Answer:
a- independent x
dependant = y
An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure.
The dependent variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is.
b)
slope = (y2-y1) / (x2-x1)
= (3-0) / (1-0) = 3
The linear function formulas are: y = mx + b (slope-intercept form)
point (0,0) given
y = 3x +b
0 = 3 *0 + b
b = 0
y = 3x is the linear function
d)
3 movies ( × = 3)
y = 3x
y = 9
Please help!! Thank you so much!!
Answer:
AC, AB, BC
Step-by-step explanation:
3x-13+2x-20+x+15=180
6x-18=180
6x=198
x=33
<a 86
<b 46
<c48
You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 8 years and the total interest earned after 5 years is $108. What is the annual interest rate?
The annual interest rate is approximately 0.06 or 6%.
To solve this problem, we can use the formula for simple interest.
Interest = Principal * Rate * Time
Let's denote the annual interest rate as "r."
After 8 years, the total interest earned is given by:
Interest after 8 years = Principal * Rate * Time
= $600 * r * 8
= $4800r
After 5 years, the total interest earned is given by:
Interest after 5 years = Principal * Rate * Time
= $600 * r * 5
= $3000r
According to the given information, the difference between the total interest earned after 8 years and the total interest earned after 5 years is $108:
Interest after 8 years - Interest after 5 years = $4800r - $3000r = $108
Simplifying the equation:
$1800r = $108
Now, we can solve for the annual interest rate "r":
r = $108 / $1800
r ≈ 0.06
The annual interest rate is approximately 0.06 or 6%.
Therefore, the annual interest rate is 6%.
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A rectangle has a perimeter of 45 ft. The length and width are scaled by a factor of 1.5.
What is the perimeter of the resulting rectangle?
Enter your answer in the box.
Perimeter is the sum of the 4 sides. If the sides are scaled by a factor of 1.5, then the perimeter is also scaled by a factor of 1.5.
New perimeter: 45 ft x 1.5 = 67.5 feet.
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф = \(\frac{\sqrt{2} }{2}\)
→ Inverse cosine \(\frac{\sqrt{2} }{2}\)
cos⁻¹ ( \(\frac{\sqrt{2} }{2}\) ) = 0.25π
Answer:
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф =
→ Inverse cosine
cos⁻¹ ( ) = 0.25π
Step-by-step explanation:
On a coordinate plane, a line goes through (0, 1) and (5, 0). what is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5
Answer: \(y=5x+1\)
Step-by-step explanation:
The slope of the given line is
\(\frac{1-0}{0-5}=-\frac{1}{5}\)
Since perpendicular lines have slopes that are negative reciprocals, the slope of the line we want to find is 5.
Since the y-intercept is (0,1), the equation is \(y=5x+1\).
Answer: the answer is c
Functions A function is defined by the equation f(x) = 2x - 5
the area of a square field is 50625 meter square find its perimeter
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
Which expression is equivalent to (x^-6/x^2)^3
1/x
1/x^5
1/x^9
1/x^24
Step-by-step explanation:
1/x^24 is the correct expression
will mark brainliest
Answer:
12 sq units
Step-by-step explanation:
solve for x
7x/2+5=8
o x=6/7
o x=26/7
o x=21/2
o x=91/2
Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
\(\huge{\boxed{\bold{ANSWER}}}\)
╭⋟───────────────
\( \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} \)
So, the answer is \(\boxed{x = \frac{6}{7}}\)
───────────────⋞╯
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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Use the vertex ( h, k ) and a point on the graph ( x, y ) to find the standard form of the equation of the quadratic function:Vertex = (-4,2)Point = (-4,0)F( x )= Answer for coordinate 1 (x- Answer for coordinate 2 )^2 +Answer for coordinate 3
In order to find the quadratic equation, let's use the vertex form below:
\(y=a(x-h)^2+k\)Where the vertex is located at (h, k).
So, if the vertex is (h, k) = (-4, 2) and using the point (x, y) = (-4, 0), we have:
\(\begin{gathered} y=a(x+4)^2+2 \\ 0=a(-4+4)^2+2 \\ 0=a\cdot0^2+2 \\ 0=2 \end{gathered}\)Since the final statement is false, it's not possible to have a quadratic function with vertex (-4, 2) and with the point (-4, 0).
If we use the point (4, 0) instead, we would have:
\(\begin{gathered} y=a(x+4)^2+2 \\ 0=a(4+4)^2+2 \\ 0=a\cdot64+2 \\ 64a=-2 \\ a=-\frac{2}{64} \\ a=-\frac{1}{32} \end{gathered}\)So the equation in this case would be:
\(y=(-\frac{1}{32})(x-(-4))^2+2\)The empty spaces would be filled with the values -1/32, -4 and 2.
Please help!!!! Will mark brainliest to correct answer. What is the solution to the following equation sqrt x-3+1=6. A.64 B.46 C.28. D.22
Answer:
Step-by-step explanation:
\(\sqrt{x-3} +1=6\\\sqrt{x-3}+1-1=6-1\\\sqrt{x-3}=5\\(\sqrt{x-3})^2=5^2\\x-3=25\\x-3+3=25+3\\x=28\\\)
We can conclude the correct answer is C.
BC has endpoints at B(3, 8) and C(7,6). Find the midpoint M of BC.
Write the coordinates as decimals or integers.
Submit
Answer: (5, 7)
Step-by-step explanation: Midpoint formula is ((x1 + x2)/2, (y1+y2)/2) where (x1, y1) and (x2, y2) are points on a line. Thus
(3+7/2, 8+6/2) = (5, 7)
Use the Limit Comparison Test to determine the convergence or divergence of the series. summation ^ infinity _ n = 1 n + 7/n^3 - 3n + 3 n + 7/n^3 - 3n + 3 lim_n rightarrow infinity = l > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Summation ^ infinity _ n = 1 n^k-1/n^k+7, k > 2 n^k-1/n^k +7 lim n rightarrow infinity = l >0 converges diverges
For the first series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:
lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] / (1/n^2)
= lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] * (n^2/1)
= lim_n->∞ [(n^3 + 7n^2)/(n^3 - 3n + 3)]
Since the numerator and denominator both have degree 3, we can apply L'Hopital's rule:
= lim_n->∞ [(3n^2 + 14n)/(3n^2 - 3)]
= lim_n->∞ [3 + 14/n] / [3 - 3/n^2]
= 3/3 = 1
Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.
For the second series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:
lim_n->∞ [(n^(k-1))/(n^(k+7))] / (1/n^2)
= lim_n->∞ (n^(k-1) * n^2) / (n^(k+7))
= lim_n->∞ n^(k+1) / n^(k+7)
= lim_n->∞ 1/n^6
Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.
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The angle of elevation from object a to object b is always ______ the angle of depression from object b to object a.
choice:
less than
unrelated to
greater than
equal to
Answer:
Equal to
Step-by-step explanation:
The angle of depression from object A to object B is always Equal to the angle of elevation from object B to object A.
It was in the notes in slide 7 in the bottom
The angle of elevation from object a to object b is always unrelated to the angle of depression from object b to object a.
What is The angle of elevation?The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object. For example, if you are standing on the ground looking up at the top of a mountain, you could measure the angle of elevation.The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.The angle of elevation from object a to object b is always unrelated to the angle of depression from object b to object a.
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You roll a fair ten-faced die, numbered from one to ten, then ten you draw a card from a standard deck of 52 cards.
a) What is the size of the sample space?
b) Find P(A), A is the outcome in which you roll a 10 and then draw the Ace of spades.
c) Find the chances of you rolling a number smaller than 9 and then drawing the Ace of spades.
d) Find the chances of you rolling the number 10 and then drawing a card of spades.
e) Find the chances of you rolling a number smaller than 9 and then drawing a card of spades, or rolling anything and then drawing the ace of spades.
--------
a) The size of the sample space is the total number of possible outcomes. In this case, the sample space consists of rolling a ten-faced die and drawing a card from a standard deck, resulting in a sample space of 10 * 52 = 520 outcomes.
b) The probability of event A, which is rolling a 10 and then drawing the Ace of spades, can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
c) The probability of rolling a number smaller than 9 and then drawing the Ace of spades can be determined similarly.
a) Since there are 10 possible outcomes when rolling the die and 52 possible outcomes when drawing a card, the total number of outcomes in the sample space is 10 * 52 = 520.
b) To find the probability of event A, we need to determine the number of favorable outcomes. There is only one outcome where you roll a 10 and then draw the Ace of spades. Therefore, P(A) = 1/520.
c) The probability of rolling a number smaller than 9 and then drawing the Ace of spades depends on the favorable outcomes in the sample space. There are 8 possible outcomes when rolling a number smaller than 9, and only one favorable outcome when drawing the Ace of spades. So, P(rolling <9 and drawing Ace of spades) = (8/10) * (1/52) = 2/65.
d) The probability of rolling the number 10 and then drawing a card of spades is calculated in a similar manner. There is one favorable outcome for rolling a 10 and 13 favorable outcomes for drawing a spade. Thus, P(rolling 10 and drawing spade) = (1/10) * (13/52) = 1/40.
e) The probability of rolling a number smaller than 9 and then drawing a card of spades, or rolling anything and then drawing the Ace of spades, can be found by adding the probabilities of the individual events. P(rolling <9 and drawing spade or rolling anything and drawing Ace of spades) = (8/10 * 13/52) + (10/10 * 1/52) = 53/65.
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The base of a solid s is the region bounded by the circle x^2 y^2=16
The circle has a center at the origin (0, 0) and have a radius of 4 units.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is constant.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
The circle given by the equation:
x² + y² = 16
Hence the center is (0, 0) and the radius is 4 units.
The circle has a center at the origin (0, 0) and have a radius of 4 units.
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The center is (0, 0) and the radius is 4 units.
What is the circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The base of a solid is s is the region bounded by the circle is;
\(\rm x^2+ y^2=16\)
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
On comparing with the standard equation of a circle;
h = 0 , k = 0 and r =4
Hence. the center is (0, 0) and the radius is 4 units.
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2 cm 10 cm 13cm make a line segment tringle
25. One source of bias in self-selected samples and voluntary response samples is that the people who are likely to respond are those who:
The sample population may not be representative of the entire population, and the findings may not be generalizable to the whole population.
One source of bias in self-selected samples and voluntary response samples is that the people who are likely to respond are those who are more interested in or feel more strongly about the topic than those who do not respond.
However, not everyone would be willing to participate in a study or survey.
In self-selected samples and voluntary response samples, people who choose to participate are usually those who have a strong interest in the topic.
This can result in bias since their views may be different from those who chose not to participate.
Therefore, the sample population may not be representative of the entire population, and the findings may not be generalizable to the whole population.
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What is the range of the function?
Does the order of multiplication and division matter?.
Answer:
it doesn't matter if you do division or multiplication first, but they must be done after parentheses and exponents and before addition and subtraction.
Step-by-step explanation:
trust me
Candice leaves on a trip driving at 25 miles per hour.four hours later,her sister liz starts from the same location driving at 50 miles per hour.how long after liz leaves home will she catch up to candie
Answer:
Step-by-step explanation:
Candice = 25mph for 4 hours.
Candice has driven= 25 * 4= 100miles.
Liz =50mph
Liz time to catch up to candice= 50 * 2= 100miles.
Therefore, It would have taken Liz two hours to catch up with Candice
A survey asked 200 students to choose their favorite type of movie. The results are shown in the following table.
The picture shows the rest.
The percentages for each type of movie are as follows:
1. Romance: 11 %
2. Horror: 26 %
3. Comedy: 36 %
4. Action: 13 %
5. Mystery: 14 %
To find the percentage for each type of movie, we divide the frequency of each type by the total number of students (200) and multiply by 100.
