The difference between the fraction of the budget for maintenance this year and last year is 5/24.
What is the difference?The first step is to determine the fraction of the budget used for maintenance last year.
Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)
1 - 11/12 = 1/12
The second is to determine the fraction of the budget used for maintenance this year.
Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)
1 - 17/24 = 7/24
The difference = 7/24 - 1/12
= 5/24
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Rocio drops a ball from a height of 4 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, as shown at left. Which of the following equations correctly models the ball's peak height, h, in meters, after b bounces?
The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:
[tex]H(b) = 4(0.79)^b[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Rocio drops a ball from a height of 4 meters, hence A(0) = 4.Each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, hence 1 - r = 0.79.Thus, the equation is given by:
[tex]H(b) = 4(0.79)^b[/tex]
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simplify the expression 30x^6/3x^-2
Answer:
[tex]30x^{4}[/tex]
Step-by-step explanation:
13. The diagram shows the support bracket for a restaurant sign. AB=60 cm, AC=109 cm and ZBAD=41°. A 41° 109 cm 60 cm NOT TO SCALE B С D THE BROTHERS CONCH DINNERS Calculate (a) the length of BC [3] [3] (b) the angle C (c) [3] the length of AD
Answer:
(a) BC = 91 cm
(b) ∠C = 33.4° (nearest tenth)
(c) AD = 79.5 cm (nearest tenth)
Step-by-step explanation:
(a) Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AB = 60 cmb = BCc = AC = 109 cm⇒ 60² + BC² = 109²
⇒ 3600 + BC² = 11881
⇒ BC² = 11881 - 3600
⇒ BC² = 8281
⇒ BC = √(8281)
⇒ BC = 91 cm
(b) Sine rule to find an angle:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Given:
∠B = 90°b = AC = 109 cmc = AB = 60 cm[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]
[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]
[tex]\implies \sin C=\dfrac{60}{109}[/tex]
[tex]\implies C=33.39848847...\textdegree[/tex]
[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]
(c) Sine rule to find a side length:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Sum of interior angles of a triangle = 180°
Given:
∠B = 90°b = AD∠D= 180° - 41° - 90° = 49°d = AB = 60 cm[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=79.5007796...[/tex]
[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]
what is the effect on the graph of y=-2x+7 if the slope changes to 2
What are the x-intercepts of this conic section?
(−3, 0) and (3, 0)
no x-intercepts
(0, −3) and (0, 3)
(−3, 3) and (3, −3)
Answer:
(x, y) = (-3, 0) and (3, 0)
Step-by-step explanation:
The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.
This graph crosses the x-axis at x = ±3. The x-inercepts are ...
(x, y) = (-3, 0) and (3, 0)
This hard anyone help?
Answer:
Step-by-step explanation:
A journeyperson earns $28.75 per hour. A new apprentice earns 60% of the journeyperson's rate.
What would be the apprentices weekly net earnings be for a 40-hour week if there were 27% deductions?
Answer:
$503.70
Step-by-step explanation:
$28.75 × .6 = $17.25
$17.25 × 40 = $690
$690 × .27 = $186.30
$690 - $186.30 = $503.70
What is 88 3/4 rounded to the nearest whole number
Answer:
89
Step-by-step explanation:
df fd
You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.
Find angles B, E, C, and D, given that angle m A=140° and m F=130°.
*Picture is not drawn to scale*
Answer:
Angle B=40 degrees
Angle C= 90 degrees
Angle E=50 degrees
Please Mark Brainliest
these answer- I am sure they ar correct
which line is the graph of the equation y=-x+3
a
b
c
d
Answer:
Graph A is the answer
Step-by-step explanation:
The width of the origin is equal to 3 and the slope is 1
Question 1) What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show your work. ( Please Do Not Repost Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported).
Answer:
21.6 cm²
Step-by-step explanation:
Step 1 : Find CB
CB = tan60° x 5CB = √3 x 5CB = 1.73 x 5CB = 8.65 cmStep 2 : Find Area
Area = 1/2 x Base x HeightArea = 1/2 x 5 x 8.65Area = 2.5 x 8.65Area = 21.625Area = 21.6 cm²Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4
Answer:
y=4x+2
Step-by-step explanation:
Hi there!
We are given that a line has a y intercept of 2, and a slope of 4
We want to write the equation of that line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.
First, substitute 2 as the y intercept (b)
y=mx+2
Now substitute 4 as the slope (m)
y=4x+2
We have found the equation of the line.
Hope this helps!
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A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.
The area of the scale drawing given the scale of the square is 64cm^2.
What is the area of the scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
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.
If x = 9 units , y = 3 units , and h= 11 units what is the area of the trapezoid
Hey there!
Your area of a trapezoid
a = a + b / 2(h)
area = base + base / 2(height)
YOUR EQUATION:
area = 9 + 3 / 2(11)
area = 12/2(11)
area = 6(11)
area = 66
Thus, your answer is probably: 66
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Scott is 5 years old. His Aunt Mary
is 4 times as old. In how many
years will Scott be half as old as
his aunt will be at that time?
Right now, Scott is 5.
His Aunt Mary is 4*5 = 20
We can solve this algebraically if your teacher requires to.
In x years, Scott will be half as old as his Aunt right now (which is 20).
5+x= 20/2
5+x=10
x=5
In 5 years Scott will be half as old as his aunt was.
How do you solve this?
2sinXcosX=sinX
what is the answer to the equation 1 1/2 x 3/4 + 1/78 = 9/8 x 5/8
11/2*3/4+1/78=9/8*5/8
5.5*3/4+1/78=9/8*5/8
16.5/4+1/78=9/8*5/8
4.125+1/78=9/8*5/8
4.125+0.013=9/8*5/8
4.125+0.013=1.125*5/8
4.125+0.013=5.625/8
4.125+0.013=0.703
4.138=0.703
the answer is 4.138=0.703
hope this helps
A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 5 gallons of paint that is 20% gloss. How many gallons of each paint should paint mixer mix together?
The paint mixer should use 2 gallons of 15% gloss paint and 3 gallons of 30% gloss paint.
The paint mixer should use 3 gallons of 15% gloss paint and 2 gallons of 30% gloss paint.
Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.
3(.15) + 2(.3) = 5(.2)
.45 + .6 = 1
Nope
(10/3)(.15) + (5/3)(.3) = 5(.2)
.5 + .5 = 1
Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?
Answer:
Step-by-step explanation:
First you would multiply 4x12 l
next you will get 36l
Finally you would divide it by some # to get your answer .
2 points
Daria earns h dollars per hour at the grocery store. She works 9 hours per week. She writes the expression 9 • h • 4 to represent how much
money she earns in a four-week month. Daria's boss writes the expression 36h. Which person's expression tells you how many hours Daria
works per four-week month? EXPLAIN YOUR REASONING.
Answer:
Daria's boss expression
Step-by-step explanation:
Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.
Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.
If the distance from C to C’ is 8 and the scale factor is 5. What is the distance from A to C?
A. 8/5
B. 5/8
C. 10
D. 2
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
PLEASE HELP ME |x-5|+|x+5| if x>5
Answer:
If you don't understand handwriting
then comment ok
Choose the set of numbers with an average of 8.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20
Answer:
B
Step-by-step explanation:
A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect
B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct
C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect
Help help help help math
Answer:
It's 77, the absolute value bars will just make the number positive
Step-by-step explanation:
In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14 people are randomly selected, find the probability that at least 12of them have brown eyes.
Answer:
0.0006087 (4 sf)
Step-by-step explanation:
Binomial distribution: X ~ B(n, p)
where n is the number of trials and p is the probability of success
Let the random variable X be the number of people with brown eyes
n = 14
p = 40% = 0.4
Therefore, X ~ B(14, 0.4)
P(X ≥ 12) = 1 - P(X ≤ 11)
= 1 - 0.9993913226...
= 0.000608677...
Please help plsssssss
Answer:
Box 1. 2x
Box 2. -13 (1/3) or (-40/3)
Box 3. 2x
Box 4. (2/3)x
Box 5. 3
Box 6. 3
Box 7. -20
Box order left to right.
Step-by-step explanation:
(5/3)x + (1/3)x = 13 (1/3) + (8/3)x
add numberator ( top number ); keep the denominator the same ( bottom number )
Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)
------------------------------------------
Line 2. -13 (1/3) = (8/3)x - 2x
-------------------------------------------
Ex. 3 × (-13) = 39 - 1 = (-40/3)
--------------------------------------------
Line 3. (-40/3) = (2/3)x
---------------------------------------------
Line 4. (3) (-40/3) = (2/3)x (3)
----------------------------------------------
-40 = 2x
÷2 ÷2
Line 5. -20 = x
-------------------------------------------------
Sorry if this is a little confusing. I hope this helped!
Step-by-step explanation:
2
-13/1/3 ; 2
2/3
3 ; 3
-40
hope it help
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
and solve it
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?
2
3
4
5
Answer:
4 years
Explanation:
[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]
[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]
[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]
[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]
[tex]\hookrightarrow \sf t = 4[/tex]
Answer:
The time will be 4 years .
Step-by-step explanation:
Given :
Simple Interest = $600
Principle = $5,000
Rate = 3%
Time = ?
Formula for Simple Interest = P×R×T / 100
=> 5,000 × 3 × T / 100 = 600
=> T = 60,000 / 5,000×3
=> T = 60,000/15000
=> T = 4 years