Answer:
t > 28
Step-by-step explanation:
Given
> 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t > 28[/tex]
Step-by-step explanation:
Multiply both sides of the inequality by 4:
[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]
Reduce the number with the greatest common factor 4:
[tex]t > 4 \times 7[/tex]
Multiply the number:
[tex]t > 28[/tex]
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PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
3=6
4=8
5=10
6=12
graph 1
Step-by-step explanation:
Given: f (x) = 3x^2 + 2x – 1
Find: f (-2)
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A passenger and a freight train start toward each other at the same time from
two points 300 miles apart. If the rate of the passenger train exceeds the rate
of the freight train by 15 miles per hour, and they meet after 4 hours, what
must the rate of each be?
The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:
P = F + 15
We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:
Distance covered by the passenger train: P × 4
Distance covered by the freight train: F × 4
Since they meet each other, the sum of their distances should add up to 300 miles:
P × 4 + F × 4 = 300
Substituting P = F + 15 into the equation, we can solve for F:
(F + 15) × 4 + F × 4 = 300
4F + 60 + 4F = 300
8F = 240
F = 30
Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:
P = 30 + 15
P = 45
Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
For such more questions Train Rates
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(NR) Natural Resources:Question 7
What are natural resources?
someone please helppp, i have 2 days to do 28 assignments plus a final exam
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9
Step-by-step explanation:
1 = x^2 - 6x
Adding 9 to both sides, we get
1 + 9 = x^2 - 6x + 9
10 = (x - 3)^2
Note that the right hand side is now a perfect square.
7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black
Answer:
5 marbles are black.
Step-by-step explanation:
7-2=5
Emma made 25 cookies. She gave cookies to her mom. Then, she split the remaining cookies evenly among 4 friends. Which expressions represent this scenario? Select all that apply. A (25+c)÷4 B 25÷4−c C 25−c4 D 25−4c E 25−c÷4 F (25−c)÷4 PLEASE HURRY
Answer: F. (25 − c) ÷ 4
Step-by-step explanation:
Emma had 25 cookies and gave c cookies to her mom and then divided the rest evenly amongst her 4 friends.
The cookies she shared to her friends are the 25 cookies minus the number of cookies she gave her mom which is:
= 25 - c
This (25 - c) was divided by 4 with each portion given to a friend so the total each friend got was:
= (25 - c) / 4
Can someone pls help me find X and Y
Answer:
y = 35°
z = 90°
Step-by-step explanation:
the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent
therefore, y = 35°
the third angle of the triangle on the left is 180-(90+35) = 55
therefore, this angle is vertical with the angle opposite it which is also 55°
to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answer:
No
Step-by-step explanation:
For the calculation for triangle area is wrong
A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola
Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
Enter the exponential function using t (for time) as the independent variable to model the situation. Then find the value of the function after the given amount of time. A new savings account is opened with $200 and gains 3.1% yearly for 8 years. The exponential function that models the situation is . After 8 years, the savings account has $ . , , , and .
Answer:
[tex](a)\ f(8) = 200(1 + 3.1\%)^8[/tex]
(b) After 8 years, the savings account has $255.32
Step-by-step explanation:
Given
[tex]a = 200[/tex] ---- initial (i.e. when t = 0)
[tex]r =3.1\%[/tex]
[tex]t = 8[/tex]
Solving (a): Model the situation
For growth, an exponential function is represented as:
[tex]f(t) = a(1 + r)^t[/tex]
This gives:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Solving (b): The solution to (a)
We have:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Express percentage as decimal
[tex]f(8) = 200(1 + 0.031)^8[/tex]
[tex]f(8) = 200(1.031)^8[/tex]
[tex]f(8) = 200*1.2766[/tex]
[tex]f(8) = 255.32[/tex]
How do you tell if a table is linear
Answer:
If x, y increase at a constant rate, it is linear.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Use trig ratios to solve for x. Side x is adjacent to the reference angle of 61 degrees, and the side that measures 59 is opposite the reference angle. This is the tangent ratio:
[tex]tan61=\frac{59}{x}[/tex] and
[tex]x=\frac{59}{tan61}[/tex] so
x = 32.7
if the family chooses to give you a 20% tip and the tax rate is 8.5% how much will they pay in total??
Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.
Answer:
Step-by-step explanation:
Can you find the surface area if it has a height of 5cm.
Answer:
767
Step-by-step explanation:
find the area of the shaded region
Answer:
9.82 inches²
Step-by-step explanation:
both areas are equally sized, so they are both half of the whole circle.
circle area : pi × r²
half of the circle area is therefore pi × r² / 2
the picture gives us the diameter of the circle, the radius is half of the diameter.
=> r = 5/2 = 2.5
=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²
4x + 3 + (-3) + 7x - 6x
Answer:
5x
Step-by-step explanation:
Answer:
2x+3 is it simplified
Step-by-step explanation:
Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all.
A)Total Number of Possible Outcomes B)Number of Winners
C)Number of Unfavorable Outcomes D)Number of Games
P(event) =
Number of Favorable Outcomes
_________________________
?????????????????????????????
=
?????????????????????????????
_________________________
11 Total Number of Contestants
(Pick two answers)
Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
solve the inequality 24<5x-1
Answer:
5 < x
Step-by-step explanation:
24<5x-1
Add 1 to each side
24+1<5x-1+1
25 < 5x
Divide by 5
25/5 < 5x/5
5 < x
Answer:
X>5.
Step-by-step explanation:
First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.
The air you breathe is 1/5 oxygen. What percent of the air is made up of other gases?
Answer:
80%
Step-by-step explanation:
1/5 is about 20%, so the remaining 4/5 is the remaining 80% of the air
Rewrite the equation by completing the square. 4x^2-4x+1=0
Answer:
[tex][x+(-1/2)^2]=0[/tex]-------------------
[tex]4x^2-4x+1=0[/tex][tex]4(x^2-x+1)-3=0[/tex][tex]x^2-x+1-3/4=0[/tex][tex]x^2-x+1/4=0[/tex][tex]x^2-2.x.1/2+(1/2)^2=0[/tex][tex](x-1/2^2)=0[/tex][tex]x+(-1/2)^2=0[/tex]---------------------
hope it helps..
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Tape diagram
7 a =35
Step-by-step explanation:
7a = 35
a = 35/7 = 5
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Toni participates in a 10-mile charity walk. For each mile she walks, a sponsor will donate $9 to the charity. The graph
represents the function that models the amount of money the sponsor will donate given the number of miles, x, Toni
walks.
Answer:9 times 10 equal 90 $
Step-by-step explanation:
M⁵ = what when m = ⅔
Answer:
Step-by-step explanation:
M^5
(2/3)^5
2^5/3^5
32/243
Answer:
0.13
Step-by-step explanation:
M ^5
Divide 2/3
Equals 0.6667
0.6667 ^ 5
Equals 0.13 Rounded
If f(x) 2(3x) 1, what is the value of f(2)?
1.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, –1); maximum
B. (–2, –2); maximum
C. (–2, –1); minimum
D. (–2, –2); minimum
Answer:
D. (–2, –2); minimum
Step-by-step explanation:
It’s D you got to see the lowest part of the graph and you will call it mini except if the graph was going down you will call that point maximum.
Answer:
D. (-2, -2); minimum
Step-by-step explanation:
The vertex is the where the curve turns up/down which divides the figure into two halves.
From the given graph, the graph turns up at (-2, -2) , the graph moves down, therefore, the vertex (-2, -2); minimum.
Hope this will helpful.
Thank you.
A triangle on the coordinate plane has vertices (-8,3), (3,9) and (9,3). What is the area, in square units, of the
triangle?
Answer: 51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?
Answer:
10
Step-by-step explanation:
every day he doubles the number of sold cars compared to the previous day.
so the sequence goes along the powers of 2 :
1
2
4
8
16
32
64
128
256
512
1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.
but - maybe we reached the total of 1000 cars already before that.
as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.
e.g. 8 = 4 + 2 + 1 + 1
64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1
therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.
so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.
It takes 11 days for the salesman to sell at least 1000 cars.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.
The inequality is : a(1-rⁿ)/(1-r) ≥ 1000
In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:
1(1-2ⁿ) ≥ 1000
1-2ⁿ ≥ 1000
2ⁿ ≤ 999
Now we can take the log base 2 of both sides
n ≤ log₂(999) +1
n ≤ 9.97+1
n ≤ 11
As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.
Learn more about inequalities here:
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100 POINTS
which of the following best describes the general situation in post war America
A. low unemployment
B. Great Depression
C. population decrease
D. equality for all
A. low unemployment
I hope this answer helps you...
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees