Note that the tools are matched against the alphabet are given as follows:
A. Drill index - Box that drill bits are stored in
B. Fender cover - Used to protect the vehicle's finish
C. Impact driver - Hand tool that is used to loosen fasteners that are very tight
D. Speed handle - Fits between a socket and a ratchet
F. Flare nut wrench - Tool used to loosen and tighten fuel line fittings
J. Stubby screwdriver - What a very short screwdriver is called
K. 6-point socket - Can be used on a 6-point fastener head
L. 12-point socket - Used on square drive fastener heads
N. Impact driver - An air-powered tool used to remove fasteners
O. Impact socket - Used with air tools
P. Slide hammer - Puller that uses a heavy weight that is slid against its handle
Q. Bearing separator - Used with a puller to pull a bearing from a shaft
R. Torque wrench - Measures the turning effort applied to a fastener
S. Chisel - Hand tool used for quickness when assembling parts
T. Dead blow hammer - A soft-faced hammer that has metal shot in its head
U. Creeper - Used to move around under vehicles
V. Hex wrench/ViseGrips - Commonly called Allen wrenches/Pliers that can be locked to a part
W. Safety goggles - Worn whenever working in the shop
X. Crowfoot wrench/Extension - Wrench used with a ratchet
Y. Coarse tooth hacksaw blade - Hacksaw blade that is the best choice for cutting thick steel
Z. Fine tooth hacksaw blade - Hacksaw blade that is the best choice for cutting Sheet Metal.
How can the above tools be classified?The above tools can be classified as hand tools and power tools used in various mechanical and automotive applications.
Their importance lies in their ability to make repair and maintenance tasks efficient and precise, ensuring the proper functioning of machinery and vehicles.
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Question 6 (1 point)
A food company is designing boxes for several products. Each box is a rectangular prism.
The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1. 2-ounce box. It
must contain 18. 75 ounces of cereal. What scale factor does the company need to use for the family size box? Explain or show your
reasoning
The company need to use for the family size box use a scale factor of 15.625 times greater.
Box Volume Scale Factor CalculationTo find the scale factor, we first need to determine the ratio of the volume of the family size box to the volume of the single serving box. The volume of a rectangular prism is given by the product of its length, width, and height. Let's assume the single serving box has dimensions l, w, and h. The volume of the single serving box is then lwh.
The volume of the family size box is 18.75 ounces, and since the single serving box is 1.2 ounces, the scale factor is the ratio of the volume of the family size box to the volume of the single serving box:
(18.75)/(1.2) = 15.625
Therefore, the company needs to use a scale factor of 15.625 to create the family size box from the single serving box. This means that the length, width, and height of the family size box will each be 15.625 times greater than the corresponding dimension of the single serving box.
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The graph shows a figure and it’s image after a transformation how would you describe this as a rotation
This graph is the rotation of 90° counterclockwise about the origin.
What is Rotation?Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.
We have the three points of the figure in graph as P(-2, 3), T(-3, 5) and J(-4, 4).
A point (x, y) after the rotation of 90° counterclockwise would be the point (-y, x).
P(-2, 3) after the rotation of 90° will be (-3, -2), which is the point P'.
T(-3, 5) after the rotation of 90° will be (-5, -3) which is the point T'.
J(-4, 4) after the rotation of 90° will be (-4, -4) which is the point J'.
Hence the image of the figure is the transformation of rotation of 90° counterclockwise.
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Your question is incomplete. The graph of possible figure is given below.
Is the function linear or nonlinear?
y = 3 x 2 + 7
Answer:
y= 13
Step-by-step explanation:
y+3x2+7
y=6+7
y=13
x y
0 13
1 13
linear
Who knows the answer to this ?
Answer:
angle 1 is 28 degrees angle 2 is 62 degrees
DONT FORGET TO PUT THE DEGREES SIGN
Step-by-step explanation:
since it is a right angle, angle 1+ angle 2 is 90 degrees.
So,
2x+(x+48)=90
3x=90-48
3x=42
x=14
angle 1=28 angle 2=62
The Brunsons had a new concrete patio installed in the shape of a semicircle as shown.
Mr. Brunson wants to cover the patio with concrete sealer. What is the area he will need to cover with concrete sealer? Use 314 for R. Round to the nearest hundredth
if necessary.
Mr. Brunson will need to cover approximately 49,106.15 square units of the patio with concrete sealer.
What is area of a circle ?
Area of circle can be defined as product of pi and square of radius .
To find the area of the semicircle, we need to use the formula for the area of a circle, but divide it by 2 since we only have half of a circle. The formula for the area of a circle is:
A = πr²
where A is the area of the circle, and r is the radius.
In this case, we have a semicircle, so we need to use half of the formula:
A = (πr²)/2
We are given that R = 314, so we can substitute that into the formula:
A = (π(314)²)/2
Using a calculator and rounding to the nearest hundredth, we get:
A ≈ 49106.15
Therefore, Mr. Brunson will need to cover approximately 49,106.15 square units of the patio with concrete sealer.
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7-2 Enrichment
Multiplying Polynomials
An architect is preparing to design an office building. She creates a sketch of the basic shape of the structure and
the relative dimensions of each piece shown. The angles in the sketch are all right angles. Find the volume of the structure using each approach. Draw lines on the sketches and record your expressions.
1. Divide the structure into two different rectangular
prisms. Add the volumes of the two prisms to create
an expression for the total
Volume
2. Divide the structure into three different rectangular
prisms. Add the volumes of the three prisms to create
an expression for the total volume.
3. View the structure as one prism with 2 equal sized prisms. Find the volume of the large prism and subtract the volumes of the smaller pieces to find the expression for the total volume!!
Thanks for helping!! (We are learning polynomials right now, like (2+x)^2 for clarification for the problems!!!) :)
The volumes of the structure are:
1. (8 + x)(16 + 2x)(6 + 3x) + 12(8 + x)(3 + x)
2. (8 + x)(16 + 2x)(3 + x) + 12(8 + x)(3 + x) + 12(6 + 3x)(3 + x)
3. (8 + x)(16 + 2x)(6 + 3x) - 2[12(8 + x)(3 + x)]
What is polynomial expressions?A polynomial expression is an algebraic expression consisting of variables and coefficients, and involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Examples include 2x^3 - 5x^2 + 3x + 1 and 4y^2 + 7y - 2.
1.We can divide the structure into two rectangular prisms, as shown in the sketch. The dimensions of the first prism are (8 + x)(16 + 2x)(6 + 3x), while the dimensions of the second prism are 12(8 + x)(3 + x). To find the total volume, we can add the volumes of the two prisms:
(8 + x)(16 + 2x)(6 + 3x) + 12(8 + x)(3 + x)
2.We can also divide the structure into three rectangular prisms, as shown in the sketch. The dimensions of the first prism are (8 + x)(16 + 2x)(3 + x), the dimensions of the second prism are 12(8 + x)(3 + x), and the dimensions of the third prism are 12(6 + 3x)(3 + x). To find the total volume, we can add the volumes of the three prisms:
(8 + x)(16 + 2x)(3 + x) + 12(8 + x)(3 + x) + 12(6 + 3x)(3 + x)
3.We can view the structure as one large rectangular prism with two smaller rectangular prisms removed, as shown in the sketch. The dimensions of the large prism are (8 + x)(16 + 2x)(6 + 3x), while the dimensions of each small prism are 12(8 + x)(3 + x). To find the total volume, we can subtract the volumes of the two small prisms from the volume of the large prism:
(8 + x)(16 + 2x)(6 + 3x) - 2[12(8 + x)(3 + x)]
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find the coordinate of the image of the following
[tex]d( - 5 [/tex]
The coordinate of the image of the point (-3/2, -1/2) under reflection in the x-axis is (-3/2, 1/2).
What is image of a point ?When we want to reflect a point with respect to x-axis, the value of ordinate is negated. Reflection with respect to x-axis does not alter the value of abscissa but the ordinate value changes.
(i) The image coordinates of the point (2, -5) under reflection in the x-axis are (2, 5). This signifies that the point's x-coordinate remains constant while its y-coordinate changes sign (from negative to positive).
(ii) The image of the point (-3/2, -1/2) under reflection in the x-axis has the coordinates (-3/2, 1/2). This signifies that the point's x-coordinate remains constant while its y-coordinate changes sign (from negative to positive).
