Answer:
twenty one balls.
Step-by-step explanation:
there would be three of each colour.
Answer:
the real answer is 15
Step-by-step explanation:
Consider two consecutive positive integers such that the square of the second integer added to 3 times the first is equal to 105
Answer:
8 and 9
Step-by-step explanation:
If x is the smaller integer, and x + 1 is the larger integer, then:
(x + 1)² + 3x = 105
x² + 2x + 1 + 3x = 105
x² + 5x − 104 = 0
(x + 13) (x − 8) = 0
x = -13 or 8
Since x is positive, x = 8. So the two integers are 8 and 9.
The measure of position called the midquartile of a data set is found using the formula StartFraction Upper Q 1 plus Upper Q 3 Over 2 EndFraction . Find the midquartile of the given data set. 23 37 49 34 35 41 40 26 32 22 38 42
Answer:
35.25
Step-by-step explanation:
Give the data set:
23 37 49 34 35 41 40 26 32 22 38 42
We are expected to calculate the midquartile of the given data set.
22 23 26 32 34 35 37 38 40 41 42 49
First step is to find the lower quartile which comprises of
22 23 26 32 34 35
Here the Q1 is (26+32)/2 = 58/2= 29
Second step to find the upper quartile which comprises of
37 38 40 41 42 49
Here the Q3 is (40+41) /2 = 81/2 = 41.5
Then to find the midquartile which is (Q1+Q3) /2 where Q1 is 29 and Q3 is 41.5
= (29+41.5)/2
= (70.5) /2 = 35.25
(2-i)(-3+i) a.-7+5i b. 6 - i c. 5 - 5i d. -5 + 5i Please select the best answer from the choices provided A B C D
Answer:
-5+5i
Step-by-step explanation:
(2-i)(-3+i)=-6+3i+2i-i² (i²=-1)
-6+3i+2i-(-1)
-6+3i+2i+1=-5+5i
-5+5i
Dylan open a credit card account with $725 of available credit now that he has made some purchases Dillons account has only $442.25 of available credit what is the percentage decrease of the amount of available credit and Dillons account?
Answer:
1,000 i believe its that
Step-by-step explanation:
A truck averages 23 mpg. Gas costs $2.28 per gallon. How much would it cost to pay for the gas if this truck made a trip of 2,093 miles?
Answer:$207.48
Step-by-step explanation:You need to find how much gallons he would need so you divide 2,093 by 23 and you get 91. After that you multiply it by $2.28, The price per gallon and you get 207.48.
Hey, the question is with the image. Pls help
Answer:
8
Step-by-step explanation:
6th grade math , help me please :)
Answer:
A. Eric rode 2 more miles per week than Kim rode
Step-by-step explanation:
Number of miles Kim rode bicycle in 9 weeks = 135 miles
Let x be the number of miles per week.
135miles => 9 weeks
x miles => 1 week
[tex] x = \frac{135}{9} [/tex]
[tex] x = 15 [/tex]
Kim rode the bicycle 15 miles per week
Number of miles Eric rode bicycle in 6 weeks = 102 miles
Let x be the number of miles per week Eric rides the bicycle.
102 miles => 6 weeks
x miles => 1 week
[tex] x = \frac{102}{6} [/tex]
[tex] x = 17 [/tex]
Kim rode the bicycle 17 miles per week
Comparing the number of miles per week they rode, we would conclude that: "Eric rode 2 more miles per week than Kim rode".
The polynomial −16t^2+550 gives the height of a ball t seconds after it is dropped from a 550-foot-tall building. Find the height after t=2 seconds.
Answer:
486 feet
Step-by-step explanation:
h = -16t² + 550
h = -16(2)² + 550
h = 486
Suppose we use a person's dad's height to predict how short or tall the person will be. Suppose we decided to build a regression model to investigate if there is a relationship between these two variables. What should we use as the variables in the analysis
Answer:
The variables that can be used in the analysis are:
Dependent variable: person's height (Height)
Independent variable: person's dad's height (DadsHt)
Step-by-step explanation:
A linear regression model is used to predict the value of the dependent variable based upon the value of the independent variable.
The general form of a linear regression model is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the predictor variables.
In this vase we need to form a regression model such that, a person's dad's height can be used to predict how short or tall the person will be.
That is, the dependent variable is the person's height and the independent variable is the person's dad's height.
