Answer:
y = - 3
Step-by-step explanation:
Call the line y = a + bx (d)
Since d go through (-7;-3) so -7 = a - 3b (1)
Since d go through (8;-3) so 8 = a - 3b (2)
From (1) and (2), we have equations: [tex]\left \{ {{a - 3b = -7} \atop {a - 3b = 8}} \right.[/tex]
Solve the equations, we have [tex]\left \{ {{a = 0} \atop {b = -3}} \right.[/tex]
someone please help me with this
Answer:
[tex]area = 4 \times ( \frac{1}{2} \times base \times height) \\ =2 \times ( \frac{1}{2} \times 16.3 \times 42.7) + 2 \times ( \frac{1}{2} \times 16.3 \times 22.5) \\ = 696.01 + 366.75 \\ = 1062.76 \\ = 1063[/tex]
Over the closed interval [3,8] for which function can the extreme value theorem be applied?
Answer:
A
Step-by-step explanation:
The extreme value theorem can be applied on an interval if the function is continuous in the entire interval. Testing the continuity for each function, we get that the correct option is the third option.
Continuity:
A function f is continuous at an interval if all points in the interval are in the domain of the function, and, for each point of [tex]x^{\ast}[/tex], the limit exists and:
[tex]\lim_{x \rightarrow x^{\ast}} = f(x^{\ast})[/tex]
First function:
At [tex]x = 4[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.
Second function:
At [tex]x = 5[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.
Third function:
The only point there can be a discontinuity is at [tex]x = 4[/tex], where the definition of the function changes. First we have to find the lateral limits, and if they are equal, the limits exist:
To the left(-), it is less than 4, so we take the definition for x < 4.
To the right(+), it is more than 4, so we take the definition for x >= 4.
[tex]\lim_{x \rightarrow 4^{-}} h(x) = \lim_{x \rightarrow 4} \frac{9x}{10-x} = \frac{9*4}{10-4} = \frac{36}{6} = 6[/tex]
[tex]\lim_{x \rightarrow 4^{+}} h(x) = \lim_{x \rightarrow 4} x + 2 = 4 + 2 = 6[/tex]
The lateral limits are equal, so the limit exists, and it's value is 6.
The definition at [tex]x = 4[/tex] is [tex]h(x) = x + 2[/tex], so [tex]h(4) = 4 + 2 = 6[/tex].
Since [tex]\lim_{x \rightarrow 4} = h(4)[/tex], the function is continuous over the entire interval, and this is the correct answer.
Fourth function:
There can be a discontinuity at [tex]x = 5[/tex], so we test the limits:
[tex]\lim_{x \rightarrow 5^{-}} h(x) = \lim_{x \rightarrow 5} -x = -5[/tex]
[tex]\lim_{x \rightarrow 5^{+}} h(x) = \lim_{x \rightarrow 5} x^2 - 20 = 5^2 - 20 = 25 - 20 = 5[/tex]
Different limits, so the limit does not exist and the function is not continuous at [tex]x = 5[/tex], and the extreme value theorem cannot be applied.
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Please help! Thanks :DD
Answer:
A. 58 square cm
Step-by-step explanation:
From the composite figure,
A1 = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 2 x 3
= 3 [tex]cm^{2}[/tex]
A2 = length x width
= 8 x 2
= 16 [tex]cm^{2}[/tex]
A3 = [tex]\frac{1}{2}[/tex] (a + b) h + [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] (10 + 12) 3 + [tex]\frac{1}{2}[/tex] x 2 x 3
= [tex]\frac{1}{2}[/tex] (22) 3 + 3
= 11 x 3 + 3
A3 = 33 + 3
= 36 [tex]cm^{2}[/tex]
Total area = A1 + A2 + A3
= 3 + 16 + 36
= 58 [tex]cm^{2}[/tex]
Piper is mixing sparkling water and juice. She has 12 liters of sparkling water and 3 liters of juice.
How much sparkling water is there for each liter of juice?
Answer:
4/3
Step-by-step explanation:
Answer:
12L/3L
4: 1
four litre of sparkling water for 1 liter juice
How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16 cm, the iron being 2 cm thick throughout? If 1 cubic cm of iron weighs 15 g. find the weight of the open box in kg
(b) If the radius of wheel is 7cm, how far it travels in three rotation
The wheel will travel 131.8cm in 3 rotations.
The radius of the wheel, r = 7cm
Number of rotations, n= 3
distance covered in 1 rotation= circumference of circle=2πr
distance covered in 3 rotation= 2πr x 3
where π=3.14(fixed)
=2 x 3.14 x 7 x 3
Distance=131.88cm
Therefore, the distance covered in 3 rotations is 131.88cm
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Answer:
132cm
Step-by-step explanation:
use formula 22/7 *diameter which is 7*2 getting the answer as 44.For three rotations multiply the answer by three
What are 3 horizontal lines?
The 3 horizontal line refers the equivalent relation.
The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.
Here have to find the meaning of 3 horizontal line.
As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.
Here the equivalent that is not the same as 'equals'
Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.
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Please help I beg of you
Will mark brainlist
In the figure below ∠B=63∘. What is the measure of arc DB in degrees? (4 points) 27 126 54 63
Answer:
54
Step-by-step explanation:
63 x 2 = 126
180 - 126 = 54
What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
Answer:
x > [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Given
- 2 (8x - 4) < 2x + 5 ← distribute left side
- 16x + 8 < 2x + 5 ( subtract 2x from both sides )
- 18x + 8 < 5 ( subtract 8 from both sides )
- 18x < - 3
Divide both sides by - 18, reversing the symbol as a result of dividing by a negative quantity.
x > [tex]\frac{-3}{-18}[/tex] , that is
x > [tex]\frac{1}{6}[/tex]
PLEASE I NEED HELP ASAPPPP!!!!!
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October
Part A: Using computer software, a correlation coefficient of r = 0. 51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)
A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.
What is a Scatter Plot?A scatter plot with a trendline along which the data points are situated can be used to demonstrate the relationship between correlated variables.
Indicating a positive correlation is when the trendline slopes higher from left to right, while the opposite is true.
Part A:
The correlation coefficient of r = 0.51 is valid based on the provided scatter plot.
Part B:
The amount of fertilizer applied in connection to the kilograms of pumpkins harvested on the farm can be a scenario where a causal relationship exists.
Hence, A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.
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12 POINTS!!!
Write the equation of the exponential function (y=ab^x) through the point (2,36) and (5,972).
Answer:
Step-by-step explanation:
look at the screenshot, please. (no links)
Answer: 14
Step-by-step explanation: 18 x 14 = 252
Answer:
14
Step-by-step explanation:
recall that area of figure, A= length x. breadth
and A=252
and b=18
therefore, 252= 18b
l= 252/18
l= 14
therefore p= 14
A lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for 24. 00 each and slices of cheesecake for 3. 50 each. If they want to raise at least 700 how many of each could they sell
the total of 29 cheesecake and 2 slices of cheesecake will be making $703.
What is the arithmetic operation?
The four basic arithmetic operations are addition, subtraction, multiplication, and division of two or more quantities. They all fall under the umbrella of mathematics, and among them is the study of numbers, particularly the order of operations, which is crucial for all other branches of the subject, such as algebra, data organisation, and geometry. To solve the problem, you must be familiar with the fundamentals of mathematical operations.
A lacrosse team is raising money by selling cheesecakes.
The players plan to sell an entire cheesecake for 24. 00 each and slices of cheesecake for 3. 50 each.
A multiplier of 24 close to 700 is 29
So 29 cheesecake will cost 696.
Now they need more 4 dollars to raise so they have to sell 2 slices, which will be 7$.
So the total of 29 cheesecakes and 2 slices of cheesecake will be making $703.
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A marketing research company desires to know the mean consumption of meat per week among males over age 50. They believe that the meat consumption has a
mean of 3.5 pounds, and want to construct a 95 % confidence interval with a maximum error of 0.08 pounds. Assuming a standard deviation of 0.6 pounds, what is
the minimum number of males over age 50 they must include in their sample? Round your answer up to the next integer.
Answer:
we get a required sample size of 122.
Step-by-step explanation:
We can use the following formula to calculate the required sample size:
n = (Z * sigma / e)^2
where:
n is the required sample size
Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)
sigma is the standard deviation of the population
e is the maximum error allowed
Plugging in the given values, we get:
n = (1.96 * 0.6 / 0.08)^2 = 121.6
Rounding up to the next integer, we get a required sample size of 122.
i need help with this question?
Answer:
4.5π[tex]cm^2[/tex] will be your answer!
Step-by-step explanation:
Oki... So the area of a circle is radius x radius x π
So.....
Lemme find what the radius's are
4.5 ÷ 2 = 2.25
2.25 - 1.5 = 0.75
2.25 x 2.25 x π = 5.0625π
0.75 x 0.75 x π = 0.5625π
And subtract.
5.0625π - 0.5625π = 4.5π
What is the value of p so that the line passing through (6, 2) and (10, p) has a slope
of -2?
Answer:
P = -6
Step-by-step explanation:
y2-y1 / x2-x1 = slope formula
p-2/10-6 =
p-2 over 4
P would be -6 since -6-2 = -8, and -8/4 = -2
for each mentor artist, write an equation and a graph showing the proportional relationship between the art sold and your total commission.
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
x represents the number of pieces of art sold
y represents the total commission
K represents the commission per piece of art
The equations of the commissions are
Sara: y = 15xRavi: y = 500xHow to determine the equations and the graphFrom the question, we have the following parameters that can be used in our computation:
Sara's pieces of art sell for $25 and commission is 60%Ravi's pieces of art sell for $2000 and commission is 25%Also from the question, we have:
x represents the number of pieces of art soldy represents the total commissionThis means that:
Commission = Unit rate * Commission proportion * Number of pieces
Using the above as a guide, we have the following:
Sara: y = 25 * 60% * x
Ravi: y = 2000 * 25% * x
Evaluate
Sara: y = 15x
Ravi: y = 500x
See attachment for the graph of the commission equations
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What are the factors of 2x^2 7x 3?
The factors of 2[tex]x^{2}[/tex] + 7x + 3 are ( x + 3) and (2x + 1)
Now, According to the question:
The given function is :
f(x) = [tex]2x^2+7x+3[/tex]
To find the factors of [tex]2x^2+7x+3[/tex] we need to split the middle term, that is, 7x.
7x = 6x + x
Therefore, 2[tex]x^{2}[/tex] + 7x+ 3 can be written as 2[tex]x^{2}[/tex] + 6x + x + 3 .
On taking '2x' common from first two terms and +1 from next two terms we get
2x (x + 3) +1 (x + 3)
(x + 3) (2x + 1)
Thus, the factors of 2x2 + 7x + 3 are (x+3) and (2x+1)
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The complete question is this:
What are the factors of 2x^2+7x +3?
3. How many groups 1/2 of days are in 1 week?
groups
What does a 30 60 90 triangle look like?
The 30-60-90 triangle is shaped like half of an equilateral triangle.
A special right triangle with angles 30°, 60°, and 90° is called a 30-60-90 triangle. Since 30° is the smallest angle in the triangle, the side opposite to the 30° angle is always the smallest.
The side opposite to the 60° angle is the longer leg, and finally, the side opposite to the 90° angle is the largest side of the right triangle, also known as the hypotenuse.
30°-60°-90° Triangle Rule:
In a 30-60-90 triangle, we can find the measure of any of the three sides by knowing the measure of at least one side in the triangle. This is known as the 30-60-90 triangle rule.
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PLEASE HELP, i was supposed to be done with this class awhile ago and ive been stuck on this problem and now i have a lot of work to be completed in 5 days, so please it would mean so much to me if someone, anyone could help me!!
Answer:
Hopefully this makes sense. All you're doing is inputting your X VALUES (or your inputs) and using those numbers to find our what your Y VALUES (or your outputs) are
x: -2 -1 0 1 2 3
y: 49 7 1 [tex]\frac{1}{7}[/tex] [tex]\frac{1}{49}[/tex] [tex]\frac{1}{343}[/tex]
Bought a board game for $30. The board game is now worth $55. Calculate the percent change in the game's value.
Write the word sentence as an equation. Then solve the equation.
9 is the difference of a number n and 7.
An equation that represents this word sentence is
The solution is n =
Answer:
see below
Step-by-step explanation:
9 is the difference of a number n and 7.
Let's break this down.
"is" represents the equal sign.
"the difference" represents subtraction.
9 = n - 7
Now let's solve the equation.
9 = n - 7
Add 7 to both sides.
16 = n
Hope this helps!
In Ellen's math class, there were 2 boys to every 3 girls. Which of the following could be the ratio of girls to boys in the class? As a fraction
Answer:
A . 17/21
B . 14/21
C . 7/14
D. 11/17
Step-by-step explanation:
Answer:
Answer is B: 14 to 21
Step-by-step explanation:
The ratio "2 to 3" was multiplied by 7 to get this ratio. All the other following are incorrect.
HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!
Answer:
C 2003 and 2004
Step-by-step explanation:
Looking at the graph, you can see that the greatest incline occurs between 2002 to 2003 then 2003 to 2004.This means that the prices grew the most in 2003 and 2004
Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?
Answer:
There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.
the ratio of dogs to cats is 1 dog to 2 cats. which of the following is a way to write this ratio? please help me!!
resuelve la siguiente operacion +1 + (-1)=
Answer:
0
Step-by-step explanation:
+ 1 + (-1)
1 + (-1)
1 - 1
a) Write down the mathematical name of this shape.
what is the shape called
Answer:
What shape? i don't see no shape
Answer:
What shape? Can you add in a picture or something? That would be very helpful in trying to figure out what shape we're dealing with.