Answer:
The answer which I think is 3_4
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
5 star rating help quick
Answer:
i think b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is the only one with the coordinates (1,15) (3,25) (5,35) (7,45)
f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).
What is the slope of the line that passes through the points (5, -11) and (-9, 17)?
A: -2
B: -1/2
C: 7
D: 2
Answer:
Step-by-step explanation:
(17+11)/(-9-5)= 28/-14 = -2
answer is A
3(4x-2)=12x
A. The equation has one solution
B. The equation has no solution
C. The equation has a few solution
D. The equation has many solution
The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y = 46 + 0.25x, where x is the number of miles traveled.
what is your cost if you travel 59 miles
cost: 60.75
if your cost Is $66.00, how many miles were you charged for traveling?
miles: ?
you have a max of $100 to spend on a car rental. what would be the maximum number of miles you could Travel?
max miles: ?
Answer:
If your cost Is $66.00, how many miles were you charged for traveling?
y = cost = $66\(66=46+0.25x\\66-46=0.25x\\20=0.25x\\x=\frac{20}{0.25} =80\)80 miles
You have a max of $100 to spend on a car rental. what would be the maximum number of miles you could Travel?
y = cost = $100\(100=46+0.25x\\100-46=0.25x\\54=0.25x\\x=\frac{54}{0.25} =216\)216 miles
Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary
Answer:
16,000$ is the answer
hope it helped
Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
A piece of wire is bent into the shape of a triangle. Two sides have length 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Answer:
The length of the third side is approximately ≈ 14.79 inches
Step-by-step explanation:
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Use the law of cosines to find the length of the missing side.
Let C be the third side.
A = 18
B = 23
Angle C = 40^∘
c^2 = a^2 + b^2 - 2ab cos C
c = √a^2 + b^2 - 2ab cos C
c = √18^2 + 23 ^2 - 2 (18) (23) cos 40^∘
c = √583 - 828 cos40^∘
≈ 14.79
Thus, The length of the third side is approximately 14.79 inches.
Hope this helps!
30. When the polynomial f(x) = (p-1)x³ + px² + qx +r, where p, q and r are constants, is divided by (x + 2) and (x - 1), the remainders are - 5 and 4 respectively. If (x + 1) is a factor of f(x), find the values of p, q and r. Hence, factorize f(x) completely.
Answer:
Step-by-step explanation:
Using the remainder theorem we get:
\(f(-2)=-5\), \(f(1)=4\), and \(f(-1)=0\)
So we get
\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)
\(-8p+8+4p-2q+r=-5\)
\(-4p-2q+r=-13\) \((a)\)
\(f(1)=(p-1)+p+q+r=4\)
\(2p+q+r=5\) \((b)\)
\(f(-1)=-(p-1)+p-q+r=0\)
\(-q+r=-1\) \((c)\)
We need to solve (a), (b) and (c) simultaneously to find p,q, and r.
from \((c)\) \(r=q-1\). Sub this into (a) and (b):
\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\) \((d)\)
\(2p+q+(q-1)=5 \rightarrow q=3-p\) \((e)\)
Sub (e) into (d) we get
\(-4p-(3-p)=-12 \rightarrow p=3\)
Sub \(p=3\) into \((e) \rightarrow q=0\)
Sub \(p=3,q=0\) into \((c) \rightarrow r=-1\)
SOLUTION: \(p=3,q=0,r=-1\)
So \(f(x)=2x^3+3x^2-1\)
by dividing (x+1) into f(x) we get (I am not showing working for this division)
\(f(x)=(x+1)(2x^2+x-1)\)
\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)
Geometry, Unit 2, Lesson 6)
Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees and angle
BDA has a measure of 24 degrees. Find the measure of angle BAC.
ADAC and BDBC
A
D
+
B
C
Type the answer in the box below.
Angle BAC has a measure of
degrees
Answer:I think the answer is 18 degrees.
Step-by-step explanation:in the picture.
Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.
Answer:
The answer is 42 times.
Step-by-step explanation:
The probability of taking out the red bead from the bag every time is
P = 7 ÷ (7 + 8) = 7/15
So, The number of times she expects to take a red bead is 'n'
Therefore,
n = 90 × 7/15
n = 6 × 7 = 42
Thus, The number of times she expects to take a red bead is 42.
belle walks 7/10 mile each morning, and 1, 4/10 miles each evening.
how many miles does she walk in 5 days
Answer:
10.5 miles.
Step-by-step explanation:
If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)
We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.
Answer:
10 1/2
Step-by-step explanation:
divide 7/10 which is 0.7 then multiply that by 5 which is 3.5
then divide 4/10 which is 0.4 then multiply that by 5 which is 2, but add 5 which is 7.
then combine all of that together which is 3.5+7= 10.5
then convert that into a fraction which is 10 1/2
Changs gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Changs tank hold?
Answer:
26 gallons
Step-by-step explanation:
Set up an equation to represent this problem. Parameter (x) represents the gas tank when it is filled. Based on the problem;
\(\frac{1}{5}x + 13 = \frac{7}{10}x\)
Inverse operations;
\(\frac{1}{5}x + 13 = \frac{7}{10}x\\-\frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{1}{5}x\\\\\)
Convert to combine denominator, and simplify,
\(13 = \frac{7}{10}x - \frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{2}{10}x\\\\13 = \frac{5}{10}x\\\\13 = \frac{1}{2}x\)
Inverse operations,
\(13 = \frac{1}{2}x\\*2\\\\26 = x\)
26 gallons
An exam consists of 50 multiple choice questions. Based on how much you studied, for
any given question you think you have a probability of
p = 0.70 of getting the correct answer. Consider the
sampling distribution of the sample proportion of the 50
questions on which you get the correct answer.
Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
\(\mu = p = 0.7\)
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648\)
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Find the surface area
Check the picture below.
so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)
so now let's get the areas of those triangles and those rectangles.
\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Hi I’d like to get a step by step explanation of this problem
Answer:
A) To answer this question, we need the total number of males and females that smoke, which is 40+20=60. This means that 60 of 200 smoke. So to calculate the probability,
\(\frac{60}{200}\\ =\frac{3}{10}\\\) OR 0.3
B)To answer this question, we will need to find out the number of females that were surveyed, which is 20+60=80. Now that we know that 60 out of 80 do not smoke, we can find out that the probability of selecting a female that does not smoke is
\(\frac{60}{80}=\frac{3}{4} OR 0.75\\\) 0.75
C)Same as the previous questions, find out the total males surveyed(40+80=120), and find the probability,
\(\frac{40}{120}=1/3\) OR 0.333
HOPE THIS HELPS!
As part of a survey, 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite. Based upon the results, how many of the next 200 girls surveyed would you expect to choose bowling as their favorite sport?
The number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
What is percentage?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Given that 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite.
The percentage of girls that selected the sport is thus:
12/ 300 (100) = 4%
For the next 200 girls, calculate the 4% of the number to get the number of girls who like bowling:
200 (4%) = N
N = (200)(4/100)
N = 8
Hence, the number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
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How long will it take to pay off 47,538 with only 4,782 per month?
Please HELPPPP
Answer:
9.9 months not counting mortgage or any other factors
Step-by-step explanation:
In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
Explain in your own words how to find the area of a triangle. * Your answer
Answer:
Step-by-step explanation:
\(Area \ of \ the \ triangle = \dfrac{1}{2}bh\)
b is the base of the triangle.
h is the perpendicular height
What’s the correct answer for this?
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The centre coordinates would be the opposite value of what is in the brackets
For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3
The same would apply to the y value
The radius would be the square root of 36
Thus, your answer would be option A
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Simplify the expression (-7 + 2)(8) =
Answer:
-40
Step-by-step explanation:
(-7 + 2)(8)
(-5)(8)
-40
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
You start at (4, 4). You move up 5 units. Where do you end?
Answer:
(4,9)
Step-by-step explanation:
4+5=9
Find the value of the variable in circle N.
the value of the variable in circle N is: 19.60 unit.
What are the variables in circle?The formula for a circle is (x - h)² + (y - k)² = r², where r is the radius and (x, y) is the circle's centre. In the circle graph, the variables h and k stand for changes in the horizontal or vertical axis. The radius, which is often denoted by the variable "r," is the distance between a circle's centre and its edge. The definition of a circle is the collection of all points that are equally spaced apart from a given point; this fixed point serves as the circle's centre, and the radius of the circle is the separation between the sets of points from the centre.
Given that,
the variable becomes = x
16(16 + 8) = x²
or, x² = √384
or, x = 19.60 unit
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effectivness of advertising a company wishes to test the effectiveness of its advertising., a product is selected, and two types of ads are written
To test the effectiveness of advertising, it is important to first define the goals of the advertising campaign. Is the goal to increase brand awareness, drive sales, or something else? Once the goals have been defined, it is possible to develop a plan to measure the effectiveness of the advertising.
One way to test the effectiveness of advertising is to use a controlled experiment, where the product is advertised to one group and not to another, and the behavior of the two groups is compared. This can be done through online surveys, focus groups, or other methods of gathering customer feedback.
It is also important to consider the target audience for the advertising and the channels through which the ads will be delivered. For example, if the target audience is young adults, it may be more effective to advertise on social media platforms or through targeted online ads rather than through traditional methods such as print or television ads.
Finally, it is important to track the results of the advertising campaign and analyze the data to determine its effectiveness. This can be done through metrics such as sales data, website traffic, and customer feedback. By regularly measuring and analyzing these metrics, it is possible to continuously improve the effectiveness of the advertising efforts.
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The coefficient is always between which two numbers
Answer:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1 indicating perfect correlation
Step-by-step explanation:
Answer:
-1 and 1, with 1 or -1
Step-by-step explanation:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1