Answer:
The answer is 3Step-by-step explanation:
\(f(x)=-4x+7\)
To find f(1) , substitute the value of x that's 1 into f(x), that is for every x in f (x) replace it with 1
We have
\(f(1) = - 4(1) + 7 \\ = - 4 + 7 \\ = 3 \: \: \: \: \: \: \: \: \: \: \: \)
We have the final answer as
\(f(1) = 3 \)
Hope this helps you
Multiply or divide as indicated. \(\frac{4x+12}{10} / \frac{2x+6}{6}\)
Answer:
45
Step-by-step explanation:
what’s a problem with no solution
When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.
Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R
a. What is asked?
b. What are given
c. What operation should be used?
d. What is the number sentence?
Show your solution
Answer:
D . what is the number sentence?
I don't understand this.
Answer:
answer is simple
Step-by-step explanation:
you just need to find out solutions by your self
thank me later1 pt) a spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. how rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?
The diameter of the balloon increasing when the diameter is 1.3 feet is
3/2π feet/minute.
Define differentiation.A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.
Given,
Volume of spherical balloon = 4/3πr²
Volume of spherical balloon = 4/3π(D/2)³
Volume of spherical balloon = 1/6πD³
Differentiation:
dV/dt = 1/2πD²dD/dt
dD/dt = 2/πD² × dV/dt
radius = 1
D = 2 feet
dV/dt =3 feet
dD/dt = 2/π2²(3)
dD/dt = 3/2π feet/minute
The diameter of the balloon increasing when the diameter is 1.3 feet is
3/2π feet/minute
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Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
12t – 2 < -5t + 36
Answer:
t < \(\frac{38}{17}\)
Step-by-step explanation:
Given
12t - 2 < - 5t + 36 ( add 5t to both sides )
17t - 2 < 36 ( add 2 to both sides )
17t < 38 ( divide both sides by 17 )
t < \(\frac{38}{17}\)
Answer:
Step-by-step explanation:
12t - 2 < -5t + 36
17t < 38
t < 38/17
Select the third function, y = 2 cos(x), and set the interval to [−4.02, 4.02]. (a) With 10 rectangles using left endpoints, how many rectangles are contributing negative area values to the estimated net area? Correct: Your answer is correct. How many are positive? Is this the same as when using midpoints? (b) What is the error when using midpoints with 10 subintervals? (Do not round your answer.)
(a) With 10 rectangles using left endpoints, 5 rectangles are contributing negative area values to the estimated net area. This means that the function is below the x-axis in those intervals.
The remaining 5 rectangles are contributing positive area values, as the function is above the x-axis in those intervals.
When using midpoints, the number of positive and negative rectangles may not be the same. It depends on the behavior of the function within each subinterval. The use of midpoints can result in a different distribution of positive and negative rectangles compared to using left endpoints.
(b) The error when using midpoints with 10 subintervals can be determined by calculating the difference between the estimated net area using midpoints and the actual net area.
To calculate the error, we need to evaluate the definite integral of the function over the given interval and subtract the estimated net area using midpoints.
Error = Actual Net Area - Estimated Net Area using Midpoints
Since the exact values are not provided, the specific error value cannot be determined without further information or calculations.
Using left endpoints with 10 rectangles, 5 rectangles contribute negative area values and 5 contribute positive area values. When using midpoints, the distribution of positive and negative rectangles may differ. The error when using midpoints can be calculated by subtracting the estimated net area using midpoints from the actual net area, but the exact error value cannot be determined without further information or calculations.
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10 Explain whether her friends' zombie trick helped the main character feel
mentally prepared for the "Zombie 5K. " Use evidence from the text to support
your answer.
The evidence from the text suggests that the zombie trick helped the main character feel mentally prepared for the "Zombie 5K" event.
The main character initially expresses doubts about her ability to complete the race. She says, "I was worried that I wouldn't be able to finish the Zombie 5K. I wasn't very confident in my running abilities, and I was afraid I would get too scared by the zombies." This shows that she lacked confidence and had fears about the event.
However, after her friends played the zombie trick on her, the character's mindset changed. She says, "After the zombie trick, I felt more prepared to face the real zombies during the race. I knew it was just a trick, but it helped me overcome my fears and feel more confident." This suggests that the zombie trick had a positive impact on her mental preparation for the race.
Furthermore, the character's behavior during the race supports this idea. She describes how she used strategies to avoid the zombies and successfully completed the race. She says, "I made sure to stay aware of my surroundings and avoid the zombies as best as I could.
I kept reminding myself that they were just people in costumes, and that helped me stay focused on finishing the race." This shows that the character was mentally prepared for the race and able to perform well despite the challenges.
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Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
Answer:
-1/√2
Step-by-step explanation:
According to trigonometry identity
cos(A+B) = cosAcosB - sinA sinB
Given the expression
(cos92°)(cos133°)-(sin92°)(sin133°)
This can be expressed as cos(92+133) where A = 92, B = 133
(cos92°)(cos133°)-(sin92°)(sin133°)
= cos(92+133)
= cos225
= -0.7071
= -1/√2
Hence the exact value is -1/√2
A book store is hosting a special night in which families can enjoy a story and craft time. Tickets to the event must be purchased ahead of time and are $1.50 for children and $2.50 for adults. So far, 45 children's tickets have been sold, which is 60% of the total tickets sold. How many tickets have been sold so far? Show your calculations or explain how you got your answer.
Need help pls
A book store is hosting a special night in which families can enjoy a story and craft time. The ticket have been sold so far would be 75.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have given that 45 children's tickets have been sold, being 60% of the total tickets having been sold.
So, we have to solve for x:
60% × x = 45
60/100 × x = 45
Multiplying both sides by 100 and dividing both sides by 60,
x = 45 × 100/60
x = 75
Thus, the ticket have been sold so far would be 75.
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Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6
if the null hypothesis is rejected in hypothesis testing, no conclusions can be drawn from the test. the sample size has been too small. the alternative hypothesis is true. the data must have been accumulated incorrectly.
if the null hypothesis is rejected in hypothesis testing the alternative hypothesis is true.
The relationship between important factors of interest and any apparent connection, according to a competing theory, is most certainly not accidental. The opposite of a null hypothesis is an alternative hypothesis. If we are able to rule out the null hypothesis, it signifies that we have enough data to support the alternative hypothesis. In one test, we cannot rule out both possibilities.
If one is disproven, it indicates that there is evidence to support the other. The opposing view is that a study's potential conclusion will materialize. It claims there is no coincidence in the relationship between important components of interest and the observed connection. As a result, the alternative hypothesis is true if the null hypothesis is disproved during hypothesis testing.
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This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
Responses
x = 33 because 180−147=33
x, = 33 because , 180 minus 147 equals 33
x = 62 because 147−85=62 and 85 + 62 = 147
x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct
What is a triangle?In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°
Given that,
A triangle, which has one interior angle 85° and one exterior angle 147°
Another exterior angle x = ?
It is already known that,
Sum of complementary angles are 180
So,
⇒ Y + 147 = 180
⇒ Y = 180 - 147
⇒ Y = 33
sum of all the interior angles of the triangle is 180°
X + Y + 85 = 180
X = 180 - 85 - 33
X = 62
Hence, the value of x is 62
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evaluate the double integral. d (2x y) da, d = {(x, y) | 1 ≤ y ≤ 2, y − 1 ≤ x ≤ 1}
the value of the double integral is 5/6.
We are given the double integral:
∫∫d (2xy) dA
where d = {(x, y) | 1 ≤ y ≤ 2, y − 1 ≤ x ≤ 1}
We can evaluate this integral by integrating over the given region d:
∫1^2 ∫y-1^1 2xy dxdy
Integrating with respect to x first, we have:
∫1^2 ∫y-1^1 2xy dx dy
= ∫1^2 [x^2y]y-1^1 dy
= ∫1^2 [2y - 2y^3] dy
= [y^2 - (1/2)y^4]1^2
= (4 - 8/3) - (1 - 1/2)
= 5/6
what is double integral?
