Answer:
Moses got into the elevator at the 8th floor.
Step-by-step explanation:
Let's call the floor which Moses started at x. Going down decreases the floor number and going up increases the floor number. We then form the equation \(x-5+6-7=2\) which is the same as \(x-8=0\) which means \(x=8\). Moses got in at the 8th floor.
What is the slope of A line parallel to the line whose equation is 6x+9y=216
Which graph represents a function?
Answer:
B
Step-by-step explanation:
a function happens when there is exactly one output given for every input
Branliest plzzzzz
Write the equation of the line parallel to the line y = 2x + 7 and having the
y-intercept 4
Answer:
Step-by-step explanation:
l
Answer:y=1x+4
Step-by-step explanation:
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
Alard Company produces blenders and coffee makers. During the past year, the company produced and sold 65,000 blenders and 75,000 coffee makers. Fixed costs for Alard totaled $340,000, of which $184,000 can be avoided if the blenders are not produced and $142,500 can be avoided if the coffee makers are not produced. Revenue and variable cost information follows:
The preparation of the segmented income statement for Alard Company is as follows:
Alard Company
Segmented Income StatementFor the past year.
Blenders Coffee Makers Total
Sales revenue $1,560,000 $2,175,000 $3,735,000
Cost of sales 1,170,000 2,025,000 3,195,000
Contribution margin $390,000 $150,000 $540,000
Avoidable fixed costs $184,000 $142,500 $326,500
Unavoidable fixed costs 13,500
Net income $206,000 $7,500 $200,000
What is segmented income statement?Segmented income statement is a financial statement showing the financial performances of different business segments or product lines.
The purposes of preparing a segmented income statement are to show the individual contributions to the net income of the company from the various segments and to enable management decide on the profitability and discontinuance of the segments.
Blenders Coffee Makers Total
Production and sales units 65,000 75,000
Fixed costs $184,000 $142,500
Unavoidable fixed costs = $13,500 ($340,000 - $326,500)
Selling price per unit $24 $29
Variable expense per unit $18 $27
Contribution per unit $6 $2 ($29 - $27)
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Question Completion:Blenders Coffee Makers
Selling price per unit $24 $29
Variable expense per unit $18 $27
Prepare segmented income statements.
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 65 specimens and counts the number of seeds in each. Use her sample results (mean = 77.3, standard deviation = 5.5) to find the 80% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).80% C.I. =Answer should be obtained without any preliminary rounding.
The answer is (76.42 ; 78.17)
Given that:
A botanist is attempting to determine how many seeds are typically present in a particular fruit. She collects 65 samples and counts how many seeds are present in each. Using her sample data, the mean is 77.3 and the SD is 5.5.
Sample size, n = 65
Mean, xbar = 77.3
Standard deviation, s = 5.5
Confidence level, Zcritical at 80% = 1.28
Confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.28 * 5.5/sqrt(65)
Margin of Error =0.873
Lower boundary = 77.3 - 0.873 =76.42
Upper boundary = 77.3 + 0.873 = 78.17
Therefore, the answer is (76.42 ; 78.17)
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Water is pumped out of the conical tank with vertex down and radius 8 ft and height 20 ft. If the volume is decreasing at a rate of 4 ft^3sec :
how fast is the depth of the water decreasing when the water is 9 ft deep? (Note: Don't approximate the answer and state its exact value in terms of π.)
It took approximately 151 seconds to decrease 9 ft water in conical tank.
The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h
When the water is 9 ft deep
= (1/3) ×3.14×(8)²×(9)
= 602.88 ft³
We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:
Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec
= 602.88/4
= 150.72 sec
Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.
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I NEED HELP NOW!!!!what is 5+5?!?!?!!
Answer: its 20 bro i got you
Step-by-step explanation:
If m∠EBA = x + 7 and m∠EBF = 3x - 1, find x.
Answer:
x = 21
Step-by-step explanation:
ABF is a right angle and m∠EBA + m∠EBF = m∠ABF
3x - 1 + x + 7 = 90 add like terms
4x + 6 = 90 subtract 6 from both sides
4x = 84 divide both sides by 4
x = 21
can somebody help me !
Answer:
\( \angle 1\)
Step-by-step explanation:
\( \angle 1\) is not congruent to \( \angle 6\)
Which equation is represented by the graph?
A:
y= (£-1)+3
B:
4=(¢- 32+1
C:
9=-¢+32_1
D:
4=-¢- 32+1
Answer:
C: y = -(x +3)² -1
Step-by-step explanation:
You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.
Vertex formFor vertex (h, k), the vertex form equation of a parabola is ...
y = a(x -h)² +k
Given that (h, k) = (-3, -1), the equation will have the form ...
y = a(x -(-3))² + (-1)
y = a(x +3)² -1 . . . . . . . . . . matches choice C
The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.
y = -(x +3)² -1
__
Additional comment
Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.
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The following data shows the ages of a students in a Macroeconomics Class. 18 21 33 18 19 19 22 20 19 45 18 19 19 22 19 23 24 18 19 25 21 19 18 20 18 18 21 59 18 17 1. Construct a frequency distribution of the above data using the intervals: O<10, 10<20, 20<30, 30<40, 40<50, 50<60 2. Construct a histogram from the above distribution. (Label your axes). 3. Construct a frequency polygon from the above distribution. (Label your axes) (Combine with #2). 4. Construct a relative frequency distribution from the data. (Label your classes.) 5. Construct a pie chart to illustrate #4. (Label each section of the pie).
A pie chart can be created by representing the relative frequency distribution data as a circle, where each interval is represented as a slice with the size proportional to its relative frequency.
Frequency distribution:
O<10: 0
10<20: 8
20<30: 4
30<40: 2
40<50: 1
50<60: 1
The histogram can be created by plotting the frequency distribution data on a bar graph where the x-axis represents the intervals, and the y-axis represents the frequency count.
The frequency polygon can be created by plotting the midpoints of the intervals on the x-axis and the frequency count on the y-axis, and connecting the plotted points with line segments.
The relative frequency distribution can be calculated by dividing the frequency count of each interval by the total number of observations and multiplying by 100.
O<10: 0/20 x 100 = 0%
10<20: 8/20 x 100 = 40%
20<30: 4/20 x 100 = 20%
30<40: 2/20 x 100 = 10%
40<50: 1/20 x 100 = 5%
50<60: 1/20 x 100 = 5%
The sizes of the slices can be labeled to represent the corresponding percent of total observations.
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Write the congruence statements represented by the markers in each diagram
The congruence statements
PS= QR<PSQ= <QRP
<UTV= <VWX<TUV= <XWV
What is Congruence?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.
Given:
From the Figure
PS= QR
<PSQ= <QRP
and, from another figure
<UTV= <VWX
<TUV= <XWV
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If a^1/2=r then which of the following are true statements
For exponential equation a^1/n = r option D is true i.e. r^n=a.
What are exponential equations?
Exponents are used in exponential equations, as the name implies. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. But what happens if a number is variable? When the power is a variable in an equation, it is referred to as an exponential equation.
For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations.
Exponential equations are classified into three categories. These are :
Equations on both sides with the same base. (For instance, 4^x = 4^2)Equations that may be constructed to have the same base. (For example, 4^x = 16 can be represented as 4^x = 4^2.)Equations that cannot be constructed to have the same base. (For instance, 4^x = 15.As given,
a^1/n=r
Now we take 1/n from left side of exponential equation to right side i.e.
a=r^n (As a^1/2 = 4 ---> a=4^2)
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what is circumference?
The distance/measurement around a circle.
What are the roots of the equation? 2x2+x=6 Select each correct answer.
Answer:
x = 2
Step-by-step explanation:
2x2=4
4+2=6
6=6
There hope that is what you are looking for
NO LINKS!! Please help me with this statement Part 2mm
Answer:
y = 2x² + 8x - 5--------------------------------------
Vertex form of a quadratic function:
y = a(x - h)² + k, where (h, k) is vertex and a - constantGiven (h, k) = (-2, -13) and a point (0, - 5).
Substitute all into equation and solve for a:
-5 = a(0 - (-2))² - 13-5 = 4a - 134a = 13 - 54a = 8a = 2The parabola is:
y = 2(x + 2)² - 13Convert it to the standard form:
y = 2(x + 2)² - 13y = 2(x² + 4x + 4) - 13y = 2x² + 8x + 8 - 13y = 2x² + 8x - 5Answer:
\(f(x)=2x^2+8x-5\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)
Given:
Vertex = (-2, -13)Point = (0, -5)Substitute the given vertex and point into the Vertex formula and solve for a:
\(\implies -5=a(0-(-2))^2+(-13)\)
\(\implies -5=a(0+2)^2-13\)
\(\implies -5=4a-13\)
\(\implies 4a=8\)
\(\implies a=2\)
Substitute the given vertex and found value of a into the Vertex formula:
\(y=2(x+2)^2-13\)
The standard form of a quadratic function is f(x) = ax² + bx + c
Expand the function in vertex form to standard form:
\(\implies y=2(x^2+4x+4)-13\)
\(\implies y=2x^2+8x+8-13\)
\(\implies y=2x^2+8x-5\)
Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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Can anybody help me with these three problems thank you
Answer:
1) 1/7
2) 1/3
3) 1/4
Step-by-step explanation:
1) Since there are 7 days in a week it can be expressed as the fraction 1/7
2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3
3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4
UGHHHHH SOMEONE PLEASE ANSWER THIS!
GIVING BRANLIST TO FIRST ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A) -3 1/2 = Yes
B) -1.5 (is the same as -1 1/2) = No
C) -1/4 (is a quarter) = Yes
D) 3/2 (is basically 1 1/2) = No
E) 2 1/4 (is basically 2 and a quarter) = No
F) 4 2/3 = Yes
Step-by-step explanation:
Hope this helps :)
Please let me know if I'm somehow wrong, thank you.
Answer:
I think it's
A yes
B no
C yes
D no
E no
F yes
Step-by-step explanation:
♥ I hope this helps ♥
180 students went on the annual class trip in 2016. 256 students went on the class trip in 2018. What is the percent of increase from 2016 to 2018? Round to the nearest whole percent.
need help!!! due soon!
Answer:
42%
Step-by-step explanation:
256-180 = 76
X/100 = 76 /180
42%
Use the points H(-4,3) and K (4,3)
Use the correct function to find the missing angle y measurement to the
nearest whole degree. Then using the checkboxes, select the function you
used, and the answer you found rounded to the nearest degree. (SELECT
2 ANSWERS - READ CAREFULLY) Work points are build into the results. *
18 in
yo
20 in.
Cos
Tan
64 degrees
Sin
42 degrees
26 degrees
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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Ms. Howard has a class of 17 students she can spend $18on each student to buy math supplies for the year she first buys all of her students calculators which costs a total $169.15 after buying the calculators how much does she have left to spend on each student?
Answer:
ms.howard has $8.05 left per student
Find the value of b help me please
Answer:
\( b = \sqrt{2} \)
Step-by-step explanation:
\( \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} \)
Answer:
sqrt(2)
Step-by-step explanation:
A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together?
Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.
He wants to end up with a 44 mL solution, so
x + y = 44 mL
Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain
0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL
of acid.
Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives
0.04x + 0.15 (44 mL - x) = 5.28 mL
0.04x + 6.6 mL - 0.15x = 5.28 mL
1.32 mL = 0.19x
x ≈ 6.95 mL
==> y ≈ 37.05 mL
Which division problem does the number line below best illustrate?
A. 10 divided by 2= 5
B. 15 divided by 3= 5
C. 50 divided by 5= 10
D. 20 divided by 10= 2
Answer:
A. 10 divided by 2=5 i think
Step-by-step explanation:
it look like it is
During the first half year M.Brown salary was $150000 each month he saved $3600 monthly during that time and spent the rest. How much did he spend?
he spend $878400 during the first half year
Question 7
11 (a) Georgia is 4 feet 2 inches tall.
There are 12 inches in a foot.
Use the conversion, 1 inch = 2.5 centimetres, to convert Georgia's height into metres.
Answer:
1.27
Step-by-step explanation:
In Centimeter It's 127 Just Put A Decimal! :)