Answer:
m = -1; b = 2
Step-by-step explanation:
the first step in solving this equation is to find the slope
so we use the equation (y2-y1)/(x2-x1)
so with this the equation is
(4 - 3)/(-2 + 1)
then it would be 1/-1
that is -1
so the function so far is f(x) = -x + b
to find the b you would plug in the coordinates
we can plug in the first set
3 = 1 + b
b = 2
so the m is -1 and the b is 2
Use the fact that the quantity of a radioactive substance after t years is given by
q = q0(2−t/k),
where q0 is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).
The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 20 years if
q0 = 87 kg.
(Round your answer to the nearest kg.)
Answer:
50 kg
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
q = q0(2^(-t/k))
q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)
q ≈ 50 kg
The amount remaining after 20 years is about 50 kg.
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
(5x-y=74
x + 4y = 14
2x=y=5
7x+2y=-10
Which of the following will be the new
equation when the top equation
is multiplied by 4?
5x-4y=7
20x-4y=7
20x-4y=28
5x-y=28
Answer:
It will be: ( 5x - y =7 )4
20x - 4y = 28
Option (C)
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months?
Answer:
It's A :)
Step-by-step explanation:
ur welcome
Answer:
✅ A. $58.57i took the test⬇️
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
what is the relationship between slope and unit rate?
Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
what is 90 divided by 19 +607 divided by 1
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
please help with step by step.
Answer:
60 ÷ 15
= 4 mins
the constant of proportionality for the number of 4 minutes to read 1 page.
Find the area of the shaded region.
Answer:
56
Step-by-step explanation:
8 x 8 = 64
4 x 4 = 16
16/2 = 8
64-8 =56
-7(5k - 4)
Simplify expression
Answer:
−35k+28
Step-by-step explanation:
the answer is -35k+28
i hope its right
Question is on the photo
Answer:
12 cm, 7 cm, 5 cm will not make a triangle
Step-by-step explanation:
The Triangle Length Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 7 + 5 = 12 which isn't greater than 12.
What is the area of a circle with a diameter of 36 millimeters
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
35% of what number is 105?
Answer:
35 percent of 105 is 36.75 .
For a 15 year mortgage of $200000 at 5.125%, how much money was paid back to the lender at the end of the 15 years?
Answer:
Step-by-step
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:
hope this helped
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.
The amount of money which is paid back to the lender at the end of the 15 years is $353,750.
What is Interest?Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.
Given that,
Principal amount of the mortgage = $200,000
Rate of interest, r = 5.125% = 0.05125
Number of years, t = 15 years
Simple interest = Prt
= 200,000 × 0.05125 × 15
= 153,750
Total money paid back to lender = Principal amount + Interest amount
= $200,000 + $153,750
= $353,750
Hence the money paid back is $353,750.
Learn more about Interest here :
https://brainly.com/question/13803142
#SPJ3
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!
Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S
Answer:
26+10-S
Step-by-step explanation:
Answer:
26+10-S or 36-S
Step-by-step explanation:
She has 26 shells and collected 10 more
26+10
And the she gave her sister S shells
26+10-S or 36-S
Need help on these two please
Answer:
Given below.Step-by-step explanation:
Q.1.
[tex]ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)[/tex]
apply ln rules:
[tex]ln( 4 * x) = ln (24)[/tex]
cancel ln from both sides:
[tex]4x = 24[/tex]
divide both sides by 4:
[tex]x = 6[/tex]
Q.2.
[tex]2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)[/tex]
apply ln rules:
[tex]ln\left(x^2\right)=ln\left(4*9\right)[/tex]
cancel ln from both sides:
[tex]x^2 = 36[/tex]
[tex]x = \pm6[/tex]
as ln cannot be negative:
[tex]x = 6[/tex]
Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick
Answer:
18.60
Step-by-step explanation:
Let's first know what commission meaning:
Commission: Commission is the amount of money an employee earns when they sell something
Now Let's Start Solving:
[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]
[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]
[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]
[tex]\frac{1860}{100}[/tex]
[tex]x= 18.60[/tex]
Hence, Helen earn $18.60 in Commission.
[RevyBreeze]
Answer:
Helen earned 18.60 commission, thank me later! :)
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
Read more about z scores at:
https://brainly.com/question/25638875
i really need help please
lots of points for correct answer!
Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.
Determine the height of the quadrilateral. -
Determine the length of the quadrilateral. -
What shape do the points form?
What is the area of the quadrilateral?
What is the perimeter of the quadrilateral?
Answer:
height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 unitsStep-by-step explanation:
Height
The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:
4 -(-2) = 4 +2 = 6
The height of the figure is 6 units.
__
Length
The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:
4 -(-3) = 4 +3 = 7
The length of the figure is 7 units.
__
Shape
The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.
__
Area
The area of the quadrilateral is the product of its length and height:
A = LH
A = (7 units)(6 units) = 42 units²
The area is 42 square units.
__
Perimeter
The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.
P = 2(6 +7) = 26
The perimeter is 26 units.
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
Add the decimals.
3.0001 +72
=
Answer:
75.0001
Step-by-step explanation:
Used a calculator
if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500.9, with a standard deviation of 10.6.
Find the median of the MCAT scores.
Give your answer to three decimal places.
Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The median is also the 50th percentile, hence, in the normal distribution, it is equals to the mean.In this problem, the mean score was 500.9, hence the median score was also of 500.9.
You can learn more about the normal distribution at https://brainly.com/question/24663213
You must follow the order of operations to find the value of a numerical expression. Why?
Answer:
its so good out here whwere you frm
standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.
Answer:
Hope this helps you.......
Step-by-step explanation:
[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]
Answer:
breadth = 12 cm and Length is 48 cm
Explanation:
Let the length be x,
then the breadth will be [tex]\frac{1}{4}[/tex]x
Formula for area of rectangle:
length * breadth
using the formula:
x * [tex]\frac{1}{4} x[/tex] = 576
x² = 4(576)
x² = 2304
x = √2304
x = 48
Therefore the Length is 48 cm
Then the breadth [tex]\frac{1}{4}[/tex] * 48 = 12 cm
Which of the following is not a right triangle?
a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86
Answer:
D) 40, 76, 86
Step-by-step explanation:
..........
plsss help!!!!! Mhanifa
Answer:
See belowStep-by-step explanation:
Total number of ornaments:
24 + 12 + 8 + 19 = 63a)
P(gold) = gold / total = 12/63 = 4/21b)
P(silver) = silver/total = 24/63 = 8/21c)
P(gold or silver) = (12 + 24)/63 = 36/63 = 4/7Answer:
8)
total ornament: 24 + 12 + 8 + 19 = 63
a. probability its a gold ornament: [tex]\frac{12}{63}[/tex] → [tex]\frac{4}{21}[/tex]
b. probability its a silver ornament: [tex]\frac{24}{63}[/tex] → [tex]\frac{8}{21}[/tex]
c. probability she will get gold or silver ornament: [tex]\frac{24}{63}[/tex] + [tex]\frac{12}{63}[/tex] = [tex]\frac{4}{7}[/tex]