Answer:
20 m
[tex]p = 4a \: thus \: a = p \div 4 = 80 \div 4 = 20 \: m[/tex]
Answer:
20
Step-by-step explanation:
P=4L
80=4L
L=80/4
L=20m
2
Which is equivalent to 2435?
12
Answer:
C
Step-by-step explanation:
(243)^(2/5)=3^2=9. C is the correct answer
It can be concluded that the equivalent value of the expression is 9.
What is algebraic expressions?An algebraic expression is a made up of terms both constants and variables. For example, we can write -
2x + 3y + z
5x + y
x + 8y
Given is the algebraic expression as -
[tex]$243^{\frac{2}{5} }[/tex]
The given algebraic expression is -
[tex]$243^{\frac{2}{5} }[/tex]
It is asked to find the equivalent value of this expression. We can write -
[tex]$243^{\frac{2}{5} }[/tex]
[tex]$3^{5\times \frac{2}{5} }[/tex]
3²
3 x 3
9
So, it can be concluded that the equivalent value of the expression is 9.
Therefore, it can be concluded that the equivalent value of the expression is 9.
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Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer:
x = 32 feet
Step-by-step explanation:
By applying tangent rule in ΔACD,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB+AC}{CD}[/tex]
= [tex]\frac{x+BC}{87}[/tex]
x + BC = 73 -----(1)
By applying tangent rule in ΔBCD,
tan(25°) = [tex]\frac{BC}{CD}[/tex]
= [tex]\frac{BC}{87}[/tex]
BC = 40.57
By substituting the value of BC in equation (1),
x + 40.57 = 73
x = 32.43
x ≈ 32 feet
Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?
Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
Help please anyone please
Welp....there's your answer
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answer:
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
Step-by-step explanation:
17x - 8x + 2 = (17x - 8x) +2 Combine like terms.
= 9x + 2
Like terms have same variable of same powers.
Answer:
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
Step-by-step explanation:
17x - 8x + 2 = (17x - 8x) +2
Combine like terms.
= 9x + 2 Like terms have same variable of same powers.
Still stuck? Get 1-on-1 help from an expert tutor now.e3radg8 and 3 more users found this answer helpful
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x
represent the larger number and y represent the smaller number. Which equations represent this situation?
VX
y=3x-5
y=x
O
y = x-5
10
y = 3X+ 3
y=-x
о
2 10
y = 3x+
Step-by-step explanation:
x+y=0
x=-y
or, y=-x
3x-2y=10
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
Please help me solve this guys Thankyou so much
Step-by-step explanation:
first blank: 0 seconds
second blank: 9.8 seconds
third blank: 5 seconds
fourth blank: 120 meters
The circumference of a circle is 17pi ft. what is the area, in square feet?
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
5. Solve each of the following quadratic equations using the Quadratic Formula (Express all roots as integers or as real numbers rounded to one decimal place)
a) 2x2 – 3x - 10 = 0
b) 3x2 - 8x + 4 = 0 (answer pls:)
Factorize:
6 + 13mn + 7m² n²
explanation
Answer:
1(6+13mn+7m^2n^2)
Step-by-step explanation:
The coefficients and variables in this equation have a common factor of 1, therefore the equation will go back to it's original state if you use 1 as the common factor.
I hope this helps and sorry if am wrong
What is the area of this triangle?
Answer:
the answer of the question is D
what is it initial value
2.
Say True or False.
(i) The difference between the smallest number of seven digits and the largest
number of six digits is 10. False
(ii) The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only
once is 9086.
IS
:)
.
(iii) The total number of 4 digit numbers is 9000.
Answer:
i) false
ii) false
iii)false
Answer:
true ans is correct
Step-by-step explanation:
true
Which of the following is a parent function?
O A. f(x) = e*
O B. f(x) = 2.34
O x
C. f(x) = x4 +3
O D. f(x) = 2e2x
Answer:
[tex]f(x) = e^x[/tex]
Step-by-step explanation:
Given
Options (a) to (d)
Required
Which is a parent function
A parent function is such that has a single term without coefficients
From the list of given options
[tex]f(x) = e^x[/tex] suits the above definition
Other options (b) to (d) either have coefficients, or have multiple terms
What's 672 divided by 32
Answer:
the answer is 21
Step-by-step explanation:
(6.673×10−11^-^11)(7.2×10^22)/1700000
Answer:
see above there is answer
Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 3 months, and 1 airline to choose from. How many different vacation packages do they offer?
=___
Is this table a function why or why not?
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?
A. 1/5
B. 5
C. 1
D. 1/25
Answer:
1/5
Step-by-step explanation:
because multiply any different copies by 1/5 to get the cost of the print shop
Josh and Alex went to an ice cream van.
Josh bought an ice-lolly for £1.50 and Alex’s ice cream costs £2.00.
How much change would they get from £5.00?
£1.50
£2.50
£3.00
Answer:
$1.50
Step-by-step explanation:
The change would be $1.50 because $5.00 - $3.50 = $1.50
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
is it a,b,c or d?
Answer:
5
5 1/2
6 1/2
Step-by-step explanation:
Let n=1
a1 = 5+(1-1)*(1/6)
a1 = 5
Let n=4
a4 = 5+(4-1)*(1/6)
a4 = 5 +3(1/6)
a4 = 5+1/2 = 5 1/2
Let n=10
a10 = 5+(10-1)*(1/6)
a10 = 5 +9(1/6)
a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
Algebraic math question
Answer:
[tex] 7 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the trapezoidal table
[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]
[tex] = 7 \: {ft}^{2} [/tex]
Answer:
7 ft squared
Step-by-step explanation:
Area of the trapezoidal table
if y varies directly as x, and y = 10 when x = 9, find y when x = 1/9
Answer:
10/81
Step-by-step explanation:
let,
y=kx
y=10 when x=9
so,
10=k×9
or, k=10/9
when x=1/9
y=kx
or, y=(10/9)×(1/9)
or, y=10/81
The value of a gold coin picturing the head of the Roman Emperor Vespasian is increasing at the rate of 11% per year. If the coin is worth $135 now, what will it be worth in 12 years?
Answer:
[tex]A = 135(1.11)^{12}[/tex]
A= $472.29
Step-by-step explanation:
The legs of a right triangle are x + 1 and x + 4. What is the area of the triangle?
Answer:
(x^2 + 5x + 4) : 2
Step-by-step explanation:
Find the number of possible ways one can choose marbles from a bag containing three marbles: a) if the order is important b) if the order is not important.
Answer:
There are 3 marbles, that we assume are different.
Let's define them as marble 1, marble 2, and marble 3.
a) If the order is important, and we select the 3 marbles, then:
for the first marble, we have 3 options.
For the second marble, we have 2 options (because one is already taken)
for the third marble is only one option.
The total number of combinations is equal to the product between the numbers of options, so in this case, we have:
C = 3*2*1 = 6 combinations.
Now, if we only select 2 marbles from the bag, we have:
for the first marble, we have 3 options.
For the second marble, we have 2 options
Here the number of different combinations is:
C = 3*2 = 6 combinations.
And if we select only one marble from the bag, we have:
for the first marble, we have 3 options.
Then here are only 3 combinations.
the total number of combinations is:
C' = 6 + 6 + 3 = 15 different combinations.
b) If the order is not important, then there is only one combination when we draw the 3 marbles.
When we draw one marble there are 3 combinations (one for each marble)
When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)
then the total number of combinations in this case is:
C = 1 + 3 + 3 = 7
Radio signals travel at a rate of 3x10^8 meters per second how many seconds would it take for a radio signal to travel from a satellite to the surface of the earth if the satellite is orbiting at a height of 3.6x10^7 meters
Answer:
1.2x10^-1 seconds
Step-by-step explanation:
Answer:
0.12 seconds
Step-by-step explanation:
just think - how long does it take you to travel for example 30 km, if you are going 60 km/h ?
you have to divide 30 by 60 and get 0.5 or 1/2. meaning it takes you (logically) 30 minutes or half an hour to do so.
it is the same principle for all these kinds of questions.
we only need to keep an eye on the dimension of what we are talking about. is it hours or seconds ? meters or kilometers ? and do in
we need here to focus on seconds and to calculate
3.6×10⁷ / 3×10⁸ = 3.6 / 3×10¹ = 1.2 / 10 = 0.12 seconds
or
[tex]1.2 \times {10}^{ - 1} [/tex]
seconds
Alex is twice as old as Bernard and Calvin is 8 years younger than Alex. If the sum of their ages is 52, how old are they?
Answer:
Currently, Alex is 32 years old. His son is 8 years old,
Solution: denote the age of Alex’s son as ‘x’. Alex’s age is 4x
In 16 years, Alex’s age will be 4x + 16. His son’s age will be x + 16
4x + 16 = 2(x+16). solving this equation yields:
4x + 16 = 2x + 32. Grouping like terms algebraically gives: 2x = 16
Thus x = 16/2 = 8. 4(8) = 32
Answer:
Alex is 24, Bernard is 12, and Calvin is 16.
Step-by-step explanation:
Let Alex's age be A, Bernard's age be B, and Calvin's age be C.
We can write equations to model each situation.
Alex is twice as old as Bernard. In other words:
[tex]A=2B[/tex]
Calvin is eight year younger than Alex. In other words:
[tex]C = A - 8[/tex]
And the sum of all their ages is 52. Therefore:
[tex]A + B + C = 52[/tex]
This is a triple system of equations. We can solve it by substitution. Substitution A and C:
[tex](2B)+B+(A-8)= 52[/tex]
Substitute:
[tex]2B+ B + (2B) -8 = 52[/tex]
Combine like terms:
[tex]5B-8=52[/tex]
Solve for B. Add 8 to both sides:
[tex]5B = 60[/tex]
And divide both sides by five:
[tex]B=12[/tex]
Therefore, Bernard is 12 years old.
Since Alex is twice as old as Bernard, Alex must be 24 years old.
And since Calvin is eight years younger than Alex, Calvin is 16.
In conclusion, Alex is 24, Bernard is 12, and Calvin is 16.