1. Romance: 22/200 * 100 %
= 22/2 %
= 11 %
2. Horror: 52/200 * 100 %
= 52/2 %
= 26 %
3. Comedy: 72/200 * 100 %
= 72/2 %
= 36 %
4. Action: 26/200 * 100 %
= 26/2 %
= 13 %
5. Mystery: 28/200 * 100 %
= 28/2 %
= 14 %
Therefore, the percentages for each type of movie are as follows:
1. Romance: 11 %
2. Horror: 26 %
3. Comedy: 36 %
4. Action: 13 %
5. Mystery: 14 %
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Given question is incomplete, the complete question is below.
A survey asked 200 students to choose their favorite type of movie. The results are shown in the following table.
find the percentage for each type of movie
4) 3g-10=50
Help asappp
Answer:
g=20
Step-by-step explanation:
3g−10+10=50+10
3g=60
3g / 3 = 60/3
g=20
Events A and B are dependent. Suppose P(B|A)= 0.6 and P(A and B)=0.15
P(A)=?
The correct answer is 0.25.
Given P( B|A) i.e. the conditional probability as 0.6
and P( A and B) is 0.15
What is conditional probability ?P(B|A) is known as conditional probability and it means the probability of event B that depends on another event A. It is also known as "the probability of B given A".
P(A) = Probability of event A happening.
P(B) = Probability of event B happening.
P(A∩B) = Probability of happening of both A and B.
Calculations ;
P(B|A) = P(A∩B) / P(A)
Thus,
P(A) = P(A∩B) / P(B)
P(A) = 0.15 / 0.6
P(A) = 0.25
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What would most likely happen if a person skipped step 3? the eggs would be undercooked. the eggs would not be blended. the eggs would not be folded. the eggs would stick to the pan.
If a person skips step 3 of blending or whisking the eggs, the eggs are likely to stick to the pan during cooking techniques .
Skipping step 3 in a cooking process can result in the eggs sticking to the pan.
When preparing eggs, step 3 typically involves blending or whisking the eggs. This step is crucial as it helps to incorporate air into the eggs, creating a light and fluffy texture. Additionally, whisking the eggs thoroughly ensures that the yolks and whites are well mixed, resulting in a uniform consistency.
By skipping step 3 and not whisking or blending the eggs, they will not be properly mixed. This can lead to the yolks and whites remaining separated, resulting in an uneven distribution of ingredients. As a consequence, when cooking the eggs, they may stick to the pan due to the clumps of not blended yolks or whites.
Whisking or blending the eggs in step 3 is essential, as it introduces air and creates a homogenous mixture. The incorporation of air adds volume to the eggs, contributing to their light and fluffy texture when cooked. It also aids in the cooking process by allowing heat to distribute more evenly throughout the eggs.
To avoid the eggs sticking to the pan, it is important to follow step 3 and whisk or blend the eggs thoroughly before cooking. This ensures that the eggs are properly mixed, resulting in a smooth consistency and even cooking.
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based on the scatterplot and computer output, a reasonable estimate of mean temperature in kelvin for saturn, which is 886.7 million miles away from the sun is:
Based on the scatterplot and computer output, a reasonable estimate of mean temperature in Kelvin for Saturn, which is 886.7 million miles away from the sun is 4.822 degrees Kelvin.
What is scatterplot?A scatter plot is a particular kind of plot or mathematical diagram that displays values for generally two variables for a collection of data. It uses Cartesian coordinates. A second variable can be shown if the points are coded. A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).
Here,
ý =-0.4536(In 886.7) + 7.9009
=4.822.
The scatterplot and computer output provide a reliable estimate of Saturn's mean temperature in Kelvin, which is 4.822 degrees Kelvin at a distance of 886.7 million miles from the sun.
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PLs help need in 2 minutes
Given the equation y = -3 + 2.5
When x is -1.5, what value of y makes the equation true?
Answer:
y = 7
Step-by-step explanation:
y = -3x + 2.5
y = -3(-1.5) + 2.5
y = 4.4 + 2.5 = 7
Need help finding out what 3x=y and x-2y = 10
Answer:
x=-2, y=-6
Step-by-step explanation:
Simple substitution.
Since y is isolated in one of the equations already, you can plug it into the second equation.
x - 2(3x) = 10
x - 6x = 10
-5x = 10
x = -2
Sub. x = -2 into 3x = y:
3(-2) = y
y = -6