Answer:
The range is 31
Step-by-step explanation:
Range is highest number - lowest number.
The highest number is 54 and the lowest is 23.
54-23=31
| -3+4 | - | 3 - 6 |
Answer:
-2
Step-by-step explanation:
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
i got yelled at for my grandma giving a coney dog at A and W and she got sick is there a way i can cut my dad out of his life
Answer:
this whole sentence confused me a lot
Step-by-step explanation:
yes there is, but it depends on how you want to do it
Answer:
I don't really get what you're implying can you please explain?
Step-by-step explanation:
haha this just really confused me :)
aaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhhhhh
Answer:
mood
Step-by-step explanation:
the circumference of a garden is 91.06 feet. what is the diameter of the garden?
Answer:
radius = 14.5 feet
Step-by-step explanation:
91.06 / 3.14 = diameter = 29
radius = 29/2 = 14.5 feet
Lemonade will be served in 8 oz cups. One pint=16 oz. How many cups of lemonade in 5 gallons
Answer:
80 cups
Step-by-step explanation:
1 gallon = 128 oz
5x128= 640 oz
640/8=80
You are the sales manager for a large condominium development in Sacramento, California. You are interested in determining how much to price your units for and have collected information on 87 equivalent condominiums that have sold in the past two months in Sacramento. After having sold 21 of your condominium units (out of 150), you are interested in evaluating whether your units are selling for significantly more than the other 87 Sacramento condos. In order to determine if your condos are, on average, selling for more than the other 87 you would use a: Question 8 options: A one-sided, one-sample t-test A two-sided, one-sample t-test A one-sided, two-sample t-test A two-sided, two-sample t-test
Answer:
A one-sided, two-sample t-test
Step-by-step explanation:
In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.
HELP!! When you solve a
system of equations
What are the three
possible outcomes ???
9514 1404 393
Answer:
no solutionsa finite number of solutionsan infinite number of solutionsStep-by-step explanation:
Your question is very general, including linear and non-linear equations of any number and/or degree. In the general case you're asking about, there will be ...
no solutions -- no values of the variables satisfy all equationsa finite number of solutions -- all equations are satisfied for some finite set of variable valuesan infinite number of solutions -- equations are dependent (or periodic*) so the set of solutions is an infinite set__
For 2 linear equations in 2 unknowns, there will be 0, 1, or infinite solutions.
_____
* Aperiodic equations may also have an infinite number of solutions. 1/sin(x)=0 is an example.
Find the missing side lengths. Leave your answers as radicals in simplest form.
Sep by step explanation pls
Answer:
[tex]a =22[/tex]
[tex]b = 11[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find a and b
Using cosine formula, we have:
[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]
So, we have:
[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]
Make a the subject
[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]
[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]
Rewrite as:
[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]
This gives:
[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]
[tex]a = 11 * 2[/tex]
[tex]a =22[/tex]
To solve for b, we use Pythagoras theorem
[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]484 = b^2 + 363[/tex]
Collect like terms
[tex]b^2 = 484 - 363[/tex]
[tex]b^2 = 121[/tex]
Take positive square roots
[tex]b = \sqrt {121[/tex]
[tex]b = 11[/tex]
which geometric series converges?
a. 1/6+1/6+1/6+1/6
b. 1/6+2/6+4/6+8/6
c. 6+12+24+48
d. 6+2+6/9+6/27
Answer:
D
Step-by-step explanation:
Ed2021
The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Which geometric series converges is determined from the options below
a. 1/6+1/6+1/6+1/6 b. 1/6+2/6+4/6+8/6 c. 6+12+24+48 d. 6+2+6/9+6/27.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.
Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
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six times a number is equal to the number increased by 15 find the number
Answer:
3
Step-by-step explanation:
(six times a number) is (equal) to (the number increased by 15)
6x = x + 15
6x = x + 15
Subtract x from both sides
5x = 15
Divide both sides by 5
x = 3
10=z+6 plsss solve !!!!
Answer:
z=4
Step-by-step explanation:
10=z+6
10-6=z
z=4
Answer:
z = 4
Step-by-step explanation:
10 = z + 6
z = 10 - 6 = 4
I need some more letters to post
Write two expressions that are equivalent to 4n -5.
-5+4n and 4n+(-5), that is the answer
look at the coordinate picture then answer the questions without links or files
question 1:
give coordinates for any three points that are on the same verticle line include at least one point that has a mixed number as a coordinate.
question 2:
give coordinates for any three points that are on the same horizontal line include at least one point that has a fraction as a coordinate.
PLZ HELP ME
Answer:
1. Label the second quadrant on the coordinate plane, and then answer the following questions: a. Write the coordinates of one point that lies
Answer:
Question 1
1,2 1/2
1,3
1,4
Step-by-step explanation:
Question 2
1, 2 1/2
2,2 1 /2
3, 2 1/2
Im not sure if i misunderstood the question
what is the next term of geometric sequence -1/7,4/7,-16/7
Answer:
Step-by-step explanation: the answer is 5
Answer:
64/7
Step-by-step explanation:
multiply -16 by -4
2 + 2 its reallyhard
Answer:
I think the answer is 4
Step-by-step explanation:
If you do this thing called ADDITION, 2+2=4.
A classroom has a perimeter of 62.25m. What is the absolute error of the perimeter?
0.005m
Step-by-step explanation:Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.
Absolute error is the difference between the actual/exact value and measured value.
The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.
In other words, the actual value of the classroom is
62.25 ± 0.005 m
This difference of 0.005 m gives the absolute error.
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
401.92
Step-by-step explanation:
[tex]volume=\pi r^{2} h[/tex]
3.14 x (4x4) x 8 = 401.92
Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False
Answer:
4.086 < 5.025 true
6.37 = 6.370 true
64.28 > 64.281 false
11.716 < 11.708 false
64.28 > 64.281 false
3,756.082 < 3,756.802 true
Step-by-step explanation:
First, let's define how the symbols work.
a < b means that a is strictly smaller than b
a > b means that a is strictly greater than b
Also, for rounding up or down:
Suppose that we want to round to the second decimal after the decimal point.
Then, we need to look at the third one, if it is 5 or larger, we round up.
if it smaller than 5, we round down.
We need to see if each statement is true or not.
a) 4.086 < 5.025
This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.
b) 6.37 = 6.370
Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.
c) 11.716 < 11.708
11.716 is actually larger than 11.708, so this statement is false
d) 64.28 > 64.281
We have that:
64.28 + 0.001 = 64.281
Then 64.281 is larger than 64.28, so this statement is false.
e) 3,756.082 < 3,756.802
By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag conOne bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow? tains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 50 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is below.
Hours Spent in Child Care
7.3
6.5
7.7
5.8
3.6
9.7
6.2
8.7
11.4
0.6
8.2
7.2
9.4
7.5
5.4
8
9.4
4.5
7.5
7.9
5.8
7.6
8.3
9.8
9
6.2
4.7
0.6
11.2
8.3
9
7.9
7
6.3
3.8
8.1
7
7.6
2.3
7
8
7.5
9
8.2
7.9
9
8
10
6
8.2
a. Formulate the hypotheses that can be used to determine whether the population mean -number of hours married mean are spending in child care differs from the mean reported by Time in your area.
b. What is the sample mean and the p-value?
c. At each significant level of 90%, 95% or 99%, what is your conclusion?
Answer:
H0 : μ = 6.4
H0 : μ > 6.4
Sample mean = 7.24
Pvalue = 0.120
At each α - level ; 0.1, 0.05, 0.01 ; We fail to reject the null
Step-by-step explanation:
From the sample data :
Mean, xbar, = The test statistic :
ΣX / n = 361.8 / 50 = 7.24
Standard deviation, s = √Σ(x - xbar)²/ n-1 = 2.263
The hypothesis :
H0 : μ = 6.4
H0 : μ > 6.4
The test statistic, Z ;
(xbar - μ) / s/√n
(7.24 - 6.4) / s/√n
0.84 / 2.263/√10
Z = 0.84 / 0.7156234
Z = 1.174
Using the Pvalue from Zscore calculator to Obtain the Pvalue ;
Pvalue = 0.120
Decision region :
Reject H0 ; if Pvalue < α
At 90% ; α = 0.1
Pvalue > α ; We fail to reject the Null
At 95% ; α = 0.05
Pvalue > α ; We fail to reject the Null
At 99% ; α = 0.01
Pvalue > α ; We fail to reject the Null
Solve every last one with step by step for each one Show your work and steps and answers due today. Must do all problems for brainliest. Must do 8-12
Answer:
8 - 12 = -4
Step-by-step explanation:
Answer:
8.
10x-1=14x-37[corresponding side of congruent triangle are equal]
37-1=14x-10x
36=4x
x=36/4
x=9
9.
6x+13=16x-7[corresponding angle of congruent triangle are equal]
13+7=16x-6x
10x=20
x=20/10
x=2
10.
8x-27=4x+33
8x-4x=33+27
4x=60
x=60/4
x=15
PQ=8×15-27=93
11.3x+5=12x-13
13+5=12x-3x
9x=18
x=18/9=2
now
<BDC=12×2-13=11
12.
5x-8=9x-28
28-8=9x-5x
4x=20
x=20/4
x=5
now
<YWX=5x-8+9x-28=5×5-8+9×5-28=34
13..5x-4=2x+5
5x-2x=5+4
3x=9
x=9/3=3
now
ML=5×3-4=11
ML=11
From new question.
$36,716×4.5%×6 years =
Answer:
3.12833905 × 10^11 U.S. dollars
Step-by-step explanation:
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
х
-1
2
3
5
y
2
-1
-2
4
2x+y=-3
-2x+y=-3
х
-1
2
3
7
у
0
3
4
-8
0 2x+y=-3 and
х
-1
2.
3
5
y
2
-1
-2
--4
0-2x+y=-3 and
Х
-1
2.
3
5
y
2
-1
-2
-4
Answer:
hiyoh
Step-by-step explanation:
Hi I need help with dis answer
Answer:
the second answer
juzt find the scale factors of the two numbers given (120 and 96).
Step-by-step explanation:
The Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
More about the ascending order link is given below.
https://brainly.com/question/320500
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15 points please help me solve for x
Answer:
82' is the write answer
and like the answer and follow me
Answer:
[tex]x = 73.74[/tex]°.
Step-by-step explanation:
In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.
Evaluate the following expression when a = 5.
4a2 + a-3