820 miles
to find:how far the airplane can travel in an hour.
solution:x= v × t
x= 820 × 1
x= 820 miles
so, the airplane can travel 820 miles per hour.
if A=(0,0) and B=9(2,5), what is the approximate length of AB
Answer:
(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa
Step-by-step explanation:
Marshall has $700 in an account that earns 13% interest compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.
then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
The principal amount (P)= $700
The interest rate(R) = 13%
The period of investment (T) = 1 year
Simple interest
= P×T×R/100
= 700×T×13/100
= 9100/100
= $91
Therefore, the total amount she will receive at the end of a year
= 700 + 91
= $791
Learn more about simple interest here:
brainly.com/question/25793394
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Write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and(2x - 5). Remember Perimeter = the sum of all sides. Rectangle has four sides.
Please I really need help
Answer:
Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)
Given:
width = (-3x + 1)length = (2x - 5)⇒ perimeter = 2(-3x + 1) + 2(2x - 5)
= -6x + 2 + 4x - 10
= -2x - 8
Simplify the radical expression-
I’ll give Brainliest to the first person
Answer:
2ײY²¹ is the Answer
Thank you:)
12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.
The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.
How to calculate the confidence interval?The margin of error of the 99% confidence interval will be:
= 1.645 × [✓0.36(1 - 0.36)/1006
= 0.024
The margin of error for a 99% confidence interval will be calculated thus:
= 2.576 × [✓0.36(1 - 0.36)/1006
= 0.03898
This implies that margin error increases when there's a higher confidence interval.
Learn more about confidence interval on:
https://brainly.com/question/15712887
Find the slope of the line passing through the points of (3,-3) and (1,-1)
m=y2-y1/x2-z1
=-1--3/1-3
=2/-2
=-1
Answer:
-1
Explanation:
I am going to apply the slope formula to solve this problem:
[tex]\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf{m=\dfrac{-1-(-3)}{1-3}}\\\sf{m=\dfrac{-1+3}{-2}}\\\sf{\dfrac{2}{-2}}\\\\\sf{-1}[/tex]
Hence, the slope is -1.
Solve the triangle. Round to the nearest tenth.
answer:
213.176 units^2
explanation:
1) find the height
10.8^2+h^2=22.5^2
h^2=389.61
h=19.7
2) use formula to find area
A=1/2bh
A=1/2(21.6)(19.7)
A=213.176
--
if this helped, please consider giving brainliest !
Hello, I am a little confused on how to do this problem. If anyone can help and explain also that will be awesome.
Answer:
4(5x-2)= 6(x+8)
20x-8=6x+48
20x-6x=48+8
14x=56
[tex]x = \frac{56}{14} [/tex]
x=4
Step-by-step explanation:
hope this helps you!!
XXITSCHOCOLOVERXX
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{5x-2}{6}=\frac{x+8}{4} < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer[/tex]
Check your answer:
[tex]\frac{5x-2}{6}=\frac{x+8}{4}\\\\\frac{5(4)-2}{6}=\frac{4+8}{4}\\\\\frac{20-2}{6}=\frac{12}{4}\\\\\frac{18}{6}=\frac{12}{4}\\\\3=3[/tex]
This statement is correct
Hope this helps!
The height of a triangle is 4 times its base. If the triangle has an area of 162ft^2, find the length of the base and the height.
Answer:
base is root66 ft and height is 4root66 ft
Step-by-step explanation:
see the picture for full solution
John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?
Answer:
~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)
Step-by-step explanation:
Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.
Find the area - HURRY PLS
Answer:
799.04
Step-by-step explanation:
if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04
I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
-------------------------------------------------------------------------------------------------------
Given Question
For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].
From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:
-------------------------------------------------------------------------------------------------------
Evaluating the expression for the given values of x:
[tex]x=0 \implies 2(0)-5=-5[/tex]
[tex]x=1 \implies 2(1)-5=-3[/tex]
[tex]x=2 \implies 2(2)-5=-1[/tex]
[tex]x=3 \implies 2(3)-5=1[/tex]
[tex]x=4 \implies 2(4)-5=3[/tex]
[tex]x=5 \implies 2(5)-5=5[/tex]
Evaluated set of values: -5, -3, -1, 1, 3, 5
To find the Mean Absolute Deviation (MAD):
Calculate the mean (by summing the data values and dividing by the number of values)Subtract the mean from each value in the data set and take the absolute value of each result.Sum the absolute values from step 2.Divide by the number of values.[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]
Absolute values:
[tex]\sf|-5-0|=5[/tex]
[tex]\sf|-3-0|=3[/tex]
[tex]\sf|-1-0|=1[/tex]
[tex]\sf|1-0|=1[/tex]
[tex]\sf|3-0|=3[/tex]
[tex]\sf|5-0|=5[/tex]
Sum of absolute values = 18
[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]
Find the Volume of 2 centimeter 2 centimeter 8 centimeters
Answer:
32 cm^3
Step-by-step explanation:
Hope it will help you
Answer:
32 cm^3
Step-by-step explanation:
V = L x W x H
V = 2 x 2 x 8
V = 4 x 8
V = 32
The answer would be 32cm^3
I hope it helps! Have a great day!
Your Murderer~
PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis
Answer:
OPTION C
Step-by-step explanation:
This function is odd function because it is symmetric about the origin
Note:This graph also represents the graph of tanx
I hope it helped you
Answer:
Step-by-step explanation:
The length of a rectangle is 9 ft and width is 7 ft. Find its perimeter and area
Answer:
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Step-by-step explanation:
Given :-
Length of rectangle = 9 feet Width of the rectangle = 7 feetTo Find :-
Perimeter and areaSolution :-
We know that,
Perimeter of rectangle = 2(L + W)Substituting the values, we get:
↠ Perimeter = 2(9 + 7)
↠ Perimeter = 2(16)
↠ Perimeter = 32 feet
Now,
Area of rectangle = Length × WidthSubstituting the values, we get:
↠ Area = 9 × 7
↠ Area = 56 ft²
Hence,
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²If the diameter of a circle has 4 units, what is its circumference?
Answer:
The circumference of a circle with diameter 4 is 12.57.
Can someone please help me with this question thank you !!
Answer:
Area of cube = 6l²
= 6×2²
= 24 ft²
2 feet.
to find:how many square feet of wood he used to build the box.
solution:each side measures 2ft.
A=L²=(2 ft)²=4 ft²
A cube has 6 sides so the total quantity of wood is:
Wood=6×A
=6×4 ft²
=24 ft²
he used 24 ft² of wood to build the box.
6 to the power of 3=216. Using exponents, write three more expressions whose value is 216.
Answer:
i think its (2 x 2^2) (3x3^2)
Step-by-step explanation:
Frank and Jerry save quarters in a piggy bank. The bank had $28 in it, then Frank put in F quarters and Jerry put in J quarters. Which expression can be used to represent the amount of money in the bank now? A) FJ + 28 B) 0.25FJ + 28 C) 0.50(F + J) + 28 D) 0.25F + 0.25J + 28
Answer:
D
Step-by-step explanation:
please help me I need help please
Answer:
p = 4
Step-by-step explanation:
Given equation:
[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]
Standard equation of a circle:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)
If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.
Therefore, [tex]p-3=1[/tex]
[tex]\implies p=1+3=4[/tex]
Additional information
To rewrite the given equation in the standard form:
[tex]\implies x^2+y^2-4x+6y-16=0[/tex]
[tex]\implies x^2-4x+y^2+6y=16[/tex]
[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]
[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]
[tex]\implies (x-2)^2+(y+3)^2=29[/tex]
So this is a circle with centre (2, -3) and radius √29
Nate surveyed 90 students at his school about their favorite class. Based on the graph, how many of the 630 students in the school would be expected to say their favorite class is Reading or Math?
Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:
60 prefer reading of math - 90 students.
n prefer reading of math - 630 students.
Applying cross multiplication:
90n = 630 x 60
n = 630 x 60/90
n = 7 x 60
n = 420
420 students in the school would be expected to say their favorite class is Reading or Math.
More can be learned about proportions at https://brainly.com/question/24372153
Subtract --5x^2-
9x- 8 from
-6x^2 + 5.
Answer:
-x²+9x+13
Step-by-step explanation:
if your question is (-6x²+5)-(-5x²-9x-8)
-(-a-b)=(a+b)
=-6x²+5+5x²+9x+8
=-6x²+5x²+9x+5+8
=-6x²+5x²+9x+13
Then the answer is -x²+9x+13
i need help 9th grade math
Answer:
8x+7
Explanation:
f(x) = x + 3
g(x) = 7x + 4
==========
(f+g)(x)f(x) + g(x)x + 3 + 7x + 48x + 7Put values
x+3+7x+48x+7Done!
What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2
Answer:
[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]
Please answer the one you would like. I’m very bad at math :(
Answer:
The answer for question one is 162 cm
Please answer the 4 questions.
first slide:
a. not statistical
b. statistical
c. statistical
second slide:
a. yes
b.no
c. yes
d. no
third slide (drop-down question)
a. statistical
b. vary
fourth slide:
the last question, how many miles does each member of the biking club...
Huy borrowed $4500 from a bank at a rate of 5% per year compound interest. He paid back the money and interest at the end of 2 years.
How much interest did he pay?
Answer:
Step-by-step explanation:
FV = PV ( 1 + i)^n i = decimal interest per period(year) n = periods(years)
FV = future value PV = present value (deposit or loan amount)
FV = 4500 ( 1 + .05)^2
FV = 4500(1.05)^2 = 4961.25 subtract the orginal deposit which means 461.25 interest paid at 2 yrs
A bird flies up and then down again, approximately following the
parabola y = -0.5x^2 + 15x. y measures height in feet.
Approximately what is the highest height that the bird flew to?
Answer:
112.5 ftStep-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
x = - 15/(-0.5*2) = 15The maximum height is the corresponding y- coordinate
y = - 0.5(15²) + 15(15) = 112.5 ftFind vertex
x coordinate
-b/2a-15/-115Y coordinate (Max height)
y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ftSolve for x. Leave your answer in simplest radical form
Answer:
sqrt213
Step-by-step explanation:
Attached photo might help you out
Answer:
x = √213
Step-by-step explanation:
Step 1 : Solve for hypotenuse in the right triangle.
h² = 7² + 10²h² = 149Step 2 : Solve for x.
x² = h² + 8²x² = 149 + 64x² = 213x = √2132x² + 3x - 1 =0 by make quadratic equation
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1/2