x-15 = 8
A. x= 23
B. x = 7
C. x=-23
D. x=-7

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

Greetings from Brasil...

Here we have application of Trigonometry

COS β = adjacent side ÷ hypotenuse (H)

bringing to our problem....

COS A = AC ÷ H

But we dont have AC.... We have to use Pitagoras:

AB² = AC² + BC²

AC² = AB² - BC²

AC = √(AB² - BC²)

AC = √(10² - 8²)

AC = √(100 - 64)

AC = √36

So

COS A = AC ÷ H  ⇔ COS A = AC ÷ AB

COS A = 6/10

Answer: B) 3/5

Step-by-step explanation:

Cos = adjacent/hypotenuse

Thus, the cos is AC/AB.

Because of Pythagorean Theorem, AC^2=AB^2-BC^2.  Let AC be x.

[tex]x^2=10^2-8^2\\x^2=100-64\\x^2=36\\x=6[/tex]

Thus, the cos is 6/10, or 3/5

Answer:

-7 is no, -2 is no, 7 is no, and 10 is yes

Step-by-step explanation:

-5+9*(-7)>58

-5+-63>58

-68>58

-5+9*(-2)>58

-5+-18>58

-23>58

-5+9*(7)>58

-5+63>58

58>58

-5+9*(10)>58

-5+90>58

85>58

so the only one that is a solution is v=10, hope this helps

Answer: No, No, No, Yes

Step-by-step explanation:

Solve the equation for "v":

-5 + 9v > 58

      9v > 63

        v > 7

Check the options to see if they make a true statement:

-7 > 7    False

-2 > 7    False

7 > 7     False

10 > 7   TRUE!

Answer:

a. 113.1 cm^3.

b. 339.29 cm^3.

c. 18 cm.

d. 508.94 cm^3.

e. 169.65 cm^3.

Step-by-step explanation:

a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 [tex]cm^{3}[/tex].

b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.

c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.

d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.

e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.

Hope this helps!!

Answer:

[tex]\sqrt[5]{2^3}[/tex]

Step-by-step explanation:

2 is the base

The top of the fraction is the power

The bottom of the fraction is the root

[tex]\sqrt[5]{2^3}[/tex]

Answer: A

Step-by-step explanation:

A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator.  It sounds difficult, but is really very easy.

[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]

Thus, the answer is A

Answer:

D) all American adults

Step-by-step explanation:

The 1496 respondents are the sample of the survey that was used to represent the population of interest, which is the total population from which the sample was drawn and the population from which the researchers want to find conclusions.

Looking at the alternatives, the only one that fits the description is alternative D) all American adults .

Answer:

Each side is 5 cm

Step-by-step explanation:

What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.

a = 3

b = 4

c = the side length of the rhombus.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

Take the square root of 25

sqrt(c)^2 = sqrt(25)

c = 5

Answer with explanation:

After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)

From the given graph, the coordinates of point C = (0,6)  [Since it lies on y-axis , the x-coordinate is zero]

After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]

Now plot this point on y-axis at y=3 as given in the attachment.

Answer:

x = 8; y = 12.

Step-by-step explanation:

x + y = 20

x = -y + 20

3x + 4y = 72

3(-y + 20) + 4y = 72

-3y + 60 + 4y = 72

y = 12

x + 12 = 20

x = 8

Check your work!

3(8) + 4(12) = 72

24 + 48 = 72

72 = 72

Hope this helps!

Answer:

X=-12 and Y= 32

Step-by-step explanation:

x+y=20 -> 1

3x+4y=72 -> 2

Form 1,

[x+y=20]×4

4x+4y=60 ->3

Form 2,

3x+4y=72

4y= 72 -3x ->4

Sub (4) into (3)

4x+72-3x= 60

x = -12

Sub X=-12 into (1)

-12+y=20

y= 32

Hope this helps.

Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as:

[tex]\mathbf{x +3y > 6}[/tex]

[tex]\mathbf{y \ge 2x + 4}[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities

From the graph, we have the solutions as:

Read more about graphs of inequalities at:

https://brainly.com/question/15748955

Answer:

there are 10 triangles

5 triangles of blue colors

and 5 triangles of grey colors

area of each cloths = 5 × (area of 1 triangle)

Step-by-step explanation:

Area of triangle

Answer:

C. 2 to the 4'th power

Step-by-step explanation:

2x2x2x2 is 4 2's, the number of 2's indicates the power, so the answer would be 2 to the power of 4 because there are 4 2's

Hope this helps, If you have any questions, feel free to ask.

Have a good day! :)

Answer:

C 2 to the power of 4

Step-by-step explanation:

There are 2*2*2*2* 4 of the 2 so 2 to the power of 4

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

Answer:

69242/3 or 23080.666667

Step-by-step explanation:

2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.

2345 × 2

= 4690

4690/6

= 2345/3

2345/3 + 22299

= 69242/3

Answer: B. 9.69892 × 10^7

You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!

Answer:

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Step-by-step explanation:

The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.

P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc

= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .

This is a geometric series with first term a = 1/2 and common ratio r = 1/8

Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7

P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)

= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .

Geometric series with sum (1/4)/(7/8) = 2/7

P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .

= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .

Geometric series with sum (1/8)/(7/8) = 1/7

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Hope this helped!

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

Answer:

4

Step-by-step explanation:

Well first we need to plug in 10 for g and h for 5.

4 - .25(10) + .5(5)

4 - 2.5. + 2.5

1.5 + 2.5

= 4

Thus,

the answer is 4

Hope this helps :)

Answer:

4

Step-by-step explanation:

We are given the expression:

4 - 0.25g + 0.5h

We know that g= 10 and h=5. Therefore, we can substitute 10 and 5 into the expression.

4-0.25(10)+0.5(5)

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, multiply 0.25 and 10

4-2.5+0.5(5)

Next, multiply 0.5 and 5

4-2.5+2.5

Next, subtract 2.5 from 4

1.5+2.5

Finally, add 1.5 and 2.5

4

4 - 0.25g + 0.5h when g=10 and h=5 is 4.

Answer: $96,220

Step-by-step explanation:

From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.

His annual gross income will be his annual base salary plus commission annually. This will be:

= $40,000 + (30% × $187,400)

= $40,000 + (0.3 × $187,400)

= $40,000 + $56,220

= $96,220

Answer:

-11

Step-by-step explanation:

f(x)=-2x-5

Let x = 3

f(3) = -2 *3 -5

     = -6 -5

     = -11

Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.

Step-by-step explanation:

Hey there! :)

Answer:

x = -5.

Step-by-step explanation:

Solving for x from the equation:

[tex]\frac{2}{3}x - \frac{1}{2} = \frac{1}{3} +\frac{5}{6}x[/tex]

Begin by creating a common denominator for the terms involving x as well as the constants:

[tex]\frac{4}{6}x - \frac{3}{6} = \frac{2}{6} +\frac{5}{6}x[/tex]

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

[tex]\frac{4}{6}x-\frac{5}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

[tex]-\frac{1}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

Add 3/6 to both sides:

[tex]-\frac{1}{6}x = \frac{5}{6}[/tex]

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

[tex]-\frac{1}{6}x(-6) = \frac{5}{6}(-6)[/tex]

x = -5.

Complete question :

A total of 46 percent of the voters in a certain city classify themselves as Indepen-dents, whereas 30 percent classify themselves as Liberals and 24 percent say thatthey are Conservatives. In a recent local election, 35 percent of the Independents,62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter ischosen at random. Given that this person voted in the local election what is theprobability that he or she is Given that this person voted in the local election, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) a Conservative? (d) What fraction of voters participated in the local election?

Answer:

A) 0.331 ; B) 0.383 ; C) 0.286 ; D) 0.4862

Step-by-step explanation:

Given the following :

P(Independent(I)) = 46/100 = 0.46

P(Liberal(L)) = 30/ 100 = 0.3

P(Conservative(C)) = 24 / 100 = 0.24

Election participation (EP) :

P(EP | I) = 35 / 100 = 0.35

P(EP | L) = 62/100 = 0.62

P(EP | C) = 58/100 = 0.58

P(EP) = P(EP | L)*P(L) + P(EP | I)*P(I) + P(EP | C)*P(C)

P(EP) = (0.62*0.3) + (0.35*0.46) + (0.58*0.24)

P(EP) = 0.186 + 0.161 + 0.1392 = 0.4862

A) probability of Independent given that the person participated in election:

P(I Given EP) = [P(EP | I) * P(I)] / P(EP)

= (0.35 * 0.46) / 0.4862

= 0.161 / 0.4862

= 0.331

B) probability of Liberals given that the person participated in election:

P(L Given EP) = [P(EP | L) * P(L)] / P(EP)

= (0.62 * 0.3) / 0.4862

= 0.186 / 0.4862

= 0.383

C.) P(C Given EP) = [P(EP | C) * P(C)] / P(EP)

= (0.58 * 0.24) / 0.4862

= 0.1392 / 0.4862

= 0.286

Answer:

Hey there!

We have H=30t+350.

350 is the original value, and for every day t, 30 more bales are added.

Hope this helps :)

Answer:

H = 350 + 30t

Step-by-step explanation:

350 bales plus 30 bales per day

350 + 30t

H = 350 + 30t

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

Answer:

Arav is 30 and Pawan is 40

Step-by-step explanation:

We can call Arav's age x and Pawan's age x + 10, therefore we can write the following equation:

1/7((x + 10) - 5) = 1/5(x - 5)

1/7(x + 5) = 1/5(x - 5)

5(x + 5) = 7(x - 5)

5x + 25 = 7x - 35

-2x = -60

x = 30 so x + 10 = 40