Which of the following binomials is a factor of 2x² + 7x − 9?
O 2x+9
O 2x-3
O x+1
O x - 3

Answer:

c 57

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

Assuming you draw one after the other without replacement, you have a 1/2 chance of drawing blue the first time, and after one is taken out, you have 7 left. In order to draw 2 blues you would have to have a blue the first time, so there would be 3 blue left. Multiplying the 2 probabilities gets 1/2*3/7= 3/14. Double check that though.

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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Answer:

2x

Step-by-step explanation:

Think about it. Adding 8 would make the equation: 3x+8=3x+8. That has infinite solutions.  if you made it 7, it would be 3x+8=3x+7, which is impossible.  

Therefore, it must be 2x, which would make the equation 3x+8=5x.

Let's check: 3x+8=5x

                     8=2x

                     4=x

All good.

The value of is 2/11

To determine the value, we have;

Index forms are mathematical forms used to represent numbers or values that are too large or too small in more convenient forms.

From the information given, we have the expression written as;

2⁹ˣ+2 = 16⁵ˣ -2

Put all the terms in one base form, we have;

2⁹ˣ + 2¹ = 2²⁰ˣ - 2¹

equate the exponents, we have;

9x + 1 = 20x - 1

collect the like terms, we have;

9x - 20x = -2

-11x = -2

Make 'x' the subject of formula, we have;

x = 2/11

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Answer:

Step-by-step explanation:

Using confidence interval concepts, it is found that:

a)

The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).

The interpretation is:

iii. We are 99% confident that this interval contains the true population mean.

b)

A sample size of 664 would be required.

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm M\)

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

The interpretation of a x% confidence interval between a and b is that we are x% confidence that the true population mean lies in this interval, thus, option iii is correct.

In this problem:

Then:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 2.575\sqrt{\frac{0.27(0.73)}{2005}}\)

\(M = 0.026\)

The interval is:

\(M - \pi = 0.27 - 0.026 = 0.244\)

\(M + \pi = 0.27 + 0.026 = 0.296\)

The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).

Item b:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 2.575(0.5)\)

Dividing both sides by 0.05.

\(\sqrt{n} = 2.575(10)\)

\((\sqrt{n})^2 = [2.575(10)]^2\)

\(n = 663.1\)

Rounding up:

A sample size of 664 would be required.

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Answer:

60x-45y=-1

A = 60

B = -45

C =-1

Step-by-step explanation:

\(9y=12x+0.2\\Re-write\:0.2\:as\:1/5-12x =-9y+\frac{1}{5} \\\\Multiply\:all \:terms \:by\:-1\\-1(-12x=-9y+1/5)\\\\12x =9y-\frac{1}{5} \\\\Multiply\: through\: by \:5\\5(12x =9y - \frac{1}{5} )\\\\60x = 45y -1\\\\60x-45y =-1\)

The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

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The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

entonces no habria oxigeno

Step-by-step explanation:

Answer:

- 2x + 24

Step-by-step explanation:

- 3(2x - 8) + 4x ← distribute parenthesis by - 3

= - 6x + 24 + 4x ← collect like terms

= - 2x + 24 or 24 - 2x

Hey there!

-3(2x - 8) + 4x

DISTRIBUTE -3 within the parentheses

= -3(2x) - 3(-8) + 4x

= -6x + 24 + 4x

COMBINE the LIKE TERMS

= (-6x + 4x) + (24)

= -6x + 4x + 24

= -2x + 24

Therefore, your answer should be:

-2x + 24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

C

Step-by-step explanation:

\(\cos E=\frac{11}{18} \\ \\ E=\cos^{-1} \left(\frac{11}{18} \right) \\ \\ E \approx 52.33^{\circ}\)

F or G = { 5,6,7,8,9,10,11,12 } is probability  P(F or G) using the general addition rule.

What are examples and probability?

The likelihood that something will happen is called the probability. the total number of conceivable outcomes.

                                   For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is what we write.  the forerunners of the contemporary mathematical theory of probability (for example the "problem of points").

S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},

event F={5, 6, 7, 8, 9}​, and

event G={9, 10, 11, 12}.

F or G = { 5,6,7,8,9,10,11,12 }

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The dimensions of the rectangle of maximum area with sides parallel to the coordinate axes are x = \(\sqrt{27/998}\) and y = y = 36 * \(\sqrt{27/998}\)

Given :

The ellipse equation is 108x^2 + 3y^2 = 108

dA / dx = 4x * dy/dx + 4y

216x + 6y * dy/dx = 0

dy/dx = -216x / 6y

dA/dx = 4x * -216x / 6y + 4y

-864x + 24y = 0

24y = 864x

divide by 24 on both sides

y = 36x

108x^2 + 3 * ( 36x )^2 = 108

3996x^2 = 108

x = \(\sqrt{27/998}\)

y = 36 * \(\sqrt{27/998}\)

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Answer:

Step-by-step explanation:

Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left

Step-by-step explanation:

Answer:

4361; see explanation and picture below.

Step-by-step explanation:

All your answers in red on the table to the right are correct, but they need to be placed in the boxes correctly.

You need to write one digit per box.