The variables that can be used in the analysis are:
Dependent variable: person's height (Height)
Independent variable: person's dad's height (DadsHt)
How many solutions does the following equation have? −4(x+5)=−4x−20
Answer:
Infinite Solution!
Step-by-step explanation:
First, We simplify the right side.
Distribute -4, -4x-20=-4x-20
Now we add +4x to both sides, now the equation stands as -20=-20
We know when the solution is same #= same #. We have infinite solution!
Find the mean, median, and mode of the data, if possible. f any of these measures cannot be found or a measure does not represent the center of the data, explain why.
A sample of seven admission test scores for a professional school are listed below
11.3 10.6 11.7 9.7 11.7 9.5 11.7
What is the mean score? Select the correct choice below and fill in any answer box to complete your choice
A. The mean score is Round to one decimal place as needed.)
B. There is no mean score. Does the mean represent the center of the data?
A. The mean represents the center
B. The mean does not represent the center because it is the smallest data value.
C. The mean does not represent the center because it is not a data value.
D. The mean does not represent the center because it is the largest data value.
What is the median score? Select the correct choice below and fill in any answer box to complete your choice.
A. The median score is 0
B. There is no median score.
Does the median represent the center of the data? (Round to one decimal place as needed.)
A. The median represents the center.
B. The median does not represent the center because it is not a data value. °
C. The median does not represent the center because it is the largest data value.
D. The median does not represent the center because it is the smallest data value.
What is the mode of the scores? Select the correct choice below and fill in any answer box to complete your choice
A. The mode(s) of the scores is (are)
B. There is no mode. Does (Do) the mode(s) represent the center of the data?
(Use a comma to separate answers as needed.)
A. The mode(s) represent(s) the center
B. The mode(s) can't represent the center because it (they) is (are) not a data value.
C. The mode(s) does (do) not represent the center because it (one) is the largest data value.
D. The mode(s) does (do) not represent the center because it (one) is the smallest data value.
Answer:
Step-by-step explanation:
Given a sample of seven admission test scores for a professional school listed 11.3, 10.6, 11.7, 9.7, 11.7, 9.5 and 11.7, the mean of the numbers is the sum total of the values divided by the total number of admission test score. The mean is as calculated below.
Mean = {11.3 + 10.6 + 11.7 + 9.7 + 11.7 + 9.5 + 11.7}/7
Mean = 76.2/7
Mean = 10.9
The mean score is 10.9 to 1 decimal place.
Note that the mean does not represent the centre of the data. It represents the average value of the datas. The mean does not represent the center because it is not a data value. The mean will give a value that is different from the values given in the data.
b) The median score is the score in the centre after re-arrangement. The arrangement can either be ascending or descending order. On re-arranging in ascending order;
9.5, 9.7, 10.6, (11.3), 11.7, 11.7, 11.7
After rearranging, it can be seen that the number at the centre of the data is 11.3, hence the median score is 11.3.
The median represents the center
c) The mode is the scores that occurs most. According to the data given, the score that occur most is 11.7. The score occurs the highest number of times (3 times) compare to other scores in the data. Hence, the modal score is 11.7.
The mode(s) does (do) not represent the center because it (one) is the largest data value.
HELP- find the volume of the prism
Answer:
The answer is
1728″Step-by-step explanation:
From the above question the prism in the picture is a cube since all it's sides are equal
So the formula for finding the volume of a cube is
V = l³
where l is the length of one side
From the question l = 12″
Volume of the prism = 12³
= 1728″
Hope this helps you
need answers (ASAP!!!) with equations, please!!
Answer:
a=6, b=5.5
Step-by-step explanation:
By looking at the sides of the triangles it can easily be seen that some of the sides match up. Side b is similar to the side of 11 and same with side a and the side of 3. Since one side is 16 and the other side on the smaller triangle is 8, the bigger triangle is twice as large than the smaller one. So 3 x 2 = 6 and 11 / 2 = 5.5
The more error we allow, the less precise our estimate.Therefore, as the confidence level increases, the precision of our estimate increases stays roughly the same ___________.
Answer:
Increase
Step-by-step explanation:
Precision describes the closeness of estimates from different samples, it refers to the width of the confidence interval and can aso be described as the margin of error. While the confidence level describes the accuracy.
Going for a higher confidence level will bring about a wider confidence interval, and thus lead to a less precise estimate.
What is the excluded value?
