Answer:
5x-2
Step-by-step explanation:
the 'x' is "a number"
The center of the circle below is at P. If the angle < APB measures 67°, and the radius is 13 cm., find the length of the arc AB in cm.. (round to the nearest tenth)
The length s of an arc enclosed by an angle θ (in degrees) in a circle with radius r is:
[tex]s=\frac{\theta}{360º}\times2\pi r[/tex]Replace θ=67º and r=13cm:
[tex]s=\frac{67º}{360º}\times2\pi(13cm)=15.2018...cm\approx15.2cm[/tex]Therefore, the correct choice is option C) 15.2cm.
5m x
= 20mn ???????????????
Answer:
the answer is 4n
Step-by-step explanation:
20/5 is equal to 4 so if u multiply 5m*4n=20mn
A rectangle has a length of x+2 and a width of x+4, what is the perimeter?
Answer:
4x + 12
Explanation:
The perimeter of a rectangle can be calculated as two times the length plus two times the width. So, the perimeter is:
Perimeter = 2(x + 2) + 2(x + 4)
Applying distributive property, we get:
Perimeter = 2*x + 2*2 + 2*x + 2*4
Perimeter = 2x + 4 + 2x + 8
perimeter = 4x + 12
Therefore, the perimeter is 4x + 12
8) A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?a) Write a proportion to represent the situation.b)Solve the proportion.
A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?
a) Write a proportion to represent the situation.
b) Solve the proportion.
Using a proportion
10/8=35/x
solve for x
Multiply in cross
10*x=8*35
x=(8*35)/10
x=$28
therefore
the answer is
$28Use the distance formula do to determine what type of triangle DEF is if it has coordinates D(2, 1), E(3, 5), F(6, 2). Just write the number you get under the square root symbols in the blank below in order.1. What is the length of DE2. What is the length of EF3. What is the length of DFList your answers for the above length of sides the name what type of triangle is DEF
Step 1
Draw the triangle DEF
Step 2
State the formula for the distance between two points
[tex]D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)}^2[/tex]Step 3
Find the length of DE
[tex]\begin{gathered} DE=\sqrt[]{(3-2)^2+(5-1)^2} \\ DE=\sqrt[]{1^2+4^2} \\ DE=\sqrt[]{1+16} \\ DE=\sqrt[]{17} \end{gathered}[/tex]Step 3
Find the length of EF
[tex]\begin{gathered} EF=\sqrt[]{(6-3)^2+(2-5)^2} \\ EF=\sqrt[]{3^2+(-3)^2} \\ EF=\sqrt[]{9+9} \\ EF=\sqrt[]{18} \end{gathered}[/tex]Step 4
Find the length of DF
[tex]\begin{gathered} DF=\sqrt[]{(6-2)^2+(2-1)^2} \\ DF=\sqrt[]{4^2+1^2} \\ DF=\sqrt[]{16+1} \\ DF=\sqrt[]{17} \end{gathered}[/tex]Step 5
Find out what type of triangle it is.
An isosceles triangle is a triangle that has two sides of equal length.
Since triangle DEF has lines DF and DE to be equal in length, we can conclude that triangle DEF is an Isosceles triangle
Chen hikes some miles during the first week of his vacation. During the second week of his vacation, he hikes 18 miles. He hikes 37 miles total during both weeks. How many miles does Chen hike during the first week? Show your work
The most appropriate choice for subtraction will be given by -
Chen hiked 19 miles in the first week
What is subtraction?
Subtraction is used to find the difference between two numbers. It is also used for taking one number from the other. The larger number is called minuend and the smaller number is called subtrehend.
Total distance hiked by Chen = 18 miles
Distance hiked by Chen in second week = 37 miles
Distance hiked by Chen in the first week = 37 - 18
= 19 miles
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What is the converse of the conditional statement?x is even, then x + 1 is odd.O fx is not even, then x + 1 is not odd.Ox+1 is odd, then x is even.O fx+1 is not odd, then x is not even.Ofx is even, then x + 1 is not odd.
Given:
Conditional statement x is even, then x + 1 is odd.
Required:
What is the converse of the conditional statement?
Explanation:
The converse statement of a conditional statement "If p then q" is given by "If q then p".
Then, the converse statement of the given conditional statement will be :
If x is odd then x+1 is even.
Answer:
If x is odd then x+1 is even.
If A and B are independent events with P(A) = .05 and P(B) = .65, then P(A | B ) = _____. a..8b..0325c..65d..05
Given: A and B are independent events with P(A) = 0.05 and P(B) =0 .65.
Required: To find P(A | B).
Explanation: For independent events A and B we have
[tex]P(A\cap B)=P(A)\times P(B)[/tex]Hence,
[tex]P(A|B)=\frac{P(A)\times P(B)}{P(B)}[/tex]which gives,
[tex]\begin{gathered} P(A|B)=P(A) \\ =0.05 \end{gathered}[/tex]Final Answer: Option D is correct.
Researchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days.
Activity Morning Noon Afternoon Evening Total
Travel 6 6 14 13 39
Feed 28 4 0 56 88
Social 38 5 9 10 62
Total 72 15 23 79 189
What is the probability that a dolphin group is partaking in social activities?
Round your final answer to 3 decimal places.
b) What is the probability that a dolphin group is around in the afternoon?
Round your final answer to 3 decimal places.
c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon?
Round your final answer to 3 decimal places.
d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities?
Round your final answer to 3 decimal places.
e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?
Round your final answer to 3 decimal places.
f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?
Round your final answer to 3 decimal places.
g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?
Round your final answer to 3 decimal places.
The probabilities for this problem are given as follows:
a) Dolphin partaking in social activities: 0.328 = 32.8%.
b) Dolphin group is around in the afternoon: 0.122 = 12.2%.
c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.
d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.
e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.
f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.
g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.
Item aThe outcomes are as follows:
Desired: 62 Dolphins partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 62/189 = 0.328 = 32.8%.
Item bThe outcomes are as follows:
Desired: 23 Dolphins around in the afternoon.Total: 189 Dolphins.Hence the probability is:
p = 23/189 = 0.122 = 12.2%.
Item cThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 23 Dolphins around in the afternoon.Hence the probability is:
p = 9/23 = 0.391 = 39.1%.
Item dThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 9/62 = 0.145 = 14.5%.
Item eThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 38/62 = 0.613 = 61.3%.
Item fThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 38/189 = 0.201 = 20.1%.
Item gThe outcomes are as follows:
Desired: 72 Dolphins around in the morning, plus 24 partaking in social activities in either noon, afternoon or evening. Total: 189 Dolphins.Hence the probability is:
p = 96/189 = 0.508 = 50.8%.
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Which of the following is the largest?A) 0.45b) πc)3 1/4d) 17 A BCD
The value of π is given and it is approximately 3.1416
Additionally, 3 1/4 is equivalent to:
[tex]3\frac{1}{4}=3+\frac{1}{4}=3+0.25=3.25[/tex]So, the largest number is D. 17
What are the coordinates of the point on the directed line segment from (5, -4) to (8, -10) that partitions the segment into a ratio of 2 to 1?
The coordinates along the directed line segment is (7, -8)
What is line segment ratio?This is a concept that involves partitioning a line into proportional ratios
How to find the coordinates of the point?The points are given as:
A = (5, -4)
B = (8, -10)
The ratio on the segment can be represented as;
m : n = 2 : 1
So, we have the coordinates of the point that lies along the directed line segment to be
Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)
So, we have:
Point = 1/(2 + 1) * (2 * 8 + 1 * 5, 2 * -10 + 1 * -4)
Evaluate
Point = 1/3* (21, -24)
Evaluate the products
Point = (7, -8)
Hence, the coordinates of the point is (7, -8)
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Answer:
Full Answer:(7,−8)
Step-by-step explanation: �
what is the factorization of 7 y + 56
Given the expression:
[tex]7y+56[/tex]notice that both coefficients are divisible by 7, then, we can factor the expression like this:
[tex]7y+56=7(y+8)[/tex]PLEASE HELP AND BE FAST!! I will give brainlesest to whoever has the right awnser!
After using exponent and power we will get [tex]\frac{1}{16}[/tex] that means the correct option is C.
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.
Given that,
[tex](\frac{(\frac{1}{4})^{7} }{(\frac{1}{4})^{6} })^{2}[/tex]
In the numerator [tex]\frac{1}{4}[/tex] is 7 times and in the denominator [tex]\frac{1}{4}[/tex] is 6 times.
By using the rule of division in exponent and power
[tex]\frac{(a)^{m}}{(a)^{n}} = (a)^{m-n}[/tex]
[tex]((\frac{1}{4})^{7-6})^{2}[/tex]
[tex](\frac{1}{4})^{2}[/tex]
[tex]\frac{1}{16}[/tex]
Hence, Option c is correct.
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Etudier le signe du trinôme :
-3x² +6x+9 sur [-10,10].
you. aren't. alone.......
Find a. the mean; b. the deviation from the mean for each data item; and c. the sum of the deviations in part (b) for the
following group of data items.
136, 141, 146, 149, 153
Given the dataset 136, 141, 146, 149, 153
The mean is the total number of datasets divided by the sum of the datasets.
What is meant by mean?The average of a set of values is referred to as the mean. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all methods for calculating the mean.
The mean of a dataset (also known as the arithmetic mean, as opposed to the geometric mean) is the total number of values divided by the sum of all values. It is the most commonly used measure of central tendency and is also known as the "average."
Therefore,
a) [tex]$&\text { Mean }=\sum X i / N \\[/tex]
[tex]$&\bar{x}=\frac{136+ 141+146+ 149+ 153}{5} \\[/tex]
[tex]$&\bar{x}=\frac{725}{5} \\[/tex]
[tex]$&\bar{x}=145[/tex]
b) The formula for calculating the deviation from the mean for each value is expressed as [tex]$X i-\bar{X}[/tex] where;
Xi is value of each item
x bar is the mean = 145
Mean deviation of 136 = 136-145 = -9
Mean deviation of 141= 141-145 = -4
Mean deviation of 146= 146-145 = 1
Mean deviation of 149= 149-145 = 4
Mean deviation of 153= 153-145 = 8
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) Graph and label the following and then tell where the point is located. (quadrant or axis) W (-3,0) I (-2, -3) N (0,4) T (-1, 2) E (6, -2) R (-5, -6).
The (-3,0) is on x- axis, (-2,-3) is on third quadrant, (0,4) is on y- axis, (-1,2) is on second quadrant, (6,-2) is on fourth quadrant, (-5,-6) on third quadrant.
What is quadrant?
The quadrants on a graph are the four parts of a 2D Cartesian plane. Each quadrant is an infinite region, and adjacent quadrants meet on half of an axis (the positive or negative half of the x or y axis).
In first quadrant all the values are positive, in second quadrant x co-ordinate is negative and y is positive, on third quadrant both values are negative, and in fourth quadrant, y co-ordinate is negative and y is positive,
when the value of x co-ordinate is zero then value lies on y-axis
when the value of y co-ordinate is zero, the point lies on x -axis.
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 A TV has a listed price of $784.98 before tax if the sales tax is 7.75% find the total cost of the TV with sales tax included
The total cost of the television with sales tax included is $ 845.81
What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100
Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81
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Help me please
help me before my teacher comes
(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6
Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
Consider the equation,
6x + 2y = - 12
The equation of a line in slope intercept form is given as:
y = mx + b where m is the slope and b is the y-intercept.
Now,
6x + 2y = - 12
Subtracting 6x from each side of the equation,
6x + 2y - 6x = - 12 - 6x
2y = - 12 - 6x
Dividing each side of the equation by 2,
y = - 3x - 6
Comparing the equation with y = mx + b.
m = - 3 and b = - 6
Therefore, the equation in slope intercept form is y = - 3x - 6.
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Which expression is in simplest form?A. 2r2/7yB. 273/7y4C. XyV16xyOD. 2V7274
The expression in its simplest form cannot be simplified or factorized any further.
From the options given, answer option A, which is
[tex]2x^2\sqrt[]{7y}[/tex]Cannot be factored any further.
This expression is in its simplest form.
The others, that is options B, C and D can be simplified further.
The answer is option A
Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as improper fractions, if necessary.
passes through (-2, 2), perpendicular to y = -5x-8
The equation of the line is y = (1/5)x - 8/5, the slope of the line is 1/5 and the y intercept is -8/5
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
The perpendicular line equation is
y = -5x-8
The slope of the perpendicular line = -5
The slope of the main line = -(1/-5)
= 1/5
The line is passing through the point (-2,2)
y = mx + b
-2 = (1/5)(-2) + b
-2 = -2/5 +b
-2 +2/5 = b
b = -8/5
The equation of the line
y = (1/5)x - 8/5
Hence, the equation of the line is y = (1/5)x - 8/5, the slope of the line is 1/5 and the y intercept is -8/5
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Find the value of ab when a = 2/7 and b = 2/5 The answer is (Simplify your answer.)
The expression ab means that a is multiplying b.
Substituting with a = 2/7 and b = 2/5 into the expression we get:
[tex]\frac{2}{7}\cdot\frac{2}{5}=\frac{2\cdot2}{7\cdot5}=\frac{4}{35}[/tex]Suppose $15,000 is invested in an account with an APR of 4.6%.
If the interest is compounded annually, how much interest is earned over the first 12 years?
If the interest is compounded monthly, how much interest is earned over the first 12 years?
If the interest is compounded daily, how much interest is earned over the first 12 years?
If the interest is compounded continuously, how much interest is earned over the first 12 years?
Answer:
Step-by-step explanation:
P=Po(1+(r/n)^nt,
t=time in years
r=rate
n=number of compoundings per year
=17000(1+.046)^12, round at the end = $29162.79
Annually = 15000 (1+(.046/12))^144 = $29493.15
Monthly = 15000 (1+.046/365))^(365*12) = $29523.26
Daily = Poe^(rt)=Poe^(.552) = $29524.29
interest earned is each of the above minus $15000 that was the principal.
You accidentally dial one number on your phone's keypad. Find the probability that the number you dialed is greater than or equal to 0.
The probability of dialling one number of phones keypad and it being a number greater or equal to 0 is 100% as there is no smaller number than 0 in the keypad.
What is probability?Probability is defined as the ratio of favorable outcomes to all possible outcomes of an event. The proportion of positive outcomes, or x, for an experiment with 'n' outcomes can be expressed. The following formula can be used to determine the likelihood of an event.
Probability (Event) = Positive Outcomes/Total Outcomes = x/n
Let's say that we need to make a rain prediction. Both "Yes" and "No" are acceptable responses to this query. Both rain and no rain are possible outcomes. Probability can be used in this case. When throwing coins, rolling dice, or drawing a card from a deck of cards, the results are predicted using probability.
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What is a biome?
A
B
C
What’s the correct answer answer asap for brainlist
Option A
Step-by-step explanation:A large naturally occurring community of flora and fauna occupying a major habitat, e.g. forest or tundra. A biome is a large area characterized by its vegetation, soil, climate, and wildlife.
Maddie is setting out some snacks for friends she is having over. She has 20 crackers and 30 slices of cheese. If she wants each plate to be identical, with no food left over, what is the greatest number of plates Maddie can prepare?
hi how are you , attached document not sure if my choice its correct
1) To find the mean of this data set, we need to add them up and divide it by the number of data points.
2) So let's write them down:
12, 17,16,10,20,13,14,14,12,12,19,18
[tex]\begin{gathered} \bar{x}=\frac{12+17+16+10+20+13+14+14+12+12+19+18}{12} \\ \bar{x}=14.75 \end{gathered}[/tex]And that is the answer.
It rained 2 out of the last 12 days in March. If this trend continues, how many rainy days would you expect in April?6759
SOLUTION:
Step 1:
In this question, we are given the following:
It rained 2 out of the last 12 days in March. If this trend continues,
how many rainy days would you expect in April?
Step 2:
Recall that there are 30 days in the month of April, and for us to have a definite proportion, we need to do the following:
[tex]\frac{2}{12}=\frac{x}{30}[/tex]we cross-multiply and we have that:
[tex]\begin{gathered} 12\text{ x = 2(30)} \\ \text{Divide both sides by 12, we have that:} \\ \text{x=}\frac{60}{12} \\ \text{x = 5 days} \end{gathered}[/tex]CONCLUSION:
It is expected to rain for a given period of 5 days in the month of April.
Write an equation of the line passing through the points (3,9) and (-1,-15).
I
Answer:
y = 6x - 9
Step-by-step explanation:
equation of line y = mx + b
lets find the slope m = (y2-y1)/(x2-x1):
m = ((-15)-9)/((-1)-3)
m = 6
let's plug this into our equation:
y = 6x + b
now we can plug in a point, I choose (3,9)
9 = 6(3) + b
b = -9
lets plug everything into our equation
y = 6x - 9
.
Find the height
h of a cone
volume V = 32 cm³ and radius
r = 4 cm.
Pls help in simple instructions I don’t understand
volume V = 32 cm³ and radius r = 4 cm.The height is 6 cm tall.
The cone's height is determined using the cone height formula. Using cone height formulae, the cone's height is given as h = 3V/r 2.
What is the explanation:
Given,
Cone volume = V = 32 cm3
Cone radius = r = 4 cm
Cone height h=
Having said that,
Cone volume = [tex]\pi rx^{2} h/3[/tex]
Assigning values
[tex]32\pi =\pi (4)x^{2} h/3[/tex]
[tex]32\pi =16\pi h/3[/tex]
16 divided by both sides.
[tex]32\pi /16\pi =16\pi /16\pi *h/3[/tex]
[tex]2=h/3[/tex]
[tex]h/3=2[/tex]
Adding 3 to both sides
[tex]3*h/3=*3[/tex]
h=6
The heiht is 6 cm .
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determine if the sequence is arithmetic
-9,21,51,81
The statement about the sequence that is true is that it is an arithmetic sequence
How to determine the true statement?The sequence is given as
-9,21,51,81
Test for arithmetic sequence:
An arithmetic sequence is any seqeunce that has a common difference
So, we start by checking if the sequence has a common difference
This is represented as
d = 21 - (-9) = 30
d = 51 - 21 = 30
d = 81 - 51 = 30
The sequence -10, -3, -10, -3, -10, ... has a common difference
This is so because the difference between consecutive terms of the sequence is the same i.e. 30
Hence, the sequence is an arithmetic sequence
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