Jake has 3 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing
puzzles it takes Jake how to complete each puzzle. Which equation models the number of puzzles, p. Jake can
complete before bedtime?

Answer:

[tex]3^{a}[/tex] = 11

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , so

[tex]log_{3}[/tex] 11 = a ⇒ 11 = [tex]3^{a}[/tex]

Answer:

-[x-8]= -2

-x+8=-2

-x= -2-8

-x÷ -1=-10÷ -1

x=10√

Answer: that's 6 tablets per day!

Hope this helps!

Answer:

45% as a decimal is 0.45

Step-by-step explanation:

45% ÷ 100 = 0.45

The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. ​ Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.

The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.

Given, The perimeter of a rectangular traffic sign is 100 inches.

rectangular perimeter= 2(l+b)=100

Also, its width is 10 inches wider than its length.

l=10+b

Take 2(l+b)=100

l+b=50

Substitute l=10+b in the above equatuion.

10+b+b=50

10+2b=50

2b=50-10

2b=40

b=20

Substitute b=20 in l=10+b

l=10+20

l=30

Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.

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Correct question is;

Let f(k) = 7k^(6) + 6k - 10 and g(k) = -3k^(6) - 7k + 1. Find the difference (f - g)(k).

Answer:

(f - g)(k) = 10k^(6) + 13k - 9

Step-by-step explanation:

We are given;

f(k) = 7k^(6) + 6k - 10

g(k) = -3k^(6) - 7k + 1

Thus;

(f - g)(k) = 7k^(6) + 6k - 10 - ( -3k^(6) - 7k + 1)

(f - g)(k) = 7k^(6) + 6k - 10 + 3k^(6) + 7k - 1)

(f - g)(k) = 10k^(6) + 13k - 9

Answer:

(-2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

Step 3: Solve for x

Answer:

Perpendicular

Step-by-step explanation:

These lines don't run with each other, and instead, cross paths.

Answer:

(2,-7)

Step-by-step explanation:

The equation of a parabola is y=a(x-h)^2 + k

the vertex in this equation is (h,k)

Since the equation that is given is y=(x-2)^2-7

we can conclude that the vertex will be (2,-7)

Answer:

?=8

Step-by-step explanation:

I substituted the ? for x

-3=x-11

first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.

-3=x-11

+11    +11

-3+11=8

x=8

If you check your work, this should also go back in perfectly.

-3=8-11

or

-3=-11+8

I hope this helps!

Have a good day!

Answer:

what does cos theta mean

Step-by-step explanation:

i need to know

Answer:

9

Step-by-step explanation:

3/4 of 12 is 9

The other number given the average of the two numbers and one of the numbers is 10x - 3.

The average of a set of numbers is the mean of the numbers. The average of a set of numbers is determined by adding the numbers together and dividing it by the sum of numbers. Average is a measure of central tendency.

In order to determine the second answer, subtract the first number from the sum of numbers.

Average = sum of numbers / total numbers

5x = sum of numbers / 2

Sum of the two numbers = 5x  × 2

Sum of the two numbers = 10x

If one of the numbers is 3, the other number is: 10x - 3

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Answer:

$3530.3541

Step-by-step explanation:

Given that:

Principal = 2200

Interest rate compounded annually (r) = 3%

Time (t) = 16 years

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

A = 2200(1 + 0.03)^16

A = 2200(1.03)^16

A = 2200 * 1.60470643909878751793

A = $3530.3541

Hence, amount in account on his 16th birthday will be $3530. 3541

Answer:

4x-4

Step-by-step explanation:

6x- 2x=4x

-5+1=-4

4x-4

The estimate closest to an average​ person's weight is 80​kg

The weights are given as:

8 kg, 80 kg and 800 kg

To answer this question, I will assume that a person means an adult

An adult that weighs 8 kg is very much under weight

Because the average weight of a person is around 60 to 90 kg

Hence, the estimate closest to an average​ person's weight is 80​kg

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Answer:

x_n = x_(n-1) - 3

Step-by-step explanation:

x_n = x_(n-1) - 3

Take the previous number and subtract 3

Answer:

Just keep on adding 3

Step-by-step explanation:

10 + 3 = 13 + 3 = 16 +3 =19 + 3 = 22

The statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.

Given that a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65.

We are required to make a  statement about the relationship of price to number of roses per bouquet which is true.

If we observe each value then the coordinates will be (12,42) and (20,65).

Slope=(65-42/20-12)

=23/8

=2.875

Hence the statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.

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Answer:

x=1800

Step-by-step explanation:

The value of x for the given equation is 1800.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.

Given that, 3/540= 10/x.

Now, 1/180 = 10/x

⇒ 180/1 =x/10

⇒ x=180×10

⇒ x=1800

Therefore, the value of x for the given equation is 1800.

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Step-by-step explanation:

-4.25, -4, 3.95, -13/3, -14/3

Answer: [tex]M-x-\frac{z}{3}=y[/tex]

Step-by-step explanation:

[tex]M=x+y+\frac{z}{3}\\\\M-x-\frac{z}{3}=y[/tex]

Answer:

11 1/4

Step-by-step explanation:

9/2/4/10

9/2/2/5

9/2*5/2

45/4

11 1/4

Final Answer:

45/4

Step-by-step explanation:

9/2 ÷ 4/10

90/8 ⇒ 45/4

{11, 12, 13, 14}  is the set of whole numbers between ten and fifteen

This is further explained below.

Generally, An aliquot is the number zero, a positive natural number or a negative integer with a negative sign.

The additive inverses of the positive numbers that they relate to are represented by the negative numbers.

In conclusion, {11, 12, 13, 14}  is the set of whole numbers between ten and fifteen

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Answer:

ST= [-4 19 TS= [-12 -8

8 -18 ] while -25 -10 ] therefore :- multiplication of matrices is not commutative .

Step-by-step explanation:

multiplication of matrices 2x2

[ a b × [ w x

c d ] y z ]

[ a.w + b.y a.x + b.z

c.w + d.y c.x + d.z ]

Using scientific notation, it is found that this could be an approximation for:

A) 4,762,100,000 years.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

The number in this problem is:

[tex]5 \times 10^9[/tex]

Which means that it should have 10 digits, the equivalent to 5 plus the equivalents to the 9 zeros, with:

Hence the number that could be approximated is:

A) 4,762,100,000 years.

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By using the Pythagorean theorem, we conclude that the length of the segment is 3.2 units.

We want to find the length of the graphed segment. In the grid, we can see that the horizontal displacement between the two ends measures one unit, and the vertical displacement measures 3 units.

So the length can be tought as the hypotenuse of a right triangle whose legs measure one unit and 3 units.

By using the Pythagorean theorem, we can find that lenght L by.

L^2 = 1^2 + 3^2

Now, if we apply the square root in both sides we will get:

L = √(1^2 + 3^2) = √(1 + 9) = √10 = 3.2

We conclude that the length of the segment is 3.2 units.

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Answer:

slope = 1/4

Step-by-step explanation:

The slope of a line is defined by the rise (change in y-value)/run (change in x-value.  The change in y-value is 0 - (-2) = 0 + 2 = 2.  The change in x-value is -2 - (-10) = -2 + 10 = 8.  Therefore, the slope is 2/8 or (simplified) 1/4.