Answer:
3 • (r + 5)
Step-by-step explanation:
There are 25,400,000 nanometers in an inch. What is this number written in scientific notation?
Answer:
254 x 10^5
Step-by-step explanation:
Hope this helps :)
If anything is misunderstood plz comment and I will change to the answer which you give me thank you very much :)
Answer:
2.54 x 10^5
hope this answer helps u ._.
Bob went to a baseball game the game started at 9:45 a.m. and it was 3 hours and 34 minutes long when did the game end
Answer:
1:19PM
Step-by-step explanation:
To solve this, we can first add up the minutes.
45 + 34 = 79\(\frac{79}{60}\) \(=1\frac{19}{60}\)Why do we convert it into a fraction?We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.
Now, we can add up the hours.
9 + 3 = 1212AM + 1 hour = 1PM1PM + 19 = 1:19 PMTherefore, the game ended at 1:19 PM
The activity fee for an arts camp is $250. If the activity fee increases by 20%, what will be the new activity
fee?
050
If activity fee for an arts camp is $250. If the activity fee increases by 20% then $300 will be the new activity fee.
What is Percentage?Percentage is a relative value indicating hundredth parts of any quantity.
Given activity fee for an arts camp is $250.
The activity fee increases by 20%.
We need to convert percent to decimal.
20%=20/100=0.2
We need to find what is 20% of $250.
So 0.2*250=50
So 50 is 20% of 250.
As activity fee increases by 20% the new fee will be
$250+$50=$300.
Therefore $300 will be the new activity fee.
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In the figure, m1-m22-22 and m23-m24-123. From this, you can conclude that mZTSK-
45.
33.
35.
The measure of angle TSK is given as follows:
m < TSK = 35º.
How to obtain the measure of angle TSK?On a triangle, the sum of the measures of the internal angles is of 180º.
For triangle TSK, the internal angle measures are given as follows:
m < 1 = 22.m < 3 = 123º.m < TSK.Then the measure of angle TSK is obtained as follows:
m < TSK + 22 + 123 = 180
m < TSK = 180 - 145
m < TSK = 35º.
Meaning that the last option is correct.
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Which of the following data sets represents a linear function?
A. (2, 4), (3, 9), (4, 16), (5, 25)
B. (-2, -1), (-3, 0), (-4, 1), (-5, 0)
C. (2, 12), (3, 6), (4, 0), (5, -6)
D. (2, 1), (3, 0), (4, 1), (5, 4)
I will give brainliest if you are correct
Answer:
C
Step-by-step explanation:
to be a linear function the change in X and the change in Y has to be the same hence slope
A. x changes by+ 1 see 2,3,4,5, and y changes by +5, +7, +9 so A is not a linear function
B. X changes by -1 in all, y changes +1 for first 3 then -1 last, so B is not a linear function
C. X changes by +1 for all and y changes by -6 for all so is it is a linear function
D x changes by +1 for all and y changes by -1, +1, +3 so no linear fn.
Pedro look out a 4-year loan for $32,500 to help pay his college tuition. He has to pay 4% simple interest on the loan. How much interest will Pedro have to pay?
The interest Pedro will have to pay is $5200
Calculating how much interest will Pedro have to pay?From the question, we have the following parameters that can be used in our computation:
Principal = $32.500
Rate = 4% simple interest
Time = 4 years
The formula of simple iinterest is
I = Principal * Rate * Time
substitute the known values in the above equation, so, we have the following representation
I = 32500 * 4% * 4
Evaluate
I = 5200
Hence, Pedro have to pay $5200 as interest
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Suppose you have entered 97-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 8 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 5 hours. What is the distance of the run? What is the distance of the bicycle race?
The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
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.
Distance = average velocity × time
Let the time and distance of the run, respectively, be t₁ and.d₁
Let those of the bicycle race be t₂ and d₂
From the question,
t₁ + t₂ = 5
d₁ = 8t₁
d₂ = 27t₂
Total distance = 97
8t₁ + 27t₂ = 97
8 ( 5 - t₂ ) + 27t₂ = 97
40 - 8t₂ + 27t₂ = 97
40 + 19 t₂ = 97
19t₂ = 57
t₂ = 3 hours
t₁ + t ₂ = 5
t₁ = 5 - t₂
t₁ = 5 - 3 = 2 hours
Now the distances are calculated as:-
d₁ = 8t₁ = 8 x 2 = 16 miles
d₂ = 27t₂ = 27 x 3 = 81 miles
Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
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A rectangular security area is enclosed on ene side by a wall, and
the other sides are fenced. The length of the wall is twice the
width of the area. The total cost of building the wall and fence is
$13.200. If the wall costs $50.00/m and the fence costs $5.00/m
find the dimensions of the area
The dimensions of the area is 110 x 220 meters.
Defining the dimensions:A mathematical space's dimension is defined informally as the smallest number of coordinates required to specify every point within it. Thus, a line seems to have a dimension of one since only one coordinate is required to identify a point on it - for example, that point at 5 on the number line.
According to the given data:Given:
The entire cost of constructing the wall as well as fence is $13.200.
the wall costs $50.00/m.
the fence costs $5.00/m
let x=width
2x=length and wall
length of fencing=x+x+2x=4x
Now,
5*4x+50*2x=13200
20x+100x=13200
120x=13200
x=110
2x=220
dimensions of area:110 by 220 meters
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Simplify open parentheses x to the two thirds power close parentheses to the four fifths power
Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
Find the area of the figure.
(I've already divided the figure)
Answer:
54 yd²
Step-by-step explanation:
A = 10 yd × 3 yd + 6 yd × 4 yd
A = 30 yd² + 24 yd²
A = 54 yd²
The radius of the circle below intersects the unit circle at 5.5. What is the approximate value of 8?
(–1,0) π
Y
(0, 1)
Z
2
0
r=1
37
2
(0, -1)
[Not drawn to scale]
0
(1,0)
Step-by-step explanation:
To find the approximate value of θ, we can use the concept of trigonometric ratios in a right triangle.
In the given diagram, the radius intersects the unit circle at the point (0, 1). This means that the angle formed between the positive x-axis and the radius is θ.
We can see that the adjacent side of the right triangle formed is 1, and the hypotenuse is the radius of the circle, which is given as 5.5.
Using the cosine function, we have:
cos(θ) = adjacent / hypotenuse
cos(θ) = 1 / 5.5
To find θ, we can take the inverse cosine (arccos) of both sides:
θ = arccos(1 / 5.5)
Using a calculator to evaluate the arccos(1 / 5.5), we find:
θ ≈ 1.447 radians (rounded to three decimal places)
Therefore, the approximate value of θ is approximately 1.447 radians.
please please fill in the blank ... and write division sentence i will mark you brainliest
Select all the expressions equivalent to (0.5p+7)+(0.3p-6)
Answer:0.8p+1 and 1+0.8p
Step-by-step explanation:
0.5p+0.3p=0.8p
7-6=+1
0.8p+1
and
Swap both numbers
(0.5p+7)+(0.3p-6)=1+0.8p
5. Which expression is equivalent to -12w - 16
a) -4(3w+4)
b) -4(3w-4)
c) 4(-3w+4)
d) 4(3w-4)
Answer:
a) -4(3x + 4)
Step-by-step explanation:
Factor -12w - 16.
-4(3x + 4)
Find the area of the rectangle on this centimetre grid.
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
What is the substitution for the equation
Answer:
\(y=3x\) (Equation 1)
\(y=x-2\) (Equation 2)
We can substitute Equation 1 into Equation 2 like so:
\(y=x-2\)
\(3x=x-2\)
Subtract x from both sides:
\(2x=-2\)
Divide both sides by 2:
\(x=-1\).
Substitute \(x=-1\) into Equation 1 to find y:
\(y=3x\)
\(y=3(-1)\)
\(y=-3\)
Which of the following options 70
Solve the puzzle and add the colors
Answer:
43
Step-by-step explanation:
Green: 9 - 2(-3) = 9 + 6 = 15
Red: -2(-3) + 4 = 6 + 4 = 10
Dark blue: 7x + 5 = 19
7x = 19 - 5 = 14
x = 14/7 = 2
Light blue: 6x + 3 = 21
6x = 21 - 3 = 18
x = 18/6 = 3
Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43
Antonio buys a 10-pound bag of potatoes for $3.98. To the nearest cent, how much is 1 pound of potatoes?
A
$3.88
B.
$1.38
C
$0.40
D
$0.04
Answer:
C $0.40
Step-by-step explanation:
to find how much one pound of potatoes is, you have to divide the the cost of the bad by the number of pounds ($3.98 divided by 10 pounds)
$3.98 : 10 = $0.398 = $0.40
Write the percent as a decimal.
9%
HELP PLS
Answer:
9%=9/100=0.09 is in decimal
Answer:
0.09 = 9%
Step-by-step explanation:
9%= \(\frac{9}{100}\)
move the decimal twice left.
0.09
Cooper just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
21 weeks, how many total miles would Cooper have run, to the nearest whole
number?
Cooper ran 286 miles in 21 weeks.
2x + 45
(Will be marked brainlist)
Answer:
x = 45°
Step-by-step explanation:
We know that (2x + 45)° and x° are adjacent angles, so they add up to 180°.
(2x + 45) + x = 180
3x + 45 = 180
3x = 180 - 45
3x = 135
x = \(\frac{135}{3}\)
x = 45°
The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
uppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5 and a standard deviation of 0.37. Using the empirical rule, what percentage of the students have grade point averages that are no more than 3.24
Answer:
\(P(x \le 3.24) = 0.97725\)
Step-by-step explanation:
Given
\(\bar x = 2.5\)
\(\sigma = 0.37\)
Required
Percentage that is not more than 3.24
The above implies that:
\(x = 3.24\)
Calculate z score
\(z = \frac{x - \bar x}{\sigma}\)
\(z = \frac{3.24 - 2.5}{0.37}\)
\(z = \frac{0.74}{0.37}\)
\(z = 2\)
So, the probability is represented s:
\(P(x \le 3.24) = P(z \le 2)\)
From z probability
\(P(z \le 2) = 0.97725\)
Hence:
\(P(x \le 3.24) = 0.97725\)
The unit circle below shows 100∘ and -100∘. Find the values below, rounded to three decimal places if necessary.
Answer:
sin(100°) = 0.985
sin(-100°) = -0.985
Step-by-step explanation:
In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).
Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:
\(\boxed{\sin(100^{\circ}) = 0.985}\)
Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:
\(\boxed{\sin(-100^{\circ}) = -0.985}\)
In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
What is the value of sine of the angles?The value of the sine of the angles is calculated by applying the following formula as follows;
The value of sin (100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.
sin (100) = 0.985
The value of sin (-100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.
sin (-100) = -0.985
Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
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There are two question please help.
7- 7x + 8 (x + 1/4 *fraction*) = 3(6x -9) - 8
8- -4x - 2(8x + 1)= -(-2x -10)
There is NO choices...Please help!!!
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
What is the solution to 3+x=x+3
Answer:
all real numbers
Step-by-step explanation:
if you subtract x from both sides, you get x=x. This is true for basically any number
what is the answer?????????????????
Surface Area of cuboid = 2 (lb + bh + hl)
According to the question :
length = x, width = x-5, height = 0.5x
250 = 2 ( x × (x-5) + (x-5) × 0.5x + 0.5x × x )
250 = 2 ( x² - 5x + 0.5x² - 2.5x + 0.5x²)
250 = 2 ( x² - 5x + x² - 2.5x )
250 = 2 ( 2x² - 7.5x )
250 = 4x² - 15 x
4x² - 15x -250 = 0
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.