Point M is on line segment LN. Given LN=4x, MN= x, and LM=3, determine the numerical length of LN.
Answer:
LN = 4 units
Step-by-step explanation:
Since M is on LN , then
LN = LM + MN , that is
4x = 3 + x ( subtract x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Then
LN = 3 + x = 3 + 1 = 4
The required length of the line LN = 4.
Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3, to determine the numerical length of LN.
The line is a curve showing the shortest distance between 2 points.
LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1
Length of LN
LN = 4x
= 4 * (1)
= 4
Thus the required length of the line LN = 4.
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?
Solve percent problems (if anyone has done this test can you please screen shot it or just type the answers) Thank you very much!
The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???
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Answer:
False
Step-by-step explanation:
The minimum value is -2.
Name the marked angle in 2 different ways.
Answer:
PQR and RQP
Step-by-step explanation:
We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.
Step-by-step explanation:
This question is very straightforward.
Angle names always has a format: angle aBc
, where the middle letter is always the angle you want to use or find the value of.
Therefore in this case, you can name the angle , as angle RQP or angle PQR.
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?
It will take ______ tiles to cover the entryway.
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Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.
what is the area of this partial circle with a radius of 14 inch
Step-by-step explanation:
Since this circle is partial we will divide the area of the whole circle by 2
the area of a circle is expressed by [tex]\pi r^2[/tex] so insert 14 for the radius.
[tex]14^2\pi[/tex]
[tex]196\pi[/tex]
divide the area by 2
[tex]98\pi=307.876[/tex]
Hope that helps :)
Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work
Answer:
$35.25
Step-by-step explanation:
Find the total number of inches needed.
The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.
8 + 8 + 14 + 14 = 44 inches
he also was an additional 3 inches
44 + 3 = 47
Now we can find the total price
47 inches × $0.75 = $35.25
Hope this helps!
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
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Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО
Answer:
x = 16
Step-by-step explanation:
First add all of your angles together to get:
9x + 36
Then set that equal to 180:
9x + 36 = 180
Now solve Algebraically:
Subtract 36 from both sides:
9x = 144
Then divide by 9:
x = 16
The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.
Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?
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Answer:
$70
Step-by-step explanation:
The amount Elijah has remaining is ...
$300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70
To the nearest dollar, Elijah has $70 left.
_____
Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).
Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no
Answer:
No
Step-by-step explanation:
[tex]y<-\frac{1}{3} x-2[/tex]
put in 9 for x
y<-\frac{1}{3} 9-2
y<-3 -2
y<-5
then put in -5 for y
-5<-5
Since they are the same number that makes the equation impossible
Hope that helps :)
I don’t get this question and need help. please hell
Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth
Answer:
mean: 10.4
median: 9.5
Step-by-step explanation:
The sum of three consecutive integers is -126. What are the integers?
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.
You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number
Answer:
No
Step-by-step explanation:
No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.
I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!
me ayudan por favor?
solo son 10 preguntas abc
Answer:
hi
Step-by-step explanation:
determine whether you can construct many one or no triangles with the given measures
Answer:
u cant create any triangles because you have said that there are three 45° angles
which is 45°, 45°, 45°
⇒ 135°
135≠180
every triangle is 180°
therefore no triangle
MARK ME BRAINLIEST
URGENT WILL GIVE YOU BRAINLIEST!!!
Answer:
#3
Step-by-step explanation:
Determine the missing factor in × 4.3 = 12.9
Answer: 3
Step-by-step explanation:
12.9/4.3 will give you the number it was multiplied by.
What is the height of the ball after 5 seconds in feet?
Answer:32
Step-by-step explanation:
i think the answer will be 32 feet
At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?
Answer:
Darlene's dog weighs 10 pounds.
Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.
Hope this helps.
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Select all numbers that have an absolute value of 4.
Answer: 4 and -4
Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.
Answer: 4 & -4
Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .
Step-by-step explanation:
Use the Quadratic Formula to solve the equation x^2-15=2x
Answer:
x= -3
y= 5
Explanation:
Move the 2x to the left by subtracting it by itself
you should get x^2 -15 - 2x =0
That's it in standard form
Which expressions are equivalent?
1/5k-2/3j and -2/3j+1/5k
1/5k-2/3j and -1/5k+2/3j
1/5k-2/3j and 1/5j-2/3k
1/5k-2/3j and 2/3j-1/5k
please help!!!!!
The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ???? is a density function, then ????ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.
Answer:
The average function [tex]f_{avg}[/tex] value = 4
Step-by-step explanation:
Given that:
[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]
The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.
Over an area E, the average value of a function f(x,y,z) is:
[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]
where;
[tex]V_E[/tex] = volume of region E
To find the volume use cylindrical coordinates;
[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]
Then;
E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]
[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]
However, from equation (1):
[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]
[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test