Answer:
endpoint or straight lines
Step-by-step explanation:
same
O Both x and y are positive.
O Both x and y are negative.
Ox is positive, and y is negative.
Ox is negative, and y is positive.
The point P(x, y) lies on the terminal side of an angle = -60° in standard position. What are the signs of the values
of x and y?
The value of x has a positive sign and the value of y has a negative sign. Option C
What is a unit circle?An angle in the unit circle of angle α with a radius of 1 with the set of points;
cos α and sin α
In the given problem, we have the angle as -60º, which is equal to an angle of 360 - 60 to give us 300º
Also, it is in the fourth quadrant, where the cosine is positive and the sine is negative.
Thus, the value of x has a positive sign and the value of y has a negative sign.
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Your original grades on your exams were: 75, 85, 90, 90, 100, 75, 80, 100, 90. You retake the exams and now your scores are: 85, 85, 100, 90, 100, 85, 80, 100, 90. By how many percentage points did you improve your average score?
Answer:
Your average improved by 13 [tex]\frac{1}{3}[/tex] %.
Step-by-step explanation:
First set:
(75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90) ÷ 9 = 77 [tex]\frac{2}{9\\}[/tex] %
Second set:
(85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90) ÷ 9 = 90 [tex]\frac{5}{9}[/tex] %
Improvement:
90 [tex]\frac{5}{9}[/tex] % - 77 [tex]\frac{2}{9\\}[/tex] % = 13 [tex]\frac{1}{3}[/tex] %
median of 102 116 146 148 148 in feet
Answer:
146
Step-by-step explanation:
arrange your values in descending order then cancel out last value with the first value.
the middle value would be your answer.
hope it was helpfull.please give me a thanks
a washer and dryer costs $745 combined the washer costs $45 more than the dryer how much does the dryer cost
 Find the value of x. Round to the nearest tenth. 1.4 2.1 2x
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!!The value of x is 1.56ft.
What is the Pythagoras theorem?The Pythagoras theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse of the right-angle triangle.
If p is the height, b is the base and h is the hypotenuse then according to the Pythagoras theorem
p²+b²=h²
Here given that the radius of the circle is r=2.1 ft
the perpendicular distance from the center of the circle to the line =1.4ft
that perpendicular line will bisect the line of length 2x.
Foe which each half of the line will be x.
Applying Pythagoras theorem in the right-angle triangle,
1.4²+x²=2.1²
⇒1.96+x²=4.41
⇒x²= 4.41-1.96
⇒x²= 2.45
⇒x= 1.56 ft
Therefore the value of x is 1.56ft.
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A geometric series has a sum of 1365. Each item increases by a factor of 4. If there
are 6 terms in the series, find the value of the first term.
Answer:
1
Step-by-step explanation:
So the sum of a finite geometric series can be defined as: [tex]S_n = \frac{a_1-a1*r^n}{1-r}[/tex] where r is the constant ratio or how much more greater the current term is, compared to the previous term (how much it's being multiplied by), and the n is the number of terms in the series. So with the given information you have the equation:
[tex]1365=\frac{a_1-a_1*4^6}{1-4}[/tex]
Simplify:
[tex]1365=\frac{a_1-4096a_1}{-3}[/tex]
Multiply both sides by -3
[tex]-4095 = a_1-4096a_1[/tex]
Subtract coefficients
[tex]-4095=-4095a_1[/tex]
Divide both sides by -4095
[tex]1 = a_1[/tex]
solve for x -
[tex]\bold{x {}^{2} - 25 + 16 = 0}[/tex]
ty! ~
Hey!
Your equation is -
[tex]x {}^{2} - 25 + 16 = 0[/tex]
[tex]x {}^{2} - 9 = 0[/tex]
We can write 9 as 3² (Why?) because it forms identity a² - b² = (a + b) (a - b) .
[tex]x {}^{2} - {3}^{2} = 0[/tex]
[tex](x - 3)(x + 3) = 0[/tex]
This gives the information that either,
x - 3 = 0 or x + 3 = 0
So, x = 3 or x = -3
Hope it helps, you may ask if you have any confusions ^-^
Answer:
x = 3, x = -3
Step-by-step explanation:
x² - 25 + 16 = 0
⇒ x² - 9 = 0
• Add 9 to both sides:
⇒ x² = 9
• Square root both sides of equation:
x = [tex]\sqrt{9}[/tex]
x = ± 3
x = 3 and x = -3
When the function f(x) = 8* is evaluated for x = 2, the output is:
O 64.
O 10.
16.
Answer:
[tex]\huge\boxed{\sf 64}[/tex]
Step-by-step explanation:
Given function:[tex]f(x) = 8^x[/tex]
Put x = 2
[tex]f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}[/tex]
Laura opened a deposit account. In the first month, she made an initial deposit of $2500. She plans to contribute $225 a month after her initial deposit. The account does not pay any interest.
After how many months will she have a total of $6,775?
A. 18
B. 15
C. 20
D. 21
Answer:
20 months
Turn sentences into equation:
She deposits $225 every month after initial deposit of $2500 in first month
Equation: y = 2500 + (x - 1)225
where y represents total amount, x represents months
Use this equation to find at which month her account will have $6,775
2500 + (x - 1)225 = 6,775
(x - 1)225 = 6,775 - 2,500
(x - 1)225 = 4275
x - 1 = 19
x = 20
Thus, it will take 20 months when she have a total of $6,775.
what is the remainder of 2x^3-12x^2+11x+2 divided by x-5
Answer:
7
Step-by-step explanation:
When x = 5, 2x³ - 12x² + 11x + 2 = 7.
y-7 = (12-x)2 in vertex form
Answer:
y = -2x + 31
Step-by-step explanation:
Vertex form a parabola refers to a place or a point where it turns. It takes the form of;
y = mx + c
From our question, we are supposed to convert the equation y-7 = (12-x)2 into vertex form.
To begin, open the brackets on the RHS;
y - 7 = 24 - 2x.
Then move -7 to the RHS which becomes the positive.
Y = 24 - 2x + 7
= 31 - 2x
Convert it to the form y = mx + c.
y = -2x + 31
This is the vertex form, y = -2x + 31.
Note:
For a standard form/quadratic, the equation has to be in the form ax² + bx + c = y2 2/3 * 2 2/3 = how many thirds as a fraction
Answer:
[tex]21 \frac{1}{3}[/tex] fit into the product
Step-by-step explanation:
so you want to convert [tex]2 \frac{2}{3}[/tex] into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes [tex]\frac{8}{3}[/tex] and since the two fractions are equal they both become this. So now you have [tex]\frac{8}{3} * \frac{8}{3}[/tex] which can be calculated by multiplying the numerators and denominators. This gives you [tex]\frac{8*8}{3*3} = \frac{64}{9}[/tex]. Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation [tex]\frac{64}{9} \div \frac{1}{3}[/tex] which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation [tex]\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}[/tex]. I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to [tex]21 \frac{1}{3}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}[/tex]
[tex]\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}[/tex]
[tex]\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}[/tex]
[tex]\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}[/tex]
[tex]\mathsf{= \dfrac{8\times8}{3\times3}}[/tex]
[tex]\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}[/tex]
[tex]\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}[/tex]
[tex]\mathsf{= \dfrac{32 + 32}{9}}[/tex]
[tex]\mathsf{= \dfrac{64}{9}}[/tex]
[tex]\mathsf{= 7 \dfrac{1}{9}}[/tex]
[tex]\approx{\mathsf{21 \dfrac{1}{3}}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)?
The transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)If f(x) = x³ and g(x) = -2x³, then the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
Hence, the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
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evaluate if a= 28 and b= -3 a/4+b
Answer:
4
Step-by-step explanation:
divide the numbers
subtract the numbers
final answer:
= 4
a. A professional football kicker has a 98.8% probability of successfully kicking an extra point after a touchdown. Assuming statistical independence, what is the probability that this kicker will successfully make all of his next eleven extra point kicks? Round your answer to four decimal places. Probability = b. What is the probability that the kicker will miss at least one of his next eleven extra point kicks? Round your answer to four decimal places. Probability = c. A professional golfer has a 92.75% probability of making a 5-foot putt. Assuming statistical independence, what is the probability that this golfer will successfully make all of his next eight 5-foot putts? Round your answer to four decimal places. Probability = d. What is the probability that the golfer will miss at least one of his next eight 5-foot putts? Round your answer to four decimal places. Probability =
A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that the golfer will miss at least one of his next eight 5-foot putts is 0.4523.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
A.) The probability that this kicker will successfully make all of his next eleven extra-point kicks is,
P(x=11) = ¹¹C₁₁ (0.988¹¹) (0.012⁰)
= 0.8756
B.) The probability that the kicker will miss at least one of his next eleven extra point kicks is,
P(X<11) = 1 - P(X=11)
= 1 - 0.8756
= 0.1243
C.) The probability that this golfer will successfully make all of his next eight 5-foot putts is,
P(x=8) = ⁸C₈ (0.9275⁸) (0.0725⁰)
= 0.5477
D.) The probability that the golfer will miss at least one of his next eight 5-foot putts is,
P(X<8) = 1 - P(X=8)
= 1 - 0.5477
= 0.4523
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Select the correct answer.
Three corporations each own land. Corporation A owns 3.2 × 105 acres, corporation B owns 4 × 104 acres, and corporation C owns 4.3 × 105 acres. Which corporation owns the most land? How many times greater is corporation A’s land than corporation B’s land?
A
Corporation A owns the most land. Corporation A owns 8 times more land than corporation B.
B.
Corporation B owns the most land. Corporation A owns 4 times more land than corporation B.
C.
Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.
D.
Corporation C owns the most land. Corporation A owns 80 times more land than corporation B.
E.
Corporation A owns the most land. Corporation A owns 40 times more land than corporation B.
Using scientific notation, the correct statement is given by:
C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:
Corporation A: [tex]3.2 \times 10^5 = 320000 = 320,000[/tex].Corporation B: [tex]4 \times 10^4 = 40000 = 40,000[/tex].Corporation C: [tex]4.3 \times 10^5 = 430000 = 430,000[/tex].Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.
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In the figure above ac bisects bcd. what is the length of cd?
In the the figure above AC bisects BCD in the quadrilateral, the length of CD will be 6cm.
How to calculate the value?It should be noted that the longer diagonal is a perpendicular bisector of the shorter diagonal.
From the diagram given, the value of AD is 6cm. Therefore, according to the angle bisector theorem, the value of CD is 6cm as they're congruent.
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If the sides of a polygon are x + 3 units, 2x – 4 units, 5x units, and 7x + 8 units, then find the perimeter of the polygon.
Answer:
The answer is 15x + 7
Step-by-step explanation:
Since the perimeter of a REGULAR polygon is the number of sides multiplied by the length, and the lengths of the sides are all different, it can be assumed that this is an irregular polygon. That means the formula to find the perimeter changes to all the sides added together.
1 x + 3
2 x - 4
5 x + 0
+ 7 x + 8
15 x + 7
Please answer this in the attached screenshot
Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.
How to write the formula of this function?Mathematically, the standard equation of a cosine function is given by:
y = Acos(Bx - C) + D
Where:
A is the amplitude.B = 2π/P.P is the period.C is the phase shift.D is the center line (midline).For the amplitude, we have:
A = maxline - midline
A = 10 - 4
Amplitude, A = 6.
Since the maxline to the midpoint is euqal to π/4, we have:
¼ × P = π/4
4P = 4π
P = π
For the value of B, we have:
B = 2π/P
B = 2π/π
B = 2.
Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.
Next, we would substitute the parameters into the cosine function:
y = Acos(Bx - C) + D
y = 6cos(2x - 0) + 4
f(x) = y = 6cos(2x) + 4.
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The triangles shown below must be congruent.
Answer:
Yes, they are congruent
Step-by-step explanation:
The triangles are congruent as they follow the ASA rule or, Angle Side Angle.
All the angles AND sides are corresponding, so they are congruent.
Hope this helped (:
The test statistic of z=-3.32 is obtained when testing the claim that p=1/2. a. Using a significance level of a=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0 ?
The critical value and the conclusion are mathematically given as
z_{0.05}=1.960 and z<Zcritical, therefore we Reject H_o
What are the critical value and the conclusion?a)Test statistic z=-3.32
Claim: p< 0.5
a=0.05
critical value z_{0.05}
z_{0.05}=1.960
b)
z<Zcritical,
Beause z=-3.32< z_{0.05}=1.960 Reject H_o
In conclusion,
z_{0.05}=1.960 and z<Zcritical, therefore we Reject H_o
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20. Find the solution to the system of linear equations below:
x - 3y = -5
2x + 5y = 12
O (-5, 12)
O (3,2)
O (-2,7)
O (1,2)
Answer:
(1, 2)
Step-by-step explanation:
So you can solve this systems of equations by substitution. Substitution involves "finding" the value of one of the variables and then substituting that into the other equation
In this example I'll try to define an equation equal to that of "2x" using the first equation and then substitute that into the second equation
Given:
[tex]x-3y=-5[/tex]
Add 3y to both sides
[tex]x=3y-5[/tex]
Multiply both sides by 2
[tex]2x = 6y-10[/tex]
Given:
[tex]2x+5y=12[/tex]
Substitute 2x as (6y-10)
[tex](6y-10)+5y=12[/tex]
Simplify
[tex]11y-10=12[/tex]
Add 10 to both sides
[tex]11y = 22[/tex]
Divide both sides by 11
[tex]y=2[/tex]
Plug 2 in as y (works for either given equation)
[tex]x-3(2)=-5[/tex]
simplify
[tex]x-6=-5[/tex]
add 6 to both sieds
x=1
what is the independent variable of "i did 60 brush strokes in 1 minute"
The independent variable is brush strokes
How to determine the independent variable?The statement is given as:
"I did 60 brush strokes in 1 minute"
The independent variable is the action that is done.
From the statement.
The action is the strokes of brush
Hence, the independent variable is brush strokes
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math
look at the picture
Answer:
logarithmic
Step-by-step explanation:
I'm jujust that good to help you
If IK=JK, find mlJ
A. 72°
B. 82°
C. 122°
D. 134°
Answer:
D.134
Step-by-step explanation:
2 over 6 = Y over 9 Fraction equation is required
Answer:
y = 3Step-by-step explanation:
2 over 6 = Y over 9 Fraction equation is required
2/6 = y/9
y = 2/6 * 9
y = 3
check
2/6 = 3/9
1/3 = 1/3
the answer is good
- 10
-5
A
B
10-
8-
6-
4-
-4-
-6-
-8
-10
D
5
C
10
Which coordinates below would form the
image of the triangle above if the center
of dilation is at point D and the scale
factor is 2?
O A'(-7, 8), B'(-5, -2), C'(7, -2)
O A'(-6, 6), B'(-4, -4), C'(8, -4)
O A'(-11, 13), B'(-8, -2), C'(10, -2)
O A'(-1, 0.5), B'(-0.5, -2), C'(2.5, -2)
Answer:
HDUEHD ehvd to be a great day of school and I have a great day of school andA retail store in Des Moines, Iowa, receives shipments of a particular product from Kansas City and Minneapolis. Let x = number of units of the product received from Kansas City y = number of units of the product received from Minneapolis a. Write an expression for the total number of units of the product received by the retail store in Des Moines. b. Shipments from Kansas City cost $0.20 per unit, and shipments from Minneapolis cost $0.25 per unit. Develop an objective function representing the total cost of shipments to Des Moines. c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Des Moines. d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Des Moines retail store at minimum cost. Solve using linear programming
The expression for the total number of units of the product received is x + y.
How to depict the information?The total will be =y+x because it will be the sum of the two shipment quantities.
b. Cost = $.20(x)+$.25(y) because the cost will be the sum of the costs per unit for each shipment.
c. 5000 =x+y allows for any combination of x and y units.
d. Total will be: x+y where x<=4000 and y<=3000
e. The minimum cost is where a and b are minimized in demand =ax+by. We cannot determine a maximum value for a or b because we do not know what the demand is. If the problem calls for referral to part b, then use the equation demand=$.20x
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PLEASE HELP I REALLY NEED IT!!!!
Detailed explanation please
So Explicit formula for 2nd one
2a_{a-1}Or general formula as per Geometric progression
a_n=ar^{n-1}=1(2)^{n-1}For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)
Now find sum
Sum of 18250 terms
[tex]\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}[/tex]
1 from both denominator and numerator cancels out
[tex]\\ \rm\Rrightarrow 2^{18250}-1[/tex]
[tex]\\ \rm\Rrightarrow 6.272214002E5493[/tex](Accurate)
It's far more than 1 M so second option would give you more penny
When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7? When a is divided by 7 , the remainder is 5 ; and when b is divided by 7 , the remainder is 4. What is the remainder when a + b is divided by 7 ?
Answer:
9
Step-by-step explanation:
35(a) / 7 = 5
28(b) / 7 = 4
a + b = 35 + 28
35 + 28 = 63
63 / 7
= 9
Hope that helps! :)