find the value of the expression 0.01y^4 if y=3

Answer:

[ 11 - 10 ] / 10 x 100%

= 1 /10 x 100%

= 10%

Only 10% longer

Answer:

Option B

Step-by-step explanation:

For this we'll put all of these options in place of x

Number 1:

=> [tex]2(2)^2+7(2)-4[/tex]

=> 2(4)+14-4

=> 8+10

=> 18

So, This is not the zero of the polynomial

Number 2:

=> [tex]2(1/2)^2+7(1/2)-4[/tex]

=> 2(1/4)+7/2-4

=> 1/2+7/2-4

=> [tex]\frac{1+7-8}{2}[/tex]

=> [tex]\frac{8-8}{2}[/tex]

=> 0

Yes, This is the zero of the polynomial having zero as an answer

So, We'll end the solution here because we have found the zero of the polynomial.

Hope this helps :)

Answer:

Step-by-step explanation:

For us,

P = 728,

r = .044,

e is Euler's number (a constant), and

t is 16. Filling in:

[tex]V=728e^{(.044)(16)}[/tex] and

[tex]V=728e^{(.704)}[/tex] and

V = 728(2.02182385) so

V = $1471.89

A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.

We have given that,

P = 728,

r = 0.044,

e is Euler's number (a constant), and

t = 16.

The formula of the account in t years is,

[tex]V = Pe^{rt}[/tex]

Use the given value in the above formula,

V = 728(2.02182385)

Therefore we get,

V = $1471.89

Therefore, the value of the account in t years is $1471.89.

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Answer:

Area = 14.8 units²

Step-by-step explanation:

Base of Triangle = 2 units

Height of Triangle = 5 units

Radius of the semi circle = 2.5 units

Now,

Triangle:

Area of triangle = 1/2(base*height)

Area = 1/2(2*5)

Area = 1/2(10)

Area = 5 units²

Semi-Circle:

Area of semi-circle = 1/2(πr²)

Area = 1/2(3.14)(2.5)²

Area = 1/2(3.14)(6.25)

Area = 9.8 units²

Area of the figure:

Area = 5 + 9.8

Area = 14.8 units²

Answer:

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Step-by-step explanation:

[tex]12y^2-20y+3[/tex]

-20y can be written as -2y + -18y.

[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]

Factor out 2y from the first expression and factor out 3 from the second expression.

[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]

Factor out the common term 6y-1.

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Answer:

Her average speed is 45 mph

Step-by-step explanation:

Let the average speed be x mph

Time taken complete the journey = distance/ average speed

Time = 300/x

Now , at 9 mph less, she could have only traveled 240 miles in same time

At 9 mph less, the average speed is x-9

so the time would be 240/x-9

since the time is same as before;

300/x = 240/x-9

Divide both sides by 60

5/x = 4/x-9

Cross multiply

5(x-9) = 4(x)

5x - 45 = 4x

5x -4x = 45

x = 45 mph

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

Read more on congruent triangles;

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Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

Answer:

0.82

Step-by-step explanation:

Step 1: (Calculating mean)

=> [tex]\frac{5+6+7}{3}[/tex]

=> [tex]\frac{18}{3}[/tex]

=> Mean = 6

Step 2:

=> (5-6)² = (-1)² = 1

=> (6-6)² = (0)² = 0

=> (7-6)² = (1)² = 1

Step 3: (Adding all values calculated in step 2)

=> 1+ 0 + 1 = 2

Step 4: (Dividing the result in step 3 by no. of observations)

=> 2/3 = 0.67

Step 5: (Get square root to calculate the deviation.)

=> [tex]\sqrt{0.67}[/tex] = 0.82

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

Hope it helps ☺️ CLICK on ♥️

Answer:

[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]

Step-by-step explanation:

We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).

Recall that point-slope form is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope.

Find the slope m using the two given points.

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]

Substitute. We can use either point. Using the point (1, -6), we acquire:

[tex]y-(-6)=4(x-(1))[/tex]

Simplify:

[tex]y+6=4(x-1)[/tex]

And using the point (4, 6), we acquire:

[tex]y-(6)=4(x-(4))[/tex]

Simplify:

[tex]y-6=4(x-4)[/tex]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

1. (x+6)(x-7)

2. (x+3)(x-2)

3. (x-2)(x-25)

4. (x-5)(x+5)

I hope it helps

Answer:

-4

Step-by-step explanation:

(4-2)^3 - 3*4

PEMDAS

P arentheses

(2)^3 - 3*4

E xponents

8 -3*4

MD  multiply and divide from left to right

8 - 12

AS add and subtract from left to right

-4

Answer:

-4

Step-by-step explanation:

When solving an expression, use PEMDAS!

4-2 = 2

2^3 (Cubed means to the 3rd) = 8

3 x 4

8-12 = -4

Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Answer:

Many situations can do so.

Step-by-step explanation:

Imagine your father gave you $n (n dollars), your mother then gives you $2 dollars. How many dollars do you have now? n+2 dollars.

You have two assignments to complete for this term. Your Physics teacher decides to give you n assignments to do. How many assignments do you need to do to complete the term? n+2 assignments.

On Brainly, you have n points. You answered a Geography question which awarded you 2 points. How many points do you have now? n+2 points.

Hope it helps!

Answer:

2.05 × 10⁷

Step-by-step explanation:

0.000000205

We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :

=> 2.05 × 10⁷

Answer:

205 × [tex]10^{-9}[/tex]

Step-by-step explanation:

[tex]10^{-9} = 0.000000001[/tex]

0.000000001 × 205 = 0.000000205

This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.

Doing so leads to the answer [3   -12    15    -21]

Side note: I'm assuming the matrix given to you has 1 row and 4 columns.

m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:45°

Step-by-step explanation:

Answer:

From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.

The equation of the new graph is f(x) = (x + 3)² - 5

Step-by-step explanation:

Answer: 2a^2

Step-by-step explanation:

2^3 = 8

8 / 4 = 2

————————

(a^2)^3 = a^6

a^6 / a^4 = a^2

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Answer:

162

Step-by-step explanation:

20736 x 729 x 4/216 x 64 x27

Now go ahead and do the cancellations

20736/216 =96

729/27 =27

64/4 =16

so you end up getting 96 x 27 x1 /26

96/16 =6

so you get 27 x 6 =162

Answer:

1. 25, 36

2. 125, 216

Step-by-step explanation:

in the sequence of 1.4.9.16. The next two terms are 25 and 36. This is because we are calculating the squares of the number in the term in other words, the nth term = n^2

For the sequence starting 1,8,26,64. The next terms are 125 and 216. This is because the nth term = n^3

Hope this helps

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

Answer:

0.4

Step-by-step explanation:

To decrease something by 60% you multiply by 0.4

Answer:

0.4

Step-by-step explanation:

Say you have an object that costs $100.

Now 60% of $100 is $60.

Subtract $60 from $100 and you get $40.

Now $100 × [tex]x[/tex] = $40

[tex]x=0.4[/tex]

$100×0.4=$40

You need to multiply it by 0.4