Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
which number from the set {9, 10, 13, 15} is the solution to this equation
3(x - 7) = 9
A) 9
B) 10
C) 13
D) 15
Can someone please answer 1 for me? Whoever can answer gets brainliest
At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?
Answer:
16 feet
Step-by-step explanation:
Height of tree = [tex]\frac{20}{15}[/tex] × 12ft
= 16ft
guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
100 answer is correct
Step-by-step explanation:
2×10-3×-12+4×11
20+36+44
100 answer is correct
Step-by-step explanation:
2x-3y+4z
x=10
y=12
z=11
2(10)-3(-12)+4(11)
20+36+44
and the answer is 100
(made a lot of mistakes so edited answer!)
good day :)
How many words per minute can Shania type? words per minutes
Answer:
57
Step-by-step explanation:
eliana is coolll
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
Determine if the situation is additive or multiplicative AND determine the equation that corresponds to the situation.
Equation:
Additive or Multiplicative:
Answer:
The situation is Multiplicative.
The equation will be [tex]y=2x[/tex]
Step-by-step explanation:
We are given the table:
Input (x) 5 8 11
Output (y) 10 16 22
Looking at the table, we see that the value of x is doubled to get value of y
Looking at the trend: 5(2) = 10
8(2) = 16
11(2) = 22
The value of x is multiplies by 2 to get value of y.
So, The situation is Multiplicative.
Now, The equation will be [tex]y=2x[/tex]
because we saw the trend, that every value of x is multiplied by 2 to get value of y.
hey sorry bout your acc D:
PLS HELP. Find the value of each variable.
6. x=100
7.x=75
8.x=30
10.x=112
11.x=58 y=58
Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
Help here is an easy one
Answer:
x = 30°
Step-by-step explanation:
Given that,
∠A = x°
∠B = 2x°
∠C = 90°
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°.
ATQ,
x° + 2x° + 90° = 180°
3x° = 180°-90°
3x° = 90°
x° = 30°
So, the value of x is 30°.
Answer:
3x+90=180
3x=90
x=30
Step-by-step explanation:
Help me I'm too tired to think and this is easy.
Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)
Answer:
equal to
Step-by-step explanation:
two negatives equals positive
Answer:
Equal
Step-by-step explanation:
Double negative equals a positive. Gn
Please help!!!!!!!!!!
Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39
Step-by-step explanation:
72+57=129 180-129= 51 degrees for 1
90-72= 18 degrees for 2
180-57= 123 degrees for 3
123+18=141 180-141= 39 degrees for angle 4
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)
A. 9
B. 1 13/18
C. 25.3
D. 6
Answer:
b
Step-by-step explanation:
it is
Answer:
B. 1 13/18
Step-by-step explanation:
1 13/18 x 36 = 62
Translate the verbal expression: Six times a number yields 48.
six times eight equals fourtyeight
6x8=48
The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
What is an expression?It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.
It is given that the verbal expression is six times a number yields 48.
Suppose the number is x,
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The expression is translated as,
6×8=48
Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used.
Simplify the expression by rewriting it as a complex number in the standard form a+bi
Given:
The expression is
[tex]\sqrt{64}+\sqrt{-144}[/tex]
Rewriting it as a complex number in the standard form a+bi.
To find:
The missing values in the given simplification.
Solution:
We have,
[tex]\sqrt{64}+\sqrt{-144}[/tex]
It can be written as
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]
[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]
Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.
Answer:
Sample Answer for Edmentum
Like and Rate!
Step-by-step explanation:
Please help me I’ll give you brainliest
Can someone help me with this problem pls
I really need help on this if you can show me how you got the answers as well thank you
Answer:
You included the zero from right side of decimal point, which you shouldn't have.
Answer:
You take the percentage times the total of money you have.
Housing is the cost of $465.75 ( 27%x $1725)
Food is the cost of $345 (20%x$1725)
Clothes is the cost of $155.25 (9%x$1725)
Gifts is the cost of $120.75 (7%x$1725)
Transportation is the cost of $224.25 (13%x$1725)
Entertainment is the cost of $86.25 (5%x$1725)
Miscellaneous is the cost of $51.75 (3%x1725)
Insurance is the cost of $86.25 (5%x%1725)
Health is the cost of $51.75 (3%x$1725)
Savings is the cost of $138 (8%x$1725)
Im so so sorry of this is wrong!!
I hope it helps if it is right!!
PLEASE I REALLY NEED HELP I OFFER 15 POINTS
Answer:
-5=25 ------>x= -5
[tex]\frac{x}{5}[/tex]= -5 --------> x=-25
-1.2x=-6 --------> x=5
[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25
Brainliest would be nice!You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answer:
15 (A)
A is the legit answer.
what is the least common dominator of 3/4 4/5 and 2/3
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm