[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
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Hi can u please help me with this and also an explanation thank u
Question 1: Area of the base
The base is a triangle⇒ Area of a Triangle --> [tex]\frac{1}{2}*(base)*(height)[/tex]
⇒ Area = [tex]\frac{1}{2} * 6 * 8 = 3 * 8 =[/tex] 24 square kilometers
Question 2: Height of Pyramid
Height of pyramid ⇒ distance from the tip of the figure to its base⇒ Height = 12 km
Question 3: Volume of a pyramidFormula for Volume of a pyramid ⇒ 1/3 * (base area) * (height)
⇒ [tex]\frac{1}{3} *24 * 12 = 8 * 12[/tex] = 96 cubic kilometers
Hope that helps!
please answer fast this answer with image
Answer:
3/2
use a calculator to try it on your own
do the 1/4 - 4/9 (4/2/3-11/12) first
then times 9/17
then plus 1/1/8
at last divide by 9/16
If you read 84 pages in 156. At this rate how long will it take you to read 21 pages?
Answer:
39
Step-by-step explanation:
you can set a proportion
84/156 = 21/x
when u solve for x u get 39
name a right angle I need some help
Answer:
90°
Step-by-step explanation:
A right angle is 90° ,learned that in elementary.
Answer:
A right angle is an angle with a 90 degree corner.
Step-by-step explanation:
40 points answer ASAP
A manager is assessing the correlation between the number of employees in a plant and the number of products produced monthly. The table shows the data:
Number of employees
(x) 0 10 20 30 40 50 60 70 80
Number of products
(y) 120 200 280 360 440 520 600 680 760
Part A: Is there any correlation between the number of employees in the plant and the number of products produced monthly? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer: See below
Step-by-step explanation:
a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.
b) Let the function be: y = mx + b
When x = 0; y = 120
So:
120 = 0 + c
c = 120
Now the slope:
[tex]\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8[/tex]
Therefore, the equation that best fits the data is y = 8x + 120
c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.
How many nickels to make 20
Answer:
if you're talking 20 cents, then 4, if you're talking dollars, then 400.
tell me pls if you want an explanation.
Answer:
400 nickels
Step-by-step explanation:
How many nickels to make $20?
1 nickel = 5 cents ($0.05)
? nickels = $20
How many nickels make $1?
0.05x = 1
/0.05 /0.05
x = 20 <== 20 nickels make $1
How many nickels make $20?
20x = $20
20(20) = $20
400 = $20
This means that 400 nickels make $20
Hope this helps!
A triangle has angles of 124°, 28°, and 28°. Will these angles create a triangle?
Answer:
yes it will
Step-by-step explanation:
28+28=56
124+56=180
a triangle consists of angles that add up to 180 degrees
The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. What is the prive of the one drink?
Answer:
each of the drinks are $3
Step-by-step explanation:
10 d d d /19 d=3
hope it help
Answer:
$3
Step-by-step explanation:
pizza-p
drink-d
p+3d=19
p=$10
10+3 (d)=19
3 (d)=19-10
3 (d)=9
d=9÷3
d=$3
What is the slope of the line that passes through (-1, 3) and (-1, 8)?
due today
Answer:
Slope of the line is undefined
Step-by-step explanation:
(x₁, y₁) = (-1 , 3) and (x₂, y₂) = (-1 , 8)
The line is parallel to y-axis. The slope of the line parallel to y-axis is undefined.
There are only blue sweets, green sweets and red sweets in a box.the ratio of the number of blue sweets to the number of green sweets is 2: 7the ratio of the number of green sweets to the number of red sweets is 3 : 1there are less than 140 sweets in the box.what is the greatest possible number of red sweets in the box? your final answer must include the words, 'red sweets'.
Answer:
According to question if we observe, number of red sweets are the least
It 's only 1%
Step-by-step explanation:
the education foundation hosted an anual fundrasing dinner. there were 192 tickets printed for the dinner and each dinner ticket cost $12.50. if 3/4 of the dinner tickets were sold, how much money was rasied frome the dinner ticket sales?
Answer:
Step-by-step explanation:
Which of the following correctly measures the length (in cm) of the green box shown in the image below?
0.920 cm
0.92cm
0.9cm
Answer:
0.92 cm
Step-by-step explanation:
Do not pick 0.920 as it is the same as 0.92 but 0.92 is always the preferable option
The accurate measurement for the length of the green box is indeed 0.92 cm.
