Answer:
10%Solution,
Measured value= $ 13200
True value = $ 1200
Now,
Percentage error:
[tex] \frac{measured \: value - true \: value}{true \: value} \times 100 \: percent\\ = \frac{13200 - 12000}{12000} \times 100 \: percent \\ = \frac{1200}{12000} \times 100 \: percent \\ = 10 \: percent[/tex]
Hope this helps...
Good luck on your assignment..
Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shirts from Custom T-shirts or Fancy T-shirts. Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered. Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered.
a. Find the cost of ordering 3 shirts for each company.
b. Write and solve an equation that gives the number of t-shirts for which the two companies will charge the same amount
Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
:) The bus fare of 12 passengers is Rs 540. If the fare is increased by Rs 5 per
passenger, how many passengers can travel for Rs 750?
Answer:
15 passengersStep-by-step explanation:
Original price,
Fare for 12 passengers = Rs 540
Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]
Increased price,
Fare for 1 passenger = 45 + 5 = Rs 50
Let fare for X passengers be 750
[tex]x \times 50 = 750[/tex]
[tex]x = \frac{750}{50} [/tex]
[tex]x = 15[/tex]
Hence, 15 passengers can travel for Rs 750.
Hope this helps...
Good luck on your assignment..
what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
Im on a time limit please help i will give brainliest!
Answer:
C
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 19 and h = 16 , thus
A = 0.5 × 19 × 16 = 152 yd² → C
The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 years?
Answer:
5th year= 9800
Step-by-step explanation:
1st year=15800
2nd=14300
3rd=12800
4th=11300
5th=9800
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz
Solve the system of equations by subsitution.
b = 4a +2
12a - 3b = -6
Answer:
infinite solution
Step-by-step explanation:
hello
we substitute b = 4a + 2 in the second expression
12a -3*(4a+2) = -6
<=> 12a -12a -6 = -6
<=> -6 = -6
which is always true
so there is infinite solution
hope this helps
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
HELP?? A water tower is 52 feet tall and casts a shadow 78 feet long, while a child casts a shadow 6 feet long. How tall is the child?
Answer:
Step-by-step explanation:
take a right triangle ABC...
right angled at B...
let AB be the height of the water tank...=52feet
AC hypotanuse...
BC is the length of the shadow..=78feet
tan thete=Opp/adj=AB/BC=52/78------eq1
tan theta in both cases remain the same,
hence,
take a right triangle PQR...
right angled at Q...
let PQ be the height of the water tank...
PR hypotanuse...
QR is the length of the shadow...=6feet
tan theta=52/78 (from 1)
tan thete=Opp/adj=PQ/QR = PQ/6-----eq2
hence, from 1, 2
52/78=PQ/6....
52x 6/78=PQ
52/13=PQ
Hence,4m=PQ=height of the boy...
Thank you, Hope this helps you dear friend,,,,
please help i will give out brainliest
Answer:
B
Step-by-step explanation:
(a) Complete the table by substituting the values of x into y = x² - 4x
x | - 1 0 1 2 3 4 5
y | 5 0 - 3 - 4 - 3 0 5
Considering ordered pairs from the table
(0, 0 )
The only graph that passes through the origin is graph B
Graph B also goes through all the given points in the table
Solve the question given below
Answer:
x = 3.9
Step-by-step explanation:
x/1.5 = 2.6
Multiply both sides by 1.5
x/1.5 × 1.5 = 2.6 × 1.5
x = 3.9
Answer: 3.9
Step-by-step explanation:
x= 1.5 x 2.6 x= 3.9BRAINLIEST FOR CORRECT ANSWERRR
The function f(x) = −x^2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold. Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
What is a Quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two
What is Vertex of Quadratic function?The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry
Given,
[tex]f(x) =-x^{2} +28x-192[/tex]
Vertex
x= [tex]-\frac{b}{2a}[/tex]
x= [tex]-\frac{28}{2(-1)} =14[/tex]
y= [tex]-14^{2}+28(14)-192 =4[/tex]
Vertex (14,4)
It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
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What is the range of y = log Subscript 2 Baseline (x minus 6)?
Answer:
Step-by-step explanation:
The graph of this function begins in Quadrant IV and rises rapidly, then continues rising in Quadrant I at a slower pace. The range is (-infinity, infinity).
The range of the value is given as all sets of real numbers.
What is the range of the value?We have been given the function f(x)= log2(x-6)
Given that it is a logarithmic function, there would be no definition for any negative numbers.
We have 2(x-6)>0
x-6>0
x is greater than 6
The Domain of f(x) is then given as any real number
The Range of the function is all of the possible values of f(x) after it has been substituted into the given function
i.e. Range of f(x) is therefore the set of all real numbers.
Complete question
What is the range of y=log2(x-6)?
A. all real numbers not equal to 0
B. all real numbers less than 6
C. all real number greater than 6
D. all real numbers
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ASAP!! Linear Relations Help
Answer:
Below
Step-by-step explanation:
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
What is the equation of the line that passes through (4,3) and (2, -1)?
Answer:
y = 2x - 5
Step-by-step explanation:
Step 1: Find slope m
m = (-1 - 3)/(2 - 4)
m = -4/-2
m = 2
y = 2x + b
Step 2: Find b
-1 = 2(2) + b
-1 = 4 + b
b = -5
Step 3: Rewrite equation
y = 2x - 5
A rectangle has a fixed area of 24 cm². Complete these sentence: The length and width of the rectangle are ________ proportional and can be written in symbols as ________
Answer:
Step-by-step explanation:
The rectangle's are is 24cm²
Let x be the lenght and y be the width x*y = 24 ⇒ x=24/y so the width and lenght of a triangle are inversly proprtional and can be written in symbols as x∝ 1/yComplete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
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(08.01, 8.02 MC)
An expression is shown below:
4x3 - 20x2 +36x - 180
Part A: Rewrite the expression so that the GCF is factored completely. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work. (6
points)
(10 points)
Answer:
4(x^3 -5x^2 +9x -45)4(x -5)(x^2 +9) = 4(x -5)(x -3i)(x +3i)Step-by-step explanation:
A) We observe that each coefficient is divisible by 4. The GCF of the terms is 4.
4x^3 - 20x^2 +36x - 180 = 4(x^3 -5x^2 +9x -45)
__
B) We further observe that the coefficients of each pair are in the ratio 1:-5, so we can factor pairwise:
= 4(x^2(x -5) +9(x -5)) = 4(x^2 +9)(x -5) . . . . factored completely in reals
The quadratic factor x^2+9 can be factored further if complex numbers are used:
= 4(x -3i)(x +3i)(x -5) . . . . factored completely in complex numbers
_____
Comment on the quadratic factor
The term x^2 +9 can be considered to be the difference of squares:
x^2 +9 = x^2 -(-9)
= x^2 -(3i)^2
= (x -3i)(x +3i)
The sum of five consecutive positive integers is 2020. Find the largest of these numbers.
Answer:
406
Step-by-step explanation:
Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)
x + (x+1) + (x+2) + (x+3) + (x+4) = 2020
5x + 10 = 2020
5x = 2020-10
5x = 2010
x = 2010÷5
x = 402
The largest of the number is = x+4
x+4 = 402 + 4 = 406
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
help i will make u brainllest
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.
Answer:
80º and 100º
Step-by-step explanation:
The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 3.
Answer:
The coordinates of point P along the segment AB is (-1, 6).
Step-by-step explanation:
It is known that ratio of AP to PB is:
[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]
Or vectorially speaking:
[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]
The vector that represents the segment AB is:
[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]
If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:
[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]
[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]
[tex]\overrightarrow{AB} = (15,5)[/tex]
But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:
[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]
[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]
[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]
The location of [tex]\vec P[/tex] is derived of this formula:
[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]
[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]
If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:
[tex]\vec P = (8,9) - (9,3)[/tex]
[tex]\vec P = (8-9,9-3)[/tex]
[tex]\vec P = (-1, 6)[/tex]
The coordinates of point P along the segment AB is (-1, 6).
The vertex of the graph of y = -4(x + 3)2 + 2 is ( , )
Answer:
Step-by-step explanation:
This quadratic is of the form
[tex]y=-a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (x - h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
32 divided by 64 rounded to the neares 100
Answer:
.50
Step-by-step explanation:
32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.
Answer:
50
Step-by-step explanation:
so first do 32 divided by 64 then round it to the nearest 100.
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answer:
61.5
Step-by-step explanation:
-3 (t-8)+1.5
-3 (-12-8)+1.5
-3 (-20)+1.5
60+1.5= 61.5
The value of expression will be;
⇒ - 58.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3 | t - 8 | + 1.5
And, The value of t = - 12
Now,
The expression is,
⇒ - 3 | t - 8 | + 1.5
Put t = - 12, we get;
⇒ - 3 | - 12 - 8 | + 1.5
⇒ - 3 | - 20 | + 1.5
⇒ - 3 × 20 + 1.5
⇒ - 60 + 1.5
⇒ - 58.5
Thus, The value of expression will be;
⇒ - 58.5
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Please help me find the answer ASAP