Answer:
4 days at least
Step-by-step explanation:
PLEASEEE HELPPPPPPP
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent?
Answer:
0.4476
Step-by-step explanation:
A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?
Answer:
24
Step-by-step explanation:
2 hours * 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
4 * 6 customers = 24 customers
Answer: 24
A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.
We know that
2 hours x 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
= 4 x 6 customers
= 24 customers
Learn more about the unitary method;
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Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Given:
Consider the given function is:
[tex]f(x)=5^x+1[/tex]
To find:
The average rate of change between x = 0 and x = 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
We have,
[tex]f(x)=5^x+1[/tex]
At [tex]x=0[/tex],
[tex]f(0)=5^0+1[/tex]
[tex]f(0)=1+1[/tex]
[tex]f(0)=2[/tex]
At [tex]x=0[/tex],
[tex]f(4)=5^4+1[/tex]
[tex]f(4)=625+1[/tex]
[tex]f(4)=626[/tex]
Now, the average rate of change between x = 0 and x = 4 is:
[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]
[tex]m=\dfrac{626-2}{4}[/tex]
[tex]m=\dfrac{624}{4}[/tex]
[tex]m=156[/tex]
Hence, the average rate of change between x = 0 and x = 4 is 156.
How can you represent 1/2 on a 10-by-10 grid?
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).
Answer:
The circumference of Earth's equator is 40,080 km.
Step-by-step explanation:
Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:
24 x 1,670 = X
40,080 = X
Therefore, the circumference of Earth's equator is 40,080 km.
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )
Answer:
Emily will earn $33,020 in one year.
Step-by-step explanation:
635×52=33,020
Find the area of the rhombus
Answer:
60 u²
Step-by-step explanation:
Finding second diagonal :-
d' = √{ 17² - 8²} d' = √{ 289 - 64 } d' = √{ 225 } d' = 15 uUsing formula :-
A = 1/2 * d * d' A = 1/2 * 15 * 8 A = 15 * 4 u²A = 60 u²Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
PLEASE HELP MEEEEEEEE ILL MARK YOU BRAINLIEST
A set of 3 pens cost 1.68 at that unit price,how much will 10 pens cost?
Answer:
16.8
Step-by-step explanation:
Answer:
5.60
Step-by-step explanation:
To find what 10 pens cost we have to go down to the cost of 1 pen first.
If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.
[tex]\frac{1.68}{3} = 0.56[/tex]
If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.
0.56 × 10 = 5.60
please say me the answer fast with step by step process
Help me please guys if you don’t mind
Answer:
Greatest common factor = [2x - 5][x + 2]
Step-by-step explanation:
Given equation:
2x² - x - 10
Find:
Greatest common factor
Computation;
⇔ 2x² - x - 10
By splitting mid term
⇔ 2x² - [5 - 4]x - 10
Multiply by 'x'
⇔ 2x² - 5x + 4x - 10
taking x and 2 as common
⇔ x[2x - 5] + 2[2x - 5]
taking [2x - 5] as common
⇔ [2x - 5][x + 2]
Greatest common factor = [2x - 5][x + 2]
Need help on this!!! 7 points!!!!
Answer:
your answer is (2,3) i think so .......am i right...or wrong..
Does anyone know the answer?
Answer:
The third one
Step-by-step explanation:
Solve -x/3>5 i don't know what to do
Answer:
It's D, x≤-15
Can like someone help me I'm lost-
Answer:
the first graph
Answer:
1st option
Step-by-step explanation:
If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.
Answered by GAUTHMATH
Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP
Answer:
A = 127.48 rounded
Step-by-step explanation:
Area of a circle:
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]
A = 127.48 rounded
Answer:
It's 127.47
First we take the radius and square it
6.37^2
then we multiply it by pi
40.5769 x π = 127.47
Is the discriminant of f positive, zero, or negative?
Answer:
It might be negative, I'm not sure, but I feel postive about that answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The discriminant is zero because the graph of the parabola is on the x axis.
HELP PLEASE
how do i put this into a piecewise function?
Answer:
Step-by-step explanation:
2 functions start by making a domain
Function 1: -3≤x<1
Function 2: -1≤x≤1
Now come up with equations
Function 1= x+3
Function 2= 5
Now put it all together
f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1
The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?