A double integral is an integral with two variables, which is used to calculate the signed volume between a surface defined by a function f(x, y) and the xy-plane over a region in the xy-plane. The region is usually a rectangle, but it can be any two-dimensional shape.
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He wins 5 games out of every 13 games. If he plays 78 games, how many would we expect him to win?
- - - - - - - - - - - - - - - - - - - - - - - - - - -
If 'he' wins 5 out of 13 games, that's an immediate ratio of 5:13.
- - - - - - - - - - - - - - - - - - - - - - - - - - -
Let's call him Max :)
Okay, now for the math.
I'm going to try a number line- but first, we have to know how many times 13 goes into 78.
- - - - - - - - - - - - - - - - - - - - - - - - - - -
78 / 13 = 6
So now we multiply the ratio (5:13) by six...
30:78
That's the answer!
- - - - - - - - - - - - - - - - - - - - - - - - - - -
Good luck!
~pinetree
what is the value of 350 - 30(-14 + 3.5)
Answer:
665
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Answer:
665
Step-by-step explanation:
350 - 30( - 14 + 3.5) ← evaluate the parenthesis
= 350 - 30( - 10.5) ← distribute parenthesis by - 30
= 350 + 315
= 665
The Rogers family and the Reed family each used their sprinklers last summer. The Rogers family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 30 hours. There was a combined total output of 1050L of water.
Required:
What was the water output rate for each sprinkler if the sum of the two rates was 45L per hour?
The water output rate for Reed's sprinkler is 25L/hour. We have to find the water output rate for each sprinkler if the sum of the two rates was 45L per hour. We know that the Rogers family sprinkler was used for 15 hours and the Reed family sprinkler was used for 30 hours.
Therefore the combined time the two sprinklers were used for was:15 + 30 = 45 hours
Therefore, The Rogers family's sprinkler output rate: r₁
The Reed family's sprinkler output rate: r₂
Given that the sum of the two rates was 45L per hour: r₁ + r₂ = 45 -----Equation (1)
Now, let's calculate the water output of each sprinkler using their respective times:
Water output of Rogers' sprinkler = r₁ × 15
Water output of Reed's sprinkler = r₂ × 30
The total output was 1050L:
r₁ × 15 + r₂ × 30 = 1050 -----Equation (2)
We have two equations and two variables. We will solve for r₁ and r₂ :
r₁ + r₂ = 45r₂ = 45 - r₁
Substituting the value of r₂ in equation (2), we get:
r₁ × 15 + (45 - r₁) × 30 = 105015r₁ + 1350 - 30r₁
= 1050-15r₁
= -300r₁
= 20r₂
= 45 - r₁
= 45 - 20 = 25
Therefore, The water output rate for Rogers' sprinkler is 20L/hour.
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In parallelogram MNPQ if QR=5 find RN.
Answer:
RN=5
Step-by-step explanation:
QR is congruent to RN therefore they are the same length
6=x+2÷3 how to solve for x
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\(6 = \frac{x + 2}{3} \\ \)
\( \frac{x + 2}{3} = 6 \\ \)
Multiply sides by 3
\(3 \times \frac{x + 2}{3} = 3 \times 6 \\ \)
\(x + 2 = 18\)
Subtract sides 2
\(x + 2 - 2 = 18 - 2\)
\(x = 16\)
Done...
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evaluate the expression when c=2. 6c/2
Answer:
6Step-by-step explanation:
Given the expression g(c) = 6c/2, we are to find the value when c = 2
Substitute c = 2 into the expression
g(2) = 6(2)/2
g(2) = 12/2
g(2) = 6
Hence the result when c = 2 is 6
ari thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. freeze zone makes batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel. what will ari think about the amount of caramel in freeze zone's milkshakes?
Answer:
Step-by-step explanation:
Since we have been given that
Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .
Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.
As per Ari,
For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel
For each 1 scoop of frozen yogurt, he wants
3 ounces of Caramel
For each 8 scoops of frozen yogurt, he wants
3/5 * 8 = 24/5= 4.8 ounces
In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.
Answer:
Step-by-step explanation:
5456
Here is a distribution of quiz scores for a statistics course: 87, 91, 74, 73, 80, 84, 68, 75 what is the standard deviation?
The standard deviation is 7.35.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group
In order to determine the standard deviation, take the following steps:
Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79
Determine the difference between each value and the mean and then square the result:
(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)² + (84- 79)² + (68 - 79)² +( 75- 79) ²
64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432
Determine the mean of the sum of the squared differences and then find the square root of the mean:
√432 / 8 = 7.35
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3.5z - 2.7z = -6
z = ?
Answer:
i believe it would be z = -7.5
Step-by-step explanation:
Answer:
-7.5
Step-by-step explanation:
Subtract 2.7z from 3.5z
0.8z= -6
divide each term by 0.8 - 0.8 divided by 0.8- -6 divided by 0.8
Cancel the common factor of 0.8
divide -6 by 0.8
Z= -7.5
Sasha had 82¢ until she spent 3 nickels. How much money does Sasha have now?
The answer is 67¢
I hope this helped
-0229
Answer:
67¢
Step-by-step explanation:
1 nickel = 5¢, so 3 nickels = 3 × 53 × 5 = 15¢"Spent" means subtraction or take away, so when it says 82¢ until she spent 3 nickels, it means she subtracted 3 nickelsFollowing what we said above, re-write the expression: 82¢ - 15¢82 - 15 = 67¢I hope this helps!
16% of 23
please helpppppp
1% of the same number is 4.6
Answer:
3.68
Step-by-step explanation:
Make 16% a decimal then multiply by 23
.16*23=3.68
A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Answer:
48ft
Step-by-step explanation:
Distance of car A from the towerConsider ∆ACD tan25 = 50/AC AC = 50/tan25 = 50/0.4663 = 107.2 ft Distance of car B from the towerConsider ∆BCD tan40 = 50/BC AC = 50/tan40 = 50/0.8391 = 59.6 ftDistance from cars A and B AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ftBrian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
Describe the possible lengths of the third side of a triangle if the two given sides are 6 inches and 9 inches long.
Recall that for a, b, and c to be the lengths of a triangle they must satisfy the following inequalities:
\(\begin{gathered} a+b>c, \\ a+c>b, \\ b+c>a\text{.} \end{gathered}\)Therefore, if we call the other side x, it must satisfy that:
\(\begin{gathered} 6+x>9, \\ 9+x>6, \\ 9+6>x\text{.} \end{gathered}\)Solving each inequality for x, we get:
\(\begin{gathered} x>9-6=3, \\ x>6-9=-3, \\ 15>x\text{.} \end{gathered}\)Therefore, x must be greater than 3 inches but less than 15 inches.
Answer: The possible lengths of the third side must be greater than 3 inches but less than 15 inches
carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle. autos arrive following a poisson distribution at the rate of 10 per hour. carl wants to know:
Based on the given information, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 10 per hour. Using this information, Carl can calculate the expected time it would take to wash a car.
The first step is to calculate the average time between car arrivals, which is equal to 60 minutes divided by the arrival rate of 10 cars per hour, giving an average time of 6 minutes per car. Since the wash cycle time is constant at 4.5 minutes, Carl can add these two values together to get an expected wash time of 10.5 minutes per car.
However, it's important to note that this is just an expected time, and there may be variations due to factors such as queue length, equipment malfunctions, or other unforeseen circumstances. Therefore, Carl should regularly monitor his car wash operation and make adjustments as necessary to ensure efficient and consistent service.
In summary, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle, and with autos arriving at a rate of 10 per hour, the expected time it would take to wash a car is 10.5 minutes.
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can someone help me please
Answer:
D) Y=X-9
Step-by-step explanation:
For x=1
Y=1-9=-8
For x=8
Y=8-9=-1
...and so on for each value of x.