What is the √84 in radian form?

Answer:

C. 14xy - 6y²

Step-by-step explanation:

The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".

Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:

2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²

The answer is C.

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

The solutions for the given equation are the values:  -6 and 6.

The exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:

[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex].  See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .

Therefore, in this question for finding the value of q, you should apply the square root in both sides.

                                               [tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]

You can check this result applying the power 2. See:

(-6)²=(-6)*(-6)=36

(6)²= (6)*(6)=36

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Answer:

3y(y−5)

Step-by-step explanation:

I factored the expression

mark me brainliest please

Answer:

k>3.

Step-by-step explanation:

Hello there!

Just graph this on a number line, and you will see that any number above 3 can be equal to k.

:)

Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

============================================================

Explanation:

Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s

Do the same for the right hand sides of the two equations 23+17 = 40

After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40

Next, divide both sides by 5 to lead to r+s = 8

Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24

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

An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...

4(2s+17)+7s = 23

8s+68+7s = 23

15s+68 = 23

15s = 23-68

15s = -45

s = -45/15

s = -3

Which means,

r = 2s+17

r = 2(-3)+17

r = 11

and therefore,

3r+3s = 3(-3)+3(11) = -9+33 = 24

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

Answer:

its true

Step-by-step explanation:

3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Answer:

D. 325 cubic units

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.

Solving for the cube:

5*5*5=

25*5=

125 units³

Solving for the rectangular prism:

5*5*8=

25*8=

200 units³

Now to find the total volume of the figure, we need to add those 2 volumes together:

200+125=325 units³

Our answer is D. 325 cubic units.

Answer:

1/4

Step-by-step explanation:

Answer:

This is what I got 0.375

Step-by-step explanation:

But this is in decimal form. Sry

Answer:

no solution

Step-by-step explanation:

x + y = 7

x + y = 6

Multiply the second equation by -1

x + y = 7

-x - y = -6

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

0x +0y = 1

0 =1

This is never true so there is no solution

Answer:

The percentage of error in the question is 75%.

Step-by-step explanation:

To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.

He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.

So the percentage of error in the question is 75%.

I hope this answer helps.

Answer:

  x = 149

Step-by-step explanation:

The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.

Corresponding angles in this geometry have identical measures:

  x° = 149°

  x = 149

We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.

We will use law of sines to solve for side j.

[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.

We need to find measure of angle K to apply law of sine to our given problem.

Using angle sum property, we will get:

[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]

[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]

[tex]\angle K=131^{\circ}[/tex]

[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]

[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]

[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]

[tex]j=12.77864423889[/tex]

Upon rounding to nearest tenth, we will get:

[tex]j\approx 12.8[/tex]

Therefore, the length of j is approximately 12.8 cm.

Answer:

12.8

Step-by-step explanation:

delta math

Answer: +16

Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.

Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.

Answer:

You would do 18/2 first.

Step-by-step explanation:

In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.

Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{18}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].

Number of white socks [tex]=6[/tex]

Number of black socks [tex]=4[/tex]

Number of brown socks [tex]=2[/tex]

A brown sock is picked and replaced  then a black sock is picked.

Probability that a brown sock is picked and replaced  then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]

           [tex]=\frac{1}{3}\times \frac{1}{6}[/tex]

           [tex]=\boldsymbol{\frac{1}{18}}[/tex]

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Answer:

Yes it is.

Step-by-step explanation:

I did some research, plus we learned about this in Geometry

Plz click the Thanks button!

<Jayla>

Answer:

the correct answer is b.) though painful, the contractions help women give birth

Step-by-step explanation:

The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.

The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.

Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.

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Answer:

∠TSR= 48°

∠RTS = 107°  

∠TRS = 25°

Step-by-step explanation:

As we know in any triangles,

We can apply The Law of Cosines , which is:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]  − 2ab cos(C)

In this situation we have:

Apply The Law of Cosines to find the angle of TRS

<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]

<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14

<=> cos(TRS ) = 0.91

<=> ∠TRS  = 25°

Apply The Law of Cosines to find the angle of RTS

<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]

<=> cos(RTS) =  ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6

<=> cos(RTS) = -0.29

<=> ∠RTS = = 107°  

So we can find the measure of angle TSR

∠TSR= 180° - 107°  - 25°

∠TSR= 48°

Using cosine law or sin law the angles of the triangle is as follows:

∠T = 107.2°

∠S = 48.6°

∠R = 24.2°

Using cosine rule,

Therefore,

14² = 6² + 11²- 2 × 6 × 11 cos T

196 - 36 - 121 = -132 cos T

cost T = 39 / - 132

T = cos⁻¹ -0.29545454545

T = 107.184793175

T = 107.2°

Therefore, let's find angle S using sine law

s / sin S = t / sin T

11  / sin S = 14 / sin 107.2

11 sin 107.2 = 14 sin S

sin S = 10.5080619833 / 14

S = sin ⁻¹ 0.75057585595

S = 48.6397771973

S = 48.6°

R = 18 0 - 48.6 - 107.2 = 24.2

R = 24.2°

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1)

[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]

2)

[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]

This equation has an infinite number of solutions

The solution is infinite.

-Dhruva;)

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the  average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]|x-75|\leq 8.6[/tex]

Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].

Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:

[tex]-8.6\leq x-75\leq 8.6[/tex]

[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]

[tex]66.4\leq x\leq 83.6[/tex]

Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].

Answer: cos30

Step-by-step explanation:

Cos(angle) = adjacent leg/hypotenuse

Cos(x) = 4/21

X = arccos4/21

X = 79.0194 degrees

Round the answer as needed.

Answer:

[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]

Step-by-step explanation:

0.00065 - 0.000019 = 0.000631

Move back 4 decimal places.

5300000000 + 2800000000 = 8100000000

Move forward 9 decimal places.

Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!

Final answer:

To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.

Explanation:

To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.

Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)

First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.

Solution for (5.3×10⁹) + (2.8×10⁹)

Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.

Both answers are now in scientific notation.

Answer:

(2x+5)(2x-5)

x=-5/2, +5/2

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

.55*647=356