Answer:
t must be 7
Step-by-step explanation:
Replace s with 4 and solve for t in the original equation:
3 s = t + 5
3 (4) = t + 5
12 = t + 5
12 - 5 = t
7 = t
So t must be 7
A ( x ) = 4 − ( x + 3 )^5
The solution for A(3) in the function when the function A(x) = 4 − (x + 3)⁵ is -772
How to determine the solution for A(x) in the function?From the question, we have the following equation that can be used in our computation:
A ( x ) = 4 − ( x + 3 )^5
To make the equation legible, we need to rewrite it
So, we have the following representation
A(x) = 4 − (x + 3)⁵
Also from the question, we have
A(3)
This means that the value of x is 3, and we calculate A(x) when x = 3
Substitute the known values in the above equation, so, we have the following representation
A(3) = 4 − (x + 3)⁵
So, we have the following equation
A(3) = 4 − (3 + 3)⁵
There are constants to add or subtract to both sides of the equation
However, there is no factor to multiply or divide from both sides of the equation
So, we have the following representation
A(3) = 4 − (6)⁵
Solving further, we have
A(3) = 4 − 7776
Evaluate the difference
A(3) = −7772
Hence, the solution is −7772
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Possible question
Given A ( x ) = 4 − ( x + 3 )^5, find A(3).
Help math what is the equation of the line
please answer fast...............................
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
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Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
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What is the slope and y-intercept of the equation 3(y-2) + 6(x+1) - 2 = 0?
Answer:y
y=−2x+2/3
SLOPE:-2
Y-INTERCEPT:2/3
Step-by-step explanation:
Maggie picked 2/5 basket of strawberries and Sally picked 2/4. How much more did Sally pick?
Answer:
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5
0.5 - 0.4 = 0.1
Sally picked 1/10 of a basket more than Maggie picked
Answer:
1 this could change depending on how many berries are in each basket
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5
In a triangle the base is 4 inches and the height is 6 inches. Find the area. Type a numerical answer in the space
provided. Do not include units or use spaces in your answer.
Answer:
12
Step-by-step explanation:
area =1/2 base×height
=1/2 ×4×6
=12
Which equation represents this sentence? SIx times the difference of a number and eight is equal to twelve. A. 6n−8=12 B. 6n+8=12 C. 6(n−8)=12 D. 6(n+8)=12
Answer:
The answer is option CStep-by-step explanation:
Let the number be n
The statement
the difference of a number and eight is written as
n - 8
It's multiplied by 6
That's
6( n - 8)
The result is 12
So we have the final answer as
6( n - 8) = 12Hope this helps you
CAN SOMEONE HELP WITH THIS QUESTION?
The value of the given summation is:
\(\sum (29a_i - 13b_i) ]= -30\)
How to find the sum?Here we know that the sums are:
\(\sum a_i = -10\\\\\sum b_i = -20\)
And we want to find the value of the sum:
\(\sum (29a_i - 13b_i)\)
First we can distribute the sum to get:
\(\sum 29a_i + \sum - 13b_i\)
And take the coefficients out of the sum:
\(29\sum a_i -13\sum b_i\)
Now replace the known values:
\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)
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Round 7.5 to nearest whole number
Answer:
The answer is 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
When a number has .5 after it you round up.
So, if a number has 5, 6, 7, 8, or 9 after the decimal round up
If a number has 1, 2, 3, or 4 after the decimal round down
Hope this helps!!
- Kay :)
anyone have the answer to this one?
Area of the rectangle is 60
Area of the semi circle 14.13 ir 14.1
60 plus 14.1 is 74.1
I hope its right
Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Help mat math Math ASAP
Answer:
(11, 2 )
Step-by-step explanation:
3y + 2x = 28 → (1)
x = 5y + 1 → (2)
substitute x = 5y + 1 into (1)
3y + 2(5y + 1) = 28 ← distribute parenthesis on left side and simplify
3y + 10y + 2 = 28
13y + 2 = 28 ( subtract 2 from both sides )
13y = 26 ( divide both sides by 13 )
y = 2
substitute y = 2 into (2)
x = 5(2) + 1 = 10 + 1 = 11
solution is (11, 2 )
What is the equation of the function that is graphed as line b? pls helpppppppp
The equation of the function that is graphed as line b is y = 1/2x + 1
How to determine the equation of the line bFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph of line b, we have the following points
(-2, 0) and (0, 1)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 1
Using the other point, we have
-2m + 1 = 0
When evaluated, the solution is
m = 1/2
So, the equation becomes
y = 1/2x + 1
Hence. the equation is y = 1/2x + 1
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Happy
Programmers' Day!
Answer:
thanks for saying that
Step-by-step explanation:
happy programmers day to you to
5 times of the age of a son is the age of his father. If the sum of their ages is 42 years, determine the age
Answer:
The son is 7 years old.
The father is 35 years old.
Step by step explantation:
Father's age-\(5x\)
Son's age-\(x\)
\(5x+x=42\)
\(6x=42\)
\(42\)÷\(6=7\)
\(7\)×\(5\)\(=35\)
Please mark it the brainliest.
a person walked x feet an then 1/4 that length again. two students wrote different equations to represent this relationship. y=x+ 1/4x and y=5/4 x explain why both are true
Let x be the lenght, then he walked
\(y=x+\frac{1}{4}x\)By combining similar terms, we get
\(y=(1+\frac{1}{4})x\)now, since
\(1+\frac{1}{4}=\frac{4}{4}+\frac{1}{4}=\frac{4+1}{4}=\frac{5}{4}\)we can write
\(y=\frac{5}{4}x\)thats why both equations express the same sentence.
Zareen has 24 minutes to work on her math homework, and each problem is taking her Two-thirds of a minute, on average, to complete. Which expression can be used to determine the number of math problems she will be able to complete in the time she has? 24 divided by two-thirds 24 times two-thirds Two-thirds divided by 24 Three-halves divided by 24
Answer: 24 divided by 0.20= 120
Step-by-step explanation:
2/3 of a minute is 0.20 seconds so to see how many questions to do you have to take 24 and divide it by 0.20 (basically see how many times 2/3 of a minute goes into 24)
Answer:
a?
Step-by-step explanation:
The histogram shows the result of a survey about the number of hours students watch television on the weekend.
How many students participated in the survey?
The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.
What is a histogram?A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.
The number of students who watched between 0 - 4 hours = 20
The number of students who watched between 5 - 9 hours = 40
The number of students who watched between 10 - 14 hours = 30
The number of students who watched between 15 - 19 hours = 20
The number of students who watched between 20 - 24 hours = 15
The total number of students who participated = 125
Thus, using the histogram, the total number of students who participated in the survey was 125.
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If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.
Answer:
I gotchu
Step-by-step explanation:
The volume triples
Odysyware
Answer:
The volume triples
Step-by-step explanation:
i got 100% on quiz for odysseywa
The graph shows the distribution of the number of text messages young adults send per day.
A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.
Which statement describes the distribution?
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
B) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
C) The distribution is approximately Normal, with a mean of 30 messages and a standard deviation of 128 messages.
D) The distribution is uniform, with a mean of 128 messages and a standard deviation of 30 messages.
The statement that describes the distribution based on the given information is:
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
The statement that describes the distribution based on the given informationThe graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.
The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.
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Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this
Answer:
YOU DID THAT TEST? samee
Step-by-step explanation:
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.
n xbar s
Sham 20 0.41 1.26
Magnet 20 0.46 0.93
Answer and Step-by-step explanation: The null and alternative hypothesis for this test are:
\(H_{0}: s_{1}^{2} = s_{2}^{2}\)
\(H_{a}: s_{1}^{2} > s_{2}^{2}\)
To test it, use F-test statistics and compare variances of each treatment.
Calculate F-value:
\(F=\frac{s^{2}_{1}}{s^{2}_{2}}\)
\(F=\frac{1.26^{2}}{0.93^{2}}\)
\(F=\frac{1.5876}{0.8649}\)
F = 1.8356
The critical value of F is given by a F-distribution table with:
degree of freedom (row): 20 - 1 = 19
degree of freedom (column): 20 - 1 = 19
And a significance level: α = 0.05
\(F_{critical}\) = 2.2341
Comparing both values of F:
1.856 < 2.2341
i.e. F-value calculated is less than F-value of the table.
Therefore, failed to reject \(H_{0}\), meaning there is no sufficient data to support the claim that sham treatment have pain reductions which vary more than for those using magnets treatment.
If a bar of soap cost 70p and a box of plasters cost 95p how much does buying one of each cost
The cost of buying one of each of the soap and plaster is 165p.
How to calculate the cost?From the information, the bar of soap cost 70p and a box of plasters cost 95p.
It should be noted that in order to find the total cost, we will have to add the. oat of each product.
This will be:
Total cost = Cost of soap + Cost of plaster
= 70p + 95p
= 165 p
The cost is 165p.
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Simplify the expression to a polynomial in standard form: (3x + 10) (2x² - 2x + 3)
Step 1
Write out the question.
\(\begin{gathered} (3x+10)(2x^2\text{ - 2x + 3)} \\ =3x(2x^2-2x+3)+10(2x^2\text{ - 2x + 3)} \\ =6x^3-6x^2+9x+20x^2\text{ - 20x + 30} \\ =6x^3+14x^2^{}-11x+30^{} \end{gathered}\)What are the 3 different types of inequality?
The five inequality symbols are greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol ().
What are a few illustrations of inequality?In mathematics, an inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In mathematics, the five inequality symbols are greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol (). When solving an inequality, you can: • add the same amount to each side; • subtract the same amount from each side; and • multiply or divide each side by the same positive quantity. If you multiply or divide each side by a negative number, the inequality symbol must be reversed.To learn more about inequality refer to:
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please help me I don't understand this at all
this is due soon. i will give many points
please show work too
Answer:
a) θ = \(\frac{4}{3}\pi\) b) r = 31.27 inch
Step-by-step explanation:
(a)
area of sector: \(\frac{1}{2}\) * r² * θ
384 = \(\frac{1}{2}\) * r² * θ
384 = \(\frac{1}{2}\) * (24)² * θ
θ = 384/288
θ = \(\frac{4}{3}\pi\)
(b)
384 = \(\frac{1}{2}\) * r² * \(\frac{\pi }{4}\)
r² = 384 * 2 * \(\frac{4}{\pi }\)
r² = 977.848
r = √977.848
r = 31.27 inch
In the isosceles right triangle below, AB = 10 feet. What is the length, in feet, of AC? 10' B С
Answer:
Option C is correctStep-by-step explanation:
We know that:
In an Isosceles triangle, two sides (Known as legs) are the same length.AB = 10 feet.Let's solve this with the help of Pythagoras theorem.
h² = 10² + 10²=> h² = 100 + 100=> h² = 200=> √h² = √200=> h = √200=> h = √100 x 2=> h = 10√2Looking at the options, Option C is correct because 10√2 is equal to √200.
Hoped this helped.
\(BrainiacUser1357\)
Find the missing angle
RPQ= __________
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
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Answer: 115 degrees
Step-by-step explanation:∠
RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
the following are the populations for the top twelve largest cities in the u. s. New York city, NY: 8,336,817 Los Angeles ca: 979.576 Chicago, il:2,693,976 Houston, Tx: 2,320,268 phoenix Az: 1,680,992 Philadelphia pa: 1,584,064 San Antonio Tx: 1, 547,253 San Diego ca: 1,423,851 Dallas Tx: 1,343,573 San Jose ca: 1,021,795 Austyn tx:978,908 Jacksonville Fl: 911,507. what is the mean population?, what is the median population?, what is the mode?, what is range?, what is the standard deviation?I need the standard deviation, I already did mode, mean, range, take the value of the population of each city, subtract the mode raised to 2, it does not give me the result
The mean is 2,071,798.33
The Median is 1,485,552
The range is 7,425,310
The standard deviation is given as 1961105.68
The mean population can be computed as:Mean = (Sum of all populations) / (Number of cities)
= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12
= 24,861,580 / 12
= 2,071,798.33
To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:
911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817
Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:
Median = (1,423,851 + 1,547,253) / 2
= 1,485,552
The mode isn't applicable here as no city population repeats.
The range is the highest population minus the lowest population:
Range = 8,336,817 - 911,507
= 7,425,310
Standard deviation = (911507- 2068548.3333333)² + (978908 - 2068548.3333333)² + (979576 - 2068548.3333333)² + ( 1021795 - 2068548.3333333)² + (1343573- 2068548.3333333)² +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)² +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12
= 46151226311869 / 12
= 3845935525989.1
\(standard deviation = \sqrt{ 3845935525989.1}\)
= 1961105.6896529
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