Answer:
x = 0
Step-by-step explanation:
If p is a number other than zero, then
[tex] p^x=1[/tex]
only if x=0.
What is an equation of the line that passes
thrcugh the point (-2,5) and is parallel to the
line x - 2y = 6?
Robert works at a car dealership. Each month, he receives a base salary of $1,685.00, plus a commission of $465.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
A.
$1,685y = $465x
B.
y = $465x + $1,685
C.
y = $465x
D.
y = $1,685x + $465
The answer is choice B.
y = $465x + $1685
Your friend is making a pattern for quilt pieces. Her pattern is a right angle with two acute angles that complementary. The measure of one of the angles is to be 12° more than half the measure of the other angle. Find the measure of each angle of the triangle. Show your work using the format above.
Answer:
The measure of angle 1 is 52° and the measure of angle 2 is 38°
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x ----> the measure of angle 1
y ----> the measure of angle 2
we know that
[tex]x+y=90\°[/tex] -----> equation A
[tex]y=\frac{x}{2}+12[/tex] ----> equation B
Substitute equation B in equation A and solve for x
[tex]\frac{x}{2}+12+x=90\°[/tex]
[tex]\frac{x}{2}+x=90\°-12\°[/tex]
[tex]\frac{3x}{2}=78\°[/tex]
[tex]x=(2)78/3=52\°[/tex]
Find the measure of y
[tex]y=\frac{52}{2}+12=38\°[/tex]
therefore
The measure of angle 1 is 52° and the measure of angle 2 is 38°
The two acute angles in the triangle are 52° and 38°. This is found by setting up and solving two equations based on the problem's conditions.
Explanation:This question is about solving an equation related to two acute angles in a triangle. Let's denote the smaller angle as 'x' and the larger angle as 'y'. Since the two angles are complementary, we can write an equation like 'x + y = 90'. The problem states that one angle is 12° more than half the other. We can formulate this as 'y = x/2 + 12'. To solve for 'x' and 'y', we need to substitute 'y' from the second equation into the first one to get 'x + x/2 + 12 = 90'. Multiplying through by 2 to eliminate the fraction gives '2x + x + 24 = 180', which simplifies to '3x = 156'. Solving for 'x' gives 'x = 52'. Substitute 'x' into either of the original equations gives 'y = 52/2 + 12 = 38'. Thus, the two acute angles in the triangle are 52° and 38°.
Learn more about Angles in a Trianglehttps://brainly.com/question/13214963
#SPJ3
Round 725,390 to da nearest thousand
Answer:725000
Step-by-step explanation:in thousands you have 5,390. Sound you’re rounding down from the hundredth position of 390. 390 is below 500 so go down a thousand.
What is the answer to use an integer to describe sea level
Answer:
an integer is any whole number
if it is 5 below sea level then it is -5
Step-by-step explanation:
think of sea level like 0
Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board. Draw a model, and write the correct expression.
Answer with Step-by-step explanation:
Let one ⊕ represents fifteens.
Mathematically, we assume that
x represents fifteens
So, our equation becomes,
[tex]7x+38x\\\\=45x[/tex]
Model can be represented as :
7×⊕ + 15 ×⊕
=⊕⊕⊕⊕⊕⊕⊕ + ⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕
=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕
What is the approximate circumference of the circle shown below
Answer:
A. 48.7cm
Reason:
The way to find circumference is Pi times the diameter so simply do this:
[tex]15.5 \times \pi = 48.694686[/tex]
round it and you'll get to 48.7cm
Hope it helps :)
Sorry if not :(
Answer: A. 48.7 cm
Step-by-step explanation:
The circumference of circle is given by :_
[tex]\text{Circumfernce}=\pi d[/tex] , where d= diameter of the circle .
In the given [picture , we are given that the diameter of the circle = 15.5 cm
Then, the circumference of the circle will be :-
[tex]\text{Circumfernce}=\pi (15.5)\ cm[/tex]
Substitute [tex]\pi =3.14[/tex] , we get
[tex]\text{Circumfernce}=(3.14) (15.5)\ cm[/tex]
[tex]\text{Circumfernce}=48.67\approx48.7\ cm[/tex]
Hence, the approximate circumference of the circle = 48.7 cm
Thus , the correct answer is 48.7 cm .
50 pts!!! Given: x - 6 1/3 ≤ 1 1/2. Choose the solution set.
