Answer:
6 mph
Step-by-step explanation:
The average rate of change of the speed of the train will be 6 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that a train decreased its speed by 72 miles per hour in 12 minutes.
As the train is reducing its speed by 72 miles per hour in 12 minutes the average rate of change of the speed will be calculated by dividing the change by the time.
Rate of change = 72 / 12
Rate of change = 6 miles per hour
Therefore, the average rate of change in the speed of the train will be 6 miles per hour.
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plz help. solve for x. i’ll give brainly
Answer:
x = 17.331....
Step-by-step explanation:
Basically use Tan on the calculator to find x. Look up "soh cah toa" if you still dont understand what I am doing.
Tan(37) = opposite / adjacent = x / 23
x = Tan(37) (23) multiply by 23 on both sides to get this
x = 0.753.... (23) now multiply the tan value on the calculator
x = 17.331....
WHAT ARE CONGRUENCE LINES
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.
please someone explain to me how did we multiply the denominator in this
ok so what you wanna do is use multiplication
In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =
•
•
mZN =
(x + 3)°
Answer:
GivenTriangle ABC is right angled at A.
[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]
[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]
To find:
The degree measure of each angle in the triangle.
Solution:According to the given information,
[tex]m\angleA=90^\circm∠A=90[/tex]
[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]
[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]
Now,
[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]
(Angle sum property)
[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘
[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]
9x+126=1809x+126=180
9x=180-1269x=180−126
9x=549x=54
Divide both sides by 9.
[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]
x=6x=6
Now,
[tex]m\angle A=90^\circm∠A=90
∘[/tex]
[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]
∘
[tex]m\angle B=37^\circm∠B=37[/tex]
∘
[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]
∘
[tex]m\angle C=53^\circum \: ∠C=53[/tex]
Therefore,
The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.
Answer:
26°, 108°, 46°Step-by-step explanation:
Assumed the given is:
ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.We need to find the angle measures in degrees.
We know the sum of interior angles is 180:
x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23Find the angle measures:
m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account
Answer:
.03 or 3%.
Step-by-step explanation:
Important:
I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
Given:
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
Therefore it .03 or 3%
please help fast ^^
Using the discriminant, determine the number of real solutions,
-2x^2+x-28= 0
Ono real solutions
O one real solution
O two real solutions
The number of real solutions is 0, the correct answer is A.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity b^2 - 4ac is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
We are given that;
The equation -2x^2+x-28= 0
Now,
The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:
If the discriminant is positive, there are two distinct real solutions.
If the discriminant is zero, there is one repeated real solution.
If the discriminant is negative, there are no real solutions.
In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:
b^2 - 4ac
= 1^2 - 4(-2)(-28)
= 1 - 224
= -223
Since, the discriminant is negative, there are no real solutions for this equation.
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f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)
Answer:
[tex]f^{-1}[/tex] (- 14) = 9
Step-by-step explanation:
f(9) = - 14 maps x = 9 to y = - 14
The inverse maps y = - 14 to x = 9 , that is
[tex]f^{-1}[/tex] (- 14) = 9
May I please receive help?
Answer:
m<1=47 and m<2=29
Step-by-step explanation:
find the sum of the even integers from 20 to 50.
with solutions please help
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
What is the equation of the line shown in this graph
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1
Can someone tell me the answer to this please???
Answer:
36
Step-by-step explanation:
Answer:
It's 36 ya know
Step-by-step explanation:
60 and 60 so 36 and 36
:)
which expression shows 3 2/5 and -7 1/5 of the sum of integer and fraction parts
Answer:
-4 3/5
Step-by-step explanation:
3 2/5 + -7 1/5 = (3 - 7) + (2/5 + 1/5) = -4 3/5
Evaluate the expression when x=-4. X^2+5x+7
Answer:
-29
= -16 + 5(-4) + 7
=16 - 20 + 7
=-29
Can somebody solve this for me?
Answer:
Area of rectangle = L x W
Step-by-step explanation:
A = L x W
L = 18
W = 10 + 5
so,
A = 18 x (10+5)
A = 18 x 15
A = 270
May I please receive help?
Please?
Just find m2
Answer:
I'll assume the question says "m<1 is 12 deg. more than m<2."
Step-by-step explanation:
m<WXZ is 86
m<1 + m<2 = 86
m<1 = m<2 + 12
(m<2 + 12) + m<2 = 86
2m<2 + 12 = 86
2m<2 = 74
m<2 = 37
m<1 = 49
m<1 + m<2 = 86 [Checks]
Help me please!Please look at the pic then tell me if im wrong on something.Thank you! :)
Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.
could you give me brainliest pls?
pls answer quick!!! i'll give brainliest if right!
Answer:
Step-by-step explanation:
$0.11
per ounce
1.32/12=0.11!!
Answer: 1.21
Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so
0.11 x 11=1.21 ounces Good luck!
HELP ASAP PLS 10 POINTS
Answer:
try a or b hope this helps
Answer:
top right
Step-by-step explanation:
SHOW WORK FOR CREDIT.
4. −10(x − 3)
A) −15x + 30
B) −10x + 30
C) −15x + 35
D) −15x + 37
Answer:
B) -10x + 30
Step-by-step explanation:
You have to multiply -10*x and -10*-3. -10*x equals -10x and -10*-3 is +30.
Answer:
[tex]\sf -10x+30[/tex]
Step-by-step explanation:
[tex]\sf -10(x - 3)\\-10x-\left(-10\right)\times \:3\\-10x+30[/tex]
If Sarah sold 20 bags of dog treats for $3.25 each, how much money did she earn? You must show your work to earn full credit.
Answer:
$65
Step-by-step explanation:
20 bags of dog treats multiplied by 3.25 = $65.00
Sarah made 65 dollars.
Answer:
Sarah earned $65.
Step-by-step explanation:
Create an equation.
20 representing the bags she has sold, 3.25 representing the value of each bag. If Sarah sold 20 bags of dog treats, with each of them being worth 3.25, then 20(3.25) = 65, meaning Sarah earned $65.
Use the GCF and the Distributive Property to find the sum.
42+66
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
42+66=??
Answer:
40 plus (2)42 plus 6x11
Step-by-step explanation:
Multiply
(5,6) and (6,8) equation of line
Solve the equation. Find x.
20x + 5 - 0 = 5x + 32.5*2
Use the graph below to find the x- and y - intercepts .
x-intercept : - 6; y - in ; intercept : 9
x-intercept: 1.5 ; y-intercept: 9
x-intercept : 9; y-intercept : - 6
x-intercept: -6; y-intercept: 3
Please help me! It’s for geometry
The answer to this is 2 67.5
Which of the following represents a function?
Answer:
B) Graph of an Absolute Value Function
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.
The given table in Option A) is not a function because there are two corresponding y-values for x = 3.
Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.
Option D is also not a function because the input value of 3 has two output values: -5 and 0.
Option B represents a function because each input value has exactly one corresponding output value. A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point. This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.
Answer:
The graph
Step-by-step explanation:
I got it right on plato
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
10 pls pls pls help meeee!
Answer:
SAS
I THINK CORRECT ME IF IM WRONG
Write the number 1, 256 in expanded form.
0 10,000 + 200 + 50 + 6
0 1,000 + 200 + 50 + 6
0 100 + 200 + 50 + 6
O 100 + 20 + 5 + 6
Answer:
1,000 + 200 + 50 + 6
Please help :(((((((((
Answer:
Yes it is a linear function
Step-by-step explanation: