Answer:
12 ( 3z + 5 )
Step-by-step explanation:
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately how many will fall within one standard deviation of the mean
Answer:
Step-by-step explanation:
Empirical Rule establishes that 68% of the population will fall in the interval μ₀ ± σ Then
348*0,68 = 237
237 students will be between ( 100-15 ; 100+15) That is
I = ( 85 ; 115 )
Name another ordered pair that is on the graph
of the equation represented by the table.
HELP MEH ASAP PLS PLZ PLZ
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
Please help with this it’s due today
Answer:
10/8
Step-by-step explanation:
2*5=10
1*8=8
you're welcome
In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.
Which type of sequence does the situation represent?
A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
to determine the situation:
The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Read more about geometric sequence at:
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Please help!
Consider matrices A, B, and C.
Which matrix represents (A-B)-C?
Answer:
B.) I cant insert a 2x2 matric but the [5 7
7 4] matrix is correct
Step-by-step explanation:
I got a 5/5 on the test so I know that B is the correct answer
The matrix which represents (A-B)-C will be the matrix in option (B).
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
In another word, a matrix is a set of variables that are arranged in such a good way that we can create algebraic equation from that.
In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.
Given that the matrix
A - B = [first raw 3 ,1 in second raw 2 ,0]
Now (A - B) - C = [ first raw 5 ,7 in second raw 7 , 4]
Hence, the correct option is (B).
For more about matrices
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11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.
Answer:
16 : 30, 16 to 30, 16/30
Step-by-step explanation:
Answer:
The ratio of boys to girls in the simplest form is 7:8
Step-by-step explanation:
There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.
Which characteristic is related to kenitic energy but not potential energy? A) An objects height B) An objects speed C) An objects shape D) An objects mass
Answer:
b. an objects speed
Step-by-step explanation:
because the kinetic energy is energy that is produce by movement but potential is not produce by movement
A person places $37700 in an investment account earning an annual rate of 5%,
compounded continuously. Using the formula V = Peșt, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 16 years.
Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents
A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price?
Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation
Answer:
no, it is not free. $31.08 is the sale price
Step-by-step explanation:
1 - .4 = .6 –––––> paying 60% of original price with first discount
129.50 • .6 = $77.70
1 - .6 = .4 ––––––> paying 40% of the discounted price
77.70 • .4 = $31.08 is the sale price
Which could be the function graphed below?
f(x)= x-2
f(x)= VX-3+1
f(x) = 2x+4
f(x)= x + 1 + 8
Answer:
f(x) = √x - 2
Step-by-step explanation:
that graph is what the graph of a square root looks like translated 2 units down
since the translation is vertical, the -2 must be outside the square root
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more ?
Rewrite 1 1/4 as an improper fraction:
1 1/4 = 5/4 gallons.
Rewrite both fractions with a common denominator:
2/3 = 8/12
5/4 = 15/12
Subtract the amount Ethan sold from total:
15/12 - 8/12 = 7/12
Kayla sold 7/12
This means Ethan sold more, because 8/12 is more than 7/12
Factor
4y(3x+2)-2(3x+2)
Answer:
[tex]2(3x+2)(2y-1)[/tex]
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
3. Margo has drawn a parallelogram and is giving you clues about it for a guessing game. If her
first clue is that the parallelogram has 4 congruent sides but does not have congruent
diagonals, which parallelogram could Margo have drawn?
A Trapezoid
B. Rhombus
C Rectangle
D. Square
Answer:
B) Rhombus
Step-by-step explanation:
4 congruent sides is either a square or a rhombus
a square has congruent diagonals but a rhombus does not
The parallelogram is a Rhombus Margo has drawn.
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
How to solve?
As we know,
The diagonal lengths of a square are of the same measure. The diagonal lengths of a rhombus are of different measures.
So, the figure will be a Rhombus.
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If ZFRO = 60 and RFO = 86 Find the measure of 2 FOG
R Help pleaseee
Answer:
149°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
<FRO + <RFO = <FOG
60° + 86 = 146
In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?
A. $120
B. $1200
C. $600
D. $5400
Answer:
5400
Step-by-step explanation:
2400+3000
8x = 63.2
How do I solve for x
Answer:
7.9
Step-by-step explanation:
8x=63.2
Simply divide 63.2 by 8 to get an answer of 7.9 :)
find the value of x please help
Will give brainliest
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
For f(x) =8x+11, find f(x) when x = 4.
Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
What is this fraction shown above?
the base of a triangular pyramid has a base of 3 inches and a height of 2 inches the height of the pyramid is 6 inches find the volume
Answer:
6
Step-by-step explanation:
3 x 2 =6
6 / 2 =3
3 x 6 = 18
18 / 3 = 6
So your answer is 6
Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.
Answer:
There is no problem to factor.
Step-by-step explanation:
What is the equivalent expression of . (1/4)x - (1/2)
Answer:
1/4x + (-1/2) hope this helped!
Step-by-step explanation:
What is the value of y = 7 – 2c when x =4?
When x = 4, y =?
Express 90 as a fraction of 95.
Give your answer in its simplest form
Answer:
18/19
Step-by-step explanation:
90/95
Simplify
18/19
Eliane bought 3/4 lb. of pears for $2.25 per pound. What did Eliane spend on pears per pound?
Answer:
$3 per pound
Step-by-step explanation:
2.25 / .75 = x / 1
.75x = 2.25
x = 3
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?
Answer:
25%
Step-by-step explanation:
400 divided by 100 = .25 which is 25%
A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.
Answer: 10
Step-by-st