Answer: [tex]\frac{5}{6}z+\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6}z+5-\frac{1}{2}-4\\\\\frac{5}{6}z+1-\frac{1}{2}\\\\\frac{5}{6}z+\frac{1}{2}[/tex]
A new club sent out 250 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
A.
4
B.
50
C.
5
D.
54
Answer: 50 existing members
The surface area of this cylinder is 118.378 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
r = 2.9 yd
The surface area of this cylinder is 118.378 square yards. 3.6 yard is the height.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. Square units are used to measure it at all times.
The terms "lateral surface area," "curved surface area," and "total surface area" refer to three different forms of surface area.
Surface area and volume are the cylinder's two main characteristics because it is a three-dimensional form. The area of the two circular bases combined with the cylinder's curved surface area equals the cylinder's overall surface area. Its volume is the three-dimensional area that a cylinder takes up.
Given that,
Surface area (A) of the cylinder = 118.378 square yards.
radius (r) = 2.9 yard
As we know, A = 2πrh + 2πr²
putting the values we get -
or, 118.378 = 2πr (h + r)
or, 118.378 = 2 × 3.14 ×2.9 × (h + 2.9)
or, 118.378 = 18.212 × (h + 2.9)
or, 6.5 = h + 2.9
or, h = 6.5 - 2.9
or, h = 3.6 yard
Thus, 3.6 yard is the height of the cylinder.
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Solve for x
Note drawn to scale
Geometry
Answer:
x=2
Step-by-step explanation:
1. Set the proportions equal: 5/2x-3 = 15/27
2. Butterfly method: 27x5 = 3x-3 x 15
3. Continue solving: 135 = 45x-45
4. Break it down: 45x = 90
5. Solution: 2 because 45 x 2 is equal to 90
Answer:
x=4
Step-by-step explanation:
[tex]\frac{3x-3}{5}=\frac{24+3x}{20}[/tex] Original equation. A proportion can be set up so that
you can find x. One proportion can be one side over the
other side of one of the smaller triangle set equal
to the total length of the larger triangle. 27 and -3 can
combine forming 24, which continues to be added to 3x.
15 and 5 can be combined to become 20.
20(3x-3)=5(24+3x) Now, cross multiply. This involves the distribution of one
term to the terms it's multiplied by. 20*3x=60x and
20*-3=-60. 5*24=120 and 5*3x=15x.
60x-60=120+15x Now, the goal is to get x alone on one side. You can do
this by combining like terms. Subtract 15x from both
sides and add 60 to both sides.
45x=180 Then, divide by 45 to get x by itself.
x=4 This is your answer.
3x + 4y =8 write equation in slope intercept
Answer:
[tex]y=2-\frac{3}{4} y[/tex]
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope; b is the y-intercept
Therefore, we need to isolate the y variable first
3x + 4y = 8
-3x -3x
4y=8-3x Divide both sides by 4 to leave y by itself.
/4 /4
[tex]y=2-\frac{3}{4} y[/tex]
I NEED HELP ASAP
FIRST TI ANSWER GET BRAINLEST
Answer:
4.
y = -1/6 * x - 7/3
Step-by-step explanation:
We can just check:
1.
y = -1/6 * x
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -1/6 * -2 = 1/3
this is nonsense
2.
y = -6x - 3/7
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -6 * -2 - 3/7 = 12 - 3/7 = 11 + 4/7
this is nonsense
3.
y = -6x
this doesn't work for x = -2 and y = -2 (first point) because we get
-2 = -6 * -2 = 12
this is nonsense
4.
y = -1/6 * x - 7/3
this works for x = -2 and y = -2 because
-2 = -1/6 * -2 - 7/3 = 2/6 - 7/3 = 1/3 - 7/3 = -6/3 = -2
it also works for x = 4 and y = -3 because
-3 = -1/6 * 4 - 7/3 = -4/6 - 7/3 = -2/3 - 7/3 = -9/3 = -3
How do you simplify 5+5x-3x+1
Answer:
6 + 2x
Step-by-step explanation:
5 + 5x - 3x + 1
add 5 + 1
6 + 5x - 3x
collect like terms 5x -3x
6 + 2x
Step-by-step explanation:
Please follow me the answer is 6+2x
or 2x+6
1 A, B and C are points on a circle with centre O.
8 cm A-B
15 cm B-C
B
AOC is a diameter of the circle.
