Answer:
21.00 hours
Step-by-step explanation:
4 hours, 30 minutes=4.5 hours
4 hours, 45 minutes=4.75 hours
5 hours, 30 minutes=5.5 hours
6 hours, 15 minutes=6.25 hours
4.5 + 4.75 + 5.5 + 6.25 = 21.00 hours
What is the value of y in the equation 5x 2y = 20, when x = 0. 3?.
Answer:
3 y=9.25...................
Help please!
Matthew launches a ball is at 34 meters per sec from a 28 meter tall platform. The function of the ball's height (h) at time (*) seconds after launch is
h(t) = -12t^2 + 34t + 28.
Answer:
17 seconds
Step-by-step explanation:
h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..
28 = -2t² + 34t + 28
Now solve for t...
0 = -2t² + 34t (subtract 28 from both sides)
0 = t² - 17t (divide both sides by -2)
0 = t(t - 17) (factor out a t)
So
t = 0
or
t - 17 = 0
t = 17
0 seconds is the initial height. At 17 seconds, the ball will return to that height
i hope this work for you
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Step-by-step explanation:
[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
[tex]b+3 > 0[/tex]
Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.
[tex]b+3-3 > 0-3[/tex]
Simplify
[tex]b > -3[/tex]
Now we need to graph it:
Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Symbol Meaning
> Greater than
> Greater than or equal to
< Less than
< Less than or equal to
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Also look at the picture
Evaluate the function
f(x) = 11 - 3x1
for f(-2).
5
b. 7
C. 6
---
A
Answer:
Option B. 7
Step-by-step explanation:
Hello!
We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]
Solve:
f(x) = |1 - 3x|f(-2) = |1 - 3(-2)|f(-2) = |1 + 6|f(-2) = |7|f(-2) = 7Remember:
In an absolute value equation, a negative value turns positiveIn an absolute value equation, a positive value stays positiveAubree makes $25 a week helping her mom with her siblings. She wants to buy a computer that cost $500. How many weeks will it take her to have enough money to buy the computer?
Answer:
20 weeks
Step-by-step explanation:
This question, luckily, can be solved with a very simple algebraic expression.
Let w = the amount of weeks.
[tex]25w = 500[/tex]
So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]
Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.
Does the system of equations below have one solution, two solutions, three solutions or infinitely many solutions?
-3a + 24b + 9 = -111
a - 86 - 3c = 37
2a - 16b-6c = 75
А
1 Solution
B
2 Solutions
C No Solution
D
Infinitely many solutions
Answer:
B
Step-by-step explanation:
2 solutions because they is solution to it
2y= -3x + 8 i need the answer for this its graphing and equations 9th grade
If you're looking for the cartesian form of this straight line then that would be,
[tex] - 3x - 2y + 8 = 0[/tex]
If you're looking for the equation in the form of y=mx+b, then:
[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]
[tex]y = - \frac{3}{2} + 4[/tex]
Where -3/2 is the slope of the line
and 4 is the intersection with the y-axis (0,4)
if you want to graph this line, just take values of x and find their y, and plot these points.
finally join the points to get the graph of the line.
hope this clears things up
An ant walked 131millimeters directly toward a cookie crumb at a constant velocity. It took the ant 10.0seconds to walk that distance. What was the ant's velocity? Write your answer to the tenths place. ________millimeters per second directly toward the cookie crumb
Answer:
Velocity = 1.31 millimetres per second
Step-by-step explanation:
Given:
Total distance = 131 millimetres
Total time taken = 10 seconds
Find:
Velocity
Computation:
Velocity = Total distance / Total time taken
Velocity = 131 / 10
Velocity = 1.31 millimetres per second
AB= 12m, BC= 16 cm and AD= 13 m.
Find the area of the shaded region.
Answer:
100π - (96 + (13/2)√231 ) m^2
Step-by-step explanation:
We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.
There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.
Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.
so 144 + 256 = 400
√400 = 20
So diameter is 20
Finding the area of the top triangle:
1/2(12x16) = 96cm^2
For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.
400 = 169 + DC^2
DC^2 = 231
DC = √231
so the area of the bottom triangle is 1/2(13√231) = (13/2)√231
Now we add the area of the triangles for the quadrilateral and subtract from the circle area.
The circle area is 100π (πr^2)
Hence, the area of the shaded region is:
100π - (96 + (13/2)√231 ) m^2
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta
Step-by-step explanation:
Need to FinD :We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]
Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
PQ = Opposite sideQR = Adjacent sideRP = Hypotenuse ∠Q = 90°∠C = θAs we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,
[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]
Since, we know that,
cosθ = 5/13QR (Adjacent side) = 5RP (Hypotenuse) = 13So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,
[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]
[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.
[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]
Where,
Opposite side = 12Hypotenuse = 13Therefore,
[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]
Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.
[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]
By substituting the values, we get,[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the required answer is 17/7.
The sum of two numbers is 48. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
34 + 14 = 48
Step-by-step explanation:
have a great day
Step-by-step explanation:
Let x = larger number
Let y = smaller numer
(1) x + y = 48
(2) x = y + 14
Solving (1) for x:
x = 48-y
Substituting this into (2) and solving for y:
48-y = y+14
48-2y = 14
-2y = -34
y = 17
x = 48-y = 31
So, the smaller number is 17 and the larger number is 31
ALL CREDIT GOES TO J.R. S. DO NOT REPORT
The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12
Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, considering that the numbers are arranged, we have that there are:
4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.Hence:
T = 3 x 4! = 3 x 24 = 72.
