The cube of twice a number is [tex]2x^3[/tex].
Find the volume of a right circular cone that has a height of 2.4 in and a base with a radius of 10.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
282.4 in 3
Step-by-step explanation:
Answer:
282.4
Step-by-step explanation:
You are ordering pencils from Amazon for $3.50 each. Shipping costs an additional $2.99. This situation can be represented with the equation y = 3.5x + 2.99 What does each part of the equation represent in the situation (y = ?, 3.5 = ?, x = ?, 2.99 = ?)
Answer:
Y=total cost of purchasing the pencils
Step-by-step explanation:
Y=3.5x+2.99
Where,
Y=total cost of purchasing the pencils
3.5=price of each pencil
X= number of pencils bought
2.99= shipping cost
For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is
Y=$3.50(5)+$2.99
Y=$17.50+$2.99
Y=$20.49
Which statements are true about a triangular pyramid? Check all that apply.
It has exactly two faces that are triangles.
It has exactly three faces that are triangles.
It has exactly four faces that are triangles.
It has 4 vertices.
It has 5 faces.
It has 6 edges.
Answer:
It has exactly four faces that are triangles.
It has 4 vertices.
It has 6 edges.
Step-by-step explanation:
A triangular pyramid is also termed as a tetrahedron.
The properties of a triangular pyramid include:
four triangular faces,six edgesfour vertex corners.Among the four faces, any one of them can be considered to be the base of the pyramid.
The faces are of equal shape and size.
The edges have the same length.
The triangles are equilateral.
Answer: in short, C, D, And F
Step-by-step explanation:
The probability of 6 beads which 3 are white and a randomly selected bead will be white
I believe the answer is 2..
What is the solution for the inequality 3x - 4 < -19
Step-by-step explanation:
3x-4<-19
+4. +4
3X<-15
Divide by 3
X<-5
hope my answer is right,Thank you....
What is the solution to this system of equations?
x+2y=4
2x-2y = 5
(3 - 5 1 2 3
no solution
infinitely many solutions
Answer:
(x,y) = (3, 1/2)
Step-by-step explanation:
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..
To solve this, add the equations;
x + 2x + 2y - 2y = 4 + 5
3x = 9
x = 3
substitute the value of x into the first equation,
3 + 2y = 4
2y = 4 -3
2y = 1
y = 1/2
Answer: Its B
Step-by-step explanation:
Which pair of quantities is LEAST likely to be directly proportional?
A.Hours worked and money earned
B.Distance and time when speed is constant
C.Area and side length of a square
D.Total cost and the number of hats purchased
Answer:
C: Area and side length of a square
Step-by-step explanation:
Answer: C
Step-by-step explanation:
This is part of my knowledge check that's due today at 11:59 am. Please help me on this question
-3/4 divided by 2/-8
the four is not negative
Answer:
The answer is 3.
Step-by-step explanation:
-3/4 divided by 2/-8
take the reciprocal of 2/-8
which is -8/2 then divide
[tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{-8}{2}[/tex]
= 3
-3/4 ÷ 2/-8
expand the expression -7k (k - 3)
Answer choices are
K + 21
-7k + 21
-k- 21
-7k - 21
Which side length for me a right triangle?
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
8^2 + 15^2 = 17^2
(64 + 225 = 289)
Find the surface area of the rectangular prism.
Answer:
okay I guess the answer is 120 square units
Which expressions show how to calculate the volume
of this prism? Check all that apply.
2(12 + 21 + 28)
3(4) +7
3(7)(4)
4(7)(3)
12(7)
21(28)
7 cm
4 cm
3 cm
Answer:
3(7)(4) c
Step-by-step explanaiton:
4(7)(3) d
12(7) e
If Mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas
Answer:
Step-by-step explanation:
Ratios are in proportion
Let x be number of apples
2:3 = x:15
[tex]\frac{2}{3}=\frac{x}{15}\\\\\frac{2}{3}*15=x\\\\2*5=x\\10=x\\[/tex]
Mike should have 10 apples
If Mike has 15 bananas, he would have 10 apples based on the ratio of 2 apples to 3 bananas.
To solve the problem, we start by understanding the given ratio of apples to bananas: 2 apples for every 3 bananas. This can be expressed as the fraction 2/3.
Now, we need to determine how many apples Mike would have if he possesses 15 bananas.
Let the number of apples be x.The ratio of apples to bananas is 2 to 3, so we can set up a proportion:Therefore, if Mike has 15 bananas, he would have 10 apples.
If the radius and the height of a right cylinder are both tripled, by what factor will the surface area increase?
Answer :
The surface area will increase by 9
Step-by-step explanation :
This problem bothers on the mensuration of solid shapes, a cylinder
Step one
We know that the surface area of a cylinder is given as
A= 2πrh + 2πr²
A= 2π(rh + r²)
Since the radius and the height is tripled r=3r, h= 3h
A= 2π(3r*3h + (3r)²)
A= 2π(9rh + 9r²)
Factoring 9 out we have
A= 9*2π(rh + r²)
Hence the surface area will increase by 9
Graphing system of equations: y=5x+2 and y=-x+8
If a base isn’t negative how will you know whether the answer is positive or negative before evaluating it
Answer:
when evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. if odd, the value will be negative. if even, the value will be positive.
Step-by-step explanation:
Answer:
On edge
My response: If the base is negative and you are trying to find out weather the value of the power(Answer) will be negative or positive all you have to look at is the exponent. If the exponent is even the answer will be positive. If the exponent is odd then the answer will be negative.
Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.
Find the area of the shape shown below.
Answer:
28 square units
Step-by-step explanation:
what is the interquartile ra nge of this data set ? 2,5,9,11,18,30,42,55,58,73,81
Answer:
49
Step-by-step explanation:
You need to find the median,which is 30, then you figure out the innerquartile.....which is 9....then find out the outerquartile...58......then you find out the range of both of them....58 - 9 = 49
Plz correct me if I'm wrong
Relatives gave Timothy $15, $50, $25, and $18 for his birthday. What is the mean amount of money relatives gave Timothy for his birthday? The mean amount of money relatives gave Timothy was .
Answer:
The mean amount of money relatives gave Timothy was $27.
Step-by-step explanation:
The mean means the average of a set of numbers.
1) Add 15, 50, 25, and 18 together, which equals $108
3) Divide 108 by 4 (because there are 4 numbers) and you get 27
(hope this helps :)
What is 132x561+61-126=?
Answer:
The answer is 73,987 :)
Here is a typed out explanation.
Solve for x. Assume that lines which appear tangent are tangent. See photo.
Solve the equation below using completing the square method
6y 2 – y – 15 = 0
Answer:
11y = 15
Step-by-step explanation:
12y - y - 15 = 0
11y - 15 = 0
11y = 15
In the figure below, \overline{AD}
AD
start overline, A, D, end overline and \overline{CE}
CE
start overline, C, E, end overline are diameters of circle PPP.
What is the arc measure of \stackrel{\Huge{\frown}}{AEB}
AEB
⌢
A, E, B, start superscript, \frown, end superscript in degrees?
^\circ
∘
The arc measure of CAD is 296 degrees.
1. Find k by setting angle DPE to 90 degrees:
33k - 9 = 90
33k = 99
k = 3
2. Calculate angle CPD using the value of k:
angle CPD = 20k + 4
angle CPD = 20(3) + 4
angle CPD = 64
3. Determine angle CBP by subtracting angle CPD from 90 as angle APB is 90 degree:
CBP = 90 - CPD
CBP = 90 - 64
CBP = 26
4. Finally, calculate the arc measure of CAD by adding the arc measures of CBP, APB, EPD, and APE:
Arc measure of CAD = ∠CBP + ∠APB+ ∠EPD + ∠APE
Arc measure of CAD = 26 + 90 + 90 + 90
Arc measure of CAD = 296
Hence, the arc measure of CAD is 296 degrees.
Complete question:
In the figure below, AD and BE are diameters of circle P.
What is the arc measure of CAD in degrees?
The arc measure of CAD is 296 degrees.
1. Find k by setting angle DPE to 90 degrees:
33k - 9 = 90
33k = 99
k = 3
2. Calculate angle CPD using the value of k:
angle CPD = 20k + 4
angle CPD = 20(3) + 4
angle CPD = 64
3. Determine angle CBP by subtracting angle CPD from 90 as angle APB is 90 degree:
CBP = 90 - CPD
CBP = 90 - 64
CBP = 26
4. Finally, calculate the arc measure of CAD by adding the arc measures of CBP, APB, EPD, and APE:
Arc measure of CAD = ∠CBP + ∠APB+ ∠EPD + ∠APE
Arc measure of CAD = 26 + 90 + 90 + 90
Arc measure of CAD = 296
Hence, the arc measure of CAD is 296 degrees.
Complete question:
In the figure below, AD and BE are diameters of circle P.
What is the arc measure of CAD in degrees?
Task 1:
Your nephew is standing on his deck, which is 4 feet off the
ground. He tosses his toy up into the air at an initial velocity
of 7 feet per second. The equation h = -2t2 + 7+ + 4 models
the toy's height hin feet from the ground at t seconds after
he threw it.
What is the toy's maximum height?
Answer:
The toy's maximum height is [tex]10.12\ \text{feet}[/tex].
Step-by-step explanation:
The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :
[tex]h = -2t^2 + 7t + 4[/tex] .....(1)
It is required to find the toy's maximum height. For maxima or minima, put
[tex]\dfrac{dh}{dt}=0[/tex]
Plugging the value of t in above equation,
[tex]\dfrac{d(-2t^2 + 7t + 4)}{dt}=0\\\\-4t+7=0\\\\t=\dfrac{7}{4}\\\\t=1.75\ s[/tex]
Now put t = 1.75 s in equation (1) such that,
[tex]h = -2(1.75)^2 + 7(1.75) + 4\\\\h=10.12\ \text{feet}[/tex]
So, the toy's maximum height is [tex]10.12\ \text{feet}[/tex].
The toy's maximum height is 10.12 feet.
Calculation of the toy's maximum height:Since the nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation is [tex]h = -2t^2 + 7+ 4[/tex]
So first we have to determine the t i.e.
[tex]d(-2t^2 + 7 +4) \div dt = 0\\\\-4t + 7 = 0\\\\ t = 7\div 4[/tex]
t = 1.75 s
Now
the height should be
[tex]= -2(1.75)^2 + 7(1.25)+ 4[/tex]
= 10.12 feet.
hence, The toy's maximum height is 10.12 feet.
Learn more about height here: https://brainly.com/question/15349462
how to solve the question below
Answer:
Step-by-step explanation:
hello : here is an solution :
La un concurs de matematica se dau 40 de probleme. Pentr fiecare raspuns corect se acorda 7 puncte, iar pentru fiecare raspuns gresit se scad 5 puncte.La sfarsit,un elev a obtinut 232 de puncte.Cate raspunsuri corecte si cate raspunsuri gresite a dat elevul?
Answer:
a primit 36 corect ane 4 în mod greșit
Step-by-step explanation:
În această întrebare, ne preocupăm să calculăm numărul de răspunsuri corecte și de răspunsuri greșite pe care elevul le-a dat.
În primul rând, începem prin atribuirea de variabile.
Numărul de răspunsuri corecte să fie x în timp ce numărul de răspunsuri greșite să fie y
Deoarece există 40 de probleme în total, aceasta înseamnă că adăugarea ambelor este egală cu 40 matematic,
x + y = 40. ••• (i)
Acum să trecem la partea complicată. Fiecare răspuns corect = +7. Răspunsul corect total este astfel + 7x Fiecare răspuns greșit este = -5. Răspunsul total greșit este astfel -5y Punct total marcat = 232 Aceasta
înseamnă că; 7x -5y = 232 ••••••••• (ii)
De la i, putem spune y = 40 -x să punem acest lucru în ecuație
ii 7x -5 (40-x) = 232
7x - 200 + 5x = 232
12x = 232 + 200 12x = 432 x = 432/12 x = 36 Deoarece y = 40 - x y = 40 - 36 y = 4
Which is a statistical question that could have been asked to collect the data shown in the dot plot below? (Pick one)
10 points
How many times did we buy a school lunch last week?
How many days were in the last month?
Is your favorite number 5?
Answer: The correct option is the first question; How many times did we buy a school lunch last week?
Step-by-step explanation: When collecting data for the purpose of statistics and data analyses, the exercise involved goes beyond just asking questions. It is actually about asking questions that would provide data or information with a measure of variability. That would help in deciding which data can be best suited to represent the entire data collected.
The question how many days were in last month is not a statistical question because the answer is pretty much straight forward. The number of days in the previous month cannot vary, it will always be the same, hence the answer would be not be useful for any kind of statistical analyses.
Also, asking "Is your favorite number 5?" is not a statistical question because the answer is a yes or no. This does not allow for any kind of statistical analyses. Its as good as a 'dead end.'
However, asking how many times we bought a school lunch last week is a statistical question because the data collected would have a good measure of variability. That is, the data cannot be the same for all respondents. Unlike in the second question where the answer is already known and unchangeable, the answer to this question is not going to be a fixed one and as the respondents provide varying answers, you can now begin to measure the point at which all the answers are likely to agree (measure of central tendency) which is a basic part of statistics.
the length of an swimming pool is best measure in
Answer:
Yards.
Step-by-step explanation
3 feet=1 yard
The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly charges of the plumbers in Denver are normally distributed. If a person living in Denver calls a random plumber, what is the probability that the plumber will charge at least $86.00 per hour. Express your answer as a decimal between 0 and 1, to the nearest hundredth.
Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31