Answer:
22
Step-by-step explanation:
222
The value of k in the given functions is; 24
What is the value of the function to the tangent?
We are given the functions;
g(x) = 4x + k as a tangent to f(x) = -x² +8x +20
For f(x) = -x² +8x +20
=> f'(x) = -2x + 8
Thus, slope of tangent at ( x , y) = -2x + 8
For g(x) = 4x + k
g'(x) = 4.
Thus, slope is 4
Therefore;
-2x + 8 = 4
-2x = -4
x = 2
Putting 2 for x in f(x) gives;
f(2) = -2² + 8(2) + 20
f(2) = 32
Thus, it is at (2 , 32)
Thus, (2 , 32) lies on g(x) = 4x + k
4(2) + k = 32
k = 32 - 8
k = 24
Read more about slope of tangent at; https://brainly.com/question/6353432
Please answer ( 8th grade math )
A 17 ft ladder leans against the side of a house. The top of the ladder is 14ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
.82 or 80 degrees rounded
Step-by-step explanation:
you can use SOH-CAH-TOA meaning sin = opposite/hypotenuse, so 14/17 = .82.
A sapling that started out 13.63 inches tall grew 2.41 inches per year. How tall was the sapling when it was 14 years old?
Answer:
47.37 Inches
Step-by-step explanation:
We start by assuming that we're at zero years when the tree is at 13.63 inches. We then ignore that height, and look at the rate of growth, which is 2.41 in / year.
The question asks how tall the tree is when it's 14 years old, so we multiply 2.41 inches / year by 14 years to get 33.74 inches.
The final step is to add that 33.74 onto the original 13.63 to get a new total of 47.37 inches when the sapling is 14 years old.
I need help please and can you also explain how you got the answer
I will give the crown, no trolls, no links please
A3 Math gr6 20-21 Form O Online 21 of 34Item s Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expression. Write a second algebraic expression that is different from, but equivalent to, your first expression.
Answer: See explanation
Step-by-step explanation:
We are informed that we should write a equation that represents the expression "Ali writes the expression "half of the sum of $9 and a number.".
Let the number be represented by x. The first equation based on the information given will be:
= 1/2(9 + x)
The second equation will be:
= (9 + x)/2
= 4.5 + 0.5x
i need help pleaseeee
Answer:
line e
Step-by-step explanation:
the y-axis is vertical and tht is the only vertical line on there
Answer:
Line e
Step-by-step explanation:
Line e passes through point h and is parallel to the y axis.
When two lines are parallel, that means that both lines move in the same direction and never meet.
HELP PLEASE I GIVE POINTS
Answer:
∡ a = 80°
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
a + 30 + 70 = 180
a + 100 = 180
a = 80
Answer:
80 Degrees
Step-by-step explanation:
A triangle equals 180 degrees when all sides are added together, so here we need to first add the angles of the ones we have available.
30 + 70 = 100
Now, we subtract to find out how much more we need...
180 - 100 = 80
4
Nora draws a figure on a piece of paper
as shown.
8 cm
7 cm
What is the area of her figure? Use 3.14
for
A 53.12 cm?
© 106.24 cm
B) 78.24 cm?
128.48 cm2
Need answer ASAP
The answer is 78.24cm^2
I need this Asap
the question below
Answer:
[tex]5x^{4}[/tex]
Step-by-step explanation:
lmk if you need an explanation :)
What is the value of 1-121?
A. -12
B.
-12
O
C.
12
OD. 0.12
O
E. 12.
Answer:
-120
Step-by-step explanation:
1-121 =
121 - 1 = 120
It becomes a negative because 1 is less than 121
A store has a T.V. on sale for 689.99 with a 25% off tag. There is also a storewide savings of an additional 25% off of the sale price.
What is the final price of the T.V.?
Answer:
i think
it should be the price 2000
please mark me as abrainlist
over the past ten years the population in a small city decreased by 12% resulting in a current population of 105,000 people what's the population of the city ten years ago
Answer:
119,318
Step-by-step explanation:
5.
I DON'T
The rate is given as a percent (%). Before using it in the
SUFFER FROM simple interest formula, you must first convert it to a
INSANITY.
I ENJOY
EVERY
MINUTE OF IT
I a) fraction
b) decimal
c) ratio
. d) dollar amount
Gail runs a taxi.
Her running costs are £95 per day.
She charges £1.40 per mile travelled.
On Tuesday she carried passengers for a total of 50 miles.
What was her total loss?
Answer:
Her total loss was £25
Step-by-step explanation:
Here, we want to get the value of total loss
What we have to do here is to subtract the amount made from the running cost
From the question, we have the amount made as;
£1.40 * 50 = £70
So we have the loss as,
70-95 = -£25
Answer:
34
Step-by-step explanation:
i swear it is 34
In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first 9 terms?
a .99
b. 1022
c. 1533
d. 765
Step-by-step explanation:
99 is the answer........
The sum of the first 9 terms of the given GP series will be 1533 thus option (c ) is correct.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Let's say the first term of the given GP is a and the common ratio is r.
a = 3 and r = 2
The Sum of n term is given as,
S = a([tex]r^{n}[/tex] - 1) / (r - 1)
S₉ = [3(2⁹ - 1)/(2 - 1)]
S₉ = 1533
Hence "The sum of the first 9 terms of the given GP series will be 1533".
For more information about the geometrical progression,
brainly.com/question/4853032
#SPJ2
Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is
[tex]P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}[/tex]
Please help
Question 2
If 2x2 + 6x = 36, what are the possible values of x?
A. -12 and 3
B. -6 and 3
C. -3 and 6
D. -3 and 12
Answer:
B. -6 and 3
Step-by-step explanation:
2x^2+6x-36=0
(x+6)(x-3)=0
Solve x+6=0 x-3=0
(Zoom in to see the problem) Please help. I gotta turn this in in 2 hours it’s 5:43 am right now and I can’t figure this out
Find the area of this hexagon
pls help I only need help with family 1
a quadrilateral with opposite sides both parallel and congruent.
12/04 12021
Homework
Ato bought an item for GH¢ 1200 and
sold it for GH¢ 1400.00 find his.
Profit
Answer:
GH¢200.00
Step-by-step explanation:
GH¢1400-GH¢1200
GH¢200.00
HELP FAST
find the value of x.
Answer:
81=6x+3(vertically opposite angle are equal)
81-3=6x
78=6x
x=13°
hope it helps.
The function f(x) = 300(1 − 0.05)x models a population of sharks after x years. What will the population be in 7 years?
Answer:
When you round the answer it's 210 because for population you round it
Step-by-step explanation:
Answer:
200 , got it correct on test !
Step-by-step explanation:
Willie runs 9 yards every five seconds. How many feet does Willie run in 15 seconds?
Answer:
81
Step-by-step explanation:
9 Yards = 27 Feet
9 Yards are ran every 5 seconds
9 x 3 = 27
27 Yards will be ran in 15 Seconds
Convert 27 Yards into Feet.
27 Yards = 81 Feet
Answer:
27
Step-by-step explanation:
I did the butterfly method
9/5 × x/15
I got 135 then divide by 5 which gives you 27
7th grade math help me pleaseeeeeee
33.20-3.50=29.70
29.70/6=4.95
It would cost Kurt $4.95 for one pair of socks.
Hope this helps, Cute PfP btw
A runner ran 20 miles in 150 minutes.
If she runs at the same speed,
a. How long would it take her to run 6 miles? ___minuets
b. How far could she run in 15 minutes?
___miles
C. How fast is she running in miles per hour?
miles per hour___
d. What is her pace in minutes per mile?
minutes per mile___
Answer:
a) 45 minutes
b) 2 miles
c) 8 miles per hour
d) 7.5 minutes per mile
Step-by-step explanation:
a) (150/20) x 6 = 45 minutes
b) (20/150)(15) = 2 miles
c) (20/150)(60) = 8 miles per hour
d) 150/20 = 7.5 minutes per mile
Answer:
Use ratios and cross multiplication to solve this
20 miles ⇔ 150 minutesa.
20 miles ⇔ 150 minutes6 miles ⇔ x minutes20x = 150*6x = 900/20x = 45 minutesb.
6 miles ⇔ 45 minutesx miles ⇔ 15 minutesx = 6*15/45x = 2 milesc.
2 miles ⇔ 15 minutes x miles ⇔ 1 hour = 60 minx = 2*4 = 8 miles per hourd.
2 miles ⇔ 15 minutes 1 mile ⇔ x minutesx = 15/2 = 7.5 minutes per mileWhich is the answer. A B C D?
I believe the answer is D
The rectangle below has an area of x^2-7x+10x 2 −7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters.
Find RT please and thank you.
RQ × RP = RS × RT
9 × ( 9 + 13 ) = 11 × RT
9 × 22 = 11 × RT
Divide sides by 11
9 × 22 / 11 = 11 × RT / 11
Simplification
9 × 2 = RT
RT = 18
Answer: RT=18
Step-by-step explanation: I’m going to be using this formula: RQ•RP=RS•RT
9•22=198
ST=7
11•18=198
Therefore RT=18
