Answer:
3:2 6:4 24:16
Step-by-step explanation:
what is the slope of the line represented by the equation y =7 - x?
Answer:
slope = -1
Step-by-step explanation:
When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.
The slope of the line represented by the given equation is -1.
Given the following equation:
\(y =7 - x\) ...equation 1.To determine the slope of the line represented by the given equation:
Mathematically, the standard form of an equation of line is given by the formula;
\(y=mx+b\) ....equation 2.
Where:
x and y are the points.m is the slope.b is the intercept.Equating the two equations, we have:
\(y = mx+b = 7-x\)
Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.
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Explain how to find the volume of the four ice cubes in the glass below if each ice cube is 2 inches wide. Pls help
The total volume of the ice cubes is 32 in^3
We know that, for a cube of side length L, the volume is:
V = L^3
So if we know that each of the ice cubes is 2 inches wide, we can see that the side length of each ice cube is 2 inches.
Then we have L = 2in
Then the volume of each ice cube is:
V = (2in)^3 = 8 in^3
And we have four of these, then the total volume is 4 times the volume of a single ice cube.
Total volume = 4*( 8 in^3) = 32 in^3
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the lengths of turtles in a park are normally distributed with a mean of 25.9 inches and a standard deviation of 6.3 inches. what is the percentile rank of a turtle whose length is 21 inches?
By using normal distribution of probability, it is obtained that
Percentile rank of a turtle whose length is 21 inches is 22%
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here, Normal Distribution of probability is used
Mean = 25.9 inches
Standard deviation = 6.3 inches
P(X \(\leq\) 21) = P(z \(\leq\) \(\frac{21 -25.9}{6.3}\))
= P(z \(\leq\) -0.78)
= 0.22
= 22%
Percentile rank of a turtle whose length is 21 inches is 22%.
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I NEED AN ANSWER FAST
2. If x = -8, which inequality is true?
A. -3x - 2 = 24
B. 12 + 2x > 9
C. 4x -19 318
D. 17 + x>10
Answer:
[C] 4x - 19 < 318
Step-by-step explanation:
For [C] I think you meant: [C] 4x - 19 < 318
Since, x = -8
then we can plug it in to each answer choice to find the answer:
[A] -3x - 2 = 24
⇒ -3(-8) - 2 = 24
-3(-8) = 24
24 -2 = 22 not 24
False.
[B] 12 + 2x > 9
⇒ 12 + 2(-8) > 9
12 -16 > 9
-4 > 9
False.
[C] 4x -19 < 318
⇒ 4(-8) -19= 318
-51 < 318
True.
[D] 17 + x>10
⇒ 17 + (-8) >10
-25 > 10
False.
Hence, the answer is [C] 4x - 19 < 318
Kavinsky
Can someone help me plz
Answer:
the green and red one
Step-by-step explanation:
they're the same I'm pretty sure
Answer:
The Green and Red one
Step-by-step explanation:
They both have the same angles but their sides are different
Triangle XYZ is similar to triangle JKL. Triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 13.05. Determine the length of side LJ. 6.83 11.70 12.30 12.41
The length of side LJ is 12.41.
Since triangle XYZ is similar to triangle JKL, we know that the corresponding sides are proportional. This means that the ratio of the lengths of the sides in triangle XYZ to the corresponding sides in triangle JKL is constant. We can use this fact to solve for the length of side LJ.
Let k be the constant of proportionality. Then we have:
XY / JK = YZ / KL = ZX / LJ = k
Substituting the given values, we have:
8.7 / 13.05 = 7.8 / KL = 8.2 / LJ
Solving for KL and LJ, we get:
KL = (7.8 x 13.05) / 8.7 = 11.70
LJ = (8.2 x 13.05) / 7.8 = 12.41
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There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller number. Find the two numbers. Answer: If the smaller number is x, the equation will be . The numbers in ascending order are:
BRAINLIEST IF CORRECT
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
1) Translate the information into equations
"One is 7 more than twice the other"
⇒ \(y=2x+7\)
"The sum of the numbers is 43"
⇒ \(x+y=43\)
2) Use substitution to solve for the smaller number
\(x+y=43\)
Plug the equation \(y=2x+7\) into the above equation
\(x+(2x+7)=43\\x+2x+7=43\\3x+7=43\)
Subtract both sides by 7
\(3x+7-7=43-7\\3x=36\)
Divide both sides by 3 to isolate x
\(\frac{3x}{3} = \frac{36}{3} \\x=12\)
Therefore, the smaller number equates to 12.
3) Use substitution to solve for the greater number
\(x+y=43\)
Plug in x as 12
\(12+y=43\)
Subtract both sides by 12 to isolate y
\(12+y-12=43-12\\y=31\)
Therefore, the greater number equates to 31.
I hope this helps!
How to do this???????
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19
Answer:
14
Step-by-step explanation:
2x-9=x+5 (being isosceles triange)
2x-x=5+9
x=14
hope u understood
Ravi has scored 99, 61, 71, and 83 on his previous four tests. What score does he need on his next test so that his average (mean) is 78?
Answer:
59
Step-by-step explanation:
Let s = score needed on the next test
(99 + 71 + 83 + s)/4 = 78
Multiply both sides by 4 to remove the fraction.
(4)(99 + 71 + 83 + s)/4 = 78(4)
99 + 71 + 83 + s = 312
253 + s = 312
s = 312 - 253
s = 59
The value of a certain photocopying machine t years after it was purchased is defined by P(t) = le-0.25 where is its purchase value. What is the value of the machine 6 years ago if it was purchased 35"
The value of a photocopying machine t years after its purchase is given by the function P(t) = l * e^(-0.25t), where "l" represents the purchase value. To determine the value of the machine 6 years ago, we need to substitute t = -6 into the function using the given purchase value of 35".
By substituting t = -6 into the function P(t) = l * e^(-0.25t), we can calculate the value of the machine 6 years ago. Plugging in the values, we have:
P(-6) = l * e^(-0.25 * -6)
Since e^(-0.25 * -6) is equivalent to e^(1.5) or approximately 4.4817, the expression simplifies to:
P(-6) = l * 4.4817
However, we are also given that the purchase value, represented by "l," is 35". Therefore, we can substitute this value into the equation:
P(-6) = 35 * 4.4817
Calculating this expression, we find:
P(-6) ≈ 156.8585
Hence, the value of the photocopying machine 6 years ago, if it was purchased for 35", would be approximately 156.8585".
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The value of a photocopying machine t years after it was purchased is given by the function \(P(t) = l e^{-0.25t}\), where l represents its purchase value.
The given function \(P(t) = l e^{-0.25t}\) represents the value of the photocopying machine at time t, measured in years, after its purchase. The parameter l represents the purchase value of the machine. To find the value of the machine 6 years ago, we need to evaluate P(-6).
Substituting t = -6 into the function, we have \(P(-6) = l e^{-0.25(-6)}\). Simplifying the exponent, we get \(P(-6) = l e^{1.5}\).
The value \(e^{1.5}\) can be approximated as 4.4817 (rounded to four decimal places). Therefore, P(-6) ≈ l × 4.4817.
Since the purchase value of the machine is given as 35", we can find the value of the machine 6 years ago by multiplying 35" by 4.4817, resulting in approximately 156.8585" (rounded to four decimal places).
Hence, the value of the machine 6 years ago, based on the given information, is approximately 156.8585".
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please help thank you
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
3potniIn a right triangle, the altitude drawn to the hypotenuse divides the hypotenuse into two segments of equal lengths 8 cm and 2 cm. What is the length of the altitude?O 10 cm
Answer:
\(\text{The altitude is 4cm.}\)Step-by-step explanation:
Let's illustrate the situation in a diagram to understand.
In a right triangle if the altitude drawn divides the hypotenuse into two segments, then the length of the altitude is the geometric mean of the lengths of the two segments.
Therefore,
\(\begin{gathered} \frac{8}{a}=\frac{a}{2} \\ 2\cdot8=a^2 \\ 16=a^2 \\ a=\sqrt[]{16} \\ a=4\text{ cm} \end{gathered}\)
1. There are red and blue marbles in a bowl.
There are twice as many blue marbles as
red marbles. What expression represents
the number of blue marbles?
A 2b, where b is the number of blue
marbles
B 2r, where r is the number of red
marbles
Cr+2, where ris the number of
red marbles
D
b
where b is the number of
2
blue marbles
Answer:
2r, where r is the number of red marbles
Step-by-step explanation:
Since there is twice as many blue marbles as red marbles, it infers blue marbles = 2 × red marbles.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 2348 no votes, what was the total
number of votes?
A city's residents voted on whether to raise property taxes. The yes votes outnumbered the no votes 5 to 4. The total number of votes = 1043 if there were 2348 no votes.
What is Ratio and proportion?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls). In the ratio, the product of means equals the product of extremes.
If the cross products of two ratios are equal, they are said to be equal. The Proportion Formula is as follows: a: b:: c: d a b = c d
Therefore,
The total number of votes = 1043
yes votes / no votes = 5/4
Means there were a total of 9 votes;
So we could say:
No votes/Total votes = 4/9
So using total of 2348 votes, we can set up a proportion:
No votes/Total votes = 4/9 = x/2348
Cross multiplying ,
9392 = 9x
∴ x = 9392/9
= 1043
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write the expression (6-3i)+(5+4i) as a complex number in standard form
Answer:
\(11+i\)
Step-by-step explanation:
So we have the expression:
\((6-3i)+(5+4i)\)
Remove the parentheses:
\(=6-3i+5+4i\)
Combine like terms:
\(=6+5-3i+4i\)
Add:
\(=11+i\)
This is in standard form. a is 11 and b is 1.
And we're done!
In an epidemic in Sample City (population 200,000), there were 1,200 cases of tuberculosis diagnosed during the year ending on December 31, 2018. There were 340 deaths resulting from tuberculosis and 1,760 deaths resulting from causes other than tuberculosis during that year. What is the cause-specific mortality rate from tuberculosis in Sample City in 2018
The cause-specific mortality rate from tuberculosis in Sample City in 2018 is approximately 1.7 per 1,000 population.
To calculate the cause-specific mortality rate from tuberculosis in Sample City in 2018, we need to divide the number of deaths caused by tuberculosis by the population size and then multiply the result by a constant factor (e.g., 1,000 or 100,000) to express it per a specific unit of population.
Given information:
Population of Sample City: 200,000
Number of deaths resulting from tuberculosis: 340
Cause-specific mortality rate from tuberculosis = (Number of deaths resulting from tuberculosis / Population) * Constant factor
Let's calculate the cause-specific mortality rate:
Cause-specific mortality rate = (340 / 200,000) * 1,000
Calculating the value:
Cause-specific mortality rate = 0.0017 * 1,000
≈ 1.7
Therefore, the cause-specific mortality rate from tuberculosis in Sample City in 2018 is approximately 1.7 per 1,000 population.
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How do you know if a curve is positive or negative?
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
Could you please help me with this!!
Answer:
35%
Step-by-step explanation:
7/20 = 35%
Answer:
Step-by-step explanation:
7 /20 = 0.35 = 35%
Tyrion, Cersei, and ten other people are sitting at a round table, with their seatingarrangement having been randomly assigned. What is the probability that Tyrion andCersei are sitting next to each other? Find this in two ways:(a) using a sample space of size 12!, where an outcome is fully detailed about the seating;(b) using a much smaller sample space, which focuses on Tyrion and Cersei
(a) In a seating arrangement with 12 people, there are 12! (factorial of 12) possible seating arrangements. The outcome is fully detailed about the seating. 2 people can be seated in 2! Ways. There are 10 people left to seat and there are 10! Ways to seat them. So, we get the following:(2! × 10!)/(12!) = 1/6. Therefore, the probability that Tyrion and Cersei are sitting next to each other is 1/6.
(b) In this smaller sample space, we will only focus on Tyrion and Cersei. There are only 2 possible ways they can sit next to each other:
1. Tyrion can sit to the left of Cersei
2. Tyrion can sit to the right of CerseiIn each case, the other 10 people can be seated in 10! Ways.
So, the probability that Tyrion and Cersei are sitting next to each other in this smaller sample space is:(2 × 10!)/(12!) = 1/6, which is the same probability we got using the larger sample space.
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Plz help not much!!!!! Plz be correct I don’t wanna fail
Answer:
yes it is a right triangle
Step-by-step explanation:
Answer:
of course not
Step-by-step explanation:
use Pythagoream thereom
12^2 + 14^2 does not equal 25^2
solve x² =-169
thank you so much to whoever hlps me
Answer:
yor final answer is going to be 59
Step-by-step explanation:
59
Answer:
13
Step-by-step explanation:
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer:
\(m\angle 1 =105^\circ\\m\angle 2 =75^\circ\)
Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram
\(m\angle 2 =75^\circ $ (Alternate Angles)\)
\(m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ\)
Answer:
m<2: 75
m<1: 105
Step-by-step explanation: On edge 2021
Hope this helps!
T/F regardless of whether a distribution of scores that is symmetrically shaped has one mode or two modes, the mean value tends to be similar to the median value.
True
In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.
When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.
The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.
If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.
If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.
In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.
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Maybe my brain is broke
The equation the line is, y = -3/2 *x -1
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have ,
from the given graph we get,
the line is passing through the points (0,-1)& ( -2,2)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
now, by solving we get,
-3x-2y=2
Hence, the required equation is, y = -3/2 *x -1
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B
Find the measure of 21.
21
42°
86
What does an extension ladder's size classification indicate?
Select one:
a.The minimum reach when placed at the appropriate climbing angle
b.The ladder's length when the fly section is not extended
c.The maximum building height against which the ladder can be raised
d.The full length to which it can be extended
The correct answer is (D) The full length to which it can be extended.
The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.
This helps users determine if the ladder will be long enough for their specific needs when working at height.
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what is the probability that the heart rate is under 125 given that its over 100 statistcis
The probability of the heart rate being under 125 given that it is over 100 is likely to be higher than the probability of the heart rate being under 100 given that it is over 100.
To understand the probability that the heart rate is under 125 given that it is over 100, we need to use conditional probability. This is a concept that involves calculating the probability of an event occurring given that another event has already occurred. In this case, we want to find the probability of the heart rate being under 125 given that it is over 100.
To do this, we need to know the total number of observations and the range of heart rates that fall within the category of being over 100. For example, if we have a sample size of 100 and 50 observations fall within the category of being over 100, then we can assume that the heart rates range from 101 to some upper limit.
Using this range and the total number of observations, we can calculate the probability of the heart rate being under 125 given that it is over 100. This probability is dependent on the actual distribution of the data, so we would need more information to give a specific answer. However, in general, the probability of the heart rate being under 125 given that it is over 100 is likely to be higher than the probability of the heart rate being under 100 given that it is over 100. This is because the range of heart rates that fall within the category of being over 100 is likely to be wider than the range of heart rates that fall within the category of being under 100. As a result, there is a higher likelihood that a heart rate within this range will fall under 125 than under 100.
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4. Write the following quadratics as products of two binomials. f(x) = 6x2 + 66x + 60
Answer:
f(x)=(6x+6)(x+10)
Explanation:
Given the quadratic expression:
\(f\mleft(x\mright)=6x^2+66x+60\)First, we can rewrite it in the form below:
\(f\mleft(x\mright)=6x^2+60x+6x+60\)Next, factor the terms:
\(\begin{gathered} f(x)=6x(x+10)+6(x+10) \\ \implies f(x)=(6x+6)(x+10) \end{gathered}\)Thus, the quadratics as a product of two binomials is:
\(f(x)=(6x+6)(x+10)\)1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m\(2^{2}\)
b.
c.
d.
e.
f.
g.
h.
i.
Answer:
No factorizable, está en su forma más simple
Step-by-step explanation:
Find the common factor by grouping the terms of the following exercises
3m\(2^{2}\) --> Not factorable, is in simplest form.
Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
3m\(2^{2}\) --> No factorizable, está en su forma más simple.
--------------------------------------------------------------------
Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.