Answer:
2(6+x)
Step-by-step explanation:
1. Multiply the numbers
20+2x-8
2. Subtract the numbers
12+2x
3. Factor 2 from the expression
2(6+x)
Researchers recorded that a group of
bacteria grew from 125 to 2,500 in 24 hours. At this
rate of growth, how many bacteria will there be
in 35 hours from the start of the experiment? Round
to the nearest whole number.
Answer:
The number of bacteria grown in 35 hours is 15771
Step-by-step explanation:
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
To calculate number of bacteria grown in 14 hours :
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
To calculate number of bacteria grown in 1 hour :
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
To calculate number of bacteria grown in 32 hours :
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Hope this answer helps you :)
Have a great day
Mark brainliest
Chris is building a circular pool in his backyard for the
summer. The pool will have a circumference of 62.84 feet.
What will be the approximate diameter of the pool?
NEED HELP ASAP PLEASE
Answer:
[tex]d = 20ft[/tex]
Step-by-step explanation:
Given
[tex]C = 62.84ft[/tex] -- CIrcumference
Required
Determine the diameter
Circumference is calculated using:
[tex]C = \pi d[/tex]
Make d the subject
[tex]d = \frac{C}{\pi}[/tex]
So, we have:
[tex]d = \frac{62.84}{3.14}[/tex]
[tex]d = 20ft[/tex] --- approximated
Divide (-3х + 4 + 18х^2 )by (5 + 6x)
Answer:
The division will be represented as:
[tex]\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}[/tex]
Step-by-step explanation:
1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.
Now, let's subtstract:
[tex](18x^{2}-3x+4)-(18x^{2}+15x)=-18x+4[/tex]
2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.
Now, let's subtstract:
[tex](-18x+4)-(-18x-15)=19[/tex]
Therefore, the division will be represented as:
[tex]\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}[/tex]
I hope it helps you!
Y=3/4 x tell me the answer
Answer:
Multiple 3/4 by one of the inputs, then you get the output on the adjacent side.
Step-by-step explanation:
It says the function rule is 3/4 x X , and x is the input.
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that [tex]m = \frac{3}{4}[/tex], and thus:
[tex]y = \frac{3}{4}x + b[/tex]
(6,3)
This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So
[tex]y = \frac{3}{4}x + b[/tex]
[tex]3 = \frac{3}{4}(6) + b[/tex]
[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]
So
[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]
(-6, r)
r is y when [tex]x = -6[/tex]. So
[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]
So r = -6.
6(8 - 2n) = 2n + 6
Select One:
3
0
-4
-7
Answer:
what I think it is it's -4
Answer:
n = 3
Step-by-step explanation:
6(8 - 2n) = 2n + 6
48 - 12n = 2n + 6
-12n - 2n = 6 - 48
-14n = -42
n = -42/-14
n = 3
I need help asap i will give brainlist
Find the slope of the line through each pair of points.
(4.-4). (14, -13)
Answer:
X2 -X1 / Y2 - Y1
Step-by-step explanation:
14- 4 / (-13) - (-4)
10/-9
Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have a mean of 50 minutes and a standard deviation of 20 minutes. How long does a customer spend at Little’s Law Firm on average?
Answer:
On average, customer spends approximately 98 min at Little’s Law Firm
Step-by-step explanation:
Given the data in the question;
Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute
Service rate δ = 1 / 50 min = 0.02 per minute
Standard deviation σ = 20 min
Now,
Utilization rate U = Arrival rate / Service rate
U = 0.0125 / 0.02
Utilization rate = 0.625
Number of people in Queue will be;
⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )
we substitute
⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )
⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )
⇒ 0.453125 / 0.75
Number of people in Queue = 0.6042
Now
Wait in the Queue = Number of people in Queue / λ
= 0.6042 / 0.0125 = 48.336
Wait Time in Office = Wait in the Queue + ( 1 / δ )
= 48.336 + ( 1 / 0.02 )
= 48.336 + 50
Wait Time in Office = 98.336 ≈ 98 min
Therefore, On average, customer spends approximately 98 min at Little’s Law Firm
Express the following decimal as a fraction. ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
that would be 67/125 easy
Answer:
537/1000
Step-by-step explanation:
that number rounded is 0.537 because every number after is a 6 so you round it up and it cannot be simplified any further
-11+(-6)=
Negative 11 to -6 in parentheses equals
Answer:
-17
Step-by-step explanation:
its just -11-6
Given () = 3 + 2, what is the value of (2)?
Answer:5
Step-by-step explanation:
The volume of a cone is 202.92 cubic units. If a cylinder has the same height and radius as the cone what is volume in cubic units
Given :
The volume of a cone is 202.92 cubic units. The cylinder has the same height and radius as the cone.
To Find :
The length of height and radius .
Solution :
Volume of cone is given by :
[tex]V = \dfrac{\pi r^2 h}{3}\\\\V = \dfrac{\pi r^3}{3}\\\\r = \sqrt[3]{\dfrac{3V}{\pi}} \\\\r = \sqrt[3]{\dfrac{3 \times 202.92}{\pi}}\\\\r = 5.79 \ units[/tex]
Hence, this is the required solution.
What is probability? Give an example.
Answer:
just another way to say problem
Step-by-step explanation:
What’s the answer pls
Answer:
D
Step-by-step explanation:
speed = space/time
24/4.3 = 5.6 ft/s
cross section, the ratio of the area of the circle to 4 square, the volume of the cylinder equ ea of the square is ap? or 4 2. Cross section 2 o the volume of the prism or (a I the volume of the prism or (4 O I the volume of the prism or 12 o the volume of the prism or (4 h
Answer:
ya
Step-by-step explanation:
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90. In the end, how much money did the man make or lose? Or did he break even?
Answer:
The correct answer is that he made $20.
Step-by-step explanation:
A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90.
Answer:
He made 20 dollars
Step-by-step explanation:
Buying is negative and selling is positive
-60+70-80+90
+20
He made 20 dollars
Find the product of (x − 7)2
Answer:
the answer is 2x-14.
Step-by-step explanation:
because 2 multiply both the number 2 and x
Emily bought 33 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought inches of fabric.
PLEASE HELP!!!! What is the measure of angle BCD
Answer:
82° because
98° + 70° = 168°
360° - 168° = 192°
192° is for two angles, so it can't be 192°, 220°
it's not VERY obtuse angle. So it remains only 82°
plz i need help asap ill give brainliest Find the area of the shaded regions:
Green part is 56.548667772
Answer:
I think it's 19.72
Step-by-step explanation:
A = r²· a / 2
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
Please help!!
Need to get this done
Given:
Segment AD is perpendicular to segment BC.
D is the midpoint of segment BC.
To prove:
[tex]\Delta BDA\cong \Delta CDA[/tex]
Solution:
The two column proof is shown below:
Statements Reasons
1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex] 1. Given
2. [tex]\overline{BD}\cong \overline{CD}[/tex] 2. Definition of midpoint
3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex] 3. Definition of perpendicular lines
4. [tex]m\angle ADB=m\angle ADC[/tex] 4. Substitution
5. [tex]m\angle ADB\cong m\angle ADC[/tex] 5. Definition of congruence
6. [tex]\overline{AD}\cong \overline{AD}[/tex] 6. Reflexive property
7. [tex]\Delta BDA\cong \Delta CDA[/tex] 7. SAS congruence postulate
Hence proved.
A. Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) The set of whole numbers less than 9.
B. Use set-builder notation to write the following set.
{1, 4, 9, 16, 25, 36, 49, 64, 81}
{x | x is a positive square number less than or equal to 81}
{x | x is a positive square number less than or equal to 100}
{x | x is a positive number less than or equal to 9}
{x | x is a positive square number greater than or equal to 1}
none of these
C, State whether the given pair of sets are equal, equivalent, both, or neither.
{1, 2, 9}; {I, II, IX}
A. equal
B. equivalent
C. both
D. neither
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point A:
[tex]\{0,1,2,3,4,5,6,7,8\}[/tex]
For point B:
{x | x is the positive square number less than or equal to 81}
For point C:
All given sets were equal and equal, that since elements and the element no. are identical.
Can someone help me please I need the mode, median, range and the mean.?
Answer:
First the mode. Since 5 popped up the most, 5 is the mode.
Next is the median. I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.
After that the range. 9-2=7
Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9
=104/19=5.47
SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)
Find the equation of a line that contains the points (4, -2) and (-8, -1). Write the equation in slope-intercept form, using
fractions when required.
Answer:
y =−12 /1 x−3 /5
Solve the equation by factoring. X^2+2x-63=0
Answer:
x = -9 ; x = 7
Step-by-step explanation:
We have to find two numbers whose product is -63 and whose sum is 2
the two numbers are 9 and -7
(x+9)(x-7) = 0
x = -9
x = 7
Find the value of the expression below.
log5 25
O A. 2
OB. 0.5
O C. 125
O D. 5
Answer:
A.2
Step-by-step explanation:
log5(25)
log5(5²)
2
Members of a soccer team raised $2303 to go to a tournament. They rented a bus for
$765.50 and budgeted $61.50 per player for meals. Determine the number of players
the team can bring to the tournament.
Answer:
if iam not mistaking the answer would be 25