an internet service charges 20 dollars to initiate service the companythen charges 0.50 for each day of service complete the table
Answers
Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.
Let d be the number of days to find the total charges.
Since the month consists of at most 31 days
The total charges t can be expressed as t = a + b*x, where x > 0 and
x <=31.
We are given that the internet service charges of 20 dollars
We are given that the daily service charges are 0.5 dollars
The days in the month are in the range of 1 to 31 (max).
Note, if x increases by 1 unit, then t is added by b.
Given values: a = $20; b= $0.5
Solution equation:
t = $20 + x*$0.5
What is constant?
A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.
What is variable?
A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.
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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.
Let d be the number of days to find the total charges.
Since the month consists of at most 31 days
The total charges t can be expressed as t = a + b*x, where x > 0 and
x <=31.
We are given that the internet service charges of 20 dollars.
We are given that the daily service charges are 0.5 dollars.
The days in the month are in the range of 1 to 31 (max).
Note, if x increases by 1 unit, then t is added by b.
Given values: a = $20; b= $0.5.
Solution equation:
t = $20 + x*$0.5
What is constant?
A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.
What is variable?
A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.
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Related Questions
Twenty students randomly assigned to an experimental group receive an instructional program; 30 in a control group do not. After 6 months, both groups are tested on their knowledge. The experimental group has a mean of 38 on the test (with an estimated population standard deviation of 3); the control group has a mean of 35 (with an estimated population standard deviation of 5). Using the .05 level, evaluate the researcher's hypothesis that the instructional program affects students' knowledge. What is the correct cutoff score(s)
Answers
Answer:
The solution according to the problem given is provided below in the explanation segment.
Step-by-step explanation:
According to the question,
\(H_o: \mu_1=\mu_2\)
\(H_a: \mu_1 \neq \mu_2\)
Level of significance,
\(\alpha = .05\)
The test statistics will be:
⇒ \(Z = \frac{(\bar x_1 - \bar x_2)}{\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} } }\)
\(=\frac{(38-35)}{\sqrt{\frac{(3)^2}{30} +\frac{(5)^2}{30} } }\)
\(=2.82\)
The p-value will be:
= \(0.0024\)
Create a variable h that is a row vector with eight equally spaced elements in which the first element is 68 and the last element is 12.
Answers
The variable h, which is a row vector with eight equally spaced elements, is h = linspace(68, 12, 8).
To create the variable h as a row vector with eight equally spaced elements, we can use the linspace function in MATLAB or Octave. The linspace function takes three arguments: the starting value, the ending value, and the number of elements in the vector.
Here's how to create the variable h with the desired specifications:
h = linspace(68, 12, 8)This will create a row vector h with eight equally spaced elements ranging from 68 to 12. The output will be:
h = [68 60.5 53 45.5 38 30.5 23 12]The elements in the vector are not integers because we asked for eight equally spaced elements between 68 and 12.
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Solve the equation below for x by graphing
3x =8_2x
Answers
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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What slope would make the lines
parallel?
y = 1/2x - 1
y = / x + 2
Answers
through (2,2) parallel to y=x+4
in slope intercept form.
Answers
Answer:
y = x
Step-by-step explanation:
slope of y=x+4 is 1
parallel means same slope = 1
so y - 2 = 1*(x - 2)
y = x
Sophia is younger than Mohal. Their ages are consecutive odd integers. Find Sophia's age if the product of their ages is 15.
Answers
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)
\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)
Problem 16. Use linear approximation, ie. the tangentne, to approximate \( \sqrt{36.1} \) as follows:\(f(x) \: at \: x = 36\)The equation of the tangent ine in slope-intercept form to can be written in the form y=mx +b where:Using this, we find our approximation for\( \sqrt{36.1} \)for last part give 6 significant figures or fractions
Answers
y = mx + b
I don't understand the question
Do you have a picture of it?
y =
x = 36 and b = 0
m = 1
b = 0
squared root of 36.1 = 6.00833
\(y\text{ = }\sqrt[]{x\text{ }}+\text{ b}\)Perform the indicated operation. x^2-y^2/3x * 3y/x+y
Answers
Answer:
xy-y^2/x
Step-by-step explanation:
you factor the expression and reduce the gcf 3:
(x-y)*(x+y)/x *y/x+y
reduce the expression with x+y:
x-y/x*y
calculate the product:
y*(x-y)/x
remove parenthesis:
xy-y^2/x
How much would you need to deposit in an account each month in order to have $30,000 in the account in 6 years? Assume the account earns 2% interest.
Answers
Answer:
30,000 ÷6=
5,000 a month
QUESTION 4 of 10: Your largest customer makes a purchase and pays $5,500 on account and $6,600 cash. How much was the purchase?
0000
a) $5,500
b) $6,600
c) $12,100
d) $11,100
Answers
Answer:
The answer is C
Step-by-step explanation:
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
Answers
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Rewrite the product as a power:
a) b to the 3 times x to the 3
b) x to the 2 times y to the 2 times z to the 2
c) 32a to the 5
Answers
Answer:
b+3x^3
x+2y+2z+2
32a^5
Step-by-step explanation:
none needed [=
What number gives a result of −5 when 8 is subtracted from the quotient of the number and 5?
Answers
3 = x/5
15 = x
Check:
15/5 = 3 - 8 = -5 :)
K
A study finds that out of every 500 babies born in the world, 45 have some kind of major birth defect. What is the
simplest way to assign random numbers to conduct a simulation based on this statistic?
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. Use two-digit numbers 00-99; let 00-
represent babies born with some kind of major birth defect and
-represent babies born without a major birth defect.
OB. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect,-
represent babies born without a major birth defect, and skip -9.
C. Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
represent babies born without a major birth defect, and skip -99.
OD. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect and
represent babies born without a major birth defect.
View an example Get more help -
Clear all
Check answer
3:
بنا
correct:
Answers
There 9% represent babies born with a birth defect, and 09-99(9%) to represents babies without birth defects.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
According to one study, 45 out of every 500 babies born in the world have a serious birth defect.
Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
p = x/n
p = 45/500
p = 0.9 = 9%
So, the simplest way to assign random numbers to conduct a simulation based on this statistic, it can use 00-99(9%) to represent babies born with a birth defect, and 09-99(9%) to represent babies without birth defects.
Hence, the correct answer would be an option (B).
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What is the surface area and volume of the triangular prism?The triangular prism is 1 foot high. The triangle that forms the base of the prism has a base of 6 inches and a height of 4 inches. The two remaining sides of the triangular bases are each 5 inches long. What is the surface area and volume of the triangular prism?
Answers
Answer:
The surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.
Step-by-step explanation:
formulas:
Surface Area = 2B + Ph
Volume = Bh
where B is the area of the triangular base, P is the perimeter of the base, h is the height of the prism, and B and h are both in the same units (inches, feet, etc.).
Given:
Height of the triangular prism = 1 foot
Base of the triangular prism = 6 inches
Height of the triangular base = 4 inches
Length of the other two sides of the triangular base = 5 inches
First, we need to find the area of the triangular base (B):
B = (1/2) x base x height
B = (1/2) x 6 inches x 4 inches
B = 12 square inches
Next, we need to find the perimeter of the triangular base (P):
P = sum of all three sides
P = 6 inches + 5 inches + 5 inches
P = 16 inches
Now, we can use the formulas to find the surface area and volume:
Surface Area = 2B + Ph
Surface Area = 2(12 square inches) + (16 inches)(1 foot)
Surface Area = 24 square inches + 16 square feet
Surface Area = 16.222 square feet (rounded to three decimal places)
Volume = Bh
Volume = 12 square inches x 1 foot
Volume = 12 cubic feet
Therefore, the surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.
Please help me please
Will give brainly if you actually answer the question
Answers
Answer:
A. c is less than or equal to -11/5
Step-by-step explanation:
hope this helps :)
Find the area of the shaded regions
Answers
Sector area
Area of whole = 51.313
Area of unshaded = 9.424
Area of shaded = 41.8886
Answer:
40π/3Step-by-step explanation:
Find the area of the bigger circle:
A = πr² = π(4 + 3)² = 49πFind the area of 120° sector AOC:
A = 120°/360°*A = 1/3*49π = 49π/3Find the area of smaller circle:
A = π(3²) = 9πFind the area of 120° sector of DOB:
A = 120°/360°*9π = 3πNow find the shaded area, the difference of areas of sectors:
49π/3 - 3π = 40π/37x^7+10x^4+4x^3-5x^11-10x^6-6x^7
Answers
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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what is the value of x?
help would be so appreciated!
Answers
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
Find the missing angles.
with solution
Answers
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
What is the slope of this line?
Answers
Answer:
3/2
Step-by-step explanation:
We can find the slope of this line by using two points
(1,-3) and (3,0)
m = (y2-y1)/(x2-x1)
= (0- -3)/(3 -1)
= (0+3)/(3-1)
= 3/2
What is the slope of the line that contains the points (2, −7) and (−1, 5)?
−4
negative one fourth
one fourth
4
Answers
the slope is -4
hope this helps!!
Answer:
the slope is -4
Step-by-step explanation:
Solve for x.
7.5x11=4.85
Enter your answer as a decimal in the box.
x =
Answers
7.5x11 = 4.85
82.5x = 4.85
*divide 82.5 on both sides*
x = 4.85 ÷ 82.5
x = 0.058788
Answer:
0.058787879
Step-by-step explanation:
(7.5)(x)(11)=4.85
82.5(x)=4.85
x=4.85÷82.5
x= 0.058787879
F(x)=1/ x shift 9 units right and 4 units down
Answers
Answer:
g(x) = 1/(x-9) - 4
Step-by-step explanation:
f(x) shift 9 units right -> f(x-9) = 1/(x-9)
further shift 4 units down: 1/(x-9) - 4
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
Answers
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
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something times 5 = 1?
Answers
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
You can think of this "something" as a variable, which is x
So:
5x = 1
Divide both side by 5:
x = 1/5
5,10,15,20,25 what is the common difference
Answers
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
GRAPH f(x)=-|x-5|
i need the endpoint and then any other point
Answers
Answer:
The highest point is at (5, 0)
Another point on this graph is (6, -1)
The graph and explanation are below.
