Answer:
B) 7.18
Step-by-step explanation:
sorry if I am wrong. I hope this helps.
find the range of the data.
133,117,152,127,168,146,174
133, 117, 152, 127, 168, 146, 174.
to find:range.
solution:first arrange the numbers in order, which gives you:
= 117, 127, 133, 146, 152, 168, 174
then subtract the lowest number from the highest, which gives you:
174 - 117
= 57
range= 57.
a box is filled with 18 unit cubes what is the volume
Answer:
58
Step-by-step explanation:
hope this helps
Answer:
I believe 58
Step-by-step explanation:
Can someone help please
Answer:
Infinitely many solutions
Step-by-step explanation:
To solve for x, start by expanding the left-hand side of the equation.
2(x +5)= 2x +10
2(x) +2(5)= 2x +10
2x +10= 2x +10
Subtracting 10 from both sides:
2x= 2x
Divide both sides by 2:
x= x
Thus, x has infinitely many solutions.
A movie is 9.75 seconds long.
Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5
Answer:
Step-by-step explanation: Maybe you could try:
A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?
MAPS A map of the eastern United States has a scale
where 3 inches = 25 miles. If the distance on the map
between Columbia, South Carolina, and Charlotte, North
Carolina, is 11.5 inches what is the actual distance
between the cities?
Answer:
[tex]95\frac{5}6{[/tex] miles
Step-by-step explanation:
First, find base. 1 inch = [tex]\frac{25}{3}[/tex] miles.
multiply the map distance by base.
[tex]11.5\cdot\frac{25}{3} = 95.8\overline{3}=95\frac{5}{6}[/tex] miles
What is the equation for the graph shown?
Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
The rule for graphs is:
[tex]y = mx + c[/tex]
Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)
We can work out c by looking at our graph.
Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]
To work out our gradient of a straight line (which is what we have)
We use the formula:
[tex]m = \frac{\triangle y}{\triangle x}[/tex]
The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.
To calculate the change in y, we can pick any two points on our line!
Let's go for (0, 4) and (-6, 0)
To work out the gradient:
[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]
Using our formula
[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]
help please!!!!!!!!!
Answer:
Alright, so, the ratio is 2:5
In total, there are 7
So, 56/7=8
8x2=16
8x5=40
So after moving 2 students,
14 on the van, 42 on the bus
(you can use the true/false now)
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
Going to the museum:
Total: 56 students
van:bus = 2:5
2x + 5x = 56
7x = 56
x = 8
2x = 16
5x = 40
16 students go by van
40 students go by bus
40 - 16 = 24
Going back to school:
14 students go by van
42 students go by bus
van:bus = 14/42 = 1:3
42 - 14 = 28
Questions:
1. False
2. True
3. True
4. False
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
27
area: ? square units
circumference: ? units
As Per Provided Information
Diameter of Circle is 27 units
Radius will be 27/2 units
Radius will be 13.5 units
Calculating Area of circle.
[tex] \boxed{ \qquad\huge\sf \:Area_{(Circle)} \: = \pi {r}^{2}}[/tex]
[tex] \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times {13.5}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} \: = 572.3 \: square \: units[/tex]
Now finding the circumference of the circle.
[tex]\qquad\boxed{\huge\sf \: Circumference_{(Circle)} = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_{(Circle)} = 2 \times 3.14 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 6.28 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 85 \: units[/tex]
Step-by-step explanation:
Given :- Diameter of circle :- 27 units , radius :- 13.5 units
Area :- πr²
Area :- 3.14×13.5²
Area :- 572.265
rounding off to nearest hundredth = 572.3 sq. units
Circumference :- 2πr
= 2 ×3.14 × 13.5 units
= 84.78 units
rounding off to nearest hundredth = 85 units
Find x helpppppppppppp
[tex] |2x - 1| = | - x - 2| [/tex]
Thus ;
[tex]2x - 1 = - x - 2[/tex]
Add both sides x
[tex]2x + x - 1 = - x + x - 2[/tex]
[tex]3x - 1 = - 2[/tex]
Add both sides 1
[tex]3x - 1 + 1 = - 2 + 1[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]
[tex]x = - \frac{1}{3} \\ [/tex]
Or[tex]2x - 1 = - ( - x - 2)[/tex]
[tex]2x - 1 = x + 2[/tex]
Subtract both sides x
[tex]2x - x - 1 = x - x + 2[/tex]
[tex]x - 1 = 2[/tex]
Add both sides 1
[tex]x - 1 + 1 = 2 + 1[/tex]
[tex]x = 3[/tex]
There u go ...