Answer:
Excluded value = -7
Solution = [tex] x = \frac{5}{9} [/tex]
Step-by-step Explanation:
The excluded value is the value that will make the denominator 0.
Thus,
[tex] x + 7 = 0 [/tex]
Subtract 7 from both sides
[tex] x + 7- 7 = 0 - 7 [/tex]
[tex] x = -7 [/tex]
The excluded value is -7
Solution=>
[tex] \frac{2x}{x + 7} + \frac{3x + 1}{x + 7} = \frac{1}{2} [/tex]
[tex] \frac{2x + (3x + 1)}{x + 7} = \frac{1}{2} [/tex]
[tex] \frac{5x + 1}{x + 7} = \frac{1}{2} [/tex]
Cross multiply
[tex] 2(5x + 1) = 1(x + 7) [/tex]
[tex] 10x + 2 = x + 7 [/tex]
[tex] 10x - x = -2 + 7 [/tex]
[tex] 9x = 5 [/tex]
[tex] x = \frac{5}{9} [/tex]
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = zeyi + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y2 + z2 = 16, y ≥ 0, oriented in the direction of the positive y-axis.
Stokes' theorem equates the surface integral of the curl of F to the line integral of F along the boundary of the hemisphere. The boundary itself is a circle C (the intersection of the hemisphere with the plane y = 0) with equation
[tex]x^2+z^2=16[/tex]
Parameterize this circle by
[tex]\mathbf r(t)=4\cos t\,\mathbf i+4\sin t\,\mathbf k[/tex]
with [tex]0\le t\le2\pi[/tex].
The surface is oriented such that its normal vector points in the positive y direction, which corresponds to the curve having counterclockwise orientation. The parameterization we're using here already takes this into account.
Now compute the line integral of F along C :
[tex]\displaystyle\iint_S\mathrm{curl}\mathbf F(x,y,z)\cdot\mathrm d\mathbf S=\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r[/tex]
[tex]=\displaystyle\int_0^{2\pi}\mathbf F(4\cos t,0,4\sin t)\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^{2\pi}(4\sin t\,\mathbf i+4\cos t\,\mathbf j)\cdot(-4\sin t\,\mathbf i+4\cos t\,\mathbf k)\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^{2\pi}-16\sin^2t\,\mathrm dt[/tex]
[tex]=-8\displaystyle\int_0^{2\pi}(1-\cos(2t))\,\mathrm dt=\boxed{-16\pi}[/tex]
Line integral of F along C is,
[tex]\rm \int \int_S curl F(x,y,z) dS = -16\pi[/tex]
Step-by-step explanation:
Given :
Hemisphere - [tex]x^2 +y^2+z^2=16[/tex]
Calculation :
Accordind to Stoke's theorem the surface integral of the curl of F to the line integral of F along the boundary of the hemisphere. The boundary itself is a circle C (the intersection of the hemisphere with the plane y = 0) with equation
[tex]x^2+z^2=16[/tex]
then parameterize the circle,
[tex]\rm r(t) = 4 cos(t) \;\hat{i} + 4 sin(t)\;(\hat{k})[/tex]
with , [tex]0\leq t\leq 2\pi[/tex]
Line integral of F along C is,
[tex]\rm \int \int_S curl F(x,y,z) dS = \int_{C}^{} F(x,y,z) \;dr[/tex]
[tex]= \int_{0}^{2\pi} F(4cos(t),0,4sin(t)) \;\dfrac{dr}{dt}.dt[/tex]
[tex]= \int_{0}^{2\pi}(4sin(t)i+4cos(t) j).(-4sin(t)i+4cos(t)k) \;dt[/tex]
[tex]= \int_{0}^{2\pi} -16sin^2tdt[/tex]
[tex]=-8 \int_{0}^{2\pi} (1-cos(2t))dt[/tex]
[tex]= -16\pi[/tex]
For more information, refer the link given below
https://brainly.com/question/8130922?referrer=searchResults
Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of felony. From there, the weight categories are broken into degrees. The higher the weight, the higher degree of felony charged. New York State uses the measures given in the table below to charge a suspect.Amount Charge
Over ⅛ oz. Class C felony
Over ½ oz. Class B felony
Over 2 oz. Class A-II felony
Over 4 oz. Class A-I felony
If a suspect is in possession of .06 kilograms of cocaine how many ounces does he possess? What will be the charge?
Answer:
Over 2 oz. Class A-II felony
Step-by-step explanation:
One would need to carefully weigh the material.*
0.06 kg ≈ 2.12 oz
Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.
__
If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.
_____
* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.
Solve the quadratic equation x2 + 2x – 20 = 0 by completing the square.
Answer:
x^2 + 2x - 20 = 0
x^2 + 2x - 20 + 20 = 0 + 20 ( add 20 to both sides)
x^2 + 2x = 20
x^2 + 2x + 1^2 = 20 + 1^2 ( add 1^2 to both sides)
( x + 1 )^2 = 21
x = [tex]\sqrt{21}-1[/tex]
x = [tex]-\sqrt{21}-1[/tex]
Answer:
A) x = –1 ± square root 21
is the answer:)
What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4
Answer:
1 3/8
Step-by-step explanation:
Well to find the average or the mean we need to add all the numbers,
3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4
= 11
Then we divide t by the number of numbers in the set.
11 ÷ 8 = 1 3/8
Thus,
the average in the set is 1 3/8.
Hope this helps :)
Please Help
Show Work
Answer:
[tex]m<7[/tex]
Step-by-step explanation:
We can solve this inequality by isolating the variable [tex]m[/tex].
To do this, we subtract 8 from both sides of the equation.
[tex]15-8 > m+8-8[/tex]
[tex]7>m[/tex]
I always like formatting by inequalities with the variable on the left, so we just reverse the numbers and the sign.
[tex]m<7[/tex]
Hope this helped!
Answer:
Hey there!
15>m+8
15-8>m
7>m
m<7
Hope this helps :)
ANZ Corporation manufactures a product available in two models: ABC, and PQR. Despite the growing popularity of the PQR model, company profits have been declining steadily, and management is beginning to think there might be a problem with their costing system. Material and Labour costs are given below:
ABC PQR
Sales demand 30000 15000
Direct material cost/unit $45 $60
Direct labour cost/unit $30 $40
Production overheads are $600,000 each month.
These are absorbed on a sales demand basis.
Calculate the full production costs for ABC and PQR, using traditional costing method
Answer:
The full production costs are:
ABC = $22,900,000
PQR = $1,700,000
Step-by-step explanation:
Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.
Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:
ANZ Corporation
Computation of Full Production Costs
Particulars ABC PQR
Sales demand 30,000 15,000
Cost $ $
Direct cost:
Direct materials cost (w.1) 1,350,000 900,000
Direct labor cost (w.2) 900,000 600,000
Total direct cost 22,500,000 1,500,000
Indirect cost:
Production overhead (w.3) 400,000 200,000
Full production cost 22,900,000 1,700,000
Workings:
w.1: Computation of direct material cost
Direct material cost = Direct material cost per unit * Sales demand
Therefore;
ABC Direct material cost = $45 * 30,000 = $1,350,000
PQR Direct material cost = $60 * 15,000 = $900,000
w.2: Computation of direct labor cost
Direct labor cost = Direct labor cost per unit * Sales demand
Therefore;
ABC Direct material cost = $30 * 30,000 = $900,000
PQR Direct material cost = $40 * 15,000 = $600,000
w.3: Allocation of production overhead
Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)
Total Sales demand = 30,000 + 15,000 = 45,000
Therefore, we have:
Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000
Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000
The graph for the equation y = 2 x + 4 is shown below. On a coordinate plane, a line goes through (negative 2, 0) and (0, 4). If another equation is graphed so that the system has one solution, which equation could that be?
Answer: x = 1
Step-by-step explanation:
x = 1 provides one solution for any linear equation, as it is a straight vertical line.
Hope it helps <3
Answer:
x=2
Step-by-step explanation:
Our equation is y=2x+4
the line goes through (2,0) and (0,4)
(2,0) is the x-axis intercept wich is given by y=0(0,4) is the y-intercept wich by y= 2*0+4This equation has one solution for y=0
there are millions of similar equations that has one solution like:
x = 2
Solve the system of linear equations and check any solutions algebraically.
