Answer:
The answer is d.
Step-by-step explanation:
[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\x-3=0; x=3\\x-4=0; x=4\\(3,4)[/tex]
please answer this question
Answer:
r = 1.7389 in
Step-by-step explanation:
(A) Volume of hollow block = 540 in^3
(B) volume of block without Hollows = b×d×h
= 6 ×16 ×8
= 768 in^3
(C) volume of 3 hollows = 3 ×( pi ×r^2 h)
= 3 ×( pi ×r^2 ×8)
= 24 ×pi ×r^2
solve,
A = B - C
540 = 768- (24 ×pi ×r^2)
r^2 = (768- 540) / 24 pi
r = root(3.023943919)
r = 1.7389 in
A child learns new words very quickly, but their vocabulary grows slower as they grow up. There is no upper-limit to the size of a person's vocabulary, so a logarithmic growth model is reasonable. The number of words can be related to the child's age (in months) according to the following formula: W(m)=10,000 ⋅ log(m) − 13,000
where m is the number of months in a person's age.
How many vocabulary words would a person have after 20 years (240 months) ?
A. 10.3
B. 10,802
C. 21.1
D. 13,000
Answer:
I think it's A I hope I'm right, Sorry if I'm wrong. :)
Step-by-step explanation:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 54.0 minutes. Find the probability that a given class period runs between 50.75 and 51.75 minutes.
Find the probability of selecting a class that runs between and minutes.
Answer: 0.050
I just did it and I got it right.
The probability of selecting a class that runs between 51.0 and 52.5 minutes is 0.3 or 30%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Since the lengths of the classes are uniformly distributed between 49.0 and 54.0 minutes, the probability of a class running between any two values within this range is proportional to the length of the interval between these two values.
The total length of the possible class periods is:
54.0 minutes - 49.0 minutes
= 5.0 minutes
So, the probability of a randomly selected class running between 50.75 and 51.75 minutes can be calculated as follows:
Length of the interval
= 51.75 minutes - 50.75 minutes
= 1.0 minute
Probability = (Length of the interval) / (Total length of possible class periods)
Probability = 1.0 minute / 5.0 minutes
Probability = 0.2
Therefore, the probability of a given class period running between 50.75 and 51.75 minutes is 0.2 or 20%.
Similarly, the probability of selecting a class that runs between a and b minutes, where a and b are between 49.0 and 54.0 minutes and a < b, is given by:
Probability = (Length of the interval between a and b) / (Total length of possible class periods)
Probability = (b - a) / 5.0
For example, if we want to the probability of selecting a class that runs between 51.0 and 52.5 minutes, we would have:
Probability = (52.5 - 51.0) / 5.0
Probability = 0.3 or 30%
Thus,
The probability of selecting a class that runs between 51.0 and 52.5 minutes is 0.3 or 30%.
Learn more about probability here:
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Write an expression for the perimeter of the triangle shown below:
(linked)
A: 10x − 9
B: 10x − 39
C: 5.5x − 9
D: 5.5x + 9
I don't normally ask questions so ill just give 100 points to who can answer this
Solution:
The perimeter of the triangle is basically the sum of its sides.
[tex]\rightarrow P = (0.3x + 24) + (5x) + (0.2x - 15)[/tex]
Open the parenthesis:
[tex]\rightarrow P = 0.3x + 24 + 5x + 0.2x - 15[/tex]
Combine like terms:
[tex]\rightarrow P = x(0.3 + 0.2 + 5) + (24 - 15)[/tex]
Simplify the equation:
[tex]\rightarrow P = x(5.5) + (9)[/tex]
Further simplify:
[tex]\rightarrow P = 5.5x + 9[/tex]
Option D is correct.
Perimeter=Sum of three sides
Perimeter:-
[tex]\\ \rm\Rrightarrow 0.3x+24+5x+0.2x-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+24-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+9[/tex]
Point P partitions directed line segment AB in the ratio of 3 to 4. If A(-9, -9) and B(5,-2), find the coordinates of point P.
(-2,-4)
(11, 1)
(-1, - 5)
(-3, -6)
Answer:
(-3, -6)
Step-by-step explanation:
The coordinate of point P is, (- 3, - 6)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Point P partitions directed line segment AB in the ratio of 3 to 4.
And, A (-9, -9) and B (5,-2).
Now, The coordinate of Point P is find as;
⇒ P (x, y) = (3×5 + 4×- 9/ (3+ 4) , 3×-2 + 4×- 9 / (3 + 4) )
= (15 - 36/7 , - 6 - 36/7)
= (- 21/7, - 42/7)
= (- 3, - 6)
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Complete the statement with <, >, or =.
Answer:
<
Step-by-step explanation:
If they were positive it would be square root of 50 but its a larger negative njmber
PLEASE ANSWER AS SOON AS POSSIBLE
Which phrase best completes the diagram?
A: Built advanced sewer systems
An angle measures 132.6 more than the measure of a supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
If the angle measures x, then the supplement measures 180-x.
This means x-132.6=180-x, and thus x=156.3
This means the angles measure 156.3 and 23.7 degrees.
Solve for x: -2x - 5 = 4
Answer:
x=−20
Step-by-step explanation:
Step by Step Solution:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/5-(-4)=0
Step by step solution :
STEP
1
:
x
Simplify —
5
Equation at the end of step
1
:
x
— - -4 = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
-4 -4 • 5
-4 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (-4 • 5) x + 20
———————————— = ——————
5 5
Equation at the end of step
2
:
x + 20
—————— = 0
5
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x+20
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x+20 = 0
Solving a Single Variable Equation:
3.2 Solve : x+20 = 0
Subtract 20 from both sides of the equation :
x = -20
One solution was found :
x = -20
Answer:
x=-4.5 or -9/2
Step-by-step explanation:
The first step is to isolate x to do this you add 5 to both sides which then gives you -2x=9 the next step is to divide by negative 2 which would give you -9/2 which simplifies to -4.5.
The Wares want to buy a new computer. The regular price is $1049.the store is offering 20% discount and a sales tax of 5.25% is added after the discount .what is the total cost?
Answer:
$883.26
Step-by-step explanation:
Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :
1,049(0.2)=$209.8
After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :
$1049-$209.8=$839.2
Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.
To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:
$839.2(5.25%)=$44.058
Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2
$839.2+$44.06=$883.26
The final cost of the computer is $883.26
HELP DUE LATER TODAY:The temperature outside dropped 13°F in 6 hours. The final temperature was -4°F. What
was the starting temperature?
Answer:the answer is 9
Step-by-step
If you subtract 13 by 4 it’s 9
3y - 15 = -21
What is y?
Answer:
y= -2
Step-by-step explanation:
3y -15 =-21
add 15 to both sides
-15+ 15 =0 , -21+ 15 = -6
so we have
3y= -6
isolate y by dividing by 3 to each side and get
y=-2
Have a great day!
Grayson’s car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?
Answer:
45 miles
Step-by-step explanation:
first divide 30 by 2
it would equal 15
then multiply 3 by 15
you get 45
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
48 Ft
Step-by-step explanation:
If the base is a square than you figure out what number multiplied by itself is equal to 144 and since a square has 4 side you do 12x4 which equals 48. P.S. 12x12 is 144!
Hope that helped!
What do you mean by decentralisation
hey pplsss
Step-by-step explanation:
its most general term, decentralization refers to the transfer of authority from a central government to a sub-national entity.
Answer:
Decentralization or decentralisation is the process by which the activities of an organization, particularly those regarding planning and decision making, are distributed or delegated away from a central, authoritative location or group.
Step-by-step explanation:
“Decentralisation means the division of a group of functions and activities into relatively autonomous units with overall authority and responsibility for their operation delegate to time of cacti unit.’
Help help help help
Answer:
x=1
y=-2
Step-by-step explanation:
I explained the answer to the question in the photo
what is 3=3 please help please
Answer:
that will be 1 because what 3 divided 3
Step-by-step explanation:
-5m + m + 5 Will give brainliest!
Answer:
m=4/5
Step-by-step explanation:
YOUR WELCOME
Solve by elimination.
4x + 9y
28
- 4x - y = -28
0.(-7,0)
(6,0)
O (7,0)
O (-6,0)
Answer:
(7,0)
Step-by-step explanation:
By Multiplying 4 and 7 (aka x), it will equal 28.
Multiplying 9 and y, (aka 0) , it will equal to 0
4(7)+9(0)=28
multiplying -4 by 7 will equal to -28 ,minus y which is 0, total will be -28
A cheetah typically runs 15 miles in 1/5 hours. How fast does a cheetah runs in miles/hour
Answer:
75 miles/hour
Step-by-step explanation:
Cheetahs run 15 miles in 1/5 hours. To get it to be a full hour, you multiply 1/5 by 5. You will also have to multiply 15 by 5 to get the number of miles per hour, and you get 75. Cheetahs can run 75 miles in 1 hour.
Answer:
75 miles per hour
Step-by-step explanation:
ok wooo first question answered so don't trust me too much
so basically we need to find how many miles he runs in one hour and we have 1/5
so multiply 15 by 5
75
boom
I don't know if your teacher wants you to do it in a different way so here's a little explanation on how teachers normally want you to do it
you take 1=x and 1/5=15 and stack then then cross multiply
1/5 15
1 x
Mifflin Paper Company just upgraded to a heavier cardstock paper for its $42.00
business cards. To compensate for the increase in quality, Mifflin Paper Company is
raising its prices by 19%. What is the new price of business cards?
Answer:
49.98
Step-by-step explanation:
what is the probability and odd for 7/16
Step-by-step explanation:
7,9,11,13,15,
( 7+ 16) + 5/23
24/ 28
What is the ratio of apples and bananas. Choose 1 answer
(A) 3:4
(B) 4:3
(C) 3:7
(D) 7:3
angle A and angle B are supplementary. mA = (3x + 6), mB = (4x + 20). Find the measure of each angle.
Answer:
Step-by-step explanation:
3x + 6 + 4x + 20 = 180
7x + 26 = 180
7x = 154
x = 22
mA= 3(22)+6 =66+6 = 72°
mB= 4(22)+20 = 88 + 20 = 108°
Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?
Answer:
the first
0 5
5 0
Step-by-step explanation:
the question should be : "which describes a POSSIBLE domain and range definition of the function and is inverse ?"
because this is just a matter of definition. the function itself would not suggest any limits.
and in that regard the function definition is basically irrelevant.
the domain of any basic function is the range of the inverse, and the range of the basic function is the domain of the inverse.
so, the second set of definitions is not possible, if we are really trying to define the inverse function.
Please help due today
I NEED HELP! 1ST GETS BRAINILIEST!
a certain type of water bottle holds 3/5 liter of liquid. how many of these bottles could be filled from 9/10 of a liter of juice?
Answer:
The answer should be 1.5 I think if I did my math right
Step-by-step explanation:
Help help math math math
Answer:
[tex]\displaystyle y - 5 = -2(x - 2)[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [2, 5] \\ \\ \boxed{y - 5 = -2(x - 2)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
Answer:
hi
Step-by-step explanation:
Prove triangle congruence.
Answer:
Step-by-step explanation:
1
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
Overtime hours
0
2 3 4 5 6
Employees
8 10 33 53 43 25 19
(a) Construct a probability distribution
(b) Graph the probability distribution using a histogram and describe its shape.
(a) Construct the probability distribution by completing the table below.
1
2
3
4
5
6
P(x)
1
(Round to three decimal places as needed.)
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of overtime hours worked in one week per employee.
(a)
The probability distribution is as follows:
X Frequency P(X)
0 8 0.042
1 10 0.052
2 33 0.173
3 53 0.277
4 43 0.225
5 25 0.131
6 19 0.099
191 1.000
(b)
Construct the histogram in Excel.
The histogram is approximately symmetric as maximum data is collected in the middle.