If f(x) = 24x + 24, find the instantaneous rate of change of f(x) at x = 6
Answers
Answer:
168
Step-by-step explanation:
You'd plug 6 in for x
f(x) = 24x + 24
f(6) = 24(6) + 24
f(6) = 144 + 24
f(6) = 168
Related Questions
Determine the value of x
2.12 units
2.02 units
12.38 units
0.49 units
Answers
Answer:
2.02
Step-by-step explanation:
Hello, I took the quiz. The correct answer is 2.02
a person borrowed $7,500 at 12% nominal interest compounded quarterly. What is the total amount to be paid at the end of 10 -year period? a. $697,882.5 b. $3,578 c. $2.299.5 d. $24,465
Answers
The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.
The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:
Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years
In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.
Plugging in these values into the formula, we get:
Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465
Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.
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what is the value of z?
420
60
440
240
Answers
What is the quotient?
-3/5 and -1/4
Answers
Answer:
2/1
Step-by-step explanation:
This is simple. Just do 3/5 - 1/4
3-1 = 2
5 - 4 = 1
So, the answer is 2/1
There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?
Answers
Answer:
550x100
Step-by-step explanation:
First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.
what is the counter example for 'if you do not eat beef then you're not vegetarian'
Answers
Answer: If you're not vegetarian, then you do not eat beef.
Step-by-step explanation:
Dismiss the 'if' and 'then':
- you do not eat beef
- you're not vegetarian
Now, all you have to do is switch their places:
- you're not vegetarian
- you do not eat beef
Now add the 'if' and 'then' back:
If you're not vegetarian, then you do not eat beef.
need help asap. low geometry grade
Answers
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,193 with a standard deviation of 598. Of the 35 two-year colleges surveyed, the mean enrollment was 4,305 with a standard deviation of 572. Test the student's claim at the 0.01 significance level.
Answers
At a significance level of 0.01, we can confidently state that the student's claim is true.
The hypothesis in this question can be stated as follows:
Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)
Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)
The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.
To calculate the test statistic, we can use the formula:
z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2² / n2))
Substituting the given values:
z = ((6193 - 4305) - (0)) / √((598² / 35) + (572² / 35))
z = 10.33
Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.
The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.
In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.
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A computer store buys a computer system at a cost of $463. 20 The selling price was first at 772 but then the store advertised a 40% markdown on the system. Answer parts a and b
Answers
In comparison to the current selling price of $463.20, the cost to members with the additional 40% markdown is $185.25.
Given, a computer shop spends $463.2 to purchase a computer system.
Additionally, the selling price was initially set at $772, but the retailer later announced a 40% reduction online.
Find the current selling price here:
existing selling price;
employ a formula for percentages,
= $772- (40% × $772)
= $772 - (0.4× $772)
= $772 - $308.80
= $463.20
To determine the pricing for club members at a 40% extra discount:
employ a formula for percentages,
= $463.20 - (40% × $463.20)
= $463.20 - (0.4 × $463.20)
= $463.20 - $46.32
= $185.25
As a result, the members will pay $185.25 in addition to the current selling price of $463.20.
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The graph of a linear function is shown.
Which word describes the slope of the line
Answers
Reason: A positive slope goes up, a negative slip goes down, and undefined slope goes up and down vertically, and a slope of zero goes from side to side horizontally.
[8 pts] An online banking password contains 6 characters (a) [4 pts] How many different passwords are possible if each character may be any upper-case letters, lower-case letters, or digits
Answers
The total number of different passwords possible is:
\(62 \times 62 \times62 \times62 \times62 \times62 = 62^6 = 56,800,235,584\)
To determine the number of different passwords possible for an online banking password with 6 characters, where each character may be any upper-case letter, lower-case letter, or digit, we can use the concept of permutations.
In this case, we have three possible choices for each character: 26 upper-case letters (A-Z), 26 lower-case letters (a-z), and 10 digits (0-9).
Since each character can be chosen independently, we can multiply the number of choices for each character to calculate the total number of possible passwords.
The number of choices for each character is 26 + 26 + 10 = 62.
Therefore, the total number of different passwords possible is:
\(62 \times 62 \times62 \times62 \times62 \times62 = 62^6 = 56,800,235,584\)
Hence, there are 56,800,235,584 different passwords possible for an online banking password with 6 characters, where each character may be any upper-case letter, lower-case letter, or digit.
It's important to note that this calculation assumes that the password allows repetition of characters and does not have any additional constraints, such as requiring a certain pattern or disallowing certain combinations.
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A rectangle at 0,0 and 3,0 and 0,6 what is the area of the rectangle
Answers
Answer:
is the amount of space it occupied 18
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.
Answers
Answer:
11(t+r)+35
Step-by-step explanation:
they make 11 dollars an hour so you have to multiply 11 by t hour an r hours. then only one of them worked overtime so you add 35.
Answer:
See image
Step-by-step explanation:
Plato
Q1. Three types of coffee beans, A, B and C, are blended in the ratio 3: 5:7 to make a bag of coffee
powder. Given that the bag contains 45 kg of coffee powder, find the mass coffee beans A in the
mixture?
Answers
Answer:
Mass of coffee A beans = 9 kg
Step-by-step explanation:
Coffee A = 3
Coffee B = 5
Coffee C = 7
A : B : C = 3 : 5 : 7
Total ratio = 15
Total mass of the bag = 45 kg
find the mass coffee beans A in the mixture?
Mass of coffee A beans = ratio of coffee A / total ratio × total mass of the bag
= 3/15 × 45
= 1/5 × 45
= (1 * 45)/5
= 45/5
= 9 kg
Mass of coffee A beans = 9 kg
Mass of coffee B beans = ratio of coffee B / total ratio × total mass of the bag
= 5/15 × 45
= 1/3 × 45
= 45/3
= 15 kg
Mass of coffee C beans = ratio of coffee C / total ratio × total mass of the bag
= 7/15 × 45
= (7*45)/15
= 315/15
= 21 kg
17.3% of 45.94km Give your answer rounded to 2DP
Answers
Answer:
7.95km
Step-by-step explanation:
0.173 x 45.94 = 7.947
rounded is 7.95
the sscp exam consists of ____ multiple-choice questions, and must be completed within three hours.
Answers
Answer:
125 questions
Answer:
125 questions
Step-by-step explanation:
Read the questions below:
Answers
Answer:
where is it
Step-by-step explanation:
what is the value of x in the situation-2/9x=2/5?
Answers
Answer:
-9/5
Step-by-step explanation:
x = 2/5
_______
-2/9
x = -9/5
Evaluate the expression 52 × (7.2 + 16) − 8.
Answers
The evaluation of the expression is 1198.4.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Expression; 52 × (7.2 + 16) − 8
Now,
=52*23.2-8
=1206.4-8
=1198.4
Therefore, the algebra will give 1198.4.
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U
(3x -9)
30°
240
w
What is the value of x?
1.
21
2.
39
3
45
4
126
Answers
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
If XY = 48. XZ = 36, JQ = 7, and the radius of the circumscribed circle of AXYZ is 25, find QK.
Answers
For the circle inscribed in the triangle the value for QK is 17.34.
What is a circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
From the given figure it can be seen that XZ is bisected.
XZ = XK + KZ
Also XK = KZ
The value of XZ is 36.
So, XK = XZ/2
XK = 36/2
XK = 18
Q is the circumcentre because Q is the point of intersection of perpendicular bisectors of sides of triangle.
So, this gives -
Circumradius = QX = QY = QZ.
And QX = 25.
Use the Pythagoras theorem for ΔQXK -
QX² = XK² + QK²
25² = 18² + QK²
QK² = 25² - 18²
QK² = 625 - 324
QK = √301
QK = √301
QK = 17.34
Therefore, the value is obtained as 17.34.
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4x-3y=-29, 4x-3y=-30
Answers
Answer:
Is this slope or do you want me to solve x and y
Step-by-step explanation:
A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster than the other , and if they meet 2 hours later , how fast is each one walking?
Answers
The speed of first hiker is 4 mph and speed of second hiker is 5 mph.
Speed of hiker:Let the speed of first hiker is x mph.
Since If one walks at a rate that is 1 mph faster than the other .
so taht speed of second hiker = (x + 1) mph
It is given that, pair of hikers are 18 miles apart and they meet 2 hours later .So that,
2x + 2(x + 1) = 18
2x + 1 = 9
2x = 9 - 1 = 8
x = 8/2 = 4
Hence, the speed of first hiker is 4 mph and speed of second hiker is 5 mph.
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If Donald can run 1/3 of a mile in one minute, how much
will he run in one day?
Answers
60minutes *24 = 1440 minutes per day
1440*1/3 = 480 miles
Out of 2,000 city residents selected at random, 310 residents were born in the 1980s. If the city has 600.000 residents, which of these is MOST LIKELY the number of city residents born in the 1980s?
A 1,936
B 6,200
C 93,000
D 620,000
Answers
Answer:
The city residents born in 1980 are prob 93,000 :3
Step-by-step explanation:
:3
helpppppppppppppppppppppppppp asapppppppppppppppppppppppppppppppp
Answers
Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(−1, 0), (1, 0), (3, 0), (3, 4)}
{(1, 0), (2, 0), (3, 3), (3, 4)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
PLEASE HELP ILL MAKE BRAINLIEST!!!!!
Answers
Answer:
The first one because every x value can only have one y value
Step-by-step explanation:
The set of ordered pairs that represents y as a function of x are; {(0, 0), (1, 1), (2, 3), (3, 3)}
We must be aware that, dependent variable, y can only be a function of x if;
For every value of x, there must only be one value of y.
In essence,
For case 1:
y is a function of x, because for every value of x, there's only one value of y.For Case 2:
y is not a function of x, because there's two values of y for a value of x.For Case 3:
y is not a function of x, because there's two values of y for a value of x.For Case 4:
y is not a function of x, because there's two values of y for a value of x.Read more:
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A function is defined by f (x) = 6 x + 1.5. What is f(2.5)?
Answers
Step-by-step explanation:
6×(2.5)+1.5
15+1.5
16.5
or
f(x)= 6x+1.5
f(2.5)= 6(2.5)+15
f(2.5)=16.5
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27 points if someone gets it right.
A bag has 4 oranges, 1 red rock, 2 green rocks, 6 white rock, and 5 black rocks. You randomly pull a rock out of the bag, put it back, then pull another one.
What is the probability of getting a white then a white? Write your answer as a fraction
Answers
Answer: 1/6
Step-by-step explanation:
Rewrite sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products.
Answers
cos^2(x) - cos^4(x)
sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).
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