number added to the difference between triple the number and thirteen Translate into a variable expression. (Use x for your variable. Do not simplify.)

Answer:

1

Step-by-step explanation:

Simplify the following:

(44×10)^0

Hint: | Simplify (44×10)^0 by distributing exponents over products.

Multiply each exponent in 44×10 by 0:

Answer: 1

any number to the zero power always gives a one

Answer:

there are 2 solutions in total

Step-by-step explanation:

x^2-4=0

x^2=4

x= ±2i

Answer:

x=±2

Step-by-step explanation:

x²-4=0

x²-2²=0

(x+2)(x-2)=0

either x+2=0,x=-2

or x-2=0,x=2

Answer:

For me i got this.  A) = 16.846mg B) 24 days I am also in summer school for toronto schoolboard.  I used the formula like how it said so should be good.

Step-by-step explanation:

A)

[tex]P(t) = Po(2)x^\frac{t}{d} \\=5(2)^\frac{7}{4} \\=16.817mg[/tex]

B)

[tex]320=5(2)^\frac{t}{4}\\ 64=2^\frac{t}{4}\\2^6=2^\frac{t}{4}\\6=\frac{t}{4}\\(4)6=t \\t=24 days[/tex]

-25 + 15 = -10

1 - 13 = -12

-1 divided by 5 = -1/5

-5 multiplied by -1/5 = 1

The bold ones are the answers

Answer:

Step-by-step explanation:

1) n+15=10

     solution;

n+15= -10

so, n= -10 -15

      n= -25

2) n-13= -12

        solution;

remember the rule i told you in number 1 that's the same rule we will use here

n= -12+ 13

n=1

you see so easy... lets continue

3) n\5= -1\5

now in this one there is a new rule which is; when you see two fractions and there is an equal two in between them you cross multiply... okay lets solve

n\5= -1\5

-1*5=n*5

the reason why i exchanged was because the unknown should always be at the left hand side....okay

n*5=-1*5

5n/5= -5/5

5 will divide 5 which is remaining n

5 divide 5 which is -1

so n = -1

4) -5n =1

 this is not a fraction so we just take the -5 to 1 and no cross multiplication (they are whole numbers so they meet each other)okay...

so, n=1/-5

Answer:

Next 3 terms 031, N30, D31

Step-by-step explanation:

J30, J31, A31, S30

The above series represent the

first letter of the month and the days in it

J30= June which have 30 days

J31= July which has 31 days

A31= August which have 31 days

S30= September which have 30 days

30 days hath September, April, June and November. All the rest have 31 except February alone which has but 28 or 29 days

The next 3 terms of the series J30, J31, A31, S30 are 031, N30, D31

Answer:

13 y^2 - 13 y + 11

Step-by-step explanation:

Simplify the following:

15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7

Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):

(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)

15 y^2 - 2 y^2 = 13 y^2:

13 y^2 + (-15 y + 2 y) + (7 + 4)

2 y - 15 y = -13 y:

13 y^2 + -13 y + (7 + 4)

7 + 4 = 11:

Answer: 13 y^2 - 13 y + 11

Answer:

Step-by-step explanation:

Area of parallelogram= base * height

Answer:

A= L × W

or

A = S × S

Step-by-step explanation:

A parallelogram are shapes with 4 sides. To find its area, we must do the following formula.

(For rectangle, etc...)

Area = Length × Width

A represents Area

L represents Length

(For a square)

Area = Side × Side

A represents Area

S represents Side

Always remember that the answer of a question that is looking for the area of a 2D shape is always squared. (Let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's wrong or too complicated.

Answer:

#2 y=3/2x-3 #4 y=3/1x-5

Step-by-step explanation:

y=mx+b

b=y-intercpet

where on the why axis does it touch?

m=slope

rise over run

slants right positive

slants left negative

Answer:

2.8, 4.6, 7, 17

Step-by-step explanation:

Answer:2.8,4.6,7,17

Step-by-step explanation:So you see the decimal you find the smallest number that is a decimal and that is your least decimal. And then you find the next smallest number and keep going up to the biggest number on the least to greatest.

Answer:

p = -2, r = -2 and p-r =  0.

Step-by-step explanation:

(x - 1/2)(x - 2)

= x^2 - 2x - 1/2x + 1

= x^2 - 5/2x + 1

= 2x^2 - 5x + 2

= -2x^2 + 5x - 2

Comparing this with

px^2 + 5x + r

we see that  p = -2, r = -2 and p-r =  0.

Answer:

B

Step-by-step explanation:

A] You download 2 songs.

B] You download 2 movies.

C] You download 1 song and 1 movie.