Answer:
[tex]\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }[/tex]
Step-by-step explanation:
Hello,
(1) 2x + 4y + z = 3
(2) x - 2y - 3z = 4
(3) x + y - z = -1
From (3) we can write z = x + y + 1 and we replace in (1)
2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2
(1') 3x + 5y = 2
and we replace in (2)
x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7
(2') -2x - 5y = 7
(1') + (2') gives
3x - 2x + 5y - 5y = 2 + 7 = 9
x = 9
we replace in (1')
3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5
y = -5
and then in (3)
9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5
z = 5
hope this helps
Answer:
work is shown and pictured
the sum of place value of 5 in 15954
Answer:
5050
Step-by-step explanation:
Place value of a digit is the value of digit based on its position the given number.
to determine the place value of a digit
we multiply the digit by number of 10's which is equal to number of digits in its right.
example
for a number 1234687
the place value of 3 is
we take 3 and
multiply it by number of 10' in its right
number of 10's in the right is 4
thus place value of 3 = 3*10*10*10*10 = 30000
________________________________________________
15954
place value of 5 at thousandth position = 5*10*10*10 = 5000
place value of 5 at tens position = 5*10 = 50
Thus, sum of place value of 5 in 15954 = 5000+50 = 5050
Which of the following is best described as sets of three whole numbers (a, b, and c) that satisfy the equation ?
A.
The Pythagorean theorem
B.
Prime numbers
C.
Pythagorean triples
D.
Perfect squares
Answer:
Option C
Step-by-step explanation:
The whole numbers a,b and c such that [tex]a^2+b^2 = c^2[/tex] are Pythagorean triples satisfying the Pythagorean theorem.
Answer:
C
Step-by-step explanation:
a, b, and c are side lengths of the triangle.
The three side lengths that make up a right triangle are most commonly known as Pythagorean triples.
A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 What is the cost of one apple?
Answer:
$0.50
Step-by-step explanation:
Let's remove common factors from the equations.
x + y = 1.25 . . . . divide the first equation by 62x +y = 1.75 . . . divide the second equation by 5Subtracting the first equation from the second, we find the cost of an apple:
(2x +y) -(x +y) = 1.75 -1.25
x = 0.50
The cost of one apple is $0.50.
g There are 60 mountain climbers in a club. 10 of these have climbed Mt. Everest. 15 have climbed Mt. Rainier. 8 have climbed both. How many have not climbed either mountain?
Answer:
43 mountain climbers have not climbed either mountain.
Step-by-step explanation:
Total number of mountain climbers, i.e. n(U) = 60
Number of mountain climbers who have climbed Mt. Everest, n(E) = 10
Number of mountain climbers who have climbed Mt. Rainier, n(R) = 15
Number of mountain climbers who have climbed both, n(E [tex]\cap[/tex] R) = 15
Using the formula to find number of climbers who have climbed either of the mountains:
[tex]n(A \cup B) = n(A)+n(B)-n(A\cup B )[/tex]
[tex]\therefore n(E \cup R) = n(E)+n(R)-n(E\cup R )\\\Rightarrow n(E \cup R) = 10+15-8 = 17[/tex]
To find, who have not climbed either mountain:
[tex]n(E\cup B)'=n(U) - n(E\cap B)\\\Rightarrow n(E\cup B)'=60 - 17 = \bold{43}[/tex]
So, the answer is:
43 mountain climbers have not climbed either mountain.
You were recently hired by a company and will recieve a starting salary of $45,000 per year. You will receive a $2,500 raise each year you are with the company. What will your salary be in your 6th year with the company?
Answer:
$60,000
Step-by-step explanation:
$2500*6=15000
45000+15000=60000
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)
Answer:
b. [tex]g(x)=f(x)-5[/tex]
Step-by-step explanation:
You have that the function f(x) has its y-intercept for y=3.
Furthermore, you have that g(x) is a transformation of f(x) with y-intercept for y=-2.
In this case you have that f(x) has been translated vertically downward.
The general way to translate a function vertically in the coordinate system is:
[tex]g(x)=f(x)+a[/tex] (1)
being a positive or negative.
if g(x) has its y-intercept for y=-2, and the y-intercept of f(x) is for y=3, then the value of a in the equation (1) must be a = -5, which is the difference between both y-intercepts, in fact:
a = -2 -3 = -5
Then, the answer is:
b. [tex]g(x)=f(x)-5[/tex]
Answer: g(x) = f(x) - 5
Step-by-step explanation:
just took this
solve for inequality
ᶜ⁄₋₃ ≥ 3
Answer:
c ≤ -9
Step-by-step explanation:
c / -3 ≥ 3
c ≤ -9
Remember, we flip the sign of the inequality by multiplying / dividing by a negative number.
Answer:
c ≤ -9
Step-by-step explanation:
c / -3 ≥ 3
c ≤ -9