Answer:
100%
Step-by-step explanation:
The initial price of the paper = 1.99
The final price of the pack of paper = 3.98
We need to find the percentage increase in the price of the product. It can be solved as follows :
[tex]\%=\dfrac{3.98-1.99}{1.99}\times 100\\\\=100\%[/tex]
So, the percentage increase in the price of the product is 100%.
If f(x) = x2 – 2x, find:
f(-3) = [?]
9514 1404 393
Answer:
15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
f(-3) = (-3)² -2(-3) = 9 +6
f(-3) = 15
15
Step-by-step explanation:
f(-3)=(-3)^2 - 2(-3)
= 9 + 6 = 15
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answer:
24/40
Step-by-step explanation:
You can multiply both the numerator and denominator by any number
Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.
Now since we know how to do it I'll just do the math for the rest.
Option 1:
6/10
6*2/10*2
12/20 and that doesn't match so it's wrong.
Option 2:
6/10
6*4/10*4
=
24/40
It matches so it's correct let's try option 4 just to check.
Option 4:
6/10
6*2/10*2
12/20
that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)
Answer: 24/40
consider a triangle ABC. Suppose that a=16, b=30, and c=35. Solve the triangle. Carry your intermediate computations to at least four decimal places and round your answers to the nearest tenth
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Answer:
A = 27.1°B = 58.8°C = 94.1°Step-by-step explanation:
An angle can be found using the Law of Cosines.
c² = a² +b² -2ab·cos(C)
C = arccos((a² +b² -c²)/(2ab)) = arccos((16² +30² -35²)/(2·16·30))
C = arccos(-69/960) ≈ 94.1217°
Then another angle can be found using the Law of Sines:
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) ≈ 57.7516°
The third angle can be found from the sum of angles of a triangle.
A = 180° -94.1217° -58.7516° = 27.1267°
The angles of the triangle are about (A, B, C) = (27.1°, 57.8°, 94.1°).
pls helppppppppppp it’s timedddd
Answer:
HI=15
Step-by-step explanation:
HI=sqrt(17^2-8^2)=sqrt(225)=15
P=8+15+17=40
S=8*15/2=60
Answer:
Step-by-step explanation:
for side HI
hypotenuse = 17
other two sides are 8 and HI . Hi has to be find so let it be x.
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 17^2
x^2 + 64 = 289
x^2 = 289 - 64
x^2 = 225
x = [tex]\sqrt{225[/tex]
x = 15
for angle G
take angle G as reference angle
using sin rule
sin G = opposite / hypotenuse
sin G = 15 / 17
sin G = 0.882
G = [tex]sin^{-1} (0.882)[/tex]
G = 61.884°
G = 61.88°
for angle I
angle G + angle H + angle I = 180 degree (being sum of interior angles of a triangle)
61.88° + 90° + angle I = 180°
151.88° + angle I =180°
angle I = 180°- 151.88°
angle I = 28.12°
A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
Aldo has been given a list of 3 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?
Answer:
6
Step-by-step explanation:
1) A B C
2) B A C
3) C A B
4) A C B
5) B C A
6) C B A
(I probably understood it incorrectly)
A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.
Find the mean birth weight of these 29 babies
Answer:
The mean is 6.14
Step-by-step explanation:
Given
See attachment
Required
The mean
Mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]
[tex]\bar x = \frac{178}{29}[/tex]
[tex]\bar x = 6.14[/tex]
Which coordinate K on the line segment with endpoints J (4,2) and L (4,6) divides JL such that the ratio of JK:KL is 3:1? helpp for finals!!
A. (4,5)
B. (5,4)
C. (4,3)
D. (3,4)
The coordinate of K on the line segment JL is (4,5).
What is section formula?When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.
Internal section formula[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]
Where,
(x, y) are the coordinates of point P.
[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.
[tex](x_{2},y_{2})[/tex] are the coordinates of point B.
m and n are the ratio values in which P divides the line segment AB internally.
According to the given question.
Coordinates of points J and L are (4, 2) and (4, 6) respectively.
K divides the line segment JL in the ration 3:1.
Therefore, the coordinates of K by section formula is given by
[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]
⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]
⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]
⇒[tex]K(x, y) = ( 4, 5)[/tex]
Hence, the coordinate of K on the line segment JL is (4,5).
Find out more information about section formula here:
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One number is two greater than another—the product of the numbers 1s 143. Find the numbers. One pair of numbers, both of which are positive, is _____
Answer:
11 and 13
Step-by-step explanation:
The square root of 144 is 12 so the numbers must be close to that
since one number is two greater go up 1 and down 1 from 12
12 - 1 = 11
12 + 1 = 13
11 * 13 = 143
You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.
a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3
Step-by-step explanation:
answer in the image above
Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by
A= P(1+ r/n)^nt
Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?
Answer:
12.906%/year
Step-by-step explanation:
Given data
Principal= $1000
Final Amount= $1900
Time= 5 years
The compound interest formula is given as
A= P(1+ r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)1/nt - 1]
r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]
r = 0.12906
Then convert r to R as a percentage
R = r * 100
R = 0.12906 * 100
R = 12.906%/year
The difference between two numbers is 7194. If the subtrahend is 12,806, find the minuend.
