The value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Why use the vertex form?In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.
In the equation we are given the value of y as: 1
[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Therefore, we can say that the value of the given polynomial is: 8
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Complete question is: Find 6y2 + 3y - 1 4 for y = 1
D varies as R and S, and inversely as t. D=12, R=3, S=20, and t=5, find D when R=15, S=4 and t=8.
Given:
D varies as R and S, and inversely as t.
D=12, R=3, S=20, and t=5
To find:
The value of D when R=15, S=4 and t=8.
Solution:
It is given that D varies as R and S, and inversely as t. So,
[tex]D\propto \dfrac{RS}{t}[/tex]
[tex]D=\dfrac{kRS}{t}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, D=12, R=3, S=20, and t=5. Substituting these values in (i), we get
[tex]12=\dfrac{k(3)(20)}{5}[/tex]
[tex]12=12k[/tex]
[tex]\dfrac{12}{12}=k[/tex]
[tex]1=k[/tex]
Substituting [tex]k=1[/tex] in (i), we get the required equation.
[tex]D=\dfrac{(1)RS}{t}[/tex]
[tex]D=\dfrac{RS}{t}[/tex]
We need to find D when R=15, S=4 and t=8. Substituting R=15, S=4 and t=8 in the above equation, we get
[tex]D=\dfrac{(15)(4)}{8}[/tex]
[tex]D=\dfrac{60}{8}[/tex]
[tex]D=7.5[/tex]
Therefore, the required value of D is 7.5.
Calculating the median
The following data points represent the number of attendees at each of the private dance events hosted by
Fenel Arrangements.
Sort the data from least to greatest.
49
48
33
51
38
47
42 34
Find the median number of attendees.
attendees
Repon a problems
Stuck? Watch a video or use a hint.
Answer:
Okay so!
Step-by-step explanation:
33, 34, 38, 42, 47, 47, 48, 49, 51.
The median is 47 because it turns up twice.
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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In the figure, d || m. What is the value of x?
I WILL MARK BRAINLIEST!!
|
———— | ————
(2x - 20°)|
| 86°
———— | ———-
|
Answer: 53
Step-by-step explanation:
2x-20=86 [alternate interior angles theorem]2x=106 [add 20 to both sides]x = 53 [divide both sides by 2]A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution. What is the probability that he will wait longer than 6 minutes? Give your answer to two decimal places.
Answer:
0.76 = 76% probability that he will wait longer than 6 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.
This means that [tex]a = 0, b = 25[/tex]
What is the probability that he will wait longer than 6 minutes?
[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]
0.76 = 76% probability that he will wait longer than 6 minutes
2 copies of 1/10 write fraction for each statement
2 copies of 1/10 can be written as 2/10
What is a fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here 2 copies of 1/10 thus 2×1/10=2/10
=1/5
Hence, 2 copies of 1/10 can be written as 2/10
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You have a 1/3 -teaspoon measuring spoon and a 1/2-teaspoon measuring spoon. What are two ways you can measure 3 1/6 teaspoons of salt?
Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons
and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
3 1/2 + 2/3 = 3 1/6
Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons
3 + 2/3 = 3 1/6
So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.
Step-by-step explanation:
What are the exact values of a and b?
CORRECT ANSWER
WITH EXPLANATION
Step-by-step explanation:
TRY WITH SOME Trigonometric FUNCTION.
IF SOMETHING IS Wrong . I AM STILL A STUDENT
Using elimination, what is the solution to the following system?
x+y=4
x-y=8
Answer:
x=6, y=-2. (6, -2).
Step-by-step explanation:
x+y=4
x-y=8
----------
2x=12
x=12/2
x=6
6+y=4
y=4-6
y=-2
draw the graph y = 2x + 1
Answer:
are there any other information
Solve the following quadratic equation for all values of xx in simplest form.
4(x^2-5)-1=
4(x
2
−5)−1=
\,\,3
3
The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6
How to determine the solutions to the equation?From the question, we have the following parameters that can be used in our computation:
4(x 2−5)−1=3
Express properly
This gives
4(x² − 5) − 1 = 3
Subtract -1 from both sides of the equation
So, we have the following representation
4(x² − 5) = 4
Divide both sides by 4
This gives
x² − 5 = 1
Subtract -5 from both sides of the equation
So, we have the following representation
x² = 6
Take the square root of both sides
x = ±√6
Hence, the solution is ±√6
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Help me please 35 points on the line
Answer shown in bold
401924109147The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.
========================================================
Explanations:
Add up all of the values in the Venn diagram to find the total. Therefore, 9+10+14+7 = 40 students were surveyed.We add the values in the "social interaction activities" circle only. There are 9+10 = 19 students here.This time add up the values in the "technology driven activities" to get 10+14 = 24 students.The answer is 10 because this value is in the overlapped region between the two circles. The answer is 9 since this value is in the "social interaction activities" circle, but outside the other circle. The answer is 14 as this value is in the "technology driven activities" circle, but outside the other circle.The answer is 7 because this value is outside both circles.Let me know if you have any questions.
The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.
What is the value of c in the equation below?
24.22=abc
0 -4
0 -2
O
1
64
O
1
4
Answer:
are the values of a or b given?
Step-by-step explanation:
Jeffrey left 4/7 of his estate to his wife and 1/4 of the remainder to his granddaughter.The part of his estate that is not accountefor .given as a fraction is?
PLEASE ANSWER
Write an equation in point-slope form passing through the given point and parallel to the given line:
(- 4, 4)
y = - 7/4x + 2
Answer:
y-4=-7/4(x+4)
Step-by-step explanation:
Point Slope Form: y-y*sub*1=m(x-x*sub*1)
Parallel lines have the same slope as the line to which they are parallel.
y-4=-7/4(x+4)
Hope this helps :)
Find and interpret the average rate of change.
Time (in months)
Balance
0 1 2 3 4 5 6
$250 $234 $220 $202 $189 $171 $157
3. The table shows the balance
in Sonia's bank account over
6 months. Find and interpret
the average rate of change
during this time period.
EES
2.6 m
Find the area. Use = 3.14
a. 21.2264 m2
b. 16.328 m2
c. 84.9056 m2
d. 5.3066 m2
Please select the best answer from the choices provided
Ο Α
Answer:
5.3066m²
Step-by-step explanation:
A=πr²=π·1.3²=5.3066m²
plseas someone know this answer and solution I need it in 10 minutes
Answer:
21.888
Step-by-step explanation:
32*1.2*1.9*0.3= 21.888
Select ALL composite numbers with their correct prime factors(I need help)
Answer:
The answer would be the second and fourth options.
Step-by-step explanation:
This can be solved by using a calculator, the prime factor method, etc. Good luck on your math journey!
Find RS, WILL GIVE BRAINLIEST!!!! Due Today!
Answer:
RS = 6
Step-by-step explanation:
RS² = SU*ST (secant-tangent rule)
Substitute
(x + 6)² = (x + 4 + 5)(x + 4)
(x + 6)(x + 6) = (x + 9)(x + 4)
x(x + 6) +6(x + 6) = x(x + 4) + 9(x + 4)
x² + 6x + 6x + 36 = x² + 4x + 9x + 36
x² + 12x + 36 = x² + 13x + 36
Collect like terms
x² - x² + 12x - 13x = -36 + 36
-x = 0
x = 0
✔️RS = x + 6
Plug in the value of x
RS = 0 + 6
RS = 6
Solve for the missing side indícate Round any answers to the nearest tenth
Answer:
do 180-36-90 and then what you get add a ° and it should be 53°
PLEASE HELP MEEEE!!!
Answer:
x= 9
y= 3 root 3
Step-by-step explanation:
to find the shorter leg length you have: hypotenuse/2
[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]
to find the longer leg length you have: shorter leg × root 3
[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]
Special right triangles.
Find u.
Please help due in 30 min!
Answer:
u= 2 kilometers
Step-by-step explanation:
[tex] \frac{2 \sqrt{2} }{ \sqrt{2} } = 2[/tex]
PLEASE HELP
All numbers less than 17 and greater than or equal to -8
Answer: C
Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17
George peels and eats 2 whole satsumas.
He then splits another satsuma into 6 equal segments and eats 1 of these segments.
How many satsumas does he eat in total?
Give your answer as an improper fraction.
The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.
The total number of satsumas eated by him can be written as -
2 + 1/6
2[tex]\frac{1}{6}[/tex]
Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
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What's the area of the triangle with 9mm 76mm 100mm
9514 1404 393
Answer:
342 mm²
Step-by-step explanation:
The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...
A = 1/2bh
A = (1/2)(9 mm)(76 mm) = 342 mm²
The triangle shown has an area of 342 mm².
_____
Additional comment
The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)
Express The Ratio 36 : 42 In it's Simplest Form ?
Answer:
6/7
Step-by-step explanation:
36/42 = 36:6/42:6 = 6/7
Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
Define volume.Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).
Here,
The volume of cylinder = πr²h
Given : Diameter = 12 inches
radius = 12/2 = 6 inches
Height = 8 inches
Thus ,
To find the volume we put the all the above values in the formula:
=> V = πr²h
=> V = 22/7 * 6² * 8
=> V =355/113 * (6)² * 8
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
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Answer:
V equals 355 over 113 times 6 squared times 8.
Step-by-step explanation:
An octagon has a perimeter of 27 feet. If the sides of the octagon shrink by a scale factor of 8/9, what will the perimeter of the new octagon be
The perimeter of the new octagon be 24 feet.
What is the perimeter of octagon?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.
The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.
Given that the perimeter of an octagon is 27 feet
so the length of its side is 27/8 feet
if the side of the octagon shrink by a scale factor of 8/9
The side of new octagon is (27/8) * (8/9)
The side of new octagon is 3 feet.
So the perimeter of new octagon is 8 * side
⇒ the perimeter of new octagon = 8 * 3 feet
⇒ the perimeter of new octagon = 24 feet
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