Step-by-step explanation:
i hope the illustrations are clear
The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4. Enter your outputs as decimals
Functions can be represented using equations, graphs and tables.
The function is given as:
[tex]a(l) = \frac 12 l^2[/tex]
When l = 1, we have:
[tex]a(1) = \frac 12 \times 1^2[/tex]
[tex]a(1) = 0.5[/tex]
When l = 2, we have:
[tex]a(2) = \frac 12 \times 2^2[/tex]
[tex]a(2) = 2.0[/tex]
When l = 3, we have:
[tex]a(3) = \frac 12 \times 3^2[/tex]
[tex]a(3) = 4.5[/tex]
When l = 4, we have:
[tex]a(4) = \frac 12 \times 4^2[/tex]
[tex]a(4) = 8.0[/tex]
Represent the above results as a table, we have:
l a(l)
1 0.5
2 2.0
3 4.5
4 8.0
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X - 98 + X divided by 2 when x is 300?
will give brainliest
Answer:
441
Step-by-step explanation:
Where you see X, substitute with 300
300-98 + 300÷2
291 + 150
= 441
Answer:
352
Step-by-step explanation:
important info:
x = 300
Solution/Explanation:
300-98+300 ÷ 2=
202+150=
352
Hence, the Answer is 352.
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
Find out more on linear equation at: https://brainly.com/question/14323743
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
The ratio is equivalent to 65:1.Step-by-step explanation:
When we read the question carefully, we get the ratio 330:5
=> 330:5 = 330/5 = 65/1 = 65:1
Conclusion:
Therefore, the ratio is equivalent to 65:1.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the difference in lowest terms. 15/19 - 7/19
Answer: 8/19
Step-by-step explanation:
15/19 - 7/19 = 8/19
8/19 cannot be simplified further
my Christmas present to you
thank you very much for this! :)
The area of a square is 161 m2. Which of the following best represents the perimeter of the square?
Answer:
322m for perimeter
Step-by-step explanation:
161/2 = 80.5
80.5*4 = 322
i think
A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
592
Step-by-step explanation:
0.008(74,000)
592
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
Answer:
592
Step by step explanation:
0.8% = [tex]\frac{8}{1000}[/tex]
8 out of every 1000 trees are old
74 * 8 = 592
H.C.F of 378 and 567 and 252
Answer:
Their highest common factor is the number 9
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)
Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
(4, 4); y = -x + 8
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
Yes, it is a solution to the equation.
Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!
What is 2,200 yards in miles? Round to the nearest tenth of a mile.
Answer:
1.25 mi
Step-by-step explanation:
First, we want to convert a yard into feet; recall 1 yard = 3 feet.
Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.
So 2200*3 =6600, then divide by 5280
6600/5280 = 1.25 mi
2200 yard is 1.25 miles
There are 1.3 miles in 2,200 yards.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
2,200 yards ____(1)
1 mile = 1760 yards _____(2)
Now,
From (1) and (2),
1 mile = 1760 yards
Multiply 2,200/1760 on both sides.
2,200/1760 x 1 mile = 2,200/1760 x 1760 yards
1.25 miles = 2,200 yards
Rounding to the nearest tenths.
1.3 miles = 2,200 yards
Thus,
There are 1.3 miles in 2,200 yards.
Learn more about unit conversion here:
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What is the slope of the line that passes through the points (-4, 3) and (6, -5).
Answer:
-4/5
Step-by-step explanation:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{-5-3}{6-(-4)}[/tex]
m=-8/10
m=-4/5
12 x 3^2 +36
plz help
Answer:
The answer will be 144
Step-by-step explanation:
So first you going to do is solve 3^2 and that will give you 9.
Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.
Answer:
144
Step-by-step explanation:
To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.
The first applicable step of PEMDAS is exponents. So, do 3^2.
12 x 9 + 36Next, multiply 12 x 9
108 + 36Finally, add the last terms
144So, the final answer is 144.
what is 3/4 doubled as a fraction
Answer:
1 2/4.....1 1/2...........6/4
Step-by-step explanation:
add two 3/4.
1 2/4.
It is either 1 1/2, or 6/8. Not enough context is given to decide which, you should be able to figure it out though.
The length of a rectangle is 3 less than twice the width. If the perimeter is 18 cm, what is the area? Show your work and solve using either substitution or elimination.
Answer:
Step-by-step explanation:
1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as
L = 2W + 3
where "twice the width" is 2W and "three more" is just adding 3.
2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle
P = 2W + 2L
set the formula to 36 and that gives us our second equation: 36 = 2W + L
then use substitution do solve
Jessica received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.76 per pound. After buying the coffee, she had $33.44 left on her card. How many pounds of coffee did she buy?
Answer:
Set up an equation
80 dollars is what we started off with
$7.76 per unknown pounds is the money you used
Jessica is left with 33.44 now
80 - 7.76x = 33.44
-80 -80
-7.76x = -46.56
/-7.76 /-7.76
x = 6 pounds
solve for x & y
please and thank you
Answer:
x=10, y=20
Step-by-step explanation:
3x+10=5x-10
2x=20
x=10
4y=5x-10+3x+10
4y=8x
y=2x
y=20
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
What is the greatest common factor of 14, 30, and 40?
Answer:
1x14 1x30 1x40
Step-by-step explanation:
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What is the solution to the following?
HELP !!! HI PLEASE HELP PLEASE I NEED MATH HELP LOL
Answer:
(-1, 0.5)
Step-by-step explanation:
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Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days
Answer:
3 3/8 hours
Step-by-step explanation:
Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8
The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick
Graph y > 1 -3x
A
B
C
Or D
Answer:
D (You got it right.)
Step-by-step explanation:
Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.
PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS
I really need help don’t answer if your not giving the correct answer and it’s explanation!!!!
Answer:
(a) 0.4307
(b) 1.3906
Step-by-step explanation:
(a)[tex]\log_5{2}=\log_5{8^{\frac{1}{3}}}=\dfrac{1}{3}\log_5{8}=\dfrac{1.2920}{3}\approx0.4307[/tex]
__
(b)[tex]\log_5{\dfrac{75}{8}}=\log_5{3\cdot5^2\cdot8^{-1}}=\log_5{3}+2\log_5{5}-\log_5{8}\\\\=0.6826 +2-1.2920=1.3906[/tex]
Write 252 as a product of primes. Use index notation when giving your answer.
Answer:
2^2 * 3^2 * 7
Step-by-step explanation:
Keep dividing by prime numbers:
2 ) 252
2) 126
3) 63
3) 21
7
so 252 = 2*2*3*3*7
= 2^2 * 3^2 * 7
The average diameter of a red blood cell is 0.000007m. calculate the radius. (Use formula: Radius= Diameter/2) Thank you in advance:))
Answer:
Radius = 0.0000035m
Step-by-step explanation:
0.000007m / 2 = Radius
Radius = 0.0000035m
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JK
Solve the inequality d + 6 < 13 for d.
Answer:
[tex]\huge\boxed{\sf d < 7}[/tex]
Step-by-step explanation:
Given inequality is:
d + 6 < 13
Subtract 6 to both sides
d < 13 - 6
d < 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807How can i find the answer to this?
Answer:
Step-by-step explanation:
by the property of corresponding angles (2x +16) and (3x-12) will be equal
working uot from the equation 3x-12 = 2x+16 we get x=28
and we know that 3x-12 and y are supplementry as they form a linear pair
from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108