Step-by-step explanation:
solution
Coordinate (-3,-1)(2,2)
x¹=-3 x²=2, y¹=-1 y²=2
M=(y²-y¹)/(x²-x¹)
M=(2+1)/(2+3) => 3/5
Equation of line
M=(y-y¹)/(x-x¹)
3/5 = (y+1)/(x+3)
cross multiply
3(x+3)=5(y+1)
3x+9=5y+5
5y-3x=4
5y=4+3x
y=4/5 + 3x/5
(C)
Find the surface area of the composite figure. Round to the nearest square centimeter
Answer:
Surface area = 726 cm²
None of the options is correct.
Step-by-step explanation:
Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)
✔️Surface area of cone = πr(r + l)
Where,
Radius (r) = 5 cm
Slant height (l) = √(10² + 5²) (Pythagorean theorem)
Slant height (l) = 11.2 cm
Plug in the values
= π*5(5 + 11.2)
= 254.5 cm²
✔️Surface area of the cylinder = 2πr(h + r)
r = 5 cm
h = 15 cm
Plug in the values into the formula
S.A = 2*π*5(15 + 5)
S.A = 628.3 cm²
✔️area of base of cone = πr²
r = 5 cm
Area = π*5² = 78.5 cm²
✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)
= 882.8 - 157
= 726 cm² (nearest square meter)
None of the options is correct.
find the square root of the following number 8136.04
Answer:
90.2
Step-by-step explanation:
Assuming that you can use a calculator, you would need to type in the square root symbol and type in the value 8136.04.
The square root of 8136.04 is 90.2.
In the function, g(x) = -2x , the independent variable has a value of 6. Find the value of the dependent variable.
Answer:
-12
Step-by-step explanation:
x=6
g(6)=-2*6=-12. Answered by Gauthmath
Please help, I will give brainliest if you explain.
Answer:
A.
Step-by-step explanation:
Basically.. when you draw a line from the vertex of a right triangle's 90 degree angle to its hypotenuse, it'll make two triangles with the same angles. Then you can use ratios to discern the size of said rectangles. I hope that helps.
as part of a weight loss plan, Levi's average calories consumed per day, denoted by c, subject to a maximum of 15 calories, is measured to calculate the amount of weight he will lose. if he is losing weight consistently, what is the domain of the function
Answer:
The domain is;
0 < c ≤ 15
Step-by-step explanation:
We are told that Levi's average calories consumed per day is denoted by c.
Now, we are told it is subject to a maximum of 15 calories.
Thus; c ≤ 15
Now,if he is losing weight consistently, then c must be greater than 0.
Thus,the domain is;
0 < c ≤ 15
A dilation maps (8, 12) to (2, 3). What are the coordinates of the image of (9, 3) under
the same dilation?
Answer:
(9/4,3/4) or (2.25, 0.75)
Step-by-step explanation:
The dilation is 1/4. We can tell this by looking at (8,12) and (2,3). 8*1/4=2 and 12*1/4=3. So therefore we just need to times 9 and 3 by 1/4. 9*1/4=2.25 or 9/4 and 3*1/4=0.75 or 3/4. so the dilation (9/4, 3/4). I believe this is correct but if I am not please tell me.
me podrian ayudar con esto?-- cual es la factorizacion prima del 90 y su respectivo proceso
Answer:
[tex]2*3^{2} *5[/tex]
Step-by-step explanation:
90 = 45 = 15 = 5
2 3 3
2 3
2
Find AB, given that line AD is the perpendicular bisector of BC
Answer:
11
Step-by-step explanation:
because line AD divided the triangle ABC into two equal halves
HELP I WILL GIVE BRAINLIEST
Answer:
A.) 6.4 units
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of AB.
If we find the horizontal and vertical distance of A and B, we form a triangle, with leg lengths of 5 and 4.
Now, we just solve using the Pythagorean theorem.
5^2 = 25
4^2 = 16
25 + 16 = 41
sqrt 41 ≈ 6.4 units.
Hope this helps!
If there is something wrong, just let me know.
Can someone help me with this math homework please!
Answer:
C
Step-by-step explanation:
The dimensions of a garden are 300' by 200'. If a model garden with the
scale of 10' = 1" is to be made, find the dimensions of the model.
A.) 3" by 1"
B.) 30" by 20"
C.) 45" by 10"
D.) 60" by 20"
Answer:
B
Step-by-step explanation:
We know that 10' = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply
10' = 1" by 30 on both sides to get
300' = 30"
and multiply by 20 on both sides to get
200' = 20"
Therefore, we can say that 300' by 200' = 30" by 20"
A line segment has one endpoint of A (2,5) and a slope of (2/3). Find coordinates for B
Answer:
B could be (4,8), (6,11), (8,14), (10,17), (12,20), etc.
Step-by-step explanation:
quick mafhs
Options are
Y-X-values: coefficients , inputs, and outputs
The missing value :-2,4,and 6
Answer:
the answer is -2 place x value in equation it gonna be y = 2-4 = -2
Given m
II
n, find the value of x.
m
n
20
119°
Please help
x=119
hope it doesn't help you!!
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
20 unit²
Step-by-step explanation:
A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.
From the grid :-
[tex]\rm\implies Side_1 = 7 \ units [/tex]
[tex]\rm\implies Side_2 = 3 \ units [/tex]
[tex]\rm\implies \perp \ Distance =4 \ units [/tex]
Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,
[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]
Type the equation used and answer for credit:
1) You bought a car that was $25500 and the value depreciates by 4.5% each year.
The general Population equation is modeled by: V(x) =
***
a. How much would the car be worth after 5 years?
the Evaluated equation I used to get the following answer is
and
the answer after 5 years the car is worth
dollars.
b. How much would the car be worth after 8 years?
the Evaluated equation I used to get the following answer is
and
After eight years the car is worth
dollars.
A house has increased in value by 28% since it was purchased. If the current value is $288,000, what was the value when it
was purchased?
Answer:
$368,640
Step-by-step explanation:
288,000 * .28 = 80640
288,000 + 80640 = 368640
Which equation is equivalent to the given equation?
- 4(x – 5) + 8x = 9x – 3
Hi!
-4(x - 5) + 8x = 9x - 3
-4x + 20 + 8x = 9x - 3
-4x + 8x - 9x = -3 - 20
-5x = -23
Answer: B
Answer:
B
Step-by-step explanation:
-4x +20 +8x = 9x -3. That's equall to 4x+20=9x-3. subtract 9x both sides, -5x+20=-3. subtract 20 both sides, -5x=-23.
Plsss help... question from gradients. Will give brainliest
Answer:
uwuwhwhwnwjwjwiwieiwiwjwjjejeejjwje
Step-by-step explanation:
euwwuwjw
What is the answer to this ?
Answer:
Not enough informationone side should be given.
-------------------------
hope it helps...
have a great day!!
What are the solutions of x2+ 6x-6= 10?
X=-11 or X= 1
X=-11 or X=-1
X=-8 or X=-2
X=-8 or X= 2
Consider U = {x|x is a real number}.
A = {x|x ∈ U and x + 2 > 10}
B = {x|x ∈ U and 2x > 10}
Which pair of statements is true?
5 ∉ A; 5 ∈ B
6 ∈ A; 6 ∉ B
8 ∉ A; 8 ∈ B
9 ∈ A; 9 ∉ B
=======================================================
Explanation:
Let's check choice A
If we plugged x = 5 into the inequality for set A, then,
x+2 > 10
5+2 > 10
7 > 10
which is false. So 5 ∉ A is a true statement. It means "5 is not in set A".
Let's plug x = 5 into the inequality for set B
2x > 10
2*5 > 10
10 > 10
Which is false. So x = 5 is not in set B. The statement 5 ∈ B is false. It should be 5 ∉ B instead.
We can cross choice A off the list.
---------------------------
Now onto choice B
Let's plug x = 6 into the inequality for set A
x+2 > 10
6+2 > 10
8 > 10
This is false, so saying 6 ∈ A is false.
Cross choice B off the list.
---------------------------
Choice C
If we plugged x = 8 into the inequality for set A, then x+2 > 10 would turn into 10 > 10, but that's false. So saying 8 ∉ A is a true statement.
If we plugged x = 8 into the inequality for set B, then we'd go from 2x > 10 to 16 > 10. That being true leads to 8 ∈ B being true.
We conclude that choice C is the final answer since both 8 ∉ A and 8 ∈ B are true statements.
---------------------------
We could stop at choice C, as we already found the answer, but let's check choice D.
Plug x = 9 into the inequality for set A
x+2 > 10
9+2 > 10
11 > 10
So saying 9 ∈ A is true, since x = 9 makes x+2 > 10 true.
Now try x = 9 into set B
2x > 10
2*9 > 10
18 > 10
We see that x = 9 is also in set B. So it should be 9 ∈ B and not 9 ∉ B
In other words, the first part of D is correct, but the second part is not.
We can cross choice D off the list.
Answer:
C. 8 ∉ A; 8 ∈ B
Step-by-step explanation:
What is value of x if 20x-10*110=50
Answer:
57.5
Step-by-step explanation:
20x - (10 x 110) = 50
=> 20x - 1100 = 50
=> 20x = 1150
=> x = 1150/20
=> x = 115/2
=> x = 57.5
There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(not red)
Answer:
25%
Step-by-step explanation:
We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Complete Question
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Answer:
[tex]P(\=x >96 )=0.01884[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Sample mean [tex]\=x =90[/tex]
Standard Deviation [tex]\sigma=10[/tex]
Generally
[tex]\sigma_x=\frac{\sigma}{\sqrt{10}}[/tex]
[tex]\sigma_x=\frac{10}{\sqrt{12}}[/tex]
[tex]\sigma_x=2.887[/tex]
Generally the equation for P(\=x >96 ) is mathematically given by
[tex]P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})[/tex]
[tex]P(\=x >96 )=P*(Z>\frac{90-96}{2.887})[/tex]
[tex]P(\=x >96 )=1-P(Z<2.08)[/tex]
[tex]P(\=x >96 )=1-0.98116[/tex]
[tex]P(\=x >96 )=0.01884[/tex]
please help me answer this
Answer:
10000000
Step-by-step explanation:
gitcy is good for your spleen
Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the remaining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation
Answer:
The inequality is 0.6x < 12.5
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
0.6x < 12.5 inequality that represent the situation
Solve for x
x < 12.5/0.6
x < 20.8 days
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
4. (03.05)
The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? (1 point)
The domain is all real numbers o through 9.
The domain is all integers o through 9.
The domain is positive real numbers.
The domain is all positive integers.
Answer:
B. domain is all integers 0 through 9
Step-by-step explanation:
Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.
The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.
1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."
A group of 17 students participated in a quiz competition. Their scores are shown below:
Score 0–4 5–9 10–14 15–19 20–24
Number of students 4 5 2 3 3
Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Part A
Answer: HistogramExplanation:
A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.
A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.
A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.
============================================================
Part B
We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.
The bin 0-4 has a bar that is 4 units high which means we got 4 scores that are between 0 and 4The bin 5-9 has a bar that is 5 units high, so we have 5 scores between 5 and 9.The bin 10-14 has a bar that is 2 units high since we have 2 scores in this region.And so on. This all leads to the histogram shown below.
Answer:
Part A is a histogram.
Part B draw a histogram
Step-by-step explanation:
This is because a dot plot and a box plot are too specific for how the data was given. We don't know the exact number for each student.
Part B The x axis would be labeled by the groups, 0-4, 5-9, 10-14, 15-19, 20-24. The y axis would be labeled number of students. Then you could color in the area matching the correct number of students for each category.
Find the value or JM in the image below
