Answer:
A man walking away from a lamppost with a light source h=8 m above the ground. The man is m= 2 m tall. How long is the man’s shadow when he is d=15 m from the lamppost?
Step-by-step explanation:
2/x=6/(10+x) cross multiply.
6x=2(10+x)
6x=20+2x
6x-2x=20
4x=20
x=20/4
x=5 m. is the length of the man's shadow.
Help me plz plzz i’m confused
a
Step-by-step explanation:
you are trying to divide x by 7 to isolate x. so you divide by 8 on both sides.
David bought a box of peanuts. The box weighed 3/4 of a pound. He ate 1/5 of a pound of peanuts that night. How much did David have left over?
Answer:
3/4=75%
75%/5=15%
15% of a pound is 0.15 pound. 75% of a pound is 0.75 pound. If David ate 0.15 pound of the 0.75 pound then he has 0.60 pound left. 0.75-0.15=0.6
factorise x^3+3x^2y+3xy^2+y^3
(x + y)³
Step-by-step explanation:use (a + b)³ = a³ + 3a²b + 3ab² + b³
x³ + 3x²y + 3xy² + y³ =
= (x + y)³
(!!EXTRA POINTS!!)
The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?
Answer:
30 and 60 degrees
Step-by-step explanation:
30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.
Complementary angles are angles that add up to 90 degrees.
Angle one = x
Angle two = 2x
2x + x = 90 degrees
Combine like terms.
3x = 90 degrees.
Divide both sides by 3
x = 30
Angle one = x = 30 degrees
Angle two = 2x = 2(30) = 60 degrees.
Closeness of a measurement to the actual value of the dimension being measured. For example, a measurement of 1.99999 cm for an object that is 2 cm wide has a high level of accuracy? a.precision b.conversion factor c.quantify d.accuracy?
a. precision
b. conversion factor
c. quantify
d. accuracy
Answer:
d. accuracy
Step-by-step explanation:
In measurements, accuracy is a term that is used to describe the closeness of a measured value to the actual or true value. While precision describes how close different measured values are to each other.
Thus when a measured value is accurate, it implies that the value is very close or almost equal to the true value. The correct answer to the question is is option D.
What is the mean of his grades?
Suppose that you could replace the ordered pair
(1, 4) to make the relation R (shown left) into a
function. Which ordered pair would work?
(1,2)
(-1,4)
(2, 3)
(4, 15)
Answer: (4,15)
Step-by-step explanation
just did it
Answer:
(4,15) answer is D
Step-by-step explanation:
If f(x) = 3x — 2 and g(x) = х + 5, thеn f(g(x)) =
Answer:
D) 3x+13
Step-by-step explanation:
f(x+5)
-2+3(x+5)
-2+3x+15
3x+15-2
3x+13
Leonard earns $8.75 per hour working at a bowling alley. Last weekend, he worked for 5.4 hours. How much money did Leonard earn working at the bowling alley last weekend?
Answer:
$47.25
Step-by-step explanation:
Earnings = (rate of pay)(number of hours worked)
Here,
Earnings last weekend = ($8.75/hr)(5.4 hrs) = $47.25
what is a chord in a circle
Answer:
A chord is the line segment joining two points on a curve. The endpoints of a chord always lies on the circle.
It has a formula of ;
[tex]2r sin\frac{\theta}{2}[/tex]
Step-by-step explanation:
The world population is estimated to be 7.8 billion in 2020, and growing at an instantaneous rate of 1.05%. (a) Estimate the population in 2100 if the growth rate remains constant at 1.05%. (b) Estimate the population in 2100 using the logistic function, assuming a carrying capacity of 13 billion. Also, what will be the growth rate in 2100
Answer:
Population in 2100 is 17.99 billion.
Step-by-step explanation:
The population of the world in 2020 = 7.8 billion.
The growth rate = 1.05%
Now find the population after 2100. Use the below formula to find the population.
Population in 2100 = Population of 2020 (1 + growth rate)^n
Population in 2100 = 7.8 (1 + 0.0105)^80
Population in 2100 = 17.99 billions.
Now, find the growth rate in 2100.
dN/dt = [r N (K – N) ] / K
r = Malthusian parameter
K = carrying capacity.
Now divide both sides by K, now x = N/K then do the differential equation.
dx/dt = r x ( 1- x)
Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt
From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12
0.065 = (r × 7.8× 5.2) / 12
0.065 = r × 3.38
r = 1.92%
making $40 payments each Friday,
6. Emily borrowed $1,000 from her parents to put towards a down payment on a car. She has
already paid back $350. Her parents do not charge any interest and Emily is planning on
Write an equation that represents the number of weeks it will take Emily to repay her
b. Is the solution to the equation the actual number of weeks it will take Emily to repay her
Lesson 1.5.
parents? Explain your answer.
a.
parents if she pays $40 each Friday.
If M is the midpoint of segment XY, find the coordinates of point X if M is at
(-2,3) and Y is at (4,2).
