eometry Part 4 - Lesson 1 Assessment - EDCP.MA004.D
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What is the area of a sector of a circle with a central angle of measure 180° and whose radius is 5
cm? Leave your answer in terms of I.
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o com
35
O 2 cm
Answer: it would be 34
Step-by-step explanation:
Students from four classes are in talent show. A. There are 28 students in Ms. Fiona's class. The ratio of her student who are in the talent show to those who are not in the talent show is 2:5. How many of Ms. Fiona's students are in the talent show? B. Mr. Juan has 24 students in his class. Some of his students are also in the talent show. Explain why it is not possible for exactly 24% of the students in Mr. Juan's class to be in the talent show. C. The rest of the students in the talent show are from Mrs. Lee's class and Mr. Greg's class. • Mrs. Lee has 23 students in her class, and 7 of them are in the talent show. There are 4 more students from Mr. Greg's class than from Mr. Juan's class in the talent show. The number of students in the talent show from Mrs. Lee's class is greater than the number from Mr. Juan's class and fewer than the number from Mr. Greg's class. In all, 30% of the students in these three classes are in the talent show, Show or explain why there must be exactly 23 students in Mr. Greg's class. As part of the explanation, determine how many students from Mr. Greg's class are in the talent show
Answer:
B
Step-by-step explanation:
i had this question on my test
What can be divided into 6 and 4 without leaving a remainder?
Answer:
6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.
A natural number that has at least one factor other than 1 and itself.
Hope it helps!!!Brainliest pls!!!Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000
Answer:
400
Step-by-step explanation:
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{c) \: 400}[/tex]
How many units are there between point A (-3,80) and point B (-3,12)
Answer:
68 units
Step-by-step explanation:
Given:
Point A = (-3, 80)Point B = (-3, 12)As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.
Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:
[tex]\sf distance=y_A-y_B=80-12=68 \ units[/tex]
The square of a difference of numbers is the different of their squares?
Always true
Sometimes true
Never true
Answer:
Sometimes true
Step-by-step explanation:
This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.
For every other number combo this is untrue.
In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when will the population reach 20 million?
Answer:
49.9 years or 50 years later. At year : 2042Explanation:
use compound interest formula: [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]
[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]
[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]
[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]
[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]
[tex]\rightarrow\sf n = 49.8563 \ years[/tex]
Answer:
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is initial valueb is the base (or growth factor in decimal form)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing functionIf 0 < b < 1 then it is a decreasing functionAlso b ≠ 0Given information:
initial population = 10 milliongrowth rate = 1.4% each year⇒ growth factor = 100% + 1.4% = 101.4% = 1.014
Inputting these values into the equation:
[tex]\implies y=10(1.014)^x[/tex]
where y is the population (in millions) and x is the number of years since 1992
Now all we need to do is set y = 20 and solve for x:
[tex]\implies 10(1.014)^x=20[/tex]
[tex]\implies 1.014^x=2[/tex]
[tex]\implies \ln 1.014^x=\ln 2[/tex]
[tex]\implies x\ln 1.014=\ln 2[/tex]
[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]
[tex]\implies x=49.85628343...[/tex]
1992 + x = 2041.8562....
Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.
Find the exact value or type
"undefined"
tan(-315)
[?]
Answer:
the exact value of tan(-315) is 1
Answer:
The tangent of -315 is opp/adj = 1/1 = 1
Step-by-step explanation:
The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle. Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2. The tangent of -315 is thus opp/adj = 1/1 = 1
Hey! Does can anyone help me with this? Thank you!
Answer:
=x^3/4
Step-by-step explanation:
(x^1/2)(x^1/4)
same base
1/2+1/4
=3/4
=x^3/4
What is the frequency of the function f(x)?
f (x) = 2 cos (x) – 4
Enter your answer, in simplest fraction form, in the box.
Answer:
frequency = 1/(2π)
Step-by-step explanation:
The frequency of the function is found by comparing the argument of the cosine function to (2πfx), where f is the freuqency.
2πfx = x . . . . the argument of the cosine is x in f(x)=2cos(x) -4
2πf = 1 . . . . . . divide by x
f = 1/(2π) . . . . . the frequency of the function f(x)
Tan^2xsin^2x=tan^2x-sin^2x
Prove identity
Answer:
See below for proof
Step-by-step explanation:
[tex]\tan^2x\sin^2x\\\\(\sec^2x-1)(\sin^2x)\\\\(\frac{1}{\cos^2x}-\frac{\sin^2x}{\sin^2x})(\sin^2x)\\\\(\frac{\sin^2x-\sin^2x\cos^2x}{\sin^2x\cos^2x})(\sin^2x)\\\\\frac{\sin^2x-\sin^2x\cos^2x}{\cos^2x}\\\\\frac{\sin^2x}{\cos^2x}-\sin^2x\\\\\tan^2x-\sin^2x[/tex]
Hence, the identity is proven
Suppose that two cards are randomly selected from a standard 52-card deck.
(a) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
(b) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
Answer:
A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)
B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)
Step-by-step explanation:
correct me if. wrong
The value of A is .
The value of B is .
Answer:a=10 b=35
Step-by-step explanation:
1*8=8 1.25*8=10
1*28=28 1.25*28=35
Please help me with this problem! Picture Included!!
Answer:
y < 1
Step-by-step explanation:
graphing with inequality
Answer:
3/1/2
Step-by-step explanation:
please mark me the brainiest
What is the area of this figure?
Answer:
35 cm²
Step-by-step explanation:
Area of the 2 triangles combined:
1/2 x 4 x 5 = 10
Area of the square:
5 x 5 = 25
10 + 25 = 35
4×4 or 4×5 perimeter times area
Given the data presented in the bar graph, which age group represents 25% of the people at the family reunion?
A) 10-19
B) 20-29
C) 30-39
D) 50-59
The age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.
What is a Bar Graph?A bar graph can be described as a graphical representation of a data distribution usin bars/bins to display the frequency of a group or data points.
First, find the total number of people at the family reunion:
Total number of people = 8 + 10 + 19 + 15 + 5 + 13 + 3 + 5 = 78 people.
25% of 79 = 25/100 × 78 = 19.5
19.5 is closer to 19.
People in the age group 20 - 29 from the bar graph represents 19 people, therefore, the age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.
Learn more about bar graph on:
https://brainly.com/question/25718527
Answer: B
Step-by-step explanation: I took the test in K12
Becket needs to solve the system of equations using elimination.
-2x+4y=-2
(6x-y=28)
Which correctly describes the first step Becket should take?
A. Multiply each term in the 1st equation by -3
B. Multiply each term int he 1st equation by 3
C. Multiply each term in the 2nd equation by -4
D. Both B and C would work
Answer:
B. Multiply each term in the 1st equation by 3
Step-by-step explanation:
A is incorrect because multiplying the entire 1st equation by -3 will give you 6x - 12y = 6. This does not cancel with either x or y term in the second equation.B is correct because by multiplying the entire 1st equation by 3 will give you -6x + 12y = -6. The -6x term will cancel (or eliminate) the 6x term in the second equation.C is incorrect because multiplying the entire 2nd equation by -4 will give you -24x + 4y = -112. This does not cancel with either x or y term in the 1st equation.D is incorrect because C was proven to be incorrect.Step-by-step explanation:
step 1
Multiply each term in the second equation with 4
step 2
Add equation 1 to equation 2
step 3
make x subject of formula and obtain value of X
step 4
substitute value of X in equation 1 and find Y
Jessica has 300 cm³ of material. She uses 12.6 cm³ to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 3. How much more material does Jessica need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jessica needs an additional Choose... cm³ of material to make the second prism.
Answer:52.8
Step-by-step explanation:
Answer:
The answer is indeed 52.8
Step-by-step explanation:
Here is proof: I got the same answer.
Which point on the number line best represents √10
Answer:
So it would be around 3.
Step-by-step explanation:
[tex]\sqrt{10}[/tex]= 3.16227766017
9. All quadrilaterals are parallelogram. A True B. False C. Maybe D. Sometimes cial kind of na lelogram because
Answer:
B
Step-by-step explanation:
This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.
The sum of 3 times a number and 7 equals 4.
Answer: x = -1
Step-by-step explanation:
The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7
According to the problem this expression is equal to 4,
3x + 7 = 4
1. Subtract 7 from both sides
3x = -3
2. Divide 3 on both sides
x = -1
Your final answer would be negative 1
Use the definition of the derivative as a limit to find the
derivative f′ where f(x)= √ x+2.
Step-by-step explanation:
If the equation is
[tex] \sqrt{x + 2} [/tex]
Then, here is the answer.
The definition of a derivative is
[tex] \frac{f(x + h) - f(x)}{h} [/tex]
Also note that we want h to be a small, negligible value so we let h be a value that is infinitesimal small.
So we get
[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} [/tex]
Multiply both equations by the conjugate.
[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} \times \frac{ \sqrt{x + h + 2} + \sqrt{x + 2} }{ \sqrt{x + h + 2} + \sqrt{x + 2} } = \frac{x + h + 2 - (x + 2)}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]
[tex] \frac{h}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]
[tex] \frac{1}{ \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]
Since h is very small, get rid of h.
[tex] \frac{1}{ \sqrt{x + 2} + \sqrt{x + 2} } [/tex]
[tex] \frac{1}{2 \sqrt{x + 2} } [/tex]
So the derivative of
[tex] \frac{d}{dx} ( \sqrt{x + 2} ) = \frac{1}{2 \sqrt{x + 2} } [/tex]
Part 2: If your function is
[tex] \sqrt{x} + 2[/tex]
Then we get
[tex] \frac{ \sqrt{x + h} + 2 - ( \sqrt{x} + 2) }{h} [/tex]
[tex] \frac{ \sqrt{x + h} - \sqrt{x} }{h} [/tex]
[tex] \frac{x + h - x}{h( \sqrt{x + h} + \sqrt{x}) } [/tex]
[tex] \frac{h}{h( \sqrt{x + h} + \sqrt{x} ) } [/tex]
[tex] \frac{1}{ \sqrt{x + h} + \sqrt{x} } [/tex]
[tex] \frac{1}{2 \sqrt{x} } [/tex]
So
[tex] \frac{d}{dx} ( \sqrt{x} + 2) = \frac{1}{2 \sqrt{x} } [/tex]
1
6
of the fruits at a warehouse were apples and the remaining fruits were oranges. There were 291 more red apples than green apples and there were 3455 oranges in the warehouse. How many red apples were there?
Answer:
491 red apples
Step-by-step explanation:
1/6 are apples
then 5/6 are oranges
red apples = green apples + 291
there are 3455 oranges
total amount of fruits is :
3455 / (5/6) = (3455 x 6)/5 = 4146
4146 - 3455 = 691 apples ( total )
so red + green = 691
and red - green = 291
add the two equations
red + red + green - green = 691 + 291
2red = 982
red = 982 / 2 = 491 red apples
green = 691 - 491 = 200 green apples
so red is 291 more than green
then red = 491
n a certain country, the true probability of a baby being a girl is 0.467. Among the next four randomly selected births in the country, what is the probability that at least one of them is a boy?
Answer:
0.9524
Step-by-step explanation:
Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533
By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524
What is the solution to this system of
equations?
6x - 2y = 8
1-3x + y = -4
A. No Solution
B. (0, -4)
C. Infinite Solutions
Answer:
No solution
Step-by-step explanation:
System of Linear Equations given :
[1] 6x-2y=8
[2] 1-3x+y=-4
Equations Simplified or Rearranged :
[1] 6x - 2y = 8
[2] -3x + y = -5
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 3x - 5
// Plug this in for variable y in equation [1]
[1] 6x - 2•(3x-5) = 8
[1] 0 = -2 => NO solution
-1 (1 + 7x) - 6(-7 -x) = 36
Answer: x = 5
Step-by-step explanation:
If you need to solve for x,
Given:
-1 (1 + 7x) - 6(-7 -x) = 36
Distribute:
-1 - 7x + 42 + 6x = 36
Combine like terms:
- x + 41 = 36
Subtract 41 from both sides of the equation:
- x = -5
Divide both sides by -1:
x = 5
solve ~
[tex]2x + 1 - 4x = 7x + 5[/tex]
don't spam .-.
thankyou ~
Answer:
[tex]x=-\frac{4}{9}[/tex]
Step-by-step explanation:
2x + 1 - 4x = 7x +5
First, take 7x to the left side.
2x + 1 - 4x - 7x = 5
Now take 1 to the right side.
2x - 4x - 7x = 5 - 1
Now combine like terms.
-2x - 7x = 4
-9x = 4
Now divide both sides by -9.
x = - 4/9
Answer:
2x+1-4x=7x+5
-->2x-4x-7x=5-1
-->-2x-12x=4
-->-9x=4
-->x=-4/9
-->x=-4/9
Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your vehicle averaged 28 mi/gal?
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:
[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]
This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6
At 1.00Pm the temperature was -13°C
No of hours be nIncrease rate=6°C/hourSo
The equation is
y=6n+(-13)y=6n-13y=-13+6nwhat is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)
Step-by-step explanation:
To find the derivative of
3x+5, apply sum rule
[tex] \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5[/tex]
The derivative of
[tex] \frac{d}{dx} kx = k[/tex]
And
[tex] \frac{d}{dx} c = 0[/tex]
So we have
[tex] \frac{d}{dx} 3x + 5 = 3[/tex]
So the derivative of the function is 3,
Since linear equations have a constant slope, the slope at any point will be 3.
So the slope of the tangent line is 3.