Answer:
The approximate distance from Panthersville to Falconton is: B: 4.61 miles.
Step-by-step explanation:
Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)
First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )
-To find the distance between the two cities we use the distance formula:
d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.
Once we plug it in we get:
d= √(4 - -3)^2 + (8 - 2) ^2
Then we solve the numbers in the parenthesis (4 - -3) = 7 and (8 - 2) = 6 so now we have:
d= √(7)^2 + (6) ^2
Next we solve for the exponents (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:
d= √49 + 36
After that we just add both numbers together (49 + 36) = 85
d= √85
Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.
So the distance from Panthersville to Heel City is about 9.22 miles.
Now we found the full distance we now need to find the distance from Panthersville to Falconton which is just half of that distance due to Falconton being the midpoint.
All we have to do is divide 9.22 by 2 and we get 4.61.
The distance from Panthersville to Falconton is 4.61 miles.
In the figure below MNOP is a parallelogram. Which of the following statements can be used to
explain why the shaded triangles are congruent?
Answer:
ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.Step-by-step explanation:
According to the choices given, only statements 1 and 3 are correct!
The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
How to solve congruency problems?The correct statement about the shaded triangles to explain the congruency is;
ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.
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Solve for x: x - 15 = -30
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers
Interval:
The Range of f(x) → Range ∈ [- 4, ∞).
We have a graph of a function f(x) given.
We have to determine the range of f(x).
What is Domain and Range of any function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question -
We can see that the function is defined for all values of x (assuming that the graph will continue after the arrows at the top). Hence, the domain of f(x) will be set of all real numbers.
Now, the graph curves back after reaching a minimum value of -4. Therefore, the set of all possible values f(x) takes belongs to the set
[-4, ∞).
Hence, the Range of f(x) → Range ∈ [- 4, ∞)
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Teresita worked part-time for 2 weeks in a pharmacy. During the second week, she worked 13 times the
number of hours that she worked during the first week. If she worked a total of 25 hours during the 2-week
period, how many hours did Teresita work during the second week?
1.8
2.10
3.12
4.15
Option 4 is correct, Teresita worked 15 hours during the second week.
Given that Teresita worked [tex]1\frac{1}{2}[/tex] times the number of hours during the second week.
Therefore, she worked 1.5x hours during the second week.
The total number of hours she worked during the two weeks is given as 25.
So we can set up the equation:
x + 1.5x = 25
Combining like terms, we have:
2.5x = 25
Dividing both sides of the equation by 2.5, we get:
x = 25/2.5
x = 10
Therefore, Teresita worked 10 hours during the first week.
To find the number of hours she worked during the second week, we can substitute this value back into the equation:
1.5x = 1.5 × 10
= 15
Therefore, Teresita worked 15 hours during the second week.
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Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
If two 6-sided dice are rolled, what is the
probability of rolling double 2s?
16.7%
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
Answer:
The answer is 16.7%
Step-by-step explanation:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped
John and Maria want to repaint one of their living room walls, which is 20 feet long by 15 feet
wide. Each quart of paint covers 100 square feet. How many quarts do you suggest they purchase?
(Section 10.7) (1 point)
Answer:
3 quarts.
Step-by-step explanation:
The wall is 20 feet by 15 feet. That means the area of the wall is 20 * 15 = 300 feet squared. Since one quart of paint covers 100 square feet, they will need to purchase 300 / 100 = 3 quarts of paint.
Hope this helps!
14. You bought shoes for $60. They were on sale for 40% off their original price.
a. Write a proportion to solve for the original price of the shoes.
ce to
b. Solve the proportion in part (a).
Step-by-step explanation:
The shoes are bought for $60 and were 40% off which means $60 is 60% of the original price
if 60% = $60 the 100% = $100 (the price of the shoe before discount).
What is the product of the complex numbers 8i and 5i? (1 point)
040
402
40
40i
JUST NEED SOME HELP :(
Answer:
-40
Step-by-step explanation:
8i* 5i
40 i^2
We know that i^2 = -1
40 *-1
-40
Answer:
-40
I hope this helps. i had the same question and it was right
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
we need a picture of the weather data
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!
Triangles △DEF and △ABC are congruent. Which of the following sequences of transformations maps △DEF onto △ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90° rotation about point B.
Sequence B --> A 90° rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A
b) Only sequence B
c) Both
d) Neither
**note: picture attached below.**
The answer is D because then triangles DEF and ABC would map onto one another
What is a Triangle?
Triangle is a plane figure with three straight sides and three angles.
How to determine?The answer is D because then triangles DEF and ABC would map onto one another.
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A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
The volume of a sphere is [tex]\frac{1}{162} \pi[/tex] cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calculations.
Answer:
The radius is 1/6 m
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
1/162 * pi = 4/3 pi r^3
Divide each side by pi
1/162 = 4/3 r^3
Multiply each side by 3/4
3/4 *1/162 =3/4* 4/3 r^3
1/216 = r^3
Take the cube root of each side
(1/216)^ 1/3 = (r^3)^1/3
1/6 = r
The radius is 1/6 m
Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b
Answer: A, B and, C are incorrect, what is D?
Step-by-step explanation:
Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.
Answer:
-2+12=10
-10+20=10
1+9=10
9+1=10
8-(-2)=10
2-(-8)=10
-30+40=10
Step-by-step explanation:
Mathematics, probability and chance Can somebody help me, I always thank and vote
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
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Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.
Answer:
-9x + y = 43
Step-by-step explanation:
We can put the equation into y = mx + b form first, then change it to Ax + By = C
First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)
(-2 - 7) / (-5 + 4)
-9/-1 = 9
We can put this into the equation y = mx + b, along with another point, to find b:
y = mx + b
7 = 9(-4) + b
7 = -36 + b
43 = b
Now, we know the equation will be y = 9x + 43, and we can rearrange this:
Subtract 9x from both sides:
-9x + y = 43 will be the equation of the line
At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.
Answer: 8 hours
Step-by-step explanation:
Let x be the time before they meet ( in hours)
Speed of Sam = 12 mph
Sped of Fred = 9 mph
Distance = Speed × time
Distance covered by Sam in x hours = 12x
Distance covered by Fred in x hours = 9x
(Distance) (rate1) (time1) (rate2) (time2)
Total distance between them: 168 = 12 x + 9 x
[tex]\Rightarrow\ 168= 21x\\\\\Rightarrow\ x=\dfrac{168}{21}=8[/tex]
Hence, the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph. = 8
Please help me on this question
Answer:
The area can be expressed as: [tex]\pi r^2+lw[/tex].
We have l=10, because 18-2(4)
We have w=8, as given.
Thus, the rectangle area is 80.
There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume
80+50.24=130.24.
Rounded to 1 decimal place that is 130.2
Hope this helps :)
Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?
So "MATHCOUNTS" has 10 letters.
And "MATH" has 4 letters.
So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.
But it has to be in order...
There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"
So 1/32 probability of 2/5 is 2/160 or 1/80
The probability of getting the word MATH is 1/80
What is Probability ?The study of likeliness of an event to happen is probability .
It is given that
Total letters in MATHCOUNTS : 10 letters.
Total chances of getting letter M , A , T , H is 4
Probability of getting the letters M , A , T , H is 4/10
= 2 /5
The probability of getting the word MATH is 1
And the total number of ways the letters can be arranged is 2⁴
= 32
The probability of getting the word MATH is
= 1 /32 * 2 /5
=1/80
Therefore , The probability of getting the word MATH is 1/80
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Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
a) ◇G = ◇H - T◇S wiĺl be negative.
b) It will be a spontaneous reaction.
Explanation:
As ◇H is less than 0 and T◇S is greater than 0 so if we put it in the equation we would get the negative maximum result. And when the energies are with negative sign they are said to be spontaneous.
determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
You and your mom enter a drawing with 3 different prizes a total of 9 people enter
Answer:
the probability if that is what you are asking for is 1/3 of winning a prize
Step-by-step explanation:
Answer:
1/3 chance per each person of winning a prize
Step-by-step explanation:
Find the perimeter and area of the shaded region.
Answer:
Perimeter of the shaded region= 22/7cm
Area = 36.48 cm²
Step-by-step explanation:
First of all for the perimeter.
The radius of the arc is 8cm
At an angle of 90°
Perimeter of of the shape is perimeter of the the 2 arc
The both arc are equal so let's determine the perimeter of one first.
Perimeter of the arc= 2πr*(90/360)
Perimeter of the arc= 2*22/7*1/4
Perimeter of the arc= 11/7 cm
Perimeter of the shades region= 2*11/