(iii) The image coordinates of the point (-7, 0) under reflection in the x-axis are (-7, 0). This signifies that the point's x-coordinate remains constant while its y-coordinate remains constant (zero).
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The complete question is: 1. Find the co-ordinates of the images of the following points under reflection in the x- axis:
(i) (2, -5)
(ii) (-3/2, -1/2)
(iii) (-7, 0)
multiple QUESTIONS PAY 100 with brainiest
Question 1(Multiple Choice Worth 2 points)
(Circumference MC)
The circumference of a circle is 98.596 millimeters. What is the radius of the circle? Use 3.14 for π.
197.2 mm
49.3 mm
31.4 mm
15.7 mm
Question 2(Multiple Choice Worth 2 points)
(Circumference LC)
What is the circumference of a circle with a radius of 14 feet? Use 22 over 7 for π.
2,464 feet
616 feet
88 feet
44 feet
Question 3(Multiple Choice Worth 2 points)
(Circumference MC)
The diameter of a hat is 4.7 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
1.50 inches
7.38 inches
17.34 inches
14.76 inches
Question 4(Multiple Choice Worth 2 points)
(Circumference MC)
Two restaurants offer customers large pizzas using different measurements for diameter.
Restaurant 1: One large 14-inch pizza for $12.99
Restaurant 2: One large 36.83-centimeter pizza for $12.99
If 1 inch = 2.54 centimeters, what is the length of the crust around the larger pizza, using π = 3.14?
115.65 inches
22.77 inches
43.96 inches
45.53 inches
Question 5(Multiple Choice Worth 2 points)
(Circumference LC)
What is the circumference of the circle? Use 3.14 for π.
circle with a segment drawn from the center of the circle to a point on the circle labeled 3 inches
9.42 inches
18.84 inches
28.26 inches
88.74 inches
Question 6(Multiple Choice Worth 2 points)
(Circumference LC)
What is the circumference of the circle in terms of π?
circle with a segment drawn from one point on the circle through the center to another point on the circle labeled 8 yards
8π yards
4π yards
64π yards
25.12π yards
Question 7(Multiple Choice Worth 2 points)
(Circumference MC)
A soda company would like to replace the label on a can of soda with a radius of 4 and one fourth cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
187 over 14 cm
187 over 7 cm
187 over 56 cm
187 over 28 cm
Answer:
1. D
2. C
3.D
4.D
5.C
6. A
7.B
If the point (1,a) lies on the line y = 3x - 5, what is the value of a?
Answer:
a = - 2
Step-by-step explanation:
Since the point (x, y) = (1, a) lies on the line, substituting this value of x = 1 should give the corresponding value of y which is a
y = 3x - 5
At (1, a)
a = 3(1) - 5
a = 3 - 5
a = - 2
Answer
please check if my answers are correct in these algebra questions
The value of the expressions will be:
x + y + x + y + 2x + 2z.= 4x + 2y + 2z
6a² - 5a²b - 4a² - 3a²b = 2a² - 8a²b
2(x + 3y) - 2x = 6y
3x(2 + x) - x² = 2x² + 6x
How to calculate the expressionAn expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
The value of the expressions will be:
x + y + x + y + 2x + 2z
= 4x + 2y + 2z
6a² - 5a²b - 4a² - 3a²b
= 2a² - 8a²b
2(x + 3y) - 2x
= 2x + 6y - 2x
= 6y
3x(2 + x) - x²
6x + 3x² - x²
= 2x² + 6x
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what is the volume ?
so let's take a peek at the triangular pyramid, hmm it has a base of well, the base is a triangle, so we can say the triangle has a base of 10 and a height of 8, thus and area of (1/2)*10*8, and the pyramid has a height of 9.
[tex]\textit{Volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(10)(8)\\[1em] h=9 \end{cases}\implies V=\cfrac{1}{3}\left[ \cfrac{1}{2}(10)(8) \right](9) \\\\\\ V=\cfrac{1}{3}(40)(9)\implies V=\cfrac{360}{3}\implies V=120~m^3[/tex]
Solve this problem:
㏒₅₄168=?
If:
a = ㏒₇12
b = ㏒₁₂24
Answer:
㏒₅₄168 = (1+ab)/(8a-5ab)
Step-by-step explanation:
You want ㏒₅₄168 written in terms of a and b, where ...
a = ㏒₇12b = ㏒₁₂24Log expressionsThe rules of logarithms are relevant here:
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}\\\\\log(ab)=\log(a)+\log(b)[/tex]
In order to simplify the writing in what follows, we want to define ...
p = log(2)q = log(3)r = log(7)Now, we can write the equations ...
a = log(12)/log(7) = (2p+q)/r . . . . . . . . . [eq1]
b = log(24)/log(12) = (3p+q)/(2p+q) . . . [eq2]
Using these, we can solve for p and q:
2p +q = ar . . . . . . . . . . . . . [eq3], from [eq1]
(3 -2b)p +(1 -b)q = 0 . . . . . [eq4] from [eq2]
Using your favorite solution method for linear equations, you find ...
p = ar(1 -b)/(2(1 -b) -(3 -2b)) = ar(1 -b)/(2 -2b -3 +2b) = ar(b -1)
q = (-ar(3 -2b)/(-1) = ar(3 -2b)
Desired logarithmSubstituting these expressions into ...
[tex]\log_{54}{168}=\dfrac{\log{(2^3\cdot3\cdot7)}}{\log{(2\cdot3^3)}}=\dfrac{3p+q+r}{p+3q}\\\\=\dfrac{3ar(b-1)+ar(3-2b)+r}{ar(b-1)+3ar(3-2b)}=\dfrac{3ab-3a+3a-2ab+1}{ab-a+9a-6ab}\\\\=\boxed{\log_{54}{168}=\dfrac{1+ab}{8a-5ab}}[/tex]
__
Additional comment
The calculator confirms the result.
Choose the best method for solving and solve. Show your work.
y=-2x+17
y=8-x
Answer:
x = [tex]-3[/tex]; y = 11
Step-by-step explanation:
These two equations are linear simultaneous equations. They can be solved either by substitution, elimination or graphical method:
Substitution:
[tex]y = 8 - x[/tex] ------- (equation i)
[tex]y = 2x + 17[/tex] ---- (equation ii)
Substitute (equation i) into (equation ii):
[tex]8 - x = 2x + 17[/tex]
Bring all the like terms together. In addition x has to be isolated and made the subject of the equation:
[tex]8 - 17 = 2x + x[/tex]
[tex]-9 = 3x[/tex]
x = [tex]-\frac{9}{3}[/tex]
∴ x = [tex]-3[/tex]
Substitute this value of x in any of the equations to solve for y:
[tex]y = 8 - (-3)[/tex]
[tex]y = 8 + 3[/tex]
∴ y = 11
This ordered pair of [tex](-3, 11)[/tex] is a solution for both linear simultaneous equations. In addition, this particular pair is known as the 'point of intersection'.
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game? $ per game
The number of glow-bowling costs per game on Friday is $0.75 per game more than on Saturday.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. Then the rate is given as,
⇒ $22.50 / 5
⇒ $4.5 per game
But the early-bird special on Saturday morning offers 8 games for $30. Then the rate is given as,
⇒ $30 / 8
⇒ $3.75 per game
The difference is given as,
D = $4.5 - $3.75
D = $0.75 per game
The number of glow-bowling costs per game on Friday is $0.75 per game more than on Saturday.
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Justice rents a car for a deposit of $50 and $20 a day. When he turns it in he owes $490. How many days did he have the car?
Justice had the rented car for 22 days, when the rent per day is $20 with $50 deposit.
What do we mean by rent?Rent is a periodic payment made by a tenant to a landlord in exchange for the use of land, building, apartment, office, or other property. A payment or series of payments made by a lessee to an owner in exchange for the use of machinery, equipment, etc.
According to the information in the question:
Deposit = $50
Rent cost per day for the car = $20
Total amount that Justice has to pay = $490
∴ Total number of days that Justice kept the car = (490 - 50)/20
= 440/20
= 22 days
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The number of days did he have the car are 22.5 days.
Explain about rent.a set monthly fee that you pay to utilise someone else's space, including their home, car, television, etc. Because my room is larger than the other renters', I pay a higher rent or more rent.
