What is the common ratio of the
geometric sequence? 1,2,4,8

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{AB}[/tex]=cos60

x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]

in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]

so cosB=[tex]\frac{x}{11}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]

x=[tex]\frac{11}{2}[/tex]

Answer:

Step-by-step explanation:

x is the smallest side because it is opposite of 30° angle.

The side opposite to 30° is half the hypotenuse:

The exponential function represented in the table is given by:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Considering the table, that has points (2,36) and (3,54), we have that:

[tex]36 = ab^2[/tex]

[tex]a = \frac{36}{b^2}[/tex]

[tex]54 = ab^3[/tex]

[tex]54 = \frac{36}{b^2} \times b^3[/tex]

[tex]36b = 54[/tex]

[tex]b = \frac{3}{2}[/tex]

Hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

When x = 2, y = 36, hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]

[tex]\frac{9}{4}a = 36[/tex]

[tex]a = 16[/tex]

Hence, the function is:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

Answer:

45 and 46

Step-by-step explanation:

let x = the smaller number

thus, x + 1 is the next consecutive number

x + x + 1 = 91

2x + 1 = 91

2x = 90

x = 45

x + 1 = 46

Answer:

1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..

HOPE IT HELPS

Answer:

w43324424

Step-by-step explanation:

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches

She can afford to pay $1296 per month.

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

Therefore, she can afford to pay $1296 per month.

Learn more about calculus in https://brainly.com/question/14478573

On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The table of the given x value is,

x          3,     4,     5,     6,     7

f(x)      12,   24,   28,   96,   192

The average rate of change of value is the ratio of overall change of function output value to the input value.

For the input values of 4 and 7 let's find the average rate of change,

[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]

Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

4

x-value is the average rate of change 56

Answer:

-33

Explanation:

29-(-36-(-27-31)+40)=

29-(-36-(-56)+40)=

29-(-36+58+40)=

29-62=-33

Answer:

a) m line over OR=108 degrees =0.6[tex]\pi[/tex]

b) m <QSR=108 degrees

Step-by-step explanation:

Answer:

[tex]x = 14 - 3[/tex]

Step-by-step explanation:

*The key word 'less than' means to subtract.

x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.

In other words, the backpack didn't increase in pounds.

3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.

x = 143 is incorrect. This equation is unrealistic.

x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)

Answer:

A) −32; velocity decreases at rate of 32 feet per second as the time increases

Step-by-step explanation:

Rewrite v(t) = 128 - 32t as v(t) = -32t + 128

We see that our slope is -32 ft/s given it's in slope-intercept form with an initial height of 128 feet.

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

2. Switch y to x and x to y

x=8y-2

3. Solve for y:

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

1. Add 2 to both sides.

 x=8y-2

+2     +2

2. Divide both sides by 8.

x+2=8y

---     ---

8       8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4  

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

3. Solve for y:

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

1. Subtract 6 from both sides.

x=2/3y+6

-6        -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

x-6=2/3y

2/3x-4=y

3. Write in f-inverse form

g^1(x)=2/3x-4

C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

3. Solve for y:

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

1. Add 12 to both sides.

x=-4y-12

+12    +12

2. Divide both sides by -4

x+12=-4y

------    ---

-4        -4

-1/4x-3=y

3. Write in h-inverse form

h^2(x)=-1/4/x-3

Answer: 1/16

Step-by-step explanation:

1/2 - 1/16 = 8/16 - 1/16 = 7/16

7/16 / 7 = 1/16

Answer:

[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation we will follow the given concept :

[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]

[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]

Hence, the value of x is 1/16.

[tex]\rule{300}{2.5}[/tex]

Answer:

8.5 in

Step-by-step explanation:

step 1

to find the width, the equation would be:

P/2-L

step 2-plug in

43/2-13=

8.5

Answer:

Step-by-step explanation: 10 + 10 = 20

46 - 20 = 26

26 divided by 2 = 13

Answer:

Percent increase : 20%

Step-by-step explanation:

First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

64,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Brainliest?!

Answer:

Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.

Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

Answer:

beacuse it was so hot and people were stealing alot and thir king suks

Step-by-step explanation:

Answer:

In the summer of 1919, over 20 race riots broke out across the nation. The worst violence occurred in Chicago. African Americans went to White Beach only and that started violence. Each sides started throwing stones at each other, and a person drowned. A full-scale riot then erupted in the city. Angry African Americans attacked white neighborhoods while whites attacked African American neighborhoods. In the end, 38 people died—15 white and 23 black—and over 500 were injured. The most serious racial outbreak occurred in Chicago late in July of the Red Summer. A African American drifted into water that was customarily used by whites, White swimmers commanded him to return to his part of the beach, and some threw stones at him. The man drowned and that caused a riot between African American and White people. 38 people had been killed, including 15 whites and 23 blacks. Hope this helps!

Answer:

[tex]x=-\frac{15}{2}[/tex]

Step-by-step explanation:

Start by distributing the 6 to each of the terms in the parentheses:

6(x)+6(9)=9

6x+54=9

Subtract 54 from both sides

6x+54-54=9-54

6x=-45

Divide both sides by 6

x=-45/6

Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.

x=-15/2

[tex]\huge \boxed{\tt x= - 7.5}[/tex]

Step-by-step explanation:

[tex] \to \sf6(x+9)=9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]

[tex] \\ \\ [/tex]

Round of -15 / 2 to get product as - 7.5

[tex] \to \sf x= - 7.5[/tex]

Verification:

6(x+9)=9

6(- 7.5 +9) = 9

6 × 1.5 = 9

9 = 9

Hence verified ~☆

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

Answer:

96cm

Step-by-step explanation:

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

Answer: 1.5hr

Step-by-step explanation:

Answer:

5,314,411,000,000,000,000

Step-by-step explanation:

5.31441* 10^17 = 5,314,411,000,000,000,000