Answer:
Yes.
Step-by-step explanation:
We have to first find how much of the whole cake (1) that they all ate.
Boris eats 1/5 of the cake.
Maziy eats 1/5 of the cake.
Sanjay and Silas eat 1/5 of the cake.
Jack also has 1/5 of the cake.
The total fraction of cake eaten was:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Therefore,the fraction of the cake left is:
1 - 4/5 = 1/5
Yes, there is cake left.
#1 how is the vertex found?
#2 Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.
Answer:
C and A : ) : )
If you're looking for an anime to watch, watch Dororo if you haven't already
Answer:
C and A
Step-by-step explanation:
Edge 2021
How many faces does this figure have?
A.Two
B.three
C.four
D.five
Answer:
b.3
Step-by-step explanation:
im not 100% sure
Which polynomial is in standard form?
Answer:
Im pretty sure its D
Step-by-step explanation:
Which of these is closest to the time in years that it will take an investment to triple when it is invested in an account that pays 5.4% annual interest, compounded monthly?
20.4 years
20.9 years
2.1 years
0.25 year
Answer:
20.4 years
Step-by-step explanation:
The nper formula in excel comes handy in this scenario:
=nper(rate,pmt,-pv,fv)
Rate is the monthly rate of 5.4%/12
Assuming actual investment is $5,000 which is pv
The triple amount would be $5,000*3=$15,000 which is future value fv.
pmt is the regular cash flow the investment which is zero
=nper(5.4%/12,0,-5000,15000)= 244.68 months
Yearly it can be expressed as = 244.68/12 =20.39 years
When rounded to one decimal place it becomes 20.4 years
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $875. Let x represent the price of one ticket. What is the price of one ticket?
157 dollars per ticket
Show work
5 tickets times 18 dollars equals 90 dollars
875 minus 90 dollars in insurance equals 785
785 dollars divided by 5 tickets equals $157
Which expression is equivalent to 8a+3b+4a-9b??
Please help!
Answer:
12a - 6b
Step-by-step explanation:
Given
8a + 3b + 4a - 9b ← collect like terms
= (8a + 4b) + (3b - 9b)
= 12a + (- 6b)
= 12a - 6b
prove that:
(tan20°)^2+(tan40°^)2+(tan80°)^2=33
Answer:
Step-by-step explanation:
We have tanπ3=−tan2π3=tan4π3=3–√
Since tan(3x)=3tanx−tan3x1−3tan2x
Thus tanπ/9,−tan2π/9,tan4π/9are solutions to the polynomial 3–√=3x−x31−3x2
On simplication, x3−33–√x2−3x+3–√=0.(1)
Since (tanπ9−tan2π9+tan4π9)2
=tan2π9+tan22π9+tan24π9
+ 2( -tanπ9tan2π9+tanπ8tan4π9−tan2π9tan4π9)
By sum and product pairs of roots in (1) above
(−33–√)2=tan2π9+tan22π9+tan24π9+2×−3
∴tan2π9+tan22π9+tan24π9=33
Been stuck on this for like 50 mins
Answer:
C 30
Step-by-step explanation:
g(t) = t^2-t
f(x) = 1+x
g(f(2)+3)
First find f(2)
f(2) = 1+2 = 3
g(f(2)+3) = g(3+3) = g(6)
g(6) = 6^2-6
=36-6
= 30
What is the volume of this rectangular prism?
Answer:
The volume is 2.This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.
5/3 * 3/2 * 4/5
= 5*3*4 = 15*4 = 60
= 3*2*5 = 6*5 = 30
= 60/30= 2Volume = 5/3 x 3/2 x 4/5
5/3 x 3/2 = 15/6
15/6 x 4/5 = 60/30 = 2
Volume = 2 cubic units
TRAP × 9 = PART What is R? a) 0 b) 1 c) 5 d) 8
Answer:
a) 0
Step-by-step explanation:
Given that TRAP × 9 = PART and T, R, A, P all have different integer values (that is their values are different). TRAP and PART are both made up of four integers digits, that means 1000 ≤ TRAP and PART ≤ 9999. This means that TRAP × 9 ≤ 10000. The value of R can be gotten from:
[tex]TRAP<\frac{10000}{9}<1112(rounding \ to \ the \ next \ whole \ number)[/tex]
T cannot be 0, therefore T= 1, Since their values are different, R cannot be equal to T, we get that R can only be 0
A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is h(t)=-16^2+200t+50. At what height was the rocket launched?
