Answer:
5/27
Step-by-step explanation:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.
Quadratic equation8x² + 16x + 3 = 0
8x² + 16x = -3
8(x² + 2x) = -3
Using completing the square8(x² + 2x + 1) = -3 + 8
factorization8(x² + 1) = 5
(x² + 1) = 5/8
Taking the square root of both sides(x + 1) = ± √5/8
x = -1 ± √5/8
Therefore,
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
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What is the zero of function f?
f(x)=7^3Vx+12-12
Answer:
hope it helps ya.
please give me brainliest
student asked participants in their survey the same questions.
• Brian surveyed all the students in the school clubs.
• Ellen surveyed 10 different students in all of his classes that he had in the morning.
• Karter surveyed all the seventh graders who were eating sandwiches in the cafeteria at
lunchtime.
• Olivia surveyed each fifth person from a list containing alphabetized names of the
students in the school.
Which student’s survey would most likely be representative of sports preferences at the
school?
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
E is the mid point of DF. If DE= 7x. What is the length of DE
Answer:
I think you're missing information and don't you mean "what's the length of DF?"
3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3
write an equivalent expression for the expression 6x-18-12y using a negative factor.
An equivalent expression for the expression 6x - 18 - 12y using a negative factor is,
⇒ - 6 (2y - x + 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 6x - 18 - 12y
Now, We can find the factor by taking GCD of each term in the expression.
GCD = 6
Hence, An equivalent expression for the expression 6x - 18 - 12y using a negative factor is,
⇒ 6x - 18 - 12y
⇒ - 6 (2y - x + 3)
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Ken wanted to cut three pieces of yarn from a 20-foot spool yarn. The length of the three
pieces that he needed were 1 feet, 2 feet, and 5 feet. How much of the 20-foot spool
of yarn would be left over?
Answer: 12-feet would be left out of the 20-foot spool yarn.
Step-by-step explanation: Brainliest is helpful :)
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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Determine the domain and range of the function f(x) = x + . Enter your answers in interval notation.What is the DomainWhat is the Range
The function given is a linear one, which describes a line.
Thus, the domain and range all are real numbers. Because all real numbers x will give us a value of f(x), and the same for y, eventually the function will get to all real values for f(x).
The answer in interval notation is (-∞, ∞) for the domain, and (-∞, ∞) for the range.
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answer:
m=25/28
Step-by-step explanation:
Where is the central tendency located in a skewed left distribution?
to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar
The Central tendency is typically located to the right of the tallest bar.
In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.
The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.
In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.
On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.
The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.
To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.
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Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is 34π/3 radians per minute.
What is the radius of the smaller gear?
1.25 feet
1.5 feet
15 feet
18 feet
So
\(\\ \rm\Rrightarrow v=r\omega\)
v is linear velocityomega is angular velocity\(\\ \rm\Rrightarrow r=\dfrac{v}{\omega}\)
\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}\)
\(\\ \rm\Rrightarrow r=\dfrac{1}{4}\)
\(\\ \rm\Rrightarrow r=0.25ft\)
Convert to ft
0.25(3)=0.75ft1 min=60s
Hence
34π/3×60=34π×20=680πSo
\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[\)
\(\\ \rm\Rrightarrow r=\dfrac{1}{40}\)
\(\\ \rm\Rrightarrow r=0.025in\)
Convert to ft
0.025(12)0.3ftNone of the above
The radius of the smaller gear is 15 feet, Option C is correct.
What is Velocity?Velocity is defined as the rate of change of distance of a body with respect to time
We can use the relationship between linear velocity and angular velocity for gears to solve this problem:
v = rω
where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.
We are given the linear velocity of the larger gear, which is 17π/6 inches per second.
v = 17π/6 inches per second
ω = (34π/3) / 60 radians per second
the radius of the smaller gear is:
r = v / ω
= (17π/6) / ((34π/3) / 60)
= 17π/6×60/(34π/3)
=17π/6×60×3/34π
= 1/6 ×60× 3/2
= 180/12
=15 feet
Hence, the radius of the smaller gear is 15 feet.
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The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container?
Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.
The container is capable of holding 1/2 gallons of water.
If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:
= Capacity of container x Percentage full
= 1/2 x 3/4
= 3/8 gallons of water
In conclusion, the container is currently holding 3/8 gallons of water.
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Help im timed The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.
first to anwser is brainliest
Answer:
D
Step-by-step explanation:
Match the x and y coordinates with strawberries and bananas.
(6,1)
(12,2)
(18,3)
Answer:
A
Step-by-step explanation:
It is same
I NEED HELP ASAP PLEASE!!! Determine which integer will make the inequality x − 3 > 15 true.
S:{15}
S:{17}
S:{18}
S:{30}
Answer:
c) S : {30}
So, it is correct answer.
Step-by-step explanation:
mental math be like :-)
A normal distribution has a mean of 135 and a standard deviation of 8. Find the Z-score for a data value of
118.
Round to two decimal places
Answer:
The z-score will be -2.125
Step-by-step explanation:
To calculate z-score, use the mean and standard deviation. The equation is
z=value-mean
/standard deviation
5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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which number has 5 that is 1/10 the value of the 5 in 522.12?
Answer:
50,12
Step-by-step explanation:
any number that has 5 in the tensplace is correct
1/10 of 100 is 10
next number in sequence 1 9 5 6
Answer:
14
Step-by-step explanation:
1 to 9 = +8
9 to 5= -4
5 to 6 = +1
so 6 to next number = +8
= 6 +8
=14
Is 16/60 and 4/15 equivalent ratio
Answer:
Yes
Step-by-step explanation:
4 x 4 =16
____ _____
15 x 4 = 60
Horatio weighs three times as much as Kimberly and together they weigh a total of 95
Use the given table for f(x) to find f(O), f(4), f'(o), and f'(4).
Answer:
this is confusing
I feel bad for you having to answer this
Step-by-step explanation:
What is the equation of a line that passes through the point (8,-2) and is parallel to the line whose equation is 3x+4y=15?
Answer:
y = -3x/4 + 4
Step-by-step explanation:
slope m = -3/4
-2=(-3/4)×8+b
or, b = 4
y = mx + b
y = -3x/4 + 4
Answered by GAUTHMATH
63x^18/9x^2 simplified
Answer:
7x^16. Step-by-step solution in the attachment.
i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
A given bag contains 8 red balls, 6 green balls, and 11 blue balls. If you were to draw one of the balls randomly from this bag, what is the probability that the ball you draw randomly will be blue?
Answer:
\(\boxed {\boxed {\sf \frac{11}{25} \ or \ 0.44}}\)
Step-by-step explanation:
The probability of an event can be found by dividing the favorable outcomes by all outcomes.
\(P=\frac{favorable \ outcomes}{all \ outcomes}\)
We want to find the probability of a blue ball. In this situation, the favorable outcomes are the blue balls. The total number of balls is all the outcomes.
\(P(blue)=\frac{blue \ balls }{all \ balls }\)
There are 11blue balls.
Find the total number of balls, which is the sum. 8 red+ 6 green + 11 blue=25 total\(P(blue)=\frac{11}{25}\)
This fraction cannot be reduced further, so it is the answer. As a decimal it is:
\(P(blue)=0.44\)
The probability of drawing a blue marble is 0.44 or 11/25
the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts
Answer:
3.5?
Step-by-step explanation:
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.
We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,
Average rate = (1750 - 0) / (600 - 100)
Average rate = 1750 / 500
Average rate = 3.5
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
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 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%