Answer:
35.9 degrees
Step-by-step explanation:
the arctan of 0.724 is 35.9 degrees
Evaluate the expression when a=4, b=2, and c=5. 3ab - c
Answer:
19
Step-by-step explanation:
3(4)(2) - 5
3 * 4 = 12 * 2 = 24
24 - 5 = 19
How much paint is needed for the entire outside of this prism ???
SEE PICTURE ATTACHED!!!
Answer:
132
Step-by-step explanation:
surface area of a triangular prism
132 ft is needed for the entire outside
its a 3 4 5 right triangle
10 is the height
12. Solve the following inequality.
Answer:
C. The solution set is {x|x < 6}.
Step-by-step explanation:
Given :
7x + 4 < 46Subtract 4 from both sides.
7x + 4 - 4 < 46 - 47x < 42Divide 7 from both sides.
7x/7 < 42/7x < 6C. The solution set is {x|x < 6}.
The number is between 500 and 510 it is an odd number its one place has the smallest 1 dugit number
Answer:
501
Step-by-step explanation:
Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501
help me with this question please! it’s VERY URGENT and i dont know where to begin with❗️
Answer:
[tex] |x|1 | \: 2 | \: 3 | \: 4 | \: 5 | \\ |y| 5| \: 4 \: | 3 \: | 2 | 1| [/tex]
Step-by-step explaination:
We were told that:
[tex] x + y = 6 [/tex]
therefore to see if it is correct you can just input the values for x and y and see if they add up to 6 (add the vertical values). For example;when x = 1, y = 5 or when x = 2, y = 4
a truck tire has a diameter of 3 feet how far will the truck travel with 20 rotations of the tire?
Answer:
60 ft
Step-by-step explanation:
3 times 20 is 60 ft so there is your answer
Answer:
C
Step-by-step explanation:
Diameter is 3 feet, and the radius is half the diameter.
Radius = 3/2 = 1.5 feetCircumference
2 × π × 1.53πDistance travelled in 20 rotations
20 x 3π60π ftC
5-16 find the general indefinite integral.
8. [tex]\int\left(u^{6}-2 u^{5}-u^{3}+\frac{2}{7}\right) d u[/tex]
[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]
Pick the geometric term that matches the real-world object. cylinder cube sphere triangular prism rectangular prism
Answer:
cylinder
Step-by-step explanation:
A mascara tube is a cylinder
I need help on this please
Answer:
9.45 ounces
Step-by-step explanation:
The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.
The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.
The population standard deviation is about 9.45 ounces.
_____
Additional comment
The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.
please explain every step
761680
Explanation:[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]
Identify the following's:
First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50
Common ratio [r] = 1.2
Total Terms [n] = 44
===========================
[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]
===========================
Solving Steps:
[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]
[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]
[tex]\rightarrow \sf 761679.5808[/tex]
[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]
Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0< x < 3?
So values are
(0,0)(1,3)(2,12)(3,27)The rule is
3/1=312/2=627/3=9Explicit formula
x(3x) where x is set of integersEquation here is
y=3x²Answer:
[tex]f(x)=4^x[/tex] grows at a faster rate than the given quadratic function.
Step-by-step explanation:
Given table:
[tex]\large \begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 3 \\\cline{1-2} 2 & 12 \\\cline{1-2} 3 & 27 \\\cline{1-2}\end{array}[/tex]
First Differences in y-values:
[tex]0 \overset{+3}{\longrightarrow} 3 \overset{+9}{\longrightarrow} 12 \overset{+15}{\longrightarrow} 27[/tex]
Second Differences in y-values:
[tex]3 \overset{+6}{\longrightarrow} 9 \overset{+6}{\longrightarrow} 15[/tex]
As the second differences are the same, the function is quadratic.
The coefficient of [tex]x^2[/tex] is always half of the second difference.
Therefore, the quadratic function is:
[tex]f(x)=3x^2[/tex]
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Therefore, the average rate of change for [tex]f(x)=3x^2[/tex] over the interval
0 ≤ x ≤ 3 is:
[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{27-0}{3-0}=9[/tex]
An exponential function that grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3 is [tex]f(x)=4^x[/tex]
[tex]\large \begin{array}{| c | c | c | c | c |}\cline{1-5} x & 0 & 1 & 2 & 3 \\\cline{1-5} f(x)=4^x & 1 & 4 & 16 & 64\\\cline{1-5} \end{array}[/tex]
[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{64-1}{3-0}=21[/tex]
As 21 > 9, [tex]f(x)=4^x[/tex] grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3.
In a sample of 45 7th graders, 24 chose baseball as their favorites sport. If there are 528 7th graders in the school, predict the number of students who prefers baseball
12. A turtle goes 12 meters in 28 seconds. How far does the turtle travel in one second (unit rate)?
Answer:
0.43 meters per second
Step-by-step explanation:
12/28
A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years? n = StartFraction 2. 5 (1. 5) Over t EndFraction, t not-equals 0 n = 1. 5 t squared 1. 25 n = 1. 5 t 1. 25 n = 1. 25 times 2. 5 Superscript t.
Answer:
see the attachment!
i hope this can help you!
