m
(2y+19)
(5x+20)
n
(4x-11)

Answer:

a4 = 123

Step-by-step explanation:

Here, we want to find the value of the 4th term

we simply have n as 4

substituting this, we have;

a4 = (a3)^2 + 2

But a^3 = (a2)^2 + 2 and

so we have ;

a4 = [(a2)^2 + 2]^2 + 2

But a2 = (a1)^2 + 2

a4 = {[(a1)^2 + 2)]^2 + 2}^2 + 2

Now, substitute the value of a1

a4 = (1)^2 + 2)^2 + 2)^2 + 2

a4 = (1 + 2)^2 + 2)^2 + 2

a4 = (3^2 + 2)^2 + 2

a4 = 11^2 + 2

a4 = 121 + 2

a4 = 123

Answer:

30 miles

Step-by-step explanation:

i hope it wil help u

Answer:

y-value is direct variation

Step-by-step explanation:

Solve the equation for inverse and cross multiply.

Answer:

3.5cm

Step-by-step explanation:

all sides of equilateral triangle are equal.

so 10.5/3 = 3.5

hope it helps

Answer:

3.5 cm

Step-by-step explanation:

Answer:

The answer is 126,659,213

Answer:

Dylan's credit card account has decreased by 29%.

Step-by-step explanation:

You first have to subtract:

$575.00 - $408.25 = $166.75.

You then have to divide the amount decreased by the total amount.

$166.75 / $575.00 = 0.29 = 29%

29% is the amount decreased in the credit card account.

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

c. y=6x direct variation

Answer:

the table represent a direct variation

Step-by-step explanation:

as when x=1

y=2

and

x=10

y=60

Answer:

y = 6x  direct variation

Step-by-step explanation:

Remember that direct variation is y = kx  and inverse variation is y = k/x  where k is a constant

x= 1 2 5 10

y= 6 12 30 60

First look at direct y = kx  solving for k  y/x =k

y/x from the table is 6/1 =6  12/2 = 6  30/5 =6  60/10 =6  so k=6

This is a direct variation with k=6

y = 6x

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

fractions are division, so if you divide the numerator by the denominator you'll always get the mixed number / whole number

so 3/4 is equal to 3 divided by 4

15 divided by 5 is 3, because 3 x 5 = 15

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

Answer:

$2.20 per kilogram

Step-by-step explanation:

Take the total cost and divide by the number of kilograms

15.40/ 7

2.20

$2.20 per kilogram

Answer:

Step-by-step explanation:

I am not sure if this is corect but you need to devide 7 by 15.40

and that is my best estimate

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

Answer:

3. Scientists measured how many days had rain each month for three different cities. For example, in Miami, the first month had 6 days of rain, the next month had 5 days of rain, and so on. These box plots show the results:

a) Fill in the blanks to describe the shape of each box plot. (3 points: 1 point for each blank)

Miami: _________negativley skewed________

Seattle: _______smytric__________

Las Vegas: _______positivley skewed__________

b) Fill in the blanks to compare the centers of the three box plots. (4 points: 1 point for each blank)

Better measure of center to use: ______Median____

Center for Miami: 7.5 days

Center for Seattle: ___14___ days

Center for Las Vegas: ___2___ days

Which city had the largest typical number of days of rain each month? _____Seattle_____

c) Find and compare the spreads of the three box plots. (3 points: 1 point for each blank)

Better measure of spread to use: ____Interquartile range______

Spread for Miami: 8.5 days

Spread for Seattle: ___9.5___ days

Spread for Las Vegas: 2 days

Which city had the lowest variation in the days of rain each month? _____Las vegas_____

Step-by-step explanation:

A p E x

Answer:

c

Step-by-step explanation:

its c

Answer:

= 15.10 is the answer.

Step-by-step explanation:

The missing value is 15.2 and 15.10 couldn't replace it because the decimal number of 15.10 is higher than the decimal of 15.2.

Replace x with 180:

3(180)/10 =

540/10 =

54

Answer : 54

Answer:

54

Step-by-step explanation:

x = 18

Evaluate:

3 x / 10

put the value of x

3 × 180 / 10

540 / 10

54

Answer:

f(- 3) = 18

Step-by-step explanation:

Substitute x = - 3 into f(x) , that is

f(- 3) = 2(- 3)² = 2(9) = 18

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

Answer:

17.) 12

18.) 1/15

Step-by-step explanation:

2 ÷ [tex]\frac{1}{6}[/tex]

This problem is asking how many [tex]\frac{1}{6}[/tex] 's can go into 2 blocks.  If you divide one box into 6 parts, each tiny box will be [tex]\frac{1}{6}[/tex] of the whole. Divide the other box into 6 parts as well, and you will get 12 of these [tex]\frac{1}{6}[/tex] parts.  Check your answer by multiplying 12 by [tex]\frac{1}{6}[/tex].  The answer is [tex]\frac{12}{6}[/tex] which is also equal to 2.

[tex]\frac{1}{3}[/tex] ÷ 5

For this one, think of it as we have one big box divided into thirds. We want to divide each  [tex]\frac{1}{3}[/tex] portion by 5. So you should have 5 tiny boxes in each [tex]\frac{1}{3}[/tex] which gives you a total of 15 boxes.  But if we look at it as one big box divided into 15 parts, we know that each of those is [tex]\frac{1}{15}[/tex].  Check your answer by multiplying [tex]\frac{1}{15}[/tex] by 5 and you get [tex]\frac{5}{15}[/tex] which is equal to [tex]\frac{1}{3}[/tex].  

Let me know if you have any questions, and good luck!

Answer:

b=4

Step-by-step explanation:

Answer:

50 pounds.

Step-by-step explanation:

25000 / 500 = 50 pounds.

Answer:

50

Step-by-step explanation:

25,000 / 500 = 50

Answer:

[tex]\cos \theta = -\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

Draw a right triangle with angle [tex]\theta[/tex]. In all right triangles, the sine of an angle is equal to its opposite side divide by the hypotenuse of the triangle. Therefore, label the side opposite to [tex]\theta[/tex] as 2 and the hypotenuse (longest side) of the right triangle as 3.

To find the last side, use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle.

Solving for [tex]a[/tex]:

[tex]a^2+2^2=3^2,\\a^2+4=9,\\a^2=5,\\a=\pm\sqrt{5}\implies \sqrt{5}[/tex]

In all right triangles, the cosine of an angle is equal to its adjacent side divided by the hypotenuse. However, the cosine of all angles in Quadrant III are negative. Therefore, the desired answer is [tex]\cos \theta=\boxed{-\frac{\sqrt{5}}{3}}[/tex].

Verify:

[tex]\sin \theta =-\frac{2}{3},\\\\\theta=\arcsin(-\frac{2}{3}}),\\\\\cos(\arcsin(-\frac{2}{3}}))=-\frac{\sqrt{5}}{3}\checkmark[/tex]