Help help help help math

The correct equivalent function can be found by using exponent rule.

The correct option is [tex]f(x)=3(8.35^x)[/tex].

Given:

The given expression is as follows,

[tex]f(x)=3(1.7)^{4x}[/tex]

Write the exponent rule.

[tex]a^{mn}=(a^m)^n[/tex]

To simplify the given expression apply the exponent rule.

[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]

Using calculator find the value of [tex]1.7^4[/tex].

[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]

Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].

Learn more about exponent rule here:

https://brainly.com/question/2254060

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

Answer:

x > 14 ; x < 12

Step-by-step explanation:

Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14

Area < 138, so that means 3*(4x-2) < 138, so x < 12

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

Answer:

18° , 72° , & 90°

Step-by-step explanation:

First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°

The equation will be:

1x + 4x + 5x = 180°

10x = 180°

divide both sides by 10 to get 1x on the left side:

[tex]\frac{10x}{10} =\frac{180}{10}[/tex]

x = 18

Then plug 18 in, instead of 'x', similar to in the first step:

1(18) = 18°

4(18) = 72°

5(18) = 90°

Answer:

14,20

Step-by-step explanation:

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

Step-by-step explanation:

we need to find how much 14/70 is equal to ? over 100

100/70=1.42857142857

14x1.42857142857=20

Therefore she drinks 20/100 she drinks before she goes on a ride.

or 20%

it's 20

I got it right on iready

Answer:

90

Step-by-step explanation:

q

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

Reasons:

The matrix A is presented as follows;

[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]

Using the multiplication of a matrix and a scalar, we have;

[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]

Therefore;

[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]

Learn more about matrices here:

https://brainly.com/question/14296012

Answer:

The correct answare should be slope of 3.

Step-by-step explanation:

Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

its 84.987

Step-by-step explanation:

Trust me im smart :)

Answer: 24 of 80 is 30%

Step-by-step explanation:

24 of 80 can be written as: 24/80

To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100

= (24x100 / 80 ) x 1/10 = 30/100

Therefore, the answer is 30%

If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.

Step-by-step explanation:

Please forgive me if I'm wrong but I would choose A, B, and E.

Here is the remainder for both. No the remainders are not equal.

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

Answer:

-8p -2

Step-by-step explanation:

(-7p + 10) - (p + 12) =

-7p + 10 - p - 12 =

-8p -2

Answer: the answer is C which is .0287

The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.

Let's use the binomial probability formula for this calculation:

The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)

p is the probability of success (rain in this case)

n is the number of trials (number of days in a week)

In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.

Now, let's calculate the probabilities for k = 0, 1, and 2:

Probability of raining 0 days in a week:

P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)

Probability of raining 1 day in a week:

P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)

Probability of raining 2 days in a week:

P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)

Now, add these probabilities together to get the probability of it raining at most 2 days in a week:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Calculate the values using the binomial coefficients:

C(7, 0) = 1

C(7, 1) = 7

C(7, 2) = 21

Now, calculate the probabilities:

P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187

P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775

P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215

Finally, add these probabilities together:

P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087

Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

So, the correct answer is (b) 0.0250.

Learn more about probability from the link given below.

https://brainly.com/question/32117953

#SPJ2

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = [tex]\sqrt{23}[/tex]

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

(12, 1)

Step-by-step explanation:

Arbitrarily choose y = 1.  Then x - 6y = 6 becomes

x = 6(1) + 6, or x = 12.

Thus, one (of many) point on the graph is (12, 1).

Answer:

9 ÷ 7 + d.

Step-by-step explanation:

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

Answer:

600 is 29.268292682927% of 2050.

29.30% rounded off 1 decimal place (tenths)

29.27% rounded off 2 decimal places (hundredths)

Step-by-step explanation:

6-7pm is 1 hr.

1hr = 60 min

10 students per min

60 min * 10 = 600

600 ÷ 2050 = 0.29268292682927 = 29.268292682927%

Answer:

-2x + 8

Step-by-step explanation:

32x + 8 - 34x

(32 - 34)x + 8

-2x + 8

-2x + 8

=> 32x + 8 - 34x

=> (32 - 34)x + 8

=> -2x + 8

Answer:

[tex]y=-x-2[/tex]

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

[tex]1--3=1+3=4[/tex]

The change between the x-values is -4.

[tex]-3-1=-4[/tex]

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

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

If you just wanted to use the slope formula, you could do that too:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done:

[tex]y=-x-2[/tex]

Answer:

8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]

Step-by-step explanation:

hope this helps! :D

Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

Answer:

#9. y = -250x

#10. y = -2500, x = 100

Step-by-step explanation:

y = mx +b

y: y-value

m: slope

x: x-value

b: y-intercept

since your answer for #8 is -250, the slope would be -250 or m would be -250

y = -250x+b

now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)

plug in the points

-250 = -250(1)+b

solve for b

b = 0

thus the equation is y = -250x + 0 or y = -250x

#10 plug in x values and y values into equation to get answer

x = 10 -> y = -250(10) = -2500

y = -25,000 -> -25,000 = -250x

x = -25,000/-250

x = 100