Can somebody please explain how to do this by formula,theorem,or anyway how to do this
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers
Answer:
8 and 4
Step-by-step explanation:
let the 2 numbers be a nd b
equations :
a + b = 12
a - b = 4
Adding the two equations
a + b + a - b = 12 + 4
2a= 16
a = 8
b = 4
What is the probability of drawing a spade from a standard deck of cards or a
7?
The probability of drawing a spade is 13/52 = 1/4
Because every hand has 13 cards and there is 52 cards in a deck
The probability of drawing a 7 is 4/52 or 1/13
Because there are seven 7 cards in a deck and 52 cards.
The volume of this rectangular prism is 51,615 cubic yards. What is the value of v? (will mark brainliest)
Answer:
v = 37 yards
Step-by-step explanation:
Volume of a rectangular prism = width × length × height
Given:
volume = 51,615 yd³width = vlength = 93 ydheight = 15 ydSubstituting the given values into the formula and solving for v:
⇒ 51615 = v × 93 × 15
⇒ 51615 = 1395 v
⇒ v = 51615 ÷ 1395
⇒ v = 37
Answer:
v = 37 yds
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 51,615 yd³l = 93 ydsw = v ydsh = 15 ydsSubstitute the values above and solve for v:
51,615 = 93 × v × 15
51,615 = 1395v
51,615/1395 = 1395v/1395
37 = v
Final answer: 37 yds
Hope this helps!
José tiene una tabla de: (x² -4x + 4) cm de largo y (x+4) cm de ancho ¿Cuál es el área de la tabla?
Answer:
x³ - 12x + 16
Step-by-step explanation:
(x² -4x + 4) × (x+4) =
= x³ + 4x² - 4x² - 16x + 4x + 16
= x³ - 12x + 16
PLS HELP!! I'M ON A TIME!!
Sid has a water dispenser in his refrigerator as shown in the figure.
A prism has a length of 4 inches, height of 14 inches, and width of 8 inches.
Sid would like to have three water dispensers in his refrigerator. How much cubic space will all three dispensers take up in Sid’s refrigerator?
448 in.3
896 in.3
1,200 in.3
1,344 in.3
Answer:
Its d
Step-by-step explanation:
The other person is wrong because they only solved for one water dispenser you are supposed to solve for all three :)
Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
#SPJ2
use the factored form to solve the related question, 2x^2+17x+30=0. what are the solutions
Answer: x = -6 and x = -5/2
Step-by-step explanation:
[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]
Kelly plants 45 tulips in 30 minutes what is the unit rate?
Answer:
1.5 per minute
Step-by-step explanation:
unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45
A laptop computer is purchased for 1700 after each year the resale value decreases by 25 percent. what will the resale value be after 3 years?
A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. points and a line show a downward trend. which is most likely the correlation coefficient for the set of data shown? –0.83 –0.21 0.21 0.83
The most likely correlation coefficient for the set of data shown is: -0.21.
Correlation coefficientWe would be using CORREL in excel to determine the correlation coefficient by inputting the set data below
X Y
A (1,4)
B (2, 1.5)
C (3,3)
D (4,4)
E (5,2)
Hence:
Correlation coefficient=-0.20801
Correlation coefficient=-0.21 (Approximately)
Therefore the most likely correlation coefficient for the set of data shown is: -0.21.
Learn more about correlation coefficient here:https://brainly.com/question/2735094
#SPJ4
Answer:
B) -0.21.
Step-by-step explanation:
If the radius of a clock is 5 inches, what is the distance around the edge of the clock between the two and the five to the nearest hundredth of an inch
plssss help
thank you
Answer:
7.85 inches
Step-by-step explanation:
It mentions distance around the edge of the clock, which is basically another term used for arc length.
Arc Length Formula :
Arc Length = 2πr × θ/360°
Values given :
Radius (r) = 5 inches
Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°
Solving :
Arc Length = 2 x 3.14 x 5 x 90/360
Arc Length = 15.7 x 0.5
Arc Length = 7.85 inches
1. Truncate the following numbers to the unit:
a) 25
b) 76
c) 10
Answer:
1 Truncation
Truncation is a method of approximating numbers. It is easier than rounding, but does not always give the best approximation to the original number. Truncation is used in computing when division is done with integers and the answer must be an integer.
Step-by-step explanation:
20 points help please
How far does the unicycle move if the wheel turns once?
Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?
The unicycle would move 2.512 meters if the wheel turns once
The wheel needs to rotate completely 40 times in order for Pierre to travel 100m
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m
The unicycle would move 2.512 meters if the wheel turns once
b) For a 100m race:
Number of wheel rotation = 100 m / 2.512 m = 39.8
The wheel needs to rotate completely 40 times in order for Pierre to travel 100m
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
When are two triangles similar? Select all that apply.
All three of their corresponding angles have the same measure.
Two of their corresponding angles are the same angle measure.
Only one of their angles match.
All ratios of corresponding sides are proportional.
Two of their corresponding sides are in the same ratio.
Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.
What is a triangle?A triangle is a polygon with three sides and three angles.
Types of triangles
Equilateral triangleScalene triangleIsosceles triangleTwo triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.
Learn more about triangles:
https://brainly.com/question/1675117
#SPJ1
1)we surveyed 760 people. 240 of them like
broccoli more than carrots and peas. 340 of them
like carrots more than broccoll and peas. The rest
prefer peas. What is the simplified ratio of people
who prefer peas to the total number of people?