Answer:
a rotation 90 degrees clockwise of the orgin
Step-by-step explanation:
Which number below correctly represents 0.0005682 using scientific notation?
The scientific notation of the decimal number 0.0005682 is 5.682×10⁻⁴
What is Number system?A number system is defined as a system of writing to express numbers.
The given decimal number is 0.0005682.
We need to convert to the scientific notation.
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
The decimal number 0.0005682 is too small. So we are converting it to the scientific notation.
If we take the decimal value to the right side of 5.
Then scientific notation of 0.0005682 is 5.682×10⁻⁴.
Hence, 5.682×10⁻⁴ is the scientific notation of the decimal number 0.0005682.
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1. The volume of a cone is 125 π in³. The height is three times the length of the radius. What is the height of the cone?
a 20 inches
b 25 inches
c 18 inches
d 15 inches
Answer:
15
Step-by-step explanation:
Vcone = πr²h/3
125π = πr²(3r/3)
π cancels out, 3 cancels out leaving:
125 = r³
r = ∛125 = 3
h = 3r = 3 x 5 = 15
Select the correct answer.
Which graph represents the following equation?
y=x+5
Graph A
Graph C
Graph B
Graph D
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Graph C represents the equation y = x + 5.
What is meant by slope-intercept form?The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Let the equation be y = x + 5
The values of m = 1 and b = 5
The slope of the line exists the value of [tex]$$m_r$[/tex] and the y-intercept exists the value of b.
Slope: 1 and y-intercept: (0, 5)
Any line can be graphed utilizing two points. Select two x values, and plug them into the equation to estimate the corresponding y values.
Create a table of the x and y values.
x y
0 5
1 6
Graph the line utilizing the slope and the y-intercept, or the points.
Slope: 1
Therefore, the correct answer is option b) Graph C.
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Find the greatest common factor of 14 and 16
Answer:
the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is 2, because it is the only factor that can go with both of the numbers.
In the diagram below, AD || EG, m/BFC = 75° and m/FBC = 43°. Find
m/GFC.
Step
1
2
try m
Angle
m/BFC = 75°
m/FBC = 43°
D
O
75°
F
Select a Reason
Reason
Given
Given
43°
B
E
Use photo for more clear explanation PLEASE HELP
Applying the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.
What is the Alternate Interior Angles Theorem?If two angles are alternate interior angles formed along a transversal on two parallel lines, then their measures are congruent or the same.
What are Angles on a Straight Line?Angles on a straight line are angles that lie along a straight line, and the sum of the angles equals 180 degrees.
Given the following:
m∠BFC = 75°
m∠GFC = 38°
∠EFB, ∠BFC, and ∠GFC are angles on a straight line, therefore:
m∠EFB = 180 - m∠BFC - m∠GFC
Plug in the values
m∠EFB = 180 - 75 - 38
m∠EFB = 67°
Find the measure of angle FBC:
Angles FBC and EFB are alternate interior angles, therefore:
m∠FBC = m∠EFB = 67° [alternate interior angles theorem]
m∠FBC = 67°
In summary, using the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.
Use 3.14 for the value of pie , and round your answers to two decimal places, where applicable. If the radius of a circle is 3 cm, what is its circumference?
Answer:
18.85
Step-by-step explanation:
C=2πr
2(pi)3=18.85
Diego has 27 ounces of juice he pours equal amounts for his 3 friend and has 6 ounces left
Answer:
3x + 6 =27
Step-by-step explanation:
A. The solution is 7! First I Subtracted 6 from both sides of the equation, Then I Divided both sides of the equation by the same term. Then I got "7" from doing the following.
B. The solution is the x in the answer which is the amount of juice he poured.
"Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself"
how do you find answer to 9/35 - 1/5?
Answer:
2/35
Step-by-step explanation:
[tex]\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}[/tex]
The length of a rectangle is 3yds less than double the width, and the area of the rectangle is 44yd^2 . Find the dimensions of the rectangle.
Answer:
length = 8 yds
width = 5.5 yds
Step-by-step explanation:
Area of rectangle = l * w
w = width
length = 2w - 3
Substitute l with 2w - 3:
(2w - 3)*w = 44
2w² - 3w = 44
2w² - 3w - 44 = 0
Solve for w (AC method):
2w² + 8w - 11w - 44 = 0
2w(w + 4) - 11(w + 4) = 0
(2w - 11)(w + 4) = 0
w = 5.5 or w = -4
note: length cannot be negative, so w = 5.5 yds
Substitute w with 5.5 in either equation:
5.5 * l = 44 yds²
l = 44/5.5 = 8 yds
or
l = 2(5.5) - 3
l = 11 - 3 = 8 yds
Solve for y if 9^y = 3*6*27*4*81*2
The solution of the equation [tex]\rm 9^y = 3*6*27*4*81*2[/tex] will be 5.76.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
[tex]\rm 9^y = 3*6*27*4*81*2[/tex]
Simplify the equation, then the value of the variable 'y' will be given as,
[tex]\rm 9^y = 3*6*27*4*81*2\\\\9^y = 314,928[/tex]
Take log on both sides, then we have
y log 9 = log 314,928
0.9542 y = 5.4782
y = 5.76
The solution of the equation [tex]\rm 9^y = 3*6*27*4*81*2[/tex] will be 5.76.
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Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = et, y = e3t + 4
The graph of the function x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex] has been shown
The rectangular equation is [tex]y = x^3+4[/tex]
What is graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function f(x) is the collection of all points of the form (x, f(x))
x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex]
[tex]x^3 = e^{3t}[/tex]
So the required curve in rectangular equation is
[tex]y = x^3+4[/tex]
The graph has been given
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Find the missing angle measures
Answer:
[tex]120^{\circ}, 120^{\circ}, 60^{\circ}, 60^{\circ}[/tex]
Step-by-step explanation:
The angles of a quadrilateral add to [tex]360^{\circ}[/tex].
[tex]2h+2h+h+h=360 \\ \\ 6h=360 \\ \\ h=60 \implies 2h=120[/tex]
The following are the dimensions of each room in a house:
Living room = 20 ft x 15 ft Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
What is the total square footage of the house?
The total square footage of the house is 3776 square feet.
What is dimension?
A database of research grants called Dimensions connects funding to publications, clinical trials, and patents as well as other outcomes. Dimensions is a part of the technology firm Digital Science, which has its global headquarters in London, United Kingdom.
Given:
The dimensions of each room are,
Living room = 20 ft x 15 ft
Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft
Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
So, the total square footage is,
(20 + 12 + 12 + 12 + 8) ft x (15 + 10 + 12 + 10 + 12) ft = 64 ft x 59 ft = 3776 square feet.
Hence, the total square footage of the house is 3776 square feet.
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Factor 54+27 using the GCF
Answer:
27
Step-by-step explanation:
factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
factors of 27 = 1, 3, 9, 27
The greatest factor that exactly divides both 54 and 27 is 27 because they both have it as a factor.
After 3 years, $80,000 deposited in a savings account with simple interest had earned
$28,800 in interest. What was the interest rate?
help!!
PLEASE HELP THE QUESTION IN THE PICTURE.
Answer:
The first expression, (5^2*x^6*y^(-7))(5*x^0*y^28)
Step-by-step explanation:
Basically, add up the exponents for each unique base. We have two exponents with bases of 5 in this expression, 5^2 and 5 (which is equal to 5^1). Add the exponents together to get 3, so you have 5^3 = 125.
Add up the exponents for bases of x this time. We have x^6 and x^0. 6 + 0 = 6, so we have x^6.
Finally add up the exponents for bases of y. We have y^28 + y^(-7) = 28 + (-7) = 21, so we have y^21.
Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. Each teen will be asked to compare it with their favorite soft drink. Using the Text Editor, answer the following questions:
What is the experiment?
What is one possible outcome?
What is one possible event?
Create a new survey that would interest you and describe what the experiment, outcome, and a possible event would be.
In general, explain what probability is and why it can be important or useful to understand it.
The experiment is the development of a new soft drink
A possible outcome is "Prefer this new drink"A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"A new survey is about children vaccinationThe experimentFrom the question, we understand that:
The Fresno Mall plans to survey teenagers about a newly developed soft drink
This implies that the experiment is the survey of teenagers for a new soft drink
A possible outcomeAlso from the question, we have:
The teens will be asked to compare it with their favourite soft drink
In terms of preference, one outcome could be "Prefer this new drink"
A possible eventAlso from the question, we have:
The teens will be asked to compare it with their favourite soft drink
In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
A new surveyUsing the question as a guide, a survey could be:
In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.
Here, we have:
Experiment: Children vaccinationOutcome: Outcome that a parent supports parent should have their children vaccinatedEvent: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinatedImportance of probabilityProbabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions
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A line passes through the points (4, 440) and (6, 560)
on a cooridinate grid. What is the equation of the line?
A. y = 60x + 200
B. y = 120x + 2
C. y = 200x + 60
D. y = 2x + 120
The equation of a line is given by y = mx + c
What exactly is a line equation?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 120.
The slope of a line that passes through (4,440) and (6,560) is 0.676.
We have,
The equation of the line y = mx + c.
The line passes through (4,440) and (6,560).
This means,
We can find the slope using the coordinates (4,440) and (6,560).
Slope = m
m = (4,440) / (6,560)
m = 0.676
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find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 10⁹
The value of the expression by the repeated multiplication will be given as,
⇒ 10⁹
⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
⇒ 1,000,000,000
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
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First correct answer gets brainlyest answer
Jayden works as a broadcast assistant at a local radio station. What might be one
task that Jayden performs as part of his job?
A: filling out paychecks for the employees
B: manning the phone banks during a broadcast
C: cleaning the radio station offices at night
D: designing and sewing costumes
Answer:B
manning the phone banks during a broadcast
Step-by-step explanation:
Answer: B: manning the phone banks during a broadcast
k12 test career
9 i don't know how to do
Answer:
9. see below for proof; θ ∈ {45°, 135°, 225°, 315°}
11. see below for proof; x ∈ {109.47°, 250.53°}
Step-by-step explanation:
You want to prove two trig identities, then use those to solve trig equations.
9. 2tan²(θ)sin²(θ) = 1It is often useful to use the identities ...
tan = sin/cossin² +cos² = 1(i) Doing that here, we get ...
[tex]2\tan^2\theta \sin^2 \theta=1\\\\2\dfrac{\sin^2\theta}{\cos^2\theta}\sin^2\theta=1\qquad\text{replace tan}\\\\\dfrac{2\sin^4\theta}{1-\sin^2\theta}=1\qquad\text{replace $\cos^2$}\\\\2\sin^4\theta=1-\sin^2\theta\qquad\text{multiply by $(1-\sin^2\theta)$}\\\\2\sin^4\theta+\sin^2\theta-1=0\qquad\text{put in standard form}[/tex]
(ii) Substituting x=sin²(θ), we have the quadratic ...
2x² +x -1 = 0
The quadratic formula gives the solutions as ...
x = (-1 ±√(1 -4(2)(-1)))/(2(2)) = (-1±3)/4 = -1, 1/2
The value of sin(θ) is the square root of these values. √-1 is imaginary, so does not give us any solutions. √(1/2) = (±√2)/2, corresponding to ...
sin(θ) = (±√2)/2
θ ∈ {45°, 135°, 225°, 315°}
11. sin(x)tan(x)/(1 -cos(x)) = 1 + 1/cos(x)(i) Substituting as suggested above, we have ...
[tex]\dfrac{\sin x\tan x}{1-\cos x}=1+\dfrac{1}{\cos x}\\\\\dfrac{\sin^2 x}{\cos x(1-\cos x)}=\qquad\text{substitute for $\tan x$}\\\\\dfrac{1-\cos^2 x}{\cos x(1-\cos x)}=\qquad\text{substitute for $\sin^2 x$}\\\\\dfrac{1+\cos x}{\cos x}=1+\dfrac{1}{\cos x}\qquad\text{cancel the common factor}\\\\1+\dfrac{1}{\cos x}=1+\dfrac{1}{\cos x}\qquad\text{Q.E.D.}[/tex]
(ii) Using this result, the equation can be written ...
(1 +1/cos(x)) +2 = 0
1/cos(x) = -3 . . . . . . . . . subtract 3
x = arccos(-1/3) . . . . . . . solve for x
x ∈ {109.47°, 250.53°} . . . . approximately
Jake has a shipping box with the following dimensions.
length: 12
inches
width: 4
inches
height: 8
inches
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
How many times greater is the volume of Jake's box than Havana's box?
Jakes shipping box.
Volume of box = W * L * H
Volume of box = 4 * 12 * 8
= 48 * 8
= 384
Volume of havanas shipping box
W = 2
L = 6
H = 4
Volume of box = 2 * 6 * 4
= 48
384 / 48 = 8
Jake's box has 8 times more volume than Havana's box.
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
Juan's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 6 adult tickets and 3 student tickets for a total of $51. The school took in $90 on the second day by selling 9 adult tickets and 6 student tickets.
A) Write a system of equations to model the problem above. Be sure to define your variables.
B) Find the price of one adult ticket and one student ticket.
(A) The system of equations is,
6A + 3S = $51
9A + 6S = $90
(B) The price of one adult ticket is $4 and the price of one student ticket is $9.
What is system of equations?
A set of one or more equations involving numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations, or the points where the components of these equations intersect.
Given:
Juan's school is selling tickets to the annual talent show.
On the first day of ticket sales the school sold 6 adult tickets and 3 student tickets for a total of $51.
The school took in $90 on the second day by selling 9 adult tickets and 6 student tickets.
Let A be the number of adult tickets sold.
S be the number of students ticket sold.
⇒ 6A + 3S = $51 ..(1)
9A + 6S = $90 ..(2)
Multiply first equation by (2)
12A + 6S = $102 ..(3)
Subtract equation (2) and (3)
12A + 6S = $102
- 9A + 6S = $90
________________
3A = 12
⇒ A = $4
Plug A = 4 in equation (1)
6(4) + 3S = $51
24 + 3S = $51
3S = $51 - $24
3S = $27
S = $9
Hence,
(A) The system of equations is,
6A + 3S = $51
9A + 6S = $90
(B) The price of one adult ticket is $4 and the price of one student ticket is $9.
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2. Minji bought 4 necklaces, each
costing $9.00. Then,
She started with $60.00. How
much does she have now?
Answer:$24
Step-by-step explanation: if she started with $60 and she bought 4 neckless with the cost of each $9 we get so $9x4 is 36
$60-$36=24
$24
Math Hw part 1
Two pounds of dried cranberries cost $5.04, 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $17.64. Which equation give the total cost y of x pounds of dried cranberries?
A) y=1.68x
B) y=2.52x
C) y=3.04x
D) y=5.04x
Answer:
B
Step-by-step explanation:
First, you have to find the unit rate. Since you know that 2 pounds cost $5.04, you can divide the cost by 2 to find out how much 1 pound costs which would equal 2.52. Hope that helps.
Nicholette McClure has family medical coverage through the group medical plan her employer provides. The annual
cost of the plan is $5,000. The company pays 75 percent. How much is deducted from her semimonthly paycheck for
medical insurance?
Answer:
Nun, ich denke, das ist die Hoffnung, dass dies wirklich hilft und sich daran erinnert, dass nur Jesus rettet
Step-by-step explanation:
Danke!
This figure is made up of two rectangular prisms.
What is the volume of the figure?
Enter your answer in the box.
cm³
6 cm
2 cm
22 cm
↓
5 cm
13 cm
2
The aggregate volume of the two rectangular prisms is 330 cubic cm.
What is meant by the volume of rectangular prisms?The base's area multiplied by the height gives the rectangular prism its volume. So the formula for a rectangular prism's volume is as follows. Using cubic units, the volume of a rectangular prism = length × breadth × height
The volume is going to be the addition of two volumes.
We are going to divide the shape into two.
Volume = length × breadth × height
Section A and section B
Volume = length × breadth × height
Volume of section A is = 2 × 10 × 9
Volume of section A = 180 cm³
Volume = length × breadth × height
Volume of section B is = 3 × 5 × 10
Volume of section B = 150cm³
Total volume = volume of section A + volume of section B
Total volume = 180cm³ + 150cm³
Total volume = 330cm³
The complete question is:
The figure below is made of 2 rectangular prisms.
What is the volume of this figure?
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please help me! Help me solve this problem. The first three terms of an arithmetic sequence are 9, 16, and 23. Which of the following would be this sequences 20th term?
Answer:
142
Step-by-step explanation:
Definition: an = a1 + f × (n-1)
Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...
Common Difference: +7
The sum of all numbers up through the 20th: 1510
20th value: 142
Hope this helps! :)
What is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line 6x−2y=6?
Answer:
write the given equation in a standard form
6x - 2y = 6
-2y = -6x + 6
y = 3x - 3
m = 3
if the lines are perpendicular to each other the product of their gradient is equal to -1
m1 × m2 = -1
3 × m = -1
3m = -1
m = -1/3
y - y1 = m(x - x1 )
y - (-1) = -1/3 ( x - (-3) )
y + 1 = -1/3 (x + 3 )
y + 1 = -1/3x - 1
y = -1/3x - 1 + 1
y = -1/3x
Graph the line with y- intercept 1 and slope -1/2
Answer:
See below
Step-by-step explanation:
Desmos is a free graphing calculator.