On a test of 25 items, 18 were answered correctly. What percent were answered correctly?

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

Answer:

In 8 months both gym memberships will cost the same and that cost will be $464

Step-by-step explanation:

Linear Models

To compare two gym memberships, we can help Casey to form one model for each gym.

One of them charges a $248 joining fee plus $27 per month. The model for this gym is:

G1 = 27m + 248

Where m is the number of months.

The other gym has no joining fee but charges $58 per month. It's model is:

G2 = 58m

The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:

27m + 248 = 58m

Subtracting 27m and swapping the equation:

58m - 27m = 248

Simplifying:

31m = 248

Solving:

m = 248/31

m = 8

When m=8, both gyms charge the same:

G1 =27*8 + 248= $464

G2 = 58*8 = $464

Thus, in 8 months both gym memberships will cost the same and that cost will be $464

Answer:

A) 1 km in 5 min

C.) 4/20 km in 1 min

Step-by-step explanation:

Given that:

Kevin ran 4 km in 20 minutes

A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min

4 km in 20 minutes :

4km / 20 minutes = 1km / 5 minutes

4/20 km in 1 minute = 0.2 km in 1 minute

If :

1 km = 5 minutes

x km = 1 minute

Number of kilometers in 1 minute :

1/5 = 0.2 km per minute

Hence, Option A and C

Answer:

I'm just doing this to get points

Step-by-step explanation:

Vamos simplificar passo a passo.

k2-6k4-(3k4+k2+2)

Distribua o sinal negativo:

=k2-6k4+-1(3k4+k2+2)

=k2+-6k4+-1(3k4)+-1k2+(-1)(2)

=k2+-6k4+-3k4+-k2+-2

Combine os termos semelhantes:

=k2+-6k4+-3k4+-k2+-2

=(-6k4+-3k4)+(k2+-k2)+(-2)

=-9k4+-2

Responda:

=-9k4-2

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

Answer:

1 1/3 feet long

Step-by-step explanation:

Answer:

Each of the seven smaller boards will be 1.3 feet long

Step-by-step explanation:

We must divide 9 1/3 by 7

9 1/3 / 7 =  1.333286

We now have to round to the nearest tenth which would give us:

1.3

So our final answer would be 1.3

Answer:

-44.5

Step-by-step explanation:

The i part is imaginary.

The rest is real.

The real part is -44.5

Answer:

-44.5

Step-by-step explanation:

for a complex number

[tex]z=a+bi[/tex]

a is the real part

so in our case we have

[tex]z=-44.5-400i[/tex]

a = -44.5

so the real part is -44.5

Answer:

Step-by-step explanation:

221/17= 13 miles per hour over

30 limit + 13 over = 43mph

Answer:

43

Step-by-step explanation:

Answer:

(x+1)(x-2)(x-3)^2

Step-by-step explanation:

Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!

Answer:

228

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

9*(-2)³ = 9*(-8) = -72

Answer:

(C) -72

Step-by-step explanation:

[tex]9^1*(-2)^3[/tex]

Any number to the exponent of 1 is equal to themselves

[tex]= 9*(-2)^3[/tex]

Solve the exponent and multiply

[tex]= 9*(-8)\\=-72[/tex]

I hope this helps!

Answer:

u

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

Answer:

The expression in simplified radical  form is:

[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]

as

so the expression becomes

[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]

[tex]=5+\sqrt{3}+6[/tex]

[tex]=11+\sqrt{3}[/tex]

Thus, the expression in simplified radical  form is:

[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]

Answer:

It would be 13 questions.

Step-by-step explanation:

If you had to do questions 31 through 51 for homework it would be 13 because...

51 - 38 = 13

Answer:

13

Step-by-step explanation:

51 - 38 = 13

also 13 + 38 = 51

brainliest.

Answer:

hi

Step-by-step explanation:

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

Answer:

It is 1.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

5/2

Step-by-step explanation:

Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.

Answer:

D

Step-by-step explanation:

Negative numbers are less than zero.

Answer: KVL

Step-by-step explanation:

This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle

Answer: $62.79

Step-by-step explanation: i got it right on my test

Answer:

sjsnana.amamakajsakqqmk

Answer:

1) [tex]16\frac{2}{3}[/tex]% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]

[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]

Answer:

slope = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]            (-3, 4) (-7, -5)

[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]

Answer:

x = [tex]\frac{2}{5}[/tex] , x = ± i

Step-by-step explanation:

Given

5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )

x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term

(5x - 2)(x² + 1) = 0

Equate each factor to zero and solve for x

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]

x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i

The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is

x = [tex]\frac{2}{5}[/tex] ← real root

x = ± i ← complex roots

Answer:

Slope = -1/2

Step-by-step explanation:

Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.

Answer:

13.5

Step-by-step explanation:

the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5