Answer:
x = 17
Step-by-step explanation:
4x + 7 = 75 (as the 2 angles are interior alternate angles)
4x = 75 - 7 = 68
x = 68/4 = 17
Answer:
x = 17
Step-by-step explanation:
4x + 7 = 75 (as the 2 angles are interior alternate angles)
4x = 75 - 7 = 68
x = 68/4 = 17
please help me with this!
Answer:
1/2 - 1/8= 4/8 - 1/8= 3/8
Step-by-step explanation:
hope this helps
How do I write 780,000 in scientific notation.
I’m having finals and I need lots of help pls explain how u got it answer
the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say
78 and 4 zeros following it
or we can say
78 * 10⁴, if we get that product, is 780000
in scientific notation, we only leave one digit to the left of the decimal point
so the same thing above can be written as
78 * 10000, can be written as 78.0 * 10000
or as
7.8 * 100000
or as
0.78 * 1000000
check their product
7.8 * 100000, is really just 780000
because we moved the decimal to the left one more slot, it
became 7.8 * 100000
or in
scientific notation, 7.8 ⨉ 10⁵Answer:
780,000 [tex]=7.8 * 10^5[/tex]
Step-by-step explanation:
Don't worry! I hope you do great on your finals, goodluck<3.
What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:[tex]a * 10^{b}[/tex]
Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below
1 ≤ | a | < 10
Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.
[tex]7.8 * 10^b[/tex]
Assuming you know how powers work, if not I'll go over them very quickly.
What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.For example 8² = 8 * 8, 8³ = 8 * 8 * 8.
To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..
It's pretty obvious that our number is in the 100 thousands place.
Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.
remember the equation:
[tex]7.8 * 10^b[/tex]
We are trying to find b.
10 to what power is equal to 100,000
[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]
How I like to remember what a power equals is counting the 0's :)
How we know if our answer is correct is plugging it into our equation and solve:
[tex]7.8 * 10^5[/tex]
We know that 10 to the power of 5 equals 100,000.
[tex]7.8 * 100,000[/tex]
and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000
Travis is cutting strips of paper for a project. He needs strips that are 114 inches wide. He cut his first strip too wide. His percent error was 10%. How wide did Travis cut the strip of paper? Enter your answer as a mixed number in simplest form in the box.
Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
The length Travis needs to cut = 114 inches
Percent of error = 10%
Let's assume he cuts x inches wide strip
So from the percent of error formula:
[tex]\rm \dfrac{x-114}{114} = \dfrac{10}{100}[/tex]
[tex]\rm x = \dfrac{114}{10}+114[/tex]
[tex]\rm x = \dfrac{1254}{10}\Rightarrow \dfrac {627}{5}[/tex] or
[tex]\rm x = 125\dfrac{2}{5} \ inches[/tex]
Thus, Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches
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Answer:
it’s 1 3/8 I don’t know what dude it’s talking about
Step-by-step explanation:
A movie complex is showing three action films and three comedy films. you randomly select two different films to watch. find the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first.
the probability is ____%
show all work
Considering the definition of probability, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Definition of probabilityProbability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.
Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:
P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)
Probability in this caseIn this case, you know:
Number of action films= 3 filmsNumber of comedy films= 3 filmsTotal number of films = 6 filmsThe probability that the first movie selected is an comedy movie and the second movie is a action film.
Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.
Then, the probabilty can be calculated A:
Probability= [tex]\frac{3}{6}[/tex]× [tex]\frac{3}{5}[/tex]
Probability= 0.3= 30%
Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
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explain why the sum of two angles of any triangle always equals the exterior angle of the third.
Answer:
they are congruent
Step-by-step explanation:
b because a same size
Giving brainiest ~ please helpp ^^
hope this helps :)
...........
Answer:
The volume of this composite figure is 312 cubic inches.
Step-by-step explanation:
Volume of pyramid:
[tex] \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60[/tex]
Volume of rectangular prism:
[tex]12(3)(7) = 252[/tex]
Volume of composite figure:
[tex]60 + 252 = 312[/tex]
For the function, f(x) = 4x² − 7x + 13, find the value of f(-2).
43
29
15
4
Answer: 43
Step-by-step explanation: subsitute -2 into x
4(-2)^2 - 7(-2) + 13 = 43
PARALLEL LINES
Find x and y.
Pleaseee helppp???????
Answer:
240
Step-by-step explanation:
see photo for solution
Solve the formula V = b²h fo O A. b = VЗV - h О в. b - V D 3V Ось = √ву OD. b = √3Vh D for b.
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
(7/12+1/3)−(1/2+2/8) simplified
Answer:
22/24-18/24
Step-by-step explanation:
Convert each low number to the factor
1/3 * 4 = 4/12 which has the same denomanator as 7/12
And the same for 1/2 * 4 = 4/8 which has the same denominator as 2/8
Then you add both with both,
Next you convert both of them to the same denominator and the closest number will be 24 then yousubtract and voila.
Question:
(7/12+1/3)−(1/2+2/8)
Answer:
Fraction Form:
1/6
Decimal Form:
0.16
Hope this helps.
The graph of which equation is shown below?
Please answer quickly!!!
The formula for the area of a trapezoid is A = /h(b₁ + b₂). Which equations are
equivalent to the formula?
2A
Oh
b₁+ b₂
2A
0b₁ = ²4-b₂
2A
0_b₂ = 24-h
b₁
=
Answer:
Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation. A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area of the field is 7725 square feet.
Step-by-step explanation:
The equivalent equations of the trapezoid are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The formula for the area of a trapezoid can be rearranged in different ways to express the same relationship between the height, the bases, and the area.
Here are a few equivalent equations:
h = 2A / (b₁ + b₂) (solve for h)
b₁ = 2A / h - b₂ (solve for b₁)
b₂ = 2A / h - b₁ (solve for b₂)
A = (b₁ + b₂) x h / 2 (multiply both sides by 2 and divide by h)
These equations can be used interchangeably to calculate the area, height, or base of a trapezoid, depending on which variables are known or given.
Thus,
The equivalent equations are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
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The given sphere has a radius of 2 inches. a sphere with radius of 2 inches. what happens to the volume if the radius is doubled? the volume of the new sphere is times larger than the volume of the original sphere.
Answer:
8 times larger than original
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³
when r = 2 , then
V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8
when r is doubled , that is r = 4 , then
V = [tex]\frac{4}{3}[/tex]π × 4³ = [tex]\frac{4}{3}[/tex]π × 64
64 is 8 times larger than 8
then new sphere is 8 times larger than original sphere
Answer:
8 times
Step-by-step explanation:
Russ walks 710 mile to school. How far has he walked when he has covered 58 of the distance to school?\
Answer: [tex]\frac{7}{16}[/tex]
Step-by-step explanation: Distance to school = [tex]\frac{7}{10}[/tex] mile
Distance covered = [tex]\frac{5}{8}[/tex] of [tex]\frac{7}{10}[/tex]
= [tex]\frac{5}{8}[/tex] x [tex]\frac{7}{10}[/tex]
= [tex]\frac{35}{80}[/tex]
= [tex]\frac{7}{16}[/tex]
what is the rate of change of the linear function that has a graph that passes through the points (-5, -2) and (-2, 6)
The rate of change of the linear function whose graph passes through points (-5, -2) and (-2, 6) is: 2.7.
What is the Rate of Change of a Linear Function?The rate of change of a linear function is given as change in y over change in x.
Given the points:
(-5, -2) and (-2, 6)
Change in y = 6 -(-2) = 8 units
Change in x = -2 -(-5) = 3 units
Rate of change = 8/3 = 2.7.
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The point P = (-3, y) lies on the unit circle shown below. What is the value of y
in simplest form?
The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
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is 0, 3, 8, 15, 24, 35 an arithmetic sequence
Answer:
Yes, the sequence is an arithmetic sequence
Step-by-step explanation:
Notice that each consecutive number is being added by the next odd number up:
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
We can represent this as the arithmetic sequence [tex]a_n=n(n+2)[/tex]
please answer 60 points
Answer:
c. 90 cm³
Step-by-step explanation:
Formula applied :
Volume (triangular prism) = Base × Height
Solving :
⇒ Volume = 9 cm² x 10 cm
⇒ Volume = 90 cm³
The answer option is c
Answer:
c. 90 cm³
Step-by-step explanation:
Formula
Volume of a right prism = area of base × height
Given:
area of base = 9 cm²height = 10 cmSubstitute the given values into the formula:
⇒ Volume = 9 cm² × 10 cm
= 90 cm³
The roof of braeden's house is shaped like a parallelogram. The base of the roof is 12m and the area is 114 cm square. Choose a number and unit to make this statement true.
Find the length of the third side. If necessary, round to the nearest tenth.
The length of the third side is [tex]≈15.7[/tex]
Step-by-step explanation:Note:
Phitagors theorem:
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c: hypotenuse[/tex]
[tex]a: altitude[/tex]
[tex]b: base[/tex]
1) Using Phitagors theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c^{2}=14^{2}+7^{2}[/tex]
2) Calculate
[tex]c^{2}=245[/tex]
3) Take the square root of both sides of the equation
[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]
[tex]c=\sqrt{245}[/tex]
[tex]c≈15.7[/tex]
Please help me with the area !!! I’ll love you forever I swear OML
11 gallons of water are used to completely fill 5 fish tanks. if each tank holds the same amount of water, how many gallons will each tank hold? solve on paper and check your work on zearn. express your answer as a mixed number
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
The 11 gals of water are equally split up into 5 tanks, so divide 11 by 5.
[tex]\frac{11}{5}[/tex] then simplifies into [tex]2\frac{1}{5}[/tex]
I need help please. It will really help me
Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
NEED THE ANSWER NOW 50 POINTS PLEASE HELP!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } [/tex]
Now, let's get the common terms out :
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} [/tex]
cancel out the common terms in numerator and denominator
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } [/tex]
So, the correct choice is C
A function is graphed on a coordinate grid. as the domain values approach infinity, the range values approach infinity. as the domain values approach negative infinity, the range values approach infinity. to which family of functions might the described function belong?
From the description of the function as we can see in the question, the function is a quadratic function.
What is a quadratic function?The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.
A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.
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Line AZ is tangent to circle V. What is the measure of angle YWZ?
Answer: 54 degrees
Step-by-step explanation:
Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.
So if you subtract 90 by 36, it gives you YWZ, 54 degrees.
Find the roots of the equation x2-x=6 algebraically
Answer:
x= 3
x= -2
Step-by-step explanation:
x^2-x=6
x^2-x-6=0
find which 2 numbers when multiplied give -6 and
when added give -1
they are -3 and 2
(x-3)(x+2)
x= 3
x= -2
The Simple intrest on $765,000 invested for 3 years at 3% is?
Answer: 68850
Step-by-step explanation:
interest = 765000(3/100x3)
= 68850
if your finding total cost add 765000 + 68850 = 833850
7-12 find the limit.
8. [tex]\lim _{t \rightarrow \infty} \frac{t^{3}-t+2}{(2 t-1)\left(t^{2}+t+1\right)}[/tex]
Divide through the limand by the highest power of t :
[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]
(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)
As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with
[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]