There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
Can you solve this problem
Answer:
Yes, 6.
Step-by-step explanation:
it says it on the picture?
Anyways,
21-3=18
18+18=36
36÷6=6
Answer: 21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6
Step-by-step explanation:
What was the original price of the sneakers?
Answer:
the original price of the sneakers is $45
Answer:
45$$$$$
Step-by-step explanation:
What fraction of 5 is 3?
Step-by-step explanation:
5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.
So the Proper Factored Form=1+2/3=1 2/3.
In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)
The mathematical interpretation of "what fraction of 5 is 3?" is 5/3
First, we need to identify the numerator and the denominator
The numerator is the number on top of a fraction
The denominator is the number beneath a fraction
Since 3 is said to be a fraction of 5:
The numerator = 5
The denominator = 3
Fraction = Numerator / Denominator
Fraction = 5/3
Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3
Learn more here: https://brainly.com/question/9492789
find each measure for A and B
Answer:
b = 22
Step-by-step explanation:
74 + 74
= 148
180 - 148
= 22
i hope this work for you
The value of p(t)= 2 + t + 2t^2 - t^3 for t = 2
Options:
a) 4
b) -4
c) 6
d) 7
See picture for math work and answer.
What is the answer? Please help I need it today.
Answer:
0.141 in³
explanation:
[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]
using the formula:
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]
2X – 6Y =12 & -4X – 5Y = 27
Answer:
x=3y+6
Step-by-step explanation:
1.
Let's solve for x.
2x−6y=12
Step 1: Add 6y to both sides.
2x−6y+6y=12+6y
2x=6y+12
Step 2: Divide both sides by 2.
2x ÷2= (6y+12)÷2
x=3y+6
what is the value of 5x -2y if x=6 and y = -2
Answer:
34
Step-by-step explanation:
substitute x = 6, y = - 2 into the expression
5x - 2y
= 5(6) - 2(- 2)
= 30 + 4
= 34
у =-x +7
what the slope?^
Answer:
-1
hope it helps
Answer:
-1
Step-by-step explanation:
I graphed it out and got the answer. Plz give brainliest if you got it
Graph and find the area of the figure with the given vertices. 5. (−1, 4), (−4, −3), (4, −3)
Answer:
28 units^2
Step-by-step explanation:
A=1/2bh
base is 8
height is 7
A=1/2*56
A=28 units^2
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 183 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 61 cubic inches
Answer:
42 pounds per square inches.
Step-by-step explanation:
The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.
⇒ [tex]V\propto \dfrac{1}{P}[/tex]
or
[tex]V_1P_1=V_2P_2[/tex]
Volume, V₁ = 183 cubic inches
Pressure, P₁ = 14 pounds/square inch
We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,
[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]
Hence, the final pressure is 42 pounds per square inches.
please help you will get brainiest!!!!!!!!!!
Answer:
g(x) has a larger slope
Step-by-step explanation:
If you look closely, g(x) has a slope of 5.
One centimeter is 100 times bigger than a meter
True
False
Answer:
True
Step-by-step explanation:
1 Meter is equal to 100 centimeters
Answer: True
Explanation: 1 meter=100 cm
4. Find f(7) for
the function
below.
f(x) = 1/2 •2^x
Answer:
f(7) = 64
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x) , that is
f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64
Answer:64
Step-by-step explanation:
BIG BRAIN
Quick please will give brainliest to correct answer please and thank you.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )
m = = = = - 2
The line crosses the x- axis at (0, 2 ) ⇒ c = 2
y = - 2x + 2 ← equation of line
What is the mean?
5, 10, 8, 9, 9, 9
TYPE ONLY THE NUMERIC ANSWER (Round to the nearest tenths place)
Answer:
8.3
Step-by-step explanation:
5+10+8+9+9+9=50
50/6=8.333333333333333333333333333333333333333333
=8.3
Answer:
The mean is basically the average.
In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.
in this case…
5 + 10 + 8 + 9 + 9 +9 = 50
There are 6 given values, which are 5, 10, 8, 9, 9, 9.
We divide 50 (the total number) by the given amount (6).
50/ 6 = 8.33333…
Your answer is 8.3
Write the equation in point-slope form of the line that passes through the points (-10,4) and (10,8)
Answer:
10
Step-by-step explanation:
10 and 8 would be in between 10 and 9 hope this can help
during the first half of the year there were 54 students in the schools bicycling club. in the second half of the year the club had 68 members. find the percent of increase in club membership to the nearest whole percent
Answer:
To the nearest whole percent is 26%
Step-by-step explanation:
First half of the year = 54 students
Second half of the year = 68 members
find the percent of increase in club membership to the nearest whole percent ?
% increase in club membership = (new member - old member) / old member × 100
= (68 - 54) / 54 × 100
= 14 / 54 × 100
= 0.259 × 100
= 25.9 %
To the nearest whole percent is 26%