Answer:
y = (-1/4)x + 3
Step-by-step explanation:
to find the perpendicular slope you just find the reciprocal of 4 which is (-1/4)
then find the y-intercept making the line go through (-8, 5) so you do:
y = (-1/4)x + b
5 = (-1/4)(-8) + b
5 = 2 + b
-2 -2
3 = b
T'he dwarf sea horse swims at a rate of 53 feet per hour. Convert this speed to inches per minute.
Answer:
10.6
Step-by-step explanation:
divide the speed value by 5
Which of the following is the complete factorization of 18n +60 ?
a.78n
b.2(9n +30)
C.3(6n + 20)
d.6(3η + 10)
e.18(n + 3)
Answer:
answer is d
Step-by-step explanation:
18n can be factored in 60
6 times which would remand 3n+10
An object is launched at 20 m/s from a height of 65 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.912 + 20t + 65. What is the
object's maximum height?
Answer:
The maximum height is the y-value of the vertex.
h(t) = -4.9t² + 20t + 65
a=-4.9 b=20 c=65
h(2) = -4.9(2)² + 20(2) + 65
= -19.6 + 40 + 65
= 85.4
Step-by-step explanation:
f(x) = (x-1)^2 and g(x)= x+1, what is one intersection of the functions
Answer:
Suppose f(x) and g(x) are two functions that take a real number input, and output a real number. Then the intersection points of f(x) and g(x) are those numbers x for which f(x)=g(x) . Sometimes the ... Example 1: ... x+6=−x2x+6=02x=−6x=−3.
You play a where you draw one card from a standard deck of playing cards. If you pick a diamond, you win $10. If you pick a face card, which is not a diamond, you win $6. If you pick any other card, you lose $5. How much money do you expect to win?
Answer:
expected value = (13/52)(10) + (9/52)(8) + (30/52)(-6) = $.42
expected value is you win $.42, so you want to play
Step-by-step explanation:
What is -2/5×-1 1/4
Answer:
1/2
Step-by-step explanation:
1/2 divided by 17/10
Answer:
0.71428571428
Step-by-step explanation:
i did the problem and this is what i got
The perimeter of a rectangle is 85 ft. The length of the rectangle is two (x plus 16) and the width is 3x - 1. What is the length of the rectangle?
Answer:
The length of the rectangle is 27 ft.
Step-by-step explanation:
To determine the length of the rectangle, we will first determine the value of x.
From the question,
The length of the rectangle is 2x + 16
The width is 3x - 1
and the perimeter is 85 ft
From the formula for perimeter of a rectangle which is given by
P = 2(l+w)
Where P is the perimeter
l is the length
and w is the width
Then, we can then write that
85 = 2(2x+16 + 3x - 1)
85 = 2(5x + 15)
85 = 10x + 30
10x = 85 - 30
10x = 55
x = 55/10
x = 5.5 ft
Since the length of the rectangle is 2x+16, substitute the value of x
Therefore
l = 2x + 16
l = 2(5.5) + 16
l = 11 + 16
l = 27 ft
Hence, the length of the rectangle is 27 ft.
15% of $9 is $_________________.
Answer: $1.35
Step-by-step explanation:
Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 5.00 inches at the top and a height of 6.00 inches. At the instant when the water in the container is 4.00 inches deep, the surface level is falling at a rate of 0.7 in./sec. Find the rate at which water is being drained from the container.
The rate at which water is being drained from the container is;
dV/dt = 24.4 in³/s
I've attached an image showing this inverted cone with the corresponding letters to represent the height and radius.
We are given;
Radius of Cone; R = 5 inches
Height of cone; H = 6 inches
h = 4 inches
Height rate of change; dh/dt = 0.7 in/s
Looking at the image attached, we can use similar triangle property to derive the relationship;
r/R = h/H
Where r is the radius at the instant where dh/dt = 0.7 in/s
Thus;
r/5 = 4/6
r = (5 × 4)/6
r = 3.33 inches
Now, from r/R = h/H
We can write with initial values of cone and differentiate;
r/5 = h/6
6r = 5h
6(dr/dt) = 5(dh/dt)
Since dh/dt = 0.7 in/s
Thus;
dr/dt = (5/6) × 0.7
dr/dt = 0.5833
Volume of cone is given by;
V = ⅓πr²h
We can find the rate at which the rate at which water is being drained from the container using partial differentiation on the volume equation.
Thus;
dV/dt = ⅓π((2rh × dr/dt) + (r² × dh/dt))
Plugging in the relevant values, we have;
dV/dt = ⅓π((2 × 3.33 × 4 × 0.5833) + (3.33² × 0.7))
dV/dt = 24.4 in³/s
Read more about rate of change of cylinder volume at; https://brainly.com/question/7194993
(a)
Find the determinant D of the 3 X 3
D=|2 1 -1 |
|-1 2 -3|
|1 0 2 |
(b)
Use the determinant in D to find the values of x, y and z if Dx = 18, Dy = 27 and D2 = -36.
9414 1404 393
Answer:
D = 9(x, y, z) = (2, 3, -4)Step-by-step explanation:
A suitable calculator can compute the determinant for you. It is ...
D = 9
Then the values of x, y, z are ...
(x, y, z) = (Dx, Dy, Dz)/D = (18/8, 27/9, -36/9)
(x, y, z) = (2, 3, -4)
8 POINTS WILL BE GIVEN!!
Answer:
x=39 degrees
Step-by-step explanation:
Sophia has a lemon drink made by mixing 70ml of concentrate with 180ml of water. Tommy has a lemon drink made by mixing 90ml of concentrate with 270ml of water. Who has the strongest drink, sophia or Tommy. Show your working.
Answer: Tommy has More
Step-by-step explanation: just add and you hey who has the highest song trust me if not
Can you please do number 9???!! I’m giving out the brainly thingy
Answer:
16
Step-by-step explanation:
not sure i just multiplied and did the math thingy work
Answer:
63
Step-by-step explanation:
[tex](x^{3}-1)(4x+1) = (2^{3} -1)(4*2+1) = (7)(9) = 63[/tex]
2. el doble de un número aumentado en 7
¡Hola! Creo que tu respuesta es 2x + 7. ¡Espero que esto te ayude! Buena suerte y que tengas un gran día. ❤️✨
Answer:
2x+7 creo
Step-by-step explanation:
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate: How long will it take the athlete to run 9 miles?
Answer:
56.25min or 56min and 15 sec
Step-by-step explanation:
First find how long it will take to run 1 mile, 6.25 mins, then multiply 6.25 by 9
chloe is buying a mixed nuts at a grocery store. she can either spend $7.93 on a 15.25 ounce bag or 11.75 on a 25 ounce bag. which is a better buy?
Answer:
25 ounce bag
Step-by-step explanation:
Zarika earns the same amount each week by walking her neighbor's dogs. When she started this job, she had $300 in her savings account.
The table shows Zarika's savings account balance for her first month of work.
Week 0 1 2 3 4
Balance $300 $550 $800 $1050 $1300
Let x represent the number of weeks Zarika has been working and let y represent Zarika's account balance.
Which equation, expressed in Slope-Intercept Form, represents the amount of money in Zarika's bank account over time?
y=250x+300
y=300x+250
y=300x−250
y=250x−300
Answer
y=250x+300
Step-by-step explanation:
Fred started a new e-commerce business and borrowed 15000 for 12 years to get the business up and running. The interest is 18000. Find the rate
Answer:
The rate is 6.94 %
Step-by-step explanation:
Given;
Amount borrowed by Fred to start up the e-commerce, P = 15000
time of investment, t = 12 years
interest, I = 18000
The rate is given by the following equation;
P = IRt
R = P / It
where;
R is the rate
P is the principal
I is the interest
t is the time
R = (15000) / (18000 x 12)
R = 0.0694
R = 6.94 %
Therefore, the rate is 6.94 %
Maria played a game with her little sister for 25 hour and read her little sister a book for 58 hour.
What is the best estimate for the total time Maria spent with her little sister?
Drag and drop an answer into each box to correctly complete the sentences.
25 hour is closest to . 58 hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .
Answer:
90
58 is closer to 60 and 25 is closer to 30. So when you add them you get 90.
Let X1, X1, ..., X64 be a i.i.d. random sample of size 64 from a distribution with probability density function: f(x) = 6x(1 − x), 0 < x < 1 Approximate P(0.45 < X <¯ 0.5). Hint: find µ and σ 2
Answer:
The approximate value of [tex]P(0.45<\bar X<0.50)[/tex] is 0.3686.
Step-by-step explanation:
The pdf of X is:
[tex]f(x) = 6x(1-x), 0 < x < 1[/tex]
Compute the mean as follows:
[tex]\mu=\int\limits^{1}_{0} {x\times 6x(1-x)} \, dx \\\\=\int\limits^{1}_{0} {6x^{2}-6x^{3}} \, dx\\\\=[\frac{6x^{3}}{3}]-[\frac{6x^{4}}{4}]|^{1}_{0}\\\\=2-\frac{3}{2}\\\\=0.50[/tex]
Compute the variance as follows:
[tex]\sigma^{2}=E(X^{2})-(\mu)^{2}[/tex]
[tex]E(X^{2})=\int\limits^{1}_{0} {x^{2}\times 6x(1-x)} \, dx \\\\=\int\limits^{1}_{0} {6x^{3}-6x^{4}} \, dx\\\\=[\frac{6x^{4}}{4}]-[\frac{6x^{5}}{5}]|^{1}_{0}\\\\=\frac{3}{2}-\frac{6}{5}\\\\=0.30[/tex]
[tex]\sigma^{2}=E(X^{2})-(\mu)^{2}\\\\\sigma=\sqrt{E(X^{2})-(\mu)^{2}}\\\\=\sqrt{0.30-(0.50)^{2}}\\\\=0.2236[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The sample selected is of size n = 64 > 30. Thus a central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the value of [tex]P(0.45<\bar X<0.50)[/tex] as follows:
[tex]P(0.45<\bar X<0.50)=P(\frac{0.45-0.50}{0.2236/\sqrt{64}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{0.50-0.50}{0.2236/\sqrt{64}})[/tex]
[tex]=P(-1.12<Z<0)\\\\=P(Z<0)-P(Z<-1.12)\\\\=0.50-0.13136\\\\=0.36864\\\\\approx 0.3686[/tex]
Thus, the approximate value of [tex]P(0.45<\bar X<0.50)[/tex] is 0.3686.
Suppose the polynomial function f has a zero at x = -3. Which of the following statements must be true?
a) (3,0) is an x-intercept of the graph of f.
b) (0,3) is a y-intercept of the graph of f.
c) x - 3 is a factor of f(x).
d) f(-3) = 0
Answer:
d) f(-3)=0
Step-by-step explanation:
Given that f is equal to zero at x=-3
So, f(-3)=0
Once a month, Eddie cashes his paycheck at a check cashing service that charges a 1% fee. If Eddie gets paid $500 per month, which of the following will be true?
Answer:
He should be paying $5 monthly.
Step-by-step explanation:
500*0.01=5, I think this was a question from flocabulary, next time, try to also add the answer choices.
The true statement is that the amount of money which Eddie would be charged for each monthly withdrawal is equal to $5.
What is a paycheck?A paycheck refers to a financial document issued to an employee by an employer, as payment for the work done over a specific period of time.
How to calculate the service charge.Since the interest on Eddie's monthly withdrawal is 1% (0.01), it simply means that the service charge would be calculated by multiplying his wages by the interest rate.
Service charge = 500 × 0.01
Service charge = $5.
Read more on interest rate here: https://brainly.com/question/24341207
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1. Use synthetic division to find the quotient and the remainder. Label both answers.
(x4 - 2x + x + 5) + (x + 1)
-1.9d + 7 + 4.8d + -1.1d - 1.7d
4x+6y=48 where x is the number of cars of vans?
Answer:
-3/2 y+12
or 12- 3y/2
Step-by-step explanation:
the lines are the line for a fraction not dividing
Answer:
the x- intercept shows they can take 12 cars and 0 vans.
the y intercept shows they can take 0 cars and 8 vans.
Step-by-step explanation:
Leanna has a rectangular piece of fabric. The fabric is 24 inches wide and 40 inches long. Leanna folds the piece of fabric along its diagonal to form a triangular scarf.
What is the area, in square inches, of the triangular scarf?
Answer:
480 square inches
Step-by-step explanation:
width = base = 24 inches
length = height = 40 inches
area of the triangular scarf = 1/2 * base * height
= 1/2 * 24 * 40
= 480 square inches
I need help asap. Please help.
Answer:
kjhjbhjn h
Step-by-step explanation:
Please help me !!!!!!!
Answer:
x = -3, -2, or 2
Step-by-step explanation:
In the graph, we can look along the line f(x)=6 and see where the function intersects, noting the x-coordinate of each value. We see that the coordinates with a y-value of 6 are (-3, 6), (-2, 6), and (2,6). This means that x can equal either -3, -2, or 2 when f(x)=6.
3-5(2x - 3) = 3(4x - 2) + 2
Answer:
x=1
Step-by-step explanation: