50 seconds
Recall the equation
d=rt
Distance = rates times time.
We have a single distance, 400m
We have two different rates 1 1/3 m/s and 1.6 m/s
Let's calculate the time for each rate
t = d/r
t = 400/(1 1/3) = 300 seconds
t = 400/1.6 = 250 seconds
By increasing his average speed, Alex will reduce his time by
300-250 = 50 seconds.
Help!!! What translation is made from f(x) = x to f(x)= 0.2 (x+3)
A: clockwise rotation and translation 3 units to the left
B: clockwise rotation and translation 3 units to the right
C: counter-clockwise rotation and translation: 3 units to the right.
D:counter-clockwise rotation and translation 3 units up.
Answer: A
Step-by-step explanation: when you add +3 you move 3 units left on the x axis and when its -3 it would be right.. hope it helps please give brainliest! but the best answer is A the others are not right
Clockwise rotation and translation 3 units to the left.
What is Translation?Translation is a rigid transformation that the function shift to upwards or downwards.Given that the function f(x) = x translates to f(x) = 0.2 (x+3)
When we add 3 units to x, then the graph x shift left by 3 units.
By dilation, the graph will rotate clockwise.
Hence, the function f(x) = x translates to f(x) = x, clockwise rotation and translation 3 units to the left.
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What are the advantages of using percentages to represent ratio
The advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
We need to write the advantages of using percentages to represent the ratio.
What is the percentage?The percentage is a fraction or a ratio in which the value of the whole is always 100.
The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Ratio: The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to ratios, they can be converted to decimals very quickly, and percentages can be used to show the change in a number (20% of 50: 50% of 10), telling you what the original number is (10:5 or 2:1 doesn’t give you the starting numbers).
Therefore, the advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
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2 Points
Identify an equation in slope-intercept form for the line parallel to y=-3x + 7
that passes through (2,-4).
Answer:
y = -3x + 2
Step-by-step explanation:
Parallel means same slope which is -3
Step 1: Use point slope form
(y - y1) = m(x - x1)
(y - (-4)) = -3(x - 2)
y + 4 - 4 = -3x + 6 - 4
y = -3x + 2
Answer: y = -3x + 2
Sally has 56 apples and she wants to share for her 14 friends. How? Explain
Answer:
4 apples per friend
Step-by-step explanation:
Step 1: Find how much she can share for each friend
56 / 14
4 apples per friend
Answer: 4 apples per friend
To find how many apples each friend gets, we can divide.
56 / 14 = 4 apples per friend.
Best of Luck!
b+ 1/3(-b+a)
How to simplify?
Answer:
2/3 b +1/3 a
Step-by-step explanation:
b+ 1/3(-b+a)
= b - 1/3b + 1/3a
= 2/3 b +1/3 a
I hope this was helpful, please mark as brainliest
f(x)=-x2+1 what’s f(2) ?
Answer:
f(2)= 5
Step-by-step explanation:
Given f(x) = -x² + 1
f(2) = -2² + 1 = 4 + 1 = 5
f(2) means the value of x = 2
Hence we substitute the value of X into f(x) = -x² + 1
Nathan bought a pair of boots
for $80 and 2 shirts for $20
each. The sales tax is 7.5%.
How much did Nathan pay for
all the items, including tax?
Justify your reasoning.
NEED HELP FOR HOMEWORK WILL MARK BRAINLEST:)
Answer:
$129
Step-by-step explanation:
80 + 2(20) = 80 + 40 = 120
With tax: 100 + 7.5 = 107.5%
107.5/100 × 120
129
Answer:
129
Step-by-step explanation:
First find the cost for how much was purchased
boots: 80
2 shirts: 2*20 = 40
80+40 = 120
The tax is the cost times the tax rate
tax = 120 * 7.5%
= 120 * .075
9
The total cost is the cot plus the tax
total cost = 120+9
=129
In a survey, 250 shoppers were asked whether they have access to a computer at home and if they have a personal e-mail account. Their responses are summarized in the following table.
E-Mail account/ No e-mail account
Computer access at home--------- 73------------------32
No computer access at home----22------------------123
(a) What percentage of the shoppers do not have computer access at home?
(b) What percentage of the shoppers do not have an e-mail account?
Answer:
a) 42%
b) 62%
Step-by-step explanation:
a) (73+32)/250 × 100 = 42
b) (32+123)/250 × 100 = 62
58% of shoppers do not have access to a computer at home, and 62% of shoppers do not have an e-mail account.
Explanation:Let's first calculate the total number of shoppers. From the survey, 250 people were interviewed. We want to find (a) The percentage of shoppers who do not have computer access at home and (b) the percentage of shoppers who do not have an e-mail account.
(a) According to the table, the number of shoppers who do not have computer access at home is 22 + 123 = 145. The percentage can be calculated as 145/250 * 100 = 58%. Therefore, 58% of shoppers do not have computer access at home.
(b) The number of shoppers who do not have an e-mail account equals 32 + 123 = 155. The percentage is calculated in the same way, 155/250 * 100 = 62%. Therefore, the percentage of shoppers who do not have an e-mail account is 62%.
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What is the prime factorization of 45
Answer:
3^2X5
Step-by-step explanation:
Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.
Answer:
Option B, 3^2 * 5
Step-by-step explanation:
Step 1: Find the prime factorization of 45
45 = 9 * 5
9 can be simplified as 3^2
5 cannot be simplified because it is a prime number
9 * 5
3^2 * 5
So, 45 = 3^2 * 5
Answer: Option B, 3^2 * 5
heehee please help meehee
Option B
[tex]3 x\sqrt{2} x[/tex] is the choice equivalent to [tex]\sqrt{6} x^{2} \cdot \sqrt{3} x[/tex]
Solution:
Step 1:
When we multiply two roots i.e. [tex]\sqrt{6} x^{2}[/tex] and [tex]\sqrt{3} x[/tex] the values are multiplied and still kept inside the root.
So [tex]\sqrt{6} x^{2}[/tex] × [tex]\sqrt{3} x[/tex] = [tex]\sqrt{6} x^{2} \times 3 x[/tex].
Step 2:
We then multiply the values in the root.
[tex]\sqrt{6} x^{2} \times 3 x[/tex] = [tex]\sqrt{18 x^{3}}[/tex]
Step 3;
We take the values out of the root by splitting up the value.
[tex]{18 x^{3}}[/tex] = [tex](9 \times 2)\left(x^{2} \times x\right)[/tex]
[tex]\sqrt{9}=3[/tex] and [tex]\sqrt{x^{2}}=x[/tex]
So [tex]\sqrt{18 x^{3}}[/tex] = [tex]\sqrt{9} \times 2 \times x^{2} \times x[/tex]
When we take values out of the root, we replace it with the square-rooted value on the outside.
[tex]\sqrt{18 x^{3}}[/tex] = [tex]3 x \sqrt{2 x}[/tex].
Thus option B is correct
Which table of values is correct for the equation y = - x + 3.
x y
-3 0
0 3
3 6
x y
-3 -6
0 -3
3 0
x y
-3 0
0 -3
3 -6
x y
-3 6
0 3
3 0
Answer:
x y
-3 6
0 3
3 0
Step-by-step explanation:
The correct table of values for the equation y = -x + 3 is x; y; -3; 6; 0; 3; 3; 0.
Let's go through the steps to find the values of y for the given equation y = -x + 3 for the specified values of x:
1. For x = -3:
y = -(-3) + 3 = 6
2. For x = 0:
y = -(0) + 3 = 3
3. For x = 3:
y = -3 + 3 = 0
Therefore, the correct table of values is:
x y
-3 6
0 3
3 0
The correct values are [tex]\(x \; y \; -3 \; 6 \; 0 \; 3 \; 3 \; 0\)[/tex].
Solve
What is 83.2 x 0.19
Answer:15.808
Step-by-step explanation:
you just multiply no need to line up the decimal points tho
pls help! will give brainlist!
find the volume of the figure above in cubic centimeters.
A. 23 cm³
B. 144 cm³
C. 288 cm³
D. 44 cm³
Answer:
144cm^3
Step-by-step explanation:
[tex]V=1/2bh\\V=1/2(8*3)(12)\\V=1/2(24)(12)\\V=12(12)\\V=144[/tex]
The equation A=0.05bh gives the area of a triangle, where b is the length of the base and h is the height. Solve this equation for h.
Answer:
You would divide both sides by 0.05b, so that you would get h = A/0.05b
Step-by-step explanation:
SInce you are trying to isolate the variable, and the variable is being multiplied by 0.05b, you would simply do the opposite, or divide, in order to get h by itself.
Answer:
A=0.05bh we divide both sides by "h"
A/h = .05b then we multiply both sides by 20
(20 A) / h = b
Step-by-step explanation:
I need the answer if u can’t see the pic let me know if u answer I give u points
Answer:
(4 , 2)
Step-by-step explanation:
The solution of the graph is located where the two lines intersect. Remember, the x (horizontal line), is always first, and then followed by the y (vertical line).
The two lines intersect at (4, 2), making B) your answer.
~
Is the graphed function linear?
Step-by-step explanation: Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function. The domain of this function is the set of all real numbers. The range of f is the set of all real numbers. The graph of f is a line with slope m and y intercept b.
A townhouse in San Francisco was purchased for $80,000 in 1975. The appreciation of the building is modeled by the equation: A=80000(1.12)^t, where t represents time in years.
In what year was the building worth double it’s value in 1975?
Year:
Answer:
In 1981 was the building worth double it’s value.
Step-by-step explanation:
Given : A townhouse in San Francisco was purchased for $80,000 in 1975. The appreciation of the building is modeled by the equation : [tex]A=80000(1.12)^t[/tex], where t represents time in years.
To find : In what year was the building worth double it’s value in 1975?
Solution :
The amount is $80,000.
The building worth double it’s value in 1975.
i.e. amount became A=2(80000).
Substitute in the model,
[tex]2(80000)=80000(1.12)^t[/tex]
[tex](1.12)^t=\frac{2(80000)}{80000}[/tex]
[tex](1.12)^t=2[/tex]
Taking log both side,
[tex]t\log (1.12)=\log 2[/tex]
[tex]t=\frac{\log 2}{\log (1.12)}[/tex]
[tex]t=6.11[/tex]
i.e. Approx in 6 years.
So, 1975+6=1981
Therefore, in 1981 was the building worth double it’s value.
The building was worth double its value in [tex]1975[/tex] around the year [tex]1981[/tex]
To determine in what year the building was worth double its value in [tex]1975[/tex], we need to set up the equation based on the appreciation model given:
[tex]\[ A = 80000 \times (1.12)^t \][/tex]
Here, [tex]\( A \)[/tex] represents the current value of the townhouse in dollars, and [tex]\( t \)[/tex] represents the time in years since [tex]1975.[/tex]
We want to find the year [tex]\( t \)[/tex] when the value [tex]\( A \)[/tex] is double the initial value of [tex]\$80,000[/tex]
[tex]\[ A = 2 \times 80000 = 160000 \][/tex]
Now, substitute [tex]\( A = 160000 \)[/tex] into the equation:
[tex]\[ 160000 = 80000 \times (1.12)^t \][/tex]
Divide both sides by [tex]80000[/tex] to solve for [tex]\( (1.12)^t \)[/tex]
[tex]\[ 2 = (1.12)^t \][/tex]
To solve for [tex]\( t \)[/tex], take the natural logarithm ([tex]ln[/tex]) of both sides:
[tex]\[ \ln(2) = \ln((1.12)^t) \][/tex]
[tex]\[ \ln(2) = t \times \ln(1.12) \][/tex]
Now, divide both sides by [tex]\( \ln(1.12) \)[/tex] to solve for [tex]\( t \)[/tex]:
[tex]\[ t = \frac{\ln(2)}{\ln(1.12)} \][/tex]
Using a calculator to find the approximate value:
[tex]\[ t = \frac{0.6931}{0.1178} = 5.88 \][/tex]
Since [tex]\( t \)[/tex] represents years after [tex]1975[/tex], we add this to [tex]1975[/tex] to find the year when the building was worth double its value in [tex]1975[/tex]:
[tex]\[ \text{Year} = 1975 + 5.88 = 1980.88 \][/tex]
In [tex]1981[/tex], the building was worth double its value in [tex]1975.[/tex]
Anyone knows how to find x for number #7 & #8 ?
Answer:
7) 80 degrees
8) x = 73 and the angle(KEF) = 147
Step-by-step explanation:
360 - 160 = 200
200 - 53 = 147
2x+1=147
x = 73
what is the slope of the line y=3
Answer:
0
Step-by-step explanation:
The line y=3 has a zero slope (lays horizontal).
Answer:
Step-by-step explanation:
y=3 is parallel to x axis.
x axis and any line parallel to x axis has slope=0
Please help! Easy question!
Answer:
the last option is the correct option
Step-by-step explanation:
Answer: Fourth option
Step-by-step explanation:Why is because the question says they made at most meaning its max is $8,000 and its able to be equal to or less than so its closed dot.
15-7 5/6
i need help
first person is the brainliest
Answer:
7 1/6
Step-by-step explanation:
So first step, you subtract the two regular numbers like any other subtraction. 15-7 is 8. Now u have 8 - 5/6, so you change 8 into 7 6/6 - 5/6, since 6/6 is still 1. Now since you have a common denominator, you just subtract the fractions and get 7 1/6.
Train A can travel a distance of 600 miles in 8 hours. Assuming the train travels at a constant rate, write the linear equation that represents the situation
Answer:
y = 75x
Step-by-step explanation:
If the train travels 600 miles in 8 hours, 600/8 gives us the hourly rate. 600/8 = 75 mph
Therefore, y = 75x
Answer: y = 75x
Answer:
Step-by-step explanation
(distance) = (rate) times ( time)
d=r times t
d= distance in miles
r= rate in mi/hr.
t=time in hours
r = 600/8
r = 75t
what is the answer to 2 3/4 ÷ 1 5/8
System of equations
2x+1=5
x=2 :)
2x+1-1=5-1
2x=4
2/2x=4/2
x=2
if you do the opposite on one side you gotta do it on the other :)))
Answer:
x=2
Step-by-step explanation:
2x+1+5 move constant to right-hand side and change its sing
2x+5-1 subtract the numbers
2x+4 Divide both sides of the equation by 2
What is the perimeter of the rectangle?
22 centimeters
24 centimeters
26 centimeters
28 centimeters
Answer:
The answer is 24 centimeters or option(B)
Step-by-step explanation:
Answer:
The correct answer is B. 24 cm.
Step-by-step explanation:
hope this helps, and have a nice day! :)
the weight of 72 books is 9kg . what will be the weight of 40 such books?
Answer: 5kg
Step-by-step explanation:
If 72 books weigh 9kg
Then, 1 book weighs 9/72 = 1/8 kg
Therefore, 40 books will weigh
40 times 1/8 = 5kg
which equation can be used to find x the length of the hypotenuse of the right triangle?
Answer:
Explanation:For any right triangle, the longest side is called the hypotenuse. Therefore, by Pythagorean theorem it is true that:
[tex]x^2=a^2+b^2[/tex]
Where:
x: Hypotenuse
a, b: The other two sides.
For instance, if we have a right triangle whose sides measure:
[tex]a=3 \\ \\ b=4[/tex]
Then, the hypotenuse can be found as:
[tex]x=\sqrt{3^2+4^2} \\ \\ c=\sqrt{25} \\ \\ c=5[/tex]
What are possible values of x and y, if
[tex]2 \sqrt[3]{3xy} = - 4 \sqrt[3]{18} [/tex]
Answer:
y = -48/x . . . . . infinite possibilitiesfor integer solutions, see belowStep-by-step explanation:
The equation can be put into more conventional form:
[tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]
This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.
__
Possible integer values are ...
(x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}
A serial killer is stalking the residents of Gloomy Falls, Mass. Where the population is 937. Every year the population decreases by 4.5%. How many residents will be left after the killer's three-year rampage? How would you stop him?
The population of Gloomy Falls will decrease to approximately 816 residents after three years, due to a yearly decline of 4.5%.
Explanation:The problem posed involves calculating the decreasing population of a town under a hypothetical scenario. Given that Gloomy Falls has a starting population of 937, and it decreases by 4.5% annually, we need to apply this percentage decrease over a three-year period. The formula to calculate the population after each year is: Population after n years = Initial population × (1 - rate of decrease)n, where n is the number of years.
So we calculate the population as follows:
Year 1: 937 × (1 - 0.045) = 937 × 0.955 = 894.865Year 2: 894.865 × 0.955 = 854.695Year 3: 854.695 × 0.955 = 816.233After rounding, we can estimate that approximately 816 residents will be left after three years. This is purely a mathematical exercise and the scenario of a serial killer is just for illustrative purposes.
what’s 12x12? help me asap
Answer:
144
Step-by-step explanation:
12X12 is also 12+12+12+12+12+12+12+12+12+12+12+12
Lets simplify that though.
12(10)+12(2) (since 10 plus 2 is 12)
120+24
144
The value of the expression 12 * 12 = 144
The meaning of the expression 12 * 12 could also be interpreted as adding 12 in 12 places.
We could rewrite as thus :
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12Adding the above would give a value of 144.
Hence, 12 * 12 = 144
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