Answer:
4m^2-12m+9
Step-by-step explanation:
[tex](2m -3)^2[/tex]
[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]\left(2m-3\right)^2=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]
[tex]=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]=4m^2-12m+9[/tex]
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Answer:
[tex] \bf \longrightarrow \: ( {2m - 3)}^{2} [/tex]
Using Identity
[tex] \bf \longrightarrow \:(a - b) {}^{2} = { a}^{2} + {b}^{2} - 2ab[/tex]Let,
a = 2m
b = 3
Now
[tex] \sf \longrightarrow \:(2m) {}^{2} + {3}^{2} - 2(2m \times 3) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 2(6m) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 12m[/tex]
Therefore,
Your answer is 4m² + 9 - 12m .Find the value of the angle θ rounded to 1 DP.
Help asap
3.) Forty percent of a number is equal
to one-half the number decreased by
15. Which one can be used to
determine the number?
A 40x = – 15
B 40x > 2x – 15
C 0.40x< - 15
D 0.4x =x/2-15
Use the GCF and the distributive property to find the expression that is
equivalent to 48 + 56.
A. 8(6+7)
B. 4(12 + 14)
C. 12(4+5)
D. 6(8 + 9)
Answer:
It is either A or B because 48+56 equal 104 and A and B Both equal 104
Help!!!!!!!!!!!!!!!!!! Help plz!!!
Answer:
5 2/5
Step-by-step explanation:
Thats the answer kiddo.
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of 24 m, and it can hold 192 m’of liquid. If the second container has a height of 30 m, how much liquid can it hold?
Answer:
240m² of liquid
Step-by-step explanation:
[tex]\frac{192}{24}= 8[/tex]
30×8=240
A 24-ounce box of cornflakes costs $4.59. What is the unit rate?
Answer:
0.19 cents/ounce
Step-by-step explanation:
4.59 dollars/24 ounces = 0.19125 cents/ounce
rounded, the unit rate would be about:
0.19 cents/ounce
Rewrite 48 + 60 using the distributive property. but in the equation form
Jim just found a job with a take-home pay of $1,950 per month. He must pay $1,200 for rent and $200 for groceries each month. He also spends $200 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to put together emergency savings of $1,500?
Add all his expenses together:
1200 + 200 + 200 + 50 + 100 + 50 = $1,800
Subtract his expenses from his pay:
1950 - 1800 = 150
Divide how much the emergency savings is by the amount left over per month:
1500/150 = 10
it will take 10 months
help plss
Simplify.
14(1−23)2+13
Enter your answer, as a simplified fraction, in the box.
Answer:
-293
Step-by-step explanation:
14(1-23)2+13
PEMDAS
14(-22)2+13
-308 + 2 +13
-306
-293
hope this helps
help me with this please
Answer:
m(arc)PM = 139°
Step-by-step explanation:
m<N = (1/2)[m(arc)PM - m(arc)OM]
59 = (1/2)[m(arc)PM - 21]
118 = m(arc)PM - 21
m(arc)PM = 139°
A tank contains 50 liters of oil at time t = 4 hours. Oil is being pumped into the tank at a rate R(t) where R(t) is measured in liters per hour, and t is measured in hours. Selected values of R(t) are given in the table above. Using a right Riemann sum with three subintervals and data from the table, what is the approximation of the number of liters of oil that are in the tank at time t = 15 hours?
The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters.
How to estimate volume capacity by Riemann sumIn this question we must estimate the volume by Riemann sum, which consist in sum of all areas of the trapezoids of equal width in the volume rate versus time graph. The right Riemann sum with three intervals for this case is described below:
[tex]Q = \Sigma \limits_{i=0}^{2} \left\{R_{i}+\frac{1}{2}\cdot [R_{i+1}-R_{i}] \right\}\cdot \Delta t[/tex]
[tex]Q = \left[6.5+\frac{1}{2}\cdot (6.2-6.5) \right]\cdot (3.667)+\left[6.2+\frac{1}{2}\cdot (5.9-6.2)\right]\cdot (3.667) +\left[5.9+\frac{1}{2}\cdot (5.6-5.9) \right]\cdot (3.667)[/tex]
[tex]Q \approx 66.556\,L[/tex]
The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters. [tex]\blacksquare[/tex]
Remark
The table of the volume rate versus time is missing, all missing values of the table are included below:
[tex]R(4) = 6.5\,\frac{L}{h}[/tex], [tex]R(7.667) = 6.2\,\frac{L}{h}[/tex], [tex]R(11.333) = 5.9\,\frac{L}{h}[/tex], [tex]R(15) = 5.6\,\frac{L}{h}[/tex]
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It is about 30,000 light years from our solar system to the center of the milky way Galaxy. the solar system revolves around the center of the milky way with an angular velocity of about 2.6 * 10^-8 radians per year. what distance does the solar system travel in its orbit each year?
The solar system travels about [] light years each year.
Given that a light year is about 5.88 * 10^12 miles, how fast is the solar system circling the center of the Galaxy in miles per hour? Found your answer to the nearest ten thousand.
The solar system is circling the center of the galaxy at about [] mi/hr.
a. The solar system travels about 188495.56 light years each year.
b. the solar system is circling the center of the galaxy at about 520000 mi/hr
a. Distance solar system travels each year.
The solar system travels about 188495.56 light years each year.
Since the distance the solar system travel around the milky way is a circular orbit. The distance travelled is the circumference of a circle.
So, the circumference C = 2πr where
r = radius of circle = distance of solar system from center of milky wat = 30000 light yearsSo, C = 2πr
= 2π × 30000 light years
= 60000π light years
= 188495.56 light years
So, the solar system travels about 188495.56 light years each year.
b. Speed of solar systemThe solar system is circling the center of the galaxy at about 520000 mi/hr
The speed of the solar system circling the milky way is given by v = rω where
r = radius of orbit = 30000 light years = 30000 × 5.88 × 10¹² miles = 1.764 × 10¹⁷ miles and ω = angular velocity of solar system = 2.6 × 10⁻⁸ radians per year = 2.6 × 10⁻⁸ radians per year × 1year/365 days × 1 day/24 hours = 2.6 × 10⁻⁸ radians/8760 hour = 2.97 × 10⁻¹² radians per hourSo, substituting the values of the variables into the equation, we have
v = rω
v = 1.764 × 10¹⁷ miles × 2.97 × 10⁻¹² radians per hour
v = 5.23908 × 10⁵ miles/hour
v = 523908 miles/hour
v ≅ 520000 mi/hr to the nearest ten thousand
So, the solar system is circling the center of the galaxy at about 520000 mi/hr
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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
0.3
A. greater than 0.3
The Margin of error is 0.3 when assuming a 90% confidence level.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
MOE = z score * s/√n
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
here, we have,
It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.
It is required to find the margin of error when the confidence level is 90%.
We have in the question:
at 90% confidence interval = 1.645 (From the Z score table)
s = 2.9
n = 320
Put the above values in the formula, we get:
MOE = 0.2666
Rounding the nearest tenth:
MOE = 0.3
Thus, The Margin of error is 0.3 when assuming a 90% confidence level.
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Two boxes are shown below. The length and height of box 2 are double the length and height of box 1, and the widths are the same. The volume of box 1 is 252 cubic inches.What is the volume of box 2?
he width of a rectangular box is twice the height and the length is 7 inches more than the height. If the volume is 72 cubic inches
your welcome
have a good day or night
can someone please help i am stuck help ASAP if u know your wrong or not sure please dont answer
solve the following equation for g: 2(g - h)=b + 4
Answer:
The steps to do this :
[tex]2(g - h) = b + 4[/tex]
[tex]g - h = \frac{b + 4}{2} [/tex]
[tex]g = \frac{b + 4}{2} + h[/tex]
[tex]g = \frac{b}{2} + \frac{4}{2} + h[/tex]
[tex]g = \frac{b}{2} + 2 + h[/tex]
2(g - h)=b + 4
Use the distributive property on the left side:
2g - 2h = b +4
Add 2h to both sides:
2g = 2h + b + 4
Divide both sides by 2:
g = (2h + b + 4)/2
Simplify:
g = b/2 + 2 + h ( note the order of h, 2 and b/2 can be different)
You answer 30 out of 40 questions correctly on a test. Did you reach your goal of 80%
Answer:
No
Step-by-step explanation:
If you divide the numerator by the denominator, 30/40 equals 0.75 in decimal form, so you did not reach your goal of 0.80.
Answer:
No, You didn't reach you goal of 80%, You only got 75% on the test.
Step-by-step explanation:
Given;
You answer 30 out of 40 questions correctly on a test.
To Find;
Did you reach your goal of 80%
Solve;
30 ÷ 40 × 100
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]30\div \:40=\frac{30}{40}[/tex]
[tex]\frac{30}{40}\cdot100[/tex]
[tex]=75[/tex]
Hence, No you didn't reach your goal of 80%
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In a certain instant lottery game, the chances of a win are stated as "3 in 22 "Express the indicated degree of likelihood as a probability value between 0 and 1
Answer:
I`m not sure if it is asking for a fraction probability for decimal probability so I have both answers...
3/22 is the fraction form, since it cant be simplified
3 / 22 = .136
so that number rounded is .14
aka 14% chance of winning
The ratio 60:48 simplified
Answer:
5 : 4
Step-by-step explanation:
60 : 48 ( divide each part by 12 )
= 5 : 4 ← in simplest form
Answer:
[tex]5 : 4[/tex]
Step-by-step explanation:
[tex]\frac{60}{12}=\frac{48}{12}[/tex]
[tex]=5 : 4[/tex]
Find the length of lm
Answer:
The answer is C:41
Step-by-step explanation:
you have to set 6x-7 equal to 5x-1 which equals x=8 which now you replace x in 6x-7 with 8 which makes the equation 6(8)-7 which equals 41.
Answer:
Since M is the midpoint that means that LM is equal to MN so therefore
6x-7=5x+1
-5x from both sides
x-7=1
add 7 to both sides
x=8
then you substutie 8 for x in 6x-7
6(8)-7
solve!
41 - C
Hope this helps!
A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.
f(x)=_____
Answer:F(x) = 10x+30
Step-by-step explanation:
X=3
The function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
What is the linear equation in two variable?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
According to the given question
We have
Total number of problems in a math test = 7
Total points given to each problem if it is correct = 10
Every text taker receives points for taking a test = 30
Let x represents number of correct answers given by the test taker and f(x) be the total score earned by the test taker.
Now, the function or linear equation in two variable which represent the given scenario is
f(x) = 30 + 10x
Hence, the function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
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Find the value of f(3) for the function.
f(x)= -3 (x+3)
Answer:
the answer is -18
Step-by-step explanation:
- 3 (3 + 3 )- 3 × 6- 18Answer:
f(3)= -18
Step-by-step explanation:
f(x)= -3(x+3)
putting the value 3 in place of x
f(3)= -3(3+3)
or,f(3)= -3(6)
or,f(3)= -18
fractorise 2x - 12 pls
Answer:
[tex]2x - 12 \\ \\ = 2(x - 6)[/tex]
# Bora 7#
Answer:
the answer is -24
Step-by-step explanation:
2x (-12) = 2 times -12, which is -24
Can someone help me with this if you can? please and thank you! :)))
Answer:
The regular price is $38.69
Step-by-step explanation:
32.89 / 0.85 = 38.69411765
Order from least to greatest 1/5, 5/9, 1/2, 5/12
Answer:
1/5, 5/12, 1/2, 5/9
Step-by-step explanation:
Answer:
1/5, 5/12, 1/2, 5/9
Step-by-step explanation:
This should be the ans
How much is 10% of 10 liters of milk
Answer:
1 liter of milk
Step-by-step explanation:
Answer:
1 liter of milk
Step-by-step explanation:
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
(2, 3)
(1, –9)
(–3, –4)
(6, –13)
Answer:
(6, -13)
Step-by-step explanation:
The rule is (x+2, y-8) so,
4+2=6
-5-8=-13
That would give you (6, -13)
Hope this helps
8 − (7 − 4) + 12 x 2?
I got 34 but my calculator said that's wrong and its 21 but 21 isn't an answer nor is 34,
are any of these correct?? please help
A 29
B 11
C 14
D 19
Answer:
ok so first we have to do whats in the parethese so
8-3+12*2
then we do multiplycation
8-3+24
then we just do left to right
5+24=29
so a
Hope This Helps!!!
Answer:
A(29)
Step-by-step explanation:
First you do parenthesis.
what is 7 - 4 it=3
Next do 12 x 2 what is 12 x 2 it is 24 but don't do anything with it.
Now we go to subtraction and what is 8 - 3 it is 5.
Finally were going to do 5 + our 12 x 2.
what is 5 + 24 it is 29. And there's your answer.
The order for the is problem is P(parenthesis)
P| parenthesis
E| exponents
M,D| Multiplication and division left to right.
A,S| Addition and subtraction also left to right.
Again
_____
Answer is 29
_______
Hope it helps have a great day:)
Is 75/3 an integer? thanks
Answer:y
Step-by-step explanation:
Brainliest Given/Thanks/5 Star for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
Answer:
unbiased sample
Step-by-step explanation:
The population is divided into similar, nonoverlapping groups. A simple random sample then selected from each group.
A biased sample is the opposite of unbiased sample.
Answer:
[B] unbiased
Step-by-step explanation:
Let's first define each answer choice;
Biased sample: sample not representative of the entire population.
Unbiased sample: sample where every member of the population has an equal chance of being selected.
Convenience sample: sample where representatives are easily accessible.
Free sample: Sample of small amount
Thus, base on the define of the answer choices we can know that
[B] unbiased sample is the correct answer.
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Write the equation of the line that passes through the given point and has the given slope. (-4,1)
slope = -1/4
Answer:
[tex]_{\text{point-slope form}}[/tex]
[tex]\huge\boxed{y-1=-\dfrac{1}{4}(x+4)}[/tex]
[tex]_{\text{slope-intercept form}}[/tex]
[tex]\huge\boxed{y=-\dfrac{1}{4}x}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] - a slope
[tex](x_1 y_1)[/tex] - a point of a line
We have
[tex]m=-\dfrac{1}{4};\ (-4;\ 1)\to x_1=-4;\ y_1=1[/tex]
Substitute:
[tex]y-1=-\dfrac{1}{4}(x-(-4))\\\\y-1=-\dfrac{1}{4}(x+4)[/tex]
=============================================
[tex]y-1=-\dfrac{1}{4}(x+4)\qquad|\text{use the distributive property}\\\\y-1=-\dfrac{1}{4}x-1\qquad|\text{add 1 to both sides}\\\\y=-\dfrac{1}{4}x[/tex]