Answer: D
Step-by-step explanation:
The increase in temperature is positive, and the absolute value is always positive. So |-8 - 23| is your answer.
Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.
Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3
Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
Lotteries In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that both are different.
The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.
To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.
Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.
The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.
In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.
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Two consecutive integers have a sum of 195. Find the integeres
Hey ! there
Answer:
First Integer is 97Second Integer is 98Step-by-step explanation:
The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.
For finding integers we are assuming them . So ,
Let the first integer be x .Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )Solution : -
According to question ,
First Integer + Second Integer = 195So ,
\( \dashrightarrow \qquad \: x + x + 1 = 195\)
Step 1 : Adding like terms ( x and x ) on left side :
\( \dashrightarrow \qquad \: 2x + 1 = 195\)
Step 2 : Subtracting 1 on both sides :
\( \dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1\)
Simplifying it ,
\( \dashrightarrow \qquad \: 2x = 194\)
Step 3 : Dividing with 2 on both sides :
\( \dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }\)
On further calculations , We get :
\( \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar\)
We know that ,
x = first number✰ Therefore , first number is 97 .
x + 1 = second number97 + 1 98✰ Therefore , second number is 98.
Verifying : -
Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,
97 + 98 = 195195 = 195L.H.S = R.H.SHence , Verified .Therefore , our solution is correct .
#Keep Learning- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Two consecutive integers have a sum of 195. Find the integers
\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)
The integers are 97 and 98.
\(\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}\)
If integers are \(\textbf{consecutive,}\) they stand right next to each other.
Example:- 7 and 8. 7 and 8 are consecutive integers because they stand right next to each other.
Now, let the integer be n.
The integer next to n is 1 greater than n, or n+1.
So we set up the following equation:-
\(\bigstar{\fbox{n+n+1=195}\)
\(\textsf{\underline}}\)Add the n's:-
\(\Longrightarrow\) \(\sf{2n+1=195}\)
Subtract 1 on both sides:
\(\sf{2n=195-1}\)
\(\sf{2n=194}\)
Divide by 2 on both sides:-
\(\bigstar{\fbox{n=97}\)
Now that we've found the first integer, finding the second integer is easy, because we can subtract the first integer from the sum of both integers:-
195-97=98
So the second integer is 98.
Quick Check:-
97 and 98 are consecutiveThey add up to 195:-97+98=195\(\textbf{195=195}\)Since the LHS (left-hand side) equals the RHS (right-hand side), the integers are indeed 97 and 98.Good luck.
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Regression analysis has been used to calculate the line of best fit from a series of data. Using this line to predict a value which lies between the two extreme values
observed historically is known as extrapolation.
Is this statement TRUE or FALSE?
The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.
It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.
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A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?
The width of the piece of metal will be 24 inches while the length will be 29 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the width of metal w then the length will be w + 5
Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;
Length = w+5 - 2 -= w + 3
Width = w - 2
Height = 1
So,
Volume = (w+3)(w-2)1
594 = w² + 2w + 3w - 6
w² + w - 600 = 0
By solving this
w = 24 so width will be 24 and length will be 24 + 5 = 29.
Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".
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The graph of the cubic parent equation, y=x3
, is plotted on the coordinate plane.
Select two equations that represent a shift of the graph of the parent equation to the right on the coordinate plane.
The two equations that represent a shift of the graph are y=(x-12)³ and y=(x+8)³.
What is an equation?
Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.
The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.
=> y=(x-12)³
=> y=(x+8)³
Therefore , the solution of the given problem of equation comes out to be y=(x-12)³ and y=(x+8)³.
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Simplify: (8^2/3)^4
Hello!
The answer is 207,126 10/81!
Hopefully this helps! :D
Please help due in 5 min
Answer:
106
Step-by-step explanation:
\(a_n=a_1+d(n-1)\)
Substitute Values
\(a_1=2d=52 .\)
\(a_n=2+52(n-1)\)
In this case, adding 52 to the previous term in the sequence gives the next term.
then simplify
\(a_n=2+52n-52\)
Substitute in the value of n to find the n th term. In this case 3 and you have your answer
106
Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Eric. Eric sent 9 more messages than Heather. How many messages did they each send?
Answer:
Step-by-step explanation:
Declaration
Let Heather's number of messages = x
Let Eric's number of messages = x + 9
Let Chang's number of messages = 3(x +9)
Equation
x + x + 9 + 3(x + 9) = 116
Solution
x + x + 9 + 3(x + 9) = 116 Remove the brackets
x + x + 9 + 3x + 27 = 116 Combine like terms
x + x + 3x + 9 + 27 = 116
5x + 36 = 116 Subtract 36 from both sides
5x + 36 - 36 = 116 - 36 Combine
5x = 80 Divide both sides by 5
5x/5 = 80/5
x = 16
Answer
Heather = 16
Eric = 16 + 9 = 25
Chang = 3*25 = 75
Solve the system of equations using substitution.
3x + 7y = 19
-X + 8y = -27
Answer:
x= 11
y= -2
Step-by-step explanation:
8y + 27 =x
3(8y+27) + 7y =19
24y + 81 + 7y =19
31y + 81 =19
-81 -81
31y = -62
31 31
y = -2
-x + 8(-2) = -27
-x - 16 = -27
+16 +16
-x = -11
x= 11
Determine whether the equation below has a one solution no solution or an infinite number of solutions afterwords determine two values of X I support your conclusion X -2 equals -2+ X
The given equation is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.
How many solutions has the given equation?Here we have the linear equation:
x - 2 = -2 + x
And we want to see how many solutions it has, so let's solve it.
IF we add 2 in both sides we will get:
x - 2 + 2 = -2 + x + 2
x + (-2 + 2) = x + (-2 + 2)
x = x
Now, that is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.
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Please help I’m struggling
Consider the parabola y = 4x - x2. Find the slope of the tangent line to the parabola at the point (1, 3). Find an equation of the tangent line in part (a).
The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line. we must first calculate the derivative of the given equation.
We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).
We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.
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67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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What is the value of x?
Answer: 15
Step-by-step explanation:
This is a right angle and right angles always add up to 90 degrees.
You would take away 30 from 90 which equals 60.
Then because it is 4x you would do the inverse and divide 60 by 4 to get x on its own.
60/4=15
8 Ones Is Equivalent To 80 Tenths. Divide 80 Tenths By 9 Ones On The Algorithm. Then Multiply And Subtract To Show How Many Tenths You Have Left.
We have 72-tenths left.
What is a Fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
To divide 80 tenths by 9 ones, we first convert the 9 ones to tenths. 9 ones is equivalent to 90 tenths.
Next, we divide 80 by 90:
80 / 90 = 0.8888... (rounded to four decimal places)
To multiply, we multiply 0.8888... by 9:
0.8888... * 9 = 8
Finally, to subtract, we subtract 8 from 80:
80 - 8 = 72
So, we have 72-tenths left.
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A rock is thrown down with a velocity of 20 feet per second from a hot air balloon that is 220 feet above the ground. How long will it take for the rock to reach the ground?
Answer:
It takes the rock approximately 4.96 seconds to reach the ground
Step-by-step explanation:
The given parameters of the rock thrown down from the hot air balloon are;
The (initial) downward velocity with which the rock was thrown down, u = 20 feet/second
The height of the balloon when the rock was thrown down, h = 220 feet
According to the kinetic equation of motion, we have;
h = u·t + (1/2)·g·t²
Where;
h = The height of the rock when it was thrown = 220 ft.
u = The initial velocity of the rock = 20 ft./s
g = The acceleration due to gravity acting on the rock = 9.81 m/s²
t = How long it takes the rock to reach the ground
Plugging in the values gives;
220 = 20·t + (1/2)×9.81×t²
4.905·t² + 20·t - 220 = 0
Therefore;
t = (-20 ± √(20² - 4×4.905×(-220)))/(2 × 4.905)
t ≈ 4.96, or t ≈ -9.04
Therefore, the time it takes the rock to reach the ground, t ≈ 4.96 seconds.
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
if you multiply amp × ohm, the answers will be in units of
Multiplying ampere (amp) by ohm gives units of volt (V).
Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.
Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.
Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.
Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.
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PLEASE HELP I HAVE 21 POINTS PLEASE Part A: The sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 10^3 seconds? (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10^−3 mm or 1.435 ⋅ 10^3 mm? Justify your answer. (5 points)
Answer:
Step-by-step explanation:
Part A;
\(\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0\)
Part B ;
\(1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m\)
The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)
Answer:
1.2675 × 10^37.
Step-by-step explanation:
you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37
Hope it helps!
let , ,, x x1 2 x64 be a random sample from a poisson distribution with a mean of 4. find an approximate probability that the sample mean x is greater than 3.5.
Probability of x > 3.5 ≈ 0.9772 using CLT.
How to find probability?To find the approximate probability that the sample mean x is greater than 3.5 when x1=2 and x=64 from a Poisson distribution with a mean of 4, we can use the Central Limit Theorem (CLT) to approximate the distribution of the sample mean as a normal distribution.
First, we calculate the mean and standard deviation of the sample mean as follows:
Mean of the sample mean (μx) = mean of the Poisson distribution = 4
Standard deviation of the sample mean (σx) = standard deviation of the Poisson distribution / square root of the sample size = sqrt(4) / sqrt(64) = 0.5/8 = 0.0625
Next, we can standardize the sample mean using the formula z = (x - μx) / σx, where x is the value we want to find the probability for, to get:
z = (3.5 - 4) / 0.0625 = -2
Finally, we can use a standard normal distribution table or calculator to find the probability that a z-score is greater than -2, which is approximately 0.9772. Therefore, the approximate probability that the sample mean x is greater than 3.5 is 0.9772.
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What does this mean? x to the power 102
Solve: 2 to the power 6
Answer: 64
Step-by-step explanation:
(2 x 2) x (2 x 2) x (2 x 2)= 64
(4 x 4) x 4 = 64
16 x 4 = 64
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nevaeh and michael are helping their friend nabhitha move. if nevaeh can move 6 boxes for every 24 boxes that michael moves, then how many boxes can michael move for every box that nevaeh moves? what is the enter
Answer:
Step-by-step explanation: I think it could be 5,0000
How many 1-foot rulers laid end to end would
it take to equal 3 yards?
Answer:
9
Step-by-step explanation:
Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is
represented by the expression 15 +0.75h.
Complete each statement to describe the terms.
The variable h represents ?
The constant 15 represents ?
The variable term 0.75h represents ?
Please help me in geomotry.
Answer:
distance between (3,7) and (-6,-4) is \(\sqrt{202}\)
Step-by-step explanation:
3rd point = (3, -4)
from (3,7) to (3, -4) is 11 units
from (-6,-4) to (3, -4) is 9 unites
hypothenuse
a^2 + b^2 = c^2
(11)^2 + (9)^2 = c^2
121 + 81 = c^2
c^2 = 202
c = \(\sqrt{202}\)
Find the X and Y intercepts of the equation y = 3/2 x - 9
Baby lisa automatically turns her head in the direction of a touch on the cheek. This is the _____ reflex.
Turning of head is rooting reflex.
Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.
Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.
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Julie‘s mom paid 2.70$ for 5 pounds of bananas. Mario's mom paid 2.60$ for 4 pounds of bananas. Write a division equation for each banana purchase, and then decide which store had the better banana price.
Answer:
The store Julie's mom goes to has a better price.
Step-by-step explanation:
You would take the price and divide it by the number of pounds. $/lbs
Julies mom: 2.70/5 = 54 cents per lbs
Mario's mom: 2.60/4 = 65 cents per lbs
Answer:
The store Julie's mom goes to has a better price.
Step-by-step explanation: