Answers
The slope of the table is 3.
In this question, we have been given a table.
We need to find the slope of the table.
For aby two points (x1, y1) and (x2, y2), we use the formula of slope,
m = (y2 - y1) / (x2 - x1)
m1 = (15 - 30) / (-5 - 0)
m1 = (-15) / (-5)
m1 = 3
For a pair of points (-5, 15) and (10, 60)
m2 = (60 - 15) / (10 + 5)
m2 = 45 / 15
m2 = 3
For a pair of points (10, 60) and (5, 45)
m3 = (45 - 60) / (5 - 10)
m3 = -15 / -5
m3 = 3
Therefore, the slope of the table is 3.
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Related Questions
95 = e + 36 what’s the answer
Answers
Answer: e = 59
Step-by-step explanation:
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram. Chocolate: 5 Oatmeal: 3How many oatmeal cookies were at the party? Oatmeal cookies
Answers
Given:
Total number of cookies = 40 cookies
Ratio of chocolate to oatmeal = 5:3
To find the number of oatmeal cookies, first sum up the ratio.
Total sum of ratio = 5 + 3 = 8
Number of oatmeal cookies will be:
[tex]\frac{ratio\text{ of oatmeal}}{\text{total ratio}}\text{ }\ast\text{ total number of cookies}[/tex][tex]\frac{3}{8\text{ }}\text{ }\ast\text{ 40 = 15}[/tex]Therefore, total number of oatmeal cookies = 15
State if the two triangles are congruent. If they are, state the congruence property. If they are not congruent, you do not need to write in the property. 10.Congruent? ___________ If so, what property? ________11.Congruent? ___________ If so, what property? ________
Answers
Answer:
The image for number 10 is shown below as
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
FH is tangent to circle E at point F.
What is the measure of ZEFH?
80°
90°
160°
• 180°
Answers
Answer:
90°
Step-by-step explanation:
the angle between a tangent and the radius at the point of contact on the circle is a right angle, then
∠ EFH = 90°
Is 631,992 divisible by 6?
Answers
Answer:yes
Step-by-step explanation:
105332
but you can't anymore after that
Answer:
yes it is divisible by 6.
Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
Answers
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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Find the slope of the line through each pair of points (2,1),(6,6)
Answers
The slope of the line passing through the points (2, 1) and (6, 6) will be;
⇒ m = 5 / 4
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) is;
⇒ y - y₁ = m (x - x₁).
Given that;
The points on the line are (2, 1) and (6, 6).
Now,
Since, The slope of the line passing through the two points (x₁, y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, The slope of the line passing through the points (2, 1) and (6, 6) will be calculated as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (6 - 1) / (6 - 2)
⇒ m = 5 / 4
Therefore, The slope of the line passing through the points (2, 1) and
(6, 6) will be;
⇒ m = 5 / 4
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The math club budgeted $700 for their pancake breakfast. Each meal costs $2.75 to prepare. They also need to rent a place to have this event. The renting place fee is $25. Write an inequality that represents the number of meals that can be prepared without going over the budget. How many maximum meals can they prepare?
Answers
Answer:
2.75x + 25 ≤ 700
Step-by-step explanation:
A pizza can be shared by (y + 3) friends. If there are (y2 + 6y + 9) pizzas, which expression represents each friend’s share?and 2 + 6 and + 9y + 3y - 3(y + 3)(y - 3)
Answers
In order to find each friend's share, we need to divide the total amount of pizza by the number of friends.
The total pizza is y² + 6y + 9, and the number of friends is y + 3, so we have:
[tex]\frac{y^2+6y+9}{y+3}=\frac{(y+3)^2}{y+3}=y+3[/tex]Therefore the correct option is the second one: y + 3.
determine the number of solutions for:
10x-2y=-16
-5x=8-y
hurry
Answers
The equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
10x - 2y = -16
-5x = 8 - y
Or
-5x + y = 8
10/(-5) = -2/1 = -16/8
-2 = -2 = -2
The equations are the same which means the lines are coincident.
There will be infinitely many solutions.
Thus, the equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
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A mixture of juices in a punch had 1.1 L of pineapple juice for every 0.4 L of orange juice. Sarah wanted the punch to taste more orangey, so she added 0.3 L of orange juice but no pineapple juice. Now the ratio of juices was 1.1 L of pineapple juice for every 0.5 L of orange juice. How many litres of punch did Sarah have now
Answers
The litres of punch with Sarah is 4.8 L.
The mixture of juices in the punch had 1.1 L of pineapple juice for every 0.4 L of orange juice.
The ratio of the amount of pineapple juice to the orange juice is 1.1:0.4.
The initial amount of pineapple juice is 1.1x.
The initial amount of orange juice is 0.4x.
The amount of orange juice added to the punch is 0.3 L.
The new ratio of the amount of pineapple juice to the orange juice is 1.1:0.5.
The final amount of pineapple juice is 1.1x.
The final amount of orange juice is 0.4x + 0.3.
(1.1x)/(0.4x + 0.3) = 1.1/0.5
0.5x = 0.4x + 0.3
0.1x = 0.3
x = 3
The amount of punch Sarah has now is the total amount of pineapple and orange juice.
The amount of punch is given below :
A = 1.1x + (0.4x + 0.3)
A = 1.5x + 0.3
A = 1.5(3) + 0.3
A = 4.5 + 0.3
A = 4.8
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Determine whether each function is linear or nonlinear. y-t=n 12 11 13x+
Answers
The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
What is linear equation?A first-degree polynomial is a statement that a constant is equal to a first-degree polynomial, or the sum of a group of terms that are each the product of a constant and the first power of a variable.
The formula for a linear equation with n variables is a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant.
When there are multiple variables, the equation might be linear for some of the variables but not for others. The equation x + y = 3 is therefore linear in both x and y, as opposed to x + y2 = 0, which is linear in x but not in y.
We have been asked to find if the equation y-t = n(12 - 11 + 13x) is linear or nonlinear.
W know that a equation is linear if its in the y-intercept form
y = mx + b
Lets simplify the equation and we get
y-t = n(12 - 11 + 13x)
y - t = 12n - 11n + 13nx
y = n + 13nx + t
y = 13nx + (t + n)
This equation is in y-intercept form where
y = y
m = 13n
x = x
b = (t + n)
Thus, The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
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the student council to break even?
#. Justin and his sister Jayme are candying apples for their class parties. Justin has candied 15 apples
and is finishing them at a rate of 4 apples per hour Jayme has 10 apples candied and is finishing them
at a rate of 5 apples per hour. Once the siblings get to the point where they have candied the same
amount of apples they will stop for the day. How long will that take? How many candied apples will
they have altogether?
Answers
Answer:
Step-by-step explanation:
5 hours, 70 apples all together
Graph y= –3x+4 please and thank you
Answers
Answer:
Step-by-step explanation:
Hope this helps sorry if I'm not right
need this asap 50 points if its correct + brainiest
Answers
Very easy 7th grade math please answer both questions 60 points!!!!
Answers
Answer:28. gcf is 5 29 2n-12
Step-by-step explanation:
to go to sleep, oliver counted by $6$s starting from $15$. thus the first few numbers he named were $$15,21,27,33,\ldots~.$$the last number he named before he fell asleep was $363$. how many numbers did oliver name?
Answers
The numbers that Oliver named are 59 in total.
If he named 1 number, the last number that he called would be 15
If he named 2 numbers, still the last number that he called would be 15 + 6 = 21
If he named 3 numbers, the last number that he called would be 15 + 6 + 6 = 27
If he named 4 numbers, the last number that he called would be 15 + 6 + 6 + 6 which is 15 + 6(4 - 1)
So, if he named n numbers, the last number that he named would be 15 + 6(n - 1)
According to the data given in the question, the last number he called was 363.
So, we can say,
363 = 15 + 6(n - 1), Subtract 15 on both sides.
348 = 6(n - 1), Divide both sides with 6.
58 = n - 1, now, Add 1 to both sides,
we get.,
59 = n
Hence, Oliver has named 59 numbers.
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Answer:
59
Step-by-step explanation:
If we subtract 9 from each number Oliver named, we get the new list6, 12, 18, 24, ..., 354,which consists of the multiples of 6 from 1 ∙ 6 through 59 ∙ 6. There are clearly 59 of these, so Oliver named 59 numbers (namely: 1 ∙ 6 + 9, 2 ∙ 6 + 9, 3 ∙ 6 + 9, and so on through 59 ∙ 6 + 9).
HELP PLS ASAP
Queen Celeste was born in 1015 BC and died at the age of 48. Emperor Romanus died in 212 BC at the age of 54. For how many years were they both alive at the same time?
Answers
Answer:
None - 1063 BC and 266 BC is way too much of a gap
Step-by-step explanation:
None - 1063 BC and 266 BC is way too much of a gap
9) Simplify and name the resulting expressions according to the number of terms:
(Monomial, Binomial, Trinomial, Polynomial)
a) 2a-5a²-7a+ 9-3a²+ 10+8a³-13 + 7a
Answers
The given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.
What is polynomial expression?
In mathematics, the polynomial expression based on the degree of the equation. It is classified as monomial or binomial depending upon the highest power of the variable in the quadratic equation.
According to the question, the given polynomial expression for the simplification is as follows:
Expression: 2a-5a²-7a+ 9-3a²+ 10+8a³-13 + 7a
Rearranging the terms to check the polynomial degree of the equation:
Expression: 8a³-3a² -5a² +2a - 7a + 7a + 9 + 10 -13
Expression: 8a³-8a² +2a + 6
Hence, the given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.
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Write 4 1 /9 as an improper fraction.
Answers
Answer: 37/9
Step-by-step explanation:
1. Multiply the whole number by the denominator
4 × 9 = 36
2. Add the product from Step 1 to the numerator
36 + 1 = 37
3. Write answer from Step 2 over the denominator
37/9
Answer:
[tex]\frac{37}{9}[/tex]
Step-by-step explanation:
Improper fractions are fractions in which the numerator is greater than the denominator. To convert a mixed number to an improper fraction you multiply the whole number by the denominator.
So once you do that you will have [tex]\frac{36}{9}[/tex].
However, this isn't complete just yet. You now need to add the numerator you had before, this can be written as [tex]\frac{36}{9} + \frac{1}{9}[/tex].
Now you just solve and you'll end up with [tex]\frac{37}{9}[/tex].
Jacob has golf scores of 120,112,130,128, and 124. he wants to have a mean, or average, golf score of 118. what score does he need in his next golf game to achieve this mean score?
Answers
Jacob needs a score of 94 in his next game to get the average or mean to be 118.
In the descriptive statistics, the mean may be confused with the median, mode, or midway since any of these might be referred to as a "average" (more formally, a measure of central tendency).
Although for skewed distributions, the mean may not be the same as the median or the value that is most likely to occur, the arithmetic mean of a collection of observations is the sum of the values (mode).Sometimes a batch of numbers will contain outliers. Outliers are frequently erroneous data that is caused by artefacts. In this case, a shorter mean can be used. After deleting specific amounts of data from either the top or bottom end, often an equal amount at either end, the process entails calculating the arithmetic average of the remaining data. The amount of values that were deleted is expressed as a percentage of the total number of values.Total score = 120 + 112 + 130 + 128 + 124 = 614
Let he scores x in his last game.
Therefore mean = (614 + x ) ÷ 6 = 118
Solving we get : x = 94.
Hence he will need top score 94 in his next game to get an average of 118 in the golf game.
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use the properties of logarithms to expand the following expression as much as possible.
Answers
1. Factor the expression in parenthesis:
[tex]\begin{gathered} 2x^2+8x+8 \\ \\ =2(x^2+4x+4) \\ =2(x+2)\placeholder{⬚}^2 \end{gathered}[/tex]2. Rewrite the expression using the factors above:
[tex]\log_2(2(x+2)\placeholder{⬚}^2)[/tex]3. Use the next properties to expand the expression:
[tex]\begin{gathered} \log_a(x*y)=\log_ax+\log_ay \\ \log_aa=\frac{\log_a}{\log_a}=1 \\ \log_a(b^c)=c*\log_ab \end{gathered}[/tex][tex]\begin{gathered} \log_2(2(x+2)\placeholder{⬚}^2) \\ =\log_22+\log_2((x+2)\placeholder{⬚}^2) \\ =1+2\log_2(x+2) \end{gathered}[/tex]Then, the given expression is equal to:[tex]\log_2(2x^2+8x+8)=1+2\log_2(x+2)[/tex]Here are the first 4 terms in the sequences
3,9,15,21
next term=27
explain how you got the answer
Answers
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.
In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.
What is the arithmetic progression formula?
a {n}=a {1}+(n-1) The nth term in the series is d a n.
The first term in the sequence is a 1.
d is the common distinction between the terms.
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Given the inequality 6x ≤ 18, determine the value of x.
S:{26}
S:{14}
S:{7}
S:{3}
Answers
To find the answer divide 6 by 6 and 18 by 6
The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.
The correct answer is S:3.
To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.
Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.
Here is the solution in steps:
6x ≤ 18
6x/6 ≤ 18/6 (divide both sides by 6)
x ≤ 3
Therefore, the value of x is 3.
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Consider the probability that at least 35 out of 313 students will not pass their college placement exams.Choose the best description of the area under the normal curve that would be used to approximate binomial probability.a ) area to the right of 34.5b) area to the right of 35.5c) area to the left of 34.5d) area to the right of 35.5e) area between 34.5 and 35.5
Answers
Answer:
Explanation:
Use inverse trigonometric functions to solve the following equations. If there is more than one solution, enter all solutions as a comma-separated list (like "1, 3"). If an equation has no solutions, enter "DNE".Solve 7tan(θ)=−15 for θ (where 0≤θ<2π).θ=
Answers
ANSWER:
[tex]\theta=-1.13416,2.00743[/tex]STEP-BY-STEP EXPLANATION:
We have the following function
[tex]\begin{gathered} 7\cdot\tan (\theta)=-15 \\ 0\leq\theta<2\pi \end{gathered}[/tex]Solving for θ:
[tex]\begin{gathered} 7\cdot\tan (\theta)=-15 \\ \tan (\theta)=-\frac{15}{7} \\ \tan (\theta)=-\frac{15}{7} \\ \theta=\arctan (-\frac{15}{7}) \\ \theta_1=-1.13416 \\ \theta_2=2.00743 \end{gathered}[/tex]STRUCTURE Point C lies on AB, where A(-4,-2) and B(5, 2). The distance from A to C is
one-fourth of the distance from C to B. What are the coordinates of C ?
Coordinates: CD
Answers
The coordinates of point C are (-2.2,-1.2) which are calculated by using the given condition AC = 1/4(CB).
What exactly are coordinates?The horizontal and vertical distances from the two reference axes are used to describe the position of a point on a coordinate plane. The x-value and y-value are typically represented by (x,y).Given that point C is located between points A and B and that the distance between points A and C is one-fourth of the distance between points C and B.
We need to find the co-ordinate of the point C.
Let (x,y) be the co-ordinates of point C.
For x coordinate,
AC = 1/4(CB)
-4-x = 1/4(x-5)
x+ 0.25x = -2.75
x = -2.2
For y coordinate,
AC = 1/4(CB)
-2 - y = 1/4(y - 2)
-2= 1.25 y -0.5
1.25y = -1.5
y = -1.2
Therefore, the coordinates of point C are ( -2.2,-1.2) which are calculated by the given condition AC = 1/4(CB).
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WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZYX has a measure of 34 degrees. Find the measure of angle ZWY.
Answers
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = 4 \end{cases}\implies S=180(4-2)\implies S=360[/tex]
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Kendra is buying new shoes that normally cost 78.95. She has a coupon to save 35%.. What is the sale price?
Please help me with this!
Answers
The sale price for Kendra's purchase is 51.3175 dollars.
How to find the sale price of a purchase?Kendra is buying new shoes that normally cost 78.95 dollars.
She has a coupon to save 35%.
Therefore, let's calculate the sale price of her purchase.
A sale price is the discounted price at which goods or services are being sold.
The sale price is the price after the original price has been reduced by a discount.
Therefore,
sale price = 78.95 - 35% of 78.95
sale price = 78.95 - 35 / 100 × 78.95
sale price = 78.95 - 2763.25 / 100
sale price = 78.95 - 27.6325
Therefore,
sale price = 51.3175 dollars
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Determine the area of the shaded region of the figure. 5 cm 9 cm 12 cm 6 cm 4 cm
