Answer: B) 115 pounds
Step-by-step explanation:
Because x is the number of days passed, after 21 days, x = 21.
[tex]y = -15(21)+430\\\\Multiply\\\\y = -315+430\\\\y=115[/tex]
Hope it helps <3
Answer:
115
Step-by-step explanation:
got it correct on edge 2020
Of a certain road 7.264km are down hill, 3.873km are up hill and 6.89 are level.what is the length of the road pls urgent tnx
Answer:
18.027
Step-by-step explanation:
7.264+3.873+6.89
18.027
if alpha beta are the roots of a x square + bx + c = 0 then the roots of a x square + b λ x + cλ^2 square = λ not equal to zero?
a) λ alpha , λ beta
b) alpha/beta, beta/alpha
c) alpha/ λ , beta/alpha
d) alpha^k, beta^k
Answer:
αλ and βλ
Step-by-step explanation:
if alpha beta are the roots of ax² + bx + c = 0, then:
Sum of roots = α + β = -coefficient of x / coefficient of x² = -b/a
product of roots = αβ = Constant / coefficient of x² = c/a
Let x and y be the roots of ax² + bλx + cλ² = 0
Sum of roots = x + y = -coefficient of x / coefficient of x² = -bλ/a
product of roots = xy = Constant / coefficient of x² = cλ²/a
x + y = -bλ/a = λ(α + β) = αλ + βλ
Comparing terms gives:
x = αλ and y= βλ
Therefore the roots of ax² + bλx + cλ² = 0 are αλ and βλ
Select the correct answer.
If the range of the function ºf(x) = x/4' is {28, 30, 32, 34, 36}, what is its domain?
Answer:
A is right. domain = {112, 120, 128, 136, 144}
Step-by-step explanation:
The range is the y-coordinate while the domain is the x-coordinate
y = x/4
x = 4y
domain = {4(28), 4(30), 4(32), 4(34), 4(36)}
= {112, 120, 128, 136, 144}
you invest $4,100 in an account that pays an interest rate of 8.5%, compound continuously. Calculate the balance of your account after 17 years. Round your answer to the nearest hundredth.
Answer:
16400$
Step-by-step explanation:
Persent invest value= 4100$
Compound intrest rate=8.5% or 0. 085 (annual)
Time period =17 years
According to compound interest formula
Future valve (fv) =persent value(pv) (1+r)^n
Substitute all values
Fv=4100$(1+0.085)^17
Fv=4100$(1.085)^17
Fv=4100 * 4.00
Fv= 16400 $ answer
A grocer's shop sells carrots, onions and cucumbers.
The ratio of carrots to onions is 3:4
The ratio of onions to cucumbers is 6:5.
Work out the ratio of carrots to cucumbers.
Write the ratio in its simplest form.
Type your answer without using any spaces. You do not need to show any working.
Answer: 3:4
Step-by-step explanation:
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is 6 4/7 , find the number common to both sets of four numbers.
Answer:
Number common to both sides=6
Step-by-step explanation:
Average of first four numbers=5
4*5=20
Average of the last four numbers=8
4*8=32
Average of all seven numbers=6 4/7
7*6 4/7
Find the number common to both sets of four numbers
Solution
4*5=20
4*8=32
32+20=52
7 * 6 4/7
=7*46/7
=46
Number common to both sides=52-46
=6
I NEED HELP PLEASE, THANKS! :)
Answer: A
Step-by-step explanation:
The standard form of a cosine equation is: y = A cos (Bx - C) + D where
Amplitude (A) is the distance from the center to the maxPeriod (P) is the length of the function = 2π/B Phase Shift is the distance the max is moved from the y-axis = C/BCenter (D) is the imaginary line between the max and minPlot the points (see graph below).
A = 28
[tex]\dfrac{1}{2}P=6\quad \rightarrow \quad P=12\\\\\\P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 12=\dfrac{2\pi}{B}\qquad \rightarrow \qquad \large\bold{B=\dfrac{\pi}{6}}[/tex]
Phase Shift = 7 = C/B
[tex]7=\dfrac{C}{\frac{\pi}{6}}\qquad \rightarrow \qquad \large\bold{C=\dfrac{7\pi}{6}}[/tex]
D = 49
Input the values of A, B, C, and D into the standard form of a cosine equation to get:
[tex]\large\boxed{y=28\cos \bigg(\dfrac{\pi}{6}x-\dfrac{7\pi}{6}\bigg)+49}[/tex]
13 At the beginning of 2009, Mr Veale bought a company.
The value of the company was £50 000
Each year the value of the company increased by 2%.
(a) Calculate the value of the company at the beginning of 2017
Give your answer correct to the nearest £100
Answer:
£58,800
Step-by-step explanation:
The answer can be calculated using
FV=p(1+r/n)^nt
P=£50,000
r=2%=0.02
n=12
t=2009 to 2017=8 years
FV=p(1+r/n)^nt
=50,000(1+0.02/12)^12*8
=50,000(1+0.0017)^96
=50,000(1.0017)^96
=50,000(1.1771)
=58,855
FV=58,855
To the nearest £100=£58,800
ADDISON RAE mixed L of water with 1 L vegetable oil. Which fluid will be floating? Why? The total volume is 2 L. If water’s density is 1 g/cm^3 and the oil’s density is 0.9 1 g/cm^3, what is the density of the mixture? How about 1.9L of water and 0.1 L of the same oil?
Answer:
The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly but gets faster each minute after you hear this signal bodeboop. A sing lap should be completed every time you hear this sound. ding Remember to run in a straight line and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark. Get ready!… Start
Plz help asap this table represent a quadratic function with a vertex a (1,2) what is the average rate of change for the interval from x=5 to x=6
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
[tex] \frac{f(6) - f(5)}{6-5} [/tex]
[tex] \frac{27- 18}{6-5} [/tex]
[tex] \frac{9}{1} [/tex]
Rate of change = 9
1. Solve.
a) (x + 3)(x - 5) = 0
b) 5(x - 6) (x - 9) = 0
c) (2x + 1) (3x - 5) = 0
d) 2x(x - 3) = 0
Step-by-step explanation:
2x × 3x +(-5×1)=6x-6=o
Answer: A: x=-3, 5
Step-by-step explanation: Use the quadratic equation or solving system method to get x=-3,5 the other questions are similar!
Find the solution to the equation graphically. 10x - 10 = x + 10
Answer: x = [tex]2\frac{2}{9}[/tex]
Step-by-step explanation:
10x - 10 = x + 10
Subtract(x)
9x - 10 = 10
Add(10)
9x = 20
Divide(9)
x = [tex]2\frac{2}{9}[/tex]
Hope it helps <3
Answer:
x = 20/9
Step-by-step explanation:
10x - 10 = x + 10
Subtract x on both sides.
Add 10 on both sides.
10x - x = 10 + 10
Combine like terms.
9x = 20
Divide 9 on both sides.
x = 20/9
The table below gives input and output values for the function h(x) = a^x.
Answer:
It's the first one.
hope it helps :)
Step-by-step explanation:
PLEASE HELP ME IS FOR TOMMOROW
Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = [tex]\frac{opposite }{adjacent}[/tex]
tan x° = [tex]\frac{850}{400\\}[/tex]
tan x° = 2.125
Using a calculator insert
tan^(-1)(2.125) ≈ 65° (after rouding the the nearest unit)
PLEASE HELP ME!! explain this to me I am so confused.
Answer:
2
Step-by-step explanation:
sec∅ is equal to 1/cos∅ or (hypotenuse over adjacent).
With that in mind:
sec∅ = 2/1
sec∅ = 2
Answer:
B. 2
Step-by-step explanation:
We need to find the value of secant for this triangle.
Remember the trigonometric functions: secant = hypotenuse / adjacent, where the hypotenuse is the longest side (2 in this case), and the adjacent is the side right next to the labelled angle but is not the hypotenuse (1 in this case).
Plugging the values into the equation yields:
sec(θ) = hypotenuse / adjacent
sec(θ) = 2 / 1 = 2
The answer is thus B.
~ an aesthetics lover
CAN I GET SOME HELP ASAP PLEASE
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
Just divide and check,
(x^2 + 7x + 10) ÷ (x + 2)
Answer:
x+5
Step-by-step explanation:
so first you would divide by x (which means you would multiply x+2 by -x)
x^2 + 7x + 10
-x^2 - 2x
5x + 10
then you would divide by 5 (which means you would multiply x+2 by -5)
5x + 10
5x +10
0
So then to check it you would multiply x+5 by x+2
(x+5)(x+2)
x^2 + 2x + 5x + 10
then simplify to get
x^2 + 7x + 10
can someone help me plz
Answer:
7 cm
Step-by-step explanation:
The area of a right triangle is given by
A = 1/2 bh
21 = 1/2 y* 6
21 = 3y
Divide each side by 3
21/3 = 3y/3
7 = y
The base is 7 cm
Area formula: A = bh/2
We have a height of 6, a base of y, and a area of 21.
Fill in and solve:
21 = y * 6 / 2
21 = 6y/2
21 = 3y
7 = y
Therefore, the base is 7
Best of Luck!
I need help ASAP bsnbssbbsb
Answer:
Option A and C
Step-by-step explanation:
An isosceles triangle have:
=> Two equal angles
=> Two sides with the same length
Answer:
A & C
Step-by-step explanation:
The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.
If x = 1/3 and y = 3/4 , evaluate the following expression: 8 x − 3 y
Answer:
5/12 or 0.416667
Step-by-step explanation:
Plug in the values for x and y.
8(1/3) - 3(3/4)
Evaluate.
8/3 - 9/4
32/12 - 27/12
= 5/12
If the graph of f(x) = 4x is shifted down, then what would be the equation of the new graph?
Answer:
f(x) = 4x - 4
Step-by-step explanation
245 x 20 remander2/13
a) Find the value of
Write your answer correct to the nearest 10.
b) Find the value of square root of 58 - 29 + 38
Write your answer correct to 2 decimal places.
Answer:
1) 245 x 20 remander2/13 = 4940
2) square root of 58 - 29 + 38
= 8.19
Step-by-step explanation:
245 x 20 remander2/13= 245* 20 2/13
245 x 20 remander2/13= 245 * 262/13
245 x 20 remander2/13= (245*262)/13
245 x 20 remander2/13 =64190/13
245 x 20 remander2/13= 4937.69
245 x 20 remander2/13 = 4940
square root of 58 - 29 + 38
= √(58-29+38)
square root of 58 - 29 + 38
= √(96-29)
square root of 58 - 29 + 38
= √(67)
square root of 58 - 29 + 38
= 8.185
square root of 58 - 29 + 38
= 8.19
A researcher finds that the average preschool-aged child drinks two cups of milk per day. Assuming these data are normally distributed, the z score for any score more than the average cups per day in this example will be ______. Group of answer choices
Answer choices :
less than 0
greater than 0
exactly equal to 0
There is not enough information to answer this question.
Answer: greater than 0
Step-by-step explanation: For a normally distributed data, that is a data which is symmetrical whereby the majority of the values cluster at the center of the distribution. In general, for a normal distribution, the mean is 0 and the standard deviation is 1. Where the mean measures the average and refers to the center of the distribution and the standard deviation measures how spread out the data is.
Z - scores are used to standardize values with values above the average having z-scores greater than 0, those below average having values less than 0 and average value having a z-score of exactly 0.
Shubham, Ashish, and Vinay participated in a long jump competition on their sports day. Shubham jumped 41 m 2 , while Ashish jumped 3 m less than Shubham. On the 4 other hand, Vinay jumped 11m more than Ashish. How 4 long was Vinay's jump?
Answer:
Vinay jumped = 49m
Step-by-step explanation:
Given:
Shubham jumped = 41m
Ashish jumped = 3m less than Shubham
Vinay jumped = 11m more than Ashish
Find:
Length of Viney's jump
Computation:
Ashish jumped = Shubham jumped - 3m
Ashish jumped = 41m - 3m
Ashish jumped = 38m
Vinay jumped = Ashish jumped + 11m
Vinay jumped = 38m + 11m
Vinay jumped = 49m
What is the range of the function graphed below?
1
-3
-2
-3
Answer:
1-(-3)=4
Step-by-step explanation:
To find the range you have to look at the list of numbers:
1, -2, -3, -3
Then you take the highest number, 1, and the lowest, -3, and then subtract.
1-(-3)
And once you do the math, that'll leave you with 4.
What is the solution to -2(8x - 4) < 2x+5
Answer: x>1/6
Step-by-step explanation:
For this problem, you solve it as if it had an equal sign.
-2(8x-4)<2x+5 [distribute -2]
-16x+8<2x+5 [combine like terms by adding and subtracting on both sides]
3<18x [divide both sides by 18]
x>1/6
Can you please help me I really need help please help me thank you
Answer:
a) x = 17/8
b) x = 23
c) x = -8/11.
Step-by-step explanation:
a)
-3x + 5 = 5x - 12
Add 3x to both sides:
5 = 8x - 12
Add 12 to both sides:
17 = 8x
Divide both sides by 8:
17/8 = 8x/8
x = 17/8.
---------------------
b)
6(x-3)-4(x+2) = 20
Distribute:
6x - 18 - 4x - 8 = 20
Combine like terms:
2x - 26 = 20
Add 26 to both sides:
2x = 46
Divide both sides by 2:
x = 23.
---------------------
c)
-2/5(x + 3) = 1/3(x - 2)
Distribute:
-2/5x - 6/5 = 1/3x - 2/3
Add 2/5x to both sides by creating a common denominator:
-6/15x - 6/5 = 5/15x - 2/3
-6/5 = 11/15x - 2/3
Add 2/3 to both sides. Create common denominator:
-18/15 = 11/15x - 10/15
-8/15 = 11/15x.
Divide both sides by 11/15:
[tex]\frac{-8}{15}* \frac{15}{11} = \frac{-8}{11} = x[/tex]
x = -8/11.
A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 10 minutes later than expected and will be able to travel three times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
Solve 5/4y-18=y/2
pls solve it
i'll mark you as brainliest
Answer:
y = 24
Step-by-step explanation:
5/4y-18=y/2
Multiply by 4 on all sides to get rid of the fractions
4(5/4y-18)=4*y/2
5y - 72 =2y
Subtract 5y from each side
5y-5y - 72 =2y-5y
-72 = -3y
Divide by -3
-72/-3 = -3y/-3
24 =y
work out the shaded area
Answer:
70 [tex] {cm}^{2} [/tex]Step-by-step explanation:
Shaded area:
Area of big rectangle - Area of small rectangle
[tex] = 10 \times 12 - (10 - 5) \times (12 - 2)[/tex]
Calculate the difference
[tex] = 10 \times 12 - 5 \times 10[/tex]
Calculate the product
[tex] = 120 - 50[/tex]
Calculate the difference
[tex] = 70 \: {cm}^{2} [/tex]
Hope this helps...
Best regards!!