AB= 8 cm
BC= 15 cm
Angle ABC = 90°
Work out the total area of the regions shown shaded in the diagram.
Give your answer correct to 3 significant figures.
Diagram NOT
accurately drawn
The total area of the shaded region is solved to be 154.93 cm²
How to find the total area of the shaded regionThe diameter is solved using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 8² + 15²
x² = 289
x = √289
x = 17
Work out the area of the triangle using the formula
= 1/2 * base * height
base = hypotenuse or diameter
height = radius = diameter/2
= 0.5 * 17 * 8.5
= 72.25 cm²
Area of the circle
= Π * radius²
= 22/7 * 8.5²
= 226.98 cm²
shaded portion
= Area of the circle - area of the triangle
= 226.98 - 72.25
= 154.93 cm²
the area of the shaded portion is 154.93 cm²
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pls help due tomm!! super easyy
Answer:see below
Step-by-step explanation:
a+4<b+4
Segment AB has point A located at (8, 9). If the distance from A to B is 10 units, which of the following could be used to calculate the coordinates for point B
O 10 √(x+8)2+(y+9)²
O10-√√(x+9)²+(y+8)²
O10-√√(x-8)2+(y-9)²
O10-√(x-9)2+(y-8)²
in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
American adults believes in alien for the given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).
As given in the question,
Sample of American adults surveyed 'n' = 200
Percent of people believes in aliens are success 'p'= 72%
= 0.72
Percent of people who don't believes (failure) in aliens ' 1 - p' = 1 - 0.72
= 0.28
95% Confidence interval that represents Americans adults who believes in aliens
value of z - score for 95% confidence interval = ± 1.96
Margin of error 'MOE'= (z-score)√p ( 1- p) /n
= ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200
= 1.96 ( √0.2016 / 200)
= 1.96 ×√0.001008
= 0.063
Lower limit = p - MOE
= 0.72 - 0.063
= 0.66
Upper limit = p + Margin of error
= 0.72 + 0.063
= 0.78
Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).
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Bart is writing lines on a chalkboard that is initially empty. It ordinarily takes Bart 50 minutes to cover the whole board; however, today, Nelson is erasing the board while Bart is writing. Nelson can erase the board in 80 minutes by himself. If they work simultaneously, how long will it be until the whole board is covered?
think about this conceptually first. The difference between their rates of work is going to be the total speed at which the chalk board fills up (speed of writing - speed of erasing).
Ok, so we need to find the speed that Bart is writing, and the speed at which Nelson is erasing.
Bart: 50 minutes/ 1 board
However, we want to find his speed, which will be in boards/minute. Flip the fraction to get 1 board/50 minutes. Then multiply top and bottom by 1/50 in order to get 1/50 board per minute.
Bart's Speed = 1/50 board per minute
Do the same for Nelson, to get 1/80 board per minute (erasing).
The difference between these will be 1/50 - 1/80 = 3/400 board per minute
Since we want to know how long it will take to fill the board at this rate, we multiply 1 board * 1/(3/400) minute per board - this is the same as 1 * 400/3
So, the answer is 400/3 minutes, or 133.33 minutes, or 2 hours, 13 minutes.
#2
This is the same idea as #1. His speed without the headwind is 2000 miles/5 hours = 400miles/hour.
His speed with the headwind is 2000 miles/8 hours = 250 miles/hour.
400m/h - 250m/h = 150m/h
The speed of the wind is 150 miles/hour.
A full pond containing 625 gallons of water begins losing its water at a rate of 20% per week. If the pond now contains 320 gallons of water, how many weeks has it been since the pond was at full capacity?
(Use the digits 0 – 9 to enter a number. Use a decimal point only if necessary.)
If the pond now contains 320 gallons of water, number of weeks it has been since the pond was at full capacity is 5 week.
Given that, a full pond containing 625 gallons of water begins losing its water at a rate of 20% per week.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, number of gallons water being used for x weeks is
625-320=305 gallons
Now, number of gallons of water used in a week= 20% of 305
= 20/100 ×305
= 0.2 ×305
= 61 gallons
So, number of weeks = x=305/61
= 5
Therefore, if the pond now contains 320 gallons of water, number of weeks it has been since the pond was at full capacity is 5 week.
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Answer:
5
Step-by-step explanation:
Look that guys answer is better
0.4x+6.1forx= -5
show work
a project has the following projected outcomes in dollars: $210, $320, and $540. the probabilities of their outcomes are 25%, 55%, and 20% respectively. what is the expected value of these outcomes?
The expected value of these outcomes are $262.5, $496 and $648 respectively
How to calculate expected values?You should know that the expected value are the proportion of the values when valued with the percentages
The given values are $210, $320 and $540
The given percentages are 25%, 55% and 20%
The expected values are
0.25*210 = $52.5+210=$262.5
0.55*320=176+320=$496
0.20*540=108+540=$648
Therefore the projected values of the project are $262.5, $496 and $648 respectively
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Find the value of each variable
I’ve figured out Z, but need help with Y.
Answer: Y=112
Step-by-step explanation: Add all of the interior angles you have to get 248 and subtract 248 from 360.
67+80+101 = 248.
360-248 = 112
f(x) = 2x³x² - 29x
What is the greatest possible number of turning points?
Answer:
4
Step-by-step explanation:
First we need to get some definitions out of the way
Definition of a turning point
A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising). A polynomial of degree n will have at most n−1 turning points.Definition of degree of polynomial
The degree of a polynomial is the degree of the term having the highest degree.The given polynomial isOhdhhdhdhdgdueyehehehhegehehehgegr
Answer:
JSHKAKSBKSBAK?
Step-by-step explanation:
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
EP = GP
GP = HP
angle EFH = 45
Think these 3 are the right answers, hope it helps.
Multiply (-8.328)(15.99)
Answer:
-133.16472
Step-by-step explanation:
N/A
Answer:
-133.16472
Step-by-step explanation:
A department store buys 400 shirts at a cost of $4,800 and sells them at a selling price of $20 each. Find the percent markup.
40% is the percent markup.
What does math mean by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. , a.
an a, the in the an in the an in the an in the an in the Per 100 is what the word percentage signifies.
= 1 - 4800 /20 ÷ 400
= 1 - 12/20
= 1 - 3/5
= 5 - 3/5
= 2/5
Multiply a number to both the numerator and the denominator
2 *20/5 *20
= 40/100
= 40%
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Pls help on my math question and for part c it’s 48 since the teacher gave us answer only for tht part and show work pls :)
a) Equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) Width of the rectangular rug be 3.5 feet
c) Diagonal of the rectangle is 12.5 feet
What is the area of the rectangle?
The area of a rectangle is the area occupied by the rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of the length and width of a rectangle. The perimeter of a rectangle is equal to the sum of all its four sides
It is given that area of a rectangular rug id 42 square feet. The rug is 8 feet longer than its wide
a) Let the width of the rectangular rug be x feet
Length of the rectangular rug = (x+8) feet
area of rectangular rug = Length × width = x × (x + 8) = [tex]x^{2}[/tex] + 8x
area of rectangular rug = 42
[tex]x^{2}[/tex] + 8x = 42
[tex]x^{2}[/tex] + 8x - 42 = 0
Therefore, equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) If the length of the rectangle is 12 feet
Area of rectangle = 42 square feet
length × width = 42 square feet
12 × width = 42 square feet
width = 42/12 = 3.5
Therefore, width of the rectangular rug be 3.5 feet
c) Length of the diagonal of the rectangle = [tex]\sqrt{length^2+width^2}[/tex]
= [tex]\sqrt{12^2+3.5^2}=\sqrt{144+12.25}=\sqrt{156.25}= 12.5[/tex]
Therefore, diagonal of the rectangle is 12.5 feet
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Simplify the expression |ab^3| if a>0 and b>0
The expression |ab^3| if a>0 and b>0 is even.
What is Parity Definition?
Even Function: A function is even if f(-x)=f(x) for all [tex]$x \in \mathbb{R}$[/tex] Odd Function: A function is odd if f(-x)=-f(x) for all [tex]$x \in \mathbb{R}$[/tex]
[tex]f(a): \quad|a|\left|b^3\right|[/tex]
[tex]f(-a): \quad|a|\left|b^3\right|[/tex]
[tex]-f(a):-|a|\left|b^3\right|[/tex]
Check parity of [tex]$|a|\left|b^3\right|$[/tex]
Check if Even: True
Check if Odd: False
Even
The expression |ab^3| if b>0
[tex]$$\begin{aligned}& f(a): \quad|a| b^3 \mid \\& f(-a): \quad|a|\left|b^3\right| \\& -f(a): \quad-|a| b^3 \mid\end{aligned}$$[/tex]
Check parity of [tex]$|a|\left|b^3\right|$[/tex]
Check if Even: True
Check if Odd: False
Even
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help me with this please !!!!
Answer: 2 times!
Step-by-step explanation:
(-1,0)
(4/3, 0)
Answer:
C.2
Step-by-step explanation:
See attached: the graph of your function
f(x) = 3x - 2 and g(x) = 2x
Find g(f(3))
Answer:
14
Step-by-step explanation:
To find g(f(3)), you will need to first find f(3) and then substitute that value into the function g(x).
To find f(3), substitute 3 for x in the equation for f(x):
f(3) = 3(3) - 2 = 9 - 2 = 7
Now substitute the value of f(3) into the equation for g(x):
g(f(3)) = g(7) = 2(7) = 14
Therefore, g(f(3)) = 14
Answer:
f(3)=7 g(3)=6
Step-by-step explanation:
f(x)=3x-2
f(3)=3(3)-2
f(3)=9-2
f(3)=7
g(x)=2x
g(3)=2(3)
g(3)=6
HELP MEEEEE PLEASEEEEEE
The bus is covering a distance of 42 miles in 1 hour 30 minutes then the speed of the bus will be 28 mph.
What is Average speed?
The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.
As per the given data provided in the question,
Total distance traveled by bus = 42 miles
Total time is taken by the bus = 1 hour 30 minutes = 1.5 hours.
Then the average speed of the bus will be,
[tex]Average\ Speed(S) = Total\ Distance/Total\ Time[/tex]
S = 42/1.5
S = 28 mph.
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The ribbon on a spool is 13 yards long. How many 4 inch pieces of ribbon can be cut from the spool?
Answer:
117
Step-by-step explanation:
13 yards = 468 inches
468 ÷ 4 = 117
The congruency theorem can be used to prove that △wut ≅ △vtu.
As per the congruency theorem, the two triangles are congruent.
Congruency theorem:
Congruency theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."
Given,
Here we need to prove that congruency theorem can be used to prove that △wut ≅ △vtu.
Let us consider triangles WUT and VTU.
And in these triangles:
=> WU≅VT
And in those one, ∠T≅∠U,
Therefore, m∠T = m∠U = 90°
Here the side TU is common.
Now, we have to note that triangles WUT and VTU are right triangles, because m∠T = m∠U = 90°.
Then the side TU is common leg and sides WU and VT are hypotenuses.
Therefore, the HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.
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Answer: HL
Step-by-step explanation:
Solve over the complex number x^2+16=0
I need an explanation on how to solve it!
The factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
What is a factor?
A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.
f(x) = x³ +8x² + 20x + 16
The value of x at which f(x) is zero, is the root
x= -2 is a root
so, ( x- (-2) ) = ( x+2) is a factor
Divide the polynomial x³ +8x² + 20x + 16 by ( x+2) using long division method:
x+2) x³ +8x² + 20x + 16 ( x² + 6x + 8
x³ + 2x²
_______________________
6x² + 20x + 16
6 x² + 12x
____________________________
8x + 16
8x + 16
__________________________
00
f(x)= (x+2) (x² + 6x + 8 )
Factors of (x² + 6x + 8 ) are (x+2)(x+4)
f(x) = (x+2) (x+2)(x+4)
Thus, the factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
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If If you can help that would be great
3n < 3
Answer:
n<1
Step-by-step explanation:
3n<3
/3. /3
n<1
hopes this helps
Answer:
n < 1
Step-by-step explanation:
3/3 n < 3/3
n < 1