The table should look like this:

1 2 ▒

▒ 7 5

▒ 9 ▒

▒ 1 9

1  0 4

6 4 ▒

The numbers in the bold column are 2, 7, 9, 1, 0, 4.

They form the number 279,104.

The code is the quotient of that number and 64, so you divide that number by 64.

279,104/64 = 4361

Answer: 4361

See the picture below:

Applying the knowledge of similar triangles, the crack code is: 4,361.

If two triangles are similar, therefore, their corresponding sides are proportional, which means the ratios of their corresponding sides are the same.

a. ΔDEF is similar to ΔVRT, therefore:

15/37.5 = DE/30

Cross multiply

DE = (30 × 15)/37.5

DE = 12

b. ΔPAK is similar to ΔWNK, therefore:

62.5/45 = PK/54

Cross multiply

PK = (54 × 62.5)/45

PK = 75

c. ΔSFC is similar to ΔAFY, therefore:

36/(x + 6) = (22.4 + 16)/16

36/(x + 6) = 38.4/16

Cross multiply

(36)(16) = 38.4(x + 6)

576 = 38.4x + 230.4

576 - 230.4 = 38.4x

345.6 = 38.4x

345.6/38.4 = x

x = 9

d. ΔBNV is similar to ΔHZG, therefore:

20/(x - 1) = 30/(x + 8)

Cross multiply

20(x + 8) = 30(x - 1)

20x + 160 = 30x - 30

20x - 30x = -160 - 30

-10x = -190

x = 19

e. ΔEFC is similar to ΔKLM, therefore:

(x - 5)/(5x - 1) = 12/78

Cross multiply

78(x - 5) = 12(5x - 1)

78x - 390 = 60x - 12

78x - 60x = 390 - 12

18x = 378

x = 21

FE = 5x - 1 = 5(21) - 1

FE = 104

f. ΔMRT is similar to ΔARS, therefore:

(3x + 1)/80 = (3x - 7)/70

Cross multiply

70(3x + 1) = 80(3x - 7)

210x + 70 = 240x - 560

210x - 240x = -70 - 560

-30x = -630

x = -630/-30

x = 21

MT = 3x + 1 = 3(21) + 1

MT = 64

Numbers along the bolded column = 2, 7, 9, 1, 0, 4 = 279,104

The quotient of 279,104 and 64 = 279,104/64 = 4,361.

Thus, applying the knowledge of similar triangles, the crack code is: 4,361.

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Let the length and breadth of the rectangle be x and y.

Area of rectangle is A = xy

Therefore, the new length will be = x-5

Therefore, the new breadth will be = y + 3

So new area will be xy-9

Now the new relation will be (x+3)(y+2)=xy+67

.

Cross – multiplication method–

\(

\dfrac{x}{{{b_1}{c_2} - {b_2}{c_1}}} =

\dfrac{y}{{{a_2}{c_1} - {c_2}{a_1}}} = \dfrac{1}{{{a_1}{b_2} - {a_2}{b_1}}} || x = \dfrac{{{b_1}{c_2} - {b_2}{c_1}}}{{{a_1} {b_2} - {a_2}{b_1}}} y = \dfrac{{{a_2}{c_1} - (c_2}{a_1}}}{{{a_1}{b_2}-{a_2}{b_1}}}\\\)

\(\Rightarrow \dfrac{x}{{305 - ( - 18)}} =\dfrac{y}{{ - 12 - ( - 183)}} = \dfrac{1}{{9 - 10)}}\\\\)

\(\Rightarrow \dfrac{x}{{323}} = \dfrac{y}{{171}} = \dfrac{1}{{19}} \\\Rightarrow x = 17, y = 9 \\\)

Therefore, the length is 17 and breadth is 9.

Answer:

1.) yes

2.) yes

3.) yes

4.) No

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

472 :)

Step-by-step explanation:

47.2/0.1 = 472

Have an amazing day!

Please rate and mark brainliest!!

Answer:

37356

Step-by-step explanation:

Answer:

A.

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

The volume of the sphere with a radius of 5 feet to the nearest cubic foot is 166.67π feet³.

Given a sphere.

Radius of the sphere = 5 feet

The formula to find the volume of the sphere is,

Volume of the sphere = 4/3 πr³,

where r is the radius of the sphere.

Substituting the given radius,

Volume of the sphere = 4/3 × π × (5)³

                                     = 4/3 × π × 125

                                     = 166.67π

Hence the volume of the sphere is 166.67π feet³.

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Answer:

46

Step-by-step explanation:

the common one is 2

Answer:

2/3 plus 3/4 is 17/12.

Step-by-step explanation:

this is because the common denominator is 12, and once you add it all you get 17/12 :))

Answer:

Um theres no atachment...

Step-by-step explanation:

The probability values are P(A) = 0.722 and P(B) = 0.50

From the question, we have the following parameters that can be used in our computation:

A fair die

The sample space of the events are

A = Sum is greater than 5

B = Sum is an even number

From the sample space of the sum of outcomes, we have

n(A) = 26

n(B) = 18

So, we have

P(A) = 26/36 = 0.722

n(B) = 18/36 = 0.50

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