Answer:
n = 7.
Step-by-step explanation:
Sum S of an AP = (n/2)[2a + d(n - 1)]
112 = (n/2)[2*25 - 3(n -1)]
n/2 (53 - 3n) = 112
n(53 - 3n) = 224
-3n^2 + 53n - 224 = 0
3n^2 - 53n + 224 = 0
(3n - 32 )(n - 7 ) = 0
n = 7, 32/3
So n must be 7 as its a whole number.
Employees of the sports department at a television station want to measure the number of viewers for a particular exercise program. They call the homes of all the members of a nearby health club. Why might this be a biased sample?
A.The station does not include everyone in the viewing area.
B.The station does not include people all across the country.
C.People who belong to a health club may have many television sets in their homes.
D.People who belong to a health club may be more likely to watch an exercise program.
Answer:
d
Step-by-step explanation:
what is this? please help
Answer:
4
Step-by-step explanation:
Mean is another way to say the average of a set of numbers. To find the average you need to add all the numbers in the set together, and then divide by the amount of numbers that where given.
In this case:
6 + 8 + 2 + 0 + 4 + 5 + 3 = 28
there are 7 numbers given in the set, so you divide 28 by 7 to get your mean.
28 / 7 = 4
Answer:
4
Step-by-step explanation:
To find the mean of a set of numbers, you add up all the numbers and then divide them by the amount of numbers there are.
So, let's add up these numbers.
6 + 8 + 2 + 0 + 4 + 5 + 3 = 28
Now, there are a total of 7 numbers, so we divide 28 by 7.
28 / 7 = 4
Therefore, the mean of this data set is 4. I hope this helps! Have a lovely day!!
What is equal to 3 tons 2000 pounds 5000 pounds 6000 pounds 300 pounds
Answer:
6000 pounds or lbs.
Step-by-step explanation:
A ton=2000 lbs.
Hope this helps! ;-)
Solve the linear system:
y = 3 – 4x
y= 4+ 1/2x
· (3,5)
·(-0.22, 3,89)
·(3.2, 5.6)
·(-1,7)
The answer is:
(-2/9, 35/9) in rounded decimal form is (-0.22, 3.89)
x = - 2 / 9 which in decimal form as well as rounded is -0.22
y = 35 / 9 which in decimal form as well as rounded is 3.89
Hope this helps...
A map's scale is 1 inch equals 50 miles. if new york city is 4 inches away from chelsea, ma, about how many miles is it from chelsea to new york city?
Answer:
200 miles
Step-by-step explanation:
Each inch represents 50 miles, so 4 times 1 inch will represent 4 times 50 miles.
4(1 in) ⇔ 4(50 mi)
4 in ⇔ 200 mi
It is about 200 miles from Chelsea to New York City according to the map.
The volume of this cone is 140 cm3
Find the perpendicular height, c.
Give your answer rounded to 1 DP.
х
7 cm
Answer:
x = 10.9 cm
Step-by-step explanation:
Formula for a cone
Volume (cone) = 1/3 × π × (radius)² × heightHere, we are given :
Diameter = 7 cmVolume = 140 cm³Solving
140 = 1/3 × 22/7 × (7/2)² × (x)420 = 11 × 7/2 × (x)77x = 840x = 840/77x = 10.9 cm (1 DP)Answer:
x ≈ 3.6 cm
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = πr²h ( r is the radius and h the perpendicular height )
here diameter = 7 , so r = 7 ÷ 2 = 3.5 , V = 140 and h = x , then
π × 3.5² × x = 140
π × 12.25x = 140 ( divide both sides by 12.25π )
x = [tex]\frac{140}{12.25\pi }[/tex] ≈ 3.6 cm ( to 1 dec. place )
322 children came to the summer carnival. if each child was given 3 free ride passes for attending, how many free ride passes were given away?
Answer: 996 free ride passes were given away
Step-by-step explanation:
If each child was given 3 free ride passes, then you have to do 332 x 3 which is 996
Which number has 3 significant
figures?
A. 15.233
B. 153.2
C. 5.24399
D. 57.2
Answer:
b because it is
Step-by-step explanation:
153.2 is a cool number
The cost of 8 pounds of watermelon is $19.60. How many pounds of watermelon can a
person buy with $53.90?
Answer:
22 pounds of watermelon
Step-by-step explanation:
First find cost per pound
19.60/8=2.45
$2.45 per pound
Then divide $53.90 by $2.45 to determine how many pounds you can buy
53.90/2.45=22
22 pounds of watermelon
The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
Does anybody know the other two? QSRT is a Rectangle find the lengths of the following sides
Answer:
/TS/=12cm
/QP/=
/QR/²=16²+12²
/QR/²=256+144
/QR/²=400
/QR/=√400
/QR/=20
/QP/=20/2=10
let /PT/ be x
hyp²=opp²+adj²
16²=20²+x²
x²=400-256
x²=144
x=√144
x=12.
Using the properties of Integer exponents, match each expression with its equivalent expression.
The -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
5⁻³ = 1/5³ = 1/125
-5⁻³ = -1/5³ = -1/125
(-5⁻³)⁻¹ = (-1/5³)⁻¹ = (-1/125)⁻¹ = -125
(-5⁻³)⁰ = 1 [tex]\rm (a^0 = 1)[/tex]
Thus, the -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
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Answer:
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
Step-by-step explanation:
Exponent Property Rules:
⟹ Zero Exponent Property - ex: x⁰ = 1
An integer (excluding 0) with an exponent of zero equals one.
⟹ Negative Exponent Property - ex: x⁻ⁿ = [tex]{\dfrac{1}{x^n}[/tex]
Any number raised to a negative power is equivalent to the reciprocal of the number's positive exponent.
⟹ Power of Product Property - ex: (xy)ⁿ = xⁿ × yⁿ
To find the power of a product, multiply the power of each factor.
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
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PLS HELP ITS WORTH 20 points
Answer:
x=3, Aly is correct.
Step-by-step explanation:
a. angle YWZ
b. ZY = 9
c. the triangles are congruent so 7x-20=2x-5, 5x=15, and x=3
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
The square root of the quantity 2 x minus 7 end quantity equals 1.
Answer:
Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .
1x − 2+1x + 2=4(x − 2)(x + 2)
(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)
(x−2)+(x+2)=4
2x=4
x=2
But 2 is excluded from the domain of the original equation because it would make the denominator of one of the fractions zero--and division by zero is not allowed! . Therefore, it cannot be a root of the original equation. So, 2 is an extraneous solution. So, the equation has no solutions.
Step-by-step explanation:
An equal when substitute x = 4, the solution is not extraneous the solution x = 4 is valid for the original equation.
The equation is: √(2x - 7) = 1
Step 1: Square both sides of the equation to remove the square root:
(√(2x - 7))² = 1²
Simplify:
2x - 7 = 1
Step 2: Add 7 to both sides to isolate the term with "x":
2x - 7 + 7 = 1 + 7
Simplify:
2x = 8
Step 3: Divide both sides by 2 to solve for x:
2x / 2 = 8 / 2
Simplify:
x = 4
Now, we have found that the solution for x is 4.
To check if the solution is extraneous, we need to substitute the value of x back into the original equation and see if both sides are still equal:
Original equation: √(2x - 7) = 1
Substitute x = 4:
√(2(4) - 7) = 1
Simplify:
√(8 - 7) = 1
√1 = 1
1 = 1
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Given that f(x)=x3, find
Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
help me pls pls pls pls pls pls
Answer:
2.25 square inches
Step-by-step explanation:
SOLUTION,
HERE,
AREA OF SQUARE = L²
=(1.5)²
= 2.25 INCHES²
Answer:
2.25 inches
Step-by-step explanation:
The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.
Plsss HELP ASAP WILL GIVE POINTS AND BRAILEST I WILL DO IT ASAP
Jayden wants to fence a rectangular area for his garden. The length of the garden should be at least 4 ft shorter than the width. And the distance around should be no more than 32 ft. Let x = length Let y = width Write two inequalities that model this problem and enter them below.
The two inequalities will be L>W-4 and (L x W) ≤ 32.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
It is given that:-
The length of the garden should be at least 4 ft shorter than the width
The distance around should be no more than 32 ft
The two inequalities will be as follows:-
a)The length of the garden should be at least 4 ft shorter than the width
L>W-4
b)The distance around should be no more than 32 ft
(L x W) ≤ 32.
Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.
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Find the constant of proportionality for the relationship plotted in the distance versus time graph shown below, and hence predict the distance covered at 10 seconds.
Answer: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Round this number to the nearest one.
87.6
ANWER:
rounded o the nearesr tens is 88.6
Answer:
88
Step-by-step explanation:
Because 6 is greater than 5 it will rounded off and 87.6 = 88
evauleate 150-(2+x)^3 when x is 2
Answer:
Down below
Step-by-step explanation:
150 - (2 + x)^3
150 - (2 + 2)^3
150 - (4)^3
150 - 64
= 86
I would check my math but I believe this is correct.
Answer:
86
150-(2+x)^3
⇒ x = 2
2 + 2 = 4
4^3(4 • 4 • 4) = 64
150 - 64 = 86
Am thinking of a number,l take away 3 the results is 14.what number is it
Find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. Use 3.14 for Pie
150.72 cubic inches
163.28 cubic inches
301.44 cubic inches
452.16 cubic inches
David leaves reading at 11 45am. he arrives at cardiff at 1 45pm. david drives at an average speed of 56 miles per hour. work out the distance between bristol and cardiff
Step-by-step explanation:
speed = distance/time
we know the speed and the time (11:45am to 1:45pm = 2 hours).
distance = speed × time = 56 m/h × 2 h = 112 miles
Determine the following for each sinsusoidal functions
Answer
whats the question
Step-by-step explanation:
cycling burns about 4calories each minute.An apple has about 60 calories.About how many minutes would you have to cycle to burn off the calories in an apple?
Step-by-step explanation:
1 min 4 cals
60 cals how many mins?
1min. 60cals
____. × _______ = 15 mins
4cals. ?mins
we simplify the matter by simplifying 60 with 4 and striking out cals... then we will have 15 on the top right and then we multiply 1 and 15 together at the end we add the mark of the answer which is (min).
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month. how do you think she should budget for the camera?
The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.
Let x be the number of months in which Rita has a budget to buy a camera.
The linear equation in one variable can be framed as follows:
(64.33 - 34.50)x = 249.99
29.83x = 249.99
x = 8.38 = 8.5
Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
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cuanto es: −2(−5n+6)+5(2−7n)
Answer:
here is the required answer hope it help u
Step-by-step explanation:
−2(−5n+6)+5(2−7n)
10n-12+10-35n
-25n-2
What number am i?7 times two digit number equals 4 times number with the digit reversed .the sum of the digits is 3.
Answer:
12
Step-by-step explanation:
7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.
What is the solution to this system of equations?
3x + 2y = -10
y = -x - 4
A. (-2,-2)
B. (-2,2)
C. (-18,14)
D. No solution
3x + 2y=-10 equation 1
y=-x -4 equation 2
use the substitution method of elimination to get the answer to the question.
*using substitution
substitute equation 2 in one and we get
3x +2(-x-4)=-10
3x- 2x-8=-10
x=-2 and y=-2
Answer:
B
Answer: Choice A
(-2, -2)
=============================================================
Explanation:
I'll use the substitution method to solve this system.
Replace y in the first equation with -x-4. This is because y = -x-4 is mentioned in the second equation.
So,
3x + 2y = -10
3x + 2( y ) = -10
3x + 2( -x-4 ) = -10 .... substitution
3x - 2x - 8 = -10
x - 8 = -10
x = -10+8
x = -2
Then use this to find y
y = -x-4
y = -(x) - 4
y = -(-2) - 4
y = 2 - 4
y = -2
We have x = -2 and y = -2 pair up together
They form the ordered pair solution (x, y) = (-2, -2)
This shows why Choice A is the answer.
Another way to see this is to graph each equation given using a tool like Desmos. It's a free graphing app.
See below.
The two lines intersect at (-2, -2) which is the solution.
What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.