Simon measures the length of an insect that is 2.5 inches long for a science
project. He needs to record his data in centimeters. How long is the insect
in centimeters?
If the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
Given,
The length of the insect = 2.5 inches
Convert inches to centimeter
We know,
1 inches = 2.54 centimeter
2.5 inches = 2.54× 2.5
=6.35 centimeter
Hence, if the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
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Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock X, which costs $22 per share and Stock Y, which costs $35 per share. His budget for buying stock is no more than $4,500. He must buy at least 20 shares of Stock X and 15 shares of Stock Y. Which of the following represents the situation described if a is the number of shares of Stock X purchased and b is the number of shares of Stock Y purchased?
The option which represents the situation described if a is the number of shares of Stock X purchased and b is the number of shares of Stock Y purchased is:
D. 22a + 35b ≤ 4,500
a + b ≥ 100
a ≥ 20
b ≥ 15
What does at least and no more than mean in this instance?
At least is interpreted in inequalities as greater than or equals to whereas "no more than" implies that it cannot be greater, hence, can be less than or equals to, as a result, the following relationships are determined:
a≥20(the least number of X shares is a, which is 20)
b≥ 15(the least number of Y shares is a, which is 15)
total amount spent on X=22*a=22a
total amount spent on Y=35*b=35b
maximum amount to invest=4500(less than or equals to)
22a+35b≤ 4500
sum of X and Y shares altogether(least)=100
a+b≥100
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Full question:
Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock X, which costs $22 per share and Stock Y, which costs $35 per share. His budget for buying stock is no more than $4,500. He must buy at least 20 shares of Stock X and 15 shares of Stock Y. Which of the following represents the situation described if a is the number of shares of Stock X purchased and b is the number of shares of Stock Y purchased?
A. 22a + 35b ≤ 4,500
a + b ≥ 100
a ≤ 20
b ≤ 15
B. 22a + 35b ≤ 4,500
a + b ≤ 100
a ≤ 20
b ≤ 15
C. 22a + 35b ≤ 4,500
a + b ≤ 100
a ≥ 20
b ≥ 15
D. 22a + 35b ≤ 4,500
a + b ≥ 100
a ≥ 20
b ≥ 15
5 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids. The winner offers a bid of $72,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?
The amount that the bidder needs to put into a kitty for the other bidders to be compensated will be $57600.
How to calculate the value?It should be noted that 5 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids and the winner offers a bid of $72,000.
Therefore, the fair share will be:
= Bids / Number of people
= 72000 / 5
= 14400
Therefore, the amount that the bidder needs to put into a kitty for the other bidders to be compensated will be:
= $72000 - $14400
= $57600
Therefore, the amount that the bidder needs to put into a kitty for the other bidders to be compensated will be $57600.
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Find all values of $x$ that solves this system.
\begin{align*}
x^2 - 9y^2 &= 72\\
x + 3y &= 9
\end{align*}
All the values of x that solve the given system of equations are as follows:
x = 17/2.
What is a system of equations?A system of equations is when multiple variables are related by equations, which are solved to find the values of each variable. Usually, these relations are linear, but they may also be quadratic, as is the case in this problem.
For this problem, we are given two equations, as follows:
x² - 9y² = 72.x + 3y = 9.From the second equation, we have that:
x = 9 - 3y.
Replacing in the first, we have that:
(9 - 3y)² - 9y² = 72.
9y² - 54y + 81 = 72.
54y = 9.
y = 9/54
y = 1/6, as 9/9 = 1, 54/9 = 6.
Hence the solution for x of the system of equations is found by replacement, as follows:
x = 9 - 3y = 9 - 3/6 = 9 - 1/2 = 18/2 - 1/2 = 17/2.
The solution is x = 17/2.
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One employee have a computer store is Peter base salary of $2000 a month plus a 2% commission on all sales over $6000 during the month how much Muslim please tell in one month on a total of $5000 for the month
The employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
The basic salary of the employee = $ 2000
Now he wants to earn $ 5000.
That means he has to earn 4 500 - $ 2000 = $ 3000 from the sales commission that he gets.
Sales commission is 2 %.
Let the sales above $ 6000 be x
2 % x = 3000
2 / 100 x = 3000
2 x = 3,00,000
x = 1,50,000
Total sales = $ 6000 + $ 1,50,000 = $ 1,56,000
Therefore, the employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
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Line L intersecting plane M at Q
What is the y-intercept of f(x) =
700- (2)* ?
A. (0, 1)
B. (1,0)
C. (0,0)
(14)
D.
Answer:
its A
Step-by-step explanation:
Annenbaum Corporation uses the weighted-average method in its process costing system. This month, the beginning inventory in the first processing department consisted of 400 units. The costs and percentage completion of these units in beginning inventory were:
1. The cost per equivalent unit for materials for the month in the first processing department of Annenbaum Corporation is $20.50.
2. The cost per equivalent unit for conversion costs for the month in the first processing department of Annenbaum Corporation is $34.208.
How is the cost per equivalent unit determined?The cost per equivalent unit is the quotient of the total costs to be accounted for divided by total equivalent units of production.
The equivalent units of production are a mathematical equivalent of completed units based on their degrees of completion.
Data and Calculations:Beginning work in process:
Materials costs = $5,700 65%
Conversion costs = $6,800 45%
Started units = 6,500 units
Transferred out units = 5,900 units
Ending inventory:
Material costs = 50%
Conversion costs = 35%
Costs incurred during the period:
Materials costs......... $125,500
Conversion costs...... $207,000
Physical units to be accounted for:Beginning inventory = 400 units
Started during period = 6,500 units
Total units processed = 6,900 units
Units transferred out = 5,900 units
Ending inventory = 1,000 units
Equivalent Units (Weighted Average):Physical Units Material Conversion
Transferred out 5,900 5,900 (100%) 5,900 (100%)
Ending inventory 1,000 500 (50%) 350 (35%)
Total equivalent units 6,400 units 6,250 units
Total Production Costs:Material Conversion
Beginning WIP $5,700 $6,800
Costs for the period 125,500 207,000
Total production costs $131,200 $213,800
Total equivalent units 6,400 units 6,250 units
Cost per equivalent unit $20.50 $34.208 ($213,800/6,250)
Thus, the cost per equivalent unit of materials is $20.50, while it is $34.208 for conversion costs.
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Question Completion:Cost Percent Complete Materials costs......... $5,700 65% Conversion costs...... $6,800 45% A total of 6,500 units were started and 5,900 units were transferred to the second processing department during the month. The following costs were incurred in the first processing department during the month: Materials costs......... $125,500 Conversion costs...... $207,000 The ending inventory was 50% complete with respect to materials and 35% complete with respect to conversion costs. Required: 1. What's the cost per equivalent unit for materials for the month in the first processing department? 2. What's the cost per equivalent unit for conversion costs for the month in the first processing department?
How tall is the flag pole (please give explanation too)
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
ProportionShadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Question 2 If n = 22, + = 30, and s = 7, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.
The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
In statistics, a confidence interval is a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.
The formula used for the calculation of confidence interval is given by
Confidence level = X bar ± Z×σ/√n
where, X bar is the sample mean, Z is the confidence level value, σ is the sample standard deviation and n is the sample size.
Given that, n = 22, X bar = 30, σ = 7 and Z = 2.326 for 98%
= 30 ± 2.3263 × 7/√22
= 30 ± 3.472
= [26.528 – 33.472]
Therefore, The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
Hence, 30 ± 3.472 or [26.528 – 33.472] is the required answer.
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Five more than the quotient of a number and 9 is equal to 3
Answer:
5+n/9=3
Step-by-step explanation:
1. The table represents a quadratic function. Write an equation of the function in standard form. X f(x) -4 -3 -2 0 0 1 2 0
An equation of the function in standard form is equal to -x²/4 + 1 = 0.
What is a quadratic function?A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
y = f(x) = ax² + bx + c
Next, we would formulate a system of equations from the data contained in the table above:
-3 = a(-4)² + b(-4) + c ⇒ -3 = 16a - 4b + c .......equation 1.
0 = a(-2)² + b(-2) + c ⇒ 0 = 4a - 2b + c .......equation 2.
1 = a(0)² + b(0) + c ⇒ 1 = c .......equation 3.
Substituting the value of c into eqn. 1 and eqn. 2, we have:
-4 = 16a - 4b .......equation 4.
-1 = 4a - 2b .......equation 5.
Multiplying eqn. 5 by 2 and solving simultaneously, we have:
-4 = 16a - 4b
-2 = 8a - 4b
-2 = 8a
a = -2/8
a = -1/4
For the value of b, we have:
-1 = 4a - 2b
-1 = 4(-1/4) - 2b
-1 = -1 - 2b
2b = 0
b = 0
Substituting the values of a, b and c into the standard form of a quadratic equation:
ax² + bx + c = 0
-1/4x² + (0)x + 1 = 0
-x²/4 + 1 = 0
Check:
When x = 2, we have:
-x²/4 + 1 = 0
-2²/4 + 1 = 0
-4/4 + 1 = 0
-1 + 1 = 0
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Question 8, 1.2.35-PS
Part 1 of 5
iew an example
HW Score: 44.44%, 4
O Points: 0 of 1
- Scatterplots and Graphs
K
If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.
The quadratic function in this problem is represented by Graph C.