A.{x | x R, x ≤ 7 }
B.{x | x R, x ≤ 7 }
C.{x | x R, x ≤ 5 }
Answer:
{x | x R, x ≤ 7 5/6 }
Step-by-step explanation:
we have
[tex]x-6\frac{1}{3} \leq 1\frac{1}{2}[/tex]
Convert mixed number to an improper fraction first
[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]
[tex]1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}[/tex]
substitute
[tex]x-\frac{19}{3} \leq \frac{3}{2}[/tex]
Multiply by 6 both sides to remove the fractions
[tex]6x-38 \leq 9[/tex]
Adds 38 both sides
[tex]6x \leq 9+38[/tex]
[tex]6x \leq 47[/tex]
Divide by 6 both sides
[tex]x\leq \frac{47}{6}[/tex]
convert to mixed number
[tex]\frac{47}{6}=\frac{42}{6}+\frac{5}{6}=7\frac{5}{6}[/tex]
substitute
[tex]x\leq 7\frac{5}{6}[/tex]
therefore
{x | x R, x ≤ 7 5/6 }
what is 8 simplified?
Answer:
8/ 8 is 1 /1
Step-by-step explanation:
8 ÷ 8
8 ÷ 8
Reduced fraction:
1 /1
What is the value of the expression with base 3 and exponent 6
Answer:
729
Step-by-step explanation:
3 x 3 x 3 x 3 x 3 x 3 = 729
gcf of 80, 16 and 96
Answer:20
Step-by-step explanation: hard to explain
Answer:
16
Step-by-step explanation:
PLEASE HELP QUICK !!!!!!Point B is in the interior of ∠AOC, m∠AOC = 108°. Find m∠AOB, if m∠AOC = 3m∠AOB.
Answer:
The measure of angle AOB is 36°
Step-by-step explanation:
- Point B is in the interior of ∠AOC
- That means angle AOB is a part of angle AOC
- Measure of angle AOC is 108°
- Measure of angle AOC is 3 times measure of angle AOB
- We need to find measure of angle AOB
* Lets solve the problem
∵ m∠ AOC = 3 m∠ AOB
∵ m∠ AOC = 108°
- Substitute m ∠AOC in the equation above
∴ 108 = 3 m∠ AOB
- Divided both sides by 3
∴ 36° = m∠ AOB
The measure of angle AOB is 36°
Answer: The measure of ∠AOB = 36°.
Step-by-step explanation:
Since we have given that
m∠AOC = 108°
and we need to find the measure of ∠AOB.
As we know that
[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]
Hence, the measure of ∠AOB = 36°.
Mr. Lawson parked his car in a parking garage 33 feet below street level. He
then got in an elevator and went up 88 feet to his office. How far above street
level is his office?
55
Step-by-step explanation:
Subtraction
Solve -3 1/2 = 1/2x + 1/2x + x
Answer:
-1.75 I apologize if that is not right but i am 99% sure
Step-by-step explanation:
When you add like terms on the right side you end up with 2x, then all you di is divide both sides by 2 and you end up with -1.75
the total weight of peter, david and henry is 123 kg. peter is 15 kg heavier than david. david is 3 kg lighter than henry. find henry's weight.
Let me break this down with what we know like:
-David + Henry + Peter = 123kg
-Peter is 15kg heavier than David
-David is 3kg lighter than Henry
Now that we know this we can break things down.
The ratio of the 3 people is this:
- (0:3:15)=(David:Henry:Peter)
And these 3 numbers are equivalent to 18+ start with a increase of 3 every weight plus added to find all 3 of their weights, so if there is an increase of 3 and a start of 18 then we can make an equation for example:
123kg = 3x + 18
105 = 3(35)
105 = 105
So we know all 3 other than the info we knew from before which is about 11.6, So if all of them have about 11.6. So everyone's weight would be:
-David is about 11.6kg
-Henry is about 14.6kg
-Peter is about 26.6kg
Hope this helps ^^
Answer:
P-peter,D-david ,H-henry. ,P+D+H=123Kg. so P=15+D,= 15+D+D+D+3=123. 3D+18=123. .3D=123-18.
D=35
so David(D)=35
Peter(P)= 15 + 35=50
so (P)=50
and henry(H)=D+3= 35+3=38
Henry(H)= 38
5.43 x 10^1 In scientific notation
Answer:
Step-by-step explanation:
= 5.43 × 101
(scientific notation)
= 5.43e1
(scientific e notation)
= 54.3 × 100
(engineering notation)
(one)
= 54.3
(real number
Which algebraic expression is a trinomial?
Answer:
A trinomial is a mathematic expression which includes 3 terms. An example would be 5 + 2 - 6. Hope this helps!
The sum of three integers is 228. The second integer is 1 more than the first,
and the third integer is 2 more than the first. Write an equation to determine
the integers. Solve your equation. Show your work.
Please help
Answer: The integers are 75,76,77
Step-by-step explanation:
Answer: first ingeter is 75, second is 76, and third 77
Step-by-step explanation: 75 + 76 + 77 = 228
Help with number 16 (15 points!)
Answer:
-5≥x≤-1
Step-by-step explanation:
comment if you would like an explanation for this.
