slower than his first rate. How many miles did Anthony drive in all?

Answer:

I'm pretty sure y is the height.

Answer:

Step-by-step explanation:

This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).

Hope this helps!

Answer:

See below

Step-by-step explanation:

the x + 4   will shift the graph 4 units LEFT

the - 8 part will shift the graph 8 units DOWN

Answer: [tex]-\frac{7}{11}[/tex]

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.

Sub the values in

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]

Now solve

[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]

Answer:

252

Step-by-step explanation:

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2 x 2 x 3 x 3 x 7

LCM = 2^2 x 3^2 x 7

LCM = 252

The least common multiple of 28, 42 and 63 is 252.

Answer:

LCM = 252.

Step-by-step explanation:

First find their prime factors:

28 = 2*2*7

42 = 2*3*7

63 = 3*3*7

So, only including like factors once, LCM =

2*2*3*3*7

= 252

Answer: Choice C

(-8, 6)

===============================================

Reason:

This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

Answer:

91,300 to 3 s.f.

Step-by-step explanation:

The population is reduced by a percentage 100-7 = 93%  ( or 0.93) per year.

So after 5 years thatwould be 300,000(0.93)^5

= 208707

that is 300,000 - 208,706

= 91293

= 91,300 to 3 s.f.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.

Hence ~

[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]

[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]

[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]

[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]

Therefore, value of x is 7

Angles drawn inside chords and radius hence they are equal

Answer:

y = 110 degree

x = 70 degree

z = 70 degree

Step-by-step explanation:

Vertical angles are always congruent.

so, the angle with the 110 degree is equal to the angle y.

now we have the measure of y.

as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree

now, to get the measure of angle z,

180 - 110 = angle z

70 = angle z

now we have the measure of angle z

as angle z and angle x are vertical angle, they are congruent.

so angle x = 70

x = 70

z= 70

y = 110

hope this helps:)

Answer:

Just multiply the number by the percentage.

Step-by-step explanation:

1. Make the percentage into a decimal (%50= 0.50)

2. Multiply the decimal by the number.

Answer:

No it isnt possible

Step-by-step explanation:

it is not because 2,783,000 is not divisible by 9

well, from 2010 to 2021  is 11 years later, so

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]

Answer:

If you mean the angle at X... 70°

Step-by-step explanation:

[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]

____________________________________________

[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]

[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]

_____________________________________________

As you know :

[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]

_____________________________________________

[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]

[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]

And we're done...

Take care ♡♡♡♡♡

Answer:

5.1 is the correct answer

hope it will help you

Answer:

AC ≈ 23.6 units

Step-by-step explanation:

m∠CAD = 90°

CD = 2×14 = 28 , AD = 15

CD² = AD² + AC² ⇒ AC² = CD² - AD²

AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559

AC ≈ 23.6

Answer:

157

Step-by-step explanation:

To find this, we just have to reverse the problem and subtract 23 from 180:

[tex]180-23=157[/tex]

So your answer is 157.

Hope this helps! Have a good day! :)

157

Step-by-step explanation:

180-23= 157

The answer is 157

Answer:

Yes diciembre Eqsakdulien

Answer:

x = 5

Step-by-step explanation:

x + 4 = 3(x - 2) ← distribute parenthesis by 3

x + 4 = 3x - 6 ( subtract 3x from both sides )

- 2x + 4 = - 6 ( subtract 4 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Answer:

Step-by-step explanation:

In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .

Solution : -

[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]

Step 1 : Solving parenthesis on right side :

[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]

On further calculations we get :

[tex] \longrightarrow \quad \: x = 3x - 10[/tex]

Step 3 : Subtracting 3x on both sides :

[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: - 2x = - 10[/tex]

Step 4 : Dividing both sides by -2 :

[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

Therefore, our answer is correct .

The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).

A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.

An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.

The dot plot is given in the question,

According to the given dot plot,

Most data are clustered around [12, 14], while 24 is distant from this interval.

Thus, the red arrow represents an outlier in the given dot plot.

Hence, the correct answer would be option (A).

To learn more about the dot plot click here:

https://brainly.com/question/22746300

#SPJ2

Answer:

20

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

Apply cross product property

Multiply the numbers

Divide both sides of the equation by 5

Calculate

Answer:

The answer should be 5:12.

Step-by-step explanation:

Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.

So, just find the greatest common divisor of 20 and 48, which would be 4.

20/4 = 5

48/4 = 12

Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.

Answer:

[tex]30.25\pi ft^2[/tex]

Step-by-step explanation:

Answer:

y = 4

Step-by-Step explanation:

4x5 = 20

2x5 = 10

20+10=30.

(4x5) + (2x5) = 30

or

(yx5) + (2x5) = 30

Brainliest would be appriciated :) have a nice day!

Answer:

True

Step-by-step explanation:

hopes this helps.