Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency
Answer:
b. Similar
Step-by-step explanation:
Although angles are congruent the triangles are not as sides need to be the same too. Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.
Because the angles are congruent and sizes are not shown they must be similar.
They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.
They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.
They are not fully congruent as we do not know there side measures so they have to be similar.
Answer:
B
Step-by-step explanation:
Two triangles are similar when they share at least two angles and the only difference is size.
Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
Not sure how to do these problems.
Answer:
5) 64
6) 39
Step-by-step explanation:
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
10
8
6
4
-6-7 6 4 4 -3 -2 -1 0
2 3 4 5 6
-4
-8
-
A. (-10,-2), (-3,-1), (-2, 0),(-1, 1), (6,2)
O B. (2, 10), (1,3), (0, 2), (-1,1),(-2,-6)
O C. (10,2), (3, 1), (2.0), (1,-1).(-6, -2)
O D. (-2, 10),(-1,3), (0,2), (1, 1), (2.-6)
Answer:
A
Step-by-step explanation:
took it on ap ex
The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
What is mean by 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;
The graphed function are shown in figure.
Now, All the points on the graph are,
⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)
Hence, The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
Thus, ''Option A'' is true.
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What is the value of 4³÷ 2³ ?
Answer:
2^3 or 8
Step-by-step explanation:
[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]
Hope this helps!
Answer:
8
Step-by-step explanation:
subtract because it is division
2³
=2x2x2
=8
hope it helps- can u pls mark as brainliest?
What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic
The type of function is Linear.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
x 5 10 15 20 25 30
y 6.5 13 19.5 26 32.5 39
As, we can see from the table that every time the the difference between two consecutive value is same.
Hence, the function is linear.
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10=|m+2| solve the equation
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)
So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:
L = 7*48in - 5*1.72in = 327.4 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.72in = 558.8 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:
L = 558.8 in + 327.4 in - 1.72in = 884.48 in
What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3x+8
O y=-3x + 6
O y=-x-8
O y=x-6
Answer:
y=x-6
Step-by-step explanation:
The x-intercept is found replacing y = 0, as follows:
Function: y = -3x + 8
x-intercept:
0 = -3x + 8
3x = 8
x = 8/3
Function: y = -3x + 6
x-intercept:
0 = -3x + 6
3x = 6
x = 6/3 = 2
Function: y = -x - 8
x-intercept:
0 = -x - 8
x = -8
Function: y = x - 6
x-intercept:
0 = x - 6
x = 6
The last option is the only one in which x-intercept is x = 6.
Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list
Answer:
A=20 B=23 C=17,19,23
Step-by-step explanation:
A=20
B=23
C=17,19,23
Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .
Answer:
Step-by-step explanation:
a1 = 5
common difference = 2nd term - 1st term= 14 -5 = 9
n = 31
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]
Answer:
i took the tests and the answer is d
the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH
Answer:
15.7
Step-by-step explanation:
3.14(5)
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10
Answer:
y = -4x+5
Step-by-step explanation:
I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5
Answer:
O y=-4x + 5
Step-by-step explanation:
I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:
"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.
"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.
"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.
"y=-4x + 5" should be the correct answer.
Please help me. Giving all these points for correct answer.
Answer:
7.722 cm^2.
Step-by-step explanation:
The area required is 1/4 of the difference of the area of the square and the circle.
The radius of the circle = 1/2 * 12 = 6 cm.
The area required = 1/4 * (12^2 - 3.142 * 6^2)
=7.722 cm^2.
Answer:
7.72500
Step-by-step explanation:
Here are the steps for and problem like this one.
Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)PLEASE HELP! SEE ATTACHMENT
it's algebra graphing
Answer:
a- g(x)= 4/5 x -3
b- slope is 4/5
c- vertical intercept is y= -3 when x=0
Step-by-step explanation:
Vertical compression : 4/5 f(x)
shift left you add f(x) +1
shift down you subtract : f(x)-1
the result is g(x) = 4/5 f(x) +1-4
The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.
Set up the system of equations and solve for how old Jan and George are now.
Answer:
J - Age of Jan
G - Age of George
J + G = 65
J+10 = 4(G+10)
Step-by-step explanation:
The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.
To find the length of FE subtract t E feom F
FE = 5-2 = 3 units long
question in attachment
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
What is 3 to the tenth power
Answer: 59049
Step-by-step explanation: 3 to the power of 10 = 310 = 59049.
( I hope this helped <3 )
The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.
How to find the tenth power of a number?The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:
Start with the base number, which is 3.
Multiply the base number by itself to the power of 1:
[tex]3^1[/tex] = 3
Continue multiplying the result by the base number for each subsequent power:
3² = 3 × 3 = 9
3³ = 3 × 3 × 3 = 27
[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81
[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187
[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561
[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683
[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049
Therefore, 3 raised to the power of 10 is equal to 59,049.
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A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
would you rather have 1 of 8 slices from a 10" pizza or 1 of 10 slices from a 14" pizza?
Help I need help on this it can be more than one
Answer:
same it is pretty blury unblur it
Step-by-step explanation:
what is 12000 mutiplyed by 180000
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
Would the answer be b an d for this
Answer:
PROBABLY A and maybe D... here's why
Step-by-step explanation:
i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!
i tried :) hope it helps!
Which graph represents the function h(x) = [X1 +0.5?
12
V
2
1
2
-2
Answer:
Actually, if you graph it the correct answer is the third option, not the first
Trust me I got 100%
Can someone help me please?
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
