Answer:
A. (4, 7)
Step-by-step explanation:
y = 2x - 1
y = x + 3
y = x + 3
2x - 1 = x + 3
2x = x + 4
x = 4
y = 2x - 1
y = 2(4) - 1
y = 8 - 1
y = 7
i hope this helps !!
Find the surface area of the right square pyramid. Round your answer to the nearest hundredth.
ANSWER
C. 145.75 yd²
EXPLANATION
First we need to calculate the area of the four triangular faces.
The lateral surface area
[tex] = 4 \times \frac{1}{2} \times 5.3 \times 11.1[/tex]
[tex] = 117.66 {yd}^{2} [/tex]
The area of the base is
[tex] = 5.3 \times 5.3[/tex]
[tex] = 28.09[/tex]
To find the total surface area, we add the area of the square base to the area of the 4 triangular faces.
Therefore the total surface area is
[tex] = 117.66 + 8.09 = 145.75 {yd}^{2} [/tex]
Answer: Option C.
Step-by-step explanation:
To calculate the surface area of the right square pyramid, you need to use the following formula:
[tex]SA=\frac{1}{2}(4s)(l)+(s^2)[/tex]
Where "s" is the length of any side of the base and "l" is the slant height.
You can identify in the figure that:
[tex]s=5.3yd\\l=11.1yd[/tex]
Therefore, substituting these values into the formula, you get this result:
[tex]SA=\frac{1}{2}(4(5.3yd))(11.1yd)+((5.3yd)^2)\\\\SA=145.75yd^2[/tex]
Suppose you are simplifying 4 + 3(8 - 3·2)2.
Choose all the steps which will be part of your work.
7(8 - 6)2
4 + 3(2)2
4 + 3(8 - 3·4)
4 + 3(5·)2
4 + 3·4
4 + 3(8 - 6)2
4 + 12
4 + 62
Answer:
4 + 3(2)2
4 + 3·4
4 + 3(8 - 6)2
4 + 12
Step-by-step explanation:
I am assuming the *2 after the parentheses is a power? if so, these would be your correct choices
Answer:
The steps used are 2,5,6,7.
Step-by-step explanation:
Given : Expression [tex]4+3(8-3\cdot 2)^2[/tex]
To find : Simplify and choose all the steps which will be part of your work ?
Solution :
Step 1 - Write the expression,
[tex]4+3(8-3\cdot 2)^2[/tex]
Step 2 - Solve the multiplication in bracket,
[tex]=4+3(8-6)^2[/tex]
Step 3 - Solve the bracket,
[tex]=4+3(2)^2[/tex]
Step 4 - Solve the square term,
[tex]=4+3\cdot 4[/tex]
Step 5 - Solve the product,
[tex]=4+12[/tex]
Step 6 - Add the terms,
[tex]=16[/tex]
Therefore, The steps used are 2,5,6,7.
In an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.
The table shows the frequency of any number of 5s occurring in the trials.
Number of 5s 0 1 2 3 4
Frequency 6 9 33 9 3
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Given that in an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.
No of 5's Freq Prob
0 6 0.1
1 9 0.15
0 33 0.55
3 3 0.05
4 9 0.15
60 1
The above is the probability distribution of the discrete variable.
To ensure an excellent bond when brazing, the clearance gap between pipe and fitting must be _______ inches.
Step-by-step Answer:
Gap must be a maximum of 0.005 inches, and uniform all around. Round out with a sizing tool if necessary.
When brazing, the clearance gap between pipe and fitting should be between 0.002 and 0.006 inches.
This clearance gap is important to allow the brazing material to flow via capillary action and to create a strong, sealed joint. The exact clearance can vary depending on the materials and the application, but staying within this range is a good practice.
For brazing larger diameter pipes and fittings, a slightly larger gap may be acceptable, but generally it is best to maintain the smallest gap that will still allow for proper capillary action of the filler metal.
Please explain your answer as well. THX!!
Answer: Third option
[tex]P = 0.354[/tex]
Step-by-step explanation:
We have an elevator with 5 men and 7 women. We want to find the probability that 3 women and one man will come down from the elevator.
To calculate this probability we can use combinations.
The formula of combinations is:
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
Where you can choose between n people and choose r from them.
First we calculate all the possible results of the experiment.
That is, the amount of ways to select 4 people from a group of 12 people.
[tex]12C4 = \frac{12!}{4!(12-4)!} = 495[/tex]
There are 495 results.
