A=[2 3) B=(1 2) find AB
[0 8) (2 -1)
Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.
Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].
The result of matrix multiplication, AB, will also be a 2x2 matrix.
To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.
The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:
(21) + (33) = 2+9 = 11
The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:
(22) + (34) = 4+12 = 16
The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:
(41) + (53) = 4+15 = 19
The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:
(4*2)
Step-by-step explanation:
Which r-value is the best estimate of the correlation coefficient for the variables in the scatter plot?
The best estimate of the r-value of the correlation coefficient for the variables shown in the scatter plot is: C. r = 0.64.
How to Estimate Correlation Coefficient on a Scatter Plot?The farther the points are from each other along the trendline, the closer the r-value is to zero and vice versa.
If the trendline is increasing upwards to your right, the r-value would be positive, and vice versa.
Th scatter plot given shows the trendline is increasing, and the data points are moderately spaced out along the trendline from each other.
Therefore, the best estimate for the r-value is: C. r = 0.64.
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Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0). What are the coordinates of Point D?
The coordinates of Point D are (2.5, 8).
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).
We have to find the coordinates of Point D.
Let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We know that the diagonals of a parallelogram bisect each other.
So, O is the midpoint of AC as well as that of BD.
Using the midpoint formula,
Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]
⇒ Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]
Now,
Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]
⇒
[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]
Hence, the coordinates of Point D are (2.5, 8).
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Solve for the area of the combined shape
Answer:
47 cm²
Step-by-step explanation:
3(9 - 4) + 8 × 4 = 15 + 32 = 47
TEXT ANSWER
How can you use the unit price to find the cost of 10
pounds of tomatoes? Please help
To find the cost of 10 pounds of tomatoes, multiply 10 by the unit cost of tomatoes.
What is the unit cost?
The cost a business incurs to create, store, and sell one unit of a specific product is known as the unit cost. All fixed and variable production expenses are included in unit costs. Cost units are a way to measure the quantity of a good or service.
Unitary method: The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
The unitary method is used to find the unit cost of an object.
To find the cost of a unit object, multiply a by unit cost.
Given that, the unit cost of a unit pound of tomatoes.
The cost of 10 pounds of tomatoes is 10 × unit price of tomatoes.
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PLEASE HELP!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Exact Circumference = 4pi feet
Approximate Circumference = 12.56 feet (when using pi = 3.14)
======================================================
Explanation:
The larger circle has a 3 foot radius.
The inner circle has a 3-1 = 2 foot radius.
Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.
C = 2pi*r
C = 2pi*2
C = 4pi
The exact circumference is 4pi feet. This is the perimeter around the circle.
If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.
Each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192. Describe how untruthful answers might lead to bias in this survey. Does the stated margin of error account for this possible bias
Answer:
The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval
Step-by-step explanation:
Random sample = 300
99% confidence interval of student who cheat : 0.052 to 0.192
The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.
Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.
Sarah and Bridget have played 45 tennis matches.
Sarah has won 15 times.
Bridget won the rest.
a) Estimate the probability that Sarah wins.
b) Estimate the probability that Bridget wins.
P(Sarah wins)=
P(Bridget wins)=
Answer:
P(Sarah wins)= 1/3
P(Bridget wins)= 2/3
Step-by-step explanation:
15/45 = 1/3
1 - 1/3 = 2/3
-5b + 35 = 85
Help pls
Answer:
-10
Step-by-step explanation:
-5b + 35 = 85
-5b = 50
-5b/-5 = 50/-5
b = -10
Answer:
B = -10
Step-by-step explanation:
-5b + 35 = 85
work is shown in picture
There are 14 math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?
Answer:
SEE EXPLANATION
Step-by-step explanation:
Add all amount of teachers together
14+26 = 40
14:40
Simplified: 7/20 or 7:20
Ratios are just like fractions and can usually be put in this format
Answer:
7:20
Step-by-step explanation:
14+26=40
40 equals the total amount of teachers. Since we want to do the ratio of math teachers to the total of all teachers, we had to find 40.
You get 14:20 though if you want to simplify, find to common denominator (2) and dived both sides by it.
14/2 = 7
40/2 = 20
= 7:20
4.
At Juicy Deals grocery store, 4 oranges
cost $7.00. You can buy 7 oranges
for $12.50.
Is the relationship between the number of
oranges and their price proportional?
Explained step by step please
Answer:
True
Step-by-step explanation:
Let's call
x: number of oranges
y: price
The relationship between x and y is proportional if they fulfill the following condition.
y / x = k
where,
k is a proportionality constant
Then,
6 / 4 = 15 / 10 = 1.5
Since x and y fulfill the condition, they have a relationship of proportionality.
please help me i need it
(101,2,108,104,102,107,109,102) what is the best measure of center for this data set
Answer:
q02 because it is showed the most times
Block B
0 1 2 3 4 5 6
Each dot on the dot plot represents one household on the block. The numbers represent how many mobile devices are in the
households. When comparing the data sets, which TWO statements are correct?
A)
The number of devices per household varies more on Block B
B)
The median number of devices for Block A and Block B is 5.
Each block has 35 devices.
D)
The greatest number of devices in one household is 6.
E)
The least number of devices in one household is 1
Answer:
a and d
Step-by-step explanation:
Statements the number of devices per household varies more on Block B and the least number of devices in one household is 1 are true.
What is a dot plot?A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.
Block A:
Number of mobile devices are 15.
Greatest number of devices are 5 and the least number of device is 1.
Median is 3.
Block B:
Number of mobile devices are 15.
Greatest number of devices are 4 and the least number of device is 1.
Median is 2.
Therefore, statement A and E are correct.
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The piggy bank has 71 dimes and quarters with a
value of 12.35 dollars. How many of each coin are there
Answer:
35 Quarters and 36 Dimes
Step-by-step explanation:
d + q = 71
10 + 25 = 1235
10 x 36 = 360
25 x 35 = 875
360 + 875 = 1235
Answer:
There are 35 quarters and 36 dimes.
Step-by-step explanation
x = the number of quarters
y = the number of dimes
x + y = 71
0.25x + 0.1y = 12.35 ---> multiply this equation by 100
now...
25x + 10y = 1235
x + y = 71 ----> multiply this equation by -25
25x + 10y = 1235
-25x - 25y = -1775
[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]
y = 36 dimes
next step
x + y = 71
x + 36 = 71
- 36 - 36
x = 35 quarters
Select the answer with the correct number of significant figures for each calculation. 31.580 + 4.26 = 35.8 35.84 35.840
Answer:
35.84
Step-by-step explanation:
Find f(5): x2 + x + 5
Answer:
20
Step-by-step explanation:
Please help will mark Brainly
Let C be the number of children who used the public swimming pool and A be the number of adults.
The total number of people at the pool is given by the equation: C + A = 660
The total cost of admission for all the people at the pool is given by the equation: 1.5C + 2.5A = 1279
Solving the system of equations using substitution, we get:
A = 289 and C = 371
There were 371 children and 289 adults at the public pool on the hot summer's day.
Which expression is equivalent to 4y^6+8y^4/2y^2, if y does not equal 0?
A. 2y^3+4y^2
B. 2y^4+4y^2
C. 1/2y^3+4y^2
D. 1/2y^4+4y^2
9514 1404 393
Answer:
The correct answer choice is marked
Step-by-step explanation:
The distributive property can be used here.
[tex]\displaystyle \frac{4y^6+8y^4}{2y^2}=\frac{4y^6}{2y^2}+\frac{8y^4}{2y^2}=2y^{6-2}+4y^{4-2}=\boxed{2y^4+4y^2}[/tex]
A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify
Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation:
Rico has 1 3/4 feet of rope. He needs 3/4 foot for each craft he is making. How many crafts can he make from his rope? Solve using the standard algorithm. Write your answer in equation form.
NO links or I WILL REPORT AND HAVE YOU BANNED
Answer:
2 crafts
Step-by-step explanation:
1 3/4 = 7/4
7/4 / 3/4 = 2.5
The question asks for whole crafts, not halves so the answer is not 3 or 2.5 but 2
A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end
to end, then how many inches will they cover? *
Answer:
48 1/3
Step-by-step explanation:
Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3"). ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
7. Find the slope and y-intercept of the line given by -6x - 18y = 20.
Answer:
Given,eqn is -6x-18y=20
or,-18y=6x+20
or,y=6x+20/-18
or,y=6x/-18 +20/-18
or,y= - X/3 -10/9
Comparing above eqn with y=mx +c,we get
m= -1/3 and y-intercept (c)=-10/9
*Mark me brainliest
Answer:
slope: -1/3 y-int: -10/9
Step-by-step explanation:
first step is to turn the equation into slope intercept form (y=mx+b)
-6x-18y=20
+6x +6x
-18y=6x+20
divide -18 on both sides
y=-1/3x-10/9
the m is the slope, and the b is the y-intercept
a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
[tex]P = 2(a+b)[/tex]
We take 'x' to find out which side is longer
[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]
[tex]2 = x[/tex]
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a [tex]\geq[/tex] Side b
Hence, side a is longer
a line has a slope of 5. it passes through the points (-5, -1) and (x, 9). what is the value of x?
A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3
We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]
the slope is given by the following formula:
[tex]slope=y2-y1/x2-x1[/tex]
In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)
Hence,
[tex]5=9-(-1)/x-(-5)[/tex]
[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]
Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).
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How many Solutions does the equation 3x -5 = -3 have ?
Answer:
One solution
Step-by-step explanation:
The only solution is x = 2/3
Answer:
3x-5=-3=19
Step-by-step explanation:
From a point 235 meters from the base of a cliff, the angle of elevation to the cliff top is 25 degrees. Find the height of the cliff.
please provide a diagram and step by step answers thanks
Answer:
X=110
Step-by-step explanation:
The height of the cliff is 109.58 meters.
What is Angle of Elevation?Angle of elevation is the angle which is between a horizontal line and the line of sight which is pointed upwards.
Given that,
We get a right angled triangle ABC where A represents the base of the cliff and C is the point of the top of the hill.
B is the point which is at a distance of 235 meters from the base of a cliff.
Length of AB = 235 meters
Angle of elevation to the cliff top, ∠B = 25 degrees
AC represents the height of the cliff. Let it be x.
Using the trigonometric ratio,
tan B = AC / AB
tan 25 = x / 235
x = 235 × tan 25
= 109.58 meters
Hence the height of the cliff is 109.58 meters.
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Which of the following is equal to the expression listed below?
27 + 36
A.
9 + (3 × 4)
B.
(9 + 3)(9 + 4)
C.
9(3 + 4)
D.
(9 × 3)(9 × 4)
I really need help with this omg
Answer:
its d kkkkkkkkkkkkkkkkkkkkkk
NO LINKS OR FILES PLEASE. A charity fundraiser charges 779 dollars per plate. If there are 87 guests at the fundraiser, how much money did they earn?
Answer:
They would earn 67,773 dollars!! Hope this helped u!! ;)
Step-by-step explanation:
You times 779 times 87 = 67,773
Answer:
$67773
Step-by-step explanation:
Your equation would be 779 * 87 = 67773 because for each person they are going to charge 779 dollars and there are 87 people.