Answer:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
Step-by-step explanation:
When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:
a column for the values of x in each equationa column for the values of y in each equationa column for the independent values of each equationsince our system of equations is:
[tex]3x-5y=12\\ 4x-2y=15[/tex]
we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:
[tex]\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right][/tex]
Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:
[tex]\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right][/tex]
Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:
[tex]\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right][/tex]
usually there is a line separating the columns for the values of x and y, and the independent values:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
this is the matrix of the system of equations
5,4,6,3 what comes next
Solve the equation and check your solution: 10 =1/3(x - 15).
Answer:
x=45
Step-by-step explanation:
10=1/3(x-15)
30=x-15
45=x
Answer:
Step-by-step explanation:
35
Choose an equation that can be used to solve the problem. Adrian’s backpack has a mass of 15 kilograms. Theresa’s backpack has a mass of 8 kilograms. What is the total mass of both backpacks? *
15 - 8= 7
15 x 8= 120
15 + 8 = 23
15 + 8 + 2 = 25
Write 21e-10 in standard form.
Answer:
you cant put this equation in standard form
Step-by-step explanation:
Simplify the following: Will give brainliest.NEED ANSWER ASAP
Answer
the answer is in the picture
Step-by-step explanation:
Answer:
[tex]\frac{2(2-x^2)}{5x}[/tex]
Step-by-step explanation:
Before we can subtract we require the fractions to have a common denominator.
Multiply the numerator/ denominator of the second fraction by x
[tex]\frac{4}{5x}[/tex] - [tex]\frac{2x^2}{5x}[/tex]
Now subtract the numerators leaving the denominator
= [tex]\frac{4-2x^2}{5x}[/tex] = [tex]\frac{2(2-x^2)}{5x}[/tex]
I don’t understand how to solve this
Please help me! I’ll give you some points.
Answer:
x=14°
Step-by-step explanation:
(6x + 2°) + (8x + 6°) + (7x + 4°) = 180°
21x + 12° = 180°
21x = 168°
x=14°
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
∠3 = ∠1
4x = x + 54
Subtract x form both sides
4x - x = x + 54 - x
3x = 54
Divide both sides by 3
3x/3 = 54/3
x = 18
∠1 = x + 54 = 18 + 54 = 72°
4) EFC is straight line
∠CFB +∠BFA +∠AFE = 180°
6x + 2 + 8x + 6 + 7x +4 = 180
6x+ 8x + 7x + 2 + 6 + 4= 180
21x + 12 = 180
21x = 180 - 12
21x = 168
x = 168/21
x = 8
How many different combinations are there of the digits 46987?
Answer:
1,00000,00,00
Step-by-step explanation:
The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.
While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.
The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.
Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.
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Ross forms all two-digit whole numbers using digits 1, 2, and 3. He allows digits to repeat. Select statement(s) that are CORRECT. *
probability of both digits being the same is a likely outcome
the probability that a number includes the digit 2 only once is 5/9
first digit greater than the second digit is equally likely as the first digit less than the second digit
23 is an unlikely outcome
Answer:
Probability of both digits being the same is a likely outcome (A) and;
The first digit is greater than the second digit is equally likely as the first digit less than the second digit (C)
Step-by-step explanation:
Question:
Ross forms all two-digit whole numbers using digits 1, 2, and 3. He allows digits to repeat. Select statement(s) that are CORRECT. *
a) probability of both digits being the same is a likely outcome
b) the probability that a number includes the digit 2 only once is 5/9
c) The first digit is greater than the second digit is equally likely as the first digit less than the second digit
d) 23 is an unlikely outcome
SOLUTION
Find attached how I got the value combination.
Forming a two-digit whole number with digit 1,2 and 3 where repetition is allowed:
11, 12, 13, 21, 22, 23, 31, 32, 33
Let's check which of the options are correct.
a) Is probability of both digits being the same is a likely outcome?
From the numbers we got: 11, 22 and 33 have both digits the same.
Yes, the probability is a likely outcome
Option A is correct
b) Let the probability that a number includes the digit 2 only once = Pr( 2 only once)
Pr( 2 only once) = (digits which have number 2 once / total number)
12, 21, 23, 32
Digits which have number 2 once = 4
Total = 9
Pr( 2 only once) = 4/9
4/9 is not same as 5/9
So option B is wrong
c)The first digit is greater than the second digit = 21, 31, 32 = 3 in total
the first digit less than the second digit = 12, 13, 23 = 3 in total
Yes, they are equal in number
Option C is correct
d) 23 is a likely outcome
Option D is wrong
(04.02 MC)
Researchers claim that 10% of people are left handed. Suppose the researchers' claim is true. Mr. Thomas has an Algebra class with
25 students. What is the probability that exactly 4 of them are left handed?
0
0.1384
0.1023
0.0729
0.9020
Answer:
0.1384
Step-by-step explanation:
Using binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Given n = 25, r = 4, p = 0.10, and q = 0.90:
P = ₂₅C₄ (0.10)⁴ (0.90)²⁵⁻⁴
P = 12650 (0.10)⁴ (0.90)²¹
P = 0.1384
*boop* i need help :P
15 divided by 6 2/3 =
A. 100/4
B. 23/4
C. 21/4
D. 100
Answer: [tex]2\frac{1}{4}[/tex]
Turn 6 2/3 into an Improper Fraction
Multiply [tex]6*3[/tex] and get 18. Now add [tex]2[/tex] and get [tex]20[/tex].
[tex]6\frac{2}{3} =\frac{20}{3}[/tex]
Do Keep Change Flip
Keep: [tex]15[/tex]
Change: ÷ into ×
Flip: 20/3 into 3/20
Your new Problem: [tex]\frac{15}{1} *\frac{3}{20}[/tex]
Multiply
[tex]\frac{15}{1} *\frac{3}{20}=\frac{45}{20}[/tex]
Simplify
[tex]\frac{45}{20} =2.25\\2.25=2\frac{1}{4}[/tex]
Answer:
[tex]2 \frac{5}{20} =2 \frac{1}{4} [/tex]
Answer C is correct.Step-by-step explanation:
[tex]
15 \div 6 \frac{2}{ 3 } \\ \frac{15}{1} \div \frac{20}{3} \\ \frac{15}{1} \times \frac{3}{20} \\ = \frac{45}{20} \\ = 2 \frac{5}{20} = 2 \frac{1}{4} [/tex]
Identify the function represented by the graph?
Answer:b
Step-by-step explanation: just common sense
To identify the function represented by a graph, one must analyze the slope, intercepts, and shape of the graph. The graph of a constant function is a horizontal line, while the predator-prey cycle would show an oscillating pattern. The potential energy graph in physics can display a double well pattern, while signal transduction might show a cascade over time, and motion graphs represent various types of movement.
Explanation:Identifying the function represented by a graph involves analyzing various elements such as the shape of the graph, its slope, and intercepts, as well as any restrictions on the domain. For instance, when you come across a graph of a function that appears as a straight line, it's crucial to look at the slope and y-intercept to determine the equation of the line. If the graph is a horizontal line, then the function represents a constant value indicating that no matter the change in the independent variable x, the dependent variable y remains the same.
For analyzing a predator-prey cycle, we need to recognize the typical oscillating pattern that represents populations of predators and preys over time. When interpreting graphs showing potential energy in physics, we are often looking at a function that might show the energy levels as a function of position, with critical points determined by solving relevant equations and considering derivatives to find minima and maxima.
In the context of a biological process such as signal transduction, creating a graph would involve plotting the stages of the signaling pathway over time, which would likely result in a plot showing the cascade of events leading from the signal to the final response. When considering the graphs of the position of a moving object over time, we might see different types of curves representing different types of motion, such as uniform motion depicted by a straight line or accelerated motion depicted by a parabolic curve.
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The current student population of the Brentwood student center is 2000 the enrollment at the center increases at a rate of 4% each year to the nearest whole number what will the student population be close to in three years.
Answer step by step clearly
Answer:
2250 People
Step-by-step explanation:
P=Total population
P=2000(1+.04)^3years
P=2249.728
P=2250
what are the ways to determine if a relation is a function
Answer: 1) Check if the inputs and outputs doesn't fail the vertical line test. 2) Check if every input has exactly on output. 3) Check if is a linear function.
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO FIRST GOOD ANSWER: A pizza shop has the following optional toppings: pepperoni, sausage, peppers, and onions. All pizzas come with cheese. How many different combinations of toppings are possible?
Please explain how you got it
Answer:
14
Step-by-step explanation:
Answer:
Im Sure there is 10 different combinations.
Step-by-step explanation:
Mr. Hoffman, a science teacher, drove 10 miles to school from home in 20 minutes. He drove the 2 miles home in 30 minutes. His average velocity was ____ m/s.
In the first one he drove about 0.5 miles per second and in the second one he drove about 0.07 miles per second so it gives you about 0.285 i believe
A skateboard ramp at the skate park is in the shape of a triangular prism. What is the lateral surface area of the ramp? (SA = Ph)
1,008 square meters
108 square inches
900 square meters
954 square meters
Answer:
I would need more information to solve the problem, such as the dimensions of the triangular prism ramp.
Is the line through points P(7, 6) and Q(9, 11) perpendicular to the line through points R(5, 9) and S(7, 4)? Explain.
Answer:
Step-by-step explanation:
[tex]slope~of~line~PQ=\frac{11-6}{9-7}=\frac{5}{2}\\slope~of~line~RS,~m2=\frac{4-9}{7-5}=-\frac{5}{2} \\m1 \times m2=\frac{5}{2} \times -\frac{5}{2} =-\frac{25}{4} \neq -1[/tex]
so lines are not perpendicular.
A cube has surface area of 96 sq cm. What is the length of each edge of the cube?
If the measure of an angle is 49 degrees, what is the measure of its complement?
a. 41 degrees
b. 131 degrees
c. 139 degrees
d. 180 degrees
(with explanation)
Answer: a. 41 degrees
Complementary angles add up to 90 degrees.
So, to find the complement of an angle, subtract the angle's measure from 90 degrees.
The complement of a 49 degree angle is 41 degrees (90 - 49 = 41).
Hope this helps!
For his phone service, Sam pays a monthly fee of $22, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $69.32.
What are the possible numbers of minutes he has used his phone in a month?
Usem for the number of minutes, and solve your inequality for m.
Your school is renting an indoor water park for a school outing. The water park costs $1500 for the day.
A. How many students need to go to the water park so that each person pays $6 each?
B. Reasoning The water park can hold up to 450 people. Does the park hold enough students so that each person pays only $3:50 each?
A. 250 students need to go to the water park for them to pay 6 dollars each.
B. Yes, the park can hold enough since there would be 428 students renting for 3.50 each.
Please mark me brainliest! <3
You switch the positions of two items on your menu. Chicken tenders sales drop from $800 to $600. Food cost for chicken tenders is 25%. Cheeseburger sales rise from $500 to $700. Food cost for cheeseburgers is 20%. Was this a good move?
a) Yes, gross margin increased
b) No, gross margin decreased
c) Didn't change gross margin
Answer:
yes gross margin increased
Step-by-step explanation:
Final answer:
a) Yes, gross margin increased
Switching the menu items resulted in an overall increase in gross margin by $10, as the $60 increase in gross margin from cheeseburger sales exceeded the $50 decrease in gross margin from chicken tenders. Therefore, this was a good move.
Explanation:
To determine whether switching the positions of two menu items was a good move, we should calculate the change in gross margin for both items. Gross margin is calculated as sales minus the cost of goods sold (COGS) and reflects the profitability prior to accounting for operating expenses.
For chicken tenders, the drop in sales from $800 to $600 represents a $200 decrease. With a food cost of 25%, the COGS for chicken tenders would be 25% of sales. Before the switch, the COGS was $200 (25% of $800), and after the switch, it became $150 (25% of $600). This means that the gross margin for chicken tenders decreased by $50 (from $600 to $550).
For cheeseburgers, the increase in sales from $500 to $700 is a $200 increase. The food cost being 20%, we had an initial COGS of $100 (20% of $500) and a new COGS of $140 (20% of $700). Consequently, the gross margin for cheeseburgers increased by $60 (from $400 to $460).
Comparing the two changes in gross margin, the increase for cheeseburgers exceeds the decrease for chicken tenders by $10 ($60 increase for cheeseburgers minus $50 decrease for chicken tenders). Therefore, the overall gross margin increased as a result of the switch.
The answer to the question is: a) Yes, gross margin increased.
How did people protest segregation during the Civil Rights Movement?
I need help
Answer:
The Civil Rights Act of 1964, which ended segregation in public places and banned employment discrimination on the basis of race, color, religion, sex or national origin, is considered one of the crowning legislative achievements of the civil rights movement
Step-by-step explanation:
You have saved $18,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment?(Round your answer to two decimal places).
Which equation could be used to solve problems involving the relationships between the angles?
Answer:
see below
Step-by-step explanation:
The two angles are complementary so the sum is 90 degrees
7a+12 + 12+a = 90
Combine like terms
8a +24 = 90
Either equation would work to describe the relationship
One employee pours 6 ounces of coffee in the large frappuccino.
Does this follow the instructions above? Why or why not?
Answer:
The employee doesn't follow the instructions.
Step-by-step explanation:
The instructions are shown in the figure attached.
For large large frappuccino the inequality is:
x ≥ 8
where x is ounces of coffee.
The employee pours 6 ounces of coffee, 6 is less than 8, then the inequality is not satisfied.
A parking garage has a tented area with a slanted roof.
A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet. The triangular prism has a triangular base with base 20 feet and height 20 feet. The prism has a height of 40 feet.
Dimensions of the triangular prism
Base – 20 feet by 20 feet
Height – 40 feet
Dimensions of the rectangular prism
Base – 15 feet by 40 feet
Height – 20 feet
What is the total amount of volume inside the parking garage?
ft3
Answer:
20,000 f
Step-by-step explanation:
did he work AND ES
The total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.
What is of volume of a triangular prism?Volume of triangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a triangular prism is base area (B) times height of it.
[tex]V=B\times h[/tex]
The volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet. The volume of this prism is,
[tex]V=20\times15\times40\\V=12000\rm\;ft^3[/tex]
The triangular prism has a triangular base, with base 20 feet and height 20 feet. The prism has a height of 40 feet. The volume of this prism is,
[tex]V=\dfrac{20\times20}{2}\times40\\V=8000\rm\;ft^3[/tex]
Total volume of the parking area is,
[tex]V=12000+8000\\V=20000\rm\; ft^3[/tex]
Thus, the total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.
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Which of the following expressions is equal to x2 +9?
Answer
Is (x+3) 2 becase X *2 + 9 is the similar to (x+3)2
The given expression x² + 9 is equivalent to (x+3i)(x-3i).
Hence option B is correct.
The given expression is,
x² + 9
It is equivalent to (x+3i)(x-3i).
When we expand this expression, we get,
x² - 3ix + 3ix - 9i²
Since i² is equal to -1,
Simplify the expression to x² + 9.
The answer option (A) (x+3i)(x-6i) is not equivalent to x² + 9 as it will result in a last term of -18i² instead of +9i².
Similarly, option (C) (x-3i)² is equal to x² - 6ix + 9i², which is also not equivalent to x² + 9.
Option (D) (x+3i)² will result in x² + 6ix - 9i², which is not equivalent to x² + 9 either.
Therefore, the correct answer to the given expression is,
Option (B) (x+3i)(x-3i).
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Damien purchased $43.11 worth of
coffee that sold for $23.95 per pound. How many pounds of coffee did Damien buy?
Answer:
1.8 pounds
Step-by-step explanation:
Take the total price and divide by the price per pound to determine the number of pounds
43.11/23.95 =1.8
Answer:
1
Step-by-step explanation:
He got about 1 pound :)
Five out of seven teens said they do homework every night. What is a reasonable prediction for the number of teens out of 980 who would do homework every night?
Answer:
700 teens
Step-by-step explanation:
If five out of 7 teens do homework every night
There are 980 teens
How many out of 980 teens would do homework every night?
Firstly divide 980 teens by 7
Which is 980/7=140
Next is,
Out of 7 teens, there are 5 who do homework every night
So, multiply 140 by 5
140×5=700 teens
This means, the reasonable prediction of teens who do homework every night out of 980 is 700 teens
The predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.
To predict the number of teens out of 980 who would do homework every night based on the given information that five out of seven teens do homework every night, we can follow these steps:
1. Calculate the proportion of teens who do homework every night:
- Proportion = 5 / 7
2. Determine the expected number of teens out of 980 who would do homework every night:
- Expected number = Proportion * 980
3. Substitute the proportion value to find the expected number:
- Expected number = (5 / 7) * 980
4. Calculate the expected number:
- Expected number = (5 * 980) / 7
5. Simplify the expression:
- Expected number = 700
6. Finally, the predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.