A department store buys 400 shirts at a cost of $9,600 and sell them at a selling price of $30 each.
Answers
Answer: where’s the question? You didn’t write any questions:c
Step-by-step explanation:
The percent markup on each shirt is 25%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a department store buys 400 shirts at a cost of $9,600
So, the cost of each each shirt is 9600/400
= $24
Selling price of each shirt is $30
Now, markup price is 30-24=6
So, the percent markup
= 6/24 ×100
= 25%
Therefore, the percent markup on each shirt is 25%.
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"Your question is incomplete, probably the complete question/missing part is:"
A department store buys 400 shirts at a cost of $9,600 and sell them at a selling price of $30 each. Find the percent markup.
Related Questions
Solve 2x+y=7 for y .
i find these difficult :(
y=______
Answers
Find the seventh term of the sequence which has a first term of 1/2 and has a common ratio of three
Answers
The seventh term of the sequence is 364.5
Geometric progressionFrom the question, we are to determine the seventh term of the sequence
Using the formula,
\(a_{n} = ar^{n-1}\)
Where \(a_{n}\) is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,
\(a_{7} = (\frac{1}{2}) 3^{7-1}\)
\(a_{7} = (\frac{1}{2}) 3^{6}\)
\(a_{7} = \frac{1}{2} \times 729\)
\(a_{7} = 364\frac{1}{2} \ OR \ 364.5\)
Hence, the seventh term of the sequence is 364.5
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What is the slope of this line? Plz help asap
Answers
find the radius of convergence of the taylor series around x = 0 for ex.
Answers
The radius of convergence of the Taylor series for the exponential function, e^x, centered at x = 0, is infinite.
The Taylor series expansion for the exponential function, \(e^x\), around x = 0 is given by the formula:
\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...\)
This series converges for all values of x because the terms in the series decrease in magnitude as the exponent increases. This means that as x approaches infinity or negative infinity, the terms in the series approach zero.
The convergence of a power series is determined by the ratio test or the root test. In the case of the exponential function, both tests yield a radius of convergence of infinity. This indicates that the series converges for all values of x. Therefore, the Taylor series expansion of e^x around x = 0 is valid for all real numbers x.
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The drug warfarin, an anticoagulant, is metabolized by the body and leaves at a rate proportional to amount still in the body. Use this fact in both parts (a) and (b) below.
(a) If a patient, who has no Warfarin in his system, is given a pill containing 2.5 mg of Warfarin, write a differential equation for the quantity Q(t) (in mg) of warfarin in the body t hours later. Be sure to include an initial condition.
(b) A second patient, who has no Warfarin in her system, is given Warfarin intravenously at a rate of 0.5 mg/hour. Write a differential equation for the quantity Q(t) (in mg) of warfarin in the body of this patient t hours later. Be sure to include an initial condition.
*This is the problem, there is no more information provided.
These are my answers, just want to make sure they are right:
(a) Q' = -2.5Q Q(0) = 0
(b) Q' = 0.5Q - 2.5Q Q(0) = 0
Answers
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
a) The differential equation expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is suffering from Warfarin is given a pill containing 2.5 mg of Warfarin then,
dQ/dt = -kQ
here Q(0) = 2.5
b) The differential equation the expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin is given a pill containing 0.5 mg/hr then,
dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:
Q' = 0.5 - kQ, where Q(0) = 0
Where k is the proportionality constant for the rate of elimination.
Explanation
(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:
Q'(t) = -kQ(t)
Given that the initial condition is a 2.5 mg pill, the initial condition should be:
Q(0) = 2.5
So the differential equation for part (a) is:
Q'(t) = -kQ(t), Q(0) = 2.5
(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:
Q'(t) = 0.5 - kQ(t)
The initial condition is still that the patient has no warfarin in her system:
Q(0) = 0
So the differential equation for part (b) is:
Q'(t) = 0.5 - kQ(t), Q(0) = 0
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what is 2X ( 3)+( 1)+( 2)+=
Answers
Step-by-step explanation:
work out the brackets first
2. If f(x) = 2x2 – 7x -10, find the following: a) f(x-1) b) x, if f(x) = 5 Please helpppppp
Answers
Answer:
a) f(x-1) = 2x^2-11x-1
b) x = -1.5 or 5
Step-by-step explanation:
a) To get f(x-1)
We proceed to substitute x-1 for x as follows
f(x-1) = 2(x-1)^2 -7(x-1) -10
f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10
f(x-1) = 2x^2 -4x + 2 -7x + 7-10
f(x-1) = 2x^2-11x-1
b) What we have to do here is substitute 5 for f(x) and solve for x
5 = 2x^2 -7x-10
2x^2 -7x -10-5 = 0
2x^2 - 7x - 15 = 0
2x^2 -10x + 3x -15 = 0
2x(x-5) + 3(x-5) = 0
(2x + 3)(x-5) = 0
2x + 3 = 0 or x -5 = 0
2x = -3 or x = 5
x = -3/2 or x = 5
x = -1.5 or 5
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint
A. how many cups of red paint should be added to one cup of white paint?
B. What is the consistent of proportionality?
Answers
A) One cup of white paint requires 3/7 cups of red paint.
B) The constant of proportionality is 7/3.
What is the Constant of Proportionality?The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.
Given:
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
So,
7 cups of white paint are needed for every 3 cups of red paint
One cup of white paint requires 3/7 cups of red paint.
To calculate the constant of proportionality, we find the ratio of the white and red paints which is
Cups of white paint: Cups of red paint = 1: 3/7 = 7/3
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n the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?
Answers
Answer:
12.5%
Step-by-step explanation:
900 - 800 = 100
Gotta pay $100 more
100 / 800 = 0.125
the nth term of a sequence is n²+20
work out the first 3 terms of the sequence
Answers
The first 3 terms of the sequence are 21, 24 and 29
Working out the first 3 terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
n² + 20
This means that
f(n) = n² + 20
The first 3 terms of the sequence is when n = 1, 2 and 3
So, we have
f(1) = 1² + 20 = 21
f(2) = 2² + 20 = 24
f(3) = 3² + 20 = 29
Hence, the first 3 terms of the sequence are 21, 24 and 29
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I’m a bit stuck can someone help me please
Answers
Answer:
x < 6/5 and x > 32/5
Step-by-step explanation:
|x| means taking the absolute value, or the distance from 0. This means that |-8| = 8, because -8 is 8 from 0
if |14-5x|>8, 14-5x > 8, or 14-5x < -8 because the absolute value of any number less than -8 is more than 8
for 14 - 5x > 8, -5x > -6, 5x < 6, x < 6/5
for 14 - 5x < -8, -5x < -32, 5x > 32, x > 32/5
A circle with centre C(-3, 2) has equation x² + y² + 6x - 4y = 12 (a) Find the y-coordinates of the points where the circle crosses the y-axis. (b) Find the radius of the circle. (c) The point P(2,5) lies outside the circle. (i) Find the length of CP, giving your answer in the form √n, where n is an integer. (ii) The point Q lies on the circle so that PQ is a tangent to the circle. Find the length of PQ.
Answers
a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.
(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:
0² + y² + 6(0) - 4y = 12
y² - 4y = 12
y² - 4y - 12 = 0
To solve this quadratic equation, we can factor it:
(y - 6)(y + 2) = 0
Setting each factor to zero, we find two possible values for y:
y - 6 = 0 => y = 6
y + 2 = 0 => y = -2
Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).
(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:
x² + y² + 6x - 4y = 12
(x² + 6x) + (y² - 4y) = 12
(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25
Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.
Therefore, the radius of the circle is 5.
(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates into the formula, we have:
CP = √((2 - (-3))² + (5 - 2)²)
= √(5² + 3²)
= √(25 + 9)
= √34
Therefore, the length of CP is √34.
(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.
Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.
Therefore, the length of PQ is equal to 2 times the length of CP:
PQ = 2 * CP
= 2 * 5
= 10
Therefore, the length of PQ is 10.
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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Answers
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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Evaluate for the given value of the variable
Answers
Step-by-step explanation:
Example, i have 1 equation and i want to find x
2x - 1 = 5
2x = 5 + 1
2x = 6
x = 6/2
x = 3
So, value of x is 3
what is the measure of angle A
Answers
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
9. X - 5 = -8
11. y + 13 = 0
Answers
Answer:
x= -3
y = 13/11
whole thing solved:
(-3, 13/11)
x=-3,y=-13/11
Distance Conversions The United States, Liberia, and Myanmar are the only three countries that have not adopted the metric system as its primary system of measurement. There have been reports and legislation calling for a conversion to the metric system since the 1960s. The U.S. Department of Commerce's National Institute of Standards and Technology wrote that "industrial and commercial productivity, mathematics and science education, and the competitiveness of American products and services in world markets, will be enhanced by completing the change to the metric system of units" (1997, 2). From a student's perspective, it would be better if the U.S. converted to the metric system. Because scientists globally use the metric system, most of U.S. scientists do, as well. Until the U.S. "metrifies", students in the United States will need to continue to use and understand both measurement systems. 6. Refer to Appendix 2.1. Show your calculations for the following questions. 33 | Lab 2: Map Interpretation a. 2 miles contain how many feet? b. 1 mile contains how many inches? c. 10 kilometers contain how many meters? d. 1 kilometer contains how many centimeters? e. How many miles are in a "5k" (five-kilometer) race? f. A marathon is 26.2 miles. How many kilometers is this?
Answers
Answer:
a. 10560
b. 63360 in.
c. 10000 m
d. 100000 cm
e. 3.107 miles
f. 42.165 km
Step-by-step explanation:
a. 2 miles contain how many feet?
1 mile = 5280 ft
2 miles × 5280 ft / mile = 10560 ft
b. 1 mile contains how many inches?
1 ft = 12 in
1 mile × 5280 ft/mile × 12 in./ft = 63360 in.
c. 10 kilometers contain how many meters?
1 km = 1000 m
10 km × 1000 m/km = 10000 m
d. 1 kilometer contains how many centimeters?
1 km × 1000 m/km × 100 cm/m = 100000 cm
e. How many miles are in a "5k" (five-kilometer) race?
1 in. = 2.54 cm
5 km =
= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)
= 3.107 miles
f. A marathon is 26.2 miles. How many kilometers is this?
26.2 miles =
26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km
lia has taken a mathematics exam, and she wants to calculate an 88% confidence interval to represent the exam scores within her group of friends. what are the z statistics that fall at each line marking the middle 88% of scores in the distribution?
Answers
In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).
In a case of seeking 88% confidence interval, the implication is that there is 12% chance that the interval does not contain the true value i.e., α=0.12 Assuming a two-sided test, it means that there should be 6% chance attributed to each tail of the z statistics (distribution). Thus, zα/2= z0.06.This z value at α/2=0.06 is the coordinate of the Z-curve that has 6% of the distribution's area to its right, and thus 94% of the area to its left. It is determined by z-value by reverse-lookup in a z-table. Find the closest value in the table to 0.9400 as possible, then see what its row and column is. From observation, it is seen that 0.9394 and 0.9406 are in the table with z -values of 1.55 and 1.56 respectively.We use liner interpolation to find the experimental z-score:0.9400 is (0.9400-0.9406)/(0.9394-0.9406) = ½ way from 0.9406 to 0.0394So, the z-score for 0.9400 is approximately ½ way from 1.56 to 1.55, hence
Z score = 1.56+((1.55-1.56)*1/2 = 1.5550
Hence the z score = 1.5550
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What is the approximate length of the radius, r? a. 4.5 cm b. 9.0 cm c. 14.2 cm d. 28.3 cm
Answers
The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.
In the given question we have to find the approximate length of the radius, r.
As given, circle O has a circumference of approximately 28.3 cm.
The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.
The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.
As we know that the formula of circumference of circle = 2πr
As circumference of circle = 28.3 cm
So 2πr = 28.3 cm
Divide by 2π on both side, we get
r = 14.15/π
π = 3.14
So r = 14.15/3.14
r = 4.51 cm
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The complete question is:
Circle O has a circumference of approximately 28.3 cm.
What is the approximate length of the radius, r?
a. 4.5 cm
b. 9.0 cm
c. 14.2 cm
d. 28.3 cm
The approximate length of the radius, r, is 4.5 cm.
The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.
Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.
Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.
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The system of equations y = negative 3 x + 2 and y = one-half x minus 6 is shown on the graph below.
On a coordinate plane, 2 lines intersect around (2.3, negative 4.75).
What is a reasonable estimate for the solution?
Answers
Answer:
(2.3, 4.75)
Step-by-step explanation:
The point where 2 lines intersect is the solution to the system of equations.
Answer:
a
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider quadrilateral EFGH on the coordinate grid.
-6
E
-4
1
LL
F
>+
Y
6-
2-
O
-4-
-6-
H
-N
G
05.
6
In quadrilateral EFGH, sides FG and EH are
are
X
because they
The area of quadrilateral EFGH is closest to
✓square units.
Sides EF and GH
First box ( not congruent, congruent).
Second box ( each have a length of 5.83, each have a length of 7.07, have different lengths)
Third box ( not congruent, congruent with lengths of 4.24, congruent with length of 5.83)
Fourth box (41, 34, 25, 30)
Answers
In quadrilateral EFGH, sides FG and EH are congruent because they each have a length of 7.07. Sides EF and GH are not congruent. The area of quadrilateral EFGH is closest to 41 square units.
How to calculate the distance between the two points?For the width, we would determine the distance between the vertices F (-1, 4) and G(4, -1)
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance FG = √[(4 - (-1))² + (-1 - 4)²]
Distance FG = √[5² + (-5)²]
Distance FG = √50
Distance FG = 7.07 units.
Distance EH = √[(1 - (-4))² + (-4 - 1)²]
Distance EH = √[5² + (-5)²]
Distance EH = √50
Distance FG = 7.07 units.
For the length, we would determine the distance between the vertices E (-4, 1) and F (-1, 4)
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance EF = √[(-1 - (-4))² + (4 - 1)²]
Distance EF = √[3² + (3)²]
Distance EF = √9
Distance EF = 3 units.
Distance HG = √[(4 - 1)² + (1 - (-4))²]
Distance HG = √[3² + (5)²]
Distance HG = √34 units.
Mathematically, the area of a rectangle can be calculated by using this formula:
Area of rectangle = length × width
Area of rectangle = √34 × 7.07
Area of rectangle = 41.22 square units.
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10. Shown is a circle centre o
BC and D are points on the circumference
ABO S a straight line
AC is a tangent to the circle.
320
A. Find the mZAOC
B. Find the mZBDC
C. Find the mZACD
Answers
AB is a a straight line and AC is a tangent to the circle, then the
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
According to the figure,
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
What is the tangent of the circle?It is the line which intersects the circle exactly at one point.
(a) Find m ∠AOC
Sum of three angles of a triangle is = 180°
So, in Triangle AOC = 180°
∠A + ∠O + ∠C = 180°
See in Image, ∠A and ∠C are 90° and 32°
∠A + ∠O + ∠C = 180°
We can substitute these values,
∠O = 180 - ∠A - ∠C
∠O = 180 - 90 - 32
∠O = 58°
∠AOC = 58°
(b) ∠BDC is a parallelogram,
So,
Opposite angle is equal,
∠BDC = ∠ABC
∠BDC = 32° ( since ∠ABC = 32° )
(c) Find m ∠ACD
Sum of three angles of a triangle is = 180°
So, in Triangle ACD = 180°
∠A + ∠C + ∠D = 180°
See in Image, ∠A and ∠D are 90° and 32°
∠A + ∠D + ∠C = 180°
We can substitute these values,
∠C = 180 - ∠A - ∠D
∠C = 180 - 90 - 32
∠C = 58°
Now,
∠ACD = 90 + 58
∠ACD = 148°
Therefore,
The circumference of tangent to the circle,
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
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The accompanying diagram shows a ramp 16 feet long leaning against a
wall at a construction site. If the ramp forms an angle of 18° with the
ground, how high above the ground, to the nearest tenth, is the top of
the ramp?
16 ft
18°
PREVIOUS ANSWER
20.5.
Answers
Answer:
Approximately 4.9ft
Step-by-step explanation:
For this we're going to use trigonometry (specifically SOH CAH TOA)
Because we're finding the opposite and we have the hypotenuse, we will use the sin function (make sure your calculator is in degrees!!!)
sin=O/H
Plugging in:
sin(18)=O/16
Solving:
16sin(18)=O, or approximately 4.9ft.
Which inequality is represented by this graph?
Answers
The linear equality for the given graph is x > 0.
Option (B) is correct.
What is linear equality?
In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.
So we can prepare the linear equality as
x > 0
Hence, the linear equality for the given graph is x > 0.
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We know that 74.94 * 1000= because the number 10 with a 3 exponent has_____zeros when it is written without an exponent.
Answers
The original equation provided (74.94 * 1000), we can see that multiplying 74.94 by 1,000 is equivalent to adding three zeros to the end of the number. Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. So, the answer to the equation is simply 74,940.
we need to understand the concept of exponents and how they relate to the number of zeros in a number. An exponent is a way of showing how many times a number should be multiplied by itself. For example, 10 raised to the power of 3 (written as 10^3) means 10 multiplied by itself three times, which is equal to 1,000.
Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. When this number is written without an exponent, we can simply write it as 1 followed by three zeros, which is 1,000. Therefore, the answer to your question is that the number 10 with a 3 exponent has three zeros when it is written without an exponent.
When you multiply 74.94 by 1000, you are essentially moving the decimal point three places to the right because the number 10 with a 3 exponent (10^3) has three zeros when it is written without an exponent.
1. Identify the number to be multiplied (74.94) and the exponent of 10 (3).
2. Convert 10^3 to its standard form, which gives us 1000 (three zeros).
3. Move the decimal point of the number (74.94) three places to the right due to the three zeros in 1000.
So, 74.94 * 1000 = 74940.
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The original equation provided (74.94 * 1000), we can see that multiplying 74.94 by 1,000 is equivalent to adding three zeros to the end of the number. Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. So, the answer to the equation is simply 74,940.
The concept of exponents and how they relate to the number of zeros in a number. An exponent is a way of showing how many times a number should be multiplied by itself. For example, 10 raised to the power of 3 (written as 10^3) means 10 multiplied by itself three times, which is equal to 1,000.
Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. When this number is written without an exponent, we can simply write it as 1 followed by three zeros, which is 1,000. Therefore, the answer to your question is that the number 10 with a 3 exponent has three zeros when it is written without an exponent.
When you multiply 74.94 by 1000, you are essentially moving the decimal point three places to the right because the number 10 with a 3 exponent (10^3) has three zeros when it is written without an exponent.
1. Identify the number to be multiplied (74.94) and the exponent of 10 (3).
2. Convert 10^3 to its standard form, which gives us 1000 (three zeros).
3. Move the decimal point of the number (74.94) three places to the right due to the three zeros in 1000.
So, 74.94 * 1000 = 74940.
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Compare the two groups of data. Which statement is true?
A)
the spread of data for Brand A and Brand B are equal
B)
the spread of data for Brand A is 2 chocolate chips greater than Brand B
the spread of data for Brand A is 4 chocolate chips greater than Brand B
D)
the spread of data for Brand A is 6 chocolate chips greater than Brand B
Answers
Answer: A
Step-by-step explanation:
That should be the answer
The speed of light is 3.0 10 kilometres per second (km/sec). The average distance from the
Sun to the Earth is 1.496 % 10% km. Calculate the time, in minutes, it takes for light from the
Sun to reach the Earth.
Remember to round your answer to 3 significant figures.
Answers
If the distance covered by an object in time t is given by s(t)=t²+5t
, where s(t) is in meters and t is in seconds, what is the distance covered in the interval between 1 second and 5 seconds?
Answers
s(1) = 1^2 + 5(1) = 1 + 5 = 6 (m/s)
s(5) = 5^2 + 5(5) = 25 + 25 = 50 (m/s)
Therefore the distance covered would be:
50 - 6 = 44m/s
The distance in the interval between 1 second and 5 seconds where the distance covered by an object is s(t) = t^2 + 5t is 44m/s
Please help asap! This is due soon and i don’t know what I’m doing
Answers
Answer: B
Step-by-step explanation:
What you are actually paying is 100%-20% = 80%
So it's 80% of the price =
.8p
Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Answers
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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