The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
For this case, the missing table for expenses of both families is:
Reed Family Appliances
Gas range 5 cents per day
Gas dryer 1 load per day-10 cents per load
Electric water heater 90 cents per day
Typical later model refrigerator 16 cents per day
Total cost per day 5+10+90+16= 166 cents = $1.21
Merrill Family Appliances
Electric range 13 cents per day
Gas dryer - 1 load per day 10 cents per load
Gas water heater 40 cents per day
Energy Star-labeled refrigerator 12 cents per day
Total cost per day 13+10+40+12 = 75 cents = $0.75
Since each of them used these appliances for 30 days, so we get:
Case 1: Expense by Reed Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]
Case 2: Expense by Merrill Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]
So, Reed family spent more.
The difference is $36.3 - $22.5 = $13.80
Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
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Please help me I am stuck on this problem!!!!
Step-by-step explanation:
From less value to large value
30 32 33 33 35
Median is the center number = 33
Mean is (30+32+33+33+35)/5 = 32.6
The same value
This list gives the height of different plants in inches.
10.25, 11.25, 11.00, 10.50, 10.50, 11.00, 10.75, 10.25, 11.00, 10.25, 10.50, 10.75, 10.25, 10.25, 10.50, 11.25, 11.00, 10.75
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
answer
their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and
Step-by-step explanation:
ok so you just need to put those on the line plot
Enter an expression that shows the sum of exactly two terms that is equivalent to 6m + 3n + 8m + 5n
Answer: 14m+8n
Step-by-step explanation:
Simplify the expression
6m+3n+8m+5n
6m+8m+3n+5n
14m+8n
It is the same expression except that it is simplified and contains only 2 terms
List the integers that satisfy both these inequalities.
2x + 9 < 0
x > -12
Answer:
-5, -6, -7 ,-8, -9, -10, -11
Step-by-step explanation:
Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15
Answer:
4th option
Step-by-step explanation:
f(x) = x² + 8x + 1
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 1
= (x + 4)² - 15 ← in vertex form
Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated
Answer:
36 m
Step-by-step explanation:
PT = x
This is True because of similar sides [tex]\frac{8}{x} = \frac{7}{14}[/tex]
solve for x to get PT and you get 16
Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m
Answer:
36 m
Step-by-step explanation:
Line QS = (1/2) Line PT
8 m = (1/2) Line PT
Line PT = 16 m
Perimeter = 3 + 3 + 7 + 7 + 16
P = 36 m
I hope this helps!
in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b
Answer:
∠a = 35° ∠b = 65°
Step-by-step explanation:
a = 35 ° ( alternate interior angles )
( the line x is parallel to line yz hence we can consider XY as a transversal)
∠b + 35° + 80° = 180 ° ( angle sum property of triangle)
∠b+ 115° = 180°
∠b= 180 - 115
∠b = 65°
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.
what is circles and conditional probability
Answer:
what you mean about circles but i do know probability
Step-by-step explanation:
conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN
The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?
Answer:
1296 cm³
Step-by-step explanation:
Given
Volume of original rectangular, V = 162 cm³V = lwhSolving
Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³Answer:
1296 cm³
Original Rectangle:
height : H
volume : 162 cm³
New Rectangle:
height : 2H
volume : x (let it be x)
Solve:
[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf x = 1296[/tex]
4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction
Answer:
35
Step-by-step explanation:
4+1/3 ÷5=1/6
4+5/3=1/6
Multiply each side by the L.C.M which is 6
24+10+1
35
The diagram shows a solid shape.
The shape is a hemisphere on top of a cylinder,
Volume of a sphere = 4/3pir^3
Pressure = force/area
The solid shape is placed on a table. The solid exerts a force of 4 Newtons on a table. The pressure on the table is 100 N/m. The height of the cylinder is 45 cm. Work out the total volume of the solid shape.
Please can someone help explain it.
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
How to determine the volume of the solid shape under pressureIn this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:
P = F/A = 4 · F /(π · D²) (1)
If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:
[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]
D ≈ 0.226 m²
And the volume of the solid shape is: (H = 0.45 m)
V = 0.25π · D² · H + (π/12) · D³
V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³
V ≈ 0.021 m³ (21073.745 cm³)
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
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I NEED HELP ASAP
if p=(-4 7) find ry-axis (p)
Answer:
4 , 7
Step-by-step explanation:
It worked in my app so... :)
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer: x ≈ 8.9 units
Step-by-step explanation:
We can use trigonometric functions to help us solve this question.
[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]
[tex]\displaystyle 13(sin(43))=x[/tex]
[tex]\displaystyle x= 13(sin(43))[/tex]
[tex]\displaystyle x= 8.86597868[/tex]
[tex]\displaystyle x \approx 8.9[/tex]
Point JJ is located at (-4,5) on the coordinate plane. Point J is reflected over the x-axis to create point J′. What ordered pair describes the location of J'?
Answer: (-4, -5) in 3rd Quadrant
Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate
Pls pls pls help ill give you whatever :(
Answer:
4
Step-by-step explanation:
[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]
The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Answer:
C. 124
Step-by-step explanation:
E2020
5/6-1/8 Solve by finding a common denominator
A)30/48
B)34/48
C)38/48
D)42/48
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
__
The difference is ...
[tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]
__
Additional comment
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
__
Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
Julian is a manager at a clothing store for teens. he is analyzing the order for next season. data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5. however, julian thinks the average may have changed due to a recession. he finds that the last three seasons of data show that teens spent an average of $68 on a pair of jeans. therefore, he performed a hypothesis test to see if the recent average is the same. julian used a significance level of 5% to perform the test. which of the following statements is valid based on the results? julian’s data shows that the recent seasons’ average jean price is not $75. julian’s data shows that he should order fewer jeans than before. julian’s data shows that the recent seasons’ average jean price is still $75. julian’s data is inconclusive, so he should order the same number of jeans.
Julian’s data shows that the recent seasons’s average jeans price is not $75.
Julian is a manager at a clothing store for teens.
He is analyzing the order for next season.
What is the average price?
The average price is the mean price of an asset or security observed over some period of time
data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.
however, Julian thinks the average may have changed due to a recession.
The answer is A).
Julian’s data shows that the recent seasons’s average jeans price is not $75.
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Answer:
Julian’s data shows that the recent seasons’ average jeans price is not $75.
Step-by-step explanation:
edge 2022
A right rectangular prism has a length of 6 centimeters a width of 2 centimeters and a height of 5 centimeters what is the surface area of the prism
it is 2 centimeters I hope that helps and I hope I'm not late
Which expressions are equivalent to ? Choose all the correct answers. Show your work.
Answer:
C, D, F
Step-by-step explanation:
Exponent rules:
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]\dfrac{1}{a^{-n}}=a^n[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]
[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]
[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]
[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]
[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]
[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]
Find measure of 2!!!!
Please write the answer quickly- and in degrees!!!!
Which statistical measure is not strongly affected by a few outliers in the data?.
Answer: Median
The median is not affected by large or small outliers.
The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.
For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.
Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 5 years. What is the equation
HELP! WILL GIVE BRAINLEST! Which statement is accurate for the right triangle shown below?
csc(α) = 0.94
cot(α) = 0.36
sec(α) = 1.06
sec(α) = 0.94
Answer:
3rd choice: sec(a) = 1.06
Step-by-step explanation:
sec(a) = (hypotenuse)/(adjacent leg)
The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06
What is the accurate statement?The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:
(hypotenuse)/(adjacent)
In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.
So, we have;
50/47 = 1.06
Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.
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What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)
The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given as
x⁴ + 8x² – 9
Then by the factorization, we have
x⁴ + 8x² – 9
x⁴ + 9x² – x² – 9
x²(x² + 9) – 1(x² + 9)
(x² + 9)(x² – 1)
(x² + 9)(x – 1)(x + 1)
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Answer:b
Step-by-step explanation:
on edg 2022
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.
Using the slope concept, it is found that rhe blade's length is of 90 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 440 feet.
At the highest point, the angle is of 38º, hence:
[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]
[tex]h_1 = 440\tan{38^\circ}[/tex]
[tex]h_1 = 344[/tex]
At the lowetst point, the angle is of 30, hence:
[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]
[tex]h_2 = 440\tan{30^\circ}[/tex]
[tex]h_2 = 254[/tex]
Hence, the difference is:
[tex]h_2 - h_1 = 344 - 254 = 90[/tex]
The blade's length is of 90 feet.
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The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0
The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The sum of a number and its square is 42.
Let x be the number. Then the square of that number will be x².
Then we have
x + x² = 42
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Answer:
a
Step-by-step explanation:
Convert 4 3/5 cups to pints.
Answer:
2.3 pints
Step-by-step explanation:
4.6 cups = 2.3 pints
Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?
A.) 1
B.) 5
C.) 2
D.) 3
Answer:
D. 3
Step-by-step explanation:
Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)