The graph shows the mass of the bucket containing liquid depends on the volume of liquid in the bucket. Use the graph to find the range of the function.
Answers
From the graph, the range of the function in the graph is; 0 ≤ M ≤ 6.5
What is the range of the graph Function?
The range of a function is the set of all possible output values for which the function still exists.
Now, from the graph, we can see that it is a linear graph that starts on the vertical axis with a coordinate of approximately (0, 1) which denotes 1 kg when the volume is 0 liters.
Now, we see that the line of the graph stops at the coordinate (7.5, 6.5) which denotes 6.5 kg when the volume is 7.5 liters.
Therefore the maximum mass is 6.5 kg while the minimum is 0 kg. Thus,;
Range; (0 ≤ M ≤ 6.5)
Read more about Range of function at; https://brainly.com/question/10197594
#SPJ1
Related Questions
Carson Company has an inventory turnover of 13.00, and its inventory amounts to $5,000,000. What is the amount of cost of goods sold?
Answers
$6,50,000 is the cost of the goods sold.
What is Inventory turnover?By dividing a company's cost of sales, or cost of goods sold, by its inventory turnover, one can determine how well it uses its inventory (COGS).
The number of times inventory is sold or used over a given time frame, like a year, is referred to as the inventory turnover in accounting. It is calculated to determine whether a company has an excessive amount of inventory in relation to its level of sales.
Inventory turnover is the count of times a company's stock is sold during the course of a month, a quarter, or (most frequently) a year of business.
We should apply the following formula to calculate the cost of goods sold:
Cost of goods sold / inventory equals inventory turnover.
Rearranging the equation and replacing the unknown values results in:
Inventory plus inventory turnover equals cost of goods sold.
Price of items sold = $5,000,000 divided by 13
$6,50,000 is the cost of the goods sold.
To learn more about Inventory turnover from given link
https://brainly.com/question/18914383
#SPJ13
a local boys club sold 156 bags of mulch and made a total of $455 it's sold two types of mulch hard word for $3.25 a bag in Pine Box for $2.75 a bag how many bags of each kind did it sell
Answers
Let's define first the variables.
let H be the number of bags of the type that cost 3.25 and P the number of bags of the type that cost 2.75.
since they sold a total of 156 bags we have that H+P=156
and from the other condition we obtain 3.25H+2.75P=455
now we can solve the system of equations.
from the first equation H=156-P
substituing the previous equality in the second one we obtain:
[tex]3.25(156-P)+2.75P=455[/tex][tex]507-3.25P+2.75P=455[/tex][tex](2.75-3.25)P=-53[/tex][tex]0.5P=53[/tex][tex]P=106[/tex]now that we have P, we can replace it in the first equation obtaining that H=50
then the answer will be that they sold 50 bags of $3.25 and 106 bags of $2.75
For triangle ABC, ∡c=90°, b=5, and ∡A=72°. Draw and label a diagram for this triangle, then find the measures of the remaining angles and sides. Explain how you found each measure.
Answers
The angle A is given 72 degree and angle C is given 90 degree.
The side b is 5.
Then the right triangle is given
Use the property , the sum of the angles of the property is the 180 degree.
[tex]90^{\circ}+72^{\circ}+\angle B=180^{\circ}[/tex][tex]\angle B=180^{\circ}-90^{\circ}-72^{\circ}[/tex][tex]\angle B=18^{\circ}[/tex]Then the angle B is 18 degree.
Then to determine side a , use the tan trigonometric function.
[tex]\tan 72^{\circ}=\frac{a}{5}[/tex][tex]a=5\times tan72^{\circ}=15.38[/tex]The side a is 15.38.
Now to determine the side c, use the trigonometric function sin .
[tex]\sin 72^{\circ}=\frac{a}{c}=\frac{15.38}{c}[/tex][tex]c=\frac{15.38}{\sin 72^{\circ}}=16.18[/tex]The side c is 16.18.
Each day. you run at a rate of traveled, in miles, is given by the amount of time you run to If you ran for 22 traveed miles enter your
Answers
we have the following:
[tex]\begin{gathered} v=\frac{d}{t} \\ d=v\cdot t \end{gathered}[/tex]where d is distance, t is time and v is velocity, replacing:
[tex]\begin{gathered} d=22\cdot06 \\ d=13.2 \end{gathered}[/tex]therefore, the distance is 13.2 miles
Write a recursive formula for the following arithmetic sequence.1, 12, -25, -38, ...a 1=an= for n ≧2
Answers
First, let's see the progression of the sequence of numbers
As you can see from the second term the sequence continues with a constant change of -13 which means d=-13.
The answers will be the expressions inside the red square box in each case.
Calculate the standard score of the given X value, X=83, where μ=88.1 and σ=87. Round your answer to two decimal places.
Answers
The standard score for the given X value is -0.06
Standard Score
Standard score or Z - Score is inversely varies with the standard deviation and directly varies with the difference of the raw score and the mean score.
The formula to calculate standard score is
z - score = (X - μ)/σ
Where
Z = standard score
x = observed value
μ = mean of the sample
σ = standard deviation of the sample
Given,
Here we have the value of X = 83, μ=88.1 and σ=87.
Now, we need to find the standard score for this values and we have also round off the result to two decimal places.
Apply the given values on the z-score formula, then we get,
z-score = (83 - 88.1)/87
When we simplify the numerator, then we get,
z - score = -5.1/87
After the division of these numbers we get the value of z-score as,
z - score = -0.0586
When we round off the result into two decimal place then we get the value of standard score as -0.06.
To know more about Standard score here.
https://brainly.com/question/24210074
#SPJ1
Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking price of used entry-level road bikes
advertised online in the southeastern part of the United States. He obtains a random sample of n = 14 online advertisements of
entry-level road bikes. He determines that the mean price for these 14 bikes is x = $714.19 and that the sample standard
deviation is s = $184.56. He uses this information to construct a 99% confidence interval for µ, the mean price of a used road
bike.
What is the lower limit of this confidence interval? Please give your answer to the nearest cent.
What is the upper limit of this confidence interval? Please give your answer to the nearest cent.
Answers
1. The lower limit of this confidence interval is $587.13.
2. The upper limit of this confidence interval is $841.25.
How are the lower and upper limits determined?The lower limit describes the lowest price that entry-level road bikes will cost.
The upper limit refers to the highest price that entry-level road bikes can command.
Using the lower and upper limits, Randy can confidently estimate the range of the asking price of the used entry-level road bikes.
N = 14
Mean price, µ = $714.19
Sample deviation = $184.56
Confidence interval = 99%
The z-score of 99% confidence interval = 2.576
The margin of error = z-score x (standard deviation/√n)
= 2.576 x ($184.56/√14)
= $127.06
Lower Limit = µ - margin of error
= $714.19 - $127.06
= $587.13
Upper Limit = µ + margin of error
= $714.19 + $127.06
= $841.25
Thus, Randy can estimate that the price of used entry-level road bikes is $714.19 ±$127.06 at a 99% confidence level.
Learn more about the lower and upper limits of confidence intervals at https://brainly.com/question/17102070
#SPJ1
Simplify (2.6 x 10-6) + (3.2 x 10-2) (1.94 x 10-4) write answer in scientific notation
Answers
Answer:
[tex]8.808 \times 10^{-6}[/tex]
Step-by-step explanation:
Given expression:
[tex](2.6 \times 10^{-6})+(3.2 \times 10^{-2})(1.94 \times 10^{-4})[/tex]
The grouping of numbers by parentheses in a different way does not affect their product. Also, changing the order or position of the product of two numbers does not change the end result.
[tex]\implies (2.6 \times 10^{-6})+(3.2 \times 1.94 \times 10^{-2} \times 10^{-4})[/tex]
Multiply the numbers 3.2 and 1.94:
[tex]\implies (2.6 \times 10^{-6})+(6.208\times 10^{-2} \times 10^{-4})[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies (2.6 \times 10^{-6})+(6.208\times 10^{-2-4})[/tex]
[tex]\implies (2.6 \times 10^{-6})+(6.208\times 10^{-6})[/tex]
Factor out the common term 10⁻⁶:
[tex]\implies 10^{-6}(2.6+6.208)[/tex]
Add the numbers 2.6 and 6.208:
[tex]\implies 10^{-6}(8.808)[/tex]
[tex]\implies 8.808 \times 10^{-6}[/tex]
Scientific notation is written in the form a × 10ⁿ , where 1 ≤ a < 10 and n is any positive or negative whole number. Therefore, the final answer is in scientific notation.
Find the LCM of 18, 54, and 63.
Answers
Answer:
378
Step-by-step explanation:
Start with prime factoriazation
18 = 2 * 3 * 3
54 = 2 * 3 * 3* 3
63 = 3 * 3 * 7
2 * 3 * 3 * 3 * 7 = 378
what is the distance between point A (-1, 3) and point B(-8, 3. A 2 units B 5 units C 7 units D 9 units.
Answers
the distance between (-1, 3) and (-8, 3) is 7 units (rounded to the nearest 100th)
Write the equation x2 + y2 + 6x + 8y + 24 = 0 in vertex form.
Answers
ANSWER
[tex](x+3)^2+(y+4)^2=1[/tex]EXPLANATION
We want to write the equation of the circle in vertex form:
[tex]x^2+y^2+6x+8y+24=0[/tex]The first step is to group the x terms and y terms together and take the constant to the right-hand side of the equality sign:
[tex]x^2+6x+y^2+8y=-24[/tex]Now, complete the square for the x terms:
[tex]\begin{gathered} x^2+6x+(\frac{6}{2})^2+y^2+8y=-24+(\frac{6}{2})^2 \\ x^2+6x+9+y^2+8y=-24+9 \\ (x+3)^2+y^2+8y=-15 \end{gathered}[/tex]Repeat the process for the y terms:
[tex]\begin{gathered} (x+3)^2+y^2+8y+(\frac{8}{2})^2=-15+(\frac{8}{2})^2 \\ (x+3)^2+y^2+8y+16=-15+16 \\ (x+3)^2+(y+4)^2=1 \end{gathered}[/tex]That is the equation of the circle in vertex form.
Line a is parallel to line b. Line a contains the points (3, 4) and (6, 7). Line b contains the points (2,8) and (6. y). What is the value of y?A7B11С12D24
Answers
parallel lines have the same slopes. Therefore,
[tex]m_1=m_2_{}_{}_{}[/tex][tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{7-4}{6-3}=\frac{3}{3}=1[/tex][tex]m_2=1[/tex]Y can be found below
[tex]\begin{gathered} 1=\frac{y-8}{6-2} \\ 1=\frac{y-8}{4} \\ 4=y-8 \\ y=4+8 \\ y=12 \end{gathered}[/tex]Which expression is equivalent to -0.26v + v - 0.07?(answer choices are below)
Answers
To simplify the expression
-0.26v + v - 0.07
we will only add the ones with variable v
0.74v -0.07
The correct option is
0.74v - 0.07
Write each rational number as a decimal. If there’s no phone number, make sure to include a zero in the beginning. So if your answer is 0.7 make sure to put the zero in the beginning.
Answers
Calculate the given division, as shown below
Therefore, 33/40 is equal to 0.825. The answer is 0.825
5. Stabiliţi dacă numerele următoare sunt prime: 37, 93, 123, 377, 602, 769, 1 243, 1999.
Answers
Answer:
Numere prime:37,377,769,1243,1999
Sunt numere prime deoare au ca divizori doar 1 si ei insusi
What number should go in the gap to factorise this expression?
6x+14= (3x+7)
Answers
The number that should go in the gap to factorise the given expression is 2
Factorizing an expressionFrom the question, we are to determine the number that should go in the gap in order to factorise the given expression.
The given expression is
6x + 14
To determine the number that should go in the gap,
First we will factorize the given expression
6x + 14
The greatest common factor (GCF) of 6 and 14 is 2
Thus,
We can factor out 2 as follows
2(3x + 7)
The factored form of the expression is 2(3x + 7)
Learn more on Factorizing an expression here: https://brainly.com/question/1332739
#SPJ1
If g(x)=5 x, h(x)= √ x, find the composition.
(g ° h)(0)
(g ° h)(0) = ____
Answers
The value of the composite function (g ° h)(0) is equivalent to zero.
Composite functionsA function that is composed of further functions, each of which serves as the input to the next.
Given the function below;
g(x) = 5x
h(x) = √x
Determine the composite function (g o h)(x)
(g o h)(x) = g(h(x))
(g o h)(x) = g(√x)
g(√x) = 5√x
Substitute the value of x to have:
(g o h)(0) = 5√0
(g o h)(0) = 0
This gives the required value
Learn more on composite function here: https://brainly.com/question/10687170
#SPJ4
What is the solution to the system?
2x+3y=1
-2x-y=9
A (-7,5)
B (5,-3)
C (5,-7)
D (-3,5)
Answers
Answer:
A
Step-by-step explanation:
Adding the equations,
[tex]2y=10 \implies y=5 \\ \\ \therefore 2x+3(5)=1 \implies x=-7[/tex]
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two small fries have a total ofapplication
Answers
Problem
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two small fries have a total of 1,330 calories. How many calories does each item contain?
Solution
For this case we can set up the following notation
x= number of cheeseburgers
y= small fries
4x +5y= 2310
3x + 2y= 1330
From the first equation we can solve for x and we got:
x= 577.5 - 5/4 y
And now we can replace this into the second equation and we got:
3(577.5 -5/4 y) +2y= 1330
And we can solve for y:
1732.5 - 15/4 y + 2y = 1330
-7/4 y = -402.5
y= 230 cal
And solving now for x we have:
x= 577.5 - 5/4 (230) = 577.5 - 287.5 = 290 cal
Graph the line that is parallel to the line
2x-3y = -9 and passes through the
point (-3, 5).
Answers
y = 2/3x + 7 is slope-intercept form of the equation .
What exactly does slope intercept mean?
A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form.The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.the equation of the parallel line in slope intercept form y=mx+b so that we can clearly see the slope and y intercept
2x-3y = -9
3y = 2x + 9
y = 2/3x + 9/3
y = 2/3x + 3
compare equation y = mx + c
slope = 2/3
to find c put x = -3 and y = 5
y = mx + c
5 = 2/3 * (-3) + c
5 = -6/3 + c
c = 5 + 2 = 7
put the final equation together
y = 2/3x + 7
Learn more about slope intercept form
brainly.com/question/9682526
#SPJ13
Consider the sample space of the following experiment:We roll two dice and each time we record numbers on both of them.How many elements are in the sample space?
Answers
Answer: 36
One die has a total outcome of 6 elements (1, 2, 3, 4, 5, 6). Now, if we roll two dice, each time you roll a number on the first die, there are another 6 possible outcomes for the second die.
Therefore, the number of elements in the sample space would be:
[tex]6\times6=36[/tex]There would be 36 elements in the sample space.
Which of the following criterion will accurately complete the proof in step 4
Answers
2.
[tex]\begin{gathered} \angle RAG\text{ and }\angle RET\text{ are vertical angles} \\ \Rightarrow\angle RAG\cong\angle RET \end{gathered}[/tex]The reason for 2 is 'the angles are vertical'.
3. In the diagram below, we can identify the alternate interior angles more easily
Therefore, Therefore, the statements of the third step are
[tex]\begin{gathered} \angle AGR\cong\angle ETR \\ \text{and} \\ \angle GAR\cong\angle\text{TER} \end{gathered}[/tex]Finally, the corresponding angles of triangles GRA and TRE are all congruent; thus, the two triangles are congruent because of the AA similarity criterion. The answer is AA similarity criterion. The length of the sides is not involved in the demonstration.
FIND SLOPE AND Y INTERCEPT EASY QUESTION WILL GIVE BRAINLIEST ANSWERRRR HELPPP URGENT DUE IN A FEW MINUTESS
Answers
Simplify the equation 4x+9y = -9 in slope-intercept form of equation.
[tex]\begin{gathered} 4x+9y=-9 \\ 9y=-4x-9 \\ y=-\frac{4}{9}x-\frac{9}{9} \\ =-\frac{4}{9}x-1 \end{gathered}[/tex]So slope of line is -4/9 and int
What is the image point of (-1, -3) after the transformation D₂ o T 4.-5?
Answers
The image of the point after the transformation is (2, -7)
How to image of the point after the transformation?The given parameters are:
Point = (-1, 3)
Transformation rule:
D₂ o T 4.-5
The above means that
Dilation by a scale factor of 2Followed by a translation of (4, -5)When these transformations are combined, we have
(x, y) = (2x + 4, 2x - 5)
So, the mathematical representation of this transformation is
(x, y) = (2x + 4, 2x - 5)
Substitute the equation Point = (-1, -3) in the equation (x, y) = (2x + 4, 2x - 5)
So, we have the following equation
(x, y) = (2(-1) + 4, 2(-1) - 5)
Evaluate the product
(x, y) = (2, -7)
Hence, the image is (x, y) = (2, -7)
Read more about dilation at
brainly.com/question/3457976
#SPJ1
Which of the following equations is not exponential?
Y=1^x
Y=(1/2)^x
Y=-2^x
Answers
The first equation given in the question as, y = 1^x is not exponential.
What do you mean by exponential?
A mathematical function with the form f (x) = a^x is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's base and must be bigger than 0. The transcendental no., or roughly 2.71828, is the most often used exponential function on regular basis.
The equation, y = 1^x is not an exponential because for any integer value of x, y always equals to zero. Which makes it simple equation and not an exponential equation.
To know more about exponential, go to link
https://brainly.com/question/2456547
#SPJ13
Solve for x. Represent your answer on a number line.½x − 3 < − 4
Answers
The equation is
[tex]\frac{1}{2}x-3<-4\Rightarrow\frac{x}{2}<-4+3\Rightarrow\frac{x}{2}<-1\Rightarrow x<-2[/tex]Therefore x<-2. The number line representation is
Simplify the expression. Show your work. Please help me!!!
Answers
[tex] \sqrt{ \frac{4 {x}^{2} }{3y} } \\ = \frac{ \sqrt{4 {x}^{2} } }{ \sqrt{3y} } \\ = \frac{ \sqrt{4 } \times \sqrt{ {x}^{2} } }{ \sqrt{3y} } \\ = \frac{2x }{ \sqrt{3y} } [/tex]
ATTACHED IS THE SOLUTION
Answer:
The image is the answer
Step-by-step explanation:
Find the sector area of the circle. Use 3.14 for the value of pi
Answers
Given:
Radius of the cirle = 11 ft
Angle = 150 degrees
π = 3.14
Let's find the area of the sector of the cicle.
To find the area of the sector, apply the formula:
[tex]A=\frac{\theta}{360}\times\pi r^2\text{ }[/tex]Where:
π = 3.13
θ = 150 degrees
r = 11
Thus, we have:
[tex]\begin{gathered} A=\frac{150}{360}\times3.14\times11^2 \\ \\ A=\frac{150}{360}\times3.14\times121 \end{gathered}[/tex]Solving further:
[tex]\begin{gathered} A=0.41667\times3.14\times121 \\ \\ A=158.3ft^2 \end{gathered}[/tex]Therefore, the sector area of the circle is 158.3 square feet.
ANSWER:
158.3 square feet.
online you found the shoes you want to buy for 30% off the regular price is $150. this is the first time you have ordered from this site they're offering an additional 20% off for the first time customers was your final price list shoes after the discounts?
Answers
If we apply the first discount the shoes would have a price of:
[tex]150-150\cdot0.3=105[/tex]To this pice we make the 20% discount, then:
[tex]105-105\cdot0.2=84[/tex]Therefore, after the discounts the price would be $84
Solve the equation for x. −0.28x − 15.3 = 1.92 x = 61.5 x = −61.5 x = 47.8 x = −47.8
Answers
The value of x in the linear equation −0.28x − 15.3 = 1.92 is -61.5 option (B) -61.5 is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The linear equation one variable is:
−0.28x − 15.3 = 1.92
-0.28x = 1.92 + 15.3
-0.28x = 17.22
x = -17.22/0.28
x = -61.5
Thus, the value of x in the linear equation −0.28x − 15.3 = 1.92 is -61.5 option (B) -61.5 is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Answer:
its B -61.5
Step-by-step explanation:
i attched pictures to show you