Answer: 50 ft
Step-by-step explanation:
The correct function is h(t)=-16t^2+200t+50.
Hi, to answer this question we simply have to replace t =0 in the function given:
h(t)=-16t^2+200t+50.
h (0) = -16t^2+200t+50.
h(0) = 50
When the time is 0, the rocket is at the top of the building.
The rocket was launched from a 50 ft height.
Feel free to ask for more if needed or if you did not understand something.
Can yall help me with this. -4(2x-7)<10-2x Write the solution in the form x ? A, where ? Represents the correct inequality symbol and a represents the value of the solution.
Answer: x > 3
Step-by-step explanation:
We have the inequality:
-4*(2*x - 7) < 10 - 2*x
We want to find the possible values for x.
first, we expand the left side.
-8x + 28 < 10 - 2x
now we want to have all the terms with x in one side and the terms without x in the other side.
-8x + 2x < 10 - 28
-6x < -18
now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:
x > 18/6 = 3
x > 3
This means that x must be larger than 3.
What is the product of (x-2)(x-6)? *
Answer:
[tex]x^2-4x+12[/tex]
Step-by-step explanation:
[tex](x-2)(x-6)[/tex]
[tex]x(x-6)-2(x-6)[/tex]
[tex]x^2-6x-2x+12[/tex]
[tex]x^2-4x+12[/tex]
Ms. Johnson has 20 students. 3/5 of her class has at least one pet. How many students in her class have pets?
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} \times 20[/tex]
[tex]\frac{60}{5}[/tex]
[tex]=12[/tex]
Answer:
12 students
Step-by-step explanation:
First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.
Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12
12 students have pets in Ms. Johnson's class
Consider the equation below
Answer: B
Step-by-step explanation:
Let's solve the given equation. Then we can see which other equation has the same answer.
-5n+31=-14n-5
36=-9n
n=-4
We need to fina another equation that gives n=4 as the answer.
A. Incorrect
3-6n+3n=-3+4-4n
3-3n=1-4n
n=-2
B. Correct
[tex]\frac{11}{4} n+2=-3+\frac{3}{2}n[/tex]
[tex]\frac{5}{4}n=-5[/tex]
[tex]n=-4[/tex]
C. Incorrect
1=0.75n+3.25
-2.25=0.75n
n=-3
D. Incorrect
-1-22n=-20n-9
8=2n
n=4
if the temperature at kiev city is 0 Celsius it rises by 6 Celsius over the next 6 hrs what is the temperature at 6pm
Answer:
6 Celsius
Step-by-step explanation:
Initial temperature at 12pm is 0 Celsius.
Rises by 6 (add by 6).
[tex]0+6[/tex]
[tex]6[/tex]
I realllly need help with this! For a lot of points please please give me a answer
Answer:
Step-by-step explanation:car 10 percent
Phone 1 percent
Clothes 5 percent
Charity 3.84 percent
Mac 0.4percent
Apple watch 0.2 percent
Hawaai trip 1.57 percent
Home 73 percent
What is the apparent slope of the line graphed below?
Answer:
B. -2/5
Step-by-step explanation:
Use the "rise over run method"
Do this by finding two points on the graph, then finding the distance between the two points. First find the vertical distance, then the horizontal. The direction represents whether the slope will be negative or positive. When it goes up, it'll be positive, down=negative. Right=positive, left=negative. Two negatives make a positive, but one positive and one negative make a negative.
what two integers would 4.89 fall between?
Answer: 4 and 5
Step-by-step explanation:
4.89 is higher than 4 and lower than 5
solve the formula
F=ma for a
plss
Answer:
Step-by-step explanation:
F = ma
ma = F
a = F/m
which shows the equation below written in the form ax^2+bx+c=0
Answer:
C
Step-by-step explanation:
[tex]x^{2} + 8x + 10 - 3 = 0\\x^{2} + 8x + 7[/tex]
Answer:
C
Step-by-step explanation:
A P E X
Leroy spent a total of $18.00 on rides at the county fair. Each ride cost $1.50. How many rides did Leroy
go on at the fair?
If he spent $18 at the fair and each ride was $1.50 Leroy went on 12 rides because 18 divided by 1.5 equals 12. Hope this helped :)
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
1. How would you estimate or find the population of bacteria in:
a. 4 hours?
b. 90 minutes?
c. 72 hour?
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = [tex]P_{0}(1+\frac{r}{100})^{t}[/tex]
Where f(x) = Population after time 't'
[tex]P_{0}[/tex] = Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = [tex]100(1+\frac{r}{100})^{1}[/tex]
3 = 1 + [tex]\frac{r}{100}[/tex]
r = 100×(3 - 1)
r = 200
So the function is, f(x) = [tex]100(3)^{t}[/tex]
a). Population after 4 hours,
f(4) = [tex]100(3)^{4}[/tex]
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = [tex]100(3)^{1.5}[/tex]
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = [tex]100(3)^{72}[/tex]
= Infinite
Will mark Branliest for correct answers
Answer:
1. 276040 = 300000
2.£200
3. 20000km
Step-by-step explanation:
According to some reaserch,
To round to a significant figure:
1. look at the first non-zero digit if rounding to one significant figure
2. look at the digit after the first non-zero digit if rounding to two significant figures
3.draw a vertical line after the place value digit that is required
4. look at the next digit
5.if it's 5 or more, increase the previous digit by one
6.if it's 4 or less, keep the previous digit the same
fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one
Please help me!!!!!!!!!
Answer:
57 degree
Step-by-step explanation:
Using cos formula again~
So AB^2=BC^2+AC^2-2*BC*AC*cosC
AB= 25.15cm
BC^2=AB^2+AC^2-2ABACcosA
Cos A=0.55
A=56.58degree
Determine the equation of the inverse of y=4^2x+9
A: y=2*log4x-9
B: y=(log4x-9)/2
C: y=((log4x)/2)-9
D: y=4*log2x-9
Whole numbers are written on a card in place in a bag Pilar selects a single card writes down the number and then places it back in the bag She reapets this 46 times pillar calculates the related frequency of each number card
Answer:
Step-by-step explanation: boy do it
1-2 /23 46 me
Answer.
Step-by-step explanation: Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then places it back in the bag. She repeats this 46 times.
Pilar calculates the relative frequency of each number card.
Outcome 1 2 3 4 5
Relative Frequency 0.05 0.35 0.26 0.13 0.21
Which statement about Pilar's experiment is true?
The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.
The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.
The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
The answers are A and D. Hope this helps!
Patty Cake and Jim Nasium are flying a kite. Patty is 200 m away from Jim who is holding the kite. Facing Jim, Patty finds the angle of elevation of the kite is 40 degrees . If the kite string makes an angle of 85 degrees with the ground, find the amount of string let out by Jim.
Answer:
Length of the string let out by Jim is 156.9 m.
Step-by-step explanation:
From the figure attached,
Jim observes the angle of elevation of the kite = 85°
And Patty observes the angle of elevation of the kite = 40°
Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°
Distance between Jim and Patty = 200 m
Let the length of the string between Jim and the kite = x meters
By applying Sine rule in the triangle formed between Jim, Patty and the kite,
[tex]\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}[/tex]
x = [tex]\frac{200\times \text{Sin}40}{\text{Sin}55}[/tex]
x = 156.94 m
≈ 156.9 m
Therefore, length of the kite string from Jim and the kite is 156.9 m.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!