Determine the period.

Answer:

cosC = [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]

Answer:

The boat is going 21 MPH

Step-by-step explanation:

If the boat is going 84 miles in 4 hours, and you want to find the unit rate, divide 84 by 4.

84/4 = 21

Hope this helps!

Answer:

The surface area of the rectangular prism is 814[tex]in^{2}[/tex]

Step-by-step explanation:

In order to find the surface area for a rectangular prism you have to solve using the following formula

A=2(wl+hl+hw)

Hope this helps!

Answer: 18

Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18

Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36

Hope that helps

Answer:

18

Step-by-step explanation:

listing the factors

factors of 18 are 1, 2, 3, 6, 9, 18

factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 6, 9, 18

with GCF being 18

Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96

B.

an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596

C.

an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096

Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162

Geometric sequences and series

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

Example

Write the first five terms of a geometric sequence in which a1=2 and r=3.

We use the first given formula:

Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:

Video lesson

Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.

Answer:

click the link below for further explanation

Step-by-step explanation:

https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics

Step-by-step explanation:

3w + 2 = 20

       -2    -2

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

3w = 18

----    ----

 3       3

   w = 6

You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.

Hope this helped.

Equation – 3w + 2 = 20

Transpose 2 to the right hand side of the given equation

Now, simplify the right hand side

Cross multiply

Hence, the solution of the equation is 6

Answer:

number is 6

Step-by-step explanation:

let the number be x , then double the number is 2x and

2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )

6x - x = 30

5x = 30 ( divide both sides by 5 )

x = 6

That is the number is 6

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

Answer:

[tex]a. \ \dfrac{1}{36}[/tex]

[tex]b. \ \dfrac{4}{9}[/tex]

[tex]c. \ \dfrac{5}{6}[/tex]

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Answer:

Step-by-step explanation:

Use the Law of Cosines:

Correct choice is A.

Answer:

8x^2-1+3^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

This rotation would create a sphere.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere.

A semicircle is a half-circle formed by a one-dimensional locus of points.

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere. This is because of the fact that when the semi-circle will be rotated about the y-axis then all the points will be at equal distance in all the directions from the centre.

Learn more about Sphere:

https://brainly.com/question/11374994

Answer:

15 is the answer I think.

Answer:

the first difference are all 20. (increases by 20 per week)

since the first differences of this relation are constant, it is a linear relation

Step-by-step explanation:

Slope = rise/run = 1/2

You need to plot these two points = (1,0) and (3,1) and make a line paas through

Answer by Gauthmath

Answer:

either 5 or 6

Step-by-step explanation:

I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.

Answer:

Volume of a cone - πr^2(h/3)

Step-by-step explanation:

If radius doubled - π2r^2(h/3)

If height doubled - πr^2(2h/2)

Let's assume r and h to be 1.

Radius doubled = 2π(1/3) = 2.09439510239 (volume)

Height doubled = π(2/3) = 2.09439510239 (volume)

If radius and height equal for 1, does it mean it is equal for other values too?

Let's use 2 instead of 1 and find out:

8π(2/3) - Option 1

8π(2/3) - Option 2

Both are the same...

Answer:

2x on the radius...

Vol = [tex]\frac{1}{3} \pi r^{2} h[/tex]  

[tex]\frac{1}{3} \pi[/tex] is constant (in this story)

[tex](2r)^{2}[/tex]  vs. 2h   ... the     [tex](2r)^{2}[/tex] will most likely be bigger...

I say most likely because if the cone radius was super small and

the height was super long (like a straw, or a piece of spaghetti)

then the 2x on the height actually can be better  

Step-by-step explanation:

Answer:

8 munutes

Step-by-step explanation:

let :

x is the final level for both tanks (in ft) and

t is the time (in minutes)

the equation :

x = 6 - 0.5 t (eq.1)

x = 10 - 1t (eq.2)

eq. 1 = eq. 2

=>

6-0.5t = 10-1t

1t - 0.5t = 10-6

0.5t = 4

t = 4/0.5 = 8

t = 8 minutes

Answer:               8 minutes

Step-by-step explanation:

Write an equation for the level of oil in each tank.

Let t = the number of minutes.

Tank A: y = 6 − 0.5t

Tank B: y = 10 − 1t

Solve the system by using a table of values

When t = 8 minutes, the level in both tanks will be at 2 feet.

Answer:

yes

Step-by-step explanation:

A prime number is only divisible by 1 and itself in terms of natural numbers

5 is only divisible by 1 and 5 so it is a prime number

a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?

Let the number of boys be x

Data :

Total pupils = 2500

Absent no. of boys and girls = 52 and 1/9

Now,

Remaining no of pupils = 2500 - 52 ➝ 2448

Hence, the no. of girls absent = 1/9 of 2448 ➝ 272

Therefore,

Total no. of pupils absent = 52 + 272 ➝ 324

No. of pupils present = 2500 - 324 ➝ 2176

Henceforth, 2176 pupils are present

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

or

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range  -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

Answer:

0

Step-by-step explanation:

We can find the slope by using the slope function

m = (y2-y1)/(x2-x1)

    = (-3 - -3)/(-2 - 6)

    = (-3+3)/(-2-6)

   = 0/-8

  = 0

To calculate the slope use the gradient formula.

[tex] \bf \Large \: m \: = \: \frac{y_2 \: - \: y_ 1}{x_2 \: - \: x_ 1} \\ [/tex]

[tex] \bf \large\longrightarrow \: y_2 \: = \: - 3[/tex]

[tex]\bf \large\longrightarrow \: y_1 \: = \: - 3[/tex]

[tex]\bf \large\longrightarrow \: x_1 \: = \: 6[/tex]

[tex]\bf \large\longrightarrow \: x_2 \: = \: - 2[/tex]

[tex]\bf \Large \: m \: = \: \frac{( - 3 )\: - \: (- 3)}{ (- 2) \: - \: 6} \\ [/tex]

[tex]\bf \Large \: m \: = \: \frac{ \: 0 }{ - 8 \: \: } \\ [/tex]

[tex]\bf \Large \: m \: = \: \cancel\frac{ \: 0 }{ - 8 \: \: } \: ^{0} \\ [/tex]

[tex]\bf \Large \: m \: = \: 0[/tex]

Answer:

4. SR= 17 (opposite angle of parallogram are equal)

9514 1404 393

Answer:

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

Answer:

-19x - 17y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-10x - 10y) + (-9x - 7y)

Step 2: Simplify