what is 1/4 as a negative exponent
Answer:
1/4 = 1/2² = 2^-2
Step-by-step explanation:
1/4 can be expressed as a negative exponent is 4⁻¹
What is the negative exponent rule?A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³
Given here, 1/4 thus it can be expressed as 4⁻¹
Hence, 1/4 can be expressed as a negative exponent is 4⁻¹
Learn more about exponents here:
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A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A
Answer:
[tex]\angle A=17\textdegree[/tex]
Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:
[tex]\angle A+\angle B=90[/tex]
Since we know their equations, substitute:
[tex](x+8)+(8x+1)=90[/tex]
Solve for x. Combine like terms on the left:
[tex]9x+9=90[/tex]
Subtract 9 from both sides:
[tex]9x=81[/tex]
Divide both sides by 9:
[tex]x=9[/tex]
So, the value of x is 9.
We want to find A. So, let's use the equation for A:
[tex]\angle A=x+8[/tex]
Substitute 9 for x:
[tex]\angle A=9+8[/tex]
Add:
[tex]\angle A=17\textdegree[/tex]
So, the measure of A is 17°.
help plssssssss! asap
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answer:
y = − 6 x + 7
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
multiply the polynomials
(x-6)(x2+2x-4)
Answer:
x³ - 4x² - 16x + 24
Step-by-step explanation:
Step 1: Write expression
(x - 6)(x² + 2x - 4)
Step 2: Distribute each term
x³ + 2x² - 4x
-6x² - 12x + 24
Step 3: Combine
x³ + 2x² - 4x - 6x² - 12x + 24
Step 4: Combine like terms
x³ - 4x² - 16x + 24
1/6+3/4 what is the answer
Answer:
11/12
Step-by-step explanation:
Max and a friend took part in a cross-country bike trip. The trip started at 9:00 a.m. The table shows how far they traveled from the starting point each hour until they reached their destination at 1:00 p.m.
Choose the best type of graph to represent the data in the chart below.
Then, make the graph.
Answer:
Please see the attached diagram which shows the data presented as a distance time graph
Step-by-step explanation:
The given time and distance traveled table can be presented as follows;
Time [tex]{}[/tex] Distance travelled from starting point
9:00 AM [tex]{}[/tex] 0 km
10:00 AM [tex]{}[/tex] 15 km
11:00 AM [tex]{}[/tex] 25 km
12:00 PM [tex]{}[/tex] 35 km
1:00 PM [tex]{}[/tex] 40 km
Therefore, the best type of graph to represent the data is a scatter plot with straight lines that also show the locations of the points on the graph, presented in the form distance time a distance time graph as shown in the attached diagram
This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Explain why it was helpful to construct point D
Answer:
it is helpful to constuct d because it makes the graph easier to understand
Step-by-step explanation:
A square has a diagonal that measures 18 inches. To the nearest tenth, what is the length of one side
of the square?
Answer:
18/sqrt(2)
Step-by-step explanation:
Divide the square into two congruent right triangles:
a and b are the sides of the triangle
since we know that a=b
then the right triangle is isosceles
meaning that the theorem of the 45-45-90 triangle is applicable
so then we can say that 18/sqrt(2) = a = b
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? Y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Given:
The railing will begin at a height of 36 inches.
Height decreases 9 inches for every 12 horizontal inches.
To find:
The function for this situation.
Solution:
Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.
Initial height = 36
So, y-intercept is 36.
Height decreases 9 inches for every 12 horizontal inches. So,
[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]
[tex]m=\dfrac{-9}{12}[/tex]
[tex]m=-\dfrac{3}{4}[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.
[tex]y=-\dfrac{3}{4}x+36[/tex]
The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?
y = –StartFraction 3 Over 4 EndFractionx + 36
y = –3x + 36
y = StartFraction 3 Over 4 EndFractionx + 36
y = 3x + 36
Determine whether the relation is a function.
0
-1
4
5
10
11
Answer:
I'm not quite sure if this is correct, but If the given values are our X's or the inputs, then yes it would be a function as they're all different numbers.
3
10. -16 - 7(2a + 3) = 23 - 2a
Answer:
a=-1.5 (lmk if im incorrect)
Step-by-step explanation:
-16 - 7(2a + 3) = 23 - 2a
-16-(14a+21)=23-2a
5-14a=23-2a
5=23+12a
-18=12a
-18/12 is -1.5
a=-1.5
Flora made 6 withdrawals of $50 each from her bank account. What was the overall change in her account?
Answer:
-$300
Hope this helps : )
Answer:
$300 out of account
Step-by-step explanation:
withdrawals are taking out the money
6*50=300
so she takes out 300 dollars from her account
PLEASE HELPPPP MEEEEEEEE pleaseeee
-0.5
Step-by-step explanation:
Negative , has low correlation
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson. Guitar lessons have a one-time fee of $36 plus $8 for each lesson. After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :
[tex]P_1=26+10x[/tex]
Mathematical expression of guitar lesson :
[tex]P_2=36+8y[/tex]
( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]
Hence, this is the required solution.
Evaluate f(x) = -3x+3 for x=-2
Answer:
9
Step-by-step explanation:
-3*-2 is 6+3 is 9
2 negatives equal a positive when multiplying or dividing
The answer fam is.....9
Booster club sell tickets to Saturday's basketball tournament admission with student ID was two dollars per person regular admission is five dollars the booster club sold 120 student tickets and 50 regular tickets how much money did the booster club click show all the work necessary to justify your answer
Answer:
170 Tickets were sold and 490$ was made
Step-by-step explanation:
to find how many tickets were sold add 120 + 50 to get 170
For how much they made Multiply 120 X 2 to get 240
Then, Multiply 5 x 50 to get 250
Add 240 + 250 and your answer will be 490$
What times 4 equals -384
Answer:
-96
Step-by-step explanation:
-384 divided by 4 = -96
hope this helped!!
Answer:
-96
Step-by-step explanation:
If we use the "classic math" and do this like -394/4
we would get -96.
Or we can use a calculator and type -384 / 4 and get the same answer -96 (or unless you did your math incorrect)
High Hopes^^
Barry-
Solve the following quadratic equation by using the quadratic formula.
-2x^2 - 3x + 4 = 0
(Answers are in photo)
10 points!!!
please explain how you got your answer.
Answer:
B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]
Step-by-step explanation:
First, substitute the equation into the quadratic formula.
[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]
x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]
Solve for x.
x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]
x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]
The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]
bored hmu on twitter. handle is noclips_EMPTY
Also here is 20 points <3
Answer:
:)
Step-by-step explanation:
Answer:
nobody uses twitter anymore
Step-by-step explanation:
Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin, how much money does he have left?
Please help me immediately I’m very stuck
Answer:
D
Step-by-step explanation:
because you want to find the sum of the amount.
quadratic equation
4x2 + 6x = 0
Answer:
x = -4 / 3
Step-by-step explanation:
step 1. simplify 4x2 to 8
8+6x=0
step 2. subtract 8 from both sides.
6x = -8
step 3. divide in both sides by 6.
x = - 8 / 6
step 4. simplify 8/6 to 4/3.
x = -4 / 3
PLEASE HELPP!!!!!!!!
Answer:
2800, 320
350, 40
2800+320+350+40=3510
Step-by-step explanation:
(40*70)+(40*8)+(5*70)+(5*8)
Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.
Answer:
Step-by-step explanation:
Given:
∠1 and ∠2 are supplementary.
To prove:
l║m
Proof:
∠2 is a supplement of a. ∠1 (Given)
∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]
Since supplements of the same angle are congruent,
c. ∠1 ≅ d. ∠2
Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.
What does x equal in 5-4(-x-3/2)5(-6x-6/5)+10x
Answer:
Step-by-step explanation:
Match the four kinds of slope with the coordinating conditions
- Positive:
- Negative:
- Undefined:
- Zero:
-------------------------------------------------------------------------------------------
- A Horizontal line
- A Vertical line
- As you move from left to right the line was increasing
- As you move from left to right the line was decreasing
Answer:
Positive: As you move from left to right the line was increasing /
- Negative: As you move from left to right the line was decreasing \
- Undefined: A Vertical line |
- Zero: A Horizontal line -
Step-by-step explanation:
:)
at what position on the number line is the red dot located?
Answer:
D. Square root of 18
Step-by-step explanation:
The square root of 10 is 3.16.
The square root of 12 is 3.46.
The square root of 24 is 4.90.
The square root of 18 is 4.24.
The red dot is on 4.25 so your answer is the square root of 18.
Will you please mark me brainliest?
HELP PLEASE DUE SOON I NEED HELP FIND THE SLOPE
Answer:
1/3
Step-by-step explanation:
Hope This Helps!
What Is the value of x?
Answer:
idk
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
a and c are the same angles so 73+73=146
then you subtract 180-146=34 and 5 times 6 is 30 then plus 4 and get 34
therefore x=34 degrese