According to question:Justice rented a car for a deposit of $50 and a daily rate of $20. When he returned the car, he owed $490.
To find out how many days he had the car, we can set up an equation:
$50 + (number of days x $20) = $490.
Solving for the number of days: number of days = ($490-$50)/$20 = 22.5 days.
So Justice had the car for approximately 22.5 days.
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anet wants to solve the equation y + StartFraction y squared minus 5 Over y squared minus 1 EndFraction = StartFraction y squared + y + 2 Over y + 1 EndFraction. What should she multiply both sides of the equation by?
y
y2 – 1
y + 1
y2 + y + 2
y² - 1 should be multiplied on both sides to solve the equation.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
(y² - 5) / (y² - 1) = (y² + y + 2) / (y + 1)
This can be written as,
y² - 1 = (y + 1) (y - 1)
So,
Multiplying y² - 1 on both sides.
(y² - 1) x (y² - 5) / (y² - 1) = (y² - 1) x (y² + y + 2) / (y + 1)
(y² - 5) = (y² + y + 2) (y - 1)
y² - 5 = y³ + y² + 2y - y² - y - 2
y² - 5 = y³ + y - 2
y³ - y² + y - 2 + 5
y³ - y² + y + 3
Thus,
Multiplying y² - 1 on both sides will solve the equation.
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HELP PLEASE LOOK AT IMAGEE BELOW
Answer:
y = 7x -9
Step-by-step explanation:
This is a linear equation.
The change in y over the change in x is 9. The y-intercept will be (0, -9).
If you follow the pattern as x is -1 and you go up 1 to zero, the the y goes up 7 from -16 to get -9
Answer:
y = 7x - 9
Step-by-step explanation:
y = 7x - 9
Let checks
-16 = 7(-1) - 9
-16 = -16
-23 = 7(-2) - 9
-23 = -23
So, y = 7x - 9 is the correct answer.
Six percent commission on first $10,000. Eight percent commission over $10,000. Find the total graduated commission on $13,200.
An amount of $ 13,200 has a total comission of 856.
How to determine the total comission for an amount of money
Herein we find the case of the calculation of a comission for an amount of money, where an interest rate of six percent is applied for first $ 10.000 and an interest rate of eight percent is applied for the excedent above $ 10.000. The total comission is determined by following mathematical equation:
C = 10,000 · (6 / 100) + (13,200 - 10,000) · (8 / 100)
C = 856
The graduate must pay a total comission of $ 856 for an amount of $ 13,200.
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Tuga has 2⅔ pounds of sweet potatoes. She needs 40 ounces of sweet potatoes to make chili. Which statement explains if Tuga has enough sweet potatoes to
make chili? (1 pound = 16 ounces)
Answer:
Step-by-step explanation:
Convert pounds to ounces:
2[tex]\frac{2}{3}[/tex] = 2.667
2.667 lb x 16 oz/lb = 42.7 oz
42.7 > 40, therefore Tuga has enough sweet potatoes to make chili
35. Solve the equation and check your solution: -2(x + 2) = 5 - 2x
Answer:this equation is not right.so,it does not have any solutions
Step-by-step explanation:
because if we try to solve it we get,
-2x-4=5-2x
-4-5=-2x+2x
-9=0
so,this equation is not right.
Answer:
equation has no solution
Step-by-step explanation:
- 2(x + 2) = 5 - 2x ← distribute parenthesis on left side
- 2x - 4 = 5 - 2x ( add 4 to both sides )
- 2x = 9 - 2x ( add 2x to both sides )
0 = 9 ← false statement
this false statement indicates the equation has no solution
What is 6d greater than or equal to -84
Answer:
d ≥ - 14
Step-by-step explanation:
6d ≥ - 84
Divide by 6 both sides
6d/6 ≥ - 84/6
d ≥ - 14
Prepare to analyze the data (step 1): identify and classify the variable(s) you will use. Here is the list of variables in the data set. Use the menu to the right of each variable to: Indicate whether the variable is relevant to the questions we are investigating, and Identify the variable as either categorical or quantitative. Gender Alcohol Height Cheat
Indicating whether the variable is relevant to the questions, and Identifying the variable as either categorical or quantitative.
Gender - Categorical and Nominal Alcohol - QuantitativeHeight - QuantitativeCheat - CategoricalRather than straightforward explanations. Anything may be measured using it. It can also do mathematical calculations, which is essential for data analysis.
To completely understand all of the facets of quantitative data, statistical analysis—the discipline of obtaining, analysing, and presenting enormous volumes of data to uncover patterns and trends—is used. This calls for quantitative analysis employing a wide variety of data.
Categorical data is data that may be arranged into groups or categories using names or labels.
The approach is based on algorithms that assess each component of a data collection individually, compare them to other individual data sets, and look for particular similarities.
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Complete question:
identify and classify the variable(s) you will use.Here is the list of variables in the data set. Use the menu to the right of each variable to: Indicate whether the variable is relevant to the questions we are investigating, and Identify the variable as either categorical or quantitative. Group of answer choices
Gender [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Alcohol [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Height [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Cheat [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitativeben and chris start at the same time from places 96miles apart to cycle toward each other, ben at 16mph and chris at 12mph. if ben rests for 1/2 hour on the way, after how many hours will they meet?
Ben and Chris will meet after 3.5 hours.
What is the LCM?The least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Given:
Ben and Chris start at the same time from places 96 miles apart to cycle toward each other,
Ben at 16mph and Chris at 12mph.
The LCM of 12 and 16 is,
= 48.
So, they will meet after 3.5 hours.
Therefore, they will meet after 3.5 hours.
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Which expression is equivalent to
(3x^2 + 2x - 4) + (5x^2 - 4x + 5) ?
8x^2 + 6x + 9
8x^2 + 2x + 1
8x^2 - 2x + 1
8x^2 + 6x + 9
Answer:
8x^2-2x+1
explaniationfirst remove the bracket 3x^2+2x-4+5x^2-4x+5then collect like term3x^2+5x^2+2x-4x-4+5 then the answer will be 8x^2-2x+1 thank you!!!!!How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
400 students are asked how they travel to school.
45% of the students take the bus to school.
The remaining students travel by car or walk to school.
20 more students walk than travel by car.
How many students walk to school?
Answer:
120 student
Step-by-step explanation:
We know
45% of the students take the bus to school
100% - 45% = 55%
So, 55% travel by car or walk to school
400 x 0.55 = 220 students
So, 220 student travel by car or walk to school
We know
20 more students walk than travel by car
220 - 20 = 200 students
200/2 = 100 students
100 + 20 = 120 students
So, 120 students walk to school
(35) MOVIE RENTALS The number of copies of a movie rented at a video kiosk decreased at a constant rate of 5 copies per week. The 6th week after the movie was released 4 copies were rented. How many copies were rented during the second week?
Answer:
25 copies rented
Step-by-step explanation:
r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start
we know on the 6 weeks passed and 4 copies were rented
4 = r1 - 5(6)
4 = r1 - 30; add 30 on both sides
34 = r1
r = 34 - 5t now plug t = 2 in for this function
r = 34 - 5(2)
r = 35 - 10
r = 25 copies rented
i need to find 2 standard form equations that represent the table.
We can find the two linear equations by using the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
For the first equation:
Using the first point (-2, 8), we have m = (y2 - y1) / (x2 - x1) = (-3 - 8) / (-2 - (-2)) = -11/0, which is undefined. This means the first line is a vertical line.
The equation can then be written as x = -2, since the x-coordinate is constant.
For the second equation:
Using the second point (-1, 4), we have m = (y2 - y1) / (x2 - x1) = (-2 - 4) / (-1 - (-2)) = -2.
The equation can then be written as y - 4 = -2(x + 1), or y = -2x - 2.
Thus, the system of linear equations is:
x = -2
y = -2x - 2
Written in standard form:
x + 0y = -2
-2x + y = -2
Enter the common ratio for the geometric sequence below. 4 , 8 , 16 , . . .
Answer:
its ×2
Step-by-step explanation:
4×2 = 8
8×2=16
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there are 'b' daffodil bulbs in a bag. i buy 4 bags, but 5 of the bulbs have gone bad and will not grow. if i still have 55 bulbs that will grow, calculate the number of bulbs in each bag.