Answer:
3Step-by-step explanation:
We know that
n! = 1*2*3*...*nWe also know that
15 = 3*5Since 5! = 1*2*3*4*5 is divisible by 15:
any n! with n ≥ 5 is divisible by 15.We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.
The sum is:
1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33The remainder is:
33/15 = 2 rem 3As we see the remainder is 3
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
9. In the diagram below, Angle A is 50 degrees. What is angle B?
Answer:
130
Step-by-step explanation:
Angle B = 180 - Angle A
180 - 50 = 130
Answer:
The answer is 130 degrees.
Step-by-step explanation:
A+B should be 180, so with A being 50; B has to be 130.
i need help
https://hegartymaths.com/assessment
Answer:
It is a link or not??
Ann’s Trail Mix Recipe
5 cups oats
3 cups seeds
1 cup nuts
2 cups raisins
Find three equivalent ratios for the
ratio of nuts to oats
Answer:
5:1, 10:2, and 15:3
Step-by-step explanation:
Solve the equation for x
Answer:
B. x = -4
Step-by-step explanation:
- 7x - 35 = -7
add 35 to both sides
-7x = 28
Divde both sides by -7
x = -4
Answer: X = -4
Step-by-step explanation:
-7x - 35 = -7
-7x = -7 + 35
-7x = 28
x = -4
Expand the following logarithm:
[tex] log_{5}( \frac{ {x}^{2} }{y} )^{6} [/tex]
Answer:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
Step-by-step explanation:
we would like to expand the following
[tex] \displaystyle \log_{5}\bigg( \frac{{x}^{2}}{y} \bigg) ^{6} [/tex]
since we have a division of two different variable we can consider using division logarithm rule
[tex] \displaystyle \log_{5}( {x}^{2} {)}^{6} - \log_{5}(y) ^{6} [/tex]
use law of exponent:
[tex] \displaystyle \log_{5}( {x}^{12} {)}^{} - \log_{5}(y ^{6} )[/tex]
by exponent logarithm rule we acquire:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
and we are done!
(2m - 5m^3 ) - (5m + 3m^3- 7m^4 ) + (8 - 3m^3- 5m^4+ 4m)
Answer:
2m^4 - 11m³ + m + 8
Step-by-step explanation:
(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)
2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m
7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8
2m^4 - 11m³ + m + 8
Answer:
8 + m - 11m^3 + 2m^4
Step-by-step explanation:
Add and subtract like terms:
8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =
8 + m - 11m^3 + 2m^4
What is the value of x that makes the following equation true? You must show your work to get credit. (-2)^4x+2 / (-2)^2x = (-2)^12
Step-by-step explanation:
you will add the powers 4×+2=6×
then(-2)^6
after this,you will multiply the (-2)^6=(-2)^1274.55 divided by 5
I’m not sure of the answer I need some help
Answer:
14.91
Step-by-step explanation:
Have a good day :)
Answer:
The answer is 14.91
Step-by-step explanation:
To find the answer we must first see how many times 5 can go into 74.55. Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.
3x+5(2+x)=4x-7 help me out here?
Answer:
x = -17/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3x + 5(2 + x) = 4x - 7
Step 2: Solve for x
[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7[Addition] Combine like terms: 8x + 10 = 4x - 7[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17[Division Property of Equality] Divide 4 on both sides: x = -17/4Answer:
x=[tex]\frac{-17}{4}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+5(2+x)=4x−7
3x+(5)(2)+(5)(x)=4x+−7(Distribute)
3x+10+5x=4x+−7
(3x+5x)+(10)=4x−7(Combine Like Terms)
8x+10=4x−7
8x+10=4x−7
Step 2: Subtract 4x from both sides.
8x+10−4x=4x−7−4x
4x+10=−7
Step 3: Subtract 10 from both sides.
4x+10−10=−7−10
4x=−17
Step 4: Divide both sides by 4.
[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]
x=[tex]\frac{-17}{4}[/tex]
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a
4-foot wall?
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Step-by-step explanation:
Divide 4 by 1/4 to get your answer.
This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)
4 * 4 = 16
16 tiles will fit end-to-end along a 4-foot wall.
solve for x. please help
Answer:
Assuming it is a 90-degree angle, the answer is x=18.5
Step-by-step explanation:
Use the graph to write a linear function that relates y to x
Answer:
y=-4x
Step-by-step explanation:
Select 2 points, I will be using (-1,2) and (0,-2)
As you can see, for every x unit to the left, there are four y units down
The formation of the solar system
Step-by-step explanation:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.
Answer:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. It was gaseous, filled with billions of stars.
Mark me brainliestt :)) ehehe
The cumulative frequency table shows the heights (inches) of every student in Mrs. Torjman’s math class. What number should be written in the red box?
Answer:
The number 28 should be written in the red box.
Help me with the math
Answer:
See below
Step-by-step explanation:
[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]
[tex] m\angle 3= 90\degree[/tex]
[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]
[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]
What is the answer to: 8+(n-4)
Write a polynomial expression that has the following characteristics: The polynomial expression is a trinomial. The polynomial expression has degree 2. The leading coefficient is -5. 6
Answer:
[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]
Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spends 0.68 of her money and Rebecca spends 17/20 of her money. Who has the largest percentage of their money left?
Answer:
you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.
Step-by-step explanation:
Help please and thank you
Answer:
B is correct: 3x=40
Step-by-step explanation:
just cross multiply and mark brainliest if you feel like it :)
Answer:
3x =40
Step-by-step explanation:
3 will cross multiply with x then 4 will multiply 10
Hence 3x=40
PLEASE HELP ME!!!
Boyle's law is :
p1 v1 = p2 v2
what happens to the pressure of a container if the volume is doubled and the temperature is kept the same?
- impossible to determine with the info provided
- the pressure will increase
- the pressure will decrease
- the pressure will stay the same
Answer:
- the pressure will decrease
(volume is doubled ,the pressure reduced by half).
Step-by-step explanation:
P_1 V_1=P_2 V_2
This equation shows that, as volume increases, the pressure of the gas decreases in proportion.
Similarly, as volume decreases, the pressure of the gas increases.
Phillip helps his neighbors with various jobs. The table shows some jobs he did, the number
of hours he worked, and the amount he was paid. Is Phillip's pay proportional to the number
of hours he works?
Use the drop-down menus to explain your answer.
Job
Fixing a Fence
Pulling Weeds
Painting a Garage
Mowing a Yard
Hours Worked
5
4.5
6
1.5
Amount Paid ($)
75
54
78
18
Answer:
Is and his pay is always a multiple of 3
Step-by-step explanation:
I did the i-Ready
Answer: his pay is always a multiple of 3
Step-by-step explanation:
Find the percent of change.
A coat costs $250 and is on sale
for $100.
The percent of change in price is________
Answer:
150
Step-by-step explanation:
250 - 100
1. Calculate exactly;
(b) 3/4 + 2/3 + 4/5
I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS
Answer:
The Clubhouse and the Swimming Pool
Step-by-step explanation:
If you look closely the points are on the buildings. The X axis is left to right.
The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis
Answer:
club house and swimming pool
Step-by-step explanation:
club house and swimming pool both have an x-coordinate of 12.
NEED HELP QUICKLY TYSM IF U DO :)
What are the values of Limit of g (x) as x approaches 33 minus and Limit of g (x) as x approaches 33 plus?
Answer:
D
Step-by-step explanation:
find the product of (p+3q2)pq
Answer:
p²q + 3pq³
Step-by-step explanation:
(p + 3q²) pq ← multiply each term in the parenthesis by pq
= p²q + 3pq³
Name a pair of adjectives
An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the ratio of purple paint to red paint.
9514 1404 393
Answer:
2 : 1
Step-by-step explanation:
purple : red = (2/3) : (1/3) = 2 : 1
The ratio of purple paint to red paint is 2 : 1.
Answer:
Solution :-⅓ are red
So,
No. of red colors = 1/3 × 87 = 29
No. of purple colors = 2/3 × 87 = 2 × 29 = 58
So,
Ratio = 58:29
Ratio = 2:1
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