Answer:
(x+6)(x-2)
Step-by-step explanation:
you need to find 2 numbers with a sum of 4 and a product of -12, which is 6 and -2, then you factor it out.
It Takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take him to finisn reading 30 pages?
Answer:
135
Step-by-step explanation:
First, divide.
18 ÷ 4 = 4.5
Then, multiply.
4.5 × 30 = 135
Have a great day!
Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the
Answer:
[tex]\frac{6.3cm}{18cm}=0.35[/tex]
or 35%
cos(70°)=0.34
The difference in the result is because of the precision of the measurements.
Step-by-step explanation:
First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)
Next we take our protractor and measure 70°. (Picture 2)
Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)
Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)
And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)
[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]
which is the same as a 35%.
If we calculated the cos(70°) with our calculator we would get:
cos(70°)=0.34
As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51. Assume monthly gasoline bill amounts are normally distributed. The probability that his bill will be less than $50 a month or more than $150 for a single month is:
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]
Less than 50:
p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 125.32}{49.51}[/tex]
[tex]Z = -1.52[/tex]
[tex]Z = -1.52[/tex] has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 125.32}{49.51}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
What is the slope of the line that passes through the points (2, 3) and (8, 6)
Answer:
The slope of the line that passes through the points (2, 3) and (8, 6) is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex].
What is the value of cos pi/4?
Answer: -0.25
Step-by-step explanation:
Answer:
-0.25
Step-by-step explanation:
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
give the formula in finding the surface area of the cube
Answer:
A=6a²
Step-by-step explanation:
Lowercase a is the length of one side.
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
What is the arc measure of major arc ABC in degrees?
9514 1404 393
Answer:
249°
Step-by-step explanation:
Arc ABC = Arc AB + Arc BC
= 180° +69°
Arc ABC = 249°
The length of a rectangle is 5 centimeters less than 3 times its width. The perimeter of the rectangle is 6 times the rectangle's width. What is the width of the rectangle in centimeters?
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
A system has three possible states, 0, 1 and 2. Every hour it makes a transition to a different state, which is determined by a coin flip. For example, from state 0, it makes a transition to state 1 or state 2 with probabilities 0.5 and 0.5.
a. Find the transition probability matrix.
b. Find the three-step transition probability matrix.
c. Find the steady-state distribution of the Markov chain.
Answer:
Step-by-step explanation:
From the given information;
the transition probability matrix (TPM) for state 0, 1, 2 is:
[tex]P =\left[\begin{array}{ccc}0&0.5&0.5\\0.5&0&0.5\\0.5&0.5&0\end{array}\right][/tex]
The three-step TPM is done by a simple matrix multiplication which is computed as follows:
[tex]P^3 = \left[\begin{array}{ccc}0.250&0.3757 &0.375\\0.375&0.250&0.375\\0.375&0.375&0.250\end{array}\right][/tex]
The steady-state distribution of the Markov Chain is determined by first solving the system πp = π together with the normalizing condition
here;
π₁ + π₂ + π₃ = 1
So;
0.5π₂ + 0.5π₃ = π₁
⇒ π₂ + π₃ = 2π₁
0.5π₁ + 0.5π₃ = π₂
⇒ π₁ + π₃ = 2π₂
0.5π₁ + 0.5π₂ = π₃
⇒ π₁ + π₂ = 2π₃
Thus, π₁ + π₂ + π₃ = 1
This can be re-written as:
1 - π₁ = 2π₁
1 - π₂ = 2π₂
1 - π₃ = 2π₃
∴
1 = 3π₁
π₁ = 1/3
1 = 3π₂
π₂ = 1/3
1 = 3π₃
π₃ = 1/3
Hence, the steady-state probability distribution is π = [1/3, 1/3, 1/3]
Which function has the same domain as y = 2√x
Answer:
A. y=√2x
Step-by-step explanation:
Edge 2021
latoya made $80 for 5 hours of work. At the same rate, how much would she make for 13 hours of work
Answer:
$208
Step-by-step explanation:
First, divide.
80 ÷ 5 = 16
Next, multiply.
16 × 13 = 208
Lastly, have a wonderful day! :)
Answer:
At the same rate, Latoya would make $208 for 13 hours of work.
Step-by-step explanation:
Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of [tex]16 * 13 =[/tex] $208.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
38
The expression above can also be written in the form vb.
For this expression, a =
b=
and cu
Answer:
a = 3, b = 6, c = 5
Answers:
a = 3, b = 6, c = 5
==============================================
Explanation:
There's not much to say other that the rule we use is
[tex]\sqrt[c]{a^b} = a^{b/c}[/tex]
The c is the index of the root or radical. It's the denominator of the fractional exponent b/c. Comparing terms, we see that a = 3, b = 6 and c = 5.
You could simplify the a^b portion, but it seems like your teacher doesn't want that (right now).
-----------
Side notes:
if c = 2, then we have a square root and often the index number isn't shown at all. So [tex]\sqrt[2]{x} = \sqrt{x}[/tex]. Its only when c > 2 is when we can't drop the number, or else it'll get mistaken for a square root. If c = 1, then we won't have any radical. We'll have a^(b/c) = a^b if c = 1.Please help!!!!!!!!!!!!
Answer: 990 ways
Step-by-step explanation:
For the first chicken, there are 11 slots it could be, or 11. For the next chicken, there are 10 available, or 10. Same thing for the third chicken, with 9. Thus, simply do 11*10*9 to get 990.
Write exponential equation for geometric sequence where t(1)=140 and t(2)=98
Step-by-step explanation:
common ratio r = 98/140
first term a = 140
geometric sequence formula is an = ar^(n-1)
an = 98^(n-1)
where n is the number of terms in the sequence
Find the surface area of the solid figure represented by the given net.
10 cm
10 cm
25 cm 110 cm
10 cm
40 cm 2
250 cm 2
65 cm
2
90 cm 2
Answer:
65! :)
Step-by-step explanation:
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
can someone help me.?!
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
in a class of 24 students, how many different 3 person teams for a group project can the teacher make?
Answer:
The teacher can make 8 different 3 person teams
Step-by-step explanation:
Since there is a total of 24 students and the teacher wants to make as many 3 person groups as he/she can you would just do 24 divided by 3 which would equal 8 different teams of 3 people. So the teacher can make 8 different groups of 3 people
write the expression for when you translate the graph of y= |x+7| one unit to the left
HELP PLSSSS
Answer:
y = |x+8|
Step-by-step explanation:
Translating an absolute value graph one unit to the left means adding 1 inside the absolute value brackets.
Translating an absolute value graph one unit to the right means adding (-1) inside of the absolute value brackets.
Translating an absolute value graph one unit up means adding 1 outside the absolute value brackets.
Translating an absolute value graph one unit down means adding (-1) outside the absolute value brackets.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Line a is parallel to line b. If the
measure of Z7 is 114°, what is the
measure of Z1?
9514 1404 393
Answer:
114°
Step-by-step explanation:
Alternate exterior angles 1 and 7 are congruent. Angle 1 has the same measure as angle 7.
angle 1 = 114°
Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm
Answer:
6.4 cm
Step-by-step explanation:
i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm
i apologise if it is incorrect ^^
Answer:
Sq root of 41cm
Step-by-step explanation:
took the test
can someone please help I will do anything
Answer:
678.24 cubic centimeters
Step-by-step explanation:
6 boba drinks for $8.40 or 9 boba drinks for $9.95
Which one is a better deal?
Answer:
9 for $9.95
Step-by-step explanation:
Rationalize the denominator of the expression 2 - √ 3 / √ 6
Step-by-step explanation:
[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } [/tex]
Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \to \dfrac{ \sqrt{6}( 2 - \sqrt{3} )}{ {(\sqrt{6})}^{2} } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - \sqrt{18} }{ 6 } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - 3 \sqrt{2} }{ 6 } [/tex]
[tex] \to \dfrac{ \sqrt{6}}{3} - \dfrac{ \sqrt{2} }{ 2 } [/tex]
Hence, rationalised!Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
What is the area, in square inches, of the trapezoid below?
7.1 in
8 in
15.1 in
Answer:
If the height is 8 inches and the bases are 7.1 and 15.1 then the area is 88.8.
If its not just look up trapezoid area and input the correct values for height, base a, and base b.
Step-by-step explanation: