3(3m - 2) -3 =36 step by step​

Answer:

[tex]\sin\theta=\dfrac{15}{17}[/tex]

[tex]?=15[/tex]

Step-by-step explanation:

Use the trigonometry formula

[tex]\cos^2\theta+\sin^2\theta=1[/tex]

You are given that

[tex]\cos \theta=\dfrac{8}{17}[/tex]

Substitute into the first formula

[tex]\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}[/tex]

Angle [tex]\theta[/tex] is acute angle, then the sine of this angle is positive and

[tex]\sin\theta=\dfrac{15}{17}[/tex]

Answer:

Step-by-step explanation:

Because they are like terms, you can just subtract them.

9 - 2 = 7

So:

9x - 2x = 7x

Let me know if you have any questions about this.

Answer:

9x-2x=7x that means 9-2=7

Answer:

d

Step-by-step explanation:

the expression cant be factored because there is no number that multiplies to get 16 but adds up to 9. ex; 8*2 is 16 but add to 10, 16 and 1 equals 17, and 4*4 is 16 but adds up to 8.

Answer:

your answer is d

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given

27x + 14 = 3(9x - 7) ← distribute right side

27x + 14 = 27x - 21 ( subtract 27x from both sides )

0 + 14 = - 21 ( subtract 14 from both sides )

0 = - 35 ← not possible

Thus the equation has no solution

Answer and Step-by-step explanation :

There is no answer for this question.

Step 1: Simplify both sides of the equation :

[tex]27x+14=(3)(9x)+(3)(-7)[/tex]  [tex]Distribute[/tex]

[tex]27x+14=27x+-21[/tex]

[tex]27x+14=27x-21[/tex]

Step 2 : Subtract [tex]27x[/tex] from both the side :

[tex]27x+14-27x=27x-21-27x[/tex]

[tex]14=-21[/tex]

Step 3 : Subtract [tex]14[/tex] from both the sides :

[tex]14-14=-21-14[/tex]

[tex]0=-35[/tex]

Hence there is no solution to this answer.

Answer:

C=10π

Step-by-step explanation:

Circumference formula: C=πd (or C=2πr)

Answer:

The answer is 5r^2s^3t^4 (the last answer) because it is the only monomial in the bunch.

Step-by-step explanation:

Answer:

i think ur right or letter b butu not c

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

an equation of the circle Center at the A(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²

in this exercice r² =15²

so the length of the radius is: r = 15

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 5)² = 15² ← is in standard form

with centre (6, - 5 ) and radius = 15

The left and right sides would be the same length.

Set the two sides equal and solve for y:

10 = 2y +4

Subtract 4 from both sides:

6 = 2y

Divide both sides by 2:

y = 6/2

y = 3

Answer:

A

Step-by-step explanation:

Answer:

A.

[tex]\dfrac{6}{55}[/tex]

B.

[tex]\dfrac{6}{55}[/tex]

C.

[tex]\dfrac{4}{165}[/tex]

Step-by-step explanation:

Dustin has a bag of marbles with 4 blue marbles, 4 white marbles, and 3 red marbles. There are 11 marbles in total.

A. The probability that the first marble drawn is blue marble is

[tex]\dfrac{4}{11},[/tex]

the probability that the second marble drawn is red marble is

[tex]\dfrac{3}{10}[/tex]

The probability that the first marble drawn is blue and the second is red is

[tex]\dfrac{4}{11}\cdot \dfrac{3}{10}=\dfrac{12}{110}=\dfrac{6}{55}[/tex]

B. The probability that the first marble drawn is red marble is

[tex]\dfrac{3}{11},[/tex]

the probability that the second marble drawn is white marble is

[tex]\dfrac{4}{10}[/tex]

The probability that the first marble drawn is red and the second is white is

[tex]\dfrac{3}{11}\cdot \dfrac{4}{10}=\dfrac{12}{110}=\dfrac{6}{55}[/tex]

C. The probability that the first marble drawn is blue marble is

[tex]\dfrac{4}{11},[/tex]

the probability that the second marble drawn is blue marble is

[tex]\dfrac{3}{10},[/tex]

the probability that the third marble drawn is blue marble is

[tex]\dfrac{2}{9},[/tex]

The probability that the first, second and third marbles drawn are blue is

[tex]\dfrac{4}{11}\cdot \dfrac{3}{10}\cdot \dfrac{2}{9}=\dfrac{24}{990}=\dfrac{4}{165}[/tex]

The ratio of cranberry juice to apple juice to orange juice, when the drink consists of 1/3 apple juice and 1/2 orange juice, is 1:2:3.

The student asked for the ratio of cranberry juice to apple juice to orange juice in its simplest form, knowing that 1/3 of the drink is apple juice and 1/2 is orange juice. To find the fraction of the drink that is cranberry juice, we subtract the other two parts from the whole (which is 1):

1 - (1/3 + 1/2) = 1 - (2/6 + 3/6) = 1 - 5/6 = 1/6

So the ratio of cranberry juice to apple juice to orange juice can be written as:

Cranberry : Apple : Orange = 1/6 : 1/3 : 1/2

To compare ratios, we need to have the same denominator. Multiplying each part of the ratio by 6 (the least common multiple of 6, 3, and 2) gives us:

Cranberry : Apple : Orange = 1 : 2 : 3

Therefore, the ratio of cranberry juice to apple juice to orange juice in its simplest form is 1:2:3.

Answer:

<1

Step-by-step explanation:

I think its <1 as well

Answer:

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Step-by-step explanation:

we know that

When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.

so

The rule of the reflection of a point across the line y=x is

(x,y) -----> (y,x)

we have

Points p(1,2) and q(4,3)

Applying the rule of the reflection across the line y=x

p(1,2) ------> p'(2,1)

q(4,3) -----> q'(3,4)

therefore

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Answer:

w = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-8 - 3(w + 13) = 4(w + 11) - 7w

Step 2: Solve for w

Here we see that -47 does not equal 44.

∴ w = no solutions.

There is no solution to the equation -8-3(w+13)=4(w+11)-7w, as it simplifies to an untrue statement.

Here is the step-by-step solution:

Distribute the constants through the parentheses:

-8 - 3w - 39 = 4w + 44 - 7w

Combine like terms:

-47 - 3w = -3w + 44

Since -3w on both sides cancels out, we are left with just the constants:

-47 ≠ 44

There is no value for w that will make this equation true, hence there is no solution.

Answer:

I am going to say C.

Step-by-step explanation:

I think this because when you look at option C. there are a lot of ways she can put the trophy case. I hope this helps, I am sorry if it is wrong.

Answer:

About 16 centimeters

Step-by-step explanation:

In order to convert inches to centimeters, you must multiply the inches by 2.54. Then, round your answer, and you will get 16.

1) 6.14 * 2.54 = 15.5956

2) = 16

The length of a dollar bill is approximately 16 centimeters when converted from inches and rounded to the nearest whole number.

To convert the length of a dollar bill from inches to centimeters, we use the conversion factor 1 inch = 2.54 cm. The length of the dollar bill is 6.14 inches. To find the length in centimeters, we multiply 6.14 inches by the conversion factor.

Step 1: Set up the conversion equation:
Length in cm = Length in inches x Conversion factor

Step 2: Substitute the given length and conversion factor:
Length in cm = 6.14 inches x 2.54 cm/inch

Step 3: Carry out the multiplication:
Length in cm = 15.5956 cm

So, the approximate length of a dollar bill to the nearest centimeter is about 16 cm, when rounded to the nearest whole number.

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all of them except the last one is correct, the last one is C). -8, 5, 6, |-7|, 8, because it says least to greatest, the one you picked wasn't even put in greatest to least, but I think where you went wrong is the absolute value of -7, the absolute value of a number is shown with | ? |.

I hope you understand your mistake and won't make it again :)

Right for the most part but, 5 is C. –8, 5, 6, |–7|, 8

Good job overall tho :)

Answer:

m∠R

Step-by-step explanation:

Q is the inscribed angle formed by the interception of segments TQ and SQ

R is the inscribed angle formed by the interception of segments TR and SR

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle; then, both angles Q and R are half of the central angle and equal between them. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

The phrase 'decreased by 4' refers to a mathematical operation where you take an integer and subtract 4. Without a specified starting point, it could represent various integers depending upon the starting integer.

The phrase 'decreased by 4' in the context of mathematics usually requires a starting point or reference integer. Suppose the starting point was 0, 'decreased by 4' would result in -4. However, if the starting integer isn't mentioned, it could be indicating a function where you take an input integer and subtract 4. Therefore, the phrase 'decreased by 4' could represent an operation applied to integers, resulting in an integer that is four less than the original.