What is the answer to 3/4 times 6?
Answer:
4.5 or 4 1/2
Step-by-step explanation:
An easy way to do this problem is to divide 6 by 4, the denominator (1.5) then multiply it by the numerator, 3, which will now be 4.5.
Using the spinner above, what is the probability of landing on blue then red if the spinner is spun twice?
You deposit $150 each month into an account earning 3% interest compounded monthly.
a. How much will you have in the account in 30 years?
b. How much total money will you put into the account?
c. How much total interest will you earn?
Answer:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2
\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2
Now substitute the point (-7, 5) into the equation to find r²:
\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2
\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2
\sf \implies 149=r^2⟹149=r2
Final equation:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
The balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for the future value of an annuity to answer these questions:
FV = PMT(((1 + r)ⁿ - 1) / r)
a. To find how much will be in the account in 30 years, we need to calculate the future value of the annuity after 30 years of monthly deposits.
There are 12 months in a year, the number of months is:
n = 30 years × 12 months/year = 360 months
The monthly interest rate is:
r = 3% / 12 = 0.0025
Substituting the given values into the formula, we get:
FV = $150 × (((1 + 0.0025)³⁶⁰ - 1) / 0.0025)
= $91,745.06
b. To find the total amount of money put into the account, we need to multiply the monthly payment by the number of months:
Total amount = $150/month × 360 months
= $54,000
c. To find the total interest earned, we need to subtract the total amount of money put into the account from the future value of the annuity:
Total interest = $91,745.06 - $54,000
= $37,745.06
Therefore, the balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
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The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)
Considering the definition of axis of symmetry and vertex of a quadratic function, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Quadratic function
The general form of a quadratic function is f(x = ax²+ bx+ c, whose graph is a parabola.
Axis of symmetry and vertex of a quadratic function
Quadratic functions have a maximum (if a<0) or a minimum (if a>0). This point is the vertex of the parabola.
That is, the vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.
In other words, the vertex divides the graph into two halves that are mirror images of each other, so that the axis of symmetry always passes through the vertex.
Vertex of f(x) = −x² − 10x + 16
In this case, you know that the axis of symmetry for the function is x = −5.
So the vertex on the x-axis has a value of -5. To calculate the value of the vertex on the y-axis, you must substitute the value of the vertex on the x-axis in the function:
f(-5) = −(-5)² − 10×(-5) + 16
Solving:
f(-5)= 41
In summary, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Learn more about the vertex of a quadratic function:
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Answer:
a
Step-by-step explanation:
a
terry had his car repaired ace auto. he was charged $40 per hour of labor plus 200 for parts. his total bill for the repair before tax was $380. how many hours of labor was terry charged for? write an equation
Answer:
380 = 40h +200 (equation)
4 1/2 hours (solution)
Step-by-step explanation:
The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.
__
An equation describing Terry's charges might be ...
total = labor cost + parts cost
380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours
180 = 40h . . . . . . subtract 200
4.5 = h . . . . . . divide by 40
Terry was charged for 4 1/2 hours of labor.
How would I solve this problem?
Answer:
[tex]2x^2\\\\[/tex]
Step by step explanation:
[tex]y=\displaystyle \int_{0}^x 2t^2 dt=\dfrac 23\left[t^3\right]^{x}_0=\dfrac 23 x^3\\\\\ y'= \dfrac 23 \cdot 3x^2 = 2x^2[/tex]
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 34 liters per minute. There are 400
liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been
added. Write an equation relating W to T. Then use this equation to find the total amount of water after 16 minutes.
Equation:
D=0
X
Total amount of water after 16 minutes: liters
5
?
Multiply liters per minute by number of minutes and add that to the starting amount.
W = 34t + 400
now replace t with 16 and solve:
W = 34(16) = 400
W = 544 + 400
W = 944
After 16 minutes there are 944 liters in the pond
Circle O has a circumference of 36π cm.
Circle O with radius r is shown.
What is the length of the radius, r?
Answer:
r = 18 cm
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
Hence,
2πr = 36π
r = 18 cm
Help help help help math math
Answer:
7
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtractioin
Evaluate: 2² * 3 - 5
2² * 3 - 5 <== exponents first
4 * 3 - 5 <== multiplicaiton second
12 - 5 <== subtraction last
7 <== final answer
Hope this helps!
7
Solution:Let's evaluate this expression.Please notice the hint: "Remember the word PEMDAS".Here's what PEMDAS stands for.P -> ParenthesesE -> ExponentsM -> MultiplicationD -> DivisionA -> AdditionWe do not have parentheses here, but we do have exponents ([tex]2^2[/tex])[tex]2^2[/tex] equals 2×2, or 4.Right now the expression is equivalent to4×3-5According to PEMDAS, the next operation is M, or Multiplication:12-5And finally, subtract:7Hope it helps.
Do comment if you have any query.
Dinasur is spelled Dinasur change my mind
Answer:
I cannot change what is the truth
Step-by-step explanation:
attempt to change the truth would resulted in dinaur catastrophe
Evaluate (sqrt(2+i))^8
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} [/tex]
Notice that
[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]
So
Fill in the blanks to complete the equation that describes the diagram.
Answer:
-3+-3=-6
Step-by-step explanation:
start from the right go to the left.
+- = a negative gain
enter the value 2³ - 16 divided by 2 + 5²
Answer: 2^3 - 16 : 2 + 5^2 = 25/1 = 25
Step-by-step explanation:
Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25
The area of the circle
Answer:
The answer would be 201.06
Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!
Answer:
200.96 mi²
Step-by-step explanation:
Before, finding the area of the circle, first, let us find the radius.
Given that,
diameter ( d ) ⇒ 16 mi
Let us use the below formula to find the radius of the circle.
d = 2r
16 = 2r
Divide both sides by 2.
8 mi = r
And let us find the area of the circle using the below formula.
A = π r²
A = π × 8 × 8
A = 3.14 × 64
A = 200.96 mi²
The distance between 2 cities is 7200 miles. How long will it take a plan that flies 600 miles/h to travel between the 2 cities?
Given f(X)= x+3/x^2+2x-3 and g(x)=log4X, evaluate (g-f)(2)
Answer:
-1/2 is correct
Step-by-step explanation:
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]. To evaluate the expression (g - f)(2), you need to first find the values of g(2) and f(2), and then subtract f(2) from g(2).
Given:
[tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \) \\ \( g(x) = \log_4(x) \)[/tex]
Let's start by calculating the values of f(2) and g(2): 1. [tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \)[/tex]
Substitute (x = 2): [tex]\( f(2) = \frac{2 + 3}{2^2 + 2 \cdot 2 - 3} = \frac{5}{7} \)[/tex]
2. [tex]\( g(x) = \log_4(x) \)[/tex] Substitute ( x = 2): [tex]\( g(2) = \log_4(2) \)[/tex]
Now, evaluate the expression [tex]\( (g - f)(2) \):[/tex]
[tex]\( (g - f)(2) = g(2) - f(2) = \log_4(2) - \frac{5}{7} \)[/tex]
To determine which option matches this value, calculate [tex]\( \log_4(2)[/tex]) and subtract [tex]\( \frac{5}{7} \)[/tex] from it.
Approximately,[tex]\( \log_4(2) \)[/tex] is around 0.5.
So, [tex]\( (g - f)(2) \approx 0.5 - \frac{5}{7} \)[/tex]. To compare this result with the options provided, convert the fractions to a common denominator:
[tex]\( \frac{5}{7} = \frac{35}{49} \)[/tex]. So, [tex]\( (g - f)(2) \approx 0.5 - \frac{35}{49} \)[/tex].
Now, simplify the subtraction: [tex]\( 0.5 - \frac{35}{49} = \frac{24}{49} \)[/tex]
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]
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A cylinder can hold three golf balls one directly above the other. If the radius of a golf ball is 2cm, what volume of the can is occupied by air outside the golf balls?
Find α in degrees. Round to the nearest hundredth
Answer:
α = 29°
Step-by-step explanation:
Given values
Opposite side = √15Adjacent side = 7Missing value
αSolving :
tanα = √15/7α = tan⁻¹ (√15/7)α = 28.8107937 α = 29° (closest value)Determine the solution(s) of the equation x^2 = 36
In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)
x²=36
√x²=√36
x=6
Is this the only solution?
A negative times a negative is a positive...
-6 is another solution of this equation! :)
Hence, the answers are:-
[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Hello! My name's Cupcake, And I will be helping you today! :D
In order to solve this equation, we need to take the square root of both sides.
Why? Because we need to isolate x. Our goal is:- To find the value of x.
So in order to get rid of the square and find the value of x, we take the square root of both sides:-
x^2=36
x=6, x=-6 (solutions)
Hope it helps!
Any queries - comment !
2 points
15. Write the ratios for sin X and cos X. You can indicate v by writing "sq.
root" or using alt 251 on your keyboard. You will have two answers. sin X =
and cos X =