Answer:
(-4, 2) y(2, -8)
{-4 y(2, -8), 2 y(2, -8)}
-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)
-y(2, -8)
2 sqrt(5) abs(y(2, -8))
Step-by-step explanation:
D
Answer:
C
Step-by-step explanation:
The center will be the midpoint of the line connecting A and B.
x=(-4+2)/2=-2/2=-1
y=(2-8)/2=-6/2=-3
The 1275 students who accepted admission to Academic University in 2016 had an average SAT score of 1356. Is 1356 a population parameter or a sample statistic?
Answer:
population parameter
Step-by-step explanation:
A population is said to be category of individuals under study.
A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.
In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.
∴
The average SAT score of 1356 in the given study is a population parameter
I need help ASAP!! Please explain how to solve the problem
Answer:
Step-by-step explanation:
Surface Area of Cylinder = 2πrh+2πr^2
2π(3)(12) + 2π(3)^2
= 282.7 yd^3
answered by g a u t h m a t h
The graph shows the wolf population in
Yellowstone National Park aince 2000 A
student drew a line of beat fit to model the
Wolf Population
180
160
150
Number of Wolves
5 130
120
110
100
.
0
2 4 6 8 10 12 14
Years Since 2000
Which statement best describes the line of
best fit that the student drew?
A. The line of best fit is not a strong model
for the data, because the points are not
close to the line.
B. The line of best fit is not a strong model
for the data, because it does not pass
through any of the data points.
C. The line of best fit is a strong model for
the data, because both the line and the
data show a negative trend.
D. The line of best fit is a strong model for
the data, because about half the data
points are on each side of the line.
Answer:
I think D but im not sure
Step-by-step explanation:
Question 12
1 pts
Whitney recently created a new smartphone app. As a result of the initial costs and
fees of producing the app, she did not make any money, or profit, selling the app during
the first two months of the app's release. For the first month, Whitney had a loss of
$324. During the second month of sales, she had a loss of $97. She hopes that in the
third month, she will sell enough apps to break even-that is, she hopes to earn enough
money to cover her losses. What is the amount of money Whitney needs to make in the
third month in order to break even with app sales so far?
Answer:
The amount (revenue) she makes in the third month to break even is $97
Step-by-step explanation:
The given parameters are;
The cost of the app = Initial cost + fees for producing the app
The amount she loss in the first month = Cost of the app - revenue = $324
The amount she loss in the second month = Loss from first month - revenue in second month = $324 - revenue in second month = $97
The amount Whitney has to make in the third month to break even is therefore;
The amount she makes in the third month to break even is given by the equation;
Revenue from third month - Loss from second month = 0
Which gives;
The amount she makes in the third month to break even is given by Revenue from third month - $97 = 0
∴ Revenue from third month = $97
The amount (revenue) she makes in the third month to break even = $97
I NEED HELP PLEASE I GIVE 5 STARS !
Answer:
C. 2[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Square root of 116 is 10.7703296
Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296
PLEASE HELP ME I NEED HELP
Answer:
V = 1/32 yd^3
Step-by-step explanation:
To find the volume
V= l*w*h where l is length, w is width, and h is height
V = 1/4 * 1/4 * 1/2
V = 1/32 yd^3
Please help me ? + 14% = 3990
Answer:
how is it possible this is impossible
Answer:
3990/(1.14)=3500
Step-by-step explanation:
Change 300mm into cm
Answer:
30 centimeters
Step-by-step explanation:
true
Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.
Answer:
The graph representing the above equation is attached below.
Step-by-step explanation:
The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:
[tex]y=\frac{196-3x}{x}[/tex]
Simplify the expression as follows:
[tex]y=\frac{196-3x}{x}[/tex]
[tex]y=\frac{196}{x}-3[/tex]
The graph representing the above equation is attached below.
On moving the pointer to y = 15, it was determined that the value of x was 10.89.
The point is also plotted on the graph
Answer:
There would be 11 hours of production in a day.
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?
Answer:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Let me know if this helps!
Answer:
1/6
Step-by-step explanation:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write
the formula for the nth term e, of that sequence
Sequence
Type
term formula
(a) 13, 16, 19
Arithmetic
Geometric
(6) 2, 10, 50
Arithmetic
Geometrie
Sum
o
el
Answer:
a) Arithmetic yₙ = 3*(n - 1) + 13
b) Geometric yₙ = 2*5⁽ⁿ⁻¹⁾
Step-by-step explanation:
The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
(a) 13, 16, 19
Here, yₙ = 3*(n - 1) + 13
This is an Arithmetic.
b) 2, 10, 50
Here, yₙ = 2*5⁽ⁿ⁻¹⁾
This is Geometric .