Answer: The minuend is 20000
Step-by-step explanation:
To calculate the minuend, we use the equation:
[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]
We are given:
Difference between the two numbers = 7194
Subtraend = 12806
Putting values in above equation, we get:
[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]
Hence, the minuend is 20000
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form
Answer:
Step-by-step explanation:
John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?
Answer:
John attempted 500 passes this year
Step-by-step explanation:
To sum up the question, it is basically asking what number has 350 as 70% of it.
We know that:
350 is 70% of some number.
Convert 70% to fraction:
70% = 7/10
Divide:
350 ÷ 7/10 = 500
So 350 is 70% of 500
CHECK THE ANSWER:
10% of 500 is 50
To find 70% of 500, multiply:
50 x 7 = 350
I really hope this helps! Please ask me in case you’re confused.
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
learn more about expression here
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct
Answer:
[tex]P(x < -778) = 0[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 48673[/tex]
[tex]\sigma^2 = 11282880[/tex]
[tex]n = 143[/tex]
Required
[tex]P(x <- 778)[/tex]
First, we calculate the z score
[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]
So, we have:
[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]
[tex]z = \frac{-778}{3359.0/143}[/tex]
[tex]z = \frac{-778}{23.49}[/tex]
[tex]z = -33.12[/tex]
So:
[tex]P(x < -778) = P(z < -33.12)[/tex]
From z score probability, we have:
[tex]P(x < -778) = 0[/tex]
if someone could help me i would aprshh
Answer:
Slope: -5/4
Step-by-step explanation:
Use slope (m) formula:
m = y2 - y1 / x2 - x1
m = 5 - 10 / 49 - 45
m = -5/4
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
Hi there!
Equation for the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):
[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]
Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].
I hope this helps!
Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)
Answer: The correct option is A.
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d= distance
[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis
[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis
For the given points:
A(-4,3), B(2,5), C(3,2) and D(-3,0)
Calculating the distance CD:[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]
Putting values in above equation, we get:
[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]
Calculating the distance AD:[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]
Putting values in above equation, we get:
[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]
To calculate the area of a reactangle, we use the equation:
[tex]Area=l\times b[/tex] ....(1)
where,
l = length of the rectangle = CD = 6.32 units
b = breadth of the rectangle = AD = 3.16 units
Putting values in equation 1, we get:
[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]
Hence, the correct option is A.
Answer:
The answer is A.
Step-by-step explanation:
I got it correct.
Show that the number 6 is a rational number by finding a ratio of two integers equal to the number
9514 1404 393
Answer:
6 = 6/1 = 12/2 = 18/3
Step-by-step explanation:
The simplest ratio of integers with a value of 6 is ...
6 = 6/1
We can multiply numerator and denominator by any non-zero integer value to obtain an equivalent:
6 = 12/2 = 18/3 = -54/-9
If x = 82°, find the measures of angles 1, 2, and 3
Answer:
98
Step-by-step explanation:
x(o) + 1(o) = 180(o)
∠2° = ∠x°
∠1° = ∠3°
Answer:
angle 2 is 82 also and angle 3 and 4 is 180 - 82 = 98
Pls help I’ll brainlest
i need to figure this out, but im d*mb.
If i can get 1000 of something for 15$, then how much can i get of it for 10$? need help asap
Answer:
666Step-by-step explanation:
1000 off ⇒ $151 off ⇒ $15/1000 = $0.015Let the required number is x, then we have:
x off ⇒ $10x * 0.015 = 10x = 10/0.015x = 666 (rounded down to whole number)Answer:
We get 666 of something in $ 10.
Step-by-step explanation:
Given that :-
We get 1000 of something for $ 15
Find that :-
How much we can get it in $ 10
Let as assume that : -
Let required number be x.Solution :-
$ 15 = $ 10
1000 = x
Using cross multiplication method
15 × x = 10 × 100 0
multiply ,
15 x = 10000
Divide each side by 15.
15 x / 15 = 10000 / 15
x = 666
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
Suppose x and y are sets such that XuB=(-8,-4,-2,0,2,4,6,8), XnY =(-2,0,2) and X/Y =(-8,8) on this basis which of the following is not true
Answer:
I need points
Step-by-step explanation:
i need help plz help me
Answer:
a+2b
Step-by-step explanation:
2(a+2b)-a-2b
2a+4b-a-2b
=a+2b
Answer:
Step-by-step explana:2 ( a+ 2b) - a- 2b
=2a + 4b - a - 2b= a + 2b
Please please help me I’ve tried soooo many times
value of u = 2
Hope it helps you...
Answer:
u = 2
Step-by-step explanation:
6u + 7 = 29 - 5u
6u + 5u + 7 = 29 - 5u + 5u
11u + 7 = 29
11u + 7 - 7 = 29 - 7
11u = 22
11u ÷ 11 = 22 ÷ 11
u = 2
238/35 mixed number simpified
Answer:
6 4/5
Step-by-step explanation:
Find the Greatest Common Factor (GCF) of 238 and 35, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 7,
=238÷7/35÷7=34/5
Converting to a mixed number using long division with remainders for 34 ÷ 5.
34÷5=6R4
Therefore:
34/5=6 4/5
