4. Solve the equation by factoring. 15 = 8x2 - 14x
X
3
5
or x =
4
2
0.
4
2
X=- orx
5
3
O
5
X=-3 or x =
8
3
x=-5 or x =
8

Find the difference between each number:

-11 to -3 is +8

-3 to 5 is +8

The difference is 8

Use the following formula:

Bn = b1 + d(b -1)

Answer: bn = -11 + 8( b-1)

Answer:

True

Step-by-step explanation:

64 - x^2

Rewriting as

8^2 - x^2

(8-x)(8+x)

This is the difference of squares

Answer:

A

Step-by-step explanation:

I guess that is the answer

Answer:

Cannot be determined

Step-by-step explanation:

We only know one angle and we could only compare one set of sides.

We do not have enough information to determine if the triangles are similar

Answer:

Area= 525

Step-by-step explanation:

14x9=126

3x7=21

14x27=378

126+21+378=525

9514 1404 393

Answer:

  14.3%

Step-by-step explanation:

We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.

The APR is about 14.3%.

_____

The amount to be repaid is calculated using the simple interest formula:

  A = P(1 +rt) = $4900(1 +0.08·4) = $6468

Then the required monthly payment (for 48 months) is ...

  $6468/48 = $134.75

__

The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...

  A = 4900(r/12)/(1 -(1 +r/12)^-48)

In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).

_____

Additional comment

The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.

We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.

Answer:

The answer is "0.7616".

Step-by-step explanation:

Using formula:

[tex]\text{P( at least one de-fective) = 1 - P( all calculators work )}[/tex]

                                          [tex]= 1-(\frac{34}{48}\times \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616[/tex]

Answer:

x = 5

Step-by-step explanation:

Here we have the system of equations:

4x - 5y +7z= -14

9x + 2y +3z= 47

-y + x -5z = 11

We want to find the value of x.

To do it, we need to isolate one variable (not x) in one of the 3 equations. We could isolate y in the third equation to get:

x - 5z - 11  = y

now we can replace this in the other two equations to get:

4x - 5*( x - 5z - 11 ) +7z = -14

9x + 2*(x - 5z - 11 ) + 3z = 47

notice that now we have only two variables, now we need to simplify these two equations so we can get:

-x + 32z  = -69

11x - 7z  = 69

Now we do the same thing, this time we need to isolate z in one of the two equations, let's isolate it in the second one:

7z = 11x - 69

z = (11/7)*x - (69/7)

now we can replace this in the other equation to get:

-x + 32*( (11/7)*x - (69/7) ) = -69

now we have an equation for x, that we can solve to find its value:

-x + 32*(11/7)*x - 32*(69/7) = -69

x*(32*(11/7) - 1) = -69 + 32*(69/7)

x = [-69 + 32*(69/7)]/(32*(11/7) - 1) = 5

The value of x is 5.

Answer:

1. Option D. 15x²

2. Option C. 3

Step-by-step explanation:

1. Determination of the area of one section.

Length (L) of one section = 25x/5 = 5x

Width (W) of one section = 3x

Area (A) of one section =?

The area of one section can be obtained as follow:

Area (A) = Length (L) × Width (W)

A = L × W

A = 5x * 3x

A = 15x²

Thus, the area of one section is 15x²

2. Determination of the expressions that are equivalent to (p²)³.

We'll begin by simplifying (p²)³. This can be obtained as follow:

(p²)³ = p²*³

(p²)³ = p⁶

Next we shall compare each expression given in the question above to see which will be the same as p⁶.

p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹

p × p × p × p × p × p = p⁶

p² × p² × p² = p²⁺²⁺²

p² × p² × p² = p⁶

p² × p³ = p²⁺³

p² × p³ = p⁵

Thus,

p² × p³ ≠ p⁶

p⁵ ≠ p⁶

p⁶ = p⁶

SUMMARY

p × p × p × p × p × p = p⁶ = (p²)³

p² × p² × p² = p⁶ = (p²)³

p⁶ = (p²)³

Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.

100 = 10², so the sum you're considering is the sum of squared integers starting with 10.

[tex]\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_{k=10}^\infty k^2}[/tex]

Answer:

170.7

Step-by-step explanation:

We are aware that the base is a square, with side lengths 8cm, and we are given that the height is 8 cm. Since the volume of a square based pyramid is 1/3 x base area x height, we receive 1.3 x 64 x 8 which is 512/3 which is in turn 170.666 recurring. However, since this question asks you to round the the nearest tenth, you get 170.7

9514 1404 393

Answer:

  (c)  A = 38.13 square inches; P = 23.42 inches

Step-by-step explanation:

The radius of the circle is half the diameter, so is 3 inches. This means the entire figure will fit in a rectangle 6 inches wide and 4+3 = 7 inches high. The perimeter of such a rectangle is ...

  P = 2(L+W) = 2(7+6) = 26 inches

The area of that rectangle is ...

  A = LW = (7)(6) = 42 square inches

Then area of the given figure is less than 42 square inches, and the perimeter is less than 26 inches. The only answer choice that matches these bounds is ...

  A = 38.13 square inches; P = 23.42 inches

Answer:

[tex]P_{95\%}=(0.333,0.527)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=100[/tex]

Selected sample [tex]x=43[/tex]

Confidence Interval [tex]CI=95\%[/tex]

Significance Level [tex]\alpha=0.05[/tex]

Probability of picking nose is

[tex]P=\frac{x}{n}[/tex]

[tex]P=\frac{43}{100}[/tex]

[tex]P=0.43[/tex]

Generally the equation for standard error is mathematically given by

[tex]S.E=\sqrt{p*(1-p)}{n}[/tex]

[tex]S.E=\sqrt{0.4*(1-0.57)}{100}[/tex]

[tex]S.E=0.0495[/tex]

Therefore

The proportions 95\% interval is

[tex]P_{95\%}=[P-1.96x SE(P),P+1.96*SE(P)][/tex]

[tex]P_{95\%}=(0.43-1.96*0.0495,0.43+1.96*0.045)[/tex]

[tex]P_{95\%}=(0.333,0.527)[/tex]

Answer:

B

Step-by-step explanation:

(-2/3x)-10<1/3

(-2/3x)<1/3+10

(-2/3x)<31/3

x>-31/2, -31/2=-15 (1/2), x> - 15 (1/2)

Answer: None of the above.

Step-by-step explanation:

I got it right on khan. I’ll explain a little though. Semifinals median=47.05. Finals median=53.05.  Therefore A is not and option and B is DEFINITLEY not an option. Sorry I’m not good at explaining

Answer:

None of the above

Step-by-step explanation:

Got it right on test

6 + 7* log base 2 of x = 21

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  28.81 m

Step-by-step explanation:

The tangent relation can help find the height of the building above the observer's eye.

  Tan = Opposite/Adjacent

  Opposite = Adjacent·Tan

  above eye height = (47 m)(tan 30°) ≈ 27.14 m

Adding this to the eye height gives the height of the building above the ground where the observer is standing.

  27.14 m + 1.67 m = 28.81 m

The height of the building to the nearest centimeter is 28.81 meters.

Answer:

12/40 or simplified it would be 3/10

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

5 x 3 = 15

15 - 5 = 10

20 + 10 = 30

having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old

Answer:

Option B, 15.6

Step-by-step explanation:

Using the Pythagoras theorem,

√(11²+11²)

= √(121+121)

= √(2×121)

= √121×√2

= 11√2

= 15.6

Answered by GAUTHMATH

Option B - 15.6 is Correct.

We have a figure in which a right angled triangle is shown with it base (b) = 11 and perpendicular(p) = 11.

We have to find the value of c or hypotenuse (h).

According to the Pythagoras theorem : for a right angled triangle -

[tex](h)^{2} = (b)^{2} +(p)^{2}[/tex]

According to the question -

[tex]b =11\\p =11\\h=c[/tex]

Substituting the values, we get -

[tex]c^{2} = (11)^{2} + (11)^{2} \\c^{2} = 121 + 121\\c^{2} =242\\c=15.55[/tex]

Rounding to nearest 10, we get -

c = 15.6

Hence , Option B is correct.

To solve more questions on Pythagoras theorem, visit the following link -

https://brainly.com/question/8587612

#SPJ2

Answer:

good luck

.............

Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

210=2x3x5x7

280=2x2x2x5x7

360=2x2x2x3x3x5

Answer:

210= 2×3×5×7

280=2×2×2×5×7

360=2×2×2×3×3×5

common factors=2×2×2×3×5×7=840

uncommon factors=3

L.C.M=Common factors× uncommon factors

L.C.M=840×3

L.C.M=2520

Step-by-step explanation:

i hope it will be helpful

plzz mark as brainliest

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

An object travels along the x-axis so that its position after t seconds is given by:

x(t) = 2t² – 5t – 18

x'(t) = 4t - 5

x'(t) = 0

4t -5 = 0

t = 5/4 = 1.25 seconds

x''(t) = 4

x''(1.25) = 4

x''(1.25) > 0

At t = 1.25 the object travels at a low point.

Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

Step-by-step explanation:

the 3 in 135,864 is 30,000

if you mutiply that by 10 you get 300,000

you just need to write any number with a 3 in the hundred thousands place

Answer:

Step-by-step explanation:

For each game played the chance of winning is 0.05 and losing is 0.95.

If the student wins, they get $5 -$1 = $4, but they lose $1.

Expected value is:

It means you will make $0.75 per average game.

Answer:

21.8

Step-by-step explanation:

Step 1

This is a problem on finding the mean of continuous grouped data. We first find the midpoint of each interval. For example, the first interval or class is 0 - 10. The mid-point of this class will be (0 + 10)/2 = 5.

fullscreen

Step 2

We now calculate the product of mid-point and frequency for each class. Here, the number of athletes in each class is the frequency of that class. For example, for the first class 0 – 10, its frequency is 3.

fullscreen

Step 3

We can now use the formula to calculate mean. Note that t...

Answer:

Step-by-step explanation:

It asks for the common set of A and B.

There only one element common to both the given sets:

Answer:

Step-by-step explanation:

∩ == this symbol stands for the common element/set

So according to this question you have to find the element which is common for both A and B sets.

So now you can see that only number 2 is common for both.

So, the answer is,

Answer:

(approximately) 254.34 meters

Step-by-step explanation:

Concepts:

Solving:

Let's use the formula for area of a circle to solve.

1. Formula for Area of a Circle

2. Exchange π for 3.14

3. Plug in the value of r (radius of circle) as 9

4. Simplify

Therefore, the area of a circle when the radius is 9 meters is approximately 254.34 meters.

Answer:

18

Step-by-step explanation:

x squared -6 +13

5 squared-6×3+2+13

25-20+13

5+13

=18