Hello,
Let's x then number of students.
x is divisible by 12,15,18 thus by 180 (lcm)
x=180*k is a square
2²*3²*5*k= a square ==> k=5
x=180*5=900
Proof:
900/12=75
900/15=60
900/18=50
900=30²
in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the perimeter is 40. what are the lengths of the 3 sides
Answer:
s for length of either equal side
b for the unequal side
b=-2+2*(s+s) and 2s+b=40
b=2*2s-2
b=4s-2
2s+4s-2=40
6s-2=40
6s=42
s=7
b=4*7-2
b=28-2
b=26
(c) 0.34 L = _________________ ml
Answer:
340 ml
Step-by-step explanation:
If P(2, p) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.
Answer:
p = 3
Step-by-step explanation:
Applying,
mid point of A and B is
P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1
From the question,
Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11
Substitute these values into equation 1
P = [(6-2)/2,(-5+11)/2)
P = (2,3)
comparing,
P(2,p) to (4,3)
Therefore,
p = 3
The equation of line a is y=12x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y-intercept of line b?
Answer:
A). slope = -1/12 y-intercept = 3/2
Step-by-step explanation:
y = -1/12x + b
2 = -1/12(-6) + b
2 = 1/2 + b
3/2 = b
y = -1/12x + 3/2
f(x)=2x+3/4x+5
find f(-9)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]f(x) = \frac{2x + 3}{4x + 5} \\[/tex]
For [tex]f(-9)[/tex], put "[tex]-9[/tex]" for every value of "[tex]x[/tex]".
[tex]↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\ [/tex]
[tex]↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\[/tex]
[tex]↬ f(-9) = \frac{ - 15}{ - 31}\\ [/tex]
[tex]↬ f(-9)= \frac{15}{31}\\ [/tex]
[tex] ↬f(-9)= 0.48\\ [/tex]
[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{f(x) = \dfrac{2x + 3}{4x + 5}}[/tex]
[tex]\mathsf{y = \dfrac{ 2x + 3}{4x + 5}}[/tex]
[tex]\mathsf{y = \dfrac{2(-9) + 3}{4(-9) + 5}}[/tex]
[tex]\mathsf{2(-9)}[/tex]
[tex]\mathsf{\bf = -18}[/tex]
[tex]\mathsf{y = \dfrac{-18 + 3} {4(-9) + 5}}[/tex]
[tex]\mathsf{-18 + 3}\\\mathsf{= \bf -15}[/tex]
[tex]\mathsf{y = \dfrac{ -15} {4(-9) + 5}}[/tex]
[tex]\mathsf{4(-9)}\\\mathsf{\bf = -36}[/tex]
[tex]\mathsf{y = \dfrac{-15}{-36 + 5}}[/tex]
[tex]\mathsf{-36 + 5}\\\mathsf{= \bf-31}[/tex]
[tex]\mathsf{y = \dfrac{-15}{ -31}\rightarrow\boxed{\bf \dfrac{15}{31}}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = \dfrac{15}{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which overlapping triangles are congruent by ASA?
B.
3
Select one:
O a.
AABE , ADEA
O b. AADC AEDA
O c.
AABE & ACDA
O d.
AADC AEBC
ya
Answer:
D. ADC EBC
Step-by-step explanation:
cb & cd have that little line showing they're the same
A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1 465
2 769
3 835
4 912
[tex]\huge\tt\pink{Answer}[/tex]
A≈852.83cm²
Radius
7cm
Height
31cm
Find the missing side of the right triangle if two sides are 6, and 10
Find the measure of the indicated angle
Answer:
x = 70°Step-by-step explanation:
Given is the isosceles triangle as two sides marked equal.
The missing angles measure the same.
Since the sum of interior angles of a triangle is 180°, we have:
40° + 2x = 180°2x = 140°x = 70°It is an isosceles triangle,
The marked 2 sides of triangle are equal.
Now we have to,
find the measure of indicated angle.
General formula,
→ Sum of all sides of triangle = 180°
Then the value of x is,
→ 2x + 40° = 180°
→ 2x = 140°
→ x = 140/2
→ x = 70°
Therefore, 70° is the value of x.
7z+15+27, z, plus, 15, plus, 2
Answer:
[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]