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The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
1. (a) Find the greatest common divisor of the term 144x3y2and 81xy4
(b) Hence factorise completely this expression 144x3y2-81xy4
Answer:
Step-by-step explanation:
a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²
81xy⁴ = 3 * 3 * 3 * 3 * x * y⁴ = 3⁴ * x * y³
GCD is that are in both term
Greatest common divisor = 3² * x * y² = 9xy²
b) 144x³y² - 81xy⁴ = 9xy² * 16x²y - 9xy²*9y²
= 9xy²(16x²y - 9y²)
Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
Answer:
ol so polygon all sum is 540
we know that pentagon of 5 sides always has sum 540
so 5x = 540
x = 108
as per me ...
1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
brainly.com/question/19295956?referrer=searchResultsbrainly.com/question/1301322?referrer=searchResultsplease help me answer these in variable and constant terms 7s + 8s - 6h
Answer:
see below
Step-by-step explanation:
7s + 8s - 6h
7 8 and -6 are coefficients
s and h are variables
We can combine like terms
15s -6h
15 and -6 are coefficients and
s and h are variables
Answer:
Variable Terms: (Alphabets)
s and h
Constant terms: (Numbers)
No constants
Coefficient terms: (Numbers with alphabets)
7 , 8 and -6
multiply the monomials :
a) a³ , -6 a² b and 2 b³
b) 16 x⁶ , -10 xy² and 3/5 x² y²
c) -4 p² q² and 3/8 pq²
here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.
Here we need to remember the property:
[tex]a^n*a^m = a^{n + m}[/tex]
Now we want to directly multiply the monomials:
a) a³ , -6 a² b and 2 b³
Here we just have:
[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]
Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:
[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]
b) 16 x⁶ , -10 xy² and 3/5 x² y²
Like before, we want to simplify:
[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]
Again, reordering that we get:
[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]
Now solving each parenthesis:
[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]
Simplifying the last expression we get:
[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]
c) -4 p² q² and 3/8 pq²
Here we want to simplify:
[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]
Using the same approach as before, we will get:
[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]
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in right triangle abc below where ac=2 and angle BAC is theta find y in terms of theta
please ignore my work!
Answer:
2tanθ -2 = y
Step-by-step explanation:
First, to make things a little simpler, we can say that the point between C and B is D, so BD = y
We are given that ∠ADC = 45° , and ∠ACD = 90°. Because the angles of a triangle add up to 180 degrees, we can say
∠CAD + ∠ACD + ∠ADC = 180°
∠CAD + 90 + 45 = 180
∠CAD = 45°
In a 45/45/90 degree triangle, we can say that the two non-hypotenuse sides are the same. The hypotenuse is opposite of the right angle, so in this triangle, it would be AD. Therefore, we can say that AC = CD = 2
Because BC = CD + DB , we can say that
BC = CD + DB
BC = 2 + y
y = BC -2
Therefore, if we know BC, we can solve for y.
We want to solve for BC given
- the angle opposite of it (θ)
- the side adjacent to the angle (AC).
One equation that fits this is
tanθ = opposite/adjacent
tanθ = BC/AC
tanθ = (2+y)/2
multiply both sides by 2 to remove a denominator
2 tanθ=2+y
subtract 2 from both sides to isolate th y
2tanθ -2 = y
What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?
$276.61
$326.25
$358.00
$368.91
Answer:
A
Step-by-step explanation:
Total money earned=40*8.95=358
Total money earned after deductions=358-(35.24+24.82+21.33)=276.61
A. 264
B. 233
C. 153
D. 268
9514 1404 393
Answer:
A. 264 mi³
Step-by-step explanation:
The area of the right triangular base is ...
A = 1/2bh
A = 1/2(6 mi)(8 mi) = 24 mi²
Then the volume of the prism is ...
V = Bh . . . . . where B is the base area and h is the distance between bases
V = (24 mi²)(11 mi) = 264 mi³
What does it mean when a polynomial equation is in standard form?
All terms are on one side of the equation, and zero is on the other side.
It is in the form Ax+Bx=C.
The polynomial is in factored form.
All terms with a variable are on one side of the equation, and the constant is on the other side of the equation.
Answer:
Standard form is Ax + By = C
Step-by-step explanation:
Answer:
The standard form is Ax + Bx = C
You store square notepaper in a cube shape box with an inside edge length of 3 inches. What is the volume of the box
A cube has sides that are all equal lengths .
Volume of a cube is S^3, where S is the length of the side.
Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.
The volume of box will be 27 inch³.
A square notepaper is stored in a cube shape box with an inside edge length of 3 inches.
We have to calculate the volume of the box.
What is the volume of a cube ?
The volume of a cube is the multiplication of the edge length (a) for three times i.e., a × a × a = a³ .
As per the question ,
Inside edge length of cube = 3 inches
So ,
the volume of box will be ;
= a × a × a
= 3 × 3 × 3
= 27 inch³
Thus , the volume of box will be 27 inch³.
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Solve D = ABC for C.
Answer:C=d/ab
Step-by-step explanation:
D=abc
D/ab=abc/ab (both side divided by ab)
Ab cancel by ab and c= d/ab remains
The solution of the given equation D = ABC for C will be D/(AB).
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
D = ABC
The value of the above equation for C will be as,
D = (AB)C
C = D/(AB)
Hence "The solution of the given equation D = ABC for C will be D/(AB)".
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1)A cylindrical container has a diameter of 14cm and a height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?
2)A cylindrical water tank is 70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?
3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?
1) 9.8 cm
3) 194.68 kilo litters
Step By Step Explanation
Sister these questions are related to volume of cylinder.
You need to use this formula πr²h [ Where r is radius and h is height or depth]
_______________________________________
3)
Given:
Diameter = 4m
Therefore radius = 2m
Depth is 31/2 m
To Find:
How many kilo litters will it hold ?
Actually It's asking about Volume.
Solution:
You know, volume = πr²h
[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]
[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]
[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]
[tex] = \sf 194.68 \: \: kilolitters[/tex]
_______________________________________
1)
Given:
Diameter = 14 cm
[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]
height = 20 cm
Diameter of other cylinder = 20 cm
[tex] \sf \therefore \: radius = 10 \: cm[/tex]
To Find:
Deep of water in other cylinder
Consider the depth of water be x
Solution:
Volume of water will remain constant in both
So,
[tex]V_1 = V_2[/tex]
[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]
[Eliminating π from both sides]
[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]
[tex]49 \times 20 = 100x [/tex]
[tex]x = \dfrac{49 \times 2}{10} [/tex]
[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]
Therefore the required value of x is 9.8 cm .
Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
Explanation:a) Add 3 on every number.
b) Multiply every number by 3.
what is the product of 5 1/2 and 1 2/7
Answer:
[tex]\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{2}[/tex] × [tex]1\frac{2}{7}[/tex]
Step 1. Convert the mixed fractions into an improper fraction (by multiplying the denominator by the whole number and adding the numerator with de denominator to the result)
Answer:
[tex]5\frac{1}{2}=[/tex] [tex]2[/tex] × [tex]5+1=[/tex] [tex]\frac{11}{2}[/tex]
[tex]1\frac{2}{7}=[/tex] [tex]7[/tex] × [tex]1+2=\frac{9}{7}[/tex]
Step 2. Multiply (by multiplying numerator by numerator and denominator by denominator)
Answer:
[tex]\frac{11}{2}[/tex] × [tex]\frac{9}{7}=\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Answer:
The product of 5 1/2 and 1 2/7 is 7 1/14
Step-by-step explanation:
Turn the mixed numbers into improper fractions.
11/2 * 9/7
Multiply.
11/2 * 9/7 = 99/14
Turn into a mixed number.
99/14 = 7 1/14
Hope this helps!
A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
a ceartain trigangle has to 45 degree angles . what type of triangle is it
Answer:
Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question
Step-by-step explanation:
A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.
If the curved surface area of a cylinder with height 15cm is 1320cm², find total surface area
Answer:
2552cm^2
Step-by-step explanation:
C.S.A=1320cm^2 ;r=?
h=15cm.
[C.S.A. = 2πrh]
(r=1320×7/660=14cm)
Now,
TSA of cylinder = 2πr (h + r) sq
TSA=2×22/7(15+14)=2552cm^2