The dependent variable represented on the graph is the Total Cost
How to determine the dependent variable?From the question, we have the following parameters that can be used in our computation:
x-axis = Daysy-axis = Total CostAs a general rule:
The variable represented on the y-axis is the dependent variable
From the given parameters, we have
x-axis = Daysy-axis = Total CostThis means that
y-axis = Dependent variable
This can also be expressed as
Dependent variable = Total Cost
This means that the dependent variable is Total Cost
Read more about dependent variable at
https://brainly.com/question/8100970
#SPJ1
pls help due tommaorw
(i also have other unanswered questions posted)
Mabel is creating a mural on a building wall that is 40ft tall and 50ft wide. Her original drawing is 2ft tall and 2.5ft wide. What scale factor will Mabel use to enlarge the design?
Answer:
Mabel will use scale factor of 20 to enlarge the design.
{ If you do need explanation, Please inform me.}
which of the following statements is a proposition? (a) get me a glass of milk (b) god bless you! (c) what is the time now? (d) the only odd prime number is 2
The proposition ststement is: the only prime number that is odd is 2.
The correct answer is an option (d)
In this question we have been given some statements.
we need to identify the proposition statement.
We know that a proposition is a declarative statement. In mathematics proposition gives a clear inference of whether a sentence is true or false. The proposition statement cannot be stated in two ways. The statement must be either correct or incorrect.
a) get me a glass of milkshake.
It is a commanding statement.
b) god bless you!
It is a type of optative statement.
c) what is the time now?
It is a question sentence.
d) the only odd prime number is 2.
It is a false proposition statement.
Therefore, option (d) is a proposition statement.
Learn more about the prime number here:
https://brainly.com/question/9315685
#SPJ4
Here is part of a recipe for different-size cakes, showing the ratio of eggs to flour.
Make a table that represents the same situation.
eggs : 0 2 4 6
flour (cups) : 0 1.5 3 4.5
question, we have to calculate the ratio by dividing a by b we will get the ratio as [tex]\frac{4}{3}[/tex].
What is a ratio formula?Using the ratio formula, ratios can be represented as a fraction. The ratio formula for any two quantities says a and b, is a:b = a/b. Because a and b are individual amounts for two portions, the total quantity is given as (a + b).
How do you calculate the ratios of a recipe?Known Total Amount
Determine the total quantity to be produced.
Determine the total number of parts in the ratio.
Divide the total quantity made by the total number of parts to get the amount per part.
Calculate the amount of each ingredient by multiplying each component by the amount per part.
Given:
Here is the ratio of eggs to flour
Eggs(a) 0 2 4 6
Flour(b) 0 1.5 3 4.5
For the table look at the image.
as per the question, we have to calculate the ratio by dividing a by b we will get the ratios as [tex]\frac{4}{3}[/tex].
To know more about Ratios visit:
https://brainly.com/question/13419413
#SPJ4
PLEASE THIS IS SERIOUS
Solve for x
A) a wooden block is formed in a the shape shown by cutting a right rectangular solid from a larger one. What is the volume of the block
B) check your calculations by using a second method to solve the problem
The volume of the rectangular block in this problem is given as follows:
1300 cm³.
How to obtain the volume of the block?The block is a rectangular prism, hence it's volume is given by the multiplication of it's dimensions, as follows:
V = length x width x height.
The dimensions for this block are given as follows:
Length: 16 cm.Width: 10 cm.Height: 10 cm.However, there is a small rectangular block that is removed from the prism, with the dimensions given as follows:
Length: 6 cm.Width: 10 cm.Height: 5 cm.Hence the volume of the rectangular block can be calculated as follows:
V = 16 x 10² - 6 x 5 x 10 = 1300 cm³.
(total volume subtracted by the removed volume from the empty space at the middle).
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1
1 - ? = 1/7 <- fraction
Fill in the missing value
6/7
Step-by-step explanation:
1 - x = 1/7
- x = 1/7 - 1
- x = 1/7 - 7/7
- x = -6/7
x = -(-6/7)
x = 6/7
thus,
1 - 6/7 = 1/7
In AABC, b = 620 cm, ZC=106° and ZA=48°. Find the length of a, to the nearest
centimeter.
The length of A in the triangle is obtained as follows:
a = 282.74 cm.
How to obtain the missing side length?The first step in obtaining the missing side length is obtaining the measure of the missing angle.
The sum of the measures of the internal angles of a triangle is of 180º.
The angle measures for this triangle are given as follows:
106º.48º.26º. (as the sum of the three measures is of 180º).Then we have that:
The length of 620 cm is opposite to the angle of 106º.The length of a is opposite to the angle of 26º.Then the length of a is obtained applying the law of sines as follows:
sin(26º)/a = sin(106º)/620
Applying cross multiplication, we have that:
a = 620 x sin(26º)/sin(106º)
a = 282.74 cm.
More can be learned about the law of sines at brainly.com/question/4372174
#SPJ1
Answer:
the real answer is 1051
Step-by-step explanation:
in triangle ABC, AB = 6 cm, BC = 13cm and angle ACB = 23 degrees. Calculate angle BÁC, which is obtuse.
Answer:
[tex]\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]
Step-by-step explanation:
[tex]\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]
how do you solve this?
According to Euclidean geometry, the geometric system consisting in isosceles triangle has an angle x whose measure is equal to 74°.
How to solve a variable in an isosceles triangle
In this problem we find a geometric system consisting in a triangle, where two sides are congruent and the measure of an angle equals 74°.
According to Euclidean geometry, a triangle represented by the geometric system, with such features represents an isosceles triangle, that is, a triangle with two congruent sides and two congruent angles between the base side and each of the two congruent sides. Thus:
m ∠ x = 74°
x = 74°
Therefore, the measure of angle x, opposite to the angle whose measure is 74°, must be also equal to 74°.
The measure of angle x associated with the geometric system consisting in an isosceles triangle is equal to 74°.
To learn more on isosceles triangles: https://brainly.com/question/29774496
#SPJ1
I need help!! Please if you know how!!
Answer:
Step-by-step explanation:
Answer: 2
Answer:2
Step-by-step explanation:
a publisher reports that 52% of their readers own a personal computer. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 340 found that 49% of the readers owned a personal computer. is there sufficient evidence at the 0.02 level to support the executive's claim?
First, state the null and alternate hypothesis for the hypothesis test
H0:p=0.52
Ha:p≠0.52
z=pˆ−p/√p(1−p)/n
z= pˆ−p divided by the square root of p(1−p) divided by the sample (n)
z= 0.49^-0.52/ √0.52 ( 1- 0.52) / 340 = -2.24
z=-2.24
When using rejection regions, we reject the null hypothesis, H0, if:
z<−zα for a left-tailed test
z>zα for a right-tailed test
|z|>zα/2 for a two-tailed test
Thus the decision rule is: Reject the null hypothesis, H0, if |z|>2.33.
Since the absolute value of the z test statistic, 2.24, is less than the critical value, 2.33, we fail to reject the null hypothesis.
To know more about null and alternate hypothesis refer to:
brainly.com/question/28920252
#SPJ4
Help me with this question please!!
Answer:
∠1 = 19°∠2 = 76°Step-by-step explanation:
You want to know the measure of angle 1 given that angle 2 is four times angle 1, and their sum is 95°.
Angle sum theoremThe angle sum theorem tells you the whole is equal to the sum of the parts.
∠1 +∠2 = ∠WXZ
Using the given information, we can write ...
∠1 + (4×∠1) = 95°
5×∠1 = 95° . . . . . . . . collect terms
∠1 = 19° . . . . . . . . . divide by 5
Then angle 2 is ...
∠2 = 4×∠1 = 4×19°
∠2 = 76°
What is the value of 5/9 ÷ 5/6? Responses
Answer:
2/3 or 0.667
Step-by-step explanation:
5/9 ÷ 5/6
5/9 * 6/5
1/3 * 2/1 (after cancelling off)
= 2/3
90°
bº
aº
110°
what is the value of a+b?
The value of a+b is 67.5+52.2=120.1 degree.
Which is the value of B?
The middle number, the one immediately following the x, is the b-value. A and C are also numerals, much as the letter B. These can all have any number. They all work together to show you how the quadratic function will be graphed. If you haven't used your y = mx + b equation in a while, dust it off and use the three values you were given for x, y, and m to solve for the b-value, which is the value of the y-intercept. The equation is then solved for the last variable: b, the y-value intercept's.
[tex]\begin{aligned}& 360-90=270 \\& 270-2=135 \\& 180-135=45 \\& \frac{45}{2}=22.5 \\& 90-22.5=67.5 \\& b=67.5^{\circ}\end{aligned}[/tex]
90 *67.8+a 110 =360
To learn more about number visit:https://brainly.com/question/17429689
#SPJ1
What number line represents the solution set for
Answer:
4th one
Step-by-step explanation:
Hope that helps.
What is the order of this matrix?
Answer: C
Step-by-step explanation:
It should be 5 x 3, considering that rows come before the columns.
Select the number of the algebraic expression for "The room capacity does not exceed 250".
c>250
c≥250
c<250
c≤250
c≠250
The algebraic expression for "The room capacity does not exceed 250" is D. c≤250
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
It should be noted that "the room capacity does not exceed 250" simply means it should be less than or equal to 250. This will be c≤250.
In conclusion, the correct option is D.
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true?
The true statements about the image of the parallelogram are,
The corresponding sides have different lengths.
The parallelograms are congruent.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A parallelogram in a coordinate plane is translated, rotated, and then reflected.
In the case of translation, rotation and reflection would only change its coordinate points, and the preimage and image will be congruent.
The coordinate points of the vertices would only change if given.
learn more about translation here :
https://brainly.com/question/12463306
#SPJ1
Which equation is parallel to the equation y = x + 1 and goes through the points (1, 5)
A. y=x+5
B. y=x-1
C. y=x+1
D. y=x+4
Answer: D. y=x+4
Step-by-step explanation:
1. The equation will have the same slope
2. Plug in the given point to find b, the y-intercept
Penny has 4 books she wants to read. If she randomly chooses one to read at a time, in how many different
sequences could she read all the books?
Your answer is :
Answer:
24
Step-by-step explanation:
referring to question 28, what is the value of a difference such that 60% of the age differences are less than it?
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
what is age difference ?If the age is expressed as a ratio, such as p:q, then qx and px are taken into account as the age. If you assume that you are x years old now, then n times that number is (xn) years. If you're assuming that x is the current age, then 1/n of that number will equal (x/n) years.
calculation
Let's say there is an age difference of x and y,
in which case the answer to question 28 should be 2.03 years:
(x-y)*60/100.
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
To know more about age difference visit :-
https://brainly.com/question/15693679
#SPJ4
What i the value?
1/4 - 1/2 ( - 4/7)
Anwer
1) - 1 5/16
2) - 3/7
3) 3/7
4) 1 5/16
Answer:
None of these
Step-by-step explanation:
[tex]\frac{1}{4}+\frac{1}{2} \cdot \frac{4}{7}=\frac{1}{4}+\frac{4}{14}=\frac{1}{4}+\frac{2}{7}=\frac{7+8}{28}=\frac{15}{28}[/tex]
the function f(x) goes through the point (-2,6). which of the following translation of f(x) will go through the point (3,5)?
option 1; f(x-5)+1
option 2; f(x+5)-1
option 3; f(x-5)-1
option 4; f(x+5)+1
Answer:
Option 3: the function that goes through the point (3, 5) is f(x-5)-1
Step-by-step explanation:
To find which function goes through the point (3, 5), we can substitute 3 for x and solve for the value of f(x).
For option 1, f(x-5)+1, we have:
f(3-5)+1 = f(-2)+1 = 6+1 = 7
For option 2, f(x+5)-1, we have:
f(3+5)-1 = f(8)-1 = ?
For option 3, f(x-5)-1, we have:
f(3-5)-1 = f(-2)-1 = 6-1 = 5
For option 4, f(x+5)+1, we have:
f(3+5)+1 = f(8)+1 = ?
Suppose Mr. Reed's class has 3 hours for presentations.
How many projects can be presented? Show your
solution by writing both a division equation and a
multiplication equation.
In 3 hour Mr. Reed can presents 15 presentations. The division equation and a multiplication equation are 3 ÷ 1/5 =15 and 3 × 5 = 15 respectively.
What is an equation of division?
Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety. The division operator and the numbers that are being divided will both be on one side. The other side displays the result of the division.
The 3 large rectangles represent the 3 hours.
Each presentation is 1/5 hour so each rectangle is divided into 5 equal sections.
From the model you can write the division equation: 3 ÷ 1/5 =15
You can also write the multiplication equation: 3 × 5 = 15
Both equations show 15 projects are presented in 2 hours.
To learn more about multiplication equation, click on below link:
https://brainly.com/question/18798172
#SPJ1
FINALS PLEAZ HEL One year after you start a savings account you have $480 in the account. You were adding $120 each year write a linear function in the form y=mx+b that models your savings account a each year t after you start the account
Answer:
y = 120t + 480
Step-by-step explanation:
See the attached image.
The value of x will be 1.17 inches and the maximum volume of the box is 1.6 cubic inches.
What is volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.
Given that the rectangular box is made from cardboard the thickness is x.
The length of the box will be,
L = 4.5 - 3x
The width of the box will be,
W = 4 - 2x
The thickness of the box is,
H = x
The volume of the box will be calculated as,
V = ( 4.5 - 3x) ( 4 - 2x ) (x)
V = ( 4.5 - 3x) ( 4 - 2x ) (x)
V = ( 18 - 12x - 9x + 6x² ) x
V = 6x³ -21x² + 18x
For maximum volume differentiate the volume with respect to x and get the value of x,
dV / dx = d / dx ( 6x³ -21x² + 18x ) = 0
d / dx ( 6x³ -21x² + 18x ) = 0
18x² - 42x + 12 = 0
3x² - 7x + 6 = 0
Solve the above quadratic equation as,
x = [ -b ±√(b² - 4ac) ] / 2a
x = [ -7 ± √ (-7² - 4 x 3 x 6 ) ] / ( 2 x 3 )
x = 1.17
The value of x is 1.17 inches by solving the above quadratic equation. The maximum volume will be calculated as,
V = 6x³ -21x² + 18x
V = 6(1.17)³ -21(1.17)² + 18(1.17)
V = 9.6 - 28.7 + 21.06
V = 1.96 cubic inches
The maximum volume is 1.96 cubic inches and the value of x is 1.17 inches.
To know more about volume follow
https://brainly.com/question/28950621
#SPJ1
what is the maximum width casket that will fit in a standard vault? 28 inches 32 inches 30 inches 26 inches
The maximum width Casket that will fit in a standard vault is 28 inches.
Standard measurements may vary significantly depending on the manufacturer.
Caskets normally measure 84 inches long, 28 inches broad, and 23 inches tall. Both wood and metal caskets often have the same proportions. Caskets are intended to fit into normal burial sites, which are generally 30-inches wide and may accommodate ordinary caskets as well as enlarged caskets of 28-inch and 29-inch dimensions.
Casket inside dimensions vary significantly; the metal caskets are typically 78 or 79 inches long and 23 or 24 inches broad.
A typical size casket/coffin is enough for the most majority of individuals. Standard caskets can typically (but not always) fit people up to 6'5" and 350 pounds, but we strongly advise you to speak with your funeral director to determine the precise casket size you require.
The maximum width Casket that will fit in a standard vault is 28 inches.
To know more about Casket refer to:
brainly.com/question/21569382
#SPJ4
What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
(Question 15)
Answer:
D
Step-by-step explanation:
when we have the zeroes, we can build the polynomial by multiplying factors that will turn the functional value to 0 at exactly these points.
f(x) = (x - 3)(x + 6)(x - 1)
we don't need to do the full multiplications to see that the constant term of the polynomial is the result of the multiplication of all 3 constant terms of the factors :
-3 × +6 × -1 = +18
and therefore, D is the correct answer (as it is the only answer option with +18 as constant term).
9x + 2 = 10x +7
solve for x
Answer:
The value of x is (-5)
Step-by-step explanation:
9x + 2 = 10x + 7
9x - 9x + 2 - 7 = 10x - 9x + 7 - 7
(-5) = x
x = (-5)
Thus, The value of x is (-5)