Learn more about Mathematical Phrases here:

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Answer:

2x-9

Step-by-step explanation:

(18x-81)/9 = 18x/9-81/9 which equals 2x-9 wOah brO sO hArD

Answer:

California has the largest population out of the three.

Step-by-step explanation:

We would first start by showing the proportions.

California: 3/25

New York: 3/50

Texas: 2/25

You would have to find the least common denominator (in this case, 50) to accurately compare it.

So, if we wanted to convert California's ratio to one with a denominator of 50, we would multiply both sides by 2.

(3*2)/(25*2)

= 6/50.

Now, we can do the same with Texas' population.

(2*2)/(25*2)

= 4/50

Seeing that 3/50 < 4/50 < 6/50, the population of New York would be less than the population of Texas, which is in turn less than the population of California.

Therefore, California has the largest population.

Answer:

± 13

Step-by-step explanation:

[tex]\sqrt{169}[/tex] = ± 13, since

13 × 13 = 169 and - 13 × - 13 = 169

Answer:

330

Step-by-step explanation:

I think you mean aisle and shelves, right? ;-) Anyway, if you multiply 15 by 22, you get 330.

Answer:

3 and 4

Step-by-step explanation:

Consider squares on either side of 15, that is 9 and 16, so

[tex]\sqrt{9}[/tex] < [tex]\sqrt{15}[/tex] < [tex]\sqrt{16}[/tex], that is

3 < [tex]\sqrt{15}[/tex] < 4

Answer:

[tex]3<\sqrt{15}<4[/tex]

Step-by-step explanation:

We are asked to find the integers such that square root of 15 lies between them.

We know that perfect square less than 15 is 9 and perfect square greater than 15 is 16.

We can represent this information in an inequality as:

[tex]\sqrt{9}<\sqrt{15}<\sqrt{16}[/tex]

[tex]\sqrt{3^2}<\sqrt{15}<\sqrt{4^2}[/tex]

[tex]3<\sqrt{15}<4[/tex]

Therefore, the square root of 15 lies 3 and 4.

I'm not good with intigers, but if you added two negative intigers together wouldn't it still be negative? If you added -1 to -2 you'd get -3. It would always be less than the two original integers.

Answer:

Step-by-step explanation:

16 miles in it

Answer: Should be 16 miles.

I'm not a genius but I know partial of math in my grade. Hope this helped.

Answer:

The answer is 2.

2 + 6 = 8, 16/8 = 2.

Answer:

24,12,6

Step-by-step explanation:

48 is even, so you can factor out 2, your first prime factor

Final answer:

The prime factors of 48 are 2 to the power of 4 and 3. You divide 48 by 2 repeatedly until only prime numbers are left, which are 2´ and 3.

Explanation:

Finding Prime Factors

The prime factors of a number are the prime numbers that multiply together to equal the original number. To find the prime factors of 48, you start by finding the smallest prime number that divides 48. In this case, it would be 2. So, you divide 48 by 2 to get 24. You then repeat this process until you are only left with prime numbers.

Here's a step-by-step breakdown:

48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

Now, you're left with 2, 2, 2, 2, and 3, all of which are prime numbers. So the prime factors of 48 are 2´ (2 raised to the power of 4) and 3.

To find 1 more than the product of a number and -8, we can represent the number as 'x' and calculate the expression -8x + 1.

The subject of this question is Mathematics. The question asks to find 1 more than the product of a number and -8.

To solve this, we can let the number be represented by 'x'. Then the product of the number and -8 is given by the expression -8x. Adding 1 to this expression gives the answer to the question, which is -8x + 1.

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[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2977\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &13 \end{cases} \\\\\\ A=2977\left(1+\frac{0.06}{4}\right)^{4\cdot 13}\implies A=2977(1.015)^{52}\implies A\approx 6456.74[/tex]

To calculate the account balance after 13 years, we can use the formula for compound interest. Plugging in the given values, the account balance will be approximately $5,646.98.

To calculate the account balance after 13 years, we can use the formula for compound interest: A = P(1+(r/n))^(nt), where A is the final account balance, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $2,977, r = 6% or 0.06, n = 4 (quarterly compounding), and t = 13 years. Plugging these values into the formula, we get:

A = $2,977(1+(0.06/4))^(4*13)

Simplifying further, we have:

A = $2,977(1.015)^52

Using a calculator, we find that A ≈ $5,646.98. Therefore, the account balance will be approximately $5,646.98 after 13 years.

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