Answer:
should I ans?
Step-by-step explanation:
mayb not...coz idu
What is the measure of the major arc?
A. 150
B. 190
C. 210
D. 105
Answer:
C.210
Step-by-step explanation:
360 degrees in a circle. 360-150=210
The distance between two cities A and B is 400km. A car leaves from A towards B at a speed of 90kmph, at the same time another car leaves from B towards A at 110kmph.
-
a) Write the equations that give the distance as function of time.
b) Represent them graphically. V
c) Find the distance they have traveled to meet each other and the time invested.
Answer:
a. Distance = 400 - 200t
b. see attached graph
c. A travelled 180 km, B travelled 220 km, both took 2 hours.
Step-by-step explanation:
Given
distance = 400
A = 90 km/h
B = 110 km/h
A & B drive towards each other
Solutions
a) equation
Let
t = elapsed time in hours,
D(t) = distance between two drivers
D(t) = 400 - (A+B) t
D(t) = 400 - 200t ......................(1)
b. graph : for graph, see attached figure.
c. Distance and time
Time:
solve for t with the distance D(t) = 0 using equation (1)
0 = 400 - 200 t
200t = 400
t = 2 hours
distance travelled by A = 2 hours * 90 km/h = 180 km
distance travelled by B = 2 hours * 110 km/h = 220 km
Sarah is organizing a party at the Vine House Hotel. The Vine House Hotel provides her with the following
information: $750 for the room rental plus $20 per person attending the party.
a. If C dollars is the cost of a party for P people, write an equation to determine the cost.
b. Sarah is inviting 60 people to the party. She calculates her cost to be $1200. Is she correct? Show your work and
explain.
Answer:
A) 750+20P=C
B) No, it will not be $1200. It will be $1950. $1200 is only the cost for the people and does not include the room rental.
Step-by-step explanation:
A) 750+20P=C
B) 750+20(60)=C
750+1200=C
1950=C
No, it will not be $1200. It will be $1950. $1200 is only the cost for the people and does not include the room rental.
Answer:
a. C = 750 + 20P
b. If Sarah is inviting 60 people to the party,
L.H.S. = 750 + 20 x 60
= 750 + 1200
= 1950 dollars
R.H.S. = 1200
because L.H.S is not equal to R.H.S.
no she is wrong
Simplify/ Multiple choice
Answer:
C
Step-by-step explanation:
Remember that when we have roots (like the square root here), then they can be written as fractional exponents.
Here, we have √2, which is equal to [tex]2^{1/2}[/tex], and we have ∛2, which is equal to [tex]2^{1/3}[/tex]. That means:
(√2)(∛2) = [tex]2^{1/2}*2^{1/3}[/tex]
By property of exponents, when we multiply two exponents with the same base (2 here), we can combine them into one exponent by adding the two powers:
[tex]2^{1/2}*2^{1/3}=2^{1/2+1/3}=2^{3/6+2/6}=2^{5/6}[/tex]
The answer is thus C.
~ an aesthetics lover
Answer:
c
Step-by-step explanation:
8. Solve for "x":
(5x + 2)
(x + 4)
Answer:
x = 29
Step-by-step explanation:
(5x + 2) + (x + 4) = 180
6x + 6 = 180
6x = 174
x = 29
I HOPE THIS HELPS
Answer:
x=29 degrees
Step-by-step explanation:
We know that the straight line is 180 degrees because definition of a straight. So we take 4 and 2 and subtract them off of 180. so 180-4-2=174. Now, we do 174/6 because you want to figure out how much times 6 can go into 174 because there are 6 x's (if that makes sense). So we get the answer 29 so x=29 degrees.
Basically, you want to combine like terms. So we combined the non-variable numbers and we subtract it off of 180. Then we take the variables and combine them. So in this case, it would be x+5x=6x. Then we need to figure out what x is so we just divide by 6 on both sides. So 6x=174 so x=29.
I hope this made sense.
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collected, the sales te determines that the monthly profit is approximated by f(p)= -50p^2+1700p-12000, where p is the price per shirt and f(p) is the monthly profit on that price. A) Find the price that generates the maximum profit B) Find the maximum profit C) Find the price(s) that would enable the company to break even.
Answer:
Below
Step-by-step explanation:
You could just graph the equation for the answers....
Here is algebraic method
for Quadratic Equation - 50p^2 +1700p - 12000
the max profit occurs at p = - b/2a = - 1700 / (2* -50) = 17 dollars
A ) 17 dollars
B) use p =17 in the equation to find profit = 2450 dollars
C) Set the equation = 0 and solve for p
0 = -50p^2+1700p - 12 000
Use Quadratic Formula with a = -50 b = 1700 c = 12000
to find price = 40 dollars
What is the length of the transverse axis of the conic section shown below?
(y+2)^2/25 - (x-3)^2/4=1
Answer:
Length of transverse axis = 2 b = 10
Length of conjugate axis = 2 a = 4
Step-by-step explanation:
Explanation:-
Given Hyperbola
[tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]
Standard form of Hyperbola
[tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]
Center (h , k ) = (3 , -2 ) , a = 2 and b = 5
Length of transverse axis = 2 b = 2(5) = 10
Length of conjugate axis = 2 a = 2 (2) = 4
Kayleigh has a spinner with sections labeled A‒E. All sections are the same size. She spins it 20 times with outcomes as follows:
Outcome Number of Times
A 4
B 4
C 5
D 5
E 2
a) Find the theoretical probability that the spinner lands on A or E. b) Find the experimental probability that the spinner lands on A or E. c) Explain why the probabilities are different.
a) The theoretical probability of landing on A or E is 2/5. This is because there are two sections we want to land on (either A or E) out of 5 sections total.
--------------------------
b) The empirical probability of landing on A or E is 3/10, which was reduced from 6/20. This is because there are 4+2 = 6 times we landed on either A or E out of 20 spins total.
--------------------------
c) Due to the nature of random events, the theoretical and empirical probabilities will not match up perfectly (basically every random experience will be different for each person). This is especially true for small sample sizes. However, as you do more spins, you should find that the empirical probabilities will slowly approach the theoretical probability. The theoretical probability is always going to be 2/5 for this problem; while the empirical probabilities will bounce around because of the nature of random chance.
EARTH SCIENCE The order of magnitude of the mass of Earth's
atmosphere is 1018 kilograms. The order of magnitude of the mass of
Earth's oceans is 109 times greater. What is the order of magnitude of the
mass of Earth's oceans?
Answer:
1021
Step-by-step explanation:
1018×103=1018+3=1021
Estimate the value of?
Answer:
D) 2.0
Step-by-step explanation:
We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.
Answer:
[tex]\boxed{Option \ D}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]
Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24
Plugging in the values
=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]
=> 4.396/2.24
=> 1.9
≈ 2.0
A dress is on sale for 20% off.
Including the discount and 9%
tax, the sales price of the dress
is $74.12. What is the price of
the dress before the discount
and tax?

Answer:
Step-by-step explanation:
let's say the price of the dress in the beginning is 100x
the on sale price decreases 80x
80x = 74.12
100 x = 92.75
The endpoints of a line segment can be represented on a coordinate grid by the points
A(-4, 1) and ((-4, -3). Graph and label each of the endpoints of the line segment on
the coordinate grid below.
In the given diagram, find the values of x, y, and z.
Oax = 20°, y = 21°, z = 20°
Ob.x = 64°, y = 21°, z = 64°
Oox = 64°, y = 21°, z = 20°
Odx = 115°, y = 115°, z = 64
Answer:
B) x=64, y=21, z=64
Step-by-step explanation:
X=180-116=64
Y cannot equal 115, and one angle is already 95, and that would put it over 180. The only remaining choice for y=21
z=180-95-21=64
A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?
[tex]\frac{1}{15}[/tex] or 6.67%
Step-by-step explanation:In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.
Now, the probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]
From the question;
The event A is the situation of local residents having a post office box. Therefore the;
number-of-outcomes-in-the-event-A = 8 [since only 8 of the local residents have a post office box]
number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]
Therefore,
P(A) = [tex]\frac{8}{120}[/tex]
P(A) = [tex]\frac{1}{15}[/tex]
The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]
PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:
[tex]\frac{1}{15} * 100%[/tex]% = 6.67%
help!!!
the number of new cars purchased can be modeled by the equation, c=20t^2+135t+3050, where C is the number if new cars and t=0 corresponds to the number of new cars purchased in 1998. in what year will the number of new cars purchased reach 15,000
Answer:
In the year 2019 the number of new cars purchased will reach 15,000.
Step-by-step explanation:
t = 0 corresponds to the number of new cars purchased in 1998. If that is so, we can determine t ( time ) by making our quadratic equation here equal to 15,000 - considering that we want the year the number of cars reaches this value. t here is only the number of years to reach 15,000 cars, so we would have to add that value to 1998, to see the year that the cars will reach 15,000.
The " set up " should look like the following quadratic equation -
20t² + 135t + 3050 = 15,000 - Isolate 0 on one side,
20t² + 135t - 11950 = 0 - From here on let us solve using the quadratic equation formula,
[tex]t=\frac{-135+\sqrt{135^2-4\cdot \:20\left(-11950\right)}}{2\cdot \:20}:\quad \frac{-27+\sqrt{38969}}{8}[/tex],
[tex]t=\frac{-135-\sqrt{135^2-4\cdot \:20\left(-11950\right)}}{2\cdot \:20}:\quad -\frac{27+\sqrt{38969}}{8}[/tex] ... now as you can see we have two solutions, but time can't be negative, and hence our solution is the first one - about 21.3 years. 1998 + 21.3 = ( About ) The year 2019. Therefore, in the year 2019 the number of new cars purchased will reach 15,000.
Answer:
2019
Step-by-step explanation:
first you should change the statement into quadratic equation and replace c with 15000.
c=20t^2+135t+3050.
15000=20t^2+135t+3050
15000-3050=20t^2+135t
11950=20t^2+135t. then write the equation in standard quadratic form.
20t^2+135t-11950=0. after this you got 4 ways of solving the quadratic equation but I am just gone using quadratic formula:
-b+ - √b^2-4ac. a,b and C stand for the
2a. the coefficients
-135+ - √((135)^2-4(20)(-11950))
2(20)
-135+ - √(974225))
)) 40
-135 - 987 or -135+ 987
40. 40
-1122/40. or 852/40
- 28.05 or. 21.3
in this case we have to answer but time cannot be negative we take value 21.3(it is the approximate value)
so we add 21.3 to 1998 to find the year
>>21.3 + 1998 = 2019.3 but we write it as 2019 instead of 2019.3
Plz answer quickly!!!! Express the point on the number line as both a fraction and a decimal.
Answer:
3.22 or 161/50
Answer:
3.22 and 3 11/50/166/50
Step-by-step explanation:
The points in between 3.2 and 3.3 go 3.21, 3.22, 3.23, etc. So first we just write it as a decimal. Easy. Then we write it as a fraction. Writing it as a mixed number would just be 3 22/100 because .01*100 is 1. I simplified it and then converted it into an improper fraction. I hope this helped.
Mr. Martin's math test, which is worth 100 points, has 35
problems. Each problem is worth either 5 points or 2
points.
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
o 10p
2 poi
x + y = 35,
o 15p
2po
5x + 2y = 100
20
2 pc
25
[5x +2y]35 =100
ddddddddddddd
If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?
Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].
[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
If sin θ = 4/5.
The value of the cosine is negative. Then the cosine of angle θ is given as,
cos θ = -√(1 - sin²θ)
cos θ = - √[1 - (4/5)²]
cos θ = - √[9/25]
cos θ = - 3/5
θ = 143.13°
The value of the tangent of angle θ is calculated as,
⇒ tan θ
⇒ tan 143.13
⇒ - 0.75
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
More about the trigonometry link is given below.
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Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5
Help plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "101.37 yd"
Step-by-step explanation:
In the given question an attachment file is missing. so, we attached the file and calculates its value:
Use formula:
[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]
In the above-given equation we assume c is the third side:
[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]
c = 101.37 yd
Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence? 1.9, 4.9, 7.9, 10.9, 13.9, ...
Answer:
arithmetic; d = 3; 16.9
Step-by-step explanation:
4.9 - 1.9 = 3
7.9 - 4.9 = 3
10.9 - 7.9 = 3
13.9 - 10.9 = 3
--
13.9 + 3 = 16.9
Answer:
1. Arithmetic 2. 16.9
Step-by-step explanation:
To solve this problem you will need to know the difference between an arithmetic and a geometric.
An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.
A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.
We can see in the sequence that the number that is being added over and over again is 3 so the first answer is arithmetic.
Now that we know that the sequence is arithmetic and the common difference is 3 we can plug that into the equation and we will see that 13.9 + 3 is 16.9
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center observed that about 60% of its morning appointments were with elderly patients. The table shows the results of a simulation used to represent the scenario. The numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]
[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105
[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016
[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062
[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432
Answer:
Step-by-step explpointsanation:
The table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of two books?
Answer:
pretty tall
Step-by-step explanation:
In circle Y, what is m∠1? 6° 25° 31° 37°
Answer:
option c (31)
Step-by-step explanation:
15 poinstsPretend your class is starting a box-making business. Every student needs to design a box with a volume of 3600 cubic inches. Look at the dimensions of the box that Karen designed: My box has a length of 12 inches, a width of 50 inches, and a height of 6 inches: 12 in • 50 in • 6 in = 3600 in3
Bro its so confusing
What is the solution for x. 4/3x-1/3=9
Answer:
x=7
Step-by-step explanation:
4/3x-1/3=9
Add 1/3 on both sides
4/3x=28/3
Multiply the reciprocal
(3/4)(4/3)x=28/3(3/4)
x=7
Hope this helps !!
Answer fast PLS asap TY
Answer:
56.52 units²Step-by-step explanation:
Given, Radius ( r ) = 6 units
Area of semi-circle = ?
Now, let's find the area of semi-circle:
[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]
plug the values
[tex] = \frac{1}{2} \times 3.14 \times {6}^{2} [/tex]
Evaluate the power
[tex] = \frac{1}{2} \times 3.14 \times 36[/tex]
Calculate
[tex] = 56.52 \: [/tex] units²
hope this helps...
Best regards!!
Answer:
56.52
Step-by-step explanation:
6^2*3.14=113.04
113.04/2=56.52
For you, I am just going to give a small explanation but not too much
Which change can be made to correct the chart?
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer:
3x^3/x = 3x^(3-1) = 3x^2
6x*y = 6xy
x^2y *y = x^2y^(1+1) = x^2y^2
4y*y = 4y^2
Step-by-step explanation:
This can be solved using law of Indices.
The expression 3x^3 should be 3x^2.
Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x
Rule: x^a/x^b = x^(a-b)
3x^3/x = 3x^(3-1) = 3x^2 (answer)
_________________________________
The expression 6x should be 6xy.
here term y is missing hence we multiply 6x with y
rule: a*b = ab
6x*y = 6xy (answer)
_________________________________________________
The expression x^2y should be x^2y^2
Here we need power of y as 2, to do that we multiply x^2y by y.
Rule
x^2*x^b = x(a+b)
x^2y *y = x^2y^(1+1) = x^2y^2 (answer)
_____________________________________________
The expression 4y should be 4y^2\
Here we need power of y as 2, to do that we multiply 4y by y.
Rule
x^2*x^b = x(a+b)
4y*y = 4y^2 (answer)
Answer:
b: the expression 6x should be 6xy
Step-by-step explanation:
i just did on edgen 2020
Which regression equation best fits these data?
у
(
-16)
(-2, 145
(1. 15)
- 4
8
-3
12
• (-3, 12)
(2.12)
10
-2
14
(3,9)
(-4,8)
-1
16
(4.5)
5
15
0
12
-2
0
2.
4
6
3
9
4
5
O A. y=-0.43x + 11.34
O B. y= 0.58x2 + 0.43x+15.75
O c. y= 10.72 · 0.95%
O D. y=-0.58x2 - 0.43x+ 15.75
The regression equation best fits these data [tex]y=-0.58x^2 - 0.43x+ 15.75[/tex].
How does linear regression work?Firstly, there is a data set. Then, we try to fit a line that will tell about the linear trend. This line is made using the least-squares method.
When the data shows some trend, either linear (making a line), or non-linear (a predictable curve).
We fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.
Using the exponential regression calculator,
The exponential model was obtained using the data.
Therefore, The regression equation best fits these data
[tex]y=-0.58x^2 - 0.43x+ 15.75[/tex]
Learn more about exponential regression here:
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Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + __ x = __
Answer:
x² + -6x = -13
Step-by-step explanation:
8x² - 48x = -104
x² - 6x = -13
The quadratic equation can be written as x² + (- 6x) = - 13
Quadratic equations are algebraic expressions which the highest value of x in its second degree. It is usually expressed in the form: ax² + bx + c
From the given information, the objective is to simplify the quadratic equation in terms of ax² + bx + c
∴
ax² + bx = cGiven that:
8x² - 48x = -104We need to divide through by (8)
[tex]\mathbf{\dfrac{8x^2}{8} - \dfrac{48x}{8} = -\dfrac{104}{8}}[/tex]x² + (- 6x) = - 13Learn more about quadratic equations here:
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