Answer:
qr and pq
Step-by-step explanation:
Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?
Answer:
x = 4; y = 12
Step-by-step explanation:
The value of x and y is 4,12., the correct option is C.
What is a Matrix?A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.
The matrix A is
[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]
The matrix Ax is
[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]
The matrix Ay is
[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]
The determinant for all the matrices is
|A| = -15/4
|Ax| = -15
|Ay| = -45
The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4
The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12
Therefore, the value of x and y is 4,12., the correct option is C.
To know more about Matrices
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Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
Brainliest
-4/7(1/3 x 22)
The answer must be written as a mixed number.
write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3
y=0.625x+1.75 is the equation for your problem.
One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your probabilities as fractions.)
Required:
a. Find the probability that both cards are clubs.
b. Find the probability that the first card is a spade and the second is a club.
Answer:
We have a 52 card deck:
a. Find the probability that both cards are clubs.
The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.
We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:
p1 = 13/52.
Now the probability of drawing a club in the second draw will be:
p2 = 12/51
Where each number is decreased by one because we already drew a card, and that card was a club.
Then the probability of both events happening will be equal to the product of the individual probabilities:
P = p1*p2 = (13/52)*( 12/51) = 0.059
b. Find the probability that the first card is a spade and the second is a club.
Same as before, the probability of first drawing a spade is:
p1 = 13/52
And the probability of drawing a club in the second draw will be:
p2 = 13/51
This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.
Now the joint probability will be:
P = p1*p2 = (13/52)*(13/51) = 0.064
Write the ratio as a fraction in simplest form. 27 to 72
Answer: The ration for 27:71, would be 3/8. Hope this helps!
in ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC
Answer:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Step-by-step explanation:
Given that:
D is a point on AB.
and ABC is a triangle.
AD:DB = 1 : 3
Area of [tex]\triangle[/tex]CDB = 12 [tex]ft^2[/tex]
Kindly refer to the attached image as per the given dimensions and values.
To find:
Area of [tex]\triangle[/tex]ACD and Area of [tex]\triangle[/tex]ABC = ?
Solution:
Formula for area of a triangle = [tex]\frac{1}{2}\times Base \times Height[/tex]
The altitudes of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD are equal in dimensions.
Therefore the area of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD will be equal to the ratio of their bases.
Area of [tex]\triangle[/tex]ACD : Area of [tex]\triangle[/tex]CDB = AD: DB = 1 : 3
[tex]\Rightarrow[/tex] Area of [tex]\triangle[/tex]ACD = [tex]\frac{12}{3} = \bold{4 ft^2}[/tex]
Area of [tex]\triangle[/tex]ABC = Area of [tex]\triangle[/tex]ACD + Area of [tex]\triangle[/tex]CDB = 12 + 4 = 16 [tex]ft^2[/tex]
Therefore, the answer is:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
If x = y and y = Z, which statement must be true?
A. ZX
B. -X Z
C. - x = -2
O
a
D. X Z
Answer:
D. XZ
Step-by-step explanation:
A school wants to rent a cotton candy machine for a carnival. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115. Assume the relationship is linear. Which equation represents this relationship?
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?
The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
did the quiz
13x456+345 divided by 45x265-256=?
Answer:
7703.66666667
Step-by-step explanation:
What is the image point of
(
−
4
,
7
)
(−4,7) after a translation left 4 units and down 4 units?
Answer:2,7
Step-by-step explanation: I honestly don’t know this might not be right
help me plz i dont get it its alot ill mark brainliest
Answer:
I CANT SEE IT sorry caops
Step-by-step explanation:
if i could see i could answer
Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?
Answer:
No you dont have to solve it. And I believe it is perpendicular.
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must be equal to n2 B. n1 must be smaller than n2 C. n1 must be larger than n2 D. n1 and n2 can be of different sizes
Answer:
D. n1 and n2 can be of different sizes
Step-by-step explanation:
When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.
These are:
- Sample size of both populations. Which are n1 and n2 respectively.
- then the Sample mean of two populations
- sample standard deviation.
The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
For which equation does x = 2?
Answer:
what are the equations
Step-by-step explanation:
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?
Answer:
21%
Step-by-step explanation:
195 divided by 245 = 0.79 approximately
100-79=21
Always divide the small number by the big number for percentages
Good luck!
A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded in the truck. How many more candles are left to load on the truck? Please help me
Answer:
34
Step-by-step explanation:
just guessing but u gotta really put a mind to it aha
Multiply.
(−0.64)(−2.5)
Enter your answer as a decimal in the box.
Answer:
1.6
Step-by-step explanation:
Hope this helps! :-)
The boiling point of water in the Fahrenheit scale is 212 degrees ?
True
False
Help
The answer fam is........True (212°F)
which expression is equivalent to the given expression 4(a-3)
-8a
4a-12
4a-3
-4(a+30
Answer:
4a-12
Step-by-step explanation:
4(a-3)=4a-4×3=4a-12
Find the measure of angle b.
4)
36°
what do you guys think
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn? A. $33 B. $35.50 C. $45 D. $53
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25
Answer:
$2.25
Step-by-step explanation:
To find the cost per pound you have to divide $54 by 24.
A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?
Answer:
Step-by-step explanation:
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4
Write the first 4 terms of the sequence defined by the rule. f(n) = n + 10
Answer:
n(1) = 11, n(2) = 12, n(3) = 13, n(4) = 14
Step-by-step explanation:
What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?
Drag an expression or value to the boxes to correctly complete the equation.
Answer:
[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]
Step-by-sep explanation:
Given:
Diameter of circle = 20 units
Center of circle = (-1, 7)
Standard form of the equation of a circle is expressed in the center-radius form as:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex],
Where,
h = -1
k = 7
r = ½ of diameter = ½(20) = 10 units
Plug in the values into the equation
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
[tex] (x - (-1))^2 + (y - 7)^2 = 10^2 [/tex]
[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]
The equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
The standard form of the equation of a circle is:
[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]
From the question, we have:
[tex]\mathbf{(a,b) = (-1,7)}[/tex]
[tex]\mathbf{r = \frac{1}{2} \times 20 = 10}[/tex]
So, the equation becomes
[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]
Substitute values for (a), (b) and (r)
[tex]\mathbf{(x +1)^2 + (y -7)^2 =10^2}[/tex]
Express 10^2 as 100
[tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
Hence, the equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
Read more about equations of circles at:
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