======================================================
Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
If t = 17, then h(t) = sqrt(17t) based on what the first row saysIf t = 19, then h(t) = -34/t which is the second row of the piecewise function.If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-tThe notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
Add 0 and write t
8
+
0
Answer:
8t
Step-by-step explanation:
Add 0 to 8 and then add the letter variable t.
8x – 6 = 2 (4x + 3)
Is it no solution?
Answer:
X=12
Step-by-step explanation:
8×-6=2(4×+3)
8x-6=8×+6
8×-8×=6+6
×=12
Solve the equation: only write the number is the box
2( 5x+2)=54
the sum 4 times a number and 7 is 31
Step-by-step explanation:
I'm not sure what you're looking for exactly, but it translates to this equation
4x + 7 = 31
I need help please can someone help me !!!!!!
Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.
Answer:
($14.37 was the original price)
Step-by-step explanation:
AC but is 20 m above the surface of the ocean what is the Evevation
Sea level starts at 0m
Since we start at 0 and it is 20m above sea level, we can add.
0 + 20 = 20m
Therefore, the elevation is 20m
Best of Luck!
Least to greatest 3/4, 0.5 and 14/5
Answer: 0.5, 3/4, 14/5
Step-by-step explanation:
find the answer to = d/4 < 16
Answer:
d < 64
.....................
The square root of 39 is between which two integers?
Answer:
6 and 7 sorry if im wrong
64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number
Answer:
Answer: The answer is (B) 48.5%.
Step-by-step explanation: Given that a number cube is rolled with the results that 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes appears. We are to calculate the experimental probability of rolling an even number.
The number of ways in which an even number is rolled is given by
and the total number of ways is given by
Therefore, the required probability is given by
Thus, (B) is the correct answer.
Which of the following is most likely the next step in the series?
The most likely next step in the series is Option B.
Option B is the correct answer.
What is a series of patterns?A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.
The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.
We have,
From the series of patterns, we see that,
The number of arrows is increasing in odd arithmetic numbers.
So,
1, 3, 5,
The next step must have 7 arrows.
And,
The color is alternated as:
Red, Blue, Red Blue.
So,
The next step in the series must be a blue color.
Thus,
The most likely next step in the series is Option B.
Learn more about a series of patterns here:
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The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number? -4 -1 1 4
Answer:
4
Step-by-step explanation:
let 'x' be the unknown number
let's change the statment to an equation
2x + 10 = 6 (x-1)
2x + 10 = 6x - 6
2x - 6x = -6 - 10
-4x = -16
-4x = - 16
-4. -4
x = 4
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For any question comment me
Answer:
4
Step-by-step explanation:
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects, Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let a represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
Statement 2, Statement 4, and Statement 5 all applies
Step-by-step explanation:
Statement 1:
The expression 50ℎ represents the total charge for Rock the House Digital Designs.
Rock the House Digital Designs:
Initial consultation charge of $500 + $50 for every additional hour of work for the house plans
500 + 50h
NOT TRUE
Statement 2:
The expression 75ℎ represents the total charge for Elegance Home Architects.
Elegance Home Architects:
$75 per hour for the house plans
75h
TRUE
Statement 3:
The cost for using Rock the House Digital Designs for an initial consultation only is $550.
The cost for using Rock the House Digital Designs for an initial consultation only is $500
NOT TRUE
Statement 4:
If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
Rock the House Digital Designs = 500 + 50h
500 + 50(15)
= 500 + 750
= $1,250
Elegance Home Architects = 75h
= 75(15)
= $1,125
TRUE
Statement 5:
If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Rock the House Digital Designs = 500 + 50h
= 500 + 50(40)
= 500 + 2,000
= $2,500
Elegance Home Architects = 75h
= 75(40)
= $3,000
TRUE
A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)
Answer: 16,425 gallons are wasted a year
Step-by-step explanation:
First find out how many minutes there are in a year then multiply it by how much oz the faucet leaks every years then convert it into gallons.
There are 525,600 minutes in a year now multiply it by 4.
525,600 * 4 = 2,102,400 So there are more than 2 million oz wasted in a year so now convert it to gallons.
If there are 128 oz for every gallons the divide 2,102,400 by 128 to find out how many gallons are wasted a year.
2,102,400 / 128 = 16,425
A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function . What is the minimum unit cost? Do not round your answer.
Answer:
The function is missing in the question. The function is [tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
The answer is 4930
Step-by-step explanation:
Unit cost of a car is given as
[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
Cost will be minimum when
x = -(-544)/ 2 x 0.8
= 340
Therefore, minimum cost for unit car is
[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
[tex]$ = 0.8(340)^2 -544(340) +97410 $[/tex]
= 4930
can someone help please?
Answer:
D
Step-by-step explanation:
Suppose B is between A and C. If AB = 7 and AC = 11, find BC.
A
7
С
B.
11
BC = 4
BC = 18
BC = 7
BC = 12
answer is BC=4
notice that the starting point is A and the endpoint is C, it stated that from A to B the value is 7 and from A to C the value is 11 we just need to subtract AC-AB to find the third value of it
AC-AB= 11-7 =4
4. Assume that you have a part-time job at which you work 20 hours per week at the rate
of $7.50 per hour (net of all payroll deductions). You are also required by your parents to
pay all your expenses, except rent and three meals a day, from those earnings. How much
per minute would you earn?
Answer:
0.125
7.50/60=1.25
since there 60 minutes in one hour you would divide the hourly rate by 60.
A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.
Answer:
The confidence interval is (0.1008, 0.1792)
Step-by-step explanation:
According to the question, the data provided is as follows
p′=0.14
sampling standard deviation of σp′= 0.02
Based on the above information
The computation of the 95% confidence interval for the true or correct proportion is
Here we apply the z value of 95% confidence interval i.e. 1.96
Now the confidence interval is
[tex]= (pcap - z\times sigma, pcap + z\times sigma)\\\\= (0.14 - 1.96\times 0.02, 0.14 + 1.96\times 0.02)\\\\= (0.1008, 0.1792)[/tex]
4(2x-8)=3(2-3x) Pls tell Me what the answer is
A submarine dives below the surface, heading downward in two moves. If each move downward was 355 feet, where is the submarine after it is finished diving?
Answer: The submarine would be 710 feet below the surface after it is finished diving.
Step-by-step explanation:
Given: Each move downward was of 355 feet
If the submarine dives below the surface, heading downward in two moves.
Then, the total distance moved by submarine = 2 (355) feet
= 710 feet
Therefore, the submarine would be 710 feet below the surface after it is finished diving.
(x-6)(x2+3x+4) Please show working or at type a sentence on how you got it.
Answer:
x³-3x²-14x-24
Step-by-step explanation:
(x-6)(x^2+3x+4)
first multiply x by x^2+3x+4
x×x²=x³
x×3x=3x²
x*4=4x add
x³+3x²+4x ( first part)
multiply -6 by x²+3x+4
-6x²-18x-24
x³+3x²+4x -6x²-18x-24 ( simplify)
x³-3x²-14x-24
A 351- foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is the shortest piece of rope?
Answer:
87.75
Step-by-step explanation:
Help ASAP please
✌✌
Answer:
Step-by-step explanation:
1. [tex]\sqrt{72}[/tex] break it apart so you can solve
[tex]\sqrt{2} *\sqrt{36}[/tex]
[tex]\sqrt{2}[/tex] * 6
6[tex]\sqrt{2}[/tex]
It's irrational. [tex]\sqrt{2}[/tex] can not be written as a ratio.
2.
rational
a. -9
3.0
[tex]\frac{2}{5}[/tex]
2.4222... 2/90 = .22222.... 36/90 = .4 180/90 = 2
2+36+180 = 218/90 which is a ratio, so it's rational
irrational
b. [tex]\sqrt{8} = 2\sqrt{2}[/tex]
[tex]\pi[/tex]
3.
6.51326.... and [tex]\sqrt{39}[/tex]
The [tex]\sqrt{39}[/tex] = 6.2445
Comparing to the 6.51326, it has a difference of 0.268262. Thus, 6.51326 is greater than square root of 39.
(r/s)(3) = ?
please help.
Answer:
[tex]\frac{3r}{s}[/tex]
Answer:
It’s 2
Step-by-step explanation:
(-2)+1 can someone help me
Answer:
-1
Step-by-step explanation:
When you add a positive num to a negative number the negative number goes in the direction towards zero.
hope this helps you:)
Fill in the missing steps and justifications used to solve the given equation.
In Left BOX
6x-7 + 7 = 12+ 7x = 19/6in Right Box
Simplification Addition property of equationWhat are the Properties of the equation?Equilibrium, reflexivity, symmetry, transitivity, and the properties of operations are all solved by equations' properties. These properties hold true in propositional language as well as in algebra and arithmetic.
Hence, Here the solution is a step toward solving the given equation by using simplification.
Learn more about the properties of the equation here:
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Evaluate 3z when z=9.
Answer:
27
Step-by-step explanation:
Replace the variable (z) with 9
3(9) or 3 × 9 = 27
Answer:
the answer is 27
plz give brainlist
hope this helped
What are the solution(s) of X2-4=0?
Answer:
-2 or 2
Step-by-step explanation:
So we have the equation:
[tex]x^2-4=0[/tex]
Add 4 to both sides:
[tex]x^2=4[/tex]
Take the square root of both sides:
[tex]x=\pm 2[/tex]
Therefore, our answers are -2 or 2.
And we're done :)