Two pounds of grapes cost $6. How many pounds of grapes can you buy with $16.50?
Answer:
Step-by-step explanation: ok so what equation has a 6 in it and the sum is 16? Figure that out then you get your answer
Answer:
5.5 pounds
Step-by-step explanation
if 2 pounds is $6, then you have to do 6 divided by 2 which is 3. So you now know 1 pound of grapes is $3 so you do 16.50 divided by 3 which is 5.50.
A cylindrical flower vase has a height of 8 inches and a diameter of 4 inches. What is the volume of the vase? Use 3.14 for π
I kept getting the answer 401.92 and says it’s not correct, am I doing something wrong? This is what I did
V= π 4^2(8)
V= π 16(8)
V= π 124
V= 3.14 • 124 = 401.92
Reply with reasoning.
Answer:
v=pie r² ×h
v=3.14×2²×8
v= 100.48
Step-by-step explanation:
you are using diameter as the radius that is why exactly you are not getting it right! divide the diameter by 2 to get radius and use it with the formula
PLEASE HELPP!!
(look at the picture)
Answer:
Ok
Step-by-step explanation:
Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds
Step-by-step explanation:
Lily is shopping for new phone cases and notices a $141 phone case that is on sale for $125.76. What is the discount rate for the sale? Round to the nearest hundredth.
Answer:
I think you just subtract
Step-by-step explanation:
$141 (original price) - $125.76 (the discounted price)
=$15.24 (this is how much Lily saved)
A sandwich shop has 60 stores and 50% of the stores are in California. The rest of the stores are in Nevada. Part 1 out of 2 How many stores are in California and how many are in Nevada? There are stores in California and in Nevada. Next
Need it Now!
Answer:
100/50=one over two which is half and half of sixty is thirty so therefore thirty stores are in California and thirty stores are in Nevada too
31 points!
Find x.
A: 8
B: √8
C: 16
D: 4√2
Answer:
Answer is (A) 8
Step-by-step explanation:
Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
B
Step-by-step explanation:
Please help. I don’t understand any of these
Answer:
use M A T H W A Y
Step-by-step explanation:
What is the solution for the system of linear equations shown in the graph?
answers are in the second image
Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.
Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.
They also intersect above the x-axis so our y-coordinate must be positive.
So the only option with a negative x-coordinate
and a positive y-coordinate is (-1/4, 3/4).
You earn $7.50 per hour to help your uncle in his shop. You earn $33.75. Write and solve an equation to find how may hours you worked.
Answer:
x = 4.5
Step-by-step explanation:
Let's begin by writing the equation in words to express the worker's earnings:
Rate x Time = Earnings
Now let's rewrite this equation replacing the words with our given numerical facts and our unknown (x):
Rate x Time = Earnings
Rate = $7.50 per hour
Time = x (# hours worked)
Earnings = 33.75
(7.50)(x) = 33.75
Finally, we'll solve our equation for our unknown (x):
(7.50)(x) = 33.75
7.50x = 33.75
x = 33.75/7.50
x = 4.5 (# hours worked)
A hollow cylinder, given some initial velocity, rolls up an incline to a height of 1. 0 m without slipping. If a hollow sphere of the same mass and radius is given the same initial velocity, how high does it roll up the incline?.
The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.
To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:
PE = mgh
Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.
PE_cylinder = mgh_cylinder ... (1)
PE_sphere = mgh_sphere ... (2)
Since the initial velocity and mass are the same for both objects, we can equate their potential energies:
PE_cylinder = PE_sphere
mgh_cylinder = mgh_sphere
h_cylinder = h_sphere
Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.
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7. (I’ll give 30 points plus brainpower if you answer the ones in the photo)
Simplify.
x²+3x-4 over x+4
(Does it equal -4 ,4, or 1 at all? Which one does it not equal)
Today's spot rate of the Mexican peso is $.12. Assume that purchasing power parity holds. The U.S. inflation rate over this year is expected to be 8% , whereas Mexican inflation over this year is expected to be 2%. Miami Co. plans to import products from Mexico and will need 10 million Mexican pesos in one year. Based on this information, the expected amount of dollars to be paid by Miami Co. for the pesos in one year is:$1,378,893.20$2,478,192,46$1,894,350,33$2,170,858,42$1,270,588.24
The expected amount of dollars to be paid by Miami Co. for the pesos in one year is approximately $1,270,588.24. option e is correct.
We need to consider the inflation rates and the concept of purchasing power parity (PPP).
Purchasing power parity (PPP) states that the exchange rate between two currencies should equal the ratio of their price levels.
Let us assume that PPP holds, meaning that the change in exchange rates will be proportional to the inflation rates.
First, let's calculate the expected exchange rate in one year based on the inflation differentials:
Expected exchange rate = Spot rate × (1 + U.S. inflation rate) / (1 + Mexican inflation rate)
= 0.12× (1 + 0.08) / (1 + 0.02)
= 0.12 × 1.08 / 1.02
= 0.1270588235
Now, we calculate the expected amount of dollars to be paid by Miami Co. for 10 million Mexican pesos in one year:
Expected amount of dollars = Expected exchange rate × Amount of Mexican pesos
Expected amount of dollars = 0.1270588235 × 10,000,000
Expected amount of dollars = $1,270,588.24
Therefore, the expected amount of dollars to be paid by Miami Co. for the pesos in one year is approximately $1,270,588.24.
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The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?
Answer:
145
Step-by-step explanation:
1+1=?
5
2
4
7
this question is really hard and confusing
Answer:
I think it is 2
Step-by-step explanation:
I hope this is right! Please Rate Brainiest!
Answer:
its obv 478
Step-by-step explanation:
1+1=2 divoided by 400=294-478
Please help me on the this problem. Thanks
Eva is saving money for a trip. She is able to save $75 a week. Her friend
from Iceland, Annie, is also saving money. Annie is able to save 9000 Kronas
(Icelandic money) each week. If $4 is equal to about 500 Kronas, who is
saving at a greater rate?
a helicopter flying 1,600 feet above the ground spots an airplane flying above. if the horizonatal distance between the helicopter and airplane is 3055 feet and the angle of elevation is 71 degrees, find the airplane's altitude
The altitude of the airplane viewed from the helicopter is found to be 10459.5 ft.
The height of the helicopter is 1600 ft. above the ground and it spots a airplane above it.
The horizontal distance between the helicopter and the airplane is 3055 ft. and the angle of elevation 71 degrees.
Now, let us say that the airplane is flying at x ft. from the ground.
Now, the vertical distance between the helicopter and the airplane is (x-1600)ft.
Now, using tan theta,
tanA = perpendicular/base
Here, A is 71 degrees,
Perpendicular = (x-1600)ft.
Base = 3055ft.
Putting values,
tan(71) = x-1600/3055
2.9 = x-1600/3055
8859.5 = x-1600
x = 10459.5 ft.
So, the altitude of the airplane is 10459.5 ft.
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d+30=1.8d please help me solve this step by step asap
Answer:
37.5=d
Step-by-step explanation:
d+30 = 1.8d
add coefficient 1 to D so it's less confusing
1d +30 = 1.8d
isolate d
-1d
30= .8d
multiply by inverse to make d 1 whole
× 5/4 or 1.25
37.5 = d
Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)
Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)
Answer: he would save (9) hours (44) minutes on an airplane.
Step-by-step explanation: its easy just subtract 11 &2 & you'll get 9 hours but you don't do anything with the 44 & 23 all you have to do is put down 9 - hours & 44 - minutes. it's a piece of cakeplease rate me with 5 stars & thank me & hit the little crown please and thank you and if you want to be friends we can just friend me please and thank you and your welcome!!!!
if it is 2:00 what time would it be a half hour later
Answer:
2:30
Step-by-step explanation:
A half hour is 30 minutes.
Answer:
\(\huge\boxed{2:30}\)
Step-by-step explanation:
Half hour is 30 minutes.
So, Adding 30 minutes to 2:00 will be:
=> 2:30
Hope this helped!
~AnonymousHelper1807
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Who is good at algebra and is willing to help someone out with it-If so please help me I would really appreciate it
Here is the question
Write the equation of the line that passes through (-3,3) and is perpendicular to 2y=8x-6 in slope intercept form.
Answer:
4y = -x + 9
_______________________________
Answer:
Thanks for wasting my points, dont do that to peoples
Step-by-step explanation:
Determine the dimensions of Nul A, Col A, and Row A for the given matrix. 1 -3 -9 8 5 A= 0 1 2 8 -6
0 0 1 -9 8 0 0 0 -3 -6 The dimension of Nul A is __ (Type a whole number.) The dimension of Col A is __ (Type a whole number.) The dimension of Row A is __ (Type a whole number.)
Given matrix is A = 1 -3 -9 8 5 0 1 2 8 -6 0 0 1 -9 8 0 0 0 -3 -6To determine the dimensions of Nul A, Col A, and Row A for the given matrix.
The dimension of Null(A) can be found by solving the equation Ax = 0.The augmented matrix [A 0] can be row reduced to [R 0] where R has n leading 1s and n-k trailing zeros, where k = dim(Nul A).The Row Reduced Echelon Form (RREF) of matrix A can be written as1 0 -3 0 7 0 0 1 -2 0 0 0 0 0 0 0 0 0 1 -2 0 0 0 0where RREF has 3 leading 1's and 2 trailing zeros, so
dim(Nul A) = k
= 2.
Hence, dimension of Null(A) is 2.The dimension of Col A can be determined by considering the number of leading 1's in the RREF of A.The RREF of matrix A is1 0 -3 0 7 0 0 1 -2 0 0 0 0 0 0 0 0 0 1 -2 0 0 0 0The first, second, and fifth columns have leading 1's. Hence, the dimension of Col A = 3.
The dimension of Row A is same as the number of leading non-zero rows in the RREF of A.Hence, the dimension of Row A = 3.Dimensions of Nul A, Col A and Row A are 2, 3, and 3 respectively.
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Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors.
a 0.5905
b 0.3979
c 0.3995
d 0.4550
The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.
To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.
Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.
We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.
Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:
\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)
For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.
\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)
Therefore, the correct answer is (a) 0.5905.
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please answer both questions and give me the step by step instructions for these problems.
The simplified form of the expressions are 69-y/16 and -x/3 - 27 respectively
Solving algebraic equationAn algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
Given the following algebras
5-y/16 + 4
Find the LCM
5-y+4(16)/16
5-y+64/16
69-y/16
Hence the simplified form of the equation is 69-y/16
For the algebraic equation -3(x/8 + 9)
Expand
-3(x/8) + -3(9)
-3x/9 - 27
-x/3 - 27
Hence the simplified form of the expression is -x/3 - 27
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Determine the equation of the circle with center (7, -7) containing the point (11, -3).
We can say that after answering the offered question As a result, the equation for the circle with centre (7, -7) and point (11, -3) i\((x - 7)2 + (y + 7)2 = 32.\)
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
Determine the radius:
The radius of the circle is the distance between the circle's centre (7, -7) and any point on it (11, -3).
We may calculate the distance using the distance formula:
\(r = \sqrt((11 - 7)^2 + (-3 - (-7))\\v^2)\\r = \sqrt(4^2 + 4^2)\\r = \sqrt(32) (32)\)
In the standard form equation of a circle, substitute the centre and radius:
A circle with centre (h, k) and radius r has the following standard form equation:
\((x - h)^2 + (y - k)^2 = r^2\)
With h = 7, k = -7, and r = sqrt(32), we get:
\((x - 7)^2 + (y + 7)^2 = 32\)
As a result, the equation for the circle with centre (7, -7) and point (11, -3) is\((x - 7)2 + (y + 7)2 = 32.\)
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Maximize f(x,y)=6xy subject to the constraint equation x+y=14. the maximum occurs when x=___ y=___ and the maximum value is___
To maximize the function f(x, y) = 6xy subject to the constraint equation x + y = 14, we can use the method of Lagrange multipliers.
First, we define the Lagrangian function L(x, y, λ) as follows:
L(x, y, λ) = 6xy + λ(x + y - 14)
We need to find the critical points of L(x, y, λ), which satisfy the following equations:
∂L/∂x = 6y + λ = 0 (Equation 1)
∂L/∂y = 6x + λ = 0 (Equation 2)
∂L/∂λ = x + y - 14 = 0 (Equation 3)
Solving this system of equations, we can find the values of x, y, and λ.
From Equation 1, we have:
6y + λ = 0 ⟹ 6y = -λ ⟹ y = -λ/6 (Equation 4)
From Equation 2, we have:
6x + λ = 0 ⟹ 6x = -λ ⟹ x = -λ/6 (Equation 5)
Substituting Equations 4 and 5 into Equation 3, we get:
(-λ/6) + (-λ/6) - 14 = 0
⟹ -λ/3 - 14 = 0
⟹ -λ/3 = 14
⟹ λ = -42
Using λ = -42 in Equations 4 and 5, we find:
y = -(-42)/6 = 7
x = -(-42)/6 = 7
Therefore, the maximum value of f(x, y) occurs when x = 7, y = 7, and the maximum value is:
f(7, 7) = 6 * 7 * 7 = 294
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problem 1: Suppose T:R2→R4, T(e1) = (1, 2, 3, 4) and T(e2) =(5, 5, 0, 0), where e1=(1, 0)
and e2=(0,1). Find the standard matrix A of T, i.e., T(x)=Ax. Also,find T(x), where
x=(2,-3).
problem 2: Use coordinate vectors to verify that the polynomials1+2t2, 4+t+5t2, and 3+2t are
linearly independent in P2. (Identify the coordinate vectors ofthese polynomials
relative to the standard basis, and then show that these vectorsare linear
independent.)
Problem 1: The standard matrix A of T is A = [[1, 5], [2, 5], [3, 0], [4, 0]], and T(x) = [7, -1, 9, 8].
Problem 2: The coordinate vectors of the polynomials are [1, 0, 2], [4, 1, 5], and [3, 0, 2], and they are linearly independent in P2.
Problem 1:
The standard matrix A of T is given by the column vectors T(e1) and T(e2). Therefore, we can write A as:
A = [T(e1) T(e2)] = [(1, 2, 3, 4) (5, 5, 0, 0)] = [[1, 5], [2, 5], [3, 0], [4, 0]]
So the standard matrix A of T is:
A = [[1, 5], [2, 5], [3, 0], [4, 0]]
Now, to find T(x), where x=(2,-3), we simply multiply A by x:
T(x) = A*x = [[1, 5], [2, 5], [3, 0], [4, 0]]*[(2),(-3)] = [(-13), (-11), (6), (8)]
Therefore, T(x) = (-13, -11, 6, 8)
Problem 2:
The standard basis for P2 is {1, t, t^2}. The coordinate vectors of the polynomials 1+2t^2, 4+t+5t^2, and 3+2t relative to the standard basis are:
[1, 0, 2], [4, 1, 5], and [3, 2, 0]
To show that these vectors are linearly independent, we need to show that the only solution to the equation c1[1, 0, 2] + c2[4, 1, 5] + c3[3, 2, 0] = [0, 0, 0] is c1=c2=c3=0.
This equation can be written as a system of equations:
c1 + 4c2 + 3c3 = 0
c2 + 2c3 = 0
2c1 + 5c2 = 0
Solving this system of equations, we find that the only solution is c1=c2=c3=0. Therefore, the vectors [1, 0, 2], [4, 1, 5], and [3, 2, 0] are linearly independent.
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Select the correct values. if the area (in square units) of the region under the curve of the function f(x) = 3x − 1 on the interval [a, 4], where a < 4, is 12 square units, identify all the possible values of a.
Answer:
-2, 8/3
Step-by-step explanation:
You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...
A = (1/2)(f(a) +f(4))(4 -a)
= (1/2)((3a -1) +(3·4 -1))(4 -a)
= (1/2)(3a +10)(4 -a)
We want this area to be 12, so we can substitute that value for A and solve for "a".
12 = (1/2)(3a +10)(4 -a)
24 = (3a +10)(4 -a) = -3a² +2a +40
3a² -2a -16 = 0 . . . . . . subtract the right side
(3a -8)(a +2) = 0 . . . . . factor
Values of "a" that make these factors zero are ...
a = 8/3, a = -2
The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.
Alternate solution
The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.