Hey there! Welcome to Brainly! I'm happy to help!
In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!
Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.
5·x=110
What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.
We want to get the x all by itself on one side of the equation. Then, we will see what x equals.
To do this, we use inverse operations. I will show you below with our 1+x=2 example.
1+x=2
We have a positive one plus an x equals two. We could visualize this like this.
+1+x=2
What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!
However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.
So, let's subtract 1 from both sides.
+1+x-1=2-1
x=1
We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.
Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!
5x÷5=110÷5
x=22
We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!
Have a wonderful day!
The coordinates of the vertices of a rectangle are given by R(- 3, - 4), E(- 3, 4), C (4, 4), and T (4, - 4). A. Use the Pythagorean Theorem to find the exact length of ET. B. How can you use the Distance Formula to find the length of ET? Show that the Distance Formula gives the same answer.
Answer:
see explanation
Step-by-step explanation:
Pythagorean Theorem
7² + 8² = x²
49 + 64 = x²
113 = x²
x = √113 or 10.63
Distance Formula
√(-4 - 4)² + (4 - -3)²
= √8² + 7²
= √113 or 10.63
Write the first five terms of the arithmetic sequence.
Answer:
a1 = 4
a2= -2
a3 = -8
a4= -14
a5= -20
Step-by-step explanation:
a12= a1 + 11d
-62 = 4 + 11d
-62-4 = 11d
-66= 11d
d = [tex]\frac{-66}{11}\\[/tex]
= -6
a1 = 4
a2 = 4 - 6 = -2
a3 = 4 - (6×2) = -8
a4 = 4 - (6×3) = -14
a5 = 4 - (6×4) = -20
I need to know if the following questions are true or false
Answer:
False
Step-by-step explanation:
To find <A, we can do 5x - 80 = 3x + 20.
As we simplify, we will get 2x = 100, which is x = 50
Therefore, <A will be 50 degrees and not 45 degrees.
Also, if you need y, you can do:
3y - 7 = y + 7
2y = 14
y = 7
F(-2) for f(x) =5•3^x
Answer:
5/9
Step-by-step explanation:
f(x) =5•3^x
Let f = -2
f(2) =5•3^-2
= 5 * 1/ 3^2
= 5 * 1/9
= 5/9
Step-by-step explanation:
F(-2) for f(x) =5•3^x
Then, replace x by - 2
F(-2)=5•3^-2 (RULE= 3^-2 = 1/3^2)
[tex] = 5. \frac{1}{ {3}^{2} } [/tex]
[tex] = 5 . \frac{1}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
Hope this helps..have a great day!
A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tall
How many gallons of water are needed to fill the waterbed?
Assume i gallon is 013 cu ft. Round to the nearest whole galon
Hey there! I'm happy to help!
We want to find the volume of this rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.
7×5×1=35 cubic feet
Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.
[tex]\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}[/tex]
In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.
0.13g=35
We divide both sides by 0.13/
g≈269.23
When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.
I hope that this helps! Have a wonderful day! :D
Answer:
Step-by-step explanation:
Since the waterbed is rectangular, its volume would be determined by applying the formula for determining the volume of a cuboid which is expressed as
Volume = length × width × height
Therefore,
Volume of waterbed = 7 × 5 × 1 = 35 cubic feet
1 US gallon = 0.133680556 cubic feet
Therefore, converting 35cubic feet to gallons, it becomes
35/0.133680556 = 261.81818094772 gallons
Rounding up to whole gallon, it becomes 262 gallons
Find the lateral area of the prism.
Answer:
576"
Step-by-step explanation:
AL=ph
AL= (4*12)12
AL= 48*12
AL=576"
15 POINTS+BRAINLIEST (Hurry now) A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train?
Answer:
speed=3.33m/s
Step-by-step explanation:
speed= distance÷time
3.33 m/s
length = ?
Answer:
Length : 50m
Speed : 5 m / s
im sorry if im too late :'(
Find the circumference of the circle with the given radius or diameter. Use - 3.14.
diameter = 19 m
A. 29.83 m
B. 283.39 m
C. 59.66 m
D. 1,133.54 m
Answer:
C) 59.66 m
Step-by-step explanation:
C = pi d
in this case, d=19
so, when you solve, with a negative pi, you get somewhere around 59.66.
because -3.14 times 19 equals 59.69, which is closest to c.
Find the area between the graph of f of x equals the product of x squared and e raised to negative 1 times x cubed power and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.
If [tex]f(x)=x^2e^{-x^3}[/tex], then the area between the graph of [tex]f(x)[/tex] and the x-axis for non-negative x is given by the integral,
[tex]\displaystyle\int_0^\infty x^2e^{-x^3}\,\mathrm dx[/tex]
Let [tex]u=-x^3[/tex] and [tex]\mathrm du=-3x^2\,\mathrm dx[/tex]; then the integral is equivalent to
[tex]\displaystyle-\frac13\int_0^{-\infty}e^u\,\mathrm du=\frac13\int_{-\infty}^0e^u\,\mathrm du=\frac13\left(1-\lim_{u\to-\infty}e^u\right)=\boxed{\frac13}[/tex]
Question 2 of 9
Enter the correct answer in the box.
What is the factored form of this expression?
x2 + 6x - 16
Substitute numerical values into the expression for p and q.
(x + p) (x +9)
Answer:
x^2 + 6x - 16
=x^2 + ( 8-2 )x -16
=x^2 + 8x - 2x -16
= X(X+8) -2(X+8). ( Taking common from term 1 and 2 and then from 3 and 4)
= ( X+8 ) ( x-2 ) ( Taking common from term 1 and 2).
so, this is the factored form of the expression x^2 + 6x - 16.
Answer:
1.(x-2)(x+8)
Step-by-step explanation:
1.x2+8x-2x-16
=×(x+8)-2(x+8)
=(x-2)(x+8)
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
Answer:
Hey there!
We can solve this by multiplying 0.3 by 546, which is about 164.
Hope this helps :)
Explanation: Set up your equation as you read through the problem.
"What" means x, "is", equals, "30%", 30/100, "of", times, "546", 546.
So our equation reads x = 30/100 · 546.
Simplifying on the right side of the equation,
we can reduce 30/100 to 3/10.
So we have x = 3/10 · 546.
Now multiply across the numerators and denominators to get 1638/10.
This reduces to 819/5 which can be written as 163.8.
72 students choose to attend one of three after school activities: football, tennis or running. There are 25 boys. 27 students choose football, of which 17 are girls. 18 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:
3/8
Step-by-step explanation:
There are 72 students. 27 students choose football, and 18 choose tennis, which means 27 choose running.
So the probability that a student chooses running is 27/72, which reduces to 3/8.
7 times the difference between m and 8
Answer:
7(m-8)
Step-by-step explanation:
We are given: 7 times the difference between m and 8
We want to write an expression. Let’s begin with “the difference between m and 8”.
Difference means subtraction. Therefore, we must subtract m and 8.
(m-8)
Now, let’s add on “7 times”
Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.
7(m-8)
Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)
Answer:
7(m-8)
Step-by-step explanation
7 times the difference between m and 8 = 7*(m-8)
First, we know that difference, in a mathematical term, means subtraction, and “times” Means multiplication.
But, since it says,” difference between m and 8”, we must put those in parentheses, so we know that it is m-8, not 7*m.
so, therefore you have 7*(m-8), or 7(m-8)
from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building
Answer:
14.29cm
Step-by-step explanation:
Height of the building=10cm
Angle of depression=60°
We are therefore asked to find the distance from the stone to the
the foot of the building;Therefore we use Tan ratio which is opp/adj;
Let the distance from the stone to the foot of the building be x;
10/x=Tan60°
10/x=1.7/1
We then cross multiply to get 1.7x=10
x=10/1.7
=10*10/1.7*10
=100/17
=14.29cm.
Solve : 1 − | 0.2(m−3)+ 1/4| =0
Answer:
1-{0.2(m-3)+¼}=0
1{0.2m-0.6+¼}=0
1-{(0.8m-2.4+1)/4}=0
1-(0.8m-1.4)/4=0
lcm
(4-0.8m-1.4)/4=0
(2.6-0.8m)/4=0
cross multiply
2.6-0.8m=0
m=2.6/0.8
m=3.25
The solution of the expression are,
⇒ m = 3.25
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ 1 - | 0.2 (m - 3) + 1/4 | = 0
Now, We can simplify as;
⇒ 1 - | 0.2m - 0.6 + 1/4| = 0
⇒ 1 - |0.2m - 0.6 + 0.25| = 0
⇒ 1 - |0.2m - 0.35| = 0
⇒ 1 = 0.2m + 0.35
⇒ 1 - 0.35 = 0.2m
⇒ 0.2m = 0.65
⇒ m = 3.25
Thus, The solution of the expression are,
⇒ m = 3.25
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
What is the input value other than -7, for which h (x) = 3?
Answer:
x=5
Step-by-step explanation:
h (x) = 3
We want the x values where y =3
The values are x = -7 and x=5
someone please do this like literally please
Answers:
sin a=12/15=4/5
step by step explanation:
AB=9, and BC=12
find c: hyp.=√12²+9²=c²
c=15
sin a=opp/hyp.=12/15=4/5 ( convert to degrees)
a=41.10
evaluate the function to find three points f(0)=
Answer:
f(0) = 0
Step-by-step explanation:
f(x) = -sqrt(x)
Let x= 0
f(0) = -sqrt(0)
f(0) = 0
Value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
What is function?" A function is defined as the relation between the given variable represents set of all input value should have one output each."
According to the question,
Given function,
[tex]f(x) = -\sqrt{x}[/tex]
Substitute the different values for 'x' for the given function we get,
[tex]x=1 , f(1) = -\sqrt{1}[/tex]
[tex]=-1[/tex]
[tex]x=4 , f(4) = -\sqrt{4}[/tex]
[tex]=-2[/tex]
[tex]x=0, f(0) = -\sqrt{0}[/tex]
[tex]=0[/tex]
Therefore, given relation is a function.
Hence, value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
Learn more about function here
https://brainly.com/question/12431044
#SPJ2
7.
The area of this parallelogram is 120 ft. Find the value of h.
1
20 ft
12 ft
3 ft
15 ft
6 ft
Answer:
h = 6 ft.Step-by-step explanation:
area = base x height
where base = 20 ft.
height = ?
area = 120 ft²
plugin values into the formula
120 = 20 x height
height = 120
20
height = 6 ft.
Need steps to 1/r+s=1/t than s=
Answer:
s = 1/t - 1/r
Step-by-step explanation:
1/r+s=1/t
Subtract 1/r from each side
1/r - 1/r+s=1/t- 1/r
s = 1/t - 1/r
Answer:
[tex]\huge{\boxed{s=t-r}}[/tex]
Step-by-step explanation:
if
[tex]\dfrac{1}{r+s}=\dfrac{1}{t}\qquad\text{cross multiply}\\\\(1)(t)=(1)(r+s)\\\\t=r+s\qquad\text{subtract}\ r\ \text{from both sides}\\\\t-r=r-r+s\\\\t-r=s\to\boxed{s=t-r}[/tex]
4 divided by 54.40
[tex]4 \div 54.40 = [/tex]
Gabrielle's age is three times Mikhail's age. The sum of their ages is 92. What is Mikhail's age?
Answer:
Gabrielle is 69 while Mikhail is 23.
Step-by-step explanation:
Let G represent Gabrielle's age and M represent Mikhail's age.
Gabrielle is three times Mikhail's age. In other words:
[tex]G=3M[/tex]
The sum of their ages is 92. In other words:
[tex]G+M=92[/tex]
This is a system of equations. Solve. Substitute in G:
[tex]G+M=92\\(3M)+M=92\\4M=92\\M=23[/tex]
Thus, Mikhail is 23. Now, find Gabrielle's age:
[tex]G=3M\\G=3(23)\\G=69[/tex]
Gabrielle is 69.
Type the correct answer in each box. Use numerals instead of words. Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits on the website for 5 weeks is given in the table below. Number of Weeks Avg. Number of Visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 The initial number of visits to the website was . The percent decrease from 4th week to 5th week was %. The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was
Answer:
48,00050%1500Step-by-step explanation:
The table is easier to read if formatted more like a table:
Number of Weeks Avg. Number of Visits
0 48,000
1 24,000
2 12,000
3 6,000
4 3,000
5 1,500
__
The initial number of visits to the website was 48,000. -- the value for week 0.
The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%
The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)
Explaining Graphs of Functions
Explain how to use a graph of the function f(x) to
find f(3)
h
Answer:
please, check the explanation.
Step-by-step explanation:
Hello, I can help you with this
using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
I hope it helps , Have a nice day
Answer: look in the explanation this is the exact sample responce on ed2020 change it into your own words
Step-by-step explanation:
For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Construct a 99% confidence interval of the population proportion at the given level of confidence. x=240, n=300 the lower bound is? the upper bound is?
Answer: lower bound = 0.7404; upper bound = 0.8596
Step-by-step explanation:
The proportion p for this population:
p = [tex]\frac{240}{300}[/tex]
p = 0.8
Confidence interval for proportion is calculated as:
p ± z-score.[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Z-score for a 99% confidence interval is: z = 2.58
Calculating:
0.8 ± 2.58.[tex]\sqrt{\frac{0.8(0.2)}{300} }[/tex]
0.8 ± 2.58.[tex]\sqrt{0.00053}[/tex]
0.8 ± 2.58(0.0231)
0.8 ± 0.0596
This means that the lower limit of this interval is 0.7404 and upper bound is 0.8596
Can u help me plz thank u
Answer:
A. Neither Sneha nor the credit card company owes money
Step-by-step explanation:
A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute
1 minute = 60 seconds
15 seconds /60 = 0.25 minutes.
Total time in minutes is 4.25
Divide total copies by total minutes:
153 / 4.25 = 36 copies per minute
Answer:
[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]
Step-by-step explanation:
[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]
[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]
[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]
[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]
[tex]\displaystyle \frac{153}{4.25} =36[/tex]
[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is nothing. (Round to three decimal places as needed.)
Answer:
7 out of 8
Step-by-step explanation:
heads gets tossed and there's only 6 numbers to choose from on the die
Answer: =0.375
Step-by-step explanation:
Actually we have to find the probability that both events will happened.
1st event the coin will be turned by a head P(head).
2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)
Both events do not depend from each other. So the resulted probability
can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)
P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.
P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.
P(a>2)=6/8=3/4=0.75
P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)
WILL GIVE BRAINLIEST!!!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes.
b. How many 1×1×1 cubes are completely unpainted?
c. How many 1×1×1 cubes have exactly two faces painted?
Answer:
b.27 c. 36 (THIS ANSWER IS CORRECT....IM IN RSM ;)
Step-by-step explanation:
The bottom one is for b.
Okay now for c. Lets first think about every cube that has two faces painted. all the cubes on the edges right? So that would be 5*12=60 but that isn't the answer because the problem stated EXACTLY two faces. That means every cube on a vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guide lines on each edge and there are 12 edges. So your answer would be 3*12=36!
You can do it simply by seeing that the outer cubes will have their upper surfaces painted and thus 5*5 squares for each outer surface which will leave a cube with 3×3×3 dimensions. It is 3*3*3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. So the length width and height will all end up as 5-2=3. Its kind of hard to explain and i suggest you draw it out if you don't understand...
The number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes have exactly two faces painted. is 36.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
b. BY looking that the outer cubes will have their upper surfaces painted and thus 5 x 5 squares for each outer surface which will leave a cube with 3×3×3 dimensions.
It is 3 x 3 x 3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. The length width and height will all end up as 5-2=3.
c. Let's first think about every cube that has two faces painted. So that would be 5x 12=60 but that isn't the answer because the problem stated exactly two faces.
That means every cube on vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guidelines on each edge and there are 12 edges.
The number is calculated as:-
N = 3x 12=36
Hence, the number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes has exactly two faces painted. is 36.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
Name x1, x2, y1 and y2. Then, find the distance between the points.
Answer:
(5,6), (-2,8)
Step-by-step explanation:
I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne