Answer:
I will prefer the cone having volume 21.21 cubic inches.
Step-by-step explanation:
A cup of ice cream holds ice cream = 21.21 cubic inches
Since volume of a cone = Capacity of the cone to hold the ice cream
Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,
V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]
= [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]
= 7.069
≈ 7.07 cubic inches
Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³
Write a 3×3 matrix A which A^2 is diagonal while A is not diagonal ?
Consider the matrix
[tex]A=\begin{bmatrix}0&1&0\\1&0&0\\0&0&1\end{bmatrix}[/tex]
Multiplying A by itself has the effect of swapping the first and second rows:
[tex]A^2=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}[/tex]
which is diagonal, while A itself is not.
Linear Equations: Solve for x given "-2x + 7 = 13"
Answer:
x = -3
Step-by-step explanation:
-2x + 7 = 13
-2x = 13 - 7
-2x = 6
x = 6/-2
x = -3
You are paid $10.65/hr. Your deductions are FICA (7.65%), federal tax withholding (9.9%), and state tax withholding (7.35%). Your housing and fixed expenses are $493.68/month. How many hours per month must you work to be sure those expenses are paid?
62 hours
64 hours
68 hours
66 hours
Answer:
The first option; You must work about 62 hours.
Step-by-step explanation:
The total percent that you pay in taxes is 24.9%.
That means that you keep 75.1% of the money that you earn. We can write the following equation to determine the number of hours, h, that it will take to earn 493.68.
0.751(10.65)h = 493.68
Just divide by 0.751 and 10.65 and you will get the number of hours needed.
Answer:
A.) 62 hours
Step-by-step explanation:
I took the consumer math test :)
Find the mean and median of these data: 3, 4, 10, 12, 18, 20.
Answer:
the median is 10 and 12
the mean is 11.17
Step-by-step explanation:
Mean=11.16
Median=11
look at the attached picture
Hope it will help you...
Good luck on your assignment..
~pragya
Lisa is packing a set of cubic inch blocks into the box shown below How many blocks will fit in the box8 in.5 in.3 in.A.16B. 32C. 120D. 180
Answer:
120 Blocks or letter C
Step-by-step explanation:
I did 8x5x3, because lxwxh so i got 120
show work 1/4 ÷ 3/8 simplest form
Answer:
2/3
Step-by-step explanation:
1/4 ÷ 3/8 = 1/4 x 8/3 = 8/12 = 2/3
Answer:
2/3
Step-by-step explanation:
to divide make sure to use the reciprocal of the 3/8 which is
1/4*8/3
reduce the numbers with the greatest common factor divisor of 4
8/4=2 then 1*3 equals 3 which is 2/3
so it is 2/3
10^xy=1000, where x and y are positive integers and x > y, what is one possible value of x?
Answer:
hey
Step-by-step explanation:
Please answer this correctly
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
Answer:
168 adult tickets were sold
Step-by-step explanation:
Multiply the amount of students by the cost of the student ticket (82 times 3.75) which equals 307.5 . Subtract that from the total amount earned (2071.5) and you get 1764. Divide that by the cost of an adult ticket (10.50), and you'll get the amount of adults who attended, which is 168.
Answer:
168 Adult tickets were sold
Step-by-step explanation:
Vote me brainliest
if X/4 = x+1/5, then x =
Answer:
as written, -4/15with parentheses, 4Step-by-step explanation:
As the problem is written, you have ...
[tex]\dfrac{x}{4} =x+\dfrac{1}{5}\\\\5x=20x+4\qquad\text{multiply by 20}\\\\-15x=4\\\\x=-\dfrac{4}{15}[/tex]
__
If you add parentheses to include x in the numerator, then you have ...
x/4 = (x +1)/5
[tex]5x=4(x+1)\qquad\text{multiply by 20}\\\\5x -4x = 4\qquad\text{eliminate parentheses, subtract 4x}\\\\x=4[/tex]
__
Additional comment
We include the second working because it is a fairly common mistake to neglect to put parentheses around a numerator or denominator. The solutions to such problems are not often fractions, so we suspect you intend the latter form.
How are the functions f (x) = 16 Superscript x and g (x) = 16 Superscript one-half x related
Answer:
g(x) is f(x) expanded horizontally by a factor of 2
Step-by-step explanation:
Given:
f(x) = 16^x
g(x) = 16^(x/2)
__
Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...
g(x) = f(x/2)
so g(x) is a horizontal expansion of f(x) by a factor of 2.
Answer:
c). The output values of g(x) are the square root of the output values of f(x) for the same value of x.
Step-by-step explanation:
Find an equation of the tangent line to the graph of
y = g(x) at x = 4 if g(4) = −3 and g'(4) = 2.
(Enter your answer as an equation in terms of y and x.)
Answer:
[tex] y- y_o = m(x-x_o) [/tex]
For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:
[tex] y -(-3) = 2 (x-4)[/tex]
And if we reorganize the terms we have:
[tex] y+3 = 2x -8[/tex]
And subtracting 3 in both sides we got:
[tex] y = 2x -11[/tex]
Step-by-step explanation:
For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: [tex] g(4) =-3, g'(4)=2[/tex]
So we need a function like this one:
[tex] y- y_o = m(x-x_o) [/tex]
For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:
[tex] y -(-3)=2(x-4)[/tex]
And if we reorganize the terms we have:
[tex] y+3 = 2x -8[/tex]
And subtracting 3 in both sides we got:
[tex] y = 2x -11[/tex]
Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3/5 of his share of the money to his mother. How much money does Lionel give to his mother?
Answer:
$225
Step-by-step explanation:
Total share ratio = 4+5 = 9
Lionel's ratio = 5
Lionel's share = (5/9) × 675
= $375
Lionel's mum = (3/5) x 375
= $225
Solve the system of equations by elimination.
2x + 2y = -2
3x - 2y = 12
5x = 10
x = 2
2(2) + 2y = -2
4 + 2y = -2
2y = -6
y = -3
Let A, P, and D by n x n matrices. Mark each statement true or false. Justify each answer.
a. A is diagonalizable if A = PDP^-1 for some matrix D and some invertible matrix P. Choose the correct answer below.
O The statement is true because the columns of P are the n linearly independent eigenvectors of A.
O The statement is false because A must have n distinct eigenvalues for the matrix D and P to exist.
O The statement is true because if A = PDP^-1, then A is diagonalizable by definition.
O The statement is false because the symbol D does not automatically denote a diagonal matrix.
Answer:
Correct answer is the 4th answer.
Step-by-step explanation:
By definition, a matrix is called diagonalizable if there exists some invertible matrix P and a diagonal matrix D such that AP = PD, which is equivalent to having A = PDP^-1.
We are not told that D is a diagonal matrix, hence, it could be any matrix. If A=PDP^-1 for some matrix D that is not diagonal, it doesn't imply that A is diagonalizable. Consider the following case: Let us take A a non diagonalizable matrix. Take D = A and P = identity matrix of size n. Then, this equation holds, but A is still not diagonalizable.
una mulita está atada a un aranjo la mulita aburrida ha dado vueltas y vueltas alrededor del árbol manteniendo estirada la cuerda sin que ésta Se enrolle si la distancia que hay de la mulita al centro del árbol es de 5 metros qué distancia habrá recorrido después de dar 150 vueltas
Answer:
[tex]\Delta s_{T} = 4712.4\,m[/tex]
Step-by-step explanation:
(This exercise is written in Spanish and for this reason the response will be presented in such language).
La distancia recorrida por la mulita tras una vuelta es:
[tex]\Delta s = 2\pi\cdot (5\,m)[/tex]
[tex]\Delta s \approx 31.416\,m[/tex]
Ahora, la distancia recorrida total es directamente proporcional a la cantidad de vueltas invertidas. Este indicador se determina por regla de tres simple:
[tex]\Delta s_{T} = \frac{150}{1}\times (31.416\,m)[/tex]
[tex]\Delta s_{T} = 4712.4\,m[/tex]
there are 7 row of 9 people how many people in all
Answer:
63
Step-by-step explanation:
You simply just multiply the 7 and 9.
5b + 1 is at most 51
Step-by-step explanation:
5(10)+1
50+1
51
10 could be one possible answer
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
9/23
Step-by-step explanation:
Of the 23 students, 9 play both baseball and basketball. The probability of choosing one of those is 9/23.
___
Let A represent basketball, and B represent baseball. Then ...
P(A or B) = P(A) +P(B) -P(A and B)
Since 8 students play neither sport, we have ...
1 -8/23 = 11/23 +13/23 -P(A and B)
15/23 = 24/23 -P(A and B)
P(A and B) = (24 -15)/23
P(A and B) = 9/23
The equation of a circle is given below.
9
x^2+ (y - 7.5)^2 =9/49
What is its center?
Answer:
(0, 7.5)
Step-by-step explanation:
Compare the equation to the standard-form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . center at (h, k); radius r
You will notice that ...
h = 0
k = 7.5
The center is (h, k) = (0, 7.5).
The graph below is the graph of a function.
True or false
Answer:
False
Step-by-step explanation:
there is more than one y-value for some x-values
slope of the line with points (4,-2) and (24,-17)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1
-17+2 divided by 24-4
-15/20
-3/4
Answer:
-3/4
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/(20)
= -15/20
=-3/4
Which of the following choices describes volume?
a
The amount of juice a carton can hold.
b
The weight of a bowling ball.
c
How tightly the molecules in a glass of water are packed together.
d
The temperature that must be reached for ice to melt.
Answer:
C. How tightly the molecules in a glass of water are packed together
Step-by-step explanation:
Volume of a substance is different according to the state of the matter.
So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup
So volume can be the measure of how tight the molecule of that substance ate together.
In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?
Answer:
Parameter
Step-by-step explanation:
A statistic describes a sample. A parameter describes a population. Since the entire population of second graders in the district is surveyed, this is a parameter.
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
What is 3/10 out of $60
3/10 out of $60 equals $18
**10 POINTS PLEASE HELP**
The perimeter of △PQR is 44 cm, and △PQR ~ △WXY. If PQ = 12 and XY + WY = 24, what is the perimeter of WXY? Complete the explanation.
Since the perimeter of △PQR = 44, QR + PR = 44 − PQ, or ____ cm. This is proportional to the sum XY + WY, because the two triangles are (similar or congruent)
so their corresponding sides are (not proportional or proportional). Their ratio is 24:__ , or 3:__ , which is the same ratio as their perimeters, 3/___ = P/44, so P = ___ cm.
Answer:
Since the perimeter of ΔPQR = 44, QR + PR = 44 - PQ, or 32 cm. This is proportional to the sum XY + WY, because the two triangles are similar so their corresponding sides are proportional. Their ratio is 24:32 or 3:4, which is the same as their perimeters, 3/4 = P/44, so P = 33 cm.
Step-by-step explanation:
The given parameters are;
ΔPQR ~ ΔWXY
Perimeter of ΔPQR = 44
PQ = 12
XY + WY = 24 based on position is proportional to QR + PR
However, the perimeter of ΔPQR = PQ + QR + PR = 44
Therefore, QR + PR = 44 - PQ = 44 - 12 = 32
Hence, XY + WY = 24 based on position is proportional to QR + PR = 32
If XY:QR = WY:PR we get (XY + WY):(QR + PR) (common factors)
∴ (XY + WY):(QR + PR) = 24:32 = 3:4
By extension, (WX + XY + WY):(PQ + QR + PR) = 3:4
Where: WX + XY + WY = P and PQ + QR + PR = 44 we have;
P:44 = 3:4 or 3/4 = P/44
From which P = 44 × 3/4 = 33 cm.
The function F(c)=log0.5x is decreasing true or false
Answer:
true
Step-by-step explanation:
We assume you intend your function to be ...
[tex]F(x)=\log_{0.5}x[/tex]
A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.
Use angles shown to make other angles
Answer:
angle ABC and angle KLM
Step-by-step explanation:
Angle ABC equals to 35 degrees and KLM equals to 95 degrees. Their sum equals 135 degrees.
Answer:
The answer is B and C.
Step-by-step explanation:
When these 2 angles are added together, they form 130° :
∠ABC + ∠KLM = 35° + 95°
= 130°
how do you change the equation 10q−5r=30 so that r is the independent variable?
Answer:
r=2q-6
Step-by-step explanation:
10q-5r=30
Subtract 10q from both sides:
-5r=30-10q
Divide both sides by -5:
r=2q-6
Hope this helps!