Thus, the third angle of the triangle JKL , is found as the m∠KLM = 92°.
Explain about the triangle angle sum property:Triangles that are isosceles have two equal sides that are also two equal angles. Triangles that are equilateral share identical angles and side lengths. The angles and side lengths of scalene triangles vary.
Triangles have the characteristic that their three inner angles sum to 180 degrees. This Triangle Angle Sum Theorem states that the sum of a triangle's three interior angles is always 180 degrees.
Given data:
triangle JKL , m∠JKM=28° and m∠KML = 60°Using the triangle angle sum property:
m∠JKM + m∠KML + m∠KLM = 180°
28° + 60° + m∠KLM = 180 °
m∠KLM = 180° - 88°
m∠KLM = 92°
Thus, the third angle of the triangle JKL , is found as the m∠KLM = 92°.
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Complete question:
if in triangle JKL , m∠JKM=28° and m∠KML = 60° find the third angle m∠KLM.
1. What is the difference between an exponential growth and exponential decay? 2. What is an example equation for expoential growth and an example equation for exponential decay?
Answer: see below
Step-by-step explanation:
The standard form of an exponential equation is: y = a(b)ˣ where
a is the initial valueb is the rateGrowth:
Exponential growth is where the final value (y) is greater than the initial value (a).
An example would be the spreading of a rumor:
You tell 1 person (a = 1) who then tells 2 people each minute (b = 2). How many people will they have spread the rumor to after 5 minutes (x = 5)?
y = 1(2)⁵
= 32
Decay:
Exponential decay is where the final value (y) is less than the initial value (a).
An example would be the decrease of bacteria in a person:
A person has 100 bacteria (a = 1) who takes a pill that is supposed to cut in half the number of bacteria each hour (b = 1/2). How many bacteria will the person have after 2 hours (x = 2)?
\(y=100\bigg(\dfrac{1}{2}\bigg)^2\\\\\\.\quad =100\bigg(\dfrac{1}{4}\bigg)\\\\\\.\quad = 25\)
if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.
Answer:
4
Step-by-step explanation:
y = x + 1
yeah-ya.... right?
Answer:
4 is the answer i believe
Step-by-step explanation:
C skips 2 dots, Hope this helps:)
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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CAN SOMEONE HELPPPPPP
Answer:
∠1 = 100
∠2 = 110
Step-by-step explanation:
∠1 + 80 = 180(angles on a straight line add to 180)
∠1 = 180 - 80
∠1 = 100
∠2 = 110 (vertically opposite angles are equal)
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Simplify.
(2f+5)2
lllllllllllllllllllllllllll
Answer:
Step-by-step explanation:
I think 4f + 10
I screenshot the question.
Answer:
17 34
24 58
31 89
38 127
45 172
52 224
59 283
62 345
69 414
76 490
83 573
Step-by-step explanation:
Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)
Then at the final answer you add the results to total pushups you get 573.
There is a faster way to do this using a formula, but probably will go over your head.
Write an equation that expresses the following relationship.
u varies directly with the square of p and inversely with d
In your equation, use k as the constant of proportionality.
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
\(y\propto x\)
If y is inversely proportional to x, then
\(y\propto \dfrac{1}{x}\)
It is given that u varies directly with the square of p and inversely with d. So,
\(u\propto \dfrac{p^2}{d}\)
It can be written as:
\(u=k\dfrac{p^2}{d}\)
Where, k is the constant of proportionality.
Therefore, the required equation is \(u=\dfrac{kp^2}{d}\).
Find the slope -2,6 and 3,-9
Answer:
slope = y2-y1
______
x2-x1
= -9+2
_____
3+6
= 6
____
9 2/3
The mean amount of money spent on lunch per week for a sample of 75 students is $42. If the margin of error for the population mean with a 99% confidence
interval is 2.10, construct a 99% confidence interval for the mean amount of money spent on lunch per week for all students.
===================================================
Explanation:
The confidence interval is centered at the mean of 42. We add and subtract the margin of error (MoE) from this center to get the left and right endpoints of the confidence interval.
left endpoint = mean - MoE = 42 - 2.10 = 39.90right endpoint = mean + MoE = 42 + 2.10 = 44.10The 99% confidence interval is (39.90, 44.10)
This is the same as writing \(39.90 < \mu < 44.10\)
We are 99% confident the mean mu is somewhere between 39.90 and 44.10, excluding both endpoints.
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
Use the number line to find the equivalent decimal and mixed number for givenletter
The equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
We have to given that,
A number line is shown in image.
Since,
A number lines are the horizontal straight lines in which the integers are placed in equal intervals.
And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Now, By given number line,
Point C is two point left from point 8.
Hence, The point C is denoted as,
⇒ C = 8.2
⇒ C = 82/10
⇒ C = 8 2/10
Therefore, the equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
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If mZA = (4x - 2)° and mZB= (6x-20), what is the value of x?
To find the value of x, we can set the two angle measures equal to each other and solve for x.
Given:
mZA = (4x - 2)°
mZB = (6x - 20)°
Setting them equal to each other:
4x - 2 = 6x - 20
Now, we can solve for x:
4x - 6x = -20 + 2
-2x = -18
Dividing both sides by -2:
x = -18 / -2
x = 9
Therefore, the value of x is 9.
Answer:
The answer is 9.
Step-by-step explanation:
We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:
mZA + mZB + mZC = 180°
Substituting the given values, we get:
(4x - 2)° + (6x - 20)° + mZC = 180°
Simplifying the left side, we get:
10x - 22 + mZC = 180°
Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:
mZA = mZB
Substituting the given values and simplifying, we get
4x - 2 = 6x - 20
Solving for x, we get:
x = 9
Therefore, the value of x is 9.
Content
Calculator
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m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
3. Marilyn hit a golf ball on the ground with her driver. Use
the general function for a projectile to write a function
that shows the height in feet of her golf ball as a function
of time. The ball was hit with an initial vertical velocity of
130 feet per second.
h(t) = -16t2 + 130t
a) How long will Marilyn's ball stay in the air?
b) What was the maximum height of the ball?
It will take the ball 4.0625secs to stay in the air
The maximum height of the ball is 264.0625m
Given the function representing the height reached by the golf expressed as;
h(t) = -16t^2 + 130t
The velocity function is expressed as:
v(t) = -32t + 130
At maximum height, the velocity of the ball will be zero, i.e v(t) = 0
0 = -32t + 130
32t = 130
t = 130/32
t = 4.0625
Hence it will take the ball 4.0625secs to stay in the air
b) Substitute t = 4.0625 into the height function to have:
h(t) = -16t^2 + 130t
h(t) = -16(4.0625)^2 + 130(4.0625)
h(4.0625) = -264.0625 + 528.125
h(t) = 264.0625m
Hence the maximum height of the ball is 264.0625m
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What is the surface area of the cone?
Answer:
V=1/3*pi*radius(to the power of two)*height
Answer: 14 in squared
Two methods to measure one's heart rate are:
A. Palpitation and monitor
B. Monitor and EKG
C. Palpitation and pulse rate
What is the distance between the points (22 , 14) and (7 , 14) in the coordinate plane?
Step-by-step explanation:
Distance between the points = sqrt[(22-7)² + (14-14)²] = 15.
Answer:
it is 15 something sorrry if i am wrong
Step-by-step explanation:
If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer
Answer:
\(8 - 10 = -2\)
\(-20 - 10 = -30\)
\(-2 - (-19) = 17\)
\(-25 -35=-60\)
Step-by-step explanation:
(a)
\(8 - 10\)
Rewrite as addition:
\(8 - 10 = 8 + (-10)\)
\(8 - 10 = -2\)
(b):
\(-20 - 10\)
Rewrite as addition:
\(-20 - 10 = -20 + (-10)\)
\(-20 - 10 = -30\)
(c)
\(-2 - (-19)\)
Rewrite as addition:
\(-2 - (-19) = -2 +19\)
\(-2 - (-19) = 17\)
(d)
\(-25 -35\)
Rewrite as addition:
\(-25 -35=-25 +(-35)\)
\(-25 -35=-60\)
g(n)=-n + 5f(n)=n^2-1Find (g•f)(6)
If the slope is 3 what does it represent using this table
Answer:
The table represents a linear function.
The graph of linear function y = 3x is attached below.
Step-by-step explanation:
Given the table
Number of Hours 1 3 5
Number of Tents 3 9 15
Given that the slope is 3.
Finding the slope between (1, 3) and (3, 9)
Slope = (y₂-y₁) / (x₂-x₁)
= [9-3] / [3-1]
= 6 / 2
= 3
Finding the slope between (3, 9) and (5, 15)
Slope = (y₂-y₁) / (x₂-x₁)
= [15-9] / [5-3]
= 6 / 2
= 3
As the value of slope remains constant i.e. slope = m = 3.
Using the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (1, 3)
\(y - 3 = 3 (x-1)\)
\(y-3 = 3x-3\)
\(y = 3x-3+3\)
\(y = 3x\)
Comparing with the slope-intercept form of a linear function of line
y = mx+b where m is the slope and b is the y-intercept
slope = 3 and y-intercept b = 0
Therefore, the table represents a linear function.
The graph of linear function y = 3x is attached below.
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
0.7 X 10 ^-4 in standard notation
Will mark Brainiest
Answer:
0.00007
Step-by-step explanation:
Answer:
0.7001
Step-by-step explanation:
a 1 Mrs. Erskine spent $40.50 for a pair of shoes, $56.95 for jeans, and $25.75 for a shirt. Which of the following shows two equivalent expressions, using the associative property of addition, that can be used to find the amount Mrs. Erskine spent? A (40.50 + 56.95) + 25.75; 25.75 + (40.50 + 56.95) B 40.50 +(56.95 + 25.75); (40.50+ 56.95) + 25.75 C 40.50 + (56.95 + 25.75); (40.50. 56.95) + (40.50 .25.75) D (40.50 +56.95) + 25.75; (40.50 + 56.95 +25.75) • 1 o
Answer:
A
Step-by-step explanation:
Commutative Property(a + b) + c = c + (a + b)(40.50 + 56.95) + 25.75 ; 25.75 + (40.50 + 56.95) correctly represent the situation using the commutative property.
Pleeeeeeeeeseee help meee!!!
Answer:
y= 44
Step-by-step explanation:
you know 4y so just
×11 and you get 44
During the 2005 football season,team tackle beat team sack by 10 points. If their combinded scores totaled 36 find the individual team scores
Answer:
Step-by-step explanation:
t = tackle score
s = sack score
t = s + 10
t + s = 36
s + 10 + s = 36
2s = 26
s = 13 points
t = 13 + 10 = 23 points
Which of the following correctly indicates whether a triangle can have sides with lengths 7.2, 7.7, and 15, and also provides the correct explanation?
Answer: No; 7.2 + 7.7 is less than 15.
Step-by-step explanation:
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Find the value of x. Round to the nearest tenth.