Now we calculate the possible number of ways to obtain the desired result, that is 3 women and one man.
The possible combinations of selecting 3 women from a group of 7 is.
[tex]7C3 = \frac{7!}{3!(7-3)!} = 35[/tex].
The possible combinations of selecting 1 a man from a group of 5 is
[tex]5C1 = \frac{5!}{1!(5-1)!} = 5[/tex]
Then the number of ways in which 3 women and one man can be obtained is:
[tex]7C3 * 5C1 = 35 * 5 = 175[/tex]
Finally the probability is:
P = Number of ways to obtain the desired result ÷ possible number of results
[tex]P = \frac{7C3 * 5C1}{12C4}\\\\P = \frac{175}{495}[/tex]
[tex]P = 0.354[/tex]
A store marks up merchandise 40% to make a profit. If the item costs the store $12, what is the selling price?
Answer:
$16.80
Step-by-step explanation:
The item costs the store $12.00
12 x 40% or 12 x 0.4 = 4.8
Add 4.8 to 12
And you get the price the store sells the product for profit, $16.80
Match each injury with a long-term consequence.
Spinal cord injury
Headaches
B. Traumatic brain injury
Quadriplegia
C. Knee injury
Limited ability to walk and run
Answer:
I think
"Quadriplegia" would go with a "spinal cord injury".
Quadriplegia is a spinal cord injury that causes you to lose feelings in all four limbs.
A "knee injury" would go with "Limited ability to walk and run."
"Headaches" with "traumatic brain injury."
Hope this helps!
Answer:
Quadriplegia-Spinal cord injury
Headaches-Traumatic brain injury
Limited ability to walk and run-Knee injury
Step-by-step explanation:
Quadriplegia is the state in which a person can´t move any of its extremities, this is often cause by an accident to the spinal cord and it causes the nerves that connect the brain and the muscles in the bosy to stop functioning properly.
Headaches can be the consequence of a traumatic brain injury that didn´t healed well.
A knee injury often has as result the limited ability to walk and run.
There are 48 cookies at the holiday
party. 8 of the party guests are
going to share the cookies. How
many cookies will each guest
receive?
Answer:6
Step-by-step explanation: Each of the guest will have 6 cookies because 48/8
6 cookies for each guests u can do 48 divided by the number of guests to get 6
which linear equation approximates the best fit to the data?
A) y=-2x+65
B)y=-5x+100
C)y=-x+68
D) y=-0.5x+55
Answer:
I believe A
Hope This Helps! Have A Nice Day!!
Answer:
A.
Step-by-step explanation:
In my opinion the best one is A cause it just fits the best if you draw the line.
hope this halps :D
Help me please?????????????
Please give brainliest!
Answer: The answer to the first one is 99m. The answer to the second one is 62cm.
Step-by-step explanation: You would multiply 63 by 2 to get 126. You would subtract 126 from 324 to get 198. Then you would divide 198 by 2 which would equal 99 which is your answer.
You would divide 5828 by 94 to get 62 wich would be your answer.
Hope this helps!
Have a blessed day :)
The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.8 and 16 10 and 14 11 and 13 15 and 9
Answer:
10 and 14
Step-by-step explanation:
You need only check the answers to see which one satisfies the problem requirements. The differences between the second and first numbers are ...
8, 4, 2, -6
Only one pair has the second number 4 more than the first: 10 and 14.
_____
Since you are given variable definitions, perhaps you're expected to write and solve equations.
a + b = 24 . . . . . the sum of the two numbers is 24
-a +b = 4 . . . . . . the second number is 4 more than the first
Adding these two equations gives ...
(a +b) +(-a +b) = (24) +(4)
2b = 28 . . . . . simplify; next, divide by 2
b = 14 . . . . . . . identifies 10 and 14 as the correct answer
Answer:
10 14
Step-by-step explanation:
Evaluate the expression when m= 6 and n = 7.
4n+m
Answer:
34
Step-by-step explanation:
4(7)+6
Answer:
34
Step-by-step explanation:
Substitute the m and n : 4(7) + 6
Solve: 28 + 6 = 34
can someone help me please ? :(
Answer:
last one
Step-by-step explanation:
Answer:
The second graph.
Step-by-step explanation:
The graph is the only possible answer. In the table, both values are shown to be rising, the second graph is the only one with both increasing values.
In the first one, only D is rising
In the third, only C is increasing
In the last, d is decreasing while C is increasing.
Which only leaves the second option.
LOOK AT THE PICTURE I NEED THIS DONE ASAP PLEASE HELP ME!!!
I got 224. 7(4)^2 = 112 •2 =224
24,042 in expanded form
Answer:
20,000
+ 4,000
+ 0
+ 40
+ 2
Step-by-step explanation:
Brainiest please!
I think it's 4,000 I could be wrong
Match each exponential function to the description of its percent rate of change. 22% growth 12% decay 2% decay 20% growth 20% decay 22% decay 2% growth 12% growth. f(x) = 44(0.88)^x, f(x) = 124(1.22)^x, f(x) = 22(0.8)^x, f(x) = 42(1.12)^x
The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.
Then we have the following:
1) 22% grow
y = a( 1 + 22%/100 )^x = a(1.22)^x
So the solution is: 124(1.22)^x
2) 12% decay
y = a( 1 - 12%/100 )^x = a(0.88)^x
So the solution is: y = f(x) = 44(0.88)^x
3) 20% decay
y = a( 1 - 20%/100 )^x = a(0.8)^x
So the solution is: f(x) = 22(0.8)
4) 12% Groth
y = a( 1 + 12%/100 )^x = a(1.12)^x
So the solution is: f(x) = 42(1.12)^x
Final answer:
Each exponential function is matched to its percent rate of change by the base of the exponent; a base greater than 1 indicates growth, while a base less than 1 indicates decay.
Explanation:
The question involves matching each exponential function to its corresponding percent rate of change, which indicates whether there is exponential growth or decay. The base of the exponent in the function represents the rate of change: a base greater than 1 indicates growth, while a base less than 1 indicates decay. Here's how we match the given functions:
f(x) = 44[tex](0.88)^x[/tex] corresponds to 12% decay because 0.88 represents a decay rate of 12%.
f(x) = 124[tex](1.22)^x[/tex] corresponds to 22% growth because 1.22 represents a growth rate of 22%.
f(x) = 22[tex](0.8)^x[/tex] corresponds to 20% decay because 0.8 represents a decay rate of 20%.
f(x) = 42[tex](1.12)^x[/tex] corresponds to 12% growth because 1.12 represents a growth rate of 12%.
By recognizing the base of the exponential function, we can determine the percentage rate of change and appropriately classify each function as either exponential growth or decay.
At a pizzeria one day, 15% of the pizzas sold were topped with mushrooms.If 12 pizzas were topped with mushrooms, what was the toal number of pizzas sold that day?
15% = 12 out of 100%
100% = 80
Which expression can be used to find the area of triangle RTS?
answer is 13 but I can't understand the question
I think there is no correct answer in this question!
you can solve this by analytic geometry rules easily!!
James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
Answer: 17
Step-by-step explanation: 66 - 49 = 17
Answer:
He has 32 1 dollar bills and 17 2 dollar bills I THINK
32 + 17 = 49 and 32 + 17(2) = 66
(17 is wrong I can confirm)
In Aunt Peggy’s attics there are spiders and ants, the total of 160 legs. And, there is one more ant than spider! How many spiders and how many ants? (A spider has 8 legs and an ant only 6.)
Answer:
let X represent the number of spider.
8x+6*(x+1)=160
8x+6x+6=160
14x=154
x=11
x+1=11+1=12
So the number of ants is 12, the number of spiders is 11.
Step-by-step explanation:
A cabin cruiser travels 48 miles upstream (against the current) and 48 miles downstream (with the current). The speed of the current is 4 miles per hour. Find the total time traveled if the cabin cruiser travels at 12 miles per hour in still water.
The answer is:
The total time traveled is equal to 9 hours.
Why?To solve the problem, we need to write two equations using the given information about the travel upstream and downstream.
So, we need to write two equations:
Let be "x" the speed of the cabin cruiser (12 mph in still water)
Let be "y" the speed of the current (4 mph).
Then,
For the travel against the current (upstream), we have:
[tex](x-y)*t_{upstream}=48miles\\\\(x-y)*t_{upstream}=48miles\\\\(x-4mph)*t_{upstream}=48miles[/tex]
For the travel with the current (downstream), we have:
[tex](x+y)*t_{downstream}=48miles\\\\(x+y)*t_{downstream}=48miles\\\\(x+4mph)*t_{downstream}=48miles[/tex]
Also, we know that the speed of the cruise traveling in still water is equal to 12mph.
