Determine any data values that are missing from the tablo, assuming that the data represent a linear function.
X
y
1
2
10
3
14
2
a. Missing x: 1
Missing y:2
b. Missing x:1
Missing y:5
c. Missing x: 1
Missing y:6
d. Missing x:2
Missing y:5
Answers
Answer:
B.
Step-by-step explanation:
Missing xx:1 Missing y:5
Related Questions
Please Help Me...
Find The a9 to each sequence.
an=-2(-5)n-1
an=6(-3)n-1
an=-7 n-1
These are Geometeic Sequences and It's asking for the a9, which I believe is the 9th term for all of them step by step.
Answers
Answer:
Fore an=-2(-5)n-1
:substitutute 9 in place of "n" in the equation
= -2(-5)9-1
Multiply -2 and -5 to get positive 10
=(10)(9)-1
Multiply 10 and 9 to get 90
=90-1
Subtract 1 from 90
=89 therefore 9th term is 89
Step-by-step explanation:
For
an= 6(-3)n-1
(Follow the above procedure)
=6(-3)9-1
=-18-1
=-19
For
an= -7n-1
(Follow the same procedure as above)
-7(9)-1
=-63-1
=- 64
Graphically, a point is a solution to a system of two inequalities if and only if the point
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.
Answers
Answer:
it is c
Step-by-step explanation:
top is correct
We want to know when a point is a solution to a system of inequalities. We will see that the correct option is "lies in the shaded regions of both the top and bottom inequalities."
Solution of an inequality:A point is a solution to a inequality if and only if it belongs to the shaded region of the graph.
Solution of a system of inequalities:
A point is a solution to a system of inequalities if and only if it is a solution of each independent inequality that conforms the system.
Then, it must belong to all the shaded regions that represent the solution set of the inequalities at the same time, this means that it must belong to the intersection of the shaded regions.
From this, the correct option is:
"lies in the shaded regions of both the top and bottom inequalities."
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Is 1/4 a rational number, integer, whole number, natural, or irrational number? And is -5/2 either aswell?
Answers
Answer:SOMEONE PLZZZ ANSWER THIS I NEED THE ANSWER TO!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?
Answers
Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.99}{2} = 0.005\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.575.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17\)
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
Answers
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Valeria sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.
How much does each wedge of cheese weigh?
Write your answer as a proper fraction or mixed number.
Answers
Answer:
Each wedge of cheese would weigh 0.3125 pounds. Or 5 ounces.
The correct answer is ---- \(\frac{0.3125lb}{5lb}\)
Step-by-step explanation:
You divide 5/16 to get 0.3125 pounds.
Then convert 0.3125lbs to ounces. (5 oz.)
The proper fraction form for this would be \(\frac{0.3125lb}{5lb}\)
(Writing it in a mixed number form would be the same as the proper fraction form.)
Find p(0), p(-1) and p(3) for each of the following polynomials:
(i) P(y) =y
2−y+1
please answer this question!
Answers
For example:
p(0):
=2-y+1
=2-0+1
=1
*remember BEDMAS*
Im sure the rest is self-explanatory
Hope that made sense:)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Translate this sentence into an equation. The product of Mabel's age and 4 is 56. Use the variable m to represent Mabel's age.
Answers
Answer:
4m = 56
Step-by-step explanation:
4 * m = 56
4m = 56
4/4m = 56/4
m = 14
The blue dot is at what value on the number line?
-10
-6
Answers
Answer:
0
Step-by-step explanation:
The scale of the number line is by 2's. You can determine this because the number between -10 and -6 is -8. SO if you continue this pattern of increasing the number by 2, you get -6, -4, -2, then 0.
What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
Answers
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, \(x=x_0+at,y=y_0+bt\) where \((x_0,y_0)\) is the point on the line and \(\frac{b}{a}\) is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let \(\bold{(x_0,y_0)=(1,4)}\)
Using the parametric equation of the line,
\(x=x_0+at\)
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and \(y = y_0+bt\)
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
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The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...?
an = 2 · 3 n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = 3 · 2 n - 1
Answers
Answer:
The formula for the sequence is: \(a_n = 2*(-3)^{n-1}\)
Step-by-step explanation:
The general term of a geometric sequence is given by:
\(a_n = a_1*r^{n-1}\)
In which \(a_1\) is the first term and r is the common ratio between the terms, that is, the division between them.
What is the formula for the sequence 2, -6, 18, -54, ...?
First term is 2, so \(a_1 = 2\)
Common ratio is given by:
\(r = \frac{-6}{2} = \frac{18}{-6} = ... = -3\)
So the sequence is given by:
\(a_n = 2*(-3)^{n-1}\)
Determine the leading coefficient of the polynomial graphed below.
Answers
The leading coefficient of the polynomial is 4.
The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.
The leading term is the term with the highest degree in the polynomial.
For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.
Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.
In this case, the value of y at the vertex is 4.
Therefore, the leading coefficient of the polynomial is 4.
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Christian went shopping for a new phone. Sales tax where he lives is 7%. What
number should he multiply the price of the phone by to find the total plus tax in one
step?
Answers
Answer:
multiply by 1.07
Step-by-step explanation:
the 1 because he needs to pay 100% of the price and .07 because he needs to pay an extra 7% in tax
Tim and Dan were playing football against Jason and Luke.Touchdowns are worth 7 points .Tim and Dad scored 4 touchdowns. Jason and Luck's team scored 9 touchdowns.How many points did Jason and Luke team have than Tim and Dan's team?
Answers
Answer:
35, if Tim and Dan scored 4 together, 7 if each scored 4 touchdowns
How many hours are there in 360 mins
Answers
Answer: 6 hours
Step-by-step explanation:
You have to divide 360 by 60 minutes.
Answer:
There are 360 minutes in 6 hours.
Hope this helps :)
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
Answers
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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Our school has 500 students. Ms. Stevens orders 22
boxes of pencils. Each box has 24 pencils. Will she
have enough pencils to give one to each student?
Answers
Answer:
Yes, and 28 extra.
Step-by-step explanation:
If we know that there are 24 pencils per box, and that she ordered 22 boxes, we can take the equation 24*22 which equals 528.
Answer:
Yes, she will have plenty.
Step-by-step explanation:
If there are 22 boxes, all of which with 24 in them, then she will be just fine. 22 times 24 is 528, meaning there will not only be enough pencils, but there will be some extra.
Since there are 500 students in the school, each student can get a pencil, with 28 extra pencils left.
22x24=528
528-500=28
I hope this helps!
-No one
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answers
Answer:16x16
Step-by-step explanation:
Please help please hurryyyy
Answers
u still doing it or no just txt if ur not
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
5
9
Answers
The word that describes the slope of the line representing the data in the table is "negative."
To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.
Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.
The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.
Therefore, the word that describes the slope of the line representing the data in the table is "negative."
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Use a special right triangle to find the tangent of 45°
Answers
Answer:
In order to find out the tangent value of 45 degrees, we need to divide the opposite side to the angle by the adjacent side. Since both the opposite and adjacent sides of this triangle are the same, we can see that tan(45) is equal to 1.
Step-by-step explanation:
In a special right triangle, the base and the perpendicular are the same. Then the tangent of 45° is one.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
We know that in a special right-angle triangle, both acute angles are equal to each other that is 45 degrees.
If the angles are equal then their opposites sides are also equal.
And if two sides are equal to a triangle then the right triangle is an isosceles right triangle.
In an isosceles right triangle, the perpendicular and the base are equal.
P = B
Then the tangent of 45° will be given as
\(\rm tan 45^o = 1\)
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Calen correctly wrote the equation y-3=1/5(x-10) to represent a line that Mrs. Adams sketched. Mrs. Adams then changed the line so that it had a slope of 2, but still went through the same point. Which equation should Calen write to represent the new line? Group of answer choices
Answers
Y=2x+b
3=2(10)+b
3=20+b
b=17
Y=2x+17
This in forms of slop and passing point
Y-y1=m(x-x1)
Find three rational numbers between 2 and 3
Answers
2.5: This rational number is obtained by taking the average of 2.25 and 2.75. It lies closer to 3 than to 2.
2.75: This rational number is obtained by taking the average of 2.5 and 3. It lies closer to 3 than to 2.
Answer:
Step-by-step explanation:
\(\frac{15}{7} or \frac{26}{9}\)
A
(2x + 7)°
в
(4x-10)
(7x-25)°
C
m/
Answers
Answer:
ima need a complete question
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
if it's diameter is 19, then its radius must be half that, or 9.5.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3\)
which graph represents the parabola with the equation y^2=-1/3x
Answers
Step-by-step explanation:
The graphs are not give but the graph looks like the above picture.
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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Help with number 50 please. Thanks.
Answers
Answer:
\( d = 7 + 3\sqrt{3} \) and
\( d = 7 - 3\sqrt{3} \)
Step-by-step explanation:
To solve the equation, \( d^2 - 14d - 22 = 0 \), using the quadratic formula,
Recall: quadratic formula = \( \frac{-b ± \sqrt{b^2 - 4ac}}{2a} \)
Where,
a = 1
b = -14
c = 22
Plug in your values into the formula and solve:
\( \frac{-(-14) ± \sqrt{(-14)^2 - 4(1)(22)}}{2(1)} \)
\( \frac{14 ± \sqrt{196 - 88}}{2} \)
\( \frac{14 ± \sqrt{108}}{2} \)
\( d = \frac{14 + \sqrt{108}}{2} \)
\( d = \frac{14 + 6\sqrt{3}}{2} \)
\( d = (\frac{2(7 + 3\sqrt{3})}{2} \)
\( d = 7 + 3\sqrt{3} \)
And
\( d = \frac{14 - \sqrt{108}}{2} \)
\( d = \frac{14 - 6\sqrt{3}}{2} \)
\( d = (\frac{2(7 - 3\sqrt{3})}{2} \)
\( d = 7 - 3\sqrt{3} \)