Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer
Marco drew 24 pictures he drew 1/6 of them in art class how many pictures did marco draw in art class
Consider the quadratic equation y^2-y=6. What is the error with the solution below?
The error in the given solution to the quadratic equation y²-y=6 is identified and corrected step by step.
In the given quadratic equation y²-y=6, the mistake in the solution provided is the incorrect manipulation of the equation. To find the correct solution, follow these steps:
Re-write the equation as y² - y - 6 = 0.
Factor the quadratic equation as (y - 3)(y + 2) = 0.
Solve for y by setting each factor to zero: y = 3 or y = -2.
each side of a square shaped room is 7 ft long what is the rooms area
Breanna sold 1,200 Of Clothes At The dress shop and earned a commission of $210. What is her commission percent?
A stock had returns of 11 percent, -18 percent, -21 percent, 20 percent, and 34 percent over the past five years. what is the standard deviation of these returns?
a. 18.74 percent
b. 20.21 percent
c. 20.68 percent
d. 24.01 percent
e. 23.49 percent
The standard deviation of the returns is 21.5 percent.
Explanation:To calculate the standard deviation of the returns, we need to follow these steps:
Calculate the mean of the returnsSubtract the mean from each return to find the deviationsSquare the deviationsCalculate the mean of the squared deviationsTake the square root of the mean of the squared deviationsLet's perform these steps:
The mean of the returns is (11 - 18 - 21 + 20 + 34) / 5 = 5.2 percentThe deviations are (11 - 5.2) = 5.8, (-18 - 5.2) = -23.2, (-21 - 5.2) = -26.2, (20 - 5.2) = 14.8, (34 - 5.2) = 28.8 percentThe squared deviations are 33.64, 538.24, 685.44, 219.04, 829.44 percent squaredThe mean of the squared deviations is (33.64 + 538.24 + 685.44 + 219.04 + 829.44) / 5 = 461.96 percent squaredThe square root of the mean of the squared deviations is sqrt(461.96) = 21.5 percentTherefore, the standard deviation of the returns is 21.5 percent.
PLEASE HELP WILL GIVE BRAINLIEST!!!******** William invested $7000 in an account that earns 4.5% interest, compounded annually.
What is the total surface area of the figure shown
Answer: The total surface area is 2784 sq. inches.
Step-by-step explanation: We are given to find the total surface area of the given figure.
Let us divide the figure into two two cuboids 1 and 2 as shown in the attached figure.
We know that the surface area of a cuboid with length 'l', breadth 'b' and height 'h' is given by
[tex]S.A.=2(l_1b_1+l_1h_1+h_1b_1).[/tex]
The dimensions of the cuboid 1 are
[tex]length,~l_1=14~\textup{inches},\\\\breadth,~b_1=12~\textup{inches},\\\\height,~h_1=24-10=14~\textup{inches}.[/tex]
The dimensions of the cuboid 2 are
[tex]length,~l_2=30~\textup{inches},\\\\breadth,~b_1=14~\textup{inches},\\\\height,~h_1=10~\textup{inches}.[/tex]
Therefore, surface area of cuboid 1 is given by
[tex]S.A_1\\\\=2(l_1b_1+l_1h_1+h_1b_1)\\\\=2(14\times 12+14\times 14+14\times 12)\\\\=2(532)\\\\=1064~\textup{sq. inches.}[/tex]
And surface area of cuboid 2 is given by
[tex]S.A_2\\\\=2(l_2b_2+l_2h_2+h_2b_2)\\\\=2(30\times 14+30\times 10+14\times 10)\\\\=2(420+300+140)\\\\=2(860)\\\\=1720~\textup{sq. inches}.[/tex]
Thus, the total surface area of the figure is
[tex]S.A.=S.A_1+S.A_2=1064+1720=2784~\textup{sq. inches}.[/tex]
A farmer has harvested 60% of his crops. If he has harvested 72 acres, how many acres does the farmer have in all?
Answer:
120 Acres
Step-by-step explanation:
We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.
The farmer has 120 acres in total.
We know that the 60% of the farmer crops is equivalent to 72 acres.
Now we want to find the 100%.
Then we write two equations:
100% = X
60% = 72 acres
Now we want to solve this for X.
To do it, we first take the quotient between the two equations:
100%/60% = X/(72 acres)
Now we solve this for X:
(100%/60%)*(72 acres) = X = 120 acres.
The farmer has 120 acres in total.
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6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)
Solution:
we are given that
6 students share 4 bagels equally.
we have been asked to find that
How many pieces does each person get?
Here we will have to use the concept of division. Because we are dividing bagels among the students.
So To get the number of pieces each will get divide 6 by 4.
Number of Pieces for each boys [tex] =\frac{6}{4}=\frac{3}{2}=1\frac{1}{2} \\ [/tex]
Is this triangle a right triangle?
determine the values of x and y.
DEFG is a parallelogram.
DH = x + 3
HF = 3y
GH = 4x - 5
HE = 2y + 3
A) x = 2 and y = 3
B) x = 3 and y = 2
C) x = 3 and y = 6
D) x = 6 and y = 3
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Appliances are selling at 101.294. If all of the bonds mentioned have a par value of $1,000 apiece, how much will it cost George to purchase one from each corporation? a. $3,051.28 b. $3,000.00 c. $3,305.12 d. $2,694.88
Answer:
A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE
Step-by-step explanation:
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Chris bought n packs of pencils. Each pack has 10 pencils. Write an equation to represent the total number of pencils p that Chris bought.
The annual interest rate on a loan is 10% which can be represented using the expression 1.10t. Write an expression that represents the quarterly interest rate.
Explain what equivalent fractions are and give an example.
Question 30 Unsaved
What is the net force acting on a golf car traveling at a constant speed of 5 mph?
0 N
10 N
5 N
15 N
Use the appropriate property of determinants to find
a.a. do not evaluate the determinants.
The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.
Explanation:Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.
When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.
What will it cost to carpet a rectangular floor measuring 21 feet by 24 feet if the carpet costs $ 31.96 per square yard?
what is the solution of the equation sqrt 5x-7 = sqrt 3x+5 ?
x=6 loves because it just does
Help with this math question please
A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower. The wire makes an angle of 65° with the ground. Draw a diagram and find the length of the guy wire. 4.2 yd. 11.0 yd. 23.7 yd.
Answer:
23.7 yards
Step-by-step explanation:
Given :A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower. The wire makes an angle of 65° with the ground
To Find: Draw a diagram and find the length of the guy wire
Solution :
Refer the attached figure
We are given that A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower i.e. AC = 10 yards
We are also given that wire makes an angle of 65° with the ground i.e. ∠BAC = 65°
Now to find the length of the guy wire i.e. AB
We will use trigonometric ratio.
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
[tex]cos 65 ^{\circ} = \frac{AC}{AB}[/tex]
[tex]0.4226= \frac{10}{AB}[/tex]
[tex]AB= \frac{10}{0.4226}[/tex]
[tex]AB= 23.66[/tex]
Thus AB = 23.66 yards ≈ 23.7 yards
Hence the length of the guy wire is 23.7 yards
simplify -1/2x+3-4x+5+3/2x
The walking distance from the Empire State Building in New York City to Times Square is about 9/10 mile. The walking distance from the Empire State Building into sues hotel is 8 times as far
Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Step-by-step explanation:
Since we have given that
Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]
According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.
So, Walking distance from the Empire State Building into Sues Hotel is given by
[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]
Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Jack is learning to play piano. He knows that a piano has 88 keys and that there are 12 unique keys in each group called octave. How many complete octaves are on a piano?
Answer:
7 octaves
Step-by-step explanation:
Total number of keys in piano = 88 keys
Numbers of keys in each group called octave= 12 unique keys
We have to find the number of complete octaves on piano
Number of octaves consists of 12 keys= [tex]\frac{Total number of keys}{12}[/tex]
Number of octaves consists of 12 keys= [tex]\frac{88}{12}[/tex]
Number of octaves consists of 12 keys= 7 octaves
Hence, the correct answer is 7 octaves
At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 23 knots and ship b is sailing north at 17 knots. how fast (in knots) is the distance between the ships changing at 4 pm?
The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.
Explanation:To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.
Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.
A rectangular kitchen floor measures 18 feet by 15 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator?
Number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
Given that, a rectangular kitchen floor measures 18 feet by 15 feet.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Area of a rectangular kitchen floor
= 18×15
= 270 square feet
Area covered by a stove
= 3×4
= 12 square feet
Area covered by a refrigerator
= 4×5
= 20 square feet
Area covered by tiles
= 270-(12+20)
= 270-32
= 238 square feet
Therefore, number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
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CAN SOMEONE HELP (AND HELP ME UNDERSTAND)
Which is a counterexample to this conjecture? The sum of any two consecutive integers is a composite number. A. 16 + 17 = 33 B. 10 + 11 = 21 C. 6 + 7 = 13 D. 7 + 8 = 15
Final answer:
The sum of two consecutive integers being composite is disproved by the example 7 + 8 = 15, which is prime.
Explanation:
Counterexample: The sum of any two consecutive integers being a composite number is disproved by the example: 7 + 8 = 15, which is a prime number and not composite.
Explanation: A composite number is a positive integer that has more than two distinct positive divisors. In the case of 7 + 8 = 15, 15 only has divisors 1 and 15, making it a prime number, not composite.
Understanding Conjectures: Counterexamples are essential in mathematics to disprove conjectures by showing cases where the given rule or statement does not hold true.
Convert the following decimal to a common fraction. Reduce to lowest terms 0.2 =