Answer:
a)64
b)512
c)2^12
d)2^3m
Step-by-step explanation:
At every meal, 3 ounces of the cake is eaten
a) After 2 meals, the number of ounces consumed is 6 ounces
For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2
Her height is multiplied by 64
b) After three meals
Total consumption is 3 * 3 = 9 ounces
So her height will be multiplied by 2^9 = 512
c) After four meals
Total ounces is 4 * 3 = 12
So her height will be multiplied by 2^12
d) After M meals
Number of ounces is m * 3 = 3m ounces
Her height will be multiplied by 2^3m
Which of the following represent an exponential growth function?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
Exponential Growth Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
[tex]C(t)=C_o\cdot(1+r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
[tex]\mathbf{y=3^x}[/tex]
Help please thank you
Please help pass my final :(
Answer:
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Step-by-step explanation:
Given
∠1 = 70°
To determine
We need to determine angle ∠5
From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.
We know that when two lines are parallel, their corresponding angles are equal.As angle ∠5 is the corresponding angle of angle ∠1 = 70°.
Also, the corresponding angles are equal here.Therefore,
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
Select all the measurements that are equivalent to 2.4 meters.
0.0024 km
0.024 mm
0.24 cm
240 cm
2,400 mm
Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!
Step-by-step explanation:
The measurements that are equivalent to 2.4 meters are
0.0024km, 240cm and 2400mm.
The correct options are (A), (D) and (E).
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.
A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given,
measurement = 2.4 meters
1 meter = 1/1000 km
⇒ 2.4 meter = 2.4 /1000 = 0.0024 km
1 meter = 100 cm
⇒ 2.4 meters = 2.4×100 = 240 cm
1 meter = 1000 mm
⇒ 2.4 meters = 2.4×1000 = 2400 mm
Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.
Learn more about unit conversion here:
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Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8
Answer:
B. 6 7/10
Step-by-step explanation:
We solve the above y by carrying out addition.
The quarts of Lemonade she made is calculated as:
1 2/5 quarts of syrup + 5 3/10 quarts of water
= 1 + 5 + (2/5 + 3/10)
Lowest common denominator = 10
= 6 ( 4 + 3/10)
= 6 7/10 quarts of Lemonade
Mrs Olive made 6 7/10 quarts of Lemonade
I can't figure this out :/
Answer:
I believe it is d because when you get to negatives they are always on the left side
Step-by-step explanation:
i genuinely don't understand . please help me asap
Answer:
48.17
Step-by-step explanation:
Umm.. i don't really have time to explain but
A^2+B^2=C^2
36^2+32^2=48.17
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?
Answer:
18 per min and 0.3 per second
Step-by-step explanation:
Per minut --> 45/2.5 = 18 words per minut
Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second
Best regards
PLEASE HELP
due today in 20 minutes
i will mark you brainliest
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
need help pls answer it
Answer:
1 5/6 or answer C
Step-by-step explanation:
First: Parenthesis 4/5-1/4 or 11/20x 1/2 is 11/40
Bottom: 1/2*4/5 is 2/5 - 1/4 which is 3/20
11/40 *20/3
11/6 or 1 5/6 which would be answer C.
Hope this helps!
Happy Holidays!
Answer:
C
Step-by-step explanation:
top 4/5-1/4 or 11/20x 1/2 = 11/40
bottom 1/2*4/5 is 2/5 - 1/4 = 3/20
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?
Answer:
0,6
9,8
0,9
Step-by-step explanation:
charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence
Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.
Step-by-step explanation:
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
The equation 2x-7=5+x has exactly one solution. True or false
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.
If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.
Answer:
15x-5=y
Step-by-step explanation:
The equation of the line will be written as y = 15x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given data is,
The number of diamonds Total number of points earned
1 10
2 25
3 40
4 55
5 70
The slope of the line will be,
Slope = ( 25 - 10 ) / 1
Slope = 15
The y-intercept of the line,
y = mx + c
y = 15x + c
10 = 15 + c
c = -5
The equation will be written as,
y = mx + c
y = 15x - 5
Therefore, the equation of the line will be written as y = 15x - 5.
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I need to find the x pls help and show work
Answer:
Start giving more points
Step-by-step explanation:
plus i needed the points
Answer:
x=143
Step-by-step explanation:
deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33
Answer:
rate of 6
Step-by-step explanation:
Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to go?
Answer:
They have to drive 182, 2820 miles more.
Step-by-step explanation:
... ;)
Answer:
no :)
Step-by-step explanation:
ill give you brainliest for the correct answer
Answer:
An equation is 2.50x + 30 = 45
You purchased 6 movies
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.
Answer
Charlie paid $5.94
Step-by-step explanation:
0.76x2 3/4=2.09
1.40x2.75=3.85
3.85+2.09=$5.94
If 24 = 118, what is the measure of each of the other
angles?
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
