Given that,
The diameter of a semicircle is 2 mm.
To find,
The area of the semicircle.
Solution,
Radius of semicircle, r = 1 mm
The area of a semicircle is given by the formula as follow :
[tex]A=\dfrac{\pi r^2}{2}\\\\=\dfrac{3.14\times (1)}{2}\\\\=1.57\ \text{mm}^2[/tex]
So, the area of the semicircle is [tex]1.57\ \text{mm}^2[/tex].
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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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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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
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.
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____.
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
I didn’t understand this question please help and thank u
The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table. What is the relationship between distances biked and distances run?
The relationship between distances biked and distances run is
D(bike) = 2 × D(run)
Here, we have been shown that when distance run is, lets say x then distance run is 2x
When distance run is 2 then distance biked is 4, twice as distance run.
Again in distance run 3[tex]\frac{1}{2}[/tex], distance biked is 7, so this proves that
D(bike) = 2 × D(run)
What is the importance of distance?The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors (e.g. "two counties over").
Since spatial thinking is a rich source of conceptual metaphors in human thought, the term is also frequently used metaphorically to denote a measure of the degree of separation or the statistical distance between two similar objects (such as edit distance between strings of text or statistical distance between probability distributions) (as exemplified by distance between people in a social network).
A metric space is a mathematical concept that is used to define the majority of these conceptions of distance, both literal and figurative.
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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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Line L intersecting plane M at Q
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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help with 2,3,&4. pleaseee!! wil mark as brainly list
Answer:
brainly list not allowed macht
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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In the triangle above, if BC = 21 and sin A = 0.7, what is the length of AB?
With explanation
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
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
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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Write 21 50 as a percent and as a decimal.
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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rewrite this expression using a positive exponent
[tex]\frac{1}{2^{-6} }[/tex]
Answer:
1/5 needs to be 20 words long
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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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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-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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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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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?
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!
-87.55% rounded to one decimal place
Answer:
-8756 %
Step-by-step explanation:
Because 5 is a strong number
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]