The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle. Use the formula, area =length*width.
Answer:
width =20
length = 1
Step-by-step explanation:
length = w - 19
A = l*w
20 = (w-19) * w
20 = w^2 - 19w
Subtract 20 from each side
0 = w^2 - 19w - 20
Factor
0 = (w+1)(w-20)
Using the zero product property
w+1 = 0 w-20 = 0
w = -1 w=20
Widths cannot be negative
w=20
l = 20-19 = 1
Please help me
Find the value of x.
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
please answer thank u i give brainliest to best answer
Answer:
A, B, C,
Step-by-step explanation:
Just use a calculator...?
a)
\(2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\\)
b)
\(3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}\)
c)
\(4^4*4^-^3=\frac{4^4}{4^3}=4^1=4\)
d)
\(5^3*5^-^1=\frac{5^3}{5^1}=5^2=25\)
e)
\(6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}\)
f)
\(8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}\)
divide 16 into the ratio 3:5
Answer:
\(6,10\)
Step-by-step explanation:
Method 1:
\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 1:
\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 2:
\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
review the graph. a ship is traveling according to the vector shown. what is the ships directional bearing?
Answer:
D on edge i got it right
Step-by-step explanation:
By reviewing the graph, when the ship is traveling so here the ship's direction should be 60 degrees west.
What is a vector?In terms of mathematics, the vector means the quantity where it does contain both magnitude and direction but does not involved the position. It involved the examples like velocity and acceleration.
According to the given graph, the movement of the ship is in south west direction along with angle 60 degrees
So, here option d is correct.
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
Based on the placement results, the student should first start with Math 100, followed by Math 102+ and Math 111, to progress towards Math 103E.
The typical progression for math courses in many educational institutions is as follows:
Math 100: This course is usually an introductory or remedial math course designed to build fundamental math skills. It covers topics such as basic arithmetic, algebraic operations, and problem-solving techniques. It is often a prerequisite for higher-level math courses.
Math 102+: The exact name and content of this course may vary depending on the institution. However, based on the placement result, it is likely a more advanced math course compared to Math 100. It could cover topics such as algebra, functions, trigonometry, or calculus basics. It serves as a stepping stone to higher-level math courses.
Math 111: This course is typically a precalculus course that focuses on mathematical concepts and techniques required for calculus. It covers topics such as functions, graphs, exponential and logarithmic functions, trigonometry, and basic calculus principles. Successful completion of Math 111 is usually a prerequisite for enrolling in calculus courses.
Math 103E: This course, as mentioned, is specifically mentioned as Math 103E. Without additional context, it is not possible to provide specific details about this course. However, it is likely an introductory calculus course or a calculus course with a specific focus or application (as denoted by the "E" in the course code). It may cover topics such as limits, derivatives, integrals, and their applications.
Based on the given placement results, the student should start with Math 100 to build the foundational math skills. After successfully completing Math 100, they can progress to Math 102+ to further enhance their math knowledge. Following that, they should enroll in Math 111 to solidify their precalculus knowledge. Finally, after successfully completing Math 111, the student will be prepared to take Math 103E, the calculus course they are aiming for.
It is important for the student to consult with their academic advisor or refer to the specific curriculum and prerequisites at their institution to ensure they are following the correct course sequence.
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Pls help!!!
Find the solution set of the inequality with the given replacement set:
20x - 4 > 24, x = {0, 1, 2, 3}
Answer:
{2,3}
Step-by-step explanation:
as when we solve we will get 7/5
that is 1.5
and x > 1.5
so answer is 2 and 3
plz mark as brainliest if it helps
The data below lists the number of pages Tamara read and the time it took her to read them. Tamara read 25 pages in 36 minutes. Tamara read 48 pages in 63 minutes. Tamara read 52 pages in 74.5 minutes. Determine which table below represents a two-column table for the given data. Pages Time 25 36 48 63 74.5 52 Pages Time 25 36 63 48 52 74.5 Pages Time 36 25 63 48 74.5 52 Pages Time 25 36 48 63 52 74.5
The table that represents the two-column table for the data in this problem is given below.
How to build the two-column table?As the own name of the table states, the two-column table is composed of two-columns.
The table's columns are described as follows:
Left column: input variable.Right column: output variable.The following are the input and output variables for this issue:
Minutes of time are the input variable.
The read-pages variable is an output variable.
The table then has four rows, as seen below:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
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This is a table that depicts the two-column table used for the data in this challenge:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
How is a two-column table constructed?The two-column table is made up of two columns, as indicated by the table's own name.
The columns of the table have been described as follows:
Input variable is in the left column.
Output variable is in the right column.
The issue's input and output variables are as follows:
The input variable can be described as the number of minutes.
An output variable is the read-pages variable.
The table has four rows after that, as seen below:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
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A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school? 100 POINTS!!!
Answer:
210750 unitsStep-by-step explanation:
Given function:
p(x) = 0.4x² - 19xThe profit if 750 students are enrolled:
p(750) = 0.4(750²) - 19(750) = 210750 units of moneyThe equation is
p(x)=0.4x²-19xPut x=750
p(750)=0.4(750)²-19(750)=$210750
Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 70 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 648 total miles?
Answer:
Distance already traveled by Ed =212=212 miles
Also, Ed is driving at a rate of 70 miles per hour.
Distance == Speed × Time
Distance traveled by Ed in xx hours =63x=63x
Total distance traveled by Ed =212+70x=212+70x
Also, total distance traveled by Ed is 648 648 miles.
Therefore,
648=212+70x648=212+70x
A single filer had a taxable income of $90,725. Base on table, what is is the tax?
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
need help with my math please <3
Answer:
wth that's hard I can't answer that
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
what number multiplied by 0.5, Multiplied by 1/3, square the number, add one, equals 50?
Answer:
42
Step-by-step explanation:
Let that number be x
x is multiplied by 0.5, 1/3, then squared
(0.5/3 x)^2
Add 1: (0.5/3 x)^2 +1
Make it equal to 50
: (0.5/3 x)^2 +1 = 50 now solve
(0.5/3 x)^2 =50-1
(0.5/3 x)^2 =49
square root both sides ending up with:
0.5/3 x=7
solve for x
x=42
GOOD LUCK AND HOPE IT HELPS:))
The test scores for a math class are shown below. 81, 85, 82, 93, 85, 84, 95, 87, 88, 91 39. What are the mean, median, and mode of the data set?
A farmer needs to construct twO adjoining rectangular pens of identical areas (15 points) showa in the figure below . If each pen is to have an area of 1200 square feet, what dimeosions will minimize the length of fencing? 1200 sq: ft. 1200 sq. ft,
A farmer needs to construct two adjoining rectangular pens with each pen is to have an area of 1200 square feet. So dimeosions will minimize the length of fencing is length = 40 ft and width = 30 ft.
Determine dimeosions will minimize the length of fencingFor pictures of two rectangular pens, see the attachment.
Area of rectangle = length × width
A = x × y
1200 = xy
y = 1200/x
The entire length of the fence
P = 3x + 4y
P = 3x + 4 (1200/x)
P = 3x + 4800/x
P = 3x + 4800x⁻¹
Find dimentions will minimize the length of fencing, if P' = 0.
P = 3x + 4800x⁻¹
P' = 3 - 1 × 4800x⁻¹⁻¹
0 = 3 - 4800x⁻²
4800x⁻² = 3
4800/x² = 3
4800 = 3x²
x² = 4800/3
x² = 1600
x = 40
y = 1200/x
y = 1200/40
y = 30
So dimeosions will minimize the length of fencing is length = 40 ft and width = 30 ft.
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Convert 2x=y-10 to linear equation
Answer:
The equation is already in linear form.
If you meant to rewrite the equation it's
Slope intercept forum:
y = 2x + 10
Standard Form:
2x - y = -10
O GRAPHS AND FUNCTIONSWriting equations of lines parallel and perpendicular to a given.
The equation of lines parallel and perpendicular given is, y = 2x - 15
Write equations of lines parallel and perpendicularStandard slope-intercept notation for parallel or perpendicular lines is
y = mx + b. (where "m" stands for the slope, and "b" represents the y-intercept). The slope is the only factor that distinguishes linear equations for parallel and perpendicular lines.
In other words, the sum of the reciprocal slopes of perpendicular lines is negative, or -1.
x+2y = -1
2y = -1-x
y = -1-x /2
Slope = -1/2
The slope of the perpendicular line is = 2
y-y₁ = m(x-x₁)
y = mx + b
-5 = 2(5) + b
-5 = 10 + b
-5- 10 = b
-15 = b
y = mx+ b
-5 = 2(5) + b
-5 = 10 + b
-15 = b
y = mx + b
y = 2x - 15
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There are 80 sixth graders, 90 7th graders, and 70 8th graders at your school. Every student gets entered in a raffle. What is the probability that a 7th grade student will win the raffle?
Answer:
P(seventh grade winner) = 3/8
Step-by-step explanation:
For linear function f, f(2)=0 and f(4)=-6.
Write function f in slope-intercept form.
The function f(x) in slope-intercept form is Y= −3X−10.
In the given question, linear function f, f(2)=0 and f(4)=-6.
We have to write function f(x) in slope-intercept form.
We have to find equation for f(x)
f(2)=0, and f(4)=−6,
Now we have to find slope
Slope(m)=−6−0/4−2
m = −6/2
m=−3
Now the general equation of line is
Y=MX+C
where M = slope of the line, C is the Y intercept value, X is independent variable and Y is dependent variable.
At point (2,4)
4 = (−3)×(2)+C
4 = −6+C
Add 6 on both side, we get
C = 10
Equation for f(x) is.
Y=(−3)X−(10)
Y= −3X−10
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Help me with this question no explanation needed or just give it to me
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
Find the quotient of 4 1/8 and 2 1/5
Given
\(4\frac{1}{8}\text{ and 2}\frac{1}{5}\)Find
Quotient
Explanation
Now to find quotient , we need to divide these numbers
\(\begin{gathered} 4\frac{1}{8}\div2\frac{1}{5} \\ \\ \frac{4\times8+1}{8}\div\frac{2\times5+1}{5} \\ \\ \frac{33}{8}\div\frac{11}{5} \\ \\ \frac{33}{8}\times\frac{5}{11} \\ \frac{15}{8} \\ \\ 1\frac{7}{8} \end{gathered}\)Final Answer
Therefore , the quotient is 1 .
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
determine whether a proptional linear relationship exists between the two quantities shown in the graph
The equation of the proportional quantities is
y = m x, where
m is the rate of change
This equation represented graphically by a line passes through the origin point (0, 0)
From the graph, the line intersected the y-axis at point (0, 90)
Then the quantities do not represent a proportional linear relationship
Let us house the correct answer
The right answer is b
Con base en el siguiente texto, responde la pregunta 7. Los ángulos de un
hexágono miden: x, 2x, 3x, 6x, 8x y 10x.
7. ¿Cuál es el valor de x en grados?
A) 24°
B) 6°
C) 12°
D) 180
Answer:
c
Step-by-step explanation:
Determine whether the set W is a subspace of R^3 with the standard operations. If not, state why. (Select all that apply.) W = {(x1, 1/X1, X3): X1 and X3 are real numbers, X1 0} A. Wis a subspace of R3. B. Wis not a subspace of R3 because it is not closed under addition. C. W is not a subspace of R3 because it is not closed under scalar multiplication
No, In order for a set W is not a subspace of\(R^3\)because it does not satisfy the closure property required for a subspace, which is closure under addition and scalar multiplication.
In order for a set W to be a subspace of\(R^3\), it must satisfy two requirements. The first requirement is closure under addition, which means that when two elements of W are added together, the resulting sum must also be an element of W. The second requirement is closure under scalar multiplication, which means that when an element of W is multiplied by a scalar, the resulting product must also be an element of W. However, the set W defined in the question does not satisfy either of these requirements, which means it is not a subspace of\(R^3\) with the standard operations. For example, when two elements of W are added together, the resulting sum does not necessarily satisfy the constraints of the set W. This means that the set W is not closed under addition, and therefore is not a subspace of \(R^3.\) Furthermore, when an element of W is multiplied by a scalar, the resulting product does not necessarily satisfy the constraints of the set W. This means that the set W is not closed under scalar multiplication, and therefore is not a subspace of\(R^3.\)
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in order to be approved for a home loan a lending institution uses the standard 28/36 ratio. Jared's loan application is for $180,000. Jared has an annual salary of $56,400, a car
mayment of $270 per month and he has a monthly student loan payment of $90. How likely is Jared to be approved for the home loan?
O Very likely, recurring debt is considerably less than what is allowed.
O Somewhat likely, recurring debt is very close to what is allowed.
O Not likely, recurring debt is higher than what is allowed.
O There is not enough information given to determine the answer.
The likelihood of getting the loan cannot be ascertained. Hence the answer is D. There is not enough information given to determine the answer.
What is the information aboutTo determine whether Jared is likely to be approved for the home loan, it would be necessary to calculate his debt-to-income ratio, which is one of the main factors that lenders consider when evaluating loan applications. This ratio is calculated by dividing a person's total recurring monthly debt payments by their gross monthly income. If the debt-to-income ratio is higher than 28% or 36% (depending on the lender), the loan application may be declined.
Based on the information provided, it is not possible to determine Jared's debt-to-income ratio. In order to determine the ratio, it would be necessary to know Jared's gross monthly income, which is not provided. Therefore, it is not possible to say whether Jared is very likely, somewhat likely, or not likely to be approved for the home loan.
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Which congruency statement is correct?
Ο ΔΜΟΡ ΔBAD
Ο ΔΜΟΡ ΔΑΒD
Ο ΔΜΟΡ ΔDAB
Ο ΔΜΟΡ ΔDΒΑ
Answer:
Hey! Your answer should be C. MOP ≈ DAB
What is the name of the Platonic solid shown below?
A. Hexahedron
B. Dodecahedron
C. Tetrahedron
D. Octahedron
Answer: c
Step-by-step explanation: The cube represents the earth, the octahedron represents the air, the tetrahedron represents the fire, the icosahedron represents the water, and the dodecahedron represents the universe
The name of the platonic solid shown is hexahedron.
What are different types of solids?Tetrahedron - A tetrahedron, also referred to as a triangle pyramid, is a polyhedron with four triangular faces, six straight edges, and four vertex corners in geometry.
Hexahedron - Any polyhedron with six faces is called a hexahedron.
Octahedron - An octahedron is a polyhedron with eight faces in geometry.
Dodecahedron - In geometry, a dodecahedron or duo decahedron is any polyhedron with twelve flat faces.
The figure given in the question has clearly six flat faces and hence according to the definitions it is a hexahedron.
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The complete question is attached.
A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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