Answer:
19.
h=0, the result is 1000×2⁰ = 1000
this is the population of bacteria the excitement started with at the very beginning.
h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125
this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).
20.
D 25x⁶
Step-by-step explanation:
for 19 there is not more explanation. it is all ashtray in the answer.
for 20 we see that we are dealing with a square, so ask 4 sides have the same length.
one side is 5x³.
the area of a square is simply side².
so, here (5x³)² = 25x⁶
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19
Help and explain pls and thankyouuu
Answer:
f(-3.2) = -7.2
Step-by-step explanation:
Here, we want to calculate f(-3.2)
What we have to do here is to substitute-3.2 for x in the equation for f(x)
Mathematically, we have this as;
f(-3.2) = -3.2-4 = -7.2
The town of Lakehorn is built on a grid system. Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall. Only students who live outside a 5-mile radius from the school are eligible to ride the school bus. Which of the following students are eligible to ride the bus? Select all that apply.
The students eligible to ride the bus are: Marinna, Kaleb and Thomas
What is the distance between two points?The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
What is an equation of circle with center at (h, k)?An equation of circle with center at (h, k) and radius 'r' is,
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
For given example,
Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall.
Considering positive x-axis = East
negative x-axis = West
positive y-axis = North
negative y-axis =South
Also, locate the position of each student on the graph.
Then the given situation would as shown in following diagram.
We have been given, only students who live outside a 5-mile radius from the school are eligible to ride the school bus.
Using the equation of the circle,
the equation for the area within a circle of 5-mile radius from the school would be,
[tex](x-2)^2+(y-3)^2=5^2[/tex]
From the graph we can observe that, Marinna, Kaleb and Thomas live outside a 5-mile radius from the school.
Therefore, the students eligible to ride the bus are: Marinna, Kaleb and Thomas
Learn more about the equation of circle here:
https://brainly.com/question/10618691
#SPJ2
What is the slope of the line? What is the y-intercept of the line? y = 1
Answer:
m = 0
y intercept = 1
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 1[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 0 [/tex]
[tex]\implies y - intercept= 1[/tex]
Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1
y intercept of the line is y = 1.
Answered by GAUTHMATH
Diego runs for 32 seconds at -8. meters per second .what is his finish point?
Answer:
The finishing point 4
Step-by-step explanation:
32/8=4
The sales tax rate for the state of Washington was 7.6%.
What is the state sales tax on a $5,300 car in WashingtoN
What is the final cost of the car, including tax?
Answer:
Sales tax: 402.80 Final cost: 5,702.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
5300 x .076 (7.6%) = 402.80
Sales price + tax = final cost
5300 + 402.80 = 5702.80
.The endpoints of AB are A(1,4) and B(6,-1).
Answer:
5√2
Step-by-step explanation:
Finding distance :-
d = √{ ( 1 -6)² + (4+1)²}d = √{ -5² + 5² }d = √{ 25 + 25} d = √50 d = 5√2Зу = х - 9
y = -x + 1
Using the graphing method, which of the following choices is the solution of the system?
A=(-3 ,-2)
B=(3 ,-2)
C= Infinite solutions
D= No solutions
Answer:
did i got it correct if yes follow plz
used a graphing tool to, well, graph it
see the solution in the screenshot, it's the point where the two lines intersect
pls answer w explanation!
What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)
Answer:
10
Step-by-step explanation:
Apply difference of squares.
[tex](x + y)(x - y) = {x}^{2} - {y}^{2} [/tex]
[tex](2 + 6i)(2 - 6i) = {2}^{2} - {6i}^{2} [/tex]
[tex] = 4 + 6[/tex]
[tex] = 10[/tex]
What is the order of rotational symmetry of a regular pentagon?
Answer:
yeet
Step-by-step explanation:
urmom
A car and a bus were travelling towards each other at uniform speeds. They were 250 km apart at noon and passed each other at 2 p.m. If the speed of the car was 75 km/h, find the speed of the bus.
Answer:
50 km/hr
Step-by-step explanation:
speed = x + 75
distance = 250km
time = 2
250 = (x + 75) * 2
125 = x + 75
x = 50
Michael modeled from play dough a 15cm high pyramid with a rectangular base with dimensions of a = 12 cm and b = 8 cm. Jane remodeled Michael’s pyramid into a come with a base diameter of d = 10cm, what was the height of Jane’s cone?
Answer: 251.2 cm3
Step-by-step explanation:
10x3.14x 8 = 251.2
A department store holds a year-end clearance sale that includes a 5.5% discount on cosmetics. Find the sale price of a bottle of perfume if its original price was $48.41.
Answer:
Sale price = $45.75
Step-by-step explanation:
Original price = $48.41
Percentage Discount = 5.5%
Amount of discount = Percentage Discount × Original price
= 5.5% × $48.41
= 5.5/100 × $48.41
= 0.055 × $48.41
= $2.66255
Sale price = Original price - Amount of discount
= $48.41 - $2.66255
= $45.74745
Approximately,
Sale price = $45.75
solve the equation x^2 -100 = 0
plisss help me in thiss
Answer:
x=80
Step-by-step explanation:
The angle of a line is 180*.
The equation would be (x+20)+x=180
Subtract 20 from both sides: 2x=160
Divide by 2: x=80
That's your answer!
I hope this helps!
Answer:
x=80
Step-by-step explanation:
I cant explain well but edge 2021 never lie's!
convert 9.56 cm = ________________ M
Answer:
[see below]
Step-by-step explanation:
There are 100 cm in a meter.
9.56/100 = 0.0956
Hope this helps you.
(PS: You can mark the other user as Branliest)
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2009?
Answer:
Step-by-step explanation:
Well the percent of growth is 6%
The reason is because when we look at a exponential function, if the number in the percent is more than 1 subtract the number from 1 and multiply it by 100 thats your percent
Now to find the company's value in 2009 or 9 years after 2000
we just replace the variable representing time "t" for 9
221(1.06^9)= 373.37484994
the value of the company in 9 years is 373.37484994 (in million dollars)
the percentage of annual growth is 6%
pls give brainliest
A farmer wants to fence in a rectangular plot in a large field, using a rock wall which is already there as the north boundary. The fencing for the east and west sides of the plot will cost $4 a yard, but the farmer needs to use special fencing which cost $5 a yard on the south side of a plot. If the area of the plot is to be 600 square yards, find the dimensions for the plot which will minimize the cost of the fencing.
Hello,
Let's assume x the length of the north's wall
and y the length of west side .
Area:x*y=600 ==> y=600/x
Cost: 2*y*4+5*x=8y+5x= 4800/x+5x
Minimize cost: (4800/x+5x)'=0
-4800/x²+5=0
x²=4800/5
x²=960
[tex]x=8\sqrt{15} \\\\y=5\sqrt{15} \\[/tex]
Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question 2. Measure and record the side lengths of and . Then measure and record the side lengths of and .
Answer:
Step-by-step explanation:
Step-by-step explanation:
.hhx cvs Gunther b but kcm
simplify the ratio 4.5: 3 1/2 in its simplest form
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )
= 9 : 7
The volume of a cube is 8mm3.
What is the length of its side?
Answer:
the length of cube
is 2 mm
Answer:
2m
Step-by-step explanation:
A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height
Let the side of cube be x.
Then Volume of cube = x * x * x
So, length (side) of cube is 2m
if u help me i will give you brainliest <3
Answer:
a) 6
b) 12:35 ( not so sure about this one)
Step-by-step explanation:
a)
distance = speed * time
ruths distance = 4* 1.5 (because it takes her 1h 30 mins)
distance = 6miles
b) 1/4 here is quarter so, 15mins
10:30 and then add 50 mins to that.
she leaves at 11:20 and takes 1h and 15 mins ( 75mins) to walk home
so 11:20 + 1h 15min
= 12:35
hope this helps :)
Answer:
a) 6 miles
b) 12:35 pm
Step-by-step explanation:
a) 9 am to 10:30 am = 1 hour and 30 mins = 1.5 hours
4mph x 1.5 = 6miles
b) 10:30 am + 50 mins = 11:20 am
1 hour = 60 mins
60/4 = 15 mins
1 1/4 = 1 hour 15 mins
11:20 am + 1 hour 15 mins = 12:35 pm
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales
increase last year? What percentage did sales decrease this year?
Sales increased
last year, from $5,000 to $10,000. When sales dropped from $10.000 to $5,000 this year, sales decreased
Answer:
Last year sales increased by 200%. This year sales decreased by 50%.
Step-by-step explanation:
Which function is represented by the graph?
5
4
3
2
Of(x) = -x - 3] + 4
f(x) = -x + 3 + 4
f(x) = -x + 4 + 3
f(x) = -x + 4 + 3
-5 A-3 -2 -1 2 3 4 5
2+
-3
45
Step-by-step explanation:
The correct answer is f(x)=3^(x+3)
From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees. How far is the ship from the base of the lighthouse?
Answer:
84.89 feets
Step-by-step explanation:
The solution triangle attached below :
The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :
Tan θ = opposite / Adjacent
Tan 23 = d / 200
d = 200 * tan23°
d = 84.89 feets
solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
Answer:
Step-by-step explanation:
Using log(x) - log(y) = log (x/y)
logx^2 - log(x+6) = 1 is equal to:
log (x^2/(x+6)) = 1
Taking inverse base 3 log on both side:
x^2/(x+6) = 3
x^2 = 3x + 18
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or -3
Answer:
Step-by-step explanation:
1 = base 3log3
substitute
logx^2-log(x+6) = log3
logx^2 - log(x+6) - log3 = 0
log( (x^2/(x+6))/3 ) = 0
anti-log
x^2/3(x+6) = 1
x^2 = 3(x+6)
x^2-3x-18=0
x=6 n -3
anti-log base 3 on both sides:
What is the measure of x in the figure below?
Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
What is the value of -97-7 when /= 2?
-25
-18
11
45
Step-by-step explanation:
there must be something wrong or missing in your problem description.
what I can read here :
-97 - 7 when divided by 2
-97 - 7 = -104
this divided by 2 is -52.
but there is no such answer.
so, the provided answers and the problem description do not fit to each other.
How many fives makes 6 tens
Answer:
12.
Step-by-step explanation:
6x10 = 60.
60 divided by 12 =5.
Answer:
12
Step-by-step explanation:
5x = 60
x = 12
What 23.5 x 10 to the power of two in scientific notation explain please
Answer:
2.35 x 10^3
Step by Step:
Rewrite the number in scientific notation.2.35 x 10^3