We can try to find the funtion by the given data or replace in the answers and see what is the answer, we are going to do both.
Usually when we try to find a function we try to find patterns in the data, in this case in the energy
We have that 4 is send to 66, now we can try to find a relation between 4 and 66 but first we see all the data 5 is send to 77 and 6 to 88. With this we can see that the difference between the energy in 4 and 5 is 11 that is the same difference betwen the energy in 5 and 6, so if pass one more minute the energy increase 11. So we have that f(6) = f(4) + 22 and f(5) = f(4) +11.
With this we can find the initial charge. we now that if pass 4 minutes the energy is going to increase 11 * 4 = 44 if we take the initial point at the minute 4 the funtion is going to be f(0) + 44, this is f(4) = f(0) + 44 and we know the value of f(4) that is 66, now f(0) = 66 - 44 = 22 with this we have that the function is f(x) = 11*x + 22 .
We are going to replace x by 4 in every fuction to verify the answer
a) f(4) = -11/10 * 4 + 22 = -4.4 + 22 = 17.6 so is not 66, this is not the function
b) f(4) = 11/10 * 4 + 22 = 4.4 + 22 = 26.4 so is not 66, this is not the function
c) f(4) = 11*4 + 22 = 44 +22 = 66 this could be the function
d) f(4) = 11*4 + 66 = 44 + 66 = 110 so is not 66, this is not the function
Then the answer is c) f(x) = 11*x + 22
Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
On Friday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
There were 130 hamburgers sold on Friday
Step-by-step explanation:
Assume that the number of hamburgers sold is x
∵ The number hamburgers sold = x
∵ The number of cheeseburgers sold was two times the number of
hamburgers sold
∴ The number of cheeseburgers sold = 2x
∵ On Friday, the shop sold a combined total of 390 hamburgers and
cheeseburgers
→ Add x and 2x, then equate the sum by 390
∴ x + 2x = 390
→ Add the like terms
∴ 3x = 390
→ Divide both sides by 3
∵ \(\frac{3x}{3}\) = \(\frac{390}{3}\)
∴ x = 130
∵ x represents the number of hamburgers
∴ There were 130 hamburgers sold on Friday
Kim is earning money for a trip. She has saved and she earns per hour babysitting. The total amount of money earned (y) after (x) number of hours worked is given by the equation . How many hours will she need to work in order to earn for her trip?
Answer:
what is the amount of money Kim earn per hour of babysitting? Also I need to know how much trip cost to find out how many hours she need to work.
Step-by-step explanation:
how to find the circumference with a diameter?
Answer:
Multiply the diameter by pie which 3.14
Step-by-step explanation:
if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.
The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.
POA is a right angle so it is 90 degrees.
POC +COA = 90 .....(1)
Also, POC is 3 times as large as COA.
Let's take COA, "x"
POC = 3x
Substituting the values in equation (1) as follows:
x + 3x = 90
4x = 90
x= 22.5
Therefore,
COA = 22.5°
POC = 22.5*3 = 67.5°
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What is the median of the following Systolic Blood Pressure in mmHg: 121, 110, 114, 100 160, 130 130?
Answer:
121
Step-by-step explanation:
firstly you arrange the numbers in ascending order the number in the middle is considered to be the median
Jenny brought an antique vase for $ 120 and advertises to sell it at a profit of 35% calculate the selling cost
35% of 120 is :
120 x 0.35 = 42 $ profit
selling cost 120+42=162$
use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. integral 48 0 sin Vx dx, n=4
By using the midpoint rule, the value of n to approximate the integral is 9.24.
The integral of a function is a measure of the total area under the curve of the function over a given interval. The Midpoint Rule is a method used to approximate the value of an integral by dividing the interval into smaller subintervals, finding the midpoint of each subinterval, and using the height of the function at the midpoint to estimate the area of the subinterval.
In this specific problem, we are asked to approximate the integral of the function f(x) = sin root x from x = 0 to x = 48, using the Midpoint Rule with n = 4 subintervals. To do this, we divide the interval [0,48] into 4 equal subintervals of width
=> (48-0)/4 = 12.
The midpoint of each subinterval is calculated as follows:
1st subinterval: (0 + 12)/2 = 6
2nd subinterval: (12 + 24)/2 = 18
3rd subinterval: (24 + 36)/2 = 30
4th subinterval: (36 + 48)/2 = 42
Next, we find the height of the function f(x) = sin root x at each of these midpoints.
1st subinterval: sin root 6 = 0.77
2nd subinterval: sin root 18 = 0.97
3rd subinterval: sin root 30 = 0.87
4th subinterval: sin root 42 = 0.71
Finally, we multiply each height by the width of the subinterval to find the estimated area of each subinterval, and add up these areas to obtain the final estimate of the integral:
(0.77 * 12) + (0.97 * 12) + (0.87 * 12) + (0.71 * 12) = 9.24
So, our final estimate of the integral of f(x) = sin root x from x = 0 to x = 48 using the Midpoint Rule with n = 4 is 9.24. Rounding to 4 decimal places, our answer is 9.2400.
Complete Question:
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.
∫0 to 48 sin √x dx, n=4
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Solve the absolute value inequality |-2z+30| ≤ 30
The answer of the above question is [0,30]
An absolute value inequality is one with an absolute value sign and a variable inside.
An important point to remember: | x |= {x if x ≥ 0 }
| x |= {x if x< 0}
taking the expression |-2z+30| ≤ 30
Write the equivalent compound inequality.
-30≤ -2z+30 ≤ 30
= -30-30 ≤ -2z ≤ 30-30
= -60≤ -2z ≤ 0
= -60/2 ≤ -z ≤ 0
= -30 ≤ -z ≤ 0
Solve the compound inequality.
= 0 ≥ z ≥ 30 (reversing of signs)
Hence, the solution using interval notation [0,30].The check is left to you.
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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
The Total mileage is "400" and the further solution can be defined as follows:
Let t become the time he spent commuting on the first day of his vacation.
It is then calculated as \(t + 2\).
\(\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\\)
It traveled \(40\times (3 + 2) + 20 = 40\times 5 + 20 = 200+20=220\) miles on its first day of operation.
The car traveled \(180\ miles\) on the second day, which was \(60 \ miles \times 3\).
So,
Total mileage= first day traveled + second day traveled \(= 220+ 180= 400 \miles\)
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function. (1 point)
A.The domain is all integers from 0 to 6 hours.
B. The domain is all even integers from 0 to 6 hours.
C. The domain is all real numbers from 0 to 6 hours.
D. The domain is all positive real numbers.
Answer:
C.
Step-by-step explanation: the domain is all even integers from 0 to 6 hours
Through (-1,-2), slope=-1
An equation of this line in slope-intercept form is y = x - 1.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.At data point (-1, -2) and a slope of -1, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-2) = -1(x - (-1))
y + 2 = x + 1
y = x + 1 - 2
y = x - 1
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Complete Question:
Write an equation of a line through point (-1, -2) with a slope of -1.
Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): 70, 80, 90. The average and the standard deviation of the data in the sample are 80 and 10. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000.
a. Null hypothesis.
b. alternative hypothesis.
c. test statistic.
d. acceptance region.
Answer:
H0 : μ = 60000
H1 : μ ≠ 60000
Test statistic = 3.464
Step-by-step explanation:
Given :
Sample mean salary, xbar = 80000
Sample standard deviation, s = 10000
Population mean salary , μ = 60000
Sample size, n = 3
Hypothesis :
H0 : μ = 60000
H1 : μ ≠ 60000
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (80000 - 60000) ÷ (10000/√(3))
T = 20000 / 5773.5026
T = 3.464
The Decison region :
If Tstatistic >Tcritical
Tcritical at 10%, df = 2 ; two - tailed = 2.9199
Tstatistic > Tcritical ; He
While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=__________mi/gal
The rental car is getting approximately 37.56 miles per gallon.
To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:
1 km/l ≈ 2.82475 mpg
Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:
13.3 km/l x 2.82475 mpg ≈ 37.56 mpg
So, your rental car is getting approximately 37.56 miles per gallon.
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The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
f(x)=x² +1
What is f(f(x))?
Step-by-step explanation:
Plug
\( {x}^{2} + 1\)
for x.
\(( {x}^{2} + 1) {}^{2} + 1\)
Note that
\((a + b) {}^{2} = 2ab\)
So we have
\( {x}^{4} + 2 {x}^{2} + 2\)
Challenge time! Isn't time to give your brains a break? Its a fun challenge! EARN 20 POINTS NOW
Answer:
The answer is 64
Step-by-step explanation:
If you find this answer helpful pls mark it the brainliest answer
it's easy 64 the key is in the pic.
A company that prints Blue Books for exams makes a profit according to the number of books sold. Suppose that the Profit is
Answer:
The answer is not complete. I will explain the concept of profit to you.
Step-by-step explanation:
We can determine profit deducting direct costs (cost price) of commodities from sales (selling prices) of the commodities.
Profit = Selling Price - Cost Price
Example:
A trader buys some dresses for #2,500 in May and agrees to pay for it in three months’ time. He sells off all the dresses in August for #4,500. The profit for the month is #2,000.
The formula for percentage profit is \(\frac{profit * 100}{cost price}\)
The formula for gross profit is Revenue – Cost of Sold Items
Profit Margin = \(\frac{Total Income}{Net Sales}\) * 100
While Gross Profit Margin can be calculated as \(\frac{Gross Profit}{Net Sales}\) * 100
Any of these formulas can be used to calculate profit-related questions.
NO FILES!!!
HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY
The requried measure of the ARC(WVY) is 250°. Option C is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
We know that the tangent subtended to the circle from a common point then,
larger arc - smaller arc / 2 = angle between the tangent
10a - 4a -10 / 2 = 70
6a = 140 + 10
a = 150/6
a = 25
Now,
arc(WVY) = 10a = 10*25
= 250°
The requried, measure of the ARC(WVY) is 250°. Option C is correct.
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Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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5x-5?????????????????????
Answer:
-25
Step-by-step explanation:
five times five is twenty five and there's a minus sign so it becomes -25
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
can anyone find the value of x?
Answer:
88.16 units
Step-by-step explanation:
The line at the far left is also = x
For right triangles
Tan (angle ) = opposite leg / adjacent leg
for this triangle tan 10 = x / 500
rearrange to x = 500 tan 10° = 88.16 units
Answer please
Im not understanding
Answer:
it has to be ur mom
Step-by-step explanation:
Your mom is a phrase that's typically followed by a statement poking fun at someone's mom. This always involves hyperbolic statements revolving around a personal trait that she may or may not possess.
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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Fond the value of x.
Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.
5x-y=54 x=10 what is the answer
Answer:
Y = 4
Step-by-step explanation:
5x-y=54
50-y=54
circle y and subtract 50 from itself then subtract 50 from 54.
after subtracting you should have y=4
Suppose that the functions and g are defined for all real numbers x as follows.
f(x)=x+6
g(x) = 2x + 6
Write the expressions for (f-g)(x) and (fg)(x) and evaluate (f+g)(1).
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x + 6
g(x) = 2x + 6
(f - g)(x) = (x + 6) - (2x + 6)
= -x
(f . g)(x) = f(x) × g(x)
= (x + 6)(2x + 6)
= 2x² + 6x + 12x + 36
= 2x² + 18x + 36
(f + g)(x) = (x + 6) + (2x + 6)
= 3x + 12
(f + g)(1) = 3(1) + 12
= 15
Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 2 times as many dimes as nickels, and the value of the dimes is $1.05 more than the value of the nickels. How many nickels and dimes does Jamil have?
Answer:
7 nickels and 14 dimes
Step-by-step explanation:
In tricky word problems like this you have to translate the word problem to algebraic equations
Let number of nickels = N
Let number of dimes = D
2 times as many nickels as dimes is saying that
the nmber of dimes = twice the number of nickels
and translates to D = 2N (1)
Value of D dimes = 10D cents since each dime is 10 cents
Value of N nickels = 5N cents since each nickel is 5 cents
$1.05 = 105 cents
So,
Value of dimes is $1.05 more than value of nickels translates to :
10D - 5N = 105 (2)
Since we have D = 2N we can use this relation to substitute for the value of D in terms of N
10D - 5N ==> 10(2N) - 5N = 20N - 5N = 15N
From (2) we get
15N = 105
N = 105/15 = 7
So there are 7 nickels
D = 2N = 2 x 7 = 14
So there are 14 dimes
Hence there are 7 nickels and 14 dimes
Let's check and see if our answer is right by plugging this value into the second equation
10D - 5N = 10 x 14 - 5 x 7 = 140 - 35 = 105 cents =$1.05
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture