Answer:
$800
Step-by-step explanation:
Kevin works as a sales person at a site that specialize in custom made computers.
Kevin earns a base pay per week = $325
and a commission on his sales.
Kevin earned last week a total of = $1,125
So his commission = Total pay - his base pay
= 1,125 - 325
= $800.00
His commission was $800.
Order the sides or angles of the triangle from least to greatest
Which mathematical property is demonstrated? 40 • (25 • 74) = (40 • 25) • 74
A. commutative property of addition
B. associative property of multiplication
C. associative property of addition
D. commutative property of multiplication
Answer:
d
Step-by-step explanation:
hope it helps
In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 288π cm².
What is the value of x?
What’s the first 200 digits of pie?????????
Find the product of (3x + 7y)2. 9x2 − 42xy + 49y2 9x2 − 49y2 9x2 + 49y2 9x2 + 42xy + 49y2
Answer:
[tex]9x^{2}+42xy+49y^{2}[/tex]
Step-by-step explanation:
we know that
[tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex]
In this problem we have
[tex](3x+7y)^{2}[/tex]
so
[tex]a=3x[/tex]
[tex]b=7y[/tex]
substitute
[tex](3x+7y)^{2}=(3x)^{2}+2(3x)(7y)+(7y)^{2}[/tex]
[tex]=9x^{2}+42xy+49y^{2}[/tex]
convert 35/8 to a decimal using long division
The general term for the sequence 2, 4, 8, 16, 32, . . . is
We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)
[tex] r_1=\frac{4}{2}=2 [/tex]
r2=(third term)/(second term)
[tex] r_2=\frac{8}{4}=2 [/tex]
r3=(fourth term)/(third term)
[tex] r_3=\frac{16}{8}=2 [/tex]
r4=(fifth term)/(fourth term)
[tex] r_4=\frac{32}{16}=2 [/tex]
we can see that all four ratios are same
[tex] r_1=r_2=r_3=r_4=2 [/tex]
so, this is geometric sequence
Calculation of general term:
We got
common ratio is
[tex] r=2 [/tex]
Let's assume
number of terms is n
first term is 2
[tex] a_1=2 [/tex]
now, we can use formula
[tex] a_n=a_1 (r)^{n-1} [/tex]
we can plug values
and we get
[tex] a_n=2(2)^{n-1} [/tex]
[tex] a_n=2^1(2)^{n-1} [/tex]
[tex] a_n=(2)^{n-1+1} [/tex]
[tex] a_n=(2)^{n} [/tex]..................Answer
Answer:
a1: 2 r1: 2
Step-by-step explanation
just did it on edge :)
the answer for the second part is the 1st and 4th formulas
HELP ME!
The Pythagorean Theorem and Distance Formula are both used to find distances on the coordinate plane. Explain when it is appropriate to use each method.
the diagram shows the shape of the green of a miniature golf hole. what is the area of the green?
The area of green of golf course can be found by summing the area of pieces like that given rectangles and triangles.
The resultant area of the green of the golf course is given by:
100 sq. feet
Composing the area:You have to calculate the area of those smaller pieces to find the total area of the green of the golf course.
Total area = sum of area of trapezoid and parallelogram.The trapezoid in left of figure has height of 4 feet and parallel sides of 8 feet and 12 feet respectively.
Thus:
Area of trapezoid = [tex]\dfrac{1}{2}.\text{sum of parallel sides} \times height[/tex]
Area of trapezoid = [tex]\dfrac{1}{2}.4.(12+8) = 40 \: \rm feet^2[/tex]
The parallelogram on left has height 4 feet and base is of 15 feet.
Thus:
Area of parallelogram = [tex]\text{base} \times \text{height}[/tex] = [tex]4 \times 15 = 60 \: \rm feet^2[/tex]
Thus,
Total area = 40 + 60 = 100 sq. feet.
The resultant area of the green of the golf course is given by:
100 sq. feet
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^^I have no idea what this is, means or is asking so help please, thanks!
The table shows the membership of two scout troops.
a. What is the percent of change in membership from 2010 to 2011 for Troop A? Round to the nearest tenth of a percent, if necessary.
b. What is the percent of change in membership from 2010 to 2011 for Troop B? Round to the nearest tenth of a percent, if necessary.
c. Which troop has the better record in terms of the number of new members?
d. Which troop has the better record in terms of the percent of change in membership?
Answer:
a. What is the percent of change in membership from 2010 to 2011 for Troop A?
[tex]\frac{16-14}{14}*100[/tex] = 14.28%
b. What is the percent of change in membership from 2010 to 2011 for Troop B?
[tex]\frac{24-21}{21}*100[/tex] = 14.28%
c. Which troop has the better record in terms of the number of new members?
Troop B.
d. Which troop has the better record in terms of the percent of change in membership?
Both have the same percentage change.
18 out of 24 of Emils CDs are country music 5 out of 8 of Imanis CDs are country music. Which is a true statement A Half of each CD coleection consists of country music B less than half od ech CD collection consists of country music E Emil has a greater fraction of country music than Imani
D imani has greater fractionof country music than Emil which one is true A B C or D
Two sides of a right triangle measure 7 units and 3 units. What is the area of the square that shares a side with the third side of the triangle?
We can use the Pythagorean theorem to find the length of the third sides.
c²=a²+b²
Where c is the longest (unkwon ) side, a and b are the remaining sides. So,
c²=7²+3²
= 49+9
= 58
So, c=√58
So, the length of the third side or the side length of square is √58.
So, the area of the shaded region (square)= c²
=(√58)²
=58
So, the area of the square is 58 units².
Answer: 58 units squared
Step-by-step explanation:
if the measure of AB is 8 find the length of the radius of C
How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
A. One
B. None
C. More than one
Barry’s mountain bike weighs 6 pounds more than andy’s. Their bike weigh 42 pound together . Write an equation that represent the sum of weigh altogether.
Mike’s current restaurant measures 60 feet by 30 feet. Due to increase in the number of customers, he wants to rent a bigger restaurant. The dimensions of the bigger restaurant will be related by a scale factor of 2. What is the difference in area between Mike's new restaurant and his current restaurant, in square feet?
Expand. Your answer should be a polynomial in standard form. 3h(−h 2 +2h−1)
Answer: -18h^2+85h-18
Step-by-step explanation:
Jane biked 34 miles in 2 hours. At this rate, how far could she bike in 5 hours?
13.6 mi
37 mi
76 mi
85 mi
4/7x = 64
Answer for x
x = 112
This is because
4/7x = 647/4 x 4/7 = 64/1 x 7/4
1x= 448/4
x = 1122. Jamie is the starting pitcher for his baseball team. The coach recorded the number of pitches he threw in one game. Each pitch is either a ball, strike or hit. The coach recorded that 54 pitches, or 60%, were strikes. What is the total number of pitches that Jaime threw in this game?
Answer:
90
Step-by-step explanation:
:)
Suppose all left-handed people are excluded from a sample. What is this an example of?
A. Selection bias
B. Response bias
C. Nonresponse bias
D. Nonselection bias
Answer: A . selection bias
Step-by-step explanation:
IF Mary had 500.004 in the bank and earns an annual interest rate of 2%, how much will she earn in one year?
If two prisms have the same volume, do they always, sometimes, or never have the same surface area
Answer:
sometimes
Step-by-step explanation:
Two prisms with the same volume sometimes have the same surface area, but not always, because surface area depends on the dimensions of all prism faces. Different shapes with the same volume, such as a sphere, a cube, and a cylinder, can have significantly different surface areas, especially if their proportions change.
Explanation:If two prisms have the same volume, they do sometimes have the same surface area, but not always. The volume of a prism is determined by the area of the base multiplied by the height, but the surface area includes the areas of all the faces of the prism.
Therefore, two prisms can have the same volume, but if their dimensions—base areas and heights—are different, their surface areas can be very different as well. This holds true for other geometric shapes as well.
Example with Different ShapesFor instance, consider a sphere, a cube, and a cylinder that all have the same volume. According to the formula for a sphere, sphere: volume = 4/3 (pi) (r)³; surface area = 4 (pi) (r)², for a cube, cube: volume = (s)³; surface area = 6 (s)², and for a cylinder, cylinder: volume = height (pi) (r)²; surface area = 2 (pi) (r) (height) + 2 (pi) (r)². Even if all these shapes have a volume set at 1 unit cubed, their surface areas can vary significantly.
Furthermore, changing the shape's proportions while keeping the volume constant (such as elongating a cylinder or a cube) generally increases the surface area.
This is showcased in data where cylinders and cubes shapes elongated in length or width have different surface areas but maintain the same volume.
Solve the equation 2^(3−2) +4=16.
Please show all work.
A Glass paperweight has the shape of a triangular prism. The bases are equilateral triangles with side lengths of 4 inches and a height of 3.5 inches. The height of the prism is 5 inches. find the lateral area and the total surface area of the paperwork.
The lateral area of the triangular prism is 21 square inches and the total surface area is 35 square inches.
Explanation:
To find the lateral area of the triangular prism, we need to calculate the area of all three sides excluding the bases. Since the bases are equilateral triangles with side lengths of 4 inches, the area of each base is ½ × base length × height = ½ × 4 × 3.5 = 7 square inches. The lateral area is the sum of the areas of the three sides, which is 3 × 7 = 21 square inches.
The total surface area of the prism includes the bases as well. So we need to calculate the area of the two triangular bases and add it to the lateral area. The total surface area is 2 (area of base) + lateral area = 2 × 7 + 21 = 35 square inches.
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The lateral area of the triangular prism is 60 square inches, and the total surface area is 74 square inches.
To find the lateral area and total surface area of a triangular prism:
Step 1: Calculate the Area of One Triangular Base
The base is an equilateral triangle with sides of 4 inches and a height of 3.5 inches. The area of an equilateral triangle is calculated using the formula:[tex]Area = \frac{1}{2}*base*height[/tex]
So the area is:[tex]Area = \frac{1}{2} *4\ in*3.5\ in = 7\ square\ inches[/tex]
Step 2: Calculate the Perimeter of the Base
The perimeter of the base is:Perimeter = 3 * side length = 3 * 4 in = 12 inches
Step 3: Calculate the Lateral Area
The lateral area of a prism is given by:Lateral Area = Perimeter * height of the prism
Therefore, the lateral area is:Lateral Area = 12 in * 5 in = 60 square inches
Step 4: Calculate the Total Surface Area
The total surface area is the sum of the lateral area and the areas of the two triangular bases:Total Surface Area = Lateral Area + 2 * Area of one baseTotal Surface Area = 60 square inches + 2 * 7 square inches = 74 square inchesThus, the lateral area and total surface area are 60 square inches and 74 square inches.
If a scientist knows the relative age of a fossil, he can also know A. the type of climate from which it came. B. the relative age of the rock where it was found. C. how it became extinct. D. how long the organism was alive.
its science but it made me pick math
Answer:
the relative age of the rock where it was found.
Explanation:
Study Island
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
HELP ASAP
Hello,
The correct answer is A) 3(3x + 2y) and 9x + 6y
Hope this helps!!!! (:
The equation d=60t gives the distance d (in miles) a car travels after t hours. Identify the independent and dependent variables.
The required d is the dependent variable and t is the independent variable.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It typically contains one or more variables, which represent unknown values.
In the equation, d=60t, t is the independent variable and d is the dependent variable. The value of d depends on the value of t, which is the amount of time the car travels, and hence is the independent variable.
Thus, d is the dependent variable and t is the independent variable.
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Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made
86 chocolate chip cookies and
42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Answer:
2
Step-by-step explanation:
To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.
86 Chocolate Chip Cookies
42 Sugar Cookies
Let's take the 86 Chocolate Chip Cookies first.
[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43
Now let's take the Sugar Cookies.
[tex]42 \left \{ {{2} \atop {21\left \{ {{3} \atop {7}} \right. }} \right.[/tex] or
42 = 2 x 3 x 7
Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.
2 x 3 x 7 = 42
2 x 43 = 86
2 = Total number of identical packages.
Answer:
2
Step-by-step explanation: