Answer:
Option (a)
Step-by-step explanation:
Since, can of the energy drink is in the form of a cylinder.
Volume of a cylinder is given by the formula,
V = πr²h
Here, r = radius of the can
h = height of the can
By substituting the values in the formula,
V = π([tex]\frac{1.5}{2}[/tex])²(7)
= (3.14)(0.75)²(7)
= 3.14(0.5625)(7)
= 12.36375 in³
≈ 12.36 in³
Therefore, Option (a) will be the correct option.
What is the area, in square feet, of the trapezoid below?
Answer:
68.75
Step-by-step explanation:
Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.
13.6 + 5.9= 19.5
19.5 + 8 = 27.5
27.5 x 5 = 137.5
137.5 x 1/2 = 68.75
In AWXY, WY is extended through point Y to point Z, m_YWX = (3x + 17)º
mZXYZ = (10.C – 5)°, and mZWXY (3x + 2)°. Find mZWXY.
Can someone answer this today please
Answer: 14
Step-by-step explanation:
Please help this is due tomorrow help
Answer: $4.50
Step-by-step explanation:
6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change
Answer:
Step-by-step explanation:
Since Aiden paid only the admission price not the skate rental price soo..
3.50 for himself and 6*2 =12 for his friends
3.50+12=15.50
20-15.50 = 4.50 in change :)
please help me on this!! will give u brainliest.
What is the product of the coordinates of the midpoint of a line segment with endpoints at (1,1) and (-7,5)?
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The midpoint of a line segment is the average of the end point coordinates:
((1, 1) +(-7, 5))/2 = (1 -7, 1 +5)/2 = (-6, 6)/2 = (-3, 3) . . . midpoint coordinates
what is equal to 18 tens
Answer:
180
Step-by-step explanation:
so if it is addition like I assume it is, you would do this:
18 +18 +18 +18 +18 +18 +18 +18 +18 +18
that is also equal to 18x10.
so 18 ten times. a simple trick for multiplying by ten is just adding a zero, so 18x10 is 180.
I THINK THIS IS RIGHT LOL
Hey there!
18 * 10
≈ 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18
≈ 36 + 36 + 36 + 36 + 36
≈ 72 + 72 + 36
≈ 144 + 36
≈ 180
Therefore, the answer should be: 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Answer:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]
solving the expression
[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]
simplify
[tex]=13x^2-2x-4[/tex]
Therefore, the simplified form is:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Cory has a sister named Jessica. Jessica is 7
years older than twice Cory's age. Write an
expression that represents the relationship of
Jessica's age in terms of Cory's age, c.
Answer:
2c+7
Step-by-step explanation:
Jessica is 7 more than 2x Cory's age.
Given that Cory is c years old,
then Jessica is
2c+7
I hope this helps! :)
Find the product.0
782 x 34 =
Answer:
26,588
Step-by-step explanation:
helllppppppppppppppppppppppp solve for x
Answer:
X+6 = 36 then find the ans
PLEASE HELP PRETTY PLEASE ITS DUE IN 10 MIN!!!
Determine the domain and the range of the function. f = {(15,0 ),(16,-3),(44,0 ),(59,10 )}
Answer:
D:{15 <= x <= 59}
R:{-3 <= y <= 10}
Step-by-step explanation:
Take the min and max x values and put x between
Take the min and max y values and put y between
Domain= {15, 16, 44, 59}
Range={0, -3, 10}
which value for the constant c makes z =-5/4 an extraneous solution in the following equation?
[tex] \sqrt{4z + 9} = cz + 8[/tex]
Answer:
c=8
Step-by-step explanation:
The value of c that makes z = -5/4 an extraneous solution is c = 24/5.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The equation is given as:
√{4z + 9} = cz + 8
An extraneous solution is a solution that is not a valid solution to the original equation, but it is obtained during the process of solving the equation. In this case, the extraneous solution is z = -5/4.
To determine the value of c that makes z = -5/4 an extraneous solution, we can substitute -5/4 for z in the original equation. This gives us the following:
√{4 × -5/4 + 9} = -5/4 × c + 8
√{-5 + 9} = -5/4 × c + 8
√4 = -5/4 × c + 8
2 = -5/4 × c + 8
5/4 × c = 8 - 2
5/4 × c = 6
c = 6 × 4/5
c = 24/5
Therefore, the value of c that makes z = -5/4 an extraneous solution is c = 24/5.
Learn more about the equations here:
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what is 4/5 in simplest form???
Answer:
it alrdy is
Step-by-step explanation:
Answer:
4/5 is simplest form
Step-by-step explanation:
hope this helps
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.