2 1/2+3 3/4+1 1/2 plz hep me plz thanks you
Answer:
7.75 or 7 3/4
Step-by-step explanation:
2 1/2 + 1 1/2 = 4
4 + 3 3/4 = 7 3/4
7 3/4 = 7.75
either works
"twice a number plus 4 is 8"
Answer:
2n + 4 = 8
Step by Step explanation:
"twice a number" means to multiply 2 by a number
"plus 4" is telling you to add 4 to 2n
"is 8" means equals 8
so, that means 2n + 4 = 8
I hope i helped :)
Solve the formula C= Rd for d
Answer:
d = C/R.
Step-by-step explanation:
You Divide both sides by R:
C = Rd
C / R = Rd / R
C/R = d.
1-2+3-4+5-6+..+99-100.
(Apex Question, Help?)
Which polynomial represents the difference below
2x^2+7x+6
-
(3x^2-x)
A. -x^2+6x+6
B. 2x^2+4x+6
C. 2x^2+5x+6
D. -x^2+8x+6
The required difference between polynomial 2x^2+7x+6-(3x^2-x) is,
-x^2+8x+6.
To simplify 2x^2+7x+6-(3x^2-x)
Polynomial is defined as the sum of more than one variable in terms of their power.
Here,
[tex]=2x^2+7x+6-(3x^2-x)\\=2x^2-3x^2+7x+x+6\\=-x^2+8x+6[/tex]
Thus, the required difference between polynomial 2x^2+7x+6-(3x^2-x) is, -x^2+8x+6.
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
Total these measurements?
8.3m
5.2m
4.36m
42.1m
86.0m
Help pls
Answer: 145.96
Step-by-step explanation:
add them to gather8.3+ 5.2+4.36+42.1+86.0
4.5+1.5x=18-3x
a)1.5 b)3 C)6 D)9
Answer:
b) 3
Step-by-step explanation:
4.5+1.5x=18-3x
1) Subtract 4.5 from both sides:
1.5x=13.5-3x
2) Add 3x to both sides:
4.5x=13.5
3) Divide both sides by 4.5:
x=3
sam and meena share sweets in the ratio 4:5 meena gets 40 sweets wok out how many sweets sam gets
Answer:
Same gets 32 sweets.
Step-by-step explanation:
We have by proportion 4/5 = x/40 where x is the number of sweets that Sam gets.
5x = 4*40
5x = 160
x = 160/5 = 32 sweets.
3/4x-5/6=2/3x how to solve?
Answer:
The answer is 10.
Step-by-step explanation:
Multiply both sides of the equation by 12.
12( 3/4x - 5/6) = 12 times 2/3x.
Distribute 12 through the parenthesis.
12 times 3/4x - 12 times 5/6 = 12 times 2/3x.
Reduce the numbers with greatest common divisor 3.
12 times 3/4x - 12 times 5/6 = 4 times 2x.
Reduce the numbers with greatest common divisor 4.
3 times 3x - 12 times 5/6 = 4 times 2x.
Reduce the numbers with greatest common divisor 6.
3 times 3x - 2 times 5 = 4 times 2x.
Calculate the product, 4 times 2x.
3 times 3x - 2 times 5 = 8x.
Calculate the product 3 times 3x.
9x - 2 times 5 = 8x.
Multiply the numbers - 2 times 5.
9x -10 = 8x.
Move the constant to the right by adding its opposite to both sides.
9x - 10 + 10 = 8x + 10.
Eliminate the opposites, -10 + 10.
9x = 8x + 10.
Move the variable to the left by adding its opposite to both sides.
9x -8x = 8x -8x + 10.
Now eliminate the opposites
9x - 8x = 10.
Collect the like terms by subtracting their coefficients.
(9-8)x
Subtract the numbers.
1x.
When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.
Then, x will equal to 10!
4321342345670
+22347968
the Answer is
4.3213647e+12
Consider a situation in which P(X) = 4/5 and P(Y) = 1/4. If P(X and Y) is = 1/5, which best describes the events?
They are independent because P(X) x P(Y) = P(X and Y).
They are independent because P(X) + P(Y) = P(X and Y).
They are dependent because P(X) x P(Y) = P(X and Y).
They are dependent because P(X) + P(Y) = P(X and Y).
Answer: The correct option is
(A) [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]
Step-by-step explanation: We are given to consider a situation in which X and Y are two events such that
[tex]P(X)=\dfrac{4}{5},~P(Y)=\dfrac{1}{4},~P(X\cap Y)=\dfrac{1}{5}.[/tex]
We are to select the statement that best describes the events X and Y.
We know that
any two events A and B are said to be independent if
[tex]P(A)\times P(B)=P(A\cap B).[/tex]
We have, for events X and Y,
[tex]P(X)\times P(Y)=\dfrac{4}{5}\times\dfrac{1}{4}=\dfrac{1}{5}=P(X\cap Y)\\\\\\\Rightarrow P(X)\times P(Y)=P(X\cap Y).[/tex]
Thus, X and Y are independent because [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]
Option (A) is CORRECT.