6x8 is 48. You can't simplify 48/5, so that's your answer. If you wanted to create a mixed number, you could write 9 3/5
Interpreting Graphs of Linear and Exponential Functions in Context - Item 31449
Question 2 of 7
A boat depreciates in value each year. Which of the following is NOT true about the
value of the boat after t years?
(s) onje BOA
20,000 -
16,000 -
12,000 -
8,000
4.000-
0
4
8 12 16%
20
Time yn
CLEAR
CHECK
The value of the boat is decreasing over time,
The boat will be worth more in 20 years than the amount it
was purchased for
The boat was initially purchased for $20,000
After 4 years, the boat will be worth exactly half of its
original price
Answer:
???
Step-by-step explanation:
Put the following fractions in their simplest forms 9/36=?
Answer:
exact form:
\(\frac{1}{4}\)
decimal form:
0.25
this should help.
What angles are acute GFE mlk dbc dba
Answer:
d and a
Step-by-step explanation:
an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)
In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.
Hypertension by Obesity Level
Obesity Level
Hypertension Low Average High
Yes 34 30 51
No 119 99 82
a) What is the probability of an adult having hypertension?
b) What is the probability of an adult having hypertension and being classified as a low level of obesity?
c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?
d) What is the probability of an adult being classified as a high or average level of obesity?
e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?
f) Are an adult's hypertension status and obesity categorization independent
The probability of an adult having hypertension is 0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is 0.444.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.
b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.
c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.
d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.
e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.
f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).
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9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.
We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:
BD = 2 * AB * AY / XZ
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.
Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,
AB/AX = AC/AY = BC/BZ
Since AB = BC (given that B is a vertex of both triangles), we have:
AB/AX = AC/AY
We can rewrite this equation as:
AB/AC = AX/AY ----(1)
Since BD is a median of triangle ABC, we have:
BD = 1/2 AC ----(2)
Similarly, since YW is a median of triangle XYZ, we have:
YW = 1/2 XZ ----(3)
From equation (1), we have:
AB/AC = AX/AY
Multiplying both sides by AC, we get:
AB = AX * (AC/AY)
Now, using equation (2), we can substitute AC/2 for BD:
AB = AX * BD/AY
Finally, using equation (3), we can substitute XZ/2 for YW:
AB = (BD/2) * (XZ/AY)
Therefore, we have found that:
AB = (BD/2) * (XZ/AY)
Hence, we can solve for BD:
BD = 2 * AB * AY / XZ
Note that we need to know the actual values of AB, AY, and XZ to find BD.
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Help me please I need to get a good grade on this
Answer: 1,000
Step-by-step explanation: if you multiply the 900 in 157,900 by a 1,000 you get the 900,000 in 901,532.
tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill?
Answer:
Step-by-step explanation:
Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.
i need helppppp please answer correctlyyyy Multiply (−4) × (−2) × (−5).
Answer:
-40hope this helps...........
4. Se contrata un bus para hacer una excursión, si se hubieran completado los asientos el costo del
pasaje por persona hubiera sido de $10, pero faltaron 10 personas, entonces el costo del pasaje por
persona es de $15.¿Cuántos asientos tiene el bus ?
Answer:
???
Step-by-step explanation:
Consider the inequality: y < -x + 4 So, the slope m= -1 and
Y-intercept b =4
true
or
false
helpe meee plz
Answer:true
Step-by-step explanation:
Because your slope is -x or -1 and your y intercept is 4 or b=4
The given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and Y-intercept is b =4.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the inequality is,y < -x + 4
A straight line is a combination of endless points joined on both sides of the point.
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
Compare the given inequality with the standard equation.
We get the slope m= -1 and Y-intercept b =4.
Thus, the given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and y-intercept is b =4.
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twice the sum of nineteen and twenty is seventy-eight in a symbol
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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multiple representations of exponential functions, sketch the graph of each function y={2}^{x}
Answer:
See attachment for graph
Step-by-step explanation:
Given
\(y = 2^x\)
Required
Plot the graph
First, we list out possible values of x and y
When \(x = 0\):
\(y = 2^0 = 1\)
When \(x= 1\):
\(y = 2^1 = 2\)
When \(x =2\):
\(y = 2^2 = 4\)
When \(x = 5\)
\(y = 2^5 = 32\)
So, we plot the graph by connecting the points of the above values.
See attachment for graph
These shapes are similar. Find x. 4,10,12,2,5 find x
The value of x for the similar shapes with corresponding sides 4, 10 and 12, and the unknown side x and 5 is 6.
We may utilise the requirement that the ratio of corresponding side lengths of similar shapes must be the same to determine the value of x for the similar shapes with corresponding sides 4, 10, and 12, and the unknown side x and 5.
We might start by noting the proportion between the two shapes' longest sides:
12 / x = 10 / 5
Next, let's condense the right side:
10 / 5 = 2
When we add this to the initial equation, we obtain:
12 / x = 2
When we multiply both sides by x, we obtain:
12 = 2x
Divide both sides by 2, and the result is x = 6.
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Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Converting a Percent to a Decimal
a) The percentage is 73%.
b) The ratio is 73:27
d) The decimal form is 0.73
e) The fraction is 73/100
What percentage is shaded?The percentage of the model that is shaded is given by:
P = 100%*(shaded squares)/(total number of squares)
There are 100 squares in total, of these 73 are shaded, then the percentage is:
P = 100%*(73)/100 = 73%
b) The ratio is "shaded squares to non shaded squares"
There are 73 shaded squares and 27 non-shaded ones, then the ratio is 73:27
c) To get the equivalent decimal to a percentage, just divide it by 100%.
p = 73%/100% =0.73
d) The equivalent fraction is the fraction we wrote on the first step, it is:
fraction = 73/100
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Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?
Answer:
I need that answer too
Step-by-step explanation:
Can some one help me???
The unknown sides of the right angle triangle using trigonometric ratios are as follows;
PR = 13.2 units
RQ = 17.6 units
What is a right angle triangle?
A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sides of the triangle can be found using trigonometric ratios.
Therefore,
sin 37° = opposite / hypotenuse
sin 37° = PR / 22
cross multiply
PR = 22 sin 37
PR = 22 × 0.60181502315
PR = 13.2399305093
PR = 13.2 units
cos 37 = adjacent / hypotenuse
cos 37 = RQ / 22
RQ = 22 cos 37
RQ = 17.569981221
RQ = 17.6 units
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Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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HELPPP simplify the following LIKE TERMS-7 - y + 2x + 13y - 10
Answer:
-17 + 12x + 2x
Step-by-step explanation:
\( - 7 - y + 2x + 13y - 10\)
\( - 7 - 10 = - (7 + 10) = - 17\)
\( - 17 - y + 2x + 13y\)
\( - y + 13y = - 1y + 13y = ( - 1 + 13)y = 12y\)
\(\boxed{\green{= - 17 + 12y + 2x}}\)
equation for perpendicular to the line -7x + 3y = -10j contains the point (-2,-4)
Answer:
y = 7/3x + 2/3
Step-by-step explanation:
-7x + 3y = -10
3y = 7x - 10
y = 7/3x - 10/3
-4 = 7/3(-2) + b
-4 = -14/3 + b
2/3 = b
The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False
Answer:
True l True-----------------^~^
What % of 360 is 108?
108/360 x 100% = 30%
ratio of 5/20 to 9/20
Answer:
5:20 to 9:20
Step-by-step explanation:
1/2-1/6
Jzjzhhzhzhzhhz
Answer:
ummm the answer is very simple
The answer is 0/6
Step-by-step explanation:
\( \frac{1}{2 \times 3} - \frac{1}{6} \)
\( \frac{1}{6} - \frac{1}{6} \)
\(1 - 1 = \frac{0}{6} \)
Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
If you flip a coin 6 times, about how many times would you expect to flip a heads or tails?
A. 2
B. 6
C. 8
D. 4
Answer:
well by the wording i would say 6
Step-by-step explanation:
because its head or tails. so 6 flips would be 6
Answer:
Step-by-step explanation:
if you mean heads or tails as in both
B6
HELP! DUE SOON!! SO CONFUSED!!!
Answer: 4.3 meters
Step-by-step explanation:
Let the angle opposite the 3-meter side be \(\alpha\).
Using the Law of Sines,
\(\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})\)
Using the sum of the angles in a triangle, the angle opposite the side \(\ell\) is \(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})\).
Using the Law of Sines,
\(\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3\)
Answer: The correct answer is 4.3
Step-by-step explanation:
This is an Obtuse Scalene Triangle
Side a = 2
Side b = 3
Side c = 4.26571
Angle ∠A = 25°
Angle ∠B = 39.34°
Angle ∠C = 115.66°
Area = 2.70415
Perimeter p = 9.26571
Semiperimeter s = 4.63285
Calculate c, ∠B, and ∠C based on given a, b, and ∠A.
∠B = arcsin(b·sin(A)/a)
= 0.68662 rad = 39.34°
∠C = 180° - A - B = 2.01864 rad = 115.66°
c = a·sin(C)/sin(A) = 4.26571 = 4.3
In order to increase customer service, a muffler repair shop claims its mechanics can replace a muffler in 13 minutes. A time management specialist selected six repair jobs and found their mean time to be 12.3 minutes. The standard deviation of the sample was 2.3 minutes. At α=0.05, is there enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes?
There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:
Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.
Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.
Use the formula to calculate the test statistic,
\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)
where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).
Plugging in the numbers, we get:
t = (12.3 - 13) / (2.3 / √6) = -0.72
Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
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HELP ASAP MARKING BRAINLY You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at church for Easter Sunday services. There are two types of flowers that you are going to be planting. You will be planting some tulips and daffodils. At the store tulips come in packs of 6 and daffodils come in packs of 8.
What is the least amount of packs of daffodils and tulips you would need to buy to have the same amount of each?
How many should you have of each kind of flower?
Each pack of tulips costs $4.50 and each pack of daffodils cost $5.75. From the previous problem, you know how many packs of each you will need. The sales tax is 6.5%.
How much tax will you be paying for all the flowers, to the nearest cent?
How much total will you be paying for all flowers, to the nearest cent?
You remember that you have a discount coupon for $2.75 off before tax.
How much did the flowers cost with the discount including tax (Round to the nearest penny)?
How much money did you save with the coupon including tax?
When you get home to plant the flowers, you have 3 different flowerbeds in which you plan on planting flowers. You have two flowerbeds where you want the same ratio for tulips to daffodils. In one of these flowerbeds you have 6 tulips and 8 daffodils. The other flowerbed you have 4 daffodils.
How many tulips should there be in the second flowerbed to have the same ratio of tulips and daffodils as the first flowerbed?
How many total daffodils are used in these two flowerbeds?
How many total tulips are to be used in these two flowerbeds?
How many of each do we have left to use in the remaining flowerbed?
The flowers are supposed to get 1.5 cups of water per plant. You have a 3-quart water pail.
How many flowers can you water before having to go back to fill up your pail?
After a few days 1/4 of all your tulips and 1/2 of all your daffodils died.
How many tulips and how many daffodils do you need to purchase of each kind of plant to replace the flowers that died?
Next year you want to have 7 more than double the amount of plants you had this year.
How many total plants should you have for next year?
Flowers need nourishment to grow such as sunlight and water. As a Christian, we also need nourishment to grow in our relationship with Christ. What are some ways we as Christians gain nourishment that helps us grow closer to Christ? Include a Bible verse to support your answer. Use at least 2-3 complete sentences for your answer.
Answer:
1. 3 packs of daffodils and 4 packs of tulips
2. then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
theres 3 left. ill let someone else do it
Step-by-step explanation:
3. 4.50*4=18 5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11 2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12 24-9=15
1. 3 packs of daffodils and 4 packs of tulips
2. Then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
What is multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
Given
3. 4.50*4=18
5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11
2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12
24-9=15
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