To measure the length of the green box accurately, we must carefully analyze the given image. By comparing the green box to the provided scale, we can deduce the correct measurement.
Upon examination, the green box appears to span almost the entirety of the "0.1 cm" scale division and extends slightly beyond it. Given that the box reaches around 9 divisions on the scale, it is reasonable to deduce that its length is 0.92 cm. This is because it's covering 9 divisions of 0.1 cm each, and considering the small extension.
Hence, the accurate measurement for the length of the green box is indeed 0.92 cm. This value takes into account its coverage of 0.9 cm (9 divisions) and a slight extension, aligning with the provided options.
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Given QR || TU. Enter segments in the blanks provided that would result in a true
equation.
The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
What are similar figures?Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Triangle OPN and triangle LMN are similar, hence:
LM / MN = OP / NP
The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
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please help I am confused
Answer:
Step-by-step explanation:
Let's check the transformation from C(1,3) to C'(5,2).
(1) C(1,3) would become C'(2,-1), which is wrong.
(2) You can eliminate this, as the image and preimage are in the same quadrant.
(3) You can eliminate this, as the image and preimage are in the same quadrant.
(4) C(1,3) would become C'(5,2), which is correct.
1) Which of the following has a probability of 0?
1. Rolling a 1 on a standard die
2.Flipping tails on a standard coin
3.Rolling a sum of 20 with two standard dice
4.Rolling a sum of 5 with two standard dice
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.
Real Numbers: Mastery Test
Answer:
exuse me but i dont see the questions
Step-by-step explanation:
The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.
The function D represents the cost is $175 for of x towels.
For the first 20 towels, the equation is simply 5x.
The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.
What is the meaning of maximum cost of 20 towels?
Replace x by 20 in given expression we get the maximum cost
So the maximum cost of those 20 towels is $5 (20)=$100.
Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,
Therefore we get,
3(x-20)+100
Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.
Let's try it for 45 towels using the formula
3 (45-20)+ 100
=3(25) + 100
=75+ 100
= $175
The function D represents the cost is $175 for of x towels.
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Answer:
d
Step-by-step explanation:
edge 2022
Pls help dont need an explanation just an answer
Answer:
[tex]\boxed{\text{Slope = 5}}[/tex]
[tex]\boxed{\text{y-intercept = 1}}[/tex]
Step-by-step explanation:
To find the slope of the line, we must pick any two points on the line. Using those two points, we will calculate the Rise and the Run. Then, we will use the slope formula (Rise/Run) to find the slope. The y-intercept is the intersection of the point on the y-axis.
[tex]\text{My chosen points: (0,1) and (1,6)}[/tex]
[tex]\text{Rise = 5; Run = 1}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\text{Slope}= \dfrac{\text{Rise}}{\text{Run}}[/tex]
➡ [tex]\bold{Slope = \frac{5}{1} = \underline{5}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Rise = 5; Run = 1}][/tex]
[tex]\underline{........................................................................................................................}[/tex]
[tex]\text{Intersection on y-axis:} \ (0,1)[/tex]
➡ [tex]\text{y-intercept} \rightarrow (0,\bold{ 1}) \rightarrow \bold{\underline{{1}}}}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $35 year. Let t be the number of years since 1991. Which equation represents the average daily sales as a function of t
Answer:
d
Step-by-step explanation:
A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.
We conclude that z-score = 0.0005 which is less than 5%.
To calculate the z-statistic,
We must first calculate the standard error.
What is the formula for standard error?
Standard error is standard deviation divided by the square root of the population.
[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]
In this case, it is equal to 1.81.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (26 – 20)/1.81 = 3.31
Therefore we conclude that z-score = 0.0005 which is less than 5%.
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Jasmyn and Samantha go to the mall to go shopping. Jasmyn buys a new t-shirt that is $24.99 and Samantha buys a new pair of pants that are $48.99. If sales tax is 6%, how much will they have to pay total for the t-shirt and pants including tax?
The total cost of both items is $ ____
Answer:
78.42
Step-by-step explanation:
[tex]1.06(24.99 + 48.99)[/tex]
[tex]1.06 \times 73.98 = 78.42[/tex]
2x-10=12 what is the value of x+4
Answer:
15
Step-by-step explanation:
if 2x-10=12 then
2x=22 so
X=11
X+4= 15
Answer:
15
Step-by-step explanation:
1. we find what x is by finding out the first equation:
2x - 10 = 12
Add 10 to both sides (it cancels out on the first side)
-10 + 10 = 0 (cancels out)
12 + 10 = 22
2x = 22
Now we divide both sides by 2 to get x alone
22 divided by 2 = 11
X = 11
2. Now we can solve the equation x + 4:
Just fill in x, which as we solved, is 11
x + 4 = 11 + 4 = 15
Therefore, the value of x + 4 is 15.
How many sides does a polygon have if the sum of the measures of the interior angles is 5940
Answer:
Sorry for my handwriting
[tex]180(x - 2) = sum[/tex]
where x is the number of sides of the polygon.
[tex]180(x - 2) = 5940[/tex][tex]180x - 360 = 5940[/tex]
[tex]180x = 5940 + 360[/tex]
[tex]180x = 6300[/tex]
[tex]x = \frac{6300}{180} = 35 \: sides[/tex]
If you borrowed $2000 from your friend to buy a triathlon bike with a simple interest loan of 7%
annual interest rate for 6 months. How much money will you need to pay them back after the 6
months?
The amount of money that you will need to pay them back after the 6 months is $2,070.
Given the following data:
Interest rate = 7% = 0.07.
Simple interest = $2000.
Time = 6 months.
Conversion:
12 months = 1 year.
6 months = 0.5 year.
How to calculate simple interest.Mathematically, simple interest is given by this formula:
[tex]I=PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Substituting the given parameters into the formula, we have;
[tex]I=2000 \times 0.07 \times 0.5[/tex]
I = $70.
Amount to be paid;
[tex]A=I+P\\\\\A=70+2000[/tex]
A = $2,070.
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Find the area of the figure below. You may assume all sides are perpendicular.
Multiple answer choice
23
19
27
17
Answer:
I think the answers is 27, just add all of those squares.
Write 5.2 as a mixed and improper faction
Answer:
Mixed Fraction: [tex]5\frac{1}{5}[/tex]
Improper Fraction: [tex]\frac{26}{5}[/tex]
Step-by-step explanation:
[tex]\mathrm{Rewrite\:as}[/tex]
[tex]=5+0.2[/tex]
[tex]\mathrm{Convert\;0.2\;to\;a\;fraction}:\frac{1}{5}[/tex]
[tex]=5+\frac{1}{5}[/tex]
[tex]=5\frac{1}{5}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
[tex]5\frac{1}{5}=\frac{5\cdot 5+1}{5}=\frac{26}{5}[/tex]
[tex]=\frac{26}{5}[/tex]
~lenvy~
Hello!
First, let's convert 5.2 into a fraction:
[tex]\bf{5\displaystyle\frac{2}{10} }[/tex]
Simplify:
[tex]\bold{5\displaystyle\frac{1}{5}}[/tex]
We turned this number into a mixed number.
That's why it's mixed - we have a whole number and a fraction.
Now, convert the mixed number into an improper fraction.
Step 1: Multiply the whole number times the denominator.
5×5=25
Step 2: Add the numerator.
25+1=26
The denominator stays the same.
Therefore, the answer is
[tex]\bold{\displaystyle\frac{26}{5}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning :-)
40 + x + 25= 180
like i either get decimals for this or something that doesn’t at ALL equal 180, so confused.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:40 + x + 25 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 65 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 180 - 65[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 115[/tex]
I hope you understood the procedure, please let me know if you have any doubts
14
Mr. Miller drew a rough map to show how his land is divided into sections. He grows corn,
soybeans, and wheat. He also has dairy cows.
Corn 107.625 acres
Soybeans
170.25
Dairy Cows
acres
108 acres
Wheat 107.65 acres
Part A
Type a sentence to compare the number of acres of corn and the number of acres of wheat. Use
<,>, or =
Answer:
Part B
Type a sentence to compare the number of acres of soybeans and the number of acres of wheat.
Use<, >, or =
Answer:
Part C
Compare each crop area to the land used for the dairy cows. Explain if more or less land is used
for each crop than for dairy cows.
Answer:
Answer:
answer is the butt world
33.33333 rounded to the nearest tenth
Answer:
33.3
Step-by-step explanation:
since it's 3 and not higher than 5 the value would be rounded down
CAN SOMEBODY SOLVE THE PROBLEM IVE BEEN STUCK ON IT I WILL GIVE BRAINIEST
The diameter of a cylinder is 3 yd. The height is 12 yd.Find the volume of the cylinder.
Answer:
84.78cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 1.5 × 1.5 × 1284.78 cube.yd