So,
Calculating the time traveled upstream, we have:
[tex](x-4mph)*t_{upstream}=48miles[/tex]
[tex](12mph-4mph)*t_{upstream}=48miles[/tex]
[tex](8mph)*t_{upstream}=48miles[/tex]
[tex]t_{upstream}=\frac{48miles}{8mph}=6hours[/tex]
Calculating the time traveled downstream, we have:
[tex](x+4mph)*t_{downstream}=48miles[/tex]
[tex](12mph+4mph)*t_{downstream}=48miles[/tex]
[tex](16mph)*t_{downstream}=48miles[/tex]
[tex]t_{downstream}=\frac{48miles}{16mph}=3hours[/tex]
Now that we know the time traveled upstream and downstream, we need to calculate the total time traveled using the following equation:
[tex]TotalTime=t_{upstream}+t_{downstream}\\\\TotalTime=6hours+3hours=9hours[/tex]
Hence, we have that the total time traveled is equal to 9 hours.
Have a nice day!
Express each ratio as a unit rate. Round to the nearest tenth or cent.
1. 68 miles per 2 gallons of gas
2. $10.50 for 2 lbs of rice
Answer:
1=0.84 per gallon
2=5.25 per lb
Step-by-step explanation:
Divide the cost or amount by how many of what there is. Ex= 10.5/2=5.25
What is the median of the data set?
Math Test Scores
5 | 0 3
6 | 5 4
7 | 5 7 8
8 | 2 4 5 6 7 7
9 | 0 1 2 3 4 6 7 9
5 | 0 = 50
49
85
86
87
The median of the data set is 6.0.
Data set
= 5, 0, 8, 6, 5, 6, 8, 9, 7, 0, 3, 5, 8, 8, 0, 6, 7, 7, 7, 9, 0, 1, 3, 5, 6, 8, 9, 9, 5, 0
Sort the data
= 0, 0, 0, 0, 1, 3, 3, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9
Find the middle value
= 6
The median of the data set is 6.0.
Complete question:
What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
The median of the data set is 86
How to find the median
To find the median of a data set, you need to arrange the data in ascending order (from smallest to largest) and then find the middle value.
In the stem and leaf plot, we have to express the numbers as follows
50 53 65 64 75 77 78 82 84 85 86 87 87 90 91 92 93 94 96 97 99
The data set is 21. The meidan is the number in the middle. This will be the 11 position in this case
The number in the 11th positon here is 86
What is the discriminante of 9x^2 + 2 = 10?
Answer:
C
Step-by-step explanation:
Use the formula for the discriminant.
[tex]b^2-4ac[/tex]
[tex](-10)^2-4(9)(2)[/tex]
[tex]100-72[/tex]
[tex]28[/tex]
what is 43.2÷16= in partial quotients
43.2\16= 2.7 hope this helps
Answer:
2.7
Step-by-step explanation:
well 43.2/16 is 2.7 hopefully this is helpful :3
a quadradic polynomial has a degree of 2 true or false
Answer: True
Step-by-step explanation:
We know that the quadratics polynomials have this form:
[tex]f(x)=ax^2+bx+c[/tex]
You need to remember that the degree of a polynomial is given by its highest exponent.
You can observe in the quadratic polynomial [tex]f(x)=ax^2+bx+c[/tex] that the highest exponent is "2", which is the exponent of the term [tex]ax^2[/tex]
Therefore, since the highest exponent is "2", you should conclude that the degree of the polynomial is 2.
Then, you can say that a quadradic polynomial has degree 2.
Evaluating expressions for the value of x 4.5x-12 x=2
X = 2
4.5(2) -12
9 -12
= -3
Answer is -3
Which set of measures would give a clear conclusion about the data. Help please.
what is the answer to -5+9>44
Simplify -5 + 9 to 4
4 > 44
Since 4 > 44 is false, there is no solution.
= No solution
lisa says that 43 is a 2 digit odd number that is composite. Is she correct.
No, even though 43 is a 2 digit odd number it’s not a composite.
[tex]\text{Hey there!}[/tex]
[tex]\text{Odd numbers are basically numbers that isn't evenly divided by 2}[/tex]
[tex]\text{Even numbers counts by 2 because you could find half of those numbers, you}[/tex] [tex]\text{can't find half of 43 which means that it is an odd number}[/tex]
[tex]\text{Yes, 43 is a(n) odd number but it is not a composite number}[/tex]
[tex]\boxed{\boxed{\text{Thus, Lisa is incorrect}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]