What is the 21st term of the sequence with a1 = -7 and d = 3?

Answer:

[tex]A = \frac{r}{2}C[/tex]

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

[tex]C = 2\pi r[/tex]

Area is calculated as:

[tex]A = \pi r^2[/tex]

The area can be rewritten as:

[tex]A = \frac{2\pi r^2}{2}[/tex]

Further rewrite as:

[tex]A = \frac{r}{2}*2\pi r[/tex]

Recall that:[tex]C = 2\pi r[/tex]

So, the expression becomes

[tex]A = \frac{r}{2}*C[/tex]

[tex]A = \frac{r}{2}C[/tex]

Answer: 11,921,360

Step-by-step explanation:

Answer:

Gay?

Step-by-step explanation:

Answer:

It is a negative slope :)

Answer:

● equivalent

Step-by-step explanation:

○ equivalent

Answer:

the base is the answer 4

[tex] {42}^{2} [/tex]

Step-by-step explanation:

42 is the base

Answer:

x=y-75x-5y=-35

Step-by-step explanation:

Answer:

first one is correct

Step-by-step explanation:

Given:

The scale model of an object has a scale of 1cm : 2ft.

The actual object is 11 feet tall.

To find:

The height of the model.

Solution:

It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.

Let the height of the model be x cm.

[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]

[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]

[tex]x\ cm=5.5\ cm[/tex]

Therefore, the model is 5.5 cm tall.

The arc length will be option B. 13.6 cm.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

If radius of the circle is of r units, then

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

The superscript 'c' shows the angle measured in radians.

Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.

So we input our values in the formula:

2π (12) x 65/360

= 24π x 65/360

= 13.6

Hence, the arc length will be option B. 13.6 cm.

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Answer:

220.8 in.²

Step-by-step explanation:

Area of the pyramid = area of the square + 4(area of the triangle)

Area of square = s²

s = 9.2 in.

Area of the square = 9.2² = 84.64 cm²

✔️Area of the 4 triangles = 4(½*bh)

b = 9.2 in.

h = 7.4 in.

Area = 4(½*9.2*7.4) = 136.16 in²

✅Surface area = 84.64 + 136.16 = 220.8 in.²

Answer:

-77.625

Step-by-step explanation:

How to find

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Therefore, the value of the expression 6 3/4 (- 11.5) is -77.625.

Answer:

The answer is B, 7.83 meters.

Step-by-step explanation:

The mean of the six trees refers to the average height of all six trees. To find the mean value of any set of values, simply follow this formula:

Mean = [tex]\frac{Sum of all values}{Number of values you used}[/tex]

So for this particular question, my working was:

Mean = (5m + 8m + 12m + 6m + 11m + 5m)/6 = 7.833333333333m (Round off to 3 significant figures to get 7.83m)

Step-by-step explanation:

The model that illustrates the relationship is 4x=10.404x=10.40

The cost of each ice cream was x=\$2.60x=$2.60

Step-by-step explanation:

Let

x----> the cost of one ice cream

we know that

The linear equation that represent this situation is

4x=10.404x=10.40

solve for x

Divide by 4 both sides

x=10.40/4x=10.40/4

x=\$2.60x=$2.60

Answer:

First answer is y = 2.6 (or answer two)

Second answer is         Cost of Ice Cream Cones

A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)

Third answer is

             Cost of Ice Cream Cones

On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)

Step-by-step explanation:

Correct on edge 2021

and i did the calculations

I hope this helped have a great day!

Answer:

The answer is B-452.4

Step-by-step explanation:

The formula for volume of a cylinder is V= πr^2h

so you would do 3.14 times 6 squared times 4

6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2

Hope this helps!

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

10²=z²+8²

z²=100-64

z=√36=6

z=6 units.

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

y=x-5

Thatll be one brainliest

Let a_1 = 5

Let d = 5 = common difference

S_n = a_1 + (n - 1)d

S_n = 5 + (n - 1)4

Answer:

there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Step-by-step explanation:

H0 : μw = μm

H1: μw < μm

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

df1 = 14 - 1 = 13

df2 = 17 - 1 = 16

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)

Sp² = 16.90

t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))

t = - 3.5 ÷ 1.4836645

t = - 2.359

Using the Pvalue from Tscore ; at 95% ; df = 29

Pvalue = 0.0126

Pvalue < α

0.0126 < 0.05 ;

Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.

The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.

The two diagonals are perpendicular so angle 8 would be 90 degrees.

The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.

Here are all the angles:

1 = 58

2 = 58

3 = 32

4 = 32

5 = 32

6 = 58

7 = 58

8 = 90

Now just pick the correct answers

Answer:

option 2

Step-by-step explanation:

a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right

Answer:

f(x)= 2 ³√x+4

Step-by-step explanation:

Thats the answer

The equation of the function is f(x) = 2∛x -4.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We will take two points from the graph substitute in each function.

So, the points are (0, -4) and (1, -2).

1. f(x) = ∛x -4

For x= 0

f(x) = ∛0 -4 = -4

and, For x= 1

f(x) = ∛1 -4 = 1 -4 = -3  (False)

2. f(x) = 2∛x -4

For x= 0

f(x) = 2∛0 -4 = -4

and, For x= 1

f(x) = 2∛1 -4 = 2 -4 = -2 (True)

3. f(x) = 2∛x +4

For x= 0

f(x) = 2∛0+4 = 4

and, For x= 1

f(x) = 2∛1 +4 = 2+4 = 6 (False)

4. f(x) = ∛x +4

For x= 0

f(x) = ∛0 +4 = 4

and, For x= 1

f(x) = ∛1 +4 = 1 +4 = 5 (False)

Thus, the required function is f(x) = 2∛x -4.

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Answer:

its A

Step-by-step explanation:

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

Answer:

100 decreases

Step-by-step explanation:

Answer:

r = 7.33 units

Step-by-step explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh[/tex]

Put all the values,

[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]

So, the value of r is equal to 7.33 units.

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians