Answer:
-33/4 or -8 1/4
Step-by-step explanation:
Make similar terms:
-5/4 - 28/4: then solve
-5 - 28 = -33: put over 4
-33/4: simplify
-8 1/4
Pls answer! this problem
Answer:
9k + 36 represents the perimeter of the triangle.
Step-by-step explanation:
Have a nice day!
Graph the equation.
y=4x^2+8x+7y=4x
2
+8x+7
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
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 equation is,
⇒ y = 4x² + 8x + 7
Now,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).
So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).
Therefore,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
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Express 3.23×10 ^6
in standard decimal notation.
The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.
In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.
Calculating the multiplication, we have:
3.23 × 1,000,000 = 3,230,000.
Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.
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Angle Measurements
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the
value of x in the image below.
(3x + 10)
47°
Answer:
X = 11
Complementary angles
Step-by-step explanation:
Complementary angles are when two angles add up to 90 degrees.
3x + 10 + 47 = 90
3x + 10 = 43
3x = 33
x = 11
can someone help me with this
Answer:
29
Step-by-step explanation:
The slope between the points (0, 4) (-2, 0) is m
Answer:
2
Step-by-step explanation:
4-0/0+2
4/2
2
The slope between the points (0, 4) (-2, 0) is m = 2
What is the slope of the line?"The slope of the line passing through points \((x_1,y_1),(x_2,y_2)\) is \(m=\frac{y_2-y_1}{x_2-x_1}\)"
For given question
We need to find the slope between the points (0, 4) (-2, 0)
Let \((x_1,y_1)=(0,4),(x_2,y_2)=(-2,0)\)
Using slope formula,
\(\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{0-4}{-2-0}\\\\\Rightarrow m=\frac{-4}{-2}\\\\\Rightarrow m=2\)
Therefore, the slope between the points (0, 4) (-2, 0) is m = 2
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can anyone explain theoretical and experimental portability because math is so difficult
Answer:
Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out.
Step-by-step explanation:
Which of the following is an equation of the line that is parallel to the x-axis and contains (3,-5)
a
y = 3
b
x = -5
c
x =3
d
y = -5
Answer:
c-x=3
Step-by-step explanation:
c-x=3
becausw i took test already
before leaving for work, victor checks the weather report in order to decide whether to carry an umbrella. on any given day, with probability 0.2 the forecast is "rain" and with probability 0.8 the forecast is "no rain". if the forecast is "rain", the probability of actually having rain on that day is 0.8. on the other hand, if the forecast is "no rain", the probability of actually raining is 0.1.
The probability of Victor carrying an umbrella on any given day is: P(C|A) * 1 + P(C|B) * 0 = 0.64 * 1 + 0.04 * 0 = 0.64 In other words, Victor will carry an umbrella on any given day with a probability of 0.64 or 64%.
Before leaving for work, Victor checks the weather report in order to decide whether to carry an umbrella. On any given day, with probability 0.2 the forecast is "rain" and with probability 0.8 the forecast is "no rain". If the forecast is "rain", the probability of actually having rain on that day is 0.8. On the other hand, if the forecast is "no rain", the probability of actually raining is 0.1.
In order to find out the probability of Victor taking an umbrella on any given day, we can consider the following events:A = Forecast is "Rain"B = Forecast is "No Rain"C = Rain on that dayWe want to find out P(C) which is the probability of actually having rain on that day.
Using Bayes' Theorem, we can find the probability of C given A:
P(C|A) = P(A|C)P(C) / [P(A|C)P(C) + P(A|C')P(C')]P(C|A)
= 0.8 * 0.2 / [0.8 * 0.2 + 0.1 * 0.8]
= 0.64
Similarly, we can find the probability of C given B:
P(C|B) = P(B|C)P(C) / [P(B|C)P(C) + P(B|C')P(C')]P(C|B)
= 0.1 * 0.8 / [0.1 * 0.8 + 0.9 * 0.2]
= 0.04
Therefore, the probability of Victor carrying an umbrella on any given day is:
P(C|A) * 1 + P(C|B) * 0
= 0.64 * 1 + 0.04 * 0
= 0.64
In other words, Victor will carry an umbrella on any given day with a probability of 0.64 or 64%.
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0.75(8+e)=2-1.25e
Solve for e please
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
pls help there are 5 pics with multiple questions inside of them pls thank you
Answer:
1. LHJ
2. AB
3. Acute
4. Complement 30, supplement 120
5. AOD
6. 61
7. acute
8. 36
9. Octogon
Step-by-step explanation:
prove. sin³A-cos³A/sinA-cosA = 1+sinAcosA
Answer:
\( \frac{ \sin {}^{3} A - \cos {}^{3} A }{ \sin A - \cos A} \\ \\ { \sf{ = \frac{ {( \sin A - \cos A)}^{3} + 3 \sin A \cos A( \sin A - \cos A)}{ \sin A - \cos A} }} \\ \\ = { {( \sin A - \cos A)}^{2} + 3 \sin A \cos A} \\ { \sf{ = ( \sin {}^{2} A + \cos {}^{2} A) - 2 \sin A \cos A + 3\sin A \cos A}} \\ = { \sf{1 +\sin A \cos A }} \)
#hence proved
what is the answer? A B C D
Answer:
b
Step-by-step explanation:
What is the length of the side labelled t
Answer: t = 10m
Step-by-step explanation:
We know the lengths of the two legs, but not the length of the hypotenuse. To calculate this, we use the Pythagorean Theorem: a^2 + b^2 = c^2.
So (6)^2 + (8)^2 = (t)^2
36 + 64 = t^2
100 = t^2
sqrt (100) = sqrt (t^2)
t = 10
*sqrt = square root
I’m failing all my classes please help
Answer:
b
Step-by-step explanation:
T/F : Find a 3 by 3 matrix A which is not invertible, but where no two columns are scalar multiples of each other, and no two rows are scalar multiples of each other
False.
It is not possible to find a 3 by 3 matrix A which is not invertible, but where no two columns are scalar multiples of each other, and no two rows are scalar multiples of each other.
It is not possible to find a 3 by 3 matrix A which is not invertible, but where no two columns are scalar multiples of each other, and no two rows are scalar multiples of each other.
This is because if no two columns of A are scalar multiples of each other, then the columns are linearly independent, and the rank of A is at least 3. Similarly, if no two rows of A are scalar multiples of each other, then the rows are linearly independent, and the rank of A is also at least 3. Since A is a 3 by 3 matrix, it follows that the rank of A is at most 3. Therefore, the only way for A to have rank 3 is for A to be invertible.
So, any 3 by 3 matrix A that is not invertible must have either two columns that are scalar multiples of each other, or two rows that are scalar multiples of each other.
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write the function in standard form y=-(x+3)(x+7)
To write this in standard form we need to multiply the two terms in parenthesis on the right side of the equation.
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
y
=
−
3
(
x
−
7
)
(
x
+
4
)
becomes:
y
=
−
3
(
(
x
×
x
)
+
(
x
×
4
)
−
(
7
×
x
)
−
(
7
×
4
)
)
y
=
−
3
(
x
2
+
4
x
−
7
x
−
28
)
We can now combine like terms:
y
=
−
3
(
x
2
+
(
4
−
7
)
x
−
28
)
y
=
−
3
(
x
2
−
3
x
−
28
)
We can now multiply each term in parenthesis by
−
3
:
y
=
(
−
3
×
x
2
)
−
(
−
3
×
3
x
)
−
(
−
3
×
28
)
y=−3x2+9x+84
p
6(8-2x)=4x what is the answer to this equation?
6(8-2x)=4x
First, apply distributive property:
6 (8)+ 6 (-2x) = 4x
48-12x =4x
Move the "x" terms to the right:
48 = 4x+12x
Combine like terms
48 = 16 x
Divide both sides of the equation by 16:
48/16 = 16x/16
3 = x
x = 3
4(2m - 5) = 2(3m-4)
Whats the value of m?
Step-by-step explanation:
Use the Distributive Property:
\(8m - 20 = 6m - 8\)
Subtract 6m from both sides:
\(2m - 20 = - 8\)
Add 20 to both sides:
\(2m = 12\)
Divide each side by 2:
\(m = 6\)
Answer:m=6
Step-by-step explanation:
How far can you travel at an average speed of 54mph over 3hrs?
Answer:
162 miles
Step-by-step explanation:
54(3) = 162
Answer:
162 miles?
Step-by-step explanation:
Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.
We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.
In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.
Thus, we need to use the t-distribution to construct the confidence interval.
The formula for the confidence interval is as follows:
Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368
Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).
This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
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Consider the line 9x - 5y = 2
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
5y=9x-2
y=mx-b
m=slope
y=9/5x-2/5
m=9/5=1.8 slope of pArallel
slope of pARALLEL=-1/M SLOPE OF A LINE PERPENDICULAR
m=-5/9 slope of a line perpendiculr
eva measures 15.9cm she uses a calculator to work out the are she says the areamis 198.5565097cm^2 Round to the appropriate degree of accuracy
If 5x - 6 equals 10, what is the value of 10x -12?
Answer:
20
Step-by-step explanation:
First solve the first equation:
5x-6=10
+6 +6
5x/5=16/5
x=3.2
Then apply the value of x to the current equation:
10 *3.2-12
=20
Answer:
20
Step-by-step explanation:
5x-6=10
-6+6 10+6
5x=16
5/5 16/5
x=3.2
10(3.2)-12
32-12
20
The probability rate in a certain group is 3. 5. Determine the probability that a batch will trst negative.
hey does anyone know the answer to this?!
Answer:
the answer to your question is yes, but the answer to #21 is ;
mn
pn
ml
lp
Step-by-step explanation:
hurry plz help
what does S=
Answer:
22.
Step-by-step explanation:
A striaght line is 180 degrees. you already have 158 degrees on line a meaning there is 22 degrees left before 180.
find the limit (if it exists). lim x→6 f(x) , where f(x)= x2 − 7x 4
if x < 6 −x2, 7x − 8 if x ≥ 6
The limit does not exist. The left and right limits as x approaches 6 are different, so the overall limit does not exist. The function "jumps" at x = 6.
Consider the left and right limits as x approaches 6:
lim x→6- f(x) = lim x→6- (x² - 7x)/4 = (-6)/4 = -3/2lim x→6+ f(x) = lim x→6+ (-x² + 7x - 8) = -26Since the left and right limits are different, the overall limit does not exist. Intuitively, this is because the function "jumps" at x = 6, taking on very different values on either side of the point. Therefore, the limit as x approaches 6 does not exist.
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Isaac makes china mugs with names painted on them. He charges a fixed fee for the mug, together with a fixed charge for each letter in the name. Penelope buys a mug for each of her children, Alexander and Lucia. She pays $12.60 for Alexander’s mug and $9.40 for Lucia’s mug. How much would Penelope have to pay for a mug with her own name on it?
Answer:
Not completely sure, and I know its late but for the other people that look at this, 11.80$
Step-by-step explanation:
I found how many more letters Alexander had over Lucia, then when I got 4 divided it in-between 12.60 - 9.40 (3.20) I got 0.8. knowing the letter cost i got the initial fee for the mug (5.40) and added 8x0.8 to it, resulting in my answer 11.80$
Penelope has to pay $11.8 for a mug with her own name on it.
Number of letters in Alexander's name = 9
Number of letters in Lucia's name =5
The Difference in the number of letters in both the names
= 9-5
=4 letters
Alexander pays = $12.60
Lucia pays = $9.40
Difference in payments = 12.60-9.40 = $3.20
It means charge for 4 letters = $3.20
So, charge for 1 letter = $0.80
Number of letters in Penelope's name = 8
So, Penelope will pay = 8*0.80 +fixed fee for the mug
= $6.4 +fixed fee for the mug
What will be the fixed fee for the mug?The Fixed fee for the mug will be the payment done by Penelope for either Alexander or Lucia minus the charge for each word in the word Alexander or Lucia respectively.
The Fixed fee for the mug = $9.40 - charge for each word in the word "Lucia"
The Fixed fee for the mug = 9.40 - 5*0.80 = $5.40
So, Penelope will pay = 6.4 +5.4 =$11.8
Therefore, Penelope has to pay $11.8 for a mug with her own name on it.
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Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8