Helppp! The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented x? Picture below.

Helppp! The Tree Diagram Below Shows All Of The Outcomes For Flipping 3 Coins. Which Outcome Is Represented

Answers

Answer 1

Answer:

Option 1 is the correct choice

Step-by-step explanation:

All possible outcomes are represented with the exception of {HHT}

This would correspond to x

Option 1 is the correct choice


Related Questions

Which step is incorrect?

Answers

Answer:

c step 3

Step-by-step explanation:

from the correct x^(2/5) do we suddenly get to

x^(5/2).

1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).

the correct step 3 is then

x^(2/5)x^(-3)

step 4 is then

x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5

In one year, 30,000 sheep on his property in the next year because of the drought the farmer reduced his flock by 37% The number of sheep he has after the fall in numbers is

Answers

Answer:

11,100

Step-by-step explanation:

1% of 30,000 is 300 so if we times 300 by 37 we get 11,100

there is 11,100 sheep in 37%.

hope this helps :)

A man walks for 40 minutes at 60km/h. he then travels for two hrs in a minibus at 80 km/h. Finally he travel by but for an one hour at 60km/h - Find his speed for the whole journey? ​

Answers

Answer: 71km/h

Step-by-step explanation:

He traveled 260km according to what you gave and 100 km using 60 km/h and 160km using 80km/h Also is this man has rocket since he walked 60km/h. His whole journey take 3h40m. Just take 260 divide by 3h40m so you got the final answer about 71km/h

Answer:

70.8 km/h.

Step by step solved:

To find the speed for the whole journey, we need to find the total distance traveled and the total time taken, and then divide the distance by the time.

Let's start by calculating the distance traveled during each leg of the journey:

Distance traveled on foot = speed x time = 60 km/h x 40/60 h = 40 km

Distance traveled in minibus = speed x time = 80 km/h x 2 h = 160 km

Distance traveled on bus = speed x time = 60 km/h x 1 h = 60 km

Now let's add up the distances to find the total distance traveled:

Total distance traveled = 40 km + 160 km + 60 km = 260 km

To find the total time taken, we need to add up the times for each leg of the journey:

Total time taken = 40/60 h + 2 h + 1 h = 3.67 h

Finally, we can divide the total distance by the total time to find the average speed for the whole journey:

Average speed = total distance / total time = 260 km / 3.67 h ≈ 70.8 km/h

Therefore, the man's speed for the whole journey is approximately 70.8 km/h.

1. Amy wants to her ice cream cone filled exactly to the top. The radius of the cone is 2 in. and the height is 6 in. How much ice cream will it take to fill the cone?







2. Jack is going to fill his beach ball with water. The radius of the ball is 24 in. How much water will it take to fill the beach ball?




3. Mary is sending her sister as summer camp a square box filled with tiny candies. The side of the box measures 6 in. How much candy will it take to fill the box?




4. Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radius of 4 in. and a height of 5 in. with flour. How much flour will it take to fill the canister?



5. Aunt Lillian needs to fill a shoebox with packing material. The box measured 9 in by 5 in by 5 in. How much packing material does she need to fill the box?


(It doesn’t matter what the size, the formula stays the same….)\


PLEEAAASEEE HELLLP

Answers

The volume of the cone is V = (1/3)πr^2h, where r is the radius and h is the height. Substituting the given values, V = (1/3)π(2 in)^2(6 in) = 8π in^3. Therefore, it will take 8π cubic inches of ice cream to fill the cone.

The volume of a sphere is V = (4/3)πr^3, where r is the radius. Substituting the given value, V = (4/3)π(24 in)^3 ≈ 55,389.6 cubic inches. Therefore, it will take about 55,389.6 cubic inches of water to fill the beach ball.

The volume of a cube is V = s^3, where s is the length of the side. Substituting the given value, V = (6 in)^3 = 216 cubic inches. Therefore, it will take 216 cubic inches of candy to fill the box.

The volume of the canister is V = πr^2h, where r is the radius and h is the height. Substituting the given values, V = π(4 in)^2(5 in) = 80π in^3. Therefore, it will take 80π cubic inches of flour to fill the canister.

The volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. Substituting the given values, V = (9 in)(5 in)(5 in) = 225 cubic inches. Therefore, Aunt Lillian needs 225 cubic inches of packing material to fill the shoebox.

1. The volume of a cone is  8π cubic inches.

2. The volume of a sphere is  8π cubic inches.

3. The volume of a cube is  8π cubic inches.

4. The volume of a cylinder is  8π cubic inches.

5. The volume of a rectangular prism is  8π cubic inches.

What is volume?

The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.

1. The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2²)(6) = (4/3)π(6) = 8π cubic inches.

2. The volume of a sphere is given by V = (4/3)πr³, where r is the radius. Substituting the given value, we get V = (4/3)π(24³) = 18432π cubic inches.

3. The volume of a cube is given by V = s³, where s is the side length. Substituting the given value, we get V = 6³ = 216 cubic inches.

4. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(4²)(5) = 80π cubic inches.

5. The volume of a rectangular prism is given by V = lwh, where l, w, and h are the length, width, and height, respectively. Substituting the given values, we get V = (9)(5)(5) = 225 cubic inches.

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Josh is at a park. He knows that the distance from the picnic table to a tree is 124 feet. Josh also knows the angle formed by a segment from his location to the picnic table and a segment from his position to the tree is 54 degrees and that triangle formed by his position, the picnic table, and the tree is a right triangle, with a right angle at the picnic table. Does josh have enough to find how far he is from the picnic table.

Answers

Answer:

Yes, Josh has enough information to find how far he is from the picnic table.  Josh is 90.1 ft from the picnic table (to the nearest tenth).

Step-by-step explanation:

Yes, Josh has enough information to find how far he is from the picnic table.

From the given information, we can model this as a right triangle where the angle is 54°, the side opposite the angle is the distance between the picnic table and the tree, and the side adjacent the angle is the distance between Josh and the picnic table. (See attached diagram).

To calculate the distance between Josh and the picnic table (labelled "x" on the attached diagram), use the tangent trigonometric ratio.

[tex]\boxed{\begin{minipage}{6 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]

Substitute the values into the tan ratio:

[tex]\implies \tan 54^{\circ}=\dfrac{124}{x}[/tex]

[tex]\implies x=\dfrac{124}{\tan 54^{\circ}}[/tex]

[tex]\implies x=90.09127...[/tex]

[tex]\implies x=90.1\; \sf ft\;(nearest\;tenth)[/tex]

Therefore, Josh is 90.1 ft from the picnic table (to the nearest tenth).

In a population of mendel's garden peas, the frequency of dominant yellow-flowered plants is 50%. The population is in hardy-weinberg equilibrium. What is the frequency of the recessive allele in the population?.

Answers

Answer:

the frequency of the recessive allele in the population is 0.5 or 50%.

Step-by-step explanation:

In a population in Hardy-Weinberg equilibrium, the frequency of alleles remains constant from generation to generation. According to the Hardy-Weinberg law, if p is the frequency of the dominant allele and q is the frequency of the recessive allele, then:

p + q = 1

and

p^2 + 2pq + q^2 = 1

where p^2 represents the frequency of homozygous dominant individuals, 2pq represents the frequency of heterozygous individuals, and q^2 represents the frequency of homozygous recessive individuals.

Given that the frequency of dominant yellow-flowered plants is 50%, or 0.5, we can assume that p = 0.5. Substituting into the first equation, we get:

0.5 + q = 1

Solving for q, we get:

q = 1 - 0.5

q = 0.5

Therefore, the frequency of the recessive allele in the population is 0.5 or 50%.

which values in the set {1,2,3,4,5} are a solution to 4x - 2 < 15?

please give me an answer guys

Answers

Answer:

Values from the set = 1, 2, 3, 4.

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The inequation is,

→ 4x - 2 < 15

Then the value of x will be,

→ 4x - 2 < 15

→ 4x < 15 + 2

→ 4x < 17

→ x < 17/4

→ [ x < 4.25 ]

Hence, the answer is x < 4.25.

- The water level in a retention pond started at 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought. A tropical depression moved through at the beginning of the 15th day and produced rain at an average rate of 2.5 in./day for 5 days. Write a piecewise-defined function to model the water level L (x) (in inches) as a function of the number of days x since the beginning of the drought.​

Answers

The piecewise function that models model the water level L (x) (in inches) as a function of the number of days x since the beginning of the drought is given as follows:

L(x) = 60 - 2x, 0 ≤ x ≤ 14.L(x) = 30 + 5x, 15 ≤ x ≤ 19.

How to define a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which;

The slope m represents the rate of change.The intercept b represents the value of y when x = 0.

A piecewise function is a function with different definitions, based on the input of the function.

For the first 14 days, the parameters are given as follows:

b = 60 -> water level during day 0.m = -2 -> each day the amount decreased by 2 in.

Hence:

L(x) = 60 - 2x, 0 ≤ x ≤ 14.

For the last 5 days, the parameters are obtained as follows:

b = 60 - 2(15) = 30.m = 5, as each day the amount increased by 2 in.

Hence:

L(x) = 30 + 5x, 15 ≤ x ≤ 19.

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45 cm
36 cm
38 cm
= the volume

Answers

bonjours

oui sa est égale au volume

Mr. Shaw is building a walk away from the corner of his house out to his vegetable garden in the corner of the yard. The dimensions of the yard and the garden are shown. What is the length of the walkway, w, to the nearest foot?
A 24 foot
B 34 foot
C 46 foot
D 58 foot
Ummi chose C as the correct answer. How might she had gotten that answer?

Answers

Answer:

34 Foot

Step-by-step explanation:

You're basically just doing the pythagorean theory: a^2+b^2=c^2

You just are not directly being given a or b and instead you have to find them which you do by subtracting how big the garden is from the total length: 50-20=30(a) 30-14=16(b). After that you just do the normal theory getting 30^2+16^2=c^2 which leads to 900+256=c^2 then 1156=c^2 so you take the square root of both sides in order to turn c^2 into plain c or the length of the walk way which will get you 34 feet.

to make coldrink 1 must mix concentrate with water in a ratio of 1:3
if I have 400ml of concentrate how much water must I use?​

Answers

Answer:

1200ml or 1.2l of water

Step-by-step explanation:

concentrate:water

1:3

400:x

3×400=1200

400:1200

1200ml or 1.2l of water

What is $54.28 rounded to the nearest 10 dollars?​

Answers

$54.28 rounded to the nearest 10 dollars is $50.00

Can someone answer this just read the picture? Right answers only please!

Answers

Answer:

8,192

Step-by-step explanation:

20/100*80 =16 apply tjis in every step as they asked 4 times

J
14
20
K
22.4
AKLS-
T
32
L
Similar By:
S
Determine if the triangles are similar. If similar.state how and complete the similarity statement

Answers

The triangles JTK and KSL are not congruent. So we cannot complete a similarity statement.

what is congruent ?

In geometry, two figures are said to be congruent if they have the same shape and size. In other words, if all corresponding angles are congruent and all corresponding sides are of equal length, then the two figures are congruent.

For example, two triangles are congruent if all three pairs of corresponding angles are congruent and all three pairs of corresponding sides are of equal length. Similarly, two circles are congruent if they have the same radius.

According to the question:
To determine if the triangles JTK and KSL are similar, we need to check if their corresponding angles are congruent and their corresponding sides are in proportion.

First, we can see that angle JTK and angle KSL are congruent because they are both right angles.

Next, we can use the Pythagorean theorem to find the length of side TK:

[tex]TK^2 = JK^2 - JT^2[/tex]

[tex]TK^2 = 14^2 - 2^2[/tex]

[tex]TK^2 = 192[/tex]

TK = sqrt(192)

TK = 8*sqrt(3)

Now, we can compare the ratios of the corresponding sides to see if they are equal:

JT : JK : TK = 2 : 14 : 8*sqrt(3)

KS : KL : SL = 32 : 22.4 : 15.2

We can simplify these ratios by dividing by the greatest common factor, which is 2:

JT : JK : TK = 1 : 7 : 4*sqrt(3)

KS : KL : SL = 8 : 5.6 : 3.8

We can see that these ratios are not equal. Therefore, the triangles JTK and KSL are not similar.

Since the triangles are not similar, we cannot complete a similarity statement.

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Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350.000. The APR is 3.35%. The last payment will be the balloon payment of the full
principal.
a. Find the total number of monthly payments, not including the final balloon payment.[
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?

Answers

Monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the total number of monthly payments, we need to multiply the number of years by 12 (the number of months in a year) and subtract 1 (for the final balloon payment).

So the total number of monthly payments is:

12 x 12 - 1 = 143

b. To find the amount of each monthly payment, we can use the formula

First, we need to convert the APR to a monthly interest rate by dividing by 12:

Monthly Interest Rate = 0.0335 / 12 = 0.002792

Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴³)

= $973.52

The monthly payment is $973.52.

c. The balloon payment is simply the full principal amount of $350,000. The difference between the regular monthly payment and the balloon payment is:

Balloon Payment - Monthly Payment = $350,000 - $973.52 = $349,026.48

The difference is $349,000.

d. To find the monthly payment for a 12-year, fully amortizing mortgage, we can use the same formula as in part b, but with a different Total Number of Payments:

Total Number of Payments = 12 x 12 = 144

Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴⁴) = $3,331.87

The monthly payment for a fully amortizing mortgage would be $3,331.87.

Hence, monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.

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The equation y = 19(1.057) represents book sales in billions of dollars since 1990. Let x represent the number of years. Let x = 0 represent book sales in 1990. What were the total sales, in billions of dollars, in 1990? O 18 19 O 20 O 21 B 7 8. 9 10 Next​

Answers

In 1990, 19 billion dollars worth of books were sold.

What is the formula for exponential growth and exponential decaying function?

The formula for exponential growth is [tex]y = y_0e^{(kt)}.[/tex]

The formula for exponential decay is [tex]y = y_0e^{(-kt)}.[/tex]

We know a function is called an exponential function when the independent variable is the exponent.

An example of an exponential function is, aˣ.

Given, The equation y = 19(1.057) represents book sales in billions of dollars since 1990.

The equation is, y = 19(1.057)ˣ, Where x = the number of years.

Therefore, At x = 0 or in 1990,

y = 19(1.057)⁰.

y = 19(1).

y = 19 billion dollars

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Select the equation that is true. A. 2 2 3 × 4 = 8 2 3 B. 2 2 3 × 5 8 = 1 2 3 C. 2 2 3 × 2 3 = 2 4 9 D. 2 2 3 × 4 3 5 = 8 6 15 its fractions im lazy thats all

Answers

The equation 2 2/3 × 2/3 = 2 4/9 is true.

What are fractions?

A fraction represents a part of a whole or a ratio between two quantities. It is written as a/b, where "a" is the numerator and "b" is the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole or the ratio.

The equation that is true is:

C. 2 2/3 × 2/3 = 2 4/9

To solve the problem, we can convert the mixed numbers to improper fractions, and then multiply:

2 2/3 = 8/3

2/3 = 2/3

8/3 × 2/3 = 16/9

We can then convert the improper fraction back to a mixed number:

16/9 = 1 7/9

Therefore, the equation 2 2/3 × 2/3 = 2 4/9 is true.

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the wind speed y (in miles per hour) of a tropical storm is y = 2x + 66, where x is the same number of hours after the storm enters the gulf of mexico "15 by 15 graph first quadrant" A: Complete the table (show work) B: Graph the equation C: When does the storm become a hurricane

Answers

Answer:

Step-by-step explanatio

A. To complete the table, we need to plug in different values of "x" into the equation y = 2x + 66 and solve for "y". We can choose any values of "x", but it's usually helpful to choose values that are easy to calculate. Here's the table with "x" values ranging from 0 to 7:

x y

0 66

1 68

2 70

3 72

4 74

5 76

6 78

7 80

B. To graph the equation, we can plot the points from the table on a coordinate plane. We can use the x-axis to represent the number of hours after the storm enters the Gulf of Mexico (x), and the y-axis to represent the wind speed in miles per hour (y). The points should fall on a straight line with a slope of 2 and a y-intercept of 66. We can plot the points and draw the line as follows:

C. The wind speed of a tropical storm becomes a hurricane when it reaches or exceeds 74 miles per hour. Looking at the graph, we can see that the wind speed reaches 74 miles per hour when x = 4. Therefore, the storm becomes a hurricane 4 hours after entering the Gulf of Mexico.

Elsa menabung uang di bank sebesar Rp.2.000.000,00. Apabila ia mendapat bunga 0,5% perbulan, berapa jumlah uang tabungan di bank selama 10 bulan?

Answers

Answer:

Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:

A = P(1 + r)^n

dimana:

A = jumlah uang tabungan akhir

P = jumlah uang tabungan awal

r = tingkat bunga per bulan (dalam desimal)

n = jumlah bulan

Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.

Maka,

A = 2.000.000(1 + 0,005)^10

= 2.000.000(1,005)^10

= 2.000.000(1,0512)

= Rp.2.102.400,00

Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.

Step-by-step explanation:

Daniel already snacked on a almonds. Then he snacked on another 8 almonds. Write an expression that shows how many almonds Daniel snacked on in all.

Answers

a + 8. This expression represents the total number of almonds that Daniel snacked on in all.

What is the difference between expression and equation?

An expression is a mathematical phrase that contains numbers, variables, and operations. It can be evaluated to produce a single numerical value or another expression. Expressions do not contain an equal sign (=), and they do not represent a statement that is either true or false.

An equation, on the other hand, is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and represents a statement that is either true or false. Equations typically contain variables that can take on different values, and they can be used to solve for an unknown variable by manipulating the equation using algebraic operations.

To summarize, expressions are mathematical phrases that do not contain an equal sign and can be evaluated to produce a value, while equations are mathematical statements that do contain an equal sign and represent a relationship between two expressions that is either true or false.

We can use addition to represent the total number of almonds that Daniel snacked on. If Daniel snacked on an initial amount of almonds, say "a", and then snacked on an additional 8 almonds, we can write the expression:

a + 8

This expression represents the total number of almonds that Daniel snacked on in all.

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pleas find the area of the figure.

Answers

Answer:

41

Step-by-step explanation:

we can get this answer because:

3(3)=9

4(8)=32

and u add 32 and 9 together and get 41

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard deviation for the given sample data. What do the results tell​ us?
23 53 67 61 66 91 27 85 98 44 73
Question content area bottom
Part 1
Range= enter your response here ​(Round to one decimal place as​ needed.)
Part 2
Sample standard deviation= enter your response here ​(Round to one decimal place as​ needed.)
Part 3
Sample variance= enter your response here ​(Round to one decimal place as​ needed.)
Part 4
What do the results tell​ us?
A.
Jersey numbers are nominal data that are just replacements for​ names, so the resulting statistics are meaningless.
B.
The sample standard deviation is too large in comparison to the range.
C.
Jersey numbers on a football team do not vary as much as expected. D Jersey numbers on a football team vary much more than expected.

Answers

Answer:

Part 1:

Range = 98 - 23 = 75

Part 2:

First, find the sample mean:

Mean = (23 + 53 + 67 + 61 + 66 + 91 + 27 + 85 + 98 + 44 + 73)/11 = 61.9

Then, find the sum of the squared differences between each jersey number and the mean:

(23-61.9)^2 + (53-61.9)^2 + (67-61.9)^2 + (61-61.9)^2 + (66-61.9)^2 + (91-61.9)^2 + (27-61.9)^2 + (85-61.9)^2 + (98-61.9)^2 + (44-61.9)^2 + (73-61.9)^2 = 12388.4

Sample variance = 12388.4/10 = 1238.84

Sample standard deviation = √1238.84 = 35.17

Part 3:

Sample variance = 1238.84

Part 4:

The results tell us that there is a relatively large range in jersey numbers, with a difference of 75 between the highest and lowest numbers. The sample variance and standard deviation also indicate that there is a considerable amount of variability in the data, with jersey numbers varying significantly from the mean. This suggests that there is no pattern or structure to the jersey numbers on the football team, and that they are assigned somewhat randomly.

Step-by-step explanation:

The mean amount of money spent on lunch per week for a sample of 273
students is $22
. If the margin of error for the population mean with a 98%
confidence interval is 2
, construct a 98%
confidence interval for the mean amount of money spent on lunch per week for all students.

Answers

The true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.

Define the term "margin of error"?

Margin of error is a statistical term that refers to the amount of random sampling error that is present in a survey or statistical estimate. In other words, it is the amount of uncertainty or variation that is inherent in any statistical measurement or survey result.

To construct a 98% confidence interval for the mean amount of money spent on lunch per week for all students, we need to use the formula:

Confidence interval = sample mean ± (z-score)(standard error)

Here, the sample mean is $22, the margin of error is 2, and the sample size is 273. To find the z-score for a 98% confidence interval, we can use a standard normal distribution table or calculator. The z-score for a 98% confidence interval is approximately 2.33.

To calculate the standard error, we need to use the formula:

[tex]Standard Error = \frac{standard Deviation}{\sqrt{sample Size} }[/tex]

Since the standard deviation is not given, we can estimate it using the sample standard deviation. Let's assume that the sample standard deviation is $8. The Standard Error calculated as:

[tex]Standard Error = \frac{8}{\sqrt{273} }[/tex]  ≈ 0.48

Substituting the values into the formula for the confidence interval, we get:

Confidence interval = $22 ± 2.33(0.48) ≈ $20.12 to $23.88

Therefore, we can be 98% confident that the true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.

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pls help, it on khan academy

Answers

Answer:

25.12cm²

Step-by-step explanation:

Hope it helps. Have a nice week.

8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?

Answers

The distance from the island to Gatsby's dock is 1.3 miles.

What is a Pythagoras theorem?

A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.

Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;

/Hyp/^2 = /Opp/^2 + /Adj/^2

s^2 = 1.2^2 + 0.5^2

      = 1.44 + 0.25

      = 1.69

s = 1.69^1/2

  = 1.3

Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.

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The ice cream above is going to melt.
When it does, will it fit in the cone or
will it overflow? Explain.
The spherical ice cream scoop and the
right cone have a radius of 3 cm.
The height of the cone is 7 cm.
Show all your work.

Answers

Answer:

well...it depends how much ice cream ia in the cone...if its 3 or more it Will definently overflow.

A community theater held auditions for their summer musical. There were 42 performers accepted in the cast. That was 60% of all those who auditioned. How many people auditioned for the musical?

Answers

Answer:

64 people

Step-by-step explanation:

I'm not so sure but I think its right.

Here's how I figured it out:

60x2=120

42x2=84

120-20=100%

84-20=64

How do I find the vertex of the equation

Answers

The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)

How to determine the vertex of the equation

The vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.

For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))

From the question, we have the following parameters that can be used in our computation:

(x - 1)^2 - 9 = 0

A quadratic equation is represented as

a(x - h)^2 + k = 0

Where the vertex is

Vertex = (h, k)

Using the above as a guide, we have the following:

Vertex = (h, k) = (1, 9)

Hence, the vertex is (1, 9)


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Complete question

How do I find the vertex of the equation

(x - 1)^2 - 9 = 0

tommmy earns $140 in interest after 5 years on a pricipal of $400 jane earned $132 after 4 years on principal of $600 use the intrest rate to justify which bank would you rather use tommys or janes

Answers

Comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for less principal amount.

What is meant by the interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given,

Interest earned by Tommy SI = $140

Time t = 5 years

Principal amount P = $400

Interest earned by Jane SI = $132

Time t = 4 years

Principal amount P = $600

Simple interest SI = (P × r × t)/100

where r = interest rate

For Tommy,

140 = ( 400 × r × 5) /100

r = 7%

For Jane,

132 = ( 600 × r × 4) / 100

r = 5.5%

Therefore comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for the less principal amount.

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How can i simplify 1½-⅓÷⅔+1

Answers

Answer:

2

Step-by-step explanation:

you first follow the BODMAS law then you divide 1/3÷2/3 It will give you 1/2 so you 3/2-1/2 +1 it will give you 2

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