The main cable of a suspension bridge forms a parabola described by the equation y = a(x - 50)2 + 6. What is the value of a?

Answer:

120

Step-by-step explanation:

First, you notice that both the angles add up to 180 degrees because it is a straight line.  Therefore, 2x+x+90=180.  Now you have an equation to solve!  Subtract 90 from both sides and combine like terms.  3x=90.  Therefore, x=30.  Now you plug x back in to find out m<DBC.  DBC=x+90 which is 30+90= 120.  

Answer: 44 minutes

Step-by-step explanation:

Calls = 21 cents per minute

Remaining credit after long distance call= $10.76

Total credit used  =$20- $10.76

                             = $9.24

Minutes her call lasted = $ 9.24

                                         $0.21

                                     = 44 minutes.

Answer:

Step-by-step explanation:

A rectangle can is made up of two right angled triangle as shown.

Since area of a rectangle = [tex]base * height[/tex]

Area of one of the triangle = [tex]\frac{1}{2}\ * \ area\ of\ the\ rectangle[/tex]

The length and width of the triangle will be the same as that of the rectangle i.e  5units long and 2units wide

Area of one of the triangle = [tex]\frac{1}{2} * 5 * 2[/tex]

Area of one of the triangle = 5units²

The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

Answer:

B. 46

Step-by-step explanation:

10% is equal to 1/10, so we have x/10 = 20. We multiply by 10 on both sides, leaving us with x = 200. 23% of 200 is equal to 46.

Answer: 3 years

Step-by-step explanation:

Interest = 1740 - 1200 = 540

SI = prt / 100

540 = 1200 x 0.15 x t

540 = 180t

t = 540 / 180 = 3

Find the interest amount.

[tex]I=1740-1200=540[/tex]

Use the formula for simple interest.

[tex]I=prt/100[/tex]

Solve for t.

[tex]540=1200 \times 15\% \times t[/tex]

[tex]540=1200 \times \frac{15}{100} \times t[/tex]

[tex]540=180t[/tex]

[tex]t=\frac{540}{180}[/tex]

[tex]t=3[/tex]

Answer:

Step-by-step explanation:

12+12=24

2+2=4

8+8=16

add them up

44

Answer:

44

Step-by-step explanation:

12*2=24

2*2=4

8*2=16

24+4+16=44

Answer:

9

Step-by-step explanation:

Answer:

4x^2 + x + 3

Step-by-step explanation:

Here, we want to find the sum of the two polynomials

That would be ;

3x^2 + x-7 and x^2 + 10

Adding means we are taking like terms together

That would be

3x^2 + x ^2 + x -7 + 10

= 4x^2 + x + 3

Answer:

It's D

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

Answer:

c.) 28

Step-by-step explanation:

I hope this helped. I know it probably doesn't. But I hope you get the question right. And I am sorry if you get it wrong.

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

[tex]186.5\div 28.5[/tex] = 6.54

And,

[tex]187.5\div 27.5[/tex] = 8.81

So, The value of c for the David journey is 7.

Learn more about distance here: https://brainly.com/question/23561100

Answer:

The answer is 114.1.

Step-by-step explanation:

You have to substitute the s and t value into the expression :

[tex]9.1s + 8.5t[/tex]

[tex]let \: s = 6[/tex]

[tex]let \: t = 7[/tex]

[tex]9.1(6) + 8.5(7)[/tex]

[tex] = 54.6 + 59.5[/tex]

[tex] = 114.1[/tex]

Answer:

120°

Step-by-step explanation:

The area of a sector of a circle is given by:

[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of sector in degrees

r = radius of circle.

The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:

[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]

The central angle of the sector is 120°

Answer:

0.7673

Step-by-step explanation:

We have the following:

The null and alternative hypothesis is,

H0: m = 290

Ha: m> 290

x = 285.2

m = 290

sd = 59.3

n = 82

is m the mean, sd the standard deviation and n the population size

Now we calculate the value of z like this:

z = (x - m) / sd / (n ^ (1/2))

z = (285.2 - 290) / 59.3 / (82 ^ (1/2))

z = -0.73

now

P (z> -0.73) = 1 - P (z <-0.73)

we look at the normal distribution table

P = 1 - 0.2327 = 0.7673

Therefore the value of p is equal to 0.7673

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Answer:

therefore the population of the culture is 2313

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

Step-by-step explanation:

To help solve this question we will put it into a ratio:

MILES:KM

5        :8              This ratio shows that 5 miles equals 8km.

47.5         :76       We can put 76 on the km side because we are told that in                                    

                            in the question. Lets find out how many times 8 was

                            multiplied to equal 76. 76 divided by 8=9.5 Because 8 was

                            multiplied by 9.5 we shall multiply 5km by 9.5  5x9.5=47.5

Therefore 76km is equal to 47.5miles.

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer:

Its A and B uwu

Answer:

i got A

Step-by-step explanation:

trust me and u welcome

Answer:

11 am

Step-by-step explanation:

Steps:

Shape: Regular octagon

Solved for area

Side length= 12cm

A=2(1+√2)a2

Description:

Using the formula A=2(1+√2)a2 for area and  Regular octagon, we calculate the side length that is 12 cm. After you calculate your answer will equal as A≈695.29cm². Since it says to round to the tenth, your answer will equal as 695.3 after rounding.

Answer: A≈695.29cm²

Round to the nearest tenth =  695.3

Please mark brainliest

Hope this helps.

Answer: Dot product of the 2 vectors = 0. Therefore cos x = 0 where j is the angle between the 2 vectors. S0 j = 90°... I believe.

Answer:

The dealer's profit percentage is 7.692%

Step-by-step explanation:

18 × 65 = 1170

He spent Rs.1170

12 × 75 = 900

60 × (18-12) = 360

900 + 360 = 1260

He got a profit of Rs.90.

1170 × (1 + x/100) = 1260

1 + x/100 = 14/13

x/100 = 1/13

x= 7.692307692

Answer:

7.7%

Step-by-step explanation:

spent= Rs. 65*18= Rs. 1170

earned= 12*Rs. 75+6*Rs. 60= Rs. 1260

profit= Rs. 1260- Rs. 1170= Rs. 90

profit %= 90/1170*100%= 7.7%

Answer:

[tex]\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]

Step-by-step explanation:

[tex]27a^6+8g^{12}[/tex]

[tex]\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3[/tex]

[tex]\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]

[tex]\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)[/tex]

[tex]=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)[/tex]

[tex]=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]

Answer:

b

Step-by-step explanation:

correct on edge 2021

the other one isnt even an option

Answer:

0.52

Step-by-step explanation:

0.52 is a decimal and 52/100 or 52% is the percentage for 13/25.

hope this is helpful:)

Answer:

  see below

Step-by-step explanation:

A picture can explain a lot. The coordinates are shown in the attachment.

Positive angles are measured counterclockwise (CCW). Negative angles are measured clockwise. So, -3π/4 is the same as +5π/4, since a circle is 2π = 8π/4.

___

It can be useful to memorize this chart, or keep one like it for handy reference.

Answer:

E= 52 degrees and F=21 degrees

(sorry)

Step-by-step explanation:

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!