Answer:
[tex]y = 1500(0.024)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 1500km[/tex] -- initial area
[tex]b = 2.4\%[/tex] -- rate
[tex]t = time[/tex] --- (years)
Required
Represent as an exponential function
An exponential function has the form:
[tex]y = ab^t[/tex]
Where
[tex]a = initial\ value[/tex]
[tex]b = rate[/tex] and [tex]b \ne 1[/tex]
[tex]t= time[/tex]
Substitute values for a and b, we have:
[tex]y = 1500 * (2.4\%)^t[/tex]
Convert percentage to decimal
[tex]y = 1500 * (0.024)^t[/tex]
[tex]y = 1500(0.024)^t[/tex]
Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]
Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?
Answer:
4/7
Step-by-step explanation:
6/7-2/7=4/7
Answer:
I believe that the answer is 4/7
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19
Please help please please ASAP please please
Step-by-step explanation:
ac is the answer
.............
Directions: Solve for x.
1.
X
32
9
24
Answer:
x = 12
Step-by-step explanation:
set up a proportion:
24 = 32
33 32+x
24(32 + x) = 32(33)
768 + 24x = 1056
24x = 288
x = 12
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Which of the following expressions is equivalent to the logarithmic
expression below?
log4 (7/x^3)
A. 3 log4 7 - log4 x
O B. log4 7-3 log4 x
C. lo94 7 + 3 log4 X
D. 3 log4 7 + log4 X
Answer:
O B. log4 7-3 log4 x
[tex] log_{4}( \frac{7}{ {x}^{3} } ) \\ = log_{4}7 - log_{4}{x}^{3} \\ = log_{4}7 - 3 log_{4}x[/tex]
The expression equivalent to the logarithmic expression
log 4 (7/x^3) will be B. log4 7-3 log4 x
What is log ?
A logarithm is the power to which a number must be raised in order to get some other number
log 4 ([tex]\frac{7}{x^3}[/tex])
log 4.7 - log 4x^3 (log (a/b) = log a - log b
log 4.7 - 3 log 4x
correct answer is B. log4 7-3 log4 x
learn more about log
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A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?
Answer:
32 pounds of almonds
Step-by-step explanation:
Let the number of pounds of almond be a while that of cashews be c
we want to make a total of 80 pounds
Thus;
a + c = 80 ••••••••(i)
Furthermore;
Let us work with the costs
Costs of a pounds of almonds will be ;
a * 2.5 = 2.5a
cost of c pounds of cashews
c * 3.25 = 3.25c
Total cost at which they sell will be 80 * 2.95 = 236
Thus;
3.25c + 2.5a = 236 •••••(ii)
From i, c = 80-a
Put this into ii
3.25(80-a) + 2.5a = 236
260-3.25a + 2.5a = 236
0.75a= 24
a = 24/0.75
a = 32
Modell’s sports store has a 30% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?
6th Grade Math! Can you please help?
Answer:it is c and d
Step-by-step explanation:
Gavin is moving into a new ampartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1 _ 3 the area of the bedroom, what is the area of gavin's bedroom?
Answer:
[tex]B =120[/tex]
Step-by-step explanation:
Given
Represent Kitchen with K and Bedroom with B.
So:
[tex]K = 50ft^2[/tex]
[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area
Required
Determine the bedroom area
The expression of K and B has been determined above.
The next step is to substitute 50 for K in the second equaion
[tex]K = 10 + \frac{1}{3}B[/tex]
[tex]50 = 10 + \frac{1}{3}B[/tex]
Multiply through buy 3
[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]
[tex]150 = 30 +B[/tex]
Make B the subject
[tex]B =150 - 30[/tex]
[tex]B =120[/tex]
Hence, the area of the bedroom is 120ft^2
Answer:
120
Step-by-step explanation:
no explanation
Need help ASAP giving 35 points and giving a branliest
Answer:
B. 1 1/9 ft³Step-by-step explanation:
Sides of the prism:
2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ftVolume:
2/3*1*5/3 = 10/9 = 1 1/9 ft³Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
Please please help please
Step-by-step explanation:
....................
Divide. Write the quotient in lowest terms.
5 divide 3 1/3
Answer:
3/2 or 1 1/2
Step-by-step explanation:
5÷3 1/3
5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide
5/1 × 3/10 because you have to multiply the first number by the reciprocal
5 and 10 cancel out so you would have 2 at the bottom
3/2 or 1 1/2
x + 6 ≥ 4 and 3x + 5 ≤ 5