Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
You are calculating how many seats there are at Wrigley
Field in Chicago, Illinois. You count that there are 1,487 rows
Each row has 28 seats.
How many seats are there in the whole field?
Answer:
41,636
Step-by-step explanation:
Easy, on each row, there are 28 seats, and we know there's 1487 rows in total.
Hence, number of rows multiplied by number of seats counted
1487 × 28
=41,636
(Dang, that's alot of seats then)
you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.
Answer:
The time wil be 1:45
Step-by-step explanation:
4:45 + 6 hours is 10:45
But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!
Hope this helps!!
here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4
Answer:
(1.2, 1.6)
Step-by-step explanation:
Rewrite both equations to make y the subject:
Equation 1: 3x - y = 2
⇒ 3x = 2 + y
⇒ y = 3x - 2
This line has a positive slope.
Equation 2: 2x + y = 4
⇒ y = -2x + 4
This line has a negative slope.
Therefore, the graph that has been plotted is y = 3x - 2
Plotting second graph
Equation of the line: y = -2x + 4
Input x = 0 into the equation and solve to find the y-intercept:
⇒ y = -2(0) + 4 = 4
Therefore, the y-intercept is (0, 4)
Input y = 0 into the equation and solve to find the x-intercept:
⇒ 0 = -2x + 4
⇒ 2x = 4
⇒ x = 2
Therefore, the x-intercept is (2, 0)
Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.
The solution to the system is the point of intersection of the two lines. From inspection of the graph, this is (1.2, 1.6)
------------------------------------------------------------------------------------------------
Solving algebraically
Equation 1: 3x - y = 2
Equation 2: 2x + y = 4
Sum the equations to eliminate y:
[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]
Solve for x:
[tex]\implies x=\dfrac65=1.2[/tex]
Substitute found value of x into one of the equations and solve for y:
[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]
So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)
What is the volume of the water in the tank?
Answer:
1008 in^3
Step-by-step explanation:
V= l*w*h
12.8*10.5*15=2016 in^3
The tank is half full
2016/2= 1008
1008 in^3
The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a
The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The derivation of quadratic formula.In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is given by this equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The sixth step in the derivation is:
[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]
The seventh step in the derivation is:
We would take the square of both sides to have;
[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The eigth step in the derivation is:
We would substract b/2a from both sides to have;
[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The ninth step in the derivation is:
We would find the lowest common multiple (LCM) to have;
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
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Please help me with question 2 with explanation u will get 50 points thanks !!
HOW DO U DO THIS I LITERALLY TRIED EVERYTHING pls explain
Answer:
you just convert them into simple fractions the first one become -1159/9 and second one -790/3.
the difference in thier height is 1211/9.
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)
Using it's concept, it is found that the probabilities are given by:
a) 0.26 = 26%.
b) 0.179 = 17.9%.
c) 0.615 = 61.5%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:
p = 13/50 = 0.26 = 26%.
Item b:
5 correct translations out of 28, hence:
p = 5/28 = 0.179 = 17.9%.
Item c:
There are 13 correct translations, and of those, 8 are from section 2, hence:
p = 8/13 = 0.615 = 61.5%.
More can be learned about probabilities at https://brainly.com/question/14398287
Which object would weigh closest to 1 ton?
Answer:
The answer is 73 billion bars of gold
I believe it would be a car
Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material holds 75 cubic inches of material, how many bags does Sasha need to buy to fill the space around the photo box?
The number of bags that Sasha would need to fill the space around the photo box is 9 bags.
How many bags would be needed?The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.
Volume = length x width x height
12.5 x 4.2 x 12.5 = 656.25
Bags needed - 656.25 / 75 = 9
To learn more about how to determine the volume of a cuboid, please check: https://brainly.com/question/8890358
WILL GIVE BRAINLIEST
What causes wind?
Question 3 options:
There is an increase in temperature and an increase in density.
An area of high pressure pushes toward an area of low pressure.
An area of low pressure pushes toward an area of high pressure.
An area of high pressure pushes toward an area of low pressure causing wind
I attached a diagram that can hopefully help you visualize the situation
Hope that helps!
Rachel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed
Answer:
[tex]speed= \frac{6.4}{4} = 1.6[/tex]
.....
What is the area of the shape?
Answer:12 units^2
Step-by-step explanation:
2*2=4
2*2*1/2=2
2*6*1/2=6
4+2+6=12
12 units^2
What is the radius of the sphere? Use 3.14 for 7 and round your answer to the nearest
tenth.
O 4.7 m
O 3.4 m
O 6.2 m
O 2.8 m
Answer:
its 3.4 m
Step-by-step explanation:
i had the same test
Answer:
2.8
Step-by-step explanation:
r=(3V4π)⅓=
(3·91.94·π)⅓≈2.79947
I tried other answer, got it wrong, this one is right.
what is 66.6% as a fraction
Answer:
[tex]\frac{333}{500}[/tex]
66% = [tex]\frac{33}{50}[/tex]
In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.
Answer:
66.6% as a fraction is 33/50
Step-by-step explanation:
Using the equation below, what is the
value of p when v = 7?
p = 6v + 21
Answer:
p = 63
Step-by-step explanation:
It is given that the variable v is equal to 7:
v = 7
Plug in 7 for v, and then solve the given equation:
p = 6v + 21
p = 6(7) + 21
Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.
First, multiply 6 with 7:
p = (6 * 7) + 21
p = 42 + 21
Next, add:
p = 42 + 21
p = 63
63 is your answer for p.
~
Answer:
p = 63
Step-by-step explanation:
p = 6(v) = 21
add in 7 in place of v
p = 6(7) + 21
do 6(7)
p = 42 + 21
add those together
p = 63
Here you go! :)
Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)
Answer:
44 litres
Step-by-step explanation:
We subtract the remainders from the amounts.
447 - 7 = 440
577 - 5 = 572
669 - 9 = 660
Now we need the GCF of 440, 572, 660
440 = 2³ × 5 × 11
572 = 2² × 11 × 13
660 = 2² × 3 × 5 × 11
GCF = 2² × 11 = 44
The greatest common factor is 44.
Answer: 44
Check:
447/44 = 10 reminder 7
577/44 = 13 remainder 5
669/44 = 15 remainder 9
+
Sasha earns $10,50 per hour at
her job. She deposits everything she earns into
her savings account. She currently has $150 in
his savings account. Jack earns $9.00 per hour
at his job. He deposits everything he earns into
his savings account. He currently has
$300 in his savings account.
What month will both Sasha and Jack have the
same amount of money in their account?
Plssssss helpp me
if the diameter of the clock face is 10.5 inches, what is the radius?
Answer:
The radius is 5.25
Step-by-step explanation:
The radius is always exactly 1/2 of the diameter!
Hope this helps! <3
I need help, please and thank you
Answer:
See below ↓
Step-by-step explanation:
Problem
[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]Work
[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this caseSolution
[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d
Answer:
c. $77.00
Step-by-step explanation:
The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.
1.86 × $41.40 = $77.00
The helment price will be $77.00 when the CPI is 186.
Answer:
C. $77.00
Step-by-step explanation:
Edge23
34. Find the surface area for the following rectangular prism
[tex] \huge\fbox\green{ANSWER} [/tex]
Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2
[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]
If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
What are the exponential functions?The given exponential functions, f(x) and g(x), are respectively given by:
[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]
[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]
[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at https://brainly.com/question/25537936
Help please I’m not sure what I’m supposed to do
Answer:
6r & 30
Step-by-step explanation:
5(6r+6)
=5*6r+5*6
=30r+30
Find the value of x. 5x° 65°
Answer:
B. 23
Step-by-step explanation:
Total = 180° for a supplementary angle.
5x + 65 = 180
5x = 180 - 65
5x = 115
x = 115/5
x = 23
Answer:
B. 23
Step-by-step explanation:
The sum of the angles that creates a straight line is 180 degrees. So we can write the equation
5x + 65 = 180
Solve for x by first subtracting 65 on both sides
5x = 115
Then divide both sides by 5
x=23
Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar
The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation
How to determine the equation of the Ferris wheel?
From the question, we have the following parameters:
Center (a,b) = (0,0)Radius, r = 5The equation of a circle is represented as:
(x - a)² + (y - b)² = r²
So, we have:
(x - 0)² + (y - 0)² = 5²
Evaluate
x² + y² = 25
Hence, the equation of the Ferris wheel is x² + y² = 25
See attachment for the image of the Ferris wheel
Transformation to a similar circle
Assume that the similar circle has the following parameters:
Center (a,b) = (0,0)Radius, r = 10The equation of the circle would be:
(x - 0)² + (y - 0)² = 10²
Evaluate
x² + y² = 100
Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation
Read more about circle equations at:
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I NEED HELP!!!
Find the value of A,B,C,D,E,F,G,H
Answer:
A = 33
B = 38
C = 5
D = 18
E = 30
F = 79
G = 56
H = 170
Step-by-step explanation:
See attached image.
In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato.
You can also make up your own pizza with extra toppings. You can choose from four
different extra toppings: olives, ham, mushrooms and salami.
Ross wants to order a pizza with two different extra toppings.
How many different combinations can Ross choose from?
The number of different topping combination illustrates combination
Ross have 6 different topping combination to select from
The number of different combinationThe given parameters are:
Extra toppings, n = 4
Toppings to select, r = 2
The number of extra topping that Ross can select is then calculated using the following combination formula
Toppings = nCr
This gives
Toppings = 4C2
Evaluate the combination expression
Toppings = 6
Hence, Ross have 6 different topping combination to select from
Read more about combination at:
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Expand & simplify
4
(
x
+
5
)
+
5
(
x
−
5
)
4(x+5) + 5(x-5)
The first step is to distribute (PEMDAS --> parenthesis)
4x + 20 + 5x - 25 Now combine like terms
9x - 5
Thus, the answer is 9x-5
What is the x -value of the ordered pair (0, 4)?
