Math problem please help!
and if you could explain how you got your answer that would be very helpful thanks!

The table can be filled in as follows:

[tex]\begin{array}{r|cccc}x(days)&1&2&3&4\\g(x)=3^x&3&9&27&81\\f(x)=3x+5&8&11&14&17\end{array}[/tex]

After 3 days, Kim's savings already exceeds Ben's, and is increasing at a faster rate. The appropriate descriptor is ...

... Kim will save more than Ben

_____

An exponential function increases faster than any polynomial function. (A linear function is a polynomial function.)

If Kim keeps up her savings for 28 days, her account balance will exceed the US Gross National Product of more than $20 trilliion. (Exponential functions tend to increase very rapidly!) Meanwhile, Ben's savings will be $89 on day 28.

_____

Please note the discrepancy in the problem statement. The verbiage says "days", but the table shows "years".

Answer:

about 36.3 feet

Step-by-step explanation:

Let x represent the height of the kite in feet. Then (x-22) is the horizontal distance to the kite. The Pythagorean theorem tells you the string length is related to these distances by ...

... 39² = x² + (x-22)²

... 2x² -44x -1037 = 0 . . . . rearrange to standard form

Using the quadratic formula, the positive solution is ...

... x = (-b+√(b²-4ac))/(2a) . . . . for a=2, b=-44, c=-1037

... x = (44 + √((-44)² -4(2)(-1037)))/(2·2)

... x = 11 + √639.5 ≈ 36.288

The kite is about 36.3 feet above the ground.

Charlotte will need 3 buffet menus to host 75 people!

"It is decreased by $80,000" is the one among the following choices given in the question that would be an immediate effect on the money supply. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.

mark brainliest plssss

(a)

his profits increase annually by 2.5%, thus the profits each year form a geometric sequence with r = 1.025

that is 100 + 2.5 = 102.5% = 1.025

[tex]a_{n}[/tex] = 35000 × [tex](1.025)^{n-1}[/tex] ← explicit rule

(b)

[tex]a_{12}[/tex] = 35000 × [tex](1.025)^{11}[/tex] = 45923....

Profits after 12 years ≈ $46000

Answer:

a. True, b. False, c. True, d. True, e. False,  f. True

Step-by-step explanation:

Partial results of a survey about students who wear glasses are shown in the two-way table.

First we complete the table to understand options easily

               Always     Sometimes     Never     Total

Boys          25                50                52           127

Girls           35                15                 48            98

Total          60                65               100          225

Now we can solve all the options easily.

a.  225 students were surveyed   -         True

b.  25 girls always wear glasses   -          False  (35)

c. 15 girls sometimes wear glasses   -      True

d.  52 boys never wear glasses     -         True

e.  75 boys were surveyed   -                   False  (127)

f. 65 students sometimes wear glasses -True

slope = [tex]\frac{4}{3}[/tex] and equation of line is

y = [tex]\frac{3}{2}[/tex] x + 3

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2, 7 ) and (x₂, y₂ ) = (- 1, 3 )

m = [tex]\frac{3-7}{-1-2}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

calculate m using the gradient formula

with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (0, 3 )

m = [tex]\frac{3+3}{0+4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

the line crosses the y-axis at (0, 3 ) hence c = 3

y = [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Answer:

Total liters of salt in [tex]2.64*10^20[/tex] liters of water is [tex]9.24*10^18[/tex].

Step-by-step explanation:

If 1 liter of water contains [tex]3.5*10^-2[/tex] amount of salt,

Then,

[tex]2.64*10^20[/tex] liters of water will contain,

[tex]3.5*10^-2[/tex] should be multiplied by [tex]2.64*10^20[/tex].

Therefore,

Total liters of salt in [tex]2.64*10^20[/tex] liters of water is [tex]9.24*10^18[/tex].

(1)

both equations express y in term of x, hence equate the right sides

- 8x = 3x ( subtract 3x from both sides )

- 11x = 0 ( divide both sides by - 11 )

x = 0

substitute x = 0 into y = 3x → y = 0

solution is : (x, y ) → (0, 0)

(2)

both equations express y in terms of x, hence equate the right sides

- 4x - 12 = - 7x ( add 7x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into y = - 7x → y = - 28

solution is : (x, y ) = (4, - 28 )

( anything )² = anything × anything

5² = 5 × 5 = 25

MN = 6 in

add the parts of the ratio, 1 + 2 + 3 = 6

divide AB by 6 to find 1 part of the ratio

[tex]\frac{18}{6}[/tex] = 3 ← 1 part

AM = 3 in ← 1 part

MN = 2 × 3 = 6 in ← 2 parts

NB = 3 × 3 = 9 in ← 3 parts

and 3 + 6 + 9 = 18 in = AB

The expected value of business profit is the sum of probability times profit:

... 0.2×(-10,000) + 0.4×0 + 0.3×5,000 + 0.1×8,000

... = -2000 + 1500 + 800

... = 300 . . . dollars

The expected value of the business return is slightly positve, so Claire should invest in the business.

Answer:

The answer above is correct

Parallel lines have the same slope, so the slope of the new line is 1/2.

The line passes through (0,4), and this gives the y-intercept, which would equal 4.

The equation now would be: y = 1/2x + 4

x Greater-than-or-equal-to 12

A closed circle is used on the graph.

The arrow on the graph points right.

The inequality representation is x ≤ 2.6 and has been graphed.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of before example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

The graph of inequality has a closed circle at 2.6, and the ray moves to the left.

The closed circle represents that point x = 2.6 is included.

Suppose the variable is x then x ≤ 2.6 represents the inequality.

Hence "The inequality representation is x ≤ 2.6 and has been graphed".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

B. x = 5 and y = -13

Step-by-step explanation:

Equating real parts, we have ...

... x + 4 = 9

... x = 9 - 4 . . . . subtract 4

... x = 5

___

Equating imaginary parts, we have ...

... yi +9i = -4i

... yi = -4i -9i = -13i . . . . subtract 9i

... y = -13 . . . . . . . . . . . divide by i

[tex](x+yi)+(4+9i)=9-4i \\\\x+4+yi+9i=9-4i\\\\x+4+(y+9)i=9-4i\\\\x+4=9 \wedge y+9=-4\\\\x=5 \wedge y=-13 \Rightarrow \text{B}[/tex]

The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I just did the assignment and got it correct.

While in college, Euler work through advanced math books on his own because his teacher advised it because he did not have time to tutor Euler privately.    

Leonhard Euler was a renowned Swiss mathematician who made significant contributions to various branches of mathematics. While in college, Euler worked through advanced math books on his own not because of his father or the quality of education, but because his tutor, Johann Bernoulli, advised it. Bernoulli recognized Euler's talent and encouraged him to pursue mathematics independently, as Bernoulli did not have enough time to tutor Euler privately.

Part A. Let the total number of patrons be x. Then the number of patrons that liked reading sci-fi novels is x-35. Now

x-35 is 80%

35 is 100%-80%=20%.

Mathematically, you can write a proportion:

[tex]\dfrac{x-35}{80}=\dfrac{35}{20},\\ \\x-35=\dfrac{35\cdot 80}{20},\\\\x-35=140,\\\\x=175.[/tex]

Part B. The total nuber of patrons is 175, 35 did not like the sci-fi novels, then 140 liked.

Final answer:

To find the total number of library patrons, set up an equation using the given information. Then, solve the equation to determine the number of patrons who enjoy reading sci-fi novels.

Explanation:

Part A: Let's represent the total number of patrons at the library as 'x'. Since Celine observed that 80% of the patrons liked reading sci-fi novels, we can say that 80% of 'x' patrons enjoy reading sci-fi novels.

Therefore, the equation to find the total number of patrons can be written as: 0.8x = x - 35.

Part B: To find the number of patrons who enjoy reading sci-fi novels, we can solve the equation from Part A. First, let's simplify the equation: 0.8x = x - 35.

Then, we'll subtract 'x' from both sides of the equation: 0.8x - x = -35.

Combining like terms, we have: -0.2x = -35.

Finally, we'll divide both sides of the equation by -0.2 to solve for 'x': x = (-35)/(-0.2).

Plugging in the values, we get: x = 175. Therefore, there are 175 patrons who enjoy reading sci-fi novels.

Answer:

a) Error: Moving the decimal point without changing the exponent changes the value of the number. The final number reported is different from the one computed.

b) Correct work: (see below)

... Correct solution: 1.035×10¹¹

Step-by-step explanation:

a) When the decimal point is moved to the left in the mantissa, its value is divided by 10 for each place the decimal point is moved. To keep the overall value of the number the same, the power of 10 must be increased to compensate. The increase in the exponent is the number of places the decimal point is moved left.

In this problem, the decimal point is moved 1 place left, so the exponent needs to be increased from 10 to 11.

b) Correct work:

[tex]\displaystyle(7.14\cdot 10^{10})+(3.21\cdot 10^{10})=(7.14+3.21)\cdot 10^{10}\\\\=10.35\cdot 10^{10}=1.035\cdot 10^{11}[/tex]

Answer:

The correct answer would be -15

Step-by-step explanation:

Although you have the multiplication symbols here, if we were to use subtraction as your instructions indicate, we would just complete the operations from left to right.

14 - 25 - 4

-11 - 4

-15

Answer:

A.

​Yes, the table shows a probability distribution.

Step-by-step explanation:

Given that a sociologist randomly selects single adults for different groups of​ three.  And the random variable x is the number in the group who say that the most fun way to flirt is in person.

Since sample size is only 3, x cannot be more than 3.

So x can take values as 0 1 2 3

Prob distribution is given as

x P(x)

0 0.092

1 0.338

2 0.418

3 0.152

We find that x values are from 0 to 3.  

Each probability is positive but less than 1.

Also total probability = 1

So this is a perfect probability distribution.

A.

​Yes, the table shows a probability distribution.

- 57 - 12i

distribute the parenthesis

= 81i² - 36i + 24 + 24i

[ note that i² = (√- 1 )² = - 1 ]

= - 81 - 36i + 24 + 24i ( collect like terms )

= - 57 - 12i

Answer:

D^^

Step-by-step explanation:

Edge

Divide the total amount she has by how much she needs per batch.

When dividing fractions, flip the second one over and then multiply straight across.

9/10 / 1/4 becomes: 9/10 x 4/1

9/10 x 4/1 = 36/10 = 3 6/10 = 3 3/5

She can make 3 more batches and have 3/5 of a teaspoon left over.

Answer:

i think its d

Step-by-step explanation:

Answer:

I think it is C triangle ABD and triangle ADC. I hope that helped.

I would add 7 to get ...

... 2x² = 16

then divide by 2 to get

... x² = 8

Now, I would take the square root, recognizing that both positive and negative values will solve the problem.

... x = ±√8

The root can be simplified, so we have ...

... x = ±2√2

_____

The above method seemed the most obvious method to me. One could use the quadratic formula, but that seems to involve more operations.

... 2x² -16 = 0 . . . . subtract 9

... x = (-0 ± √(0² -4·2·(-16)))/(2·2) . . . . put the coefficients into the formula

... x = ±(√128)/4 = ±√8 = ±2√2 . . . . . simplify the result

Sample Response/Explanation: I would use the square root property of equality. Because there is no x term, I would just add and divide to get x2 by itself. Then I would take the square root.

x = [tex]\frac{3}{4}[/tex]

distribute the parenthesis on left side of equation and simplify

5x - 2x - 2 = [tex]\frac{1}{4}[/tex]

3x - 2 = [tex]\frac{1}{4}[/tex] ( add 2 to both sides )

3x = [tex]\frac{1}{4}[/tex] + 2 = [tex]\frac{9}{4}[/tex] ( divide both sides by 3 )

x = [tex]\frac{9}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{4}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - 34

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )

m = [tex]\frac{-34-0}{0+68}[/tex] = [tex]\frac{-34}{68}[/tex] = - [tex]\frac{1}{2}[/tex]

the y-intercept = (0, - 34 ) ⇒ c = - 34

y= - [tex]\frac{1}{2}[/tex] x - 34

Answer:

Y=-.5x-34

Step-by-step explanation:

this is because you can do y2-y1/x2-x1 to get slope

-34/68

Which equals one half so currently

Y=-1/2x

To get the y intercept we can look at the number when x=0 so it would be -34. So here is the equation

Y=-.5x-34

2/11 is 0.181818 as a decimal so closest to 0.

Answer:

The answer is the first one which is 0

The slope is 8/5 because you are increasing 8 units in the y axis and 5 units in the x direction. So the equation here would be d = 8/5t which means for every increase in t by 1, d will increase by 8/5.