Consider that the diameter (d) and circumference (C) are related as,
\(C=3.14d\)This means that the circumference is obtained by multiplying 3.14 to the diameter.
So the circumference will be always greater than the corresponding diameter.
Therefore, option C cannot be the correct choice as its circumference values are less than the corresponding diameter.
The circumference corresponding to 1 unit diameter is,
\(\begin{gathered} C=3.14\times(1) \\ C=3.14 \end{gathered}\)Thus, it is found that the circumference corresponding to unit diamater is 3.14
Therefore, table A will be the correct choice.
26) Solve: $500 is deposited in a savings account. If the interest rate is 10% compounded continuously, after
how many years will the investment be worth $3000?
(Use A = Pe^rt)
Answer:
1. A/P=3000/500=6
2. e^i pi+1=0
What is an equation of the line that passes through the points (4, 3) and
(-6, 3)?
Can anyone answer this ASAP
Answer:
68in^2
Step-by-step explanation:
The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 20.4cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 20.4 cm, what is the single value that is the best-predicted height for that person?
The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:
y = a + bx
where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.
From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.
Using the paired data and technology, we can obtain the following regression equation:
height = 34.774 + 1.4966 (foot length)
Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:
height = 34.774 + 1.4966 (20.4)
height = 65.83 cm
Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
Know more about linear regression here:
https://brainly.com/question/29665935
#SPJ11
Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:
Bamboo grows very quickly. Use the information in the graph to write an equation that models the height (y) at time (x).
The linear function for the given graph is y = x + 20.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:
y = mx + b
From the graph,
The coordinates of the given graph are (0,20) and (20,40)
Then, slope (m) = (40-20)/(20-0) = 20/20 = 1
and y-intercept (b) = 20
So, the equation will be y = 1x + 20
Hence, the linear function for the given graph is y = x + 20.
To learn more about a linear function
https://brainly.com/question/29213103
#SPJ1
PLEASE PLEASE HELP ASAPIn parallelogram ABCD, AD=19, EC=15, mABC=66°, mDAC=78° and mBDC=19°.Find mDAB.
the measures of the opposite angles of a parallelogram are equal
so
\(\text{ADC}=\text{ABC}\)and
\(DAB=\text{BCD}\)the sum of the total angles of a parallelogram is 360
so
\(\text{ADC}+\text{ABC}+\text{DAB+BCD=}360\)where ABC=ADC=66
and
BCD=DAB
so replacing
\(\begin{gathered} 66+66+\text{DAB}+\text{DAB}=360 \\ 132+2\text{DAB}=360 \end{gathered}\)now solve DAB
\(\begin{gathered} 2\text{DAB}=360-132 \\ \text{DAB}=\frac{228}{2} \\ \text{DAB}=114 \end{gathered}\)the measure of DAB is 114°
Please answer this correctly
Answer:
2198
Step-by-step explanation:
10×10×3.14=314
314×7
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
Learn more about Pythagoras theorem here :
https://brainly.com/question/343682
#SPJ1
PLEASE HELP ME. The dot on this number line represents Kelsies debt. Which statement accurately describes her debt?
Answer:
Kelsie's debt is less than 20$
Step-by-step explanation:
Please help me find the equation
The equation of the circle is \((x-h)^2 + (y-k)^2 = r^2\)
(h,k) is the center --> (-2,-1)r is the radius --> 3Thus the equation is: \((x + 2)^2+(y+1)^2 = 3^2\\(x+2)^2+(y+1)^2 = 9\)
Good day and I hoped that helped!
Explain the percentage as a decimal. 9%
Answer:
the answer is 0.09 I think
Answer:
0.09
Step-by-step explanation:
First, drop the % sign. Next, move the decimal point two places to the left. Because 9 is only one digit, you have to add a placeholder zero to show the two decimal places. The answer is 9% written as a decimal is 0.09.
A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 275 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below.
1. What is test statistic?2. What is p-value?3. What is the null hypothesis, and what can we conclude about it?4. Decide whether to reject the null hypothesis?5. What is the final conclusion?
Answer:
1. z = 0.184
2. P-value = 0.427
3. The null hypothesis is that the proportion of treated subjects that experienced headaches is not significantly higher than 9%.
The null hypothesis is failed to be rejected.
4. At a significance level of 0.01, there is not enough evidence to support the claim that more than 9% of treated subjects experienced headaches.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that more than 9% of treated subjects experienced headaches.
Then, the null and alternative hypothesis are:
\(H_0: \pi=0.09\\\\H_a:\pi>0.09\)
The significance level is 0.01.
The sample has a size n=275.
The sample proportion is p=0.095.
\(p=X/n=26/275=0.095\)
The standard error of the proportion is:
\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.09*0.91}{275}}\\\\\\ \sigma_p=\sqrt{0.000298}=0.017\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.095-0.09-0.5/275}{0.017}=\dfrac{0.003}{0.017}=0.184\)
This test is a right-tailed test, so the P-value for this test is calculated as:
\(\text{P-value}=P(z>0.184)=0.427\)
As the P-value (0.427) is greater than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that more than 9% of treated subjects experienced headaches.
15 point plz awnser
Answer:
d
Step-by-step explanation:
because prime number less than 30 is more than all the options which is prime numbers(2,3,5,7,11,13,17,19,23 and 29) most likely is a prime numbers
What is 2.5 divided by 500,000
Answer:
0.000005
Step-by-step explanation:
ez claps
Answer:
0.000005
Step-by-step explanation:
calculator
Percent decrease of $16 to $4
Answer:
75% decrease
Step-by-step explanation:
x/100*12/16
x = percent decrease
subtract what you got in the end (4) from the original number (16) to get 12
(12*100) ÷ 16
1200 ÷ 16 = 75% decrease
x = 75%
A guitar is originally priced at $150. The online retailer gives a discount and the guitar is now priced at $75. Enter the percentage discount for the cost of the guitar.
Answer:
50%
Step-by-step explanation:
75 is half of 150.
150/2 = 75 --> 50%
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answer:
sept one
Step-by-step explanation:
First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
look at my art bois and gals
Answer:
ayeeee you got mad skills homie
Answer:
cool
Step-by-step explanation:
HI PLEASE HELP ON QUESTION ASAP WITH A GOOD ANSWER! 21PTS! ANY SILLY ANSWERS WILL BE DELETED / REPORTED. IF YOUR ANSWER AND EXPLINATION IS CORRECT I WILL RATE YOU FIVE STARS, GIVE A THANKS AND MAYBE EVEN BRAINLIEST!!!
Shahina has 550g of apples and plenty of other ingredients. can she make apple crumble for 6 people? explain your answer.
recipe list:
serves 8 people
700g apple
240g sugar
180 g flour
40g butter
Answer:
Yes, she can-------------------
As per recipe, 700 g apples is enough to make apple crumble for 8 people.
For 6 people Shahina needs:
6*(700/8) = 525 grams of applesSince she has 550 grams of apple, which is more than 525 grams, she can make it for 6 people.
Answer:
With 550g of apples and enough other ingredients, Shahina can make apple crumble for 6 people according to the given recipe.
Step-by-step explanation:
Let's compare the recipe requirements with the available ingredients to determine whether Shahina can make apple crumble for 6 people with the given ingredients.
The recipe serves 8 people and requires the following quantities of ingredients:
700g of apples 240g of sugar 180g of flour 40g of butterShahina has 550g of apples, which is sufficient to meet the apple requirement of the recipe.
Now, let's calculate the ratio of the other ingredients needed per person
For sugar:
240g / 8 people = 30g/person
For flour:
180g / 8 people = 22.5g/person
For butter:
40g / 8 people = 5g/person
Since the recipe is designed to serve 8 people, we can use these ratios to adjust the quantities for 6 people:
For sugar:
30g/person * 6 people = 180g
For flour:
22.5g/person * 6 people = 135g
For butter:
5g/person * 6 people = 30g
Comparing these adjusted quantities to the available ingredients, we see that Shahina has enough sugar, flour, and butter to make an apple crumble for 6 people.
HELP PLEASE EITHER ONE!! JUST SHOW ME HOW!! THANK YOU
Which answers below are correct for this equation ( select ALL true answers).
x - 10= 2xy
A. x =20
B. x= 12.5
C. y= 212
D. Need more information to solve.
Answer:
huh
Step-by-step explanation:
Pls help me I am stuck tysm
a) The initial deposit in the account is given as follows: 1,287.39 euros.
b) The interest rate of the account is given as follows: 3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.Considering the balances after 5 and 6 years, the interest rate is obtained as follows:
r = 1524.60/1480.50 - 1
r = 0.03.
Considering the balance after 5 years, the initial deposit is obtained as follows:
P(1 + 0.03 x 5) = 1480.5
P = 1480.5/1.15
P = 1,287.39 euros.
More can be learned about simple interest at https://brainly.com/question/20690803
#SPJ1
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTHelp!! Please photo art attached below
Answer:
C
Step-by-step explanation:
180 degrees + 30 =210 degrees
210 degrees equals 7π/6
Acelus
AABC-AQRS
Find the missing side length, m.
Source
10
А
2
m = [?]
Answer: m=5
Step-by-step explanation:
Because the triangles are similar, AC/QS = AB/QR
Substituting in the given side lengths,
2/4 = m/10
1/2 = m/10 -> m=5
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?
Answer:
you didn't post a picture :/
The following are the ages (years) of 5 people in a room: 22, 13, 17, 15, 17 A person enters the room. The mean age of the 6 people is now 17. What is the age of the person who entered the room?
Answer:
the 6th man's age is 58!
Step-by-step explanation:
First you have to find the mean of 22, 13, 17, 16, and 17, by first adding 22, 13, 17, 16, and 17 to get 85. Because mean is the numbers added up divided by the total amount of numbers, there are 5 numbers and then you have to divided 85 by 5.
After you get the mean of these numbers, find the other number which will level the mean to 17.
yes this was a lame explanation sorry i'm only in 7th grade and this is all new to me
Rocio is planning her holiday baking. She has three recipes that use butter and needs to make sure she buys enough at the store. One recipe calls for 2½ cups, one needs cup, and one needs 1 cup. Find the total amount of butter she needs. Simplify your answer and write it as a mixed number if necessary. 4½ cups 2½ cups 53/12cups 3/4/9cups
Rocio needs a total of 137/12 cups of butter for her holiday baking.
How to find the total amount of butter she needs.Rocio needs 4½ cups, 2½ cups, and 5⅓ cups of butter for her three recipes, respectively.
We can add these amounts of butter to find the total amount:
4½ cups + 2½ cups + 5⅓ cups
= 9/2 cups + 5/2 cups + 53/12 cups (converting mixed numbers to fractions)
= 54/12 cups + 30/12 cups + 53/12 cups (finding a common denominator)
= 137/12 cups
Therefore, Rocio needs a total of 137/12 cups of butter for her holiday baking.
Learn more about fractions and denominator here : brainly.com/question/11562149
#SPJ1