Answer:
1.5 gm per cubic cm
Step-by-step explanation:
Volume of pyramid is given by formula = 1/3(area of base * height)
Given in problem
base area = 100 sq. cm
height= 6cm
therefore volume of the pyramid = 1/3(100*6) = 200 cubic cm
Formula of density is = mass of the body/ volume of the body
minimum weight of required paperweight = 300 gm
minimum density of paperweight = 300/200 = 1.5 gm per cubic cm
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFraction 1 Over x EndFraction?
The range of both f(x) and g(x) is all real numbers
The range of both f(x) and g(x) is all nonzero real numbers
The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6
The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6
Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.
Step-by-step explanation: ..................Because I said so............................
Answer:
B
Step-by-step explanation:
Select the choice that translates the following verbal phrase correctly to algebra:
8 times the total of x and 3
A. 8(x + 3)
B. 8x + 3
C. (8x) ⋅ 3
D. 8 + x(3)
Answer:
8(x+3)
Step-by-step explanation:
The Reason being it is the total of x and 3 times 8.
For it to be 8x+3 you would write it eight times x plus three or eight x plus three
Option A - 8 (x + 3) correctly represents the verbal phrase.
We have the following statement -
8 times the total of x and 3
We have to select the choice that translates the above verbal phrase correctly to algebra.
Rephrase the following verbal phrase into mathematical form - ' n times the sum of a and b '.The mathematical statement for the above phrase is - n x (a + b)
In the question given to us we have - 8 times the total of x and 3
The mathematical statement for the above phrase will be -
8 (x + 3)
Hence, Option A correctly represents the verbal phrase.
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When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all? She poured the juice in 2 quart containers how many containers could she feel?
Answer:
48 cups of orange juice, 24 containers.
Step-by-step explanation:
Given:
Jackie used 5 times as much water as concentrate to make orange juice.
There were 32 more cups of water than concentrate.
Question asked:
How much juice did she make in all ?
She poured the juice in 2 quart containers how many containers could she fill ?
Solution:
Let concentrate used in the juice = [tex]x[/tex]
As Jackie used 5 times as much water as concentrate:
Then water used in the juice = [tex]5x[/tex]
According to question:
To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-
[tex]x+5x=x+x+32\\6x=2x+32\\[/tex]
Subtracting both sides by [tex]2x[/tex]
[tex]4x=32\\[/tex]
Dividing both sides by 4
[tex]x=8[/tex]
Concentrate used in the juice = [tex]x[/tex] = 8 cups
Water used in the juice = [tex]5x[/tex] = [tex]5\times8=40\ cups[/tex]
Total quantity of juice =8 + 40 = 48 cups
Thus, she made 48 cups of orange juice for her basketball team.
Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart
Number of 2 quart containers = 48 cups [tex]\div[/tex] 2 = 24 containers
Thus, she can fill 24 containers.
HELP TIMED TEST!!!!!!
For what values of x is x2-36=5x true?
-9 and -4
-4 and 9
4 and -9
9 and 4
Answer:
-4 and 9
Step-by-step explanation:
factored
(x - 9)(x + 4) = 0
with this x*x - 5x - 36 = 0
so x = 9 or x = -4
The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options. Because the sets are symmetrical, the mean should be used to compare the data sets. Because the sets do not contain outliers, the MAD should be used to compare the data sets. Because the sets are not symmetrical, the IQR should be used to compare the data sets. Because the sets contain outliers, the median should be used to compare the data sets. The mean and mode cannot be accurately determined based on the type of data display.
This question is incomplete.
Complete question
The sets of data below show the heights, in inches, of students in two different preschool classes.
A) a box plot titled class 1.
The number line goes from 38 to 49. the whiskers range from 39 to 48, and the box ranges from 40 to 43. a line divides the box at 41.
class 1
B) A box plot titled class 2.
The number line goes from 38 to 49. the whiskers range from 38 to 49, and the box ranges from 39 to 42. a line divides the box at 41.
class 2
The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options.
• Because the sets are symmetrical, the mean should be used to compare the data sets.
• Because the sets do not contain outliers, the MAD should be used to compare the data sets.
•Because the sets are not symmetrical, the IQR should be used to compare the data sets.
•Because the sets contain outliers, the median should be used to compare the data sets.
•The mean and mode cannot be accurately determined based on the type of data display.
Answer:
• Because the sets are not symmetrical, the IQR should be used to compare the data sets.
• Because the sets contain outliers, the median should be used to compare the data sets.
• The mean and mode cannot be accurately determined based on the type of data display.
Step-by-step explanation:
In the above question, we can see that a teacher intends to compare the heights of students from two different classes.
Because the data sets to be obtained would contain heights from different classes the results obtained would be non symmetrical.
Hence the best statistical analysis to use to solve for or to compare a set of non symmetrical data is known as either the Median or an Interquartile range.
It is important to note that a non symmetrical data would most likely contain or include the presence of outliers.
Answer:
C, D, E.
Step-by-step explanation:
If your seeing this it means your finnaly doing your 67 missing assignments. I'm proud
16x+9=8x+46 can someone help?
Answer:
37/8
Step-by-step explanation:
Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8
Answer:
x=4.625
Step-by-step explanation:
16x+9=8x+46
-8x
8x+9=46
-9
8x=37
/8
x=4.625
PLS HELPP Mr. Clark needed to rent a moving van. Company A charges a rate of $90 per hour plus a $50 truck
fee. Company B charges $70 per hour plus a $90 truck fee. For what number of rental hours is the cost
for both companies the same?
Answer:
2 hours
Step-by-step explanation:
According to the information provided you can say that for company A, the total cost is equal to 90 for the number of hours plus the 50 fee. For company B, the total cost is equal to 70 for the number of hours plus 90.
90x+50= 70x+90
x= number of rental hours
Then, you have solve for x:
90x-70x=90-50
20x=40
x=40/20
x= 2
The cost for both companies is the same for 2 rental hours.
Answer:
h = 2 hrs
Step-by-step explanation:
Mr Clark needed to rent a moving Van.
Company A charges
cost = 50 + 90(h)
where
h = number of hours used
Company B charges
cost = 90 + 70(h)
where
h = number of hour used
The number of rental hours when both companies cost is same is when both the cost equation is equal to each other.
Therefore,
50 + 90(h) = 90 + 70(h)
50 - 90 = 70h - 90h
-40 = -20h
divide both sides by -20
h = -40/-20
h = 2 hrs
Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
up to $338.18
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.
Here, A = $300(1 + 0.04/12)^(12*3), or
A = $300(1.0033333)^*36, or
A = $300(1.127) = $338.18
Nina will be able to spend up to $338.18 on a new bike.
deon buys candy that cost $6 per pound. he will buy at most 7 pounds. write answer as inequality
Answer:
x ≤ 42 dollars
Step-by-step explanation:
Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.
Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue. Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day. How much money will be in each purse after a week? After two weeks? The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then? Which purse contains more money after 30 days?Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue.
Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day.
How much money will be in each purse after a week? After two weeks?
The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then?
Which purse contains more money after 30 days?
Answer:
After a Week(7 days)
[tex]Purse \:A: \$2200\\Purse B: \$0.64[/tex]
After 2 Weeks(14 days)
[tex]Purse \:A: \$3600\\Purse B: \$81.92[/tex]
After 3 Weeks(21 days)
[tex]Purse \:A: \$5000\\Purse B: \$10485.76[/tex]
After 30 days
[tex]Purse \:A: \$6800\\Purse B: \$5368709.12[/tex]
Therefore, Purse B contains more money after 30 days.
Step-by-step explanation:
Purse A
The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:
1000,1200,1400,...
This is an arithmetic sequence with the first term being $1000 and the common difference $200.
Therefore, for any number of day, n, the amount of money in the purse,
[tex]T_n=1000+200(n-1)[/tex]
Purse B
1 Penny=$0.01
The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:
0.01,0.02,0.04,...
This is a geometric sequence with the first term being $0.01 and the common ratio 2.
Therefore, for any number of day, n, the amount of money in purse B,
[tex]T_n=0.01(2)^{n-1}[/tex]
After a Week(7 days)
[tex]Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64[/tex]
After 2 Weeks(14 days)
[tex]Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92[/tex]
After 3 Weeks(21 days)
[tex]Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76[/tex]
After 30 days
[tex]Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12[/tex]
Final answer:
After calculating daily increases for Purses A and B over several time frames, it's evident that Purse B, which doubles its amount every day, holds a vastly greater sum after 30 days, illustrating the power of compound interest.
Explanation:
Calculating Growth in Purses A and B
Let's start by determining the amount in each purse after one week (7 days) and after two weeks (14 days). Purse A gains $200 more each day, starting with $1,000 on day 1. Purse B's amount doubles every day, beginning with 1 penny on day 1.
For Purse A, we can calculate the total after one week as:
$1,000 + (6 days × $200/day) = $1,000 + $1,200 = $2,200
After two weeks (14 days):
$1,000 + (13 days × $200/day) = $1,000 + $2,600 = $3,600
For Purse B, since the amount doubles each day, we use the power of 2 to represent the growth:
After one week (7 days):
1 penny × [tex]2^6[/tex] = 64 pennies (because we don't count the first day)
After two weeks (14 days):
1 penny × [tex]2^13[/tex]= 8,192 pennies, or $81.92
After three weeks (21 days) for Purse A we get:
$1,000 + (20 days × $200/day) = $1,000 + $4,000 = $5,000
And for Purse B:
1 penny × [tex]2^{20}[/tex] = 1,048,576 pennies, or $10,485.76
Now, let's see which purse contains more money after 30 days:
Purse A: $1,000 + (29 days × $200/day) = $1,000 + $5,800 = $6,800
Purse B: [tex]1 penny \times 2^{29} = 536,870,912 \ pennies \, \ or\ \$\ 5,368,709.12[/tex]
After 30 days, Purse B contains significantly more money due to the power of compound interest.
Find the area of a circle with radius 8.5m to the nearest square unit
Answer:
Circle Area = PI * radius^2
Area = PI * 8.5^2
Area = 226.98
Area = 227 square meters
Step-by-step explanation:
The diagram shows AHJK. Which term describes point L?
5914 1404 393
Answer:
C. Incenter
Step-by-step explanation:
The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.
__
Other centers are ...
circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.
centroid - the intersection of medians
orthocenter - the intersection of altitudes
In AABC, the measure of A is 108° and the
measure of B is 38° . What is the measure of
C?
Answer:
Should be 34
Step-by-step explanation:
Answer:
∠C=34
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees, so
∠A +∠B+ ∠C=180
We know that ∠A is 108, and ∠B is 38, so we can substitute them in
108+38+∠C=180
Combine like terms by adding 108 and 38
146+∠C=180
Subtract 146 from both sides
∠C=34
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
a
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
b
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
c
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
d
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
Answer:
D
Step-by-step explanation:
Vus vi velt vike vit
The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
What is a Box Plot?A box plot is a graphical representation of the five-number summary of a data set.
The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).
Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:
Minimum = 0
Maximum = 9
Median = 3
Q1 = 1
Q3 = 5
Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
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PLEASE HELP ME ANSWER BOTH OF THESE QUESTIONS! IT WOULD REALLY HELP THANKS! a. How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.
b. What circular area is covered by the signal if the circumference is 754 miles?
Answer:
approximately 112.86 away from any direction away from the radio station.
A= 4521.07mi²
What is 10^3 x 10^9 with a single exponent ?
10^3 x 10^9 = 10^12
Step-by-step explanation:
Given that,
10^3 x 10^9
The bases of the 2 terms are same (10) and the power of the terms are 3 and 9
As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.
So,
10^3 x 10^9 = 10^(3+9)
= 10^12
Find the simplified product where x=0: √5x (√8²−2√x)
Answer:
D Is the answer on edge
Step-by-step explanation:
hope this helps!
The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
√(5x) and √(8²) - 2√(x)
The product of the polynomials √(5x) and √(x²) - 2√(x) will be given as,
⇒ [√(5x)] [√(8²) - 2√(x)]
⇒ √(5x)√(8²) - 2√(x)√(5x)]
⇒ 8√(5x) - 2x√5
The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.
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how can u change this rhombus so that its also a square
A.make to sides longer
B.make all right angles
C.make all sides longer
D.make all angles wider
Answer:
Make all sides right angles
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.
The pie chart shows information about the grades achieved by all of the candidates in Keval's school who took AS Level English in 2015. 8 candidates achieved grade C. Work out the number of candidates in Keval's school who took AS Level English in 2015, showing your working out (2 marks)
Answer:
you have to put the pie chart to get an answer
Step-by-step explanation:
What method can be used to write the equation of a line in slope-intercept form given two points?
A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
B. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
C. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
D. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
Answer:
The Answer is the first one, A
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
The radius of a circle is 7 ft. Find its area to the nearest tenth.
The required area of the circle with a radius of 7 ft is given as 153.9 ft².
What is an area circle?The area of the circle is given by the pie times square of the radius. Or defined as the area enclosed within the circumference of the circle.
here,
Area of the circle = πr²
From the given data radius is 7ft,
plugging the value in the area formula of the circle,
Area of the circle = 3.14 × 7² = 153.9 ft²
Thus, the required area of the circle with a radius of 7 ft is given as 153.9 ft².
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Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)
A.There is no solution.
B.It is (18,9).
C.There are infinitely many solutions.
D.It is (9, 18).
The answer is C. There are infinitely many solutions.
Grace is having trouble deciding what to order for dessert. The options are 4 different flavors of ice cream, 3 different flavors of cake, or 2 different flavors pie. If she were to choose one item at random, what is the probability that she will choose a cake?
Answer: The probability that she would choose cake is 0.33 (or 33%)
Step-by-step explanation: The number of all possible outcomes is given as follows;
4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9
This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.
However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.
Therefore the probability that she will choose a cake is give as,
P(Cake) = Number of required outcomes/Number of all possible outcomes
P(Cake) = 3/9
P(Cake) = 1/3 or 0.33
Therefore the probability that she would choose cake is 0.33 or 33%
Solve the following equation x = 0.8x + 72
Answer:
x=360
Step-by-step explanation:
Multiply both sides by 10
x*10=0.8x*10+72*10
Refine
x*10=8x+720
subtract 8x from both sides
x*10-8x=8x+720-8x
simplify
2x=720
Divide both sides by 2
2x/2 = 720/2
Simplify
x=360
Hope this helped !!!!!
The solution to the equation x = 0.8x + 72 is x = 360.
What is the solution to the given equation?Given the equation in the question:
x = 0.8x + 72
To solve the equation x = 0.8x + 72, we need to isolate the variable "x" on one side of the equation.
x = 0.8x + 72
Start by moving the term 0.8x to the other side of the equation.
Subtract 0.8x from both sides:
x - 0.8x = 0.8x - 0.8x + 72
x - 0.8x = 72
0.2x = 72
Now, divide both sides of the equation by 0.2 to solve for "x":
0.2x / 0.2 = 72 / 0.2
x = 72 / 0.2
x = 360
Therefore, the value of x is 360.
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A cube has a volume of 10 cm^3. A larger cube has a volume of x cm^3 . Consider the function f(x) =(x-10)cubed. What do the values f(19) and f(14) represent?
f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.
The function f(x) = (x-10)^3 represents the volume difference between a larger cube and a smaller cube.
When we calculate f(19), it means we are finding the volume difference when the volume of the larger cube is 19 cm^3. Similarly, when we calculate f(14), it represents the volume difference when the volume of the larger cube is 14 cm^3.
So, f(19) represents the volume difference when the larger cube has a volume of 19 cm^3, and f(14) represents the volume difference when the larger cube has a volume of 14 cm^3.
If we calculate the values:
- f(19) = (19-10)^3 = 9^3 = 729 cm^3
- f(14) = (14-10)^3 = 4^3 = 64 cm^3
Therefore, f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.
What’s the measure of angle C if tan C = 0.5773
Answer:
C =29.998°
Step-by-step explanation:
To find the measure of angle C if tan C = 0.5773, we will follow the steps below;
tan C = 0.5773
take the tan⁻¹ of both-side of the equation
that is;
tan⁻¹ tan C = tan⁻¹0.5773
On the left-hand side of the equation tan and tan⁻¹ will cancel-out leaving us with just c
C = tan⁻¹0.5773
C =29.998°
C≈30°
Find the percent markdown for an $80 jacket that is in sale for $48
Answer:
40 percent off
Step-by-step explanation:
40 percent off 80.00 is 48.00
In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample of 80 adults in the large city, which of the following properly describes the sampling distribution of the sample proportion of adults who support the stadium?*
Answer: 0.46, 0.056, the distribution is approximately normal
Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10
What is the slope of the line that passes through the points (22,-4)(−3,-9)? Write your answer in simplest form.
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line passing through two points by using the following
m = (y2-y1)/(x2-x1)
= (-9 - -4)/(-3 - 22)
= (-9+4)/(-25)
= -5/ -25
= 1/5
The slope of the line that passes through the points (22,-4) and (−3,-9) is calculated using the formula for slope. When calculated, the slope is found to be 1/5
Explanation:The slope of a line passing through two given points can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Here, (x1, y1) and (x2, y2) are the coordinates of the two points.
In the given question, the points are (22,-4) and (−3,-9). When the values are entered into the formula, we obtain:
m = (-9 - (-4)) / (-3 - 22) = -5 / -25 = 1/5
So, the slope of the line passing through the points (22,-4) and (−3,-9) is 1/5.
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Given ABC = FGE find m
Answer:
Step-by-step explanation:
trg CDE ,<C=<E=(180-20)/2=80
trg ABC,<C=80
<A=180-(80+52)=180-132=48
so <F=<A=48 grades
The answer is attached.