1) Find the area of  ABC to the nearest square centimeter.

Answer: Choice B

They traveled 250 miles in 4 hours. Their speed was 62.5 mph.

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Explanation:

Start at point X. Draw a horizontal line straight across until you reach the y axis. You should arrive at y = 250. This tells us that they traveled 250 miles.

Go back to point X. Draw a vertical line until you reach the x axis. You should reach x = 4. This indicates 4 hours.

Pairing up the two values together means they traveled 250 miles in 4 hours. Divide the distance over time to get the speed

speed = distance/time = 250/4 = 62.5 miles per hour

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Side note: unfortunately your teacher chose the label uppercase X for the point, which may be a bit confusing since it could clash with the lowercase x along the horizontal axis.

Another note: the speed represents the slope of the line

Answer:

0.69

Step-by-step explanation:

Answer:

a) The student's overall average for the class is 87.97.

b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Step-by-step explanation:

Weighed average:

To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.

Grades and weights:

Scored 82.5 on the midterm, worth 30%.

Scored 88.6 on the final exam, worth 30%.

Scored 91.6 on the homework, worth 40%.

a. On a 100-point scale, what is the student's overall average for the class?

Multiplying each grade by it's weight:

[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]

The student's overall average for the class is 87.97.

b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Score of x on the final class, and verify that the average could be 93.5 or higher. So

[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]

[tex]A \geq 93.5[/tex]

[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]

[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]

[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]

[tex]x \geq 105.425[/tex]

He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Answer:

-5

Step-by-step explanation:

add 5 and 10 makes 14

minus 5 from 15

multiply 10 and 4 and add to 15 to get 40

subtract 45 from 40 and get -5

Answer:

Step-by-step explanation:

Lateral Area of a Cylinder is A = 2πrh

Substitue the values in the above equation to get:

A = 2(π) * 5 * 7

A = 70 π

Answer:

Given:

     b = 8 cm

     h = 3 cm

Find : Volume

Formula: V = [tex]a^{2}[/tex]h/3

Solution: V = (8 cm)2 ( 3 cm)/ 3

               V = (64 cm2)(3 cm)/3

               V = 192 cm3/3

               V = 64 cubic cm

Answer:

[tex]P = (2,-3)[/tex]

Step-by-step explanation:

Given

[tex]m : n = 3 : 2[/tex]

[tex]A = (8,6)[/tex]

[tex]B = (-2,-9)[/tex]

Required

The coordinate of {

This is calculated as:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex]P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})[/tex]

[tex]P = (\frac{10}{5},\frac{-15}{5})[/tex]

[tex]P = (2,-3)[/tex]

Answer:

64.8

Step-by-step explanation:

84.5 - 19.7 = 64.8

Answer:

Step-by-step explanation:

cos θ=8/17

sec θ=17/8

sec² θ-tan²θ=1

tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8

Answer:

58

Step-by-step explanation:

Answer:

$13.60

Step-by-step explanation:

16.00 x .85 = 13.60$

-- Gage Millar, Algebra 2 Tutor

Answer:

$18.40 is the final cost

Explanation:

Multiply 15% and 16 and add the product with 16.

Answer:

Option A. –2 – 2√2

Step-by-step explanation:

√8 / √2 – 2

The above expression can be simplified as follow.

√8 / (√2 – 2)

Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:

√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)

√8(√2 + 2) / (√2 – 2)(√2 + 2)

√16 + 2√8 / 2 + 2√2 – 2√2 – 4

√16 + 2√8 / 2 – 4

√16 + 2√8 / –2

Recall

√16 = 4

√8 = √(4×2) = √4 × √2 = 2√2

Thus,

√16 + 2√8 / –2 = 4 + 2×2√2 / –2

= (4 + 4√2) / –2

= 4/–2 + 4√2/–2

= –2 – 2√2

Therefore,

√8 / (√2 – 2) = –2 – 2√2

Thus, option A gives the correct answer to the question.

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

A, B, C are Collinear points

Step-by-step explanation:

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

Answer:

Mean = 4.7

Mode = 5

Median = 5

Step-by-step explanation:

Mean = Σfx / Σf

Σfx = (3*4) + (4*5) + (5*7) + (6*2) + (7*2) = 93

Σf = (4+5+7+2+2) = 20

Mean = 93 / 20

= 4.65

= 4.7

Mode = highest occurring = vlaue with highest frequency = 5

Median :

20 / 2 = 10

Value corresponding to the 10th term = 5

Answer:

GARDEN = 9 years

TREE = 99 years

Step-by-step explanation:

the following equation can be derived from the question

age of oak tree = 11x

age of garden = x

11x + x = 108

12x = 108

x = 9

oak tree = 11 x 9 = 99

Answer:

D) No Solution.

Step-by-step explanation:

7-4x=2+x+6-5x

7-4x=8+x-5x

7-4x=8-4x

7-8-4x=-4x

-1-4x=-4x

-1=-4x+4x

-1=0

no solution

Answer:

(D) H_0H0​: The direction of the ball and whether it results in a hit or an out are independent.

Step-by-step explanation:

Given that

There is 300 balls random sample is taken

We need to find out the appropriate null hypothesis that lies between the ball direction and lead to a hit or an out

So

Based on the given options, the option d is correct as the ball direction and its results either be hit or on out would represent that they are independent

Therefore the option d is correct

Answer:

337

Step-by-step explanation:

300(2)^(3/18)

= 300(2)^1/6

= 337.

Answer:

Y=x/3 is the answer

Step-by-step explanation:

Hope this helps!!

i think the answer is -5???

Answer:

-10

Step-by-step explanation:

Answer:

25 Balls

Step-by-step explanation:

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

Answer:

x = 14

Step-by-step explanation:

Hope that will help you

Answer:

rank 6

Step-by-step explanation:

Answer:

Two real roots

Step-by-step explanation:

The portion of the quadratic formula that determines the number of roots is

b² - 4ac

If it's positve there are two real roots

If it's zero there is one real root

If it's negative there are no real roots

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b² - 4ac = 7² - 4(3)(-8)

b² - 4ac =  49 + 96

b² - 4ac =  145

Two real roots since 145 is positive

The quadratic equation has two real zeroes

What is quadratic equations?

The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).

It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.

What is quadratic formlua?

D=b²-4ac

x=(-b±√(b²-4ac))/2a

y = 3x² + 7x - 8

On comparing with ax²+bx+c, we get

a=3, b=7 and c=-8

Using Quadratic formula

D=b²-4ac

   =7²+4x3x8

   =49+96

     =145>0

Hence it has real zeroes

Learn more about Quadratic equation,

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