What is the quadratic function for this problem?The quadratic function for the projectile height after t seconds is given by:
S(t) = 109 + 96t - 16t²
From this, we have that:
Due to the negative coefficient of t², it is a concave down parabola, which remoces option d.The initial height is of 109 feet, which removes option b.The initial velocity is positive, which means that the parabola has increasing height for a while before decaying, which removes option A.Thus, the quadratic function in this problem is represented by Graph C.
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what is (2.49 x 10^4)\(3.0x 10^2) written in scientific notation?
a. 8.3 x 10^1 b. 0.83x 10^2 c. 83x 10^2 d. 830x 10^1
A solid lies between planes perpendicular to the y-axis at [tex]y=0[/tex] and [tex]y=4[/tex]. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola [tex]x=\sqrt{10} y^2[/tex]. Find the volume of the solid.
For any given [tex]0\le y\le4[/tex], a cross section in that plane is a circle whose diameter is [tex]x=\sqrt{10}\,y^2[/tex] with thickness [tex]\Delta y[/tex]. Such a cross section contributes a volume of [tex]\pi \left(\frac x2\right)^2 \, \Delta y = \frac{5\pi}2 y^4 \, \Delta y[/tex].
As [tex]\Delta y\to0[/tex] and the number of cross sectional cylindrical disks increases without bound, the infinite sum of their volumes converge to the volume of the solid, given by the definite integral
[tex]\displaystyle \frac{5\pi}2 \int_0^4 y^4 \, dy = \frac{5\pi}2 \cdot \frac{4^5}5 = \boxed{512\pi}[/tex]
The population of a small town was 12,500 in 1995. Since then, the population has
increased at a rate of 4.5% each year.
Write an exponential function to model the situation
Answer:
Step-by-step explanation:
the answer is 6847 if anyone solves it
Write 21 50 as a percent and as a decimal.
How many solutions does 2b - 5 = 9 have
Answer:
1 solution
b=7
Step-by-step explanation:
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2b - 5 = 9
2b=14
b=7
1 solution
help with 2,3,&4. pleaseee!! wil mark as brainly list
Answer:
brainly list not allowed macht
In the triangle above, if BC = 21 and sin A = 0.7, what is the length of AB?
With explanation
Ahmed wants to divide BD 5500 in the ratio 2:4:5 for 3 charity organizations. Can you help him to divide the money?
We need to know about ratio for solving the problem. Ahmed has to divide the money as 1000, 2000 and 2500.
In simple words ratio indicates how many times one number contains other. With the help of this division we need to assume a number x which is held 2 times in first part, 4 times in second part and 5 times in third part of the total money that Ahmed wants to divide. We can find the ratio of a quantity to another by dividing one quantity by the other and cancelling the common factors. For this question we have a total amount of money 5500 which we need to divide in ratio 2:4:5 in other words we can say that the three parts are 2x,4x and 5x, these three parts will add up to be 5500. So we can write
2x+4x+5x=5500
11x=5500
x=500
The three parts of the money will be 2x500=1000, 4x500=2000 and 5x500=2500
Therefore we found using the concept of ratio that Ahmed needs to divide his money as 1000,2000 and 2500.
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please help asap no one has been able to solve it :(
I need help
Answer:
givenMultiplication property of equalityMultiplicative inverse propertyMultiplicative identity propertyAddition property of equalityAdditive inverse propertyAdditive identity propertyStep-by-step explanation:
You are given the solution to a 2-step linear equation and asked to identify the properties of equality and operations that support the steps of the solution.
Steps5(x -3) = 20 . . . . This is the Given equation we're solving.
(1/5)(5(x -3)) = (1/5)(20) . . . . Both sides are multiplied by 1/5. The Multiplication property of equality says you can do this without changing the value of the variable.
1(x -3) = 4 . . . . (1/5)(5) is replaced by 1. The Multiplicative inverse property tells you the product of a number and its multiplicative inverse is 1.
x -3 = 4 . . . . 1(x -3) is replaced by (x -3). The Multiplicative identity property tells you multiplication by 1 changes nothing. These properties of multiplication are what allow you to remove the factor of 5 from the equation.
Now, we're about to do the same thing with addition: use its properties to remove the unwanted -3.
x -3 +3 = 4 +3 . . . . 3 is added to both sides. The Addition property of equality says you can do this without changing the value of the variable.
x +0 = 7 . . . . -3+3 is replaced by 0. The Additive inverse property tells you the sum of a number and its additive inverse is zero.
x = 7 . . . . x+0 is replaced by x. The Additive identity property tells you addition of 0 changes nothing. These properties of addition are what allow you to remove the added -3 from the equation.
__
Additional comment
Clearly, for exercises like this, it is essential to know the names of these properties and what they mean. Once you understand cancelling multiplication using multiplicative inverses, and cancelling addition using additive inverses, you are on your way to solving most algebra problems.
You must always keep in mind the properties of equality that tell you the same operation must be performed on both sides of the equal sign.
Understanding these properties can also help you understand the relation between multiplication and division, addition and subtraction. Division is multiplication by the multiplicative inverse; subtraction is addition of the additive inverse.
Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks à white marble. In the third attempt, Amy picks a white marble again. Arny has not replaced the marbles she picked.
When Amy picks a black marble in the fourth attempt, the probability that in the fifth attempt she will pick a red or a black marble is 0.7143.
How to calculate the probability?It should be noted that after the 3rd pick we have: 4 white, 3 red and 8 black marbles.
The probability that the 4th marble is black is:
P ( Black ) = 8 / 15 = 0.5333
After the 4th pick we have: 4 white, 3 red and 7 black marbles.
P ( Red or Black ) = 10 / 14 = 5 / 7 = 0.7143.
Therefore, the probability is 0.7143.
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Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks a white marble. In the third attempt, Amy picks a white marble again. Amy has not replaced the marbles she picked. The probability that the fourth marble Amy picks is black is . If Amy picks a black marble in the fourth attempt, the probability that in the fifth attempt she will pick a red or a black marble is____.
The perimeter of a rectangular field is surrounded by 96 meters of fencing. If the field is partitioned into two parts as shown, a total of 110 meters of fencing is required. Find the dimensions of the field.
The dimensions of the field is Length = 34 meters, width = 14 meters.
Let rectangle: x for width, y for length.
2 ( x + y ) = 96
x + y = 48
2 ( x + y ) + x = 110
x = 110 - 96
x = 14
x + y = 48
y = 48 - 14 = 34
Length = 34 meters, width = 14 meters.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
A closed shape with four sides that forms a 90° angle is known as a rectangle. A rectangle can have many different characteristics. The following list includes some of a rectangle's key characteristics.
A quadrilateral is a rectangle.
A rectangle's opposing sides are equal and parallel to one another.
Each vertex of a rectangle has a 90° internal angle.
360° is the total of all interior angles.
The diagonals cut each other in half.
The diagonals are all the same length.
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-87.55% rounded to one decimal place
Answer:
-8756 %
Step-by-step explanation:
Because 5 is a strong number
-4 1/2 + 3 1/4 I need help solving this question. And please show me the steps.
It should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
How to illustrate the information?It should be noted that fractions are not while numbers. The number at the top is the numerator and the number down is the denominator.
In this case:
- 4 1/2 + 3 1/4
= - 4 2/4 + 3 1/4
= - 1 1/4
Therefore, it should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
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Find the weighted average of the points on the line.
The weighted average of the points on the line is 3/5 after applying the concept of the weighted average.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The number line is shown in the picture:
The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
From the number line:
The weighted average = [2(-5) + 8(2)]/(2 + 8)
The weighted average = [-10 + 16]/(10)
The weighted average = [6]/(10)
The weighted average = 3/5
Thus, the weighted average of the points on the line is 3/5 after applying the concept of the weighted average.
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A mile is 5,280 feet between which two integers is the elevation of the trench in miles-22,889 feet is between and miles
The elevation of the trench is between 4 miles and 5 miles.
Between which integers is the elevation of the trench in miles?
Herein we have the information of the elevation of the trench in feet and we need to determine between which integers in miles is that elevation, based on the unit conversion from feet to miles. The exact elevation in miles is found by simple rules of three:
x = 22,889 feet × (1 / 5,280 miles / feet)
x ≈ 4.335 miles
The elevation of the trench is between 4 miles and 5 miles.
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Use properties of operations to add (−3) and (−17) IF RIGHT I WILL GIVE BRAINIEST
a b c or d
A: −20
B: 20
C: −14
D: 14
Answer:
14
Step-by-step explanation:
because if you subract -17 it will become a postive 17 and 17-3 is 14
y=(-3)-(-17)y=(-3)+17y=14Hope this helps!
If you have anyother questions feel free to ask!
For the following exercises, find functions
f(x) and g(x) so the given functions can be expressed as h(x)=f(g(x)). There are multiple possible answers. If the answers require exponents, enter the answer with an exponent in f(x) but not in g(x).
h(x)= 8/(x+4)^2
The functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
How to find functions f(x) and g(x) so the given functions can be expressed as h(x) = f(g(x))?The function h(x) is given as:
h(x) = 8/(x + 4)^2
The definition of the function h(x) is
h(x) = f(g(x))
So, we have:
f(g(x)) = 8/(x + 4)^2
Let g(x) = x + 4
So, we have:
f(g(x)) = 8/(g(x))^2
Express g(x) as x
So, we have:
f(x) = 8/x^2
Hence, the functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
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