The given algebraic equation is:
\(\frac{5}{6}x=-\frac{1}{6}\)By cross-multiplying, we have:
\(\begin{gathered} 5x\times6=6\times-1 \\ 30x=-6 \\ \frac{30x}{30}=-\frac{6}{30} \\ x=-\frac{1}{5} \end{gathered}\)Hence, the correct option is option B
Which point on the number line shows the graph of 0.5?
Point A
Point B
Point C
Point D
Answer: D
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
it is between 0 and 1
The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?
Answer:7 /13
Step-by-step explanation:
How much will cost to buy beef for a family of 2 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?
Answer:
it will cost 5.99
Step-by-step explanation:
because each person getting half and there are 2 peeps so add up the meet to make on pound
f(x) = -x^2 + 6x - 10
Sketch the graph of each function.
(Please show work, I don’t understand).
Answer:
The graph would not be as able to see the form and/or function so hope this helps
3. Which of the following is a myth about financial aid ? a) you have to make a certain income to qualify b ) the # of people in your family is used to determine what you may qualify for C)your parents previous year tax return is used
4. Which is the correct order of the financial aid process ?
a) SAR, Financial Aid Package, FAFSA
b) Financial Aid Package, FAFSA, SAR
C) FAFSA, Financial Aid Package, SAR
d) FAFSA, SAR, Financial Aid Package
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Deb cut 25 feet of rope into pieces that were each 1/4ft long. How many of these pieces did Deb have after cutting the rope?
Answer:
100 pieces of rope
Step-by-step explanation:
Calculate the perimeter of the following shape.
6cm
y=
10 cm
12 cm
5 cm
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
10 cm + 12 cm + 5 cm + 6 cm
= 33 cm
i need help can someone help me right now!!!!!!
(a) | BD | bisects | AC | (reason : Given)
(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).
(c) ∠ABD ≅ ∠CBD (reason: | BD | bisects angle ABC)
(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)
What is the complete proof of the congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
From the first statement, we will complete the flow chart as follows;
line BD bisects line AC (reason : Given)
line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)
Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)
Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).
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Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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If two lines are the same, how many solutions will exist in the system of the equations with those two lines?
If two lines are the same then there are an infinite number of solutions because they intersect at all points along the line.
A collection of nickels, dimes, and quarters consist of 15 coins with a total of $2.00. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
PLS HELP!!! Ill give 20 points!!!
Answer:
Step-by-step explanation:
22.57 cm inches are the net weight of the slope
7
The venue for an outdoor summer concert was divided into 35 sections. The event planner randomly chose 8 sections and counted
the number of ice chests in the section, as shown below.
48, 51, 26, 73, 51, 48, 26,51
Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section?
The mean number of ice chests in a section is 46.75.
How do we find the mean number of ice chests?The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..
To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.
Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51
Sum of ice chests = 374
Mean number of ice chests will be:
= (Sum of ice chests) / (Total number of sections sampled)
= 374 / 8
= 46.75
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what’s the answerrrr
Total 135 bricks he will be used to make the chimney.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
X + 4X + 15 = 150
5X = 150 - 15
5X = 135
X = 135/5
X = 27.
Noah needs to use some of the bricks to make a chimney
Number of bricks used to make an arch 4x = 4 X 27 = 108
The total number of bricks he used = 27 + 108 = 135
Hence a Total 135 bricks will be used to make the chimney.
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Please help thank you
A point that best represent the location for them to put the science project is: A. (6.5, 6).
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) end points, we would add each point together and then divide by two (2):
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
By substituting the given end points into the formula for the midpoint of a line segment, we have the following;
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Midpoint = [(5 + 8)/2, (8 + 4)/2]
Midpoint = [(13)/2, 12/2]
Midpoint = (6.5, 6).
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On a normal day, 12 airplanes arrive at an airport every 15 minutes. Write a rate that represents this situation.
which gives us a rate of "4 airplanes per 5 minutes" or "4/5 airplanes per minute."
How to change minutes into hour?To change minutes into hours, you can use simple mathematical operations.
There are 60 minutes in one hour. Therefore, to convert minutes into hours, you can divide the number of minutes by 60.
For example, if you have 120 minutes, you can divide 120 by 60 to get 2 hours (120 ÷ 60 = 2). Similarly, if you have 90 minutes, you can divide 90 by 60 to get 1.5 hours (90 ÷ 60 = 1.5).
Here's the formula you can use:
Hours = Minutes ÷ 60
So, to change any number of minutes into hours, divide that number by 60
by the question.
On a normal day, 12 airplanes arrive at an airport every 15 minutes. Write a rate that represents this situation.
The rate of airplanes arriving at the airport can be expressed as "12 airplanes per 15 minutes" or "12/15 airplanes per minute."
We can simplify this fraction by dividing the numerator and denominator by 3,
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Which exponential function is the best fit for the data in the table? ( please help! )
These points are linear. Find the slope.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
A report on Americans' attitudes toward teachers' pay found that 82% of the respondents to the survey upon which the report is based think that teachers don't make enough money. Which factor is most relevant when evaluating this report? A. 49% of the respondents were women. B. 78% of the respondents were married. C. 51% of the respondents were men. D. 62% of the respondents were educators.
Answer:
I think the answer is A. 49% of the respondents were women
A hotel sets up tables for a conference for 156 people if each tables seats 12 people, how many tables will be needed?
What is the total surface area
Answer:
Step-by-step explanation:
Which expression is not equivalent to 8
Select the correct answer.
The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been
made to the account, which statement describes the account's growth?
Year 1- $1,200.00
Year 2- $1,260.00
Year 3- $1,323.00
Year 4- $1,389.15
A.
The account is growing exponentially at an annual interest rate of 10.25%.
B.
The account is growing linearly at an annual interest rate of 5.00%
C.
The account is growing exponentially at an annual interest rate of 5.00%.
D.
The account is growing linearly at an annual interest rate of 10.25%.
E.
The account is growing exponentially at an annual interest rate of 15.76%.
Does anyone happen to understand this? I don’t get it?
Answer: 2 aka B
Step-by-step explanation: the answers B :)
(x2 + 5x +4) × (x + 4)
׳+9x²+24×+16 ...............
Pre calculus
Help me
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?
Answer:
4.85 mailes can be running for runners
HELP ASAP PLEASE!!!
Over her summer break, Kim had to read a total of fifteen books before school started again in the fall. She tracked her progress weekly and made the following graph
According to the graph, about how many books did Kim read each week?
A 2/3
B 1 1/2
C 2 1/2
D 15
Answer:
1 1/5
Step-by-step explanation:
average book per week = the amount of books read / the amount of weeks
= 15/10 = 1 1/2
3.75 +9.25-(-4.75*0.5-0.2*2-3)
Answer:
-7.225 according to a calculator.