Ffind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.
y=8 âx,(1,8)
Answer:
y = 4x + 4
Step-by-step explanation:
given :
y = 8 [tex]\sqrt{x}[/tex] , (1,8)
The equation for the tangent to the curve at the given point
y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]
next calculate the slope of the tangent (m) = y' at x = 1 = 4
hence the equation of the tangent is
y - y' = m( x - x1 )
y - 8 = 4 ( x - 1 )
y = 4x + 4
attached below is the sketch of the curve and the tangent together
i need help with this
solve equation for Y. 23=5x-2y
Answer:
y=5/2x-23/2 or y=2.5x-11.5
Step-by-step explanation:
First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.
a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet
Answer:
1,232 ft/min (feet per minute)
Step-by-step explanation:
14 miles = 73,920 feet
1 hour = 60 minutes
73, 920 / 60 = 1,232 feet/minute
Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% compounded monthly?
a. They are the same.
b. The rate of 7% compounded quarterly is better.
c. The rate of 6.85% compounded monthly is better.
Answer:
The correct answer is B. The rate of 7% compounded quarterly is better.
Step-by-step explanation:
In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:
X = 7000 x (1 + 0.7 / 3) 4x3
X = 9,232.16
Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.
In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:
X = 7000 x (1 + 0.685 / 12) 4x12
X = 9,199.33
Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.
Convert: 7 pt 1 c = [] c
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]
Therefore, the answer is 4x² + 12x + 8.
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.
Answer:
[tex]Probability = \frac{45}{98}[/tex]
Step-by-step explanation:
Given
Represent travel guide with T and Fictions with F
[tex]T = 5[/tex]
[tex]F = 9[/tex]
Required
Determine the probability that one of both was selected
This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)
The probability is is calculated as thus:
[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]
In probability, the above formula can be translated to
[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]
[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]
[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]
[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]
[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]
[tex]Probability = \frac{90}{196}[/tex]
[tex]Probability = \frac{45}{98}[/tex]
2.2.23 : Question Help A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1030 lb. How many boxes of books can the delivery person bring up at one time?
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Answer:
21
Step-by-step explanation:
1030-160=870870/40=21.75you round downthe answer is 21how many 1/4 cup servings are there in 3/8 cup peanut butter?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 i think
Step-by-step explanation:
1/4:2/8 so it would be 1/4 and 1/8 or 1.5
Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help
Answers:
1. 750
2. 750 + 5*20 = 850
Use the ten blocks to draw a quick picture to solve the following division problem: 165/11.
Step-by-step explanation:
[tex]\begin{array}{c|c c|c} 11 & 165 & & 15 \\ \cline {2-3} & 11 & & \\ & & 55 & \\ \cline {2-3}& & 55 & \\ & & 0& \end {array}[/tex]
6 / 3/5 ITS FOR A 20 PIONT
Answer:
10
Step-by-step explanation:
I'm guessing you meant this, but tell me if I'm wrong and I'll fix it
6 / (3/5)
6 * 5/3
30/3
=10
Hope it helped!
Answer:
thanks
Step-by-step explanation:
Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words
Answer:
Sven would type 2280 words every 40 minutes.
Step-by-step explanation:
Multiply 57 by 40 and that should get you 2280.
Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?
Answer:
110.112
Step-by-step explanation:
Use the substitution method to solve the system of equations.
2x + 3y = 12
y = x-1
A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)
Answer:
(3,2)
Step-by-step explanation:
The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
How to solve the equations by substitution method?We are given the system of equations:
2x + 3y = 12
y = x-1
We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:
2x + 3(x-1) = 12
Simplifying the equation, we get:
2x + 3x - 3 = 12
5x = 15
x = 3
Now, we can substitute the value of x in either of the two equations to find the value of y:
y = x-1
y = 3-1
y = 2
Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
To know more about substitution method follow
https://brainly.com/question/22340165
#SPJ7
What is the standard form of this number?
(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =
Answer:
0.851
Step-by-step explanation:
What is the slope of the line that passes through the points (3,5) and (4,8)?
Answer:
1,3
Step-by-step explanation:
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is about a) 0.35 b) 0.40 c) 0.65 d) 0.27
Answer:
The probability is [tex]P( \= X > 268 ) =0.35376[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 266[/tex]
The standard deviation is [tex]\sigma = 16[/tex]
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]
=> [tex]\sigma_{\= x} = 5.33[/tex]
Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as
[tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma_{\= x} } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.3752 is
P (Z > 0.3752) = 0.35376
So
[tex]P( \= X > 268 ) =0.35376[/tex]
A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.
Answer:
C
Step-by-step explanation:
i lied :)
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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels
Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.
4n-(7-6n)
Helppp plz
Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Answer:
the first one is correct
Step-by-step explanation:
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
Can someone help me with this
Answer:
1. isosceles 2. Scalene 3. Equilateral 4. Equilateral
Step-by-step explanation:
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.
Answer:
5 years
Step-by-step explanation:
Alr. The equation is:
x= how long the rose bush took to grow
8 1/4=2+1 1/4x
6 1/4=1 1/4x
5=x