Answer:
co ordinates of X is (-8,4)
Find the value of this expression if x =7
x² +6/x - 2
Answer: [tex]\frac{355}{7}[/tex]
Decimal Answer: 47.857143
Please Mark Me As Brainliest If I Helped. Have a Great Day :D
If P is between L and A, PL = x + 4, PA = 2x − 1, and
LA = 5x − 3, then x =____ and LA =____ .
Answer:
x=3 LA=12
Step-by-step explanation:
PL plus PA is equivalent to LA. So, (x+4)+(2x-1)=5x-3, which can be rewritten as 3x+3=5x-3. Now we can add 3 to both sides to get 3x+6=5x and subtract 3x from both sides to get 6=2x. Now we divide by 2 on both sides to get x, which is 3, and we can plug that into the equation for LA. So we get 5(3)-2=LA. LA equals 12.
Steps to solve (x+4)+(2x-1)=5x-3:
1: (x+4)+(2x-1)=5x-3
2: 3x+3=5x-3 Rewrite equation
3: 3x+6=5x Add 3 to both sides
4: 6=2x Subtract 3x from both sides
5: 3=x Divide by 2 on both sides
The value of x is 3 and the value of LA is 12.
PL = x + 4,
PA = 2x − 1,
LA = 5x − 3.
Since P is between L and A, then the equation to get x will be:
PL + PA = LA
(x + 4) + (2x - 1) = (5x - 3)
Open the bracket
x + 4 + 2x - 1 = 5x - 3
Collect like terms
3x + 3 = 5x - 3
5x - 3x = 3 + 3
2x = 6
x = 6/2
x = 3
LA = 5x - 3
LA = 5(3) - 3
LA = 15 - 3.
LA = 12
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Solve the equation - 12 = 4p.
P
How do you solve it ?
Answer:
Step-by-step explanation:
-12 = 4p
-12/4 = p
-3 = p
Answer:
-3
Step-by-step explanation:
-12 =4p
p =-12:4
p =-3
Write 4,000+600+7in standard form
Answer: 4,607 would be the correct answer. Hope your having a great day!!!
HELP I NEED IN ONLY TEN MUINETS Checking Your Understanding
Quick
Check
Drag each rate into the box labeled Unit Rate or Not Unit Rate.
60 miles per hour
Unit Rate
Not a Unit Rate
168 hours in 7 days
34 miles for each gallon
$15 for 2 DVDs
$8 for every hour
22 words per minute
Answer:
The first thing to do is to find out which answer choices are similar and then it will be easier to find an answer.
Step-by-step explanation:
Answer:
Unit rate are
22 words per minute
34 miles for each gallon
60 miles per hour
$8 for every hour
Not a unit rate
168 hours in 7 days
$15 for 2 DVDS
What are some combinations you can buy for lunch?
How much are you spending on your choice
Answer:
You can spend all of the money by getting 1 sandwich and 2 things of chips
Step-by-step explanation:
1 sandwich =4$
1 bag of chips =3$
4 + 3 =7
7+ 3= 10
The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviation of 2 minutes. Suppose a random sample of 50 customers is observed. Calculate the probability that the average waiting time waiting in line for this sample is (a) less than 10 minutes (b) between 5 and 10 minutes
Answer:
(a) less than 10 minutes
= 0.5
(b) between 5 and 10 minutes
= 0.5
Step-by-step explanation:
We solve the above question using z score formula. We given a random number of samples, z score formula :
z-score is z = (x-μ)/ Standard error where
x is the raw score
μ is the population mean
Standard error : σ/√n
σ is the population standard deviation
n = number of samples
(a) less than 10 minutes
x = 10 μ = 10, σ = 2 n = 50
z = 10 - 10/2/√50
z = 0 / 0.2828427125
z = 0
Using the z table to find the probability
P(z ≤ 0) = P(z < 0) = P(x = 10)
= 0.5
Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5
(b) between 5 and 10 minutes
i) For 5 minutes
x = 5 μ = 10, σ = 2 n = 50
z = 5 - 10/2/√50
z = -5 / 0.2828427125
= -17.67767
P-value from Z-Table:
P(x<5) = 0
Using the z table to find the probability
P(z ≤ 0) = P(z = -17.67767) = P(x = 5)
= 0
ii) For 10 minutes
x = 10 μ = 10, σ = 2 n = 50
z = 10 - 10/2/√50
z = 0 / 0.2828427125
z = 0
Using the z table to find the probability
P(z ≤ 0) = P(z < 0) = P(x = 10)
= 0.5
Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is
P(x = 10) - P(x = 5)
= 0.5 - 0
= 0.5
A 16 -inch laptop has a screen that is 7 inches tall. How wide is the screen?
Answer:
Approximately 14.4 inches
Step-by-step explanation:
A 16-inch laptop means that a diagonal across the screen is 16 inches.
Imagine that the laptop is a triangle, with 2 sides: the height and the width of screen, and a hypotenuse, the diagonal across the screen (see attached image).
Here, we can use the Pythagorean theorem to find the width.
The relationship is the following
[tex]diagonal^2 = height^2 + width^2[/tex]
We can rearrange this to find the width of the screen:
[tex]diagonal^2 = height^2 + width^2\\diagonal^2 -height^2 = width^2\\width^2 = diagonal^2 -height^2\\width = \sqrt{diagonal^2 - height^2}[/tex]
Let's put in our values for the diagonal and the height:
Diagonal = 16
Height = 7
[tex]width = \sqrt{16^2 - 7^2}\\ width = \sqrt{256 - 49} \\width = \sqrt{207}\\width = 14.3874946[/tex]
As we can see, the width of our laptop is around 14.4 inches.
Answer: approximately 14.4 inches
The width of the laptop screen is x = 14.3inches.
Given that,
A 16 inch laptop has a screen that is 7 inches tall.
We have to determine,
How wide is the screen.
According to the question,
Diagonal length of the laptop = 16 inches
Length of the laptop = 7 inches
Width of the laptop = x inches
By using Pythagoras theorem,
[tex](Diagonal)^2 = (length)^{2} +( width)^{2}\\\\(16)^2 = (7)^2 + x^{2} \\\\x^{2} = 256 - 49\\\\x^{2} = 207\\\\x = \sqrt{207}\\\\x = 14.38 \ inches[/tex]
Hence, The width of the laptop screen is x = 14.3inches.
To know about Measurement click the link given below.
https://brainly.com/question/17690582
Select all the sums that are positive. A.–5 + (–2) B.5 + (–2) C.–3 + 4 D.0 + (–3) E.–2 + 4
Answer:
B and c and e
Step-by-step explanation:
Sorry if late I need points
The sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
A.–5 + (–2)
= -5 + (-2)
= -5 - 2
= -7 (negative)
B. 5 + (–2)
= 5 - 2
= 3 (positive)
C. –3 + 4
= -3 + 4
= 1 (positive)
D. 0 + (–3)
= -3 (negative)
E. –2 + 4
= -2 + 4
= 2 (positive)
Thus, the sums 5 + (–2), –3 + 4, and –2 + 4 are positive option (B), (C), and (E) are correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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find the 100th term for
5, 4, 3, 2, ... ...
Answer:
1
Step-by-step explanation:
Solve the following inequality for x.
-26 + 13r + 2 > 2 – 13r
Hey there!
[tex]Answer:\boxed{r>1}[/tex]
[tex]-26+13r+2>2-13r[/tex]
Let's start by simplifying both sides of the inequality.
[tex]13r-24>-13r+2[/tex]
Now add 13r to both sides of the inequality.
[tex]13r-24+13r>-13r+2+13r\\26r-24>2[/tex]
Now add 24 to both sides of the inequality.
[tex]26r-24+24>2+24\\26r>26[/tex]
In our fourth/last step, we will divide both sides of the inequality by 26.
[tex]\frac{26r}{26}>\frac{26}{26}\\ r>1[/tex]
[tex]\boxed{r>1}\text{ is your final answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
12x−y−8=10 in slope incerpet form ( dont have to simply )
Answer:
y = 12x -18
Step-by-step explanation:
12x−y−8=10
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Solve for y
Add 8 to each side
12x−y−8+8=10+8
12x -y = 18
Subtract 12x from each side
-y = -12x +18
Divide by -1
y = 12x -18
Answer:
y=12x-18
Step-by-step explanation:
12x-y-8=10
12x-y=18
-y=-12x+18
y=12x-18
which equation fits the table brainly -3 -6 0 -4 3 -2 6 0 w
Answer:
Step-by-step explanation:
(-3, -6) (0, -4)
(-4 + 6)/(0 + 3)= 2/3
y + 4 = 2/3(x - 0)
y + 4 = 2/3x - 0
y = 2/3x - 4
answer is c
HELP ITS DUE IN A FEW MINUTES!!!!!! I’ll brainlist!!!
Answer:
8
Step-by-step explanation:
68/8.2=8
527,381
+ 364.098
please say what this equals
Answer:
The answer is 527745.098
Step-by-step explanation:
527,381 + 364.098 = 527745.098
Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation. the set of tree heights and the set of trees in a forest the set of car make and models and the set of people in a certain town the set of birthdays and the set of students in a class the set of people with Social Security cards and the set of Social Security numbers
Answer:
d
Step-by-step explanation:
Suppose that Wilma is considering purchasing a new car with a monthly loan payment of $395. Her current insurance provider quotes a fee of $105 per month, and the registration fee in her state is $165 per year. How much money would she need if she considers purchasing this car?
Answer:
135
Step-by-step explanation:
To answer this question you would write down 105+165 you'll get 260 then to know how much wilma will have to pay you would take the amount wilma pays monthly which is 395 and the answer you got from 105+165 which is 260 and add 395-260 so, 395-260=135
Answer: Wilma should also consider the expenses of fuel, maintenance, and repairs. These are variable expenses and can vary greatly from month to month. To make sure that she can afford a new car, she needs to include these variable expenses in her car budget calculations. If Wilma can’t afford these expenses, she may need to choose a different car with a lower monthly payment or one that requires fewer maintenance costs.
Step-by-step explanation:
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