Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
Trigonometric identities assignment 4
Simplify 5 sin ø sec ø
A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø
Answer:
Answer: choice D.
Step-by-step explanation:
Trigonometric Functions
We need to recall some properties and definitions of the trigonometric functions.
[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]
[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]
We need to simplify the following expression:
[tex]5\sin\theta\sec\theta[/tex]
Substituting the identity for the secant:
[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]
Operating:
[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]
Substituting the definition of the tangent:
[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]
Correct choice D.
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
what is the square root of 5 divided by 5 square root of 3?
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are
tangent.
A) 215°
C) 252°
B) 220°
D) 205°
In ΔJKL, j = 9.6 inches, k = 6.4 inches and l=8.4 inches. Find the measure of ∠K to the nearest degree.
Answer:
41
Step-by-step explanation:
delta math
I need help please, this is due today.
Answer:
-1
Step-by-step explanation:
Okay, i might be wrong..? I tried and this is what I got.
I need help, my teacher didnt teach up this
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
Solve y3 = 64.
A.
y
=
6
4
3
y=
3
64
B.
y = 8
C.
y = 16
D.
y = 4
Pls help and show workings
Options
A. 14
B. 36
C. 54
D. 90
Answer:
(C). 54°
Step-by-step explanation:
m∠3 + m∠4 = 90°
m∠1 = m∠4 = 2x + 8
(4x - 2)° + (2x + 8)° = 90°
4x - 2 + 2x + 8 = 90
6x + 6 = 90
6x = 84
x = 14
m∠6 = m∠3 = 4(14) - 2 = 54°
The sum of 2 numbers is 56 and the difference is 16 what are the numbers
Answer:
36 and 20
Step-by-step explanation:
let x = one number
let y = second number
set up system of equations:
x + y = 56
x - y = 16
add the two equations to get: 2x = 72
therefore, x = 36 and y = 20
(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?
Answer:6 units
Step-by-step explanation:
Find the measure of each angle.
The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
Answer: Two of the angles are 144° The other two angles are 36°
Step-by-step explanation: The sum of the angles of a parallelogram is 360°
There are two pairs of equal angles.
Using that information, we can create an equation
2x + 2(0.25x) = 360
2x + .5x = 360
2.5x = 360 . Divide both sides by 2.5 to find the value of x:
x = 144° Substitute 144 for x in the expression for the smaller angles
.25(144) = 36°
The measure of the angles in the parallelogram are 144 and 36 degrees.
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.
Angles in a parallelograma + b + c + d = 360
Opposite angles are equal, so
2a + 2(0.25a) = 360
2a + 0.5 = 360
2.5a = 360
a = 360/ 2.5
a = 144
the other angle = 180 - 144 = 36 degrees
To learn more about parallelograms, please check: https://brainly.com/question/17309595
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
Let f(x) = 3x - 5 and g(x) = x +10 Find f(g(x))
Answer:
f(g(x)) = 3x + 25
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationFunction CompositionStep-by-step explanation:
Step 1: Define
f(x) = 3x - 5
g(x) = x + 10
Step 2: Find f(g(x))
Substitute: f(g(x)) = 3(x + 10) - 5Distribute 3: f(g(x)) = 3x + 30 - 5Subtract: f(g(x)) = 3x + 25Mr. McShane wants to cut a board that is 3/4 feet long into 4 pieces of equal length. How long is each piece?
Did I get this correct
Answer:
Yep
Step-by-step explanation:
This graph shows the solution to which inequality?
5
(3,2)
5
(-3,-6)
O A. yx-2
OB. ysx-2
O c. y< x-2
OD. y -2
Answer:
letss seeee
Step-by-step explanation:
c.
The graph shows the solution to y ≥ 2 and y < x inequality.
we have:
y ≤ 2
y ≥ 2
x > 2
y > 2
The graph is limited by a line; y = 2 (red line).
The part corresponds to the part in which y > 2.
The line is continuous, so 2 is also included in the interval
y ≥ 2
Then to find if it is "less than" (<) or "less than or equal to" (≤):
Since the line that limits this interval. The line is y = x, it is a dotted line, the extreme is not included.
In summary:
y < x
Answer is B. y ≥ 2 and y < x
Learn more about inequality ;
brainly.com/question/14164153
#SPJ7
Find the slope of the line that goes through each set of points.
2. (2. 10) and (1,5)
3. (0.2) and (-3, 2)
4. (-4.0) and (0, -3)
5. (1.3) and (-2, 6)
PLEASE HELP!!!
please help ill give you brainliliest
Answer:
69
Step-by-step explanation:
its just an estimate
Answer:
72 degrees
Step-by-step explanation:
There are 180 degrees in a triangle. 59+49=108. 180-108=72!
I hope this helps!
HELP FAST PLEASE I'LL MARK YOU BRAINLIEST
Which equation represents the line that is perpendicular to y = 3x + 5 and passes through the point (-3, -4)?
1. y = (2/3)x − 5
2. y = −5x − (1/3)
3. y = (1/3)x − 5
4. y = −(1/3)x − 5
Answer: y = -1/3x -5 (4th option is correct)
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -1/3Find b.-4 = -3(-1/3) + b-4 = 1 +b-5 = b
Which graph represents functions ?
There are 3 feet in 1 yard.Find the number of feet in a 15 yard run by a football player.
Answer:
45
Step-by-step explanation:
15*3=45
Answer:
45
Step-by-step explanation:
Which statement is true?
Answer:
B, the second answer choice
Step-by-step explanation:
Hope this helped! Please mark me as brainliest if you can!
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/3 in. and width 1/6 in. The actual tiles have length 1/2 ft and width 1/4 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.
Answer:
1/8 and 1/324
Find the average rate of change
f(x)=x^2+9x+13 where x2=5 and x1=2
the answer in the picture
Write an equation of the line that passes through the given point and has the given slope. (6, 4); slope -3/4
Answer:
y=-3/4x+17/2
Step-by-step explanation:
the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
since we know the slope of the line, we can substitute it into the equation
y=-3/4x+b
we need to find b though.
since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.
substitute (6,4) into the equation
4=-3/4(6)+b
multiply
4=-9/2+b
17/2=b
the y intercept is 17/2
therefore the equation of the line is y=-3/4x+17/2
hope this helps :)
Why did some World War I veterans demand their government bonus in 1932 instead of waiting until 1945, when it was promised to be paid?
Answer:
The Bonus Army was a group of 43,000 demonstrators – made up of 17,000 U.S. World War I veterans, together with their families and affiliated groups – who gathered in Washington, D.C. in mid-1932 to demand early cash redemption of their service certificates. Organizers called the demonstrators the "Bonus Expeditionary Force", to echo the name of World War I's American Expeditionary Forces, while the media referred to them as the "Bonus Army" or "Bonus Marchers". The demonstrators were led by Walter W. Waters, a former sergeant.
Step-by-step explanation:
20 POINTS HELP QUICKLY
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There
are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies,
and 4 gold-wrapped candies. If 15 students select one candy at a time out
of the bag without looking, and replace the candy after each draw, how
many students would be expected to select a gold-wrapped candy from the
bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
4
there is only 4 golden wrapped candies
Answer:
B. 5 students
Step-by-step explanation:
There are 12 different candies to pick from, only 4 of which are gold. To find the chances of getting gold you divide 4 gold by the total of 12. This gives you a 1/3 chance of getting gold.
Since the chances are the same each time, you should expect 1/3 of the students to pick gold. So, divide 15 by 3(or multiply 15 by 1/3, same thing), to get 5 students.