HELPPP I WILL MARK BRAINIEST!!! Look at the rectangle and the square: Sam says that the length of diagonal SQ is two times the length of diagonal OM. Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answers
the length of the square is a = 6 in.
the length of the diagonal is,
\(d=\sqrt[]{2}a\)where a= side of the square,
\(\begin{gathered} d=\sqrt[]{2}\times6 \\ d=6\sqrt[]{2} \end{gathered}\)in rectangle, the length of the diagonal SQ,
\(\begin{gathered} SQ=\sqrt[]{6^2+12^2} \\ SQ=\sqrt[]{36+144} \\ \end{gathered}\)\(\begin{gathered} SQ=\sqrt[]{180} \\ SQ=\sqrt[]{36\times5} \\ SQ=6\sqrt[]{5} \end{gathered}\)so it is clear that 2 x OM
\(\begin{gathered} 2\times6\sqrt[]{2} \\ 12\sqrt[]{2} \end{gathered}\)so it is not equal to SQ.
it means the sam was wrong.
he length of diagonal SQ is not equal to two times the length of diagonal OM.
Related Questions
Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.
Answers
Answer:
C is the correct answer
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
Answers
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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Express the sum of the angles of this triangle in two different ways.
X
1/2x
3/2x
Answers
The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2
How to determine the expressionIt is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.
We have the angle measurements as;
x3/2x1/2xSubstitute the values
x + 1/2 x + 3/2x = 180
Find the lowest common multiple
2x + x + 3x /2 = 180
Add the numerators
6x/2 = 180
cross multiply
6x = 360
x = 60
Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2
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Which expression is equivalent to the expression below? 2^4 2^3
Answers
Answer:
there isn't any choices for me to answer
have a good day :)
Step-by-step explanation:
20 points | If you're good at math, please help me with this 9th grade math, thank you <3 kinda running out of time here
Answers
Answer:
y = x^2 + 15x + 56
Step-by-step explanation:
The solutions (where the trinomial = 0) is the factors that will turn the trinomial into 010.
(x + 7)(x + 8) = 0
This means that either -7 will turn the trinomial into 0 or - 8 will.
The trinomial is
x^2 + 8x + 7x + 56 will turn the trinomial to 0.
y = x^2 + 15x + 56 when either - 7 or - 8 is put in for x.
y = (-7)^2 + 15(-7) + 56
y = 49 - 105 + 56
49 + 56 = 105
y = 105 - 105 = 0
y = (-8)^2 - 15(-8) + 56
y = 64 - 120 + 56
y = 120 - 120= 0
No other number will turn the trinomial into 0.
(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
Answers
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
Answers
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations. Let I(t) denote the number of infected individuals. Suppose that the total population is 2000, the proportionality constant is 0.0001, and that 1% of the population is infected at time t-0, write down the intial value problem and the solution I(t).
dI/dt =
1(0) =
I(t) =
symbolic formatting help
Answers
Answer:
dI/dt = 0.0001(2000 - I)I
I(0) = 20
\(I(t)=\frac{2000}{1+99e^{-0.2t}}\)
Step-by-step explanation:
It is given in the question that the rate of spread of the disease is proportional to the product of the non infected and the infected population.
Also given I(t) is the number of the infected individual at a time t.
\(\frac{dI}{dt}\propto \textup{ the product of the infected and the non infected populations}\)
Given total population is 2000. So the non infected population = 2000 - I.
\(\frac{dI}{dt}\propto (2000-I)I\\\frac{dI}{dt}=k (2000-I)I, \ \textup{ k is proportionality constant.}\\\textup{Since}\ k = 0.0001\\ \therefore \frac{dI}{dt}=0.0001 (2000-I)I\)
Now, I(0) is the number of infected persons at time t = 0.
So, I(0) = 1% of 2000
= 20
Now, we have dI/dt = 0.0001(2000 - I)I and I(0) = 20
\(\frac{dI}{dt}=0.0001(2000-I)I\\\frac{dI}{(2000-I)I}=0.0001 dt\\\left ( \frac{1}{2000I}-\frac{1}{2000(I-2000)} \right )dI=0.0001dt\\\frac{dI}{2000I}-\frac{dI}{2000(I-2000)}=0.0001dt\\\textup{Integrating we get},\\\frac{lnI}{2000}-\frac{ln(I-2000)}{2000}=0.0001t+k \ \ \ (k \text{ is constant})\\ln\left ( \frac{I}{I-222} \right )=0.2t+2000k\)
\(\frac{I}{I-2000}=Ae^{0.2t}\\\frac{I-2000}{I}=Be^{-0.2t}\\\frac{2000}{I}=1-Be^{-0.2t}\\I(t)=\frac{2000}{1-Be^{-0.2t}}\textup{Now we have}, I(0)=20\\\frac{2000}{1-B}=20\\\frac{100}{1-B}=1\\B=-99\\ \therefore I(t)=\frac{2000}{1+99e^{-0.2t}}\)
The required expressions are presented below:
Differential equation\(\frac{dI}{dt} = 0.0001\cdot I\cdot (2000-I)\) \(\blacksquare\)
Initial value\(I(0) = \frac{1}{100}\) \(\blacksquare\)
Solution of the differential equation\(I(t) = \frac{20\cdot e^{\frac{t}{5} }}{1+20\cdot e^{\frac{t}{5} }}\) \(\blacksquare\)
Analysis of an ordinary differential equation for the spread of a disease in an isolated population
After reading the statement, we obtain the following differential equation:
\(\frac{dI}{dt} = k\cdot I\cdot (n-I)\) (1)
Where:
\(k\) - Proportionality constant\(I\) - Number of infected individuals\(n\) - Total population\(\frac{dI}{dt}\) - Rate of change of the infected population.Then, we solve the expression by variable separation and partial fraction integration:
\(\frac{1}{k} \int {\frac{dI}{I\cdot (n-I)} } = \int {dt}\)
\(\frac{1}{k\cdot n} \int {\frac{dl}{l} } + \frac{1}{kn}\int {\frac{dI}{n-I} } = \int {dt}\)
\(\frac{1}{k\cdot n} \cdot \ln |I| -\frac{1}{k\cdot n}\cdot \ln|n-I| = t + C\)
\(\frac{1}{k\cdot n}\cdot \ln \left|\frac{I}{n-I} \right| = C\cdot e^{k\cdot n \cdot t}\)
\(I(t) = \frac{n\cdot C\cdot e^{k\cdot n\cdot t}}{1+C\cdot e^{k\cdot n \cdot t}}\), where \(C = \frac{I_{o}}{n}\) (2, 3)
Note - Please notice that \(I_{o}\) is the initial infected population.
If we know that \(n = 2000\), \(k = 0.0001\) and \(I_{o} = 20\), then we have the following set of expressions:
Differential equation\(\frac{dI}{dt} = 0.0001\cdot I\cdot (2000-I)\) \(\blacksquare\)
Initial value\(I(0) = \frac{1}{100}\) \(\blacksquare\)
Solution of the differential equation\(I(t) = \frac{20\cdot e^{\frac{t}{5} }}{1+20\cdot e^{\frac{t}{5} }}\) \(\blacksquare\)
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Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answers
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
Please helppppppppppp
Answers
Answer:
1
2
[
x
2
2
−
x
3
3
]
2
0
=
1
2
[
(
4
2
−
8
3
)
−
(
0
)
]
=
1
2
(
−
2
3
)
=
−
1
3
Step-by-step explanation:
Question about decimals
I have a math problem
205.17/713.95
I worked it out all by hand and eventually got to 34.79797241 as the calculator stated. This problem was very time consuming as it took a lot of work to complete. I was wondering if there was a simpler way of cutting my answer short that would also be correct?. I am unable to determine if this number is terminal or repeating as the decimal answer looks repeating with the 7979 but then appears to be terminal with the 241 part. Im assuming this number is terminal? Do I just need to suck it up and do the math or Is there a certain part of the decimal place value it would be appropriate to just stop at?
One more question unrelated to my previous questions.
I originally tried to solve this problem out of (A.) 713.95the divisor /by 205.17 the dividend as I know I am ALWAYS supposed to put the bigger number in the dividend section, but I am curious on how I would go about solving this question the opposite way (B.) with 205.17 as the divisor /by 713.95 as the dividend. I know this is possible as the calculator states
(A.) 713.95/205.17 =3.479797241
(B.) 0.2873730653 (I'm guessing this overwhelmingly long decimal is also terminal?)
Answers
Answer:
Both are terminating decimalsStep-by-step explanation:
Answer to your questions:
First of all, both A and B are correct and both quotients are terminating decimals.To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth). Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29A wiring job requires 4 electricians to work for 6 hours to finish the job.
On the day of the job, one electrician does not report. How long would it
take to complete the same job by the remaining electricians?
Answers
if we are talking about 24hrs. 24/4=6 so 24/3=8 (3 bc there is one less)!
The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Number of electricians= 4
Number of hours= 6
Now,
We can use the formula:
workers × time = work
where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.
In this case, we know that 4 electricians can complete the job in 6 hours. So:
4 × 6 = work
work = 24
This means that the total amount of work required to complete the job is 24 "units".
Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".
So we have:
3 × t = 24
Dividing both sides by 3, we get:
t = 8
Therefore, by work and time answer will be 3 electricians and 8 hours.
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A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answers
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
Helppppppp!!! One bus is 5 miles east and 2 miles north of the bus terminal. Another bus is 3 miles west and 6 miles south of the terminal how far apart are the buses?
Answers
Answer:
16 miles apart
Step-by-step explanation:
Karen will spend more than $25 on gifts. So far, she has spent $14. What are the possible additional amounts she will spend?
Use for the additional amount (in dollars) Karen will spend.
Write your answer as an inequality solved for c .
Answers
Answer:
i say it is 1.78 because you are didving the sum and the prat
Step-by-step explanation:
Select the correct answer.
What is the domain of the function shown on the graph?
y
-8
OF
-4 -2
Ο Α. * < 2
O B.
C.
8
OD. x ≤ 1
6+
4+
2+
-2
N
4
-6-
8-
2
-∞0 < x < 00
-10 < x < 2
-00
6 8
+x
Answers
By answering the presented question, we may conclude that The domain of the function shown on the graph is: -10 < x < 2
what is domain?The domain of a function is the range of possible values that it can accept. These numbers represent the x-values of a function such as f. (x). The domain of a function is the range of possible values that can be used with it. This set includes the value returned by the method after adding the x value. A function with y as the dependant variable and x as the independent variable has the formula y = f. (x). When a single value of y can be created successfully from a value of x, that value of x is said to be in the function's domain.
The domain of the function shown on the graph is:
-10 < x < 2
Therefore, the correct answer is option C.
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Joe makes tomato sauce to sell at a craft fair. He makes it in 5 gallon batches. How many pint jars does he need to hold 5 gallons of sauce?
Answers
By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.
How many pint jars does he need?
We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.
We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.
Remember the relation:
1 gallon = 8 pints.
So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:
5*8 pint jars = 40 pint jars.
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A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
8 ≤ 2m Find variable of m
Please show your work
Answers
Answer:
m ≥ 4
Step-by-step explanation:
8 ≤ 2m
8/2 ≤ m
4 ≤ m
m ≥ 4
MATH QUESTION! WHAT IS THE ANSWER?
Answers
The value of the exponent equation (2x⁴y⁷)² yields 4x⁸y¹⁴
How to solve an equationAn equation is used to show the relationship between two or more numbers and variables.
Given the polynomial:
(2x⁴y⁷)²
Separating each variable gives:
(2 * x⁴ * y⁷)²
Applying the law of exponents gives:
2² * (x⁴)² * (y⁷)²
= 4 * x⁸ * y¹⁴
= 4x⁸y¹⁴
(2x⁴y⁷)² yields 4x⁸y¹⁴
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Place the numbers in order from greatest to least.
90.98
90.089
90.9
89.89
90
Answers
Answer:
Step-by-step explanation:
90.98
90.9
90.089
90
89.89
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Answers
Answer:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Step-by-step explanation:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answers
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
how much did each care package weigh?
Answers
1. Let the variable be x, which will be the weight of each box.
2. The equation would be total = weight of each box multiplied by the number of boxes and then that gets added to the 7 pounds
52 = 4x + 7
3. 52 = 4x + 7
Subtract 7 from both sides:
45 = 4x
Divide both sides by 4:
X = 45/4
X = 11.25
4. The weight of each care package was 11.25 pounds.
What is the rectangular form of 12(cos(Pi) + isin(Pi))?
Answers
The rectangular form of the complex number 12(cos(π) + isin(π)) is -12 + 0i.
To convert a complex number from polar form to rectangular form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x). In this case, we have 12(cos(π) + isin(π)).
Since cos(π) = -1 and sin(π) = 0, we can substitute these values into the expression:
12(cos(π) + isin(π)) = 12(-1 + 0i) = -12 + 0i
In the rectangular form, a complex number is expressed as a combination of a real part (the coefficient of the real unit, represented as "a") and an imaginary part (the coefficient of the imaginary unit, represented as "bi").
In this case, the real part is -12 and the imaginary part is 0. The imaginary part is multiplied by the imaginary unit "i," which results in 0i. Therefore, the rectangular form of 12(cos(π) + isin(π)) is -12 + 0i.
In simpler terms, the rectangular form represents the complex number on the real number line (horizontal axis) and the imaginary number line (vertical axis). In this case, the complex number is purely real, as the imaginary part is 0, so it lies entirely on the real axis at -12.
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Ok now what do I press?
Answers
Answer:
Notification
Step-by-step explanation:
What number is 36% of 50
Answers
Answer:
72
Step-by-step explanation:
36:50*100 =
( 36*100):50 =
3600:50 = 72
Answer:
18
Step-by-step explanation:
Turn the percentage into a decimal and multiply.
36% = 0.36
50 * 0.36 = 18
Best of Luck!
Can you please help me with number 7 I really don’t understand
Answers
Answer to b) the smallest numbers would be 3 and 2 because (3x8=24) and (2x12=24) making both x values the same 24x
Step by step for elimination method
So this is what you do, multiply the 1st equation by 3 and the 2nd equation by 2 so your x values are the same
3(8x + 15y = 58) = 24x + 45y = 174
2(12x - 9y = 150) = 24x - 18y = 300
Subtract your new equations
63y = -126
Divide by 63 to solve for y
y = -2
It is advertised that the average braking distance for a small car traveling at 75 miles per hour equals 124 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 37 small cars at 75 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 22 feet.
Answers
Answer:
\(z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318\)
The p value would be given by this probability:
\(p_v =2*P(z<-3.318)=0.0009\)
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft
Step-by-step explanation:
Data given and notation
\(\bar X=112\) represent the sample mean
\(\sigma =22\) represent the population standard deviation
\(n=37\) sample size
\(\mu_o =124\) represent the value that we want to test
z would represent the statistic (variable of interest)
\(p_v\) represent the p value
Hypothesis to test
We want to check the following system of hypothesis:
Null hypothesis: \(\mu = 124\)
Alternative hypothesis :\(\mu \neq 124\)
The statistic is given by:
\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\) (1)
Replacing the info given we got:
\(z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318\)
The p value would be given by this probability:
\(p_v =2*P(z<-3.318)=0.0009\)
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft