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\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)
Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).
\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond\)
Point-slope form:-
\(\sf{y-y_1=m(x-x_1)}\)
Substitute 1 for y₁, 2 for m, and 0 for x₁:-
\(\sf{y-1=2(x-0)}\)
So we conclude that Option B is correct.
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which of the following are equation for the line shown below.(-2,4) and 1,-5)
x2 + 2x = 15
PLZ HELP ME
the square mil area for a 2 inch wide by 1/4 inch thick copper busbar = ? square mils.
The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.
How to find the square mil area of a copper busbar?To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.
1 inch = 1000 mils
So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils
And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils
Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.
Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.
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LAn airplane takes 5 hours to travel a distance of 3800 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane instill air and what is the rate of the wind?
95076Solution
For this case we can create the following notation:
a= airplane speed =
w= wind speed
a+w = velocity with wind speed
a-w= velocity against wind speed
The definition of Distance is given by:
d= vt
Solving for t we got:
t= d/v
Using the information given we have these conditions:
d= 3800 km
4= 3800/ (a+w)
Solving we have:
4a +4w = 3800
Dividing by 4 both sides we got:
a+w= 950 (1)
5= 3800/ (a-w)
5a -5w = 3800
a-w = 760 (2)
Solving for a from the second equation we have:
a= 760+w (3)
And replacing into the first equation we got:
760+w +w= 950
2w=190
w= 95
a= 855
a+w=
Arturo was comparing the price of apple juice at two stores. The equation y=0.29x represents what Arturo would pay in dollars and cents, y, for x bottles of apple juice at store A. Arturo can buy 13 bottles of apple juice at Store B for a total cost of $8.84. How much more is a bottle of apple juice at Store B than at Store A?
Answer:
$0.39
Step-by-step explanation:
First find the unit rate for store B ( $8.84/13)
At store B Artuto spends $0.68 for one bottle of apple juice
At store A they spent $0.29
0.68-0.29= 0.39
80% off of the sale price $90 what is the original price
Answer: So that means the answer is $112.5
Step-by-step explanation:Percent of Discount is 80%. Sale Price is $90. The original price,. = 90 x 100 / 80. = 9000/80. = 112.5. Therefore, $112.5 is the original price.
YES THIS IS RIGHT!!!!
Pleaseeeeeee helppppppppppppp
write 5 3/6 as an improper fraction
Answer:
33/6
Step-by-step explanation:
Multiply the whole number and denominator, then add the numerator. Put that number over the original denominator of the mixed fraction
Multiply 5 and 6
5*6=30
Add 3
30+3=33
Add the denominator
33/6
Answer: 33/6(33 over 6)
SHOW YOUR WORK FOR EACH ONE!
5. 10(x − 1)
6) −7(1 + 4x)
7) 7(−v − 7)
8) 7(2 − x)
9) 4(−7 − x)
10) 5(k − 5)
Answer:
PLZ MARK BRAINLIEST
Step-by-step explanation:
5. Distribute 10 (x - 1 )
10x - 10 = 10x -10
6. -7 (1+4x)
-7 ( 4x +1)
= -28x -7
7. 7 (-v-7)
= - 7v - 49
8. 7 ( 2 - x )
7 (- x + 2 )
= - 7 x + 14
9. 4 ( - 7 - x )
4 ( - x - 7)
= -4 x -28
10. 5 ( k - 5 )
5k - 25
= 5k - 25
1. Suppose you have been assigned to measure the height of the local water tower.
Climbing makes you dizzy, so you decide to do the whole job at ground level.
From a point 47.3 meters from the base of the water tower, you find that you must
look up at an angle of 53° to see the top of the tower. How tall is the tower? Draw
the triangle.
The height of the water tower is approximately 63.08 meters.
How to solve for the height of the towerYou can use the tangent function to find the height of the tower.
tangent(θ) = opposite / adjacent
In this case, θ = 53°, opposite = height of the tower (h), and adjacent = 47.3 meters.
tan(53°) = h / 47.3
To find the height, h, multiply both sides by 47.3:
h = 47.3 * tan(53°)
Using a calculator to find the tangent of 53°:
h ≈ 47.3 * 1.3338
h ≈ 63.08
The height of the water tower is approximately 63.08 meters.
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Translate the sentence to an equality a number c increased by 2 is less than or equal to -15
Answer:
c+2 \(\leq\) -15
Step-by-step explanation:
increased by means "+"
less than or equal to means "\(\leq\)"
In circle S with m ∠ R S T = 98 m∠RST=98 and R S = 4 RS=4 units, find the length of arc RT. Round to the nearest hundredth.
Answer:6.84
Step-by-step explanation:
:)
Determine the equation of the circle graphed below
The equation of the circle graphed here is (x + 3)² + (y - 5)² = 20.
Given a circle.
We have to find the equation of the circle.
Center of the circle = (-3, 5)
A point on the circle is also given as (1, 7).
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
(x, y) is any point on the circle.
Substituting the center and the point of the given circle, we get,
(1 - -3)² + (7 - 5)² = r²
16 + 4 = r²
20 = r²
So the equation of the circle is,
(x - -3)² + (y - 5)² = 20
(x + 3)² + (y - 5)² = 20
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Find the measure of the angle indicated in bold. #5
Answer:
90°
Step-by-step explanation:
16x - 6 and 15x are alternate angles and are congruent, then
16x - 6 = 15x ( subtract 15x from both sides )
x - 6 = 0 ( add 6 to both sides )
x = 6
Then
16x - 6 = 16(6) - 6 = 96 - 6 = 90°
Graph y=-1/2x^2-1. Identify the vertex of the graph. tell whether it is a minimum or maximum.
Answer:
Graph shown below.
Step-by-step explanation:
The vertex is at (0, -1).
It is a maximum.
To find the quotient of 3 divided by one-sixtto find the quotient three-fourths divided by one-eighth,h, multiply 3 by
The quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
How to find the quotientFrom the given equation, we have to find
= 3/4 ÷ 1/8
First , we take the denominator of the second fraction to be the numerator, we have
=
\( \frac{3}{4} \times \frac{8}{1} \)
Multiply through
=
\( \frac{24}{4} \)
=
\(6\)
To find the quotient of 3 by 1/6
=
\(3 \times \frac{1}{6} \)
=
\( \frac{3}{6} \)
=
\( \frac{1}{2} \)
Thus, the quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
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Who do you think killed Jody Woah??
Answer:
who is he?
Step-by-step explanation:
alice has 24 apples. in how many ways can she share them with becky and chris so that each of the people has at least 2 apples?
Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.
The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190
Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."
Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.
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Miranda has $50 to buy 6 swim caps for the members of a swim team.
Which expression shows the amount of money she will have left if each swim cap costs c dollars?
Answer:
50÷6=8 R2
Step-by-step explanation:
8
6 ⟌50 R2
- 0
-------------
50
-48
--------------
2
So, Miranda will have $8 left to buy.
re! Σ 209 A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus was 60 mph. The speed of the truck was 45 mph. It took kids 3 hours to reach the camp. How long did they have to wait for their bags?
how many digits are in e2020?
2021 878 877 2020
e2020 has 707 digits.
e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.
Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.
To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.
This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.
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after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?
Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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What is the total area of the figure below?
Answer:
D
Step-by-step explanation:
28×14=392, which generally already gives you the answer. But the extra area is a trapezoid so we do 4+6=10×2(height)=20, but we have to divide by two since its a trapezoid giving us 10. So 10+392=402
Please Help
Will give brainliest
Answer:
D. x^4
Step-by-step explanation:
♪\(*^▽^*)/\(*^▽^*)/
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
Im pretty desprate! HELP ASAP!!!
Step-by-step explanation:
Complete steps 2 and 3 to solve the system of equations.
y = 4x – 5,
y = –3
Answer:
Point form: (\(\frac{1}{2}\),-3)
Equation form: x=1/2 y=-3
Step-by-step explanation:
hope it helps ;)
Can someone please help i will mark brainliest i need help asap.
Answer:
14.3
Step-by-step explanation:
14.3
Answer:
13 inches or 13.3 feet
Step-by-step explanation:
:)
PLS HELP ASAP!!!!
Translate the sentence into an equation.
Three less than the product of 7 and a number equals 9 .
Use the variable W for the unknown number.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
This means the opposite angles are equal to
The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
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