Answer:
3.75
Step-by-step explanation:
i did the lesson its correct :)
Answer:
Regular Price: 100%
$3.75
Sale price: 40%
$1.50
Discount:
60%
$2.25
Which equation can be used to find the regular price, r, of a taco?
1.5 = 0.4r
Step-by-step explanation:
Read the answers correctly, or you might be typing in the wrong answer.
Everything is all correct, Thank me later :)
I need help plz percent equations the question is blank% of 16 = 12
Answer:
16 x 0,75
(0,75 = 3/4) so you could take 3 x 16 = 48 and then take 48/4 and the answer should be 12 but the percent is 75%
PLEASE HELP!!!! 20 POINTS
Answer:
relative
Step-by-step explanation:
what is the largest possible area for a right triangle in which the sum of the lengths of the two shorter sides is 100 inches
The sum of the lengths of the two shorter sides is 100 inches is the maximum area of the right triangle is: A(50) = 50(50) - (1/2)(50²) = 1250 square inches
We are given that the sum of the lengths of the two shorter sides of a right triangle is 100 inches. Let these lengths be x and y such that x < y. Then, the length of the hypotenuse z of the right triangle is given by the Pythagorean theorem, which states that:z² = x² + y²It follows that z = √(x² + y²)
The area A of the right triangle is given by:A = (1/2) * x * yTherefore, we want to maximize A subject to the constraint x + y = 100 and x < y. We can solve for y in terms of x as follows:y = 100 - xWe can now express the area A in terms of x as follows:A(x) = (1/2) * x * (100 - x)A(x) = 50x - (1/2)x²
The area is a parabolic function of x with a maximum value at the vertex of the parabola. The x-coordinate of the vertex is given by:x = -b/2a = -50/-1 = 50Therefore, the maximum area of the right triangle is:A(50) = 50(50) - (1/2)(50²) = 1250 square inches
Note that the lengths of the shorter sides of the right triangle are x = 50 inches and y = 50 inches, which makes the length of the hypotenuse z = √(50² + 50²) = √5000 = 50√2 inches.
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It took a machine 4 minutes to fill 100 bottles. How long will it take the machine to fill 350 bottles?
Answer:
14 minutes
Step-by-step explanation:
4 x every 100 bottles
100, 200, 300 = 3
4 x 3 = 12
if 4 minutes is for every 100 bottles, then 50 is half of 100. so 4 divided by 2 is 2
12 + 2 = 14
The sides of a regular hexagon is 16ft. What is the area of the hexagon?
Answer:
665.1
Step-by-step explanation:
The formula for an area of a hexagon is \(\frac{3\sqrt{3}}{2}S^{2}\)
the S (side) is 16 so,
\(\frac{3\sqrt{3}}{2}16^{2}\)
=\(\frac{3\sqrt{3} }{2}256\)
=\(3\sqrt{3}\) × 128
= \(384\sqrt{3}\)
round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1
\(384\sqrt{3}\) is 665.10751 as a decimal
665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft
You and your family left the house for a vacation at 8 A.M. You promptly fell asleep in the
car. Upon waking up at 10 A.M., you asked your mother how far you had traveled. She replied that the car had traveled 124 miles. If you continue at this average rate of speed, how far will you have driven in 3 hours and 15 minutes?
Answer:
201 miles.
Step-by-step explanation:
If you've traveled 124 miles in 2 hours, than in one hour must've been 62 miles. 62 multiplied by 3 is 186, which is how much miles have been traveled in 3 hours. Plus the 15 minutes would probably be 201 miles. Hope this helps!
A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.
This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.
- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.
- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
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Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)
Answer:
B. 4400Step-by-step explanation:
-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400Correct option is B.
an element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
Step-by-step explanation:
Total Depreciation: 60.24%
Total depreciation: $9,759.50
Car Value after 6 years: $6,440.50
The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
An element with mass 630 grams decays by 18.8% per minute.
That means, 18.8% = 0.188
Here, we will use the exponential decay function.
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Here,
A₀ = 630 grams
r = 0.188
x = 7 minutes
Substituting the values to the formula,
A₇ = 630(1-0.188)⁷
A₇ = 630(0.812)⁷
A₇ = 630(0.23275134787)
A₇ = 146.633
A₇ = 146.6 grams.
Therefore, element is remaining 146.6 grams.
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2xsquared +6x
Simplified
The simplified representation of the expression given as 2x² + 6x is 2x(x + 3)
How to simplify the expression?From the question, the expression is given as
2xsquared +6x
Rewrite the expression properly
So, we have the following equation
2x² + 6x
Factor out x from the above expression
So, we have the following equation
2x² + 6x = x(2x + 6)
Factor out 2 from the above expression
So, we have the following equation
2x² + 6x = 2x(x + 3)
Hence, the simplified expression of 2x² + 6x is 2x(x + 3)
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Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
A diver jumps off a spring board that is 10 feet above the water. The board throws the diver up with an upward velocity of 9 feet per second. Eventually, gravity over comes the force of the diving board and the the diver begins to come down. The diver is thrown into the air fairly quickly, he slows down until he stops, then begins to come back down (slowly at first, then faster and faster until he hits the water).
The height of any object like the diver that is projected into the air can be modeled with the following function:
h(t) = -16t^2 + v*t + m
In this function:
h(t) is the height of the object t seconds after it was thrown into the air.
t is the number of seconds after the object was thrown in the air.
v is the initial upward velocity (for the diver this was 9 ft per second).
m is the initial height of the object (for the diver this is 10 feet).
Question #1
What does the v*t represent in the case of the diver?
Question #2
What do you think the -16t^2 represents in the case of the diver?
Question #3
How high will the diver be 1 second after he leaves the board (find h(1))?
Question #4 Now
What will h(t) be when the diver hits the water?
Question #5 Now
How long will it take the diver to hit the water (Hint: Put 0 in for h(t), then solve for t)?
The diver will be 3 feet high 1 second after he leaves the board and the diver will hit the water after 1.12 seconds
What does the v*t represent in the case of the diver?The function is given as:
h(t) = -16t^2 + v*t + m
The variable v represents the velocity, while the variable t represents time
So, we have:
v * t = velocity * time
v * t = distance
Hence, v*t in the case of the diver represents distance
What do you think the -16t^2 represents in the case of the diver?We have:
-16t^2
Where
a = -16 --- the acceleration
The variable t represents time
So, we have:
-16t^2 = -16 * time squares
-16t^2 = distance
Hence, -16t^2 in the case of the diver represents distance
How high will the diver be 1 second after he leaves the board?To do this, we calculate h(1).
So, we have:
h(t) = -16t^2 + v*t + m
This gives
h(t) = -16t^2 + 9*t + 10
This gives
h(1) = -16 * 1^2 + 9*1 + 10
Evaluate
h(1) = 3
Hence, the diver will be 3 feet high 1 second after he leaves the board
What will h(t) be when the diver hits the water?Here, we set h to 0
-16t^2 + 9*t + 10 = 0
Using a graphing calculator, we have:
t = 1.12
Hence, the diver will hit the water after 1.12 seconds
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PLEASE HELP Give me an example of a negative correlation
Answer:
Step-by-step explanation:
An example of a negative correlation is tv viewing and student test grades.
Another example is the video game playing and test grades
f(x)=−7x−1
find x if f(x) = -8
Answer:
\(f(x) = - 8 \\ \\ - 7x - 1 = - 8 \\ \\ - 7x = - 8 + 1 \\ \\ - 7x = - 7 \\ \\ 7x = 7 \\ \\ x = \frac{7}{7} \\ \\ x = 1\)
The length of a rectangle is represented by 2n+8, and its width is represented by n-7. Write the polynomial for the perimeter of the rectangle. Write your answer in standard form.
The polynomial for the perimeter of the rectangle can be expressed as P(n) = 2(2n+8) + 2(n-7), which simplifies to P(n) = 4n + 16 + 2n - 14.
Combining like terms, we get P(n) = 6n + 2. Therefore, the polynomial in standard form for the perimeter of the rectangle is P(n) = 6n + 2.
To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The length of the rectangle is represented by 2n+8, so we have 2 sides of length (2n+8). The width of the rectangle is represented by n-7, so we have 2 sides of length (n-7). To calculate the perimeter, we add up the lengths of all four sides: (2n+8) + (2n+8) + (n-7) + (n-7). Simplifying this expression, we get 6n + 2, which is the polynomial in standard form for the perimeter of the rectangle.
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A scale drawing of an elephant shows the animal as 6 inches high and
10.8 inches long. The scale used for the drawing was 3 in..5 ft.
What are the height and length of the actual elephant?
Height:
feet
Length:
feet
Step-by-step explanation:
3 in to 5 ft
so, one basic unit in the drawing is in fact 3 inches.
how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.
6 inches high
6 / 3 = 2
so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.
10.8 inches long
10.8 / 3 = 3.6
so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.
Which of the following could NOT be the lengths of the sides of a triangle?
A.5 in, 5 in, 5 in
B. 10 cm, 15 cm, 20 cm
C. 3 in, 4 in, 5 in
D. 8 ft, 15 ft, 5 ft
Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,
\(5+5=10>5\)
Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,
\(10+15=25>20\)
Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,
\(3+4=7>5\)
Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,
\(8+5=13<15\)
Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.
Find 1 + 3 + 5 + … + 389.
Answer:
The rule is +2
This is the 194th term
Step-by-step explanation:
This is an arithmetic sequence because 2 is added every time.
2x + 1 = 389
2x = 388
x = 194
194* 2 + 1 = 389
mark brainliest please!
Answer:
398 i think
Step-by-step explanation:
assume that there are 10 students in a class. the average grade on a test for the nine of the students is 85. the grade of the tenth student is 90. the average grade for the class will be
Answer:
85.5
Step-by-step explanation:
85 • 9 is 765
If you add 90 to 765 and then divide the sum by 10, you get 85.5.
8a-6=34 can some one help me with this problem it will be really helpful
Answer: The answer is 5
Step-by-step explanation:
8a-6=34
You move constant to the right and you change the sign. Like this: 8a=34+6
Then you calculate it which would be 8a=40
You divide both of the sides so it will give your answer a=5
Pls help with the last question C very urgent and explain the method please 20 POINTS
Answer:
2.432926829 rounded to a significant figure
Step-by-step explanation:
798/(8*41)
798/328=399/164=2 71/164 or approx 2.432926829
Round to a "significant figure."
(I don't know what that's referring to. The nearest whole number is 2.)
An airplane departs airport A at a heading of (N W). After traveling 320 miles, the airplane adjusts its course to (N W) and flies an additional 112 miles to reach airport B.
The shortest distance between airports A and B that can be covered by an airplane flying from airport A at a heading of 300 (N 60 W) is = 401 miles.
What do you mean by law of cosine?The law of cosines, commonly referred to as the cosine rule or the cosine formula, is a trigonometric formula that simply establishes a relationship between the length of a triangle and the cosine of one of its angles. The length of the third side of a triangle can be calculated if we know the lengths of the first two sides and the angle between them.
According to the given information:An aircraft takes off from airport A with a heading of 300 (N 60 W). The aircraft changes its direction to 350 (N 10 W) after flying 320 miles, and after flying an additional 112 miles, it reaches airport B.
Below is an attachment with the problem's image. The two sides in this image are 112 miles and 320 miles apart, and the angle between them is 130 degrees. As a result, x has the value
So, by putting the values we get:
\(x=\sqrt{112^{2}+130^{2}-2(112)(130) \cos 130^{\circ}}\)
x = 401 miles.
Therefore, the shortest distance between airports A and B that can be covered by an airplane flying from airport A at a heading of 300 (N 60 W) is 401 miles.
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5. Given that a + b = 8 and ab = 15, find the value of (a+b)² and a² + b²
Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
------------------------------------------------
(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
Sultan needs enough tents for 28 people to sleep in. Each tent can fit 6 people. How many tents does he need?
Answer:
5 tents
Step-by-step explanation:
1 tent = 6 people
x tent = 28 people
Cross product
1 * 28 = 6 * x
28 = 6x
x = 28/6
= 4.67
Approximately x = 5 tents to an whole number
Therefore, he needs 5 tents for 28 people to sleep in
a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
a man has 32 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 515 cents, how many dimes and how many quarters does he have?your answer is
Answer:
19 dimes and 13 quarters
Step-by-step explanation:
Let's start by defining some variables:Let's call the number of dimes the man has "d".
Let's call the number of quarters the man has "q".We know that the man has 32 coins in total, so we can write:
d + q = 32We also know that the total value of the change is 515 cents. Since dimes are worth 10 cents and quarters are worth 25 cents, we can write an equation for the total value in cents:
10d + 25q = 515
We now have two equations with two variables, which we can solve simultaneously. Let's rearrange the first equation to solve for one of the variables:
d = 32 - q
We can substitute this expression for "d" into the second equation:
10(32 - q) + 25q = 515Simplifying and solving for "q", we get:
320 - 10q + 25q = 515
15q = 195
q = 13
So the man has 13 quarters. We can substitute this value into the first equation to find the number of dimes:
d + 13 = 32
d = 19
Therefore, the man has 19 dimes and 13 quarters.
There are 19 dimes and 13 quarters.
Let x represent the number of dimes and y represent the number of quarters.
There are a total of 32 coins, so:
x + y = 32
We know that the total value of the change is 515 cents
. The value of x dimes is 10x cents and the value of y quarters is 25y cents. So:
10x + 25y = 515
We can simplify the first equation by solving for one variable in terms of the other:
x + y = 32x = 32 - y
Now we can substitute this expression for x into the second equation:
10(32 - y) + 25y = 515
Simplify and solve for y:
320 - 10y + 25y = 515
15y = 195y
y = 13
So there are 13 quarters. We can find the number of dimes by substituting y = 13 into x + y = 32:x + 13 = 32x = 19So there are 19 dimes.
So, There are 19 dimes and 13 quarters.
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What transformations were applied to ABC to obtain A'B'C'?
A. rotate 270 degrees counterclockwise, then shift 2 units down
B. rotate 180 degrees counterclockwise, then shift 2 units up
C. rotate 270 degrees counterclockwise, then shift 2 units up
D. rotate 180 degrees counterclockwise, then shift 2 units down
← PREVIOUS
Answer:
The answer is (D).
Step-by-step explanation:
Answer:
A, Rotate 270 Degrees Counterclockwise, then shift 2 units down.
Step-by-step explanation:
Thanks for showing the picture, :)
You rotate it 270 degrees and imagine it shifting and it looks like it would shift 2 down and it does to fit the new triangle.
the cost of unleaded gasoline in the bay area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. sixteen gas stations from the bay area are randomly chosen. we are interested in the average cost of gasoline for the 16 gas stations. what's the approximate probability that the average price for 16 gas stations is over $4.69? almost zero 0.0142 0.0943 unknown
The approximate probability that the average price for 16 gas stations is over $4.69 is equals to the almost zero. Therefore, correct answer is option (a).
Under statistics, a z-score or standard score is used to identify how far from the population mean a given data point or raw score is. The following variation of the z-score formula,
z= ( x −μ)/σ/√n
Where, x--> observation score
μ-->mean
σ--> standard deviation
n--> number of sample
We have cost of unleaded gasoline in the area once will follow an unknown distribution,
Mean, μ= $4.59
Standard deviations, σ = $0.10
Sample size, n = 16
Observed value, x = $4.69
We have to calculate approximate probability for average price for 16 gas stations is over $4.69, i.e., P(x >4.69). Using the z-score formula,
P( (x −μ)/σ/√n > ( 4.69 - 4.59)/0.10/√16)
=> P(z > (4.69- 4.59)/0.10/√16)
=> P(z > 0.10/0.10/√16)
=> P(z >4) = 1 - P( z< 4)
Using the z-table, the approximate value of P(z < 4 ) is 0.999. Also, P( x> 4.69 )
= P( z>4) = 1 - 0.999 ~ 0.
Hence, required probability is almost zero.
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(e) what is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? (round your answer to four decimal places.)
Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45
we have to integrate with : 2.55 to 3.45
p(3-0.45<X<3+0.45)
P( 2.55<X<3.45)
= [2.7-24.47-24.3+48.609/3]
=0.6325
What is probability:
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
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The question was incomplete. Check below the complete question.
The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.
Which number is rational?
OA. 0.83587643...
B. ♬
OC. 0.333...
ODT
The answer is C 0.333
The number that is rational in the given options is C. 0.333...
What are rational numbers?A rational number is a given number which can be expressed as a fraction, or which has a series of recurring digits on expressing it in decimal. Such that it can be rounded off to a required number of decimal places or significant figure of the recurring digits.
In the given question, comparing the values of the given options, it can be observed that only 0.333... is the rational number. Therefore, the required number that is rational is option C. 0.333...
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Answer:
C. 0.333 is the answer.
Step-by-step explanation: