Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
4x - 5y = 10 solve for y=mx+b
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
is this a function or not?
Answer: yes
Step-by-step explanation:
The x value does not repeat itself
The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.
Answer:
Answer in explanation
Step-by-step explanation:
y = 0.752x + 4.75
The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y
The dependent variable is the other variable asides the independent, in this case, the dependent variable is y
When we talk of the domain, we talk of the range of values from the independent variable axis
Here, these values are 0,1,2 or 3
Lastly, the domain refers to the range of values on the y-axis
To get this, we need to input the x-values digit into the equation one after the other
At x = 0
y = 4.75
At x = 1
y = 0.752 + 4.75 = 5.502
At x = 2
y = (0.752)2 + 4.75 = 6.254
At x = 3
y = 0.752(3) + 4.75
= 7.006
The range of values is between 4.75 and 7.006
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
Which of the following situations have a sum of zero? Select all that apply.
1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.
2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.
3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.
4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.
PLZ HELP its a test re rake i really need to get it right or im gonna fail
Answer:
D
Step-by-step explanation:
if it was written in scientific notation, it would be 5*10^1
There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation
the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?
Answer:
6.
Step-by-step explanation:
f(n)=3n²/2
f(2)=3(2²)/2
f(2)=3(4)/2
f(2)=12/2
f(2)=6
The second term of the sequence 3n²/2 is 6.
What is substitution?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Given, The nth term of a sequence is 3n²/2.
Let f(n) = 3n²/2.
Now, to obtain the second term of the sequence can be obtained by replacing n with 2.
∴ f(2) = 3(2)²/2.
f(2) = (3×4)/2.
f(2) = 12/2.
f(2) = 6.
learn more about sequences here :
https://brainly.com/question/21961097
#SPJ5
A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.
Answer:
It would be around 5 cents an ounce
Step-by-step explanation:
0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce
Need help asapppppppppppppppppppppppppp
Answer:
0.00264
Step-by-step explanation:
(3.3x10^-4)x(8x10^0)
(3.3x1/100000)x(8x1)
0.00033x8
0.00264
hope this helps
brainliest?
Answer:
2.64 x 10⁻-3
0.00264
If the height of an equilateral triangle ABC is 5/ 3 cm. Let us write by calculating the area
of this triangle
• Height of the equilateral triangle = 5/3 cm .
To find :• The area of the triangle .
Solution:• First find side :
As we know that:
• Height = √3/2 (side)
=> 5/3= √3/2 (side)
=> side = 10/3√3 cm
• Area of equilateral triangle = √3/4 (side)².
=> Area = √3/4(10/3√3)²
=> Area = √3/4(100/27)
=> Area = 25√3/27
=> Area = 43.30/27
=> Area = 1.60 cm².
Hence, the area of equilateral triangle is 1.60cm²
I hope it will help you.
Regards.
What is the cost of juice in dollars per fluid ounce?
1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.
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Answer:
1. b
2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons
Step-by-step explanation:
The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...
gallons = miles/(miles/gallon)
18 mpg: 1000/18 = 55.6 gallons
28 mpg: 1000/28 = 35.7 gallons
34 mpg: 1000/34 = 29.4 gallons
54 mpg: 1000/54 = 18.5 gallons
So, ...
replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.
replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.
Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.
__
The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.
can someone please help me! thanks
8x + 14y = 4
−6x − 7y = −10
Answer:X= 4, y= -2
If you're solving by addition/elimination
Answer:
(4,-2)
I hope this helps
The number of concurrent users of a social networking site has increased dramatically since . By , this social networking site could connect concurrently 70 million users online. The function P(t)(), where t is the number of years after , models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in , in , and in . Round to the nearest million users.
Complete question:
The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users
Answer:
Kindly check explanation
Step-by-step explanation:
Given the function :
The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005
Estimate the number of users of this site that could be online concurrently in:
2006:
t = (2006 - 2005) = 1
P(t) = 2.459(1.475)^t
P(1) = 2.459(1.475)^1
P = 2.459(1.475)
= 3.627025 = 4 million users (nearest million)
2010 :
t = (2010 - 2005) = 5
P(t) = 2.459(1.475)^t
P(5) = 2.459(1.475)^5
P = 2.459(6.981682607421875)
= 17.1679575 = 17 million users (nearest million)
2013:
t = (2013 - 2005) = 8
P(t) = 2.459(1.475)^t
P(8) = 2.459(1.475)^8
P = 2.459(22.404546753)
= 55.09278 = 55 million users (nearest million)
Fully Simplify (multiplying imaginary numbers)
(-3_/-63) (9_/7)
See attachment for math work and answer.
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
speed of boat is 35 mph
speed of river is 5mph.
Step-by-step explanation:
Let the speed of boat be u mph
let the speed of river be v mph
When boat travel downstream
in that case flow of river will support the speed of boat hence
speed of river will be added to speed of boat
Thus,
speed of boat in downstream = speed of boat + speed of river = u + v
Given
the boat travels at 40 mph downstream
thus,
u + v = 40 -----1
When boat travel upstream
in that case flow of river will oppose the speed of boat hence
speed of river will be subtracted from speed of boat
Thus,
speed of boat in downstream = speed of boat -speed of river = u - v
Given
the boat travels at 30 mph upstream
thus,
u - v = 30 ----2
adding 1 + 2
we have
u + v = 40
+ u - v = 30
2u = 70
u = 70/2 = 35
Thus,
speed of boat is 35 mph
using u = 35 in u + v = 40
we have
35 + v = 40
v = 40 - 35 = 5
Thus, speed of river is 5mph.
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
4 x 105 in standard notation
Answer:
Lol its 420
Step-by-step explanation:
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
-4x^12y^11z^4
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
1890s was rounded to the nearest 10 what is the upper bound
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3
Answer:
whats that
Step-by-step explanation:
Answer:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
Step-by-step explanation:
If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].
This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].
Therefore, a=2, b=-10, and c=3.
Substitute these values into the quadratic formula. This yields:
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]
From here, simplify. Evaluate the expression under the square root:
[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]
Evaluate:
[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]
Note that:
[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]
Therefore:
[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]
We can factor out a 2 from both the numerator and the denominator:
[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]
Simplify:
[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]
Therefore, our roots are:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
integers
Step-by-step explanation:
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
Which graph has a rate of change of zero?
Answer:
graph #x
Step-by-step explanation:
where are the graphs