D] You don't have enough money for 2 downloads.

x= number of movies downloaded

g(x) = total cost in dollars.

From g(x)=x

There is a slope of 1

That is, the movies cost $1 per movie.

It is a proportional relationship because of the absence of y-intercept

f(x) has a slope of (1/2) and y-intercept $2

f(x) = (1/2)x + 2 is the function for the cost of downloading music.

When we get to 3 downloads,

f(3)=g(3) and above, music downloads will be cheaper because they only cost 1/2 dollar for each additional movie compared to $1 for each movie.

For 2 movie downloads

we have,

f(2)=3

g(2)=2

So, downloading two movies will be cheaper.

One of each costs $1 + $2.50,

more than either of the other choices.

Answer:

(14, 5)

Step-by-step explanation:

1. substitute- (x,y)=the original coordinates (9,9) right?

2. So no you want to do x, you have 9 and if you are moving right 5 units it'll be 9+5 because x is left to right on a graph.

9+5=14 therefore (14,y)

3. Now you do y, y is up and down. So you want to go down 4, you subtract 4 from 9 giving you five. Now you have (14,5)

Hope I could help! :)

Answer:

Options (1), (2) and (3) will be the correct options.

Step-by-step explanation:

Graph of the quadratic parent function has the following characteristics.

1). It is represented by the equation, y = x²

2). It is a parabola.

3). Graph of the given parabola passes through origin.

4). Graph will be symmetrical in two quadrants, I and II.

By these properties,

Options (1), (2) and (3) will be the correct options.

Answer:

A, B, C are the answers.

Step-by-step explanation:

Answer:

There are no triangles given, so I will explain what congruent triangles are.

Step-by-step explanation:

Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.

Consider the following conditions for two triangles:

- Two angles and corresponding side, of the two triangles are equal

- Two sides and angle between the two triangles are equal

- Hypotenuse and Leg of two right angled triangles are equal.

If all these conditions are met for any two triangles, they are said to be congruent.

Answer: x=24

Step-by-step explanation:

step 1: remove parenthesis  x+x+1+x+2=75

step 2: collect like terms 3x+3=75

step 3: move the constant to the right side of equation 3x=75-3

step 4: subtract 3x=72

step 5: divide both sides by three to get x by itself x=24

the answer is (-9,-7) it flips into the 3rd quadrant.

Answer:

(400-x) / 3

Step-by-step explanation:

Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies. Write your answer as an expression

Solution

Total chocolate chips Savannah has=400

Saved chips for garnish =x

Total chocolate chips remaining= 400 - x

We subtract the saved chocolate chips because when an item is saved, it will be deducted from the original Quantity

She mixed the rest of the chocolate chips evenly into 3 pans of brownies

That is,

Remaining chocolate chips (400 - x) is mixed evenly into 3 pans of brownies

(400 - x) / 3

Therefore, the answer is given by the expression:

(400-x) / 3

Answer:

c.

Step-by-step explanation:

Answer:

The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (2, - 5) into the partial equation

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = - 3x + 1 → D

The equation of the line is y=-3x+1. Therefore, option D is the correct answer.

Given that, the coordinate point is (2, -5) and the slope m is -3.

The equation of a line can be written many different ways, and each of these ways is valid. The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

Put (x, y)=(2, -5) and m=-3 in y=mx+c, we get

-5 = (-3)(2) + c

⇒ c = 1

Substitute m=-3 and c=1 in y=mx+c, that is

y=-3x+1

The equation of the line is y=-3x+1. Therefore, option D is the correct answer.

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Answer:

7.33333333333

Step-by-step explanation:

3x - 7 = 15

3x = 15 + 7

3x = 22 (divide both sides by 3 to get x)

3x/3 = 22/3

x = 7.33333333333

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

Step-by-step explanation:

[tex]3x+7=15\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\\3x+7-7=15-7\\\\Simplify\\\\3x=8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{8}{3}\\\mathrm{Simplify}\\\\x=\frac{8}{3}[/tex]

Answer:

A.

Step-by-step explanation:

This is a geometric sequence with common ratio -12/-3 = 4  ( -48/-12  = 4 and  -192 / -48 = 4).

nth term = a1 r^(n - 1) so the 8th term

= -3 * (4)^(8 - 1)

= -49,152.

The 8th term of the geometric sequence is -768

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Formula for the n th term of a geometric sequence in the form

aₙ=a₁ rⁿ

Given sequence is   -3, -12, -48, -192, . . .

It is a geometric sequence with the ratio between consecutive terms is 4

i.e. r = 4

a₁ = -3

a₈ = -3 ×4⁸

   =-768

Thus the 8th term of this sequence is -768

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Answer:

a = 0

Step-by-step explanation:

a + 5 = -5a + 5      subtract 5 from both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a                add 5a to both sides

a + 5a = -5a + 5a

6a = 0                 divide both sides by 6

6a / 6  =  0 / 6

therefore,

a = 0

Answer:

1). Rational

2). Irrational

3). Rational

4). Rational

5). Irrational

Step-by-step explanation:

To solve this question we should follow the rule,

"Addition of rational and an irrational number is an irrational number."

1). [tex]\sqrt{16}=4[/tex] (rational number)

   [tex]-\frac{21}{5}[/tex] (negative rational number)

   [tex]\sqrt{16}-\frac{21}{5}=4-\frac{21}{5}[/tex]

                  [tex]=-\frac{1}{5}[/tex] [rational number]

2). π → (Irrational number)

   24 → (rational number)

   π + 24 → (Irrational number)

   Since addition of a rational and an irrational number is an irrational number.

3). [tex]\sqrt{4}[/tex] = 2 (rational number)

     5 (rational number)

    2 + 5 = 7 (rational number)

4). [tex]\sqrt{36}=6[/tex] (rational number)

   [tex]\sqrt[3]{27}=3[/tex] (rational number)

    [tex]\sqrt{36}+\sqrt[3]{27}=9[/tex] (rational number)

5). [tex]\frac{3}{4}[/tex] (rational number)

   [tex]\sqrt{27}[/tex] → (Irrational number)    

   [tex]\frac{3}{4}+\sqrt{27}[/tex] → (Irrational number)

Word Forms

40,000=forty thousand

600=six hundred

8=eight

0.9=zero and nine tenths

100,000=one hundred thousand

70,000=seventy thousand

5,000=five thousand

300=three hundred

80=eighty

0.4=zero and 4 tenths

Figure Forms

40,000=400 squares (hundreds)

600=6 squares (hundreds)

8=8 little squares (ones)

0.9=9 lines (tenths)

100,000=100 squares (hundreds)

70,000=70 squares (hundreds)

5,000=50 squares (hundreds)

300=3 squares (hundreds)

80=8 lines (tens)

0.4=4 lines (tenths)

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

A. Plane B because it was 9.33 miles away

B. 48 units

Step-by-step explanation:

A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.

So for airplane A with 44° angle of departure,

sin44° = y/h where y = height above the ground and h = distance from airport

So h = y/sin44° = 6/sin44° = 8.64 miles

So for airplane B with 40° angle of departure,

sin40° = y/H where y = height above the ground and H = distance from airport

So H = y/sin40° = 6/sin40° = 9.33 miles

Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.

B. We know that scale factor = new size/original size

Our scale factor = 4 and original size = 12 units. So,

new size = scale factor original size = 4 × 12 = 48 units.

Answer:

896 in.^3

Step-by-step explanation:

Find the volume of each prism, and add the two volumes together.

V = BH

Upper prism:

Vupper = (1/2)bhH = (1/2)(6 in.)(12 in.)(14 in.)

Vupper = 504 in.^3

Lower prism:

Vlower = (1/2)bhH = (1/2)(7 in.)(8 in.)(14 in.)

Vlower = 392 in.^3

Volume = Vupper + Vlower

Volume = 504 in.^3 + 392 in.^3

Volume = 896 in.^3

Answer: 896 ci

Step-by-step explanation:

Answer:

actual length = 171.67 ft.

Step-by-step explanation:

scale of school bus drawing is 12 in. to 5 ft.

if the length of a school bus drawing is 412 in.

                                                     5 ft

the actual length is    = 412 in x --------

                                                     12 in

actual length = 171.67 ft.

The required actual length of the bus is 171.7 feet.

Given that,
A scale drawing of a school bus has a scale of 12 inches to 5 feet.
The length of the school bus is 412 inches on the scale drawing,
To determine the actual length of the bus.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
Scale given,
12 inches = 5 feet
1 inch = 5 / 12 feet
Now on the drawing, the length of the bus is 412 inches,
Now,
the actual length of the bus is,
= 412 * 5 / 12
= 171.7 feet

Thus, the required actual length of the bus is 171.7 feet.

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Answer:

f(-2) = 4

Step-by-step explanation:

The function has three definitions depending on the value of x.

You are looking for the value of the function at x = -2.

-2 is in the interval x <= -1, which is the first line of the definition of the function.

We use the first line of the definition of the function.

f(x) = -2x for x <= -1

f(-2) = -2(-2) = 4

Answer: f(-2) = 4

Answer:

SJ + JH = SH or SH = SJ + JH

Step-by-step explanation:

If J belongs to segment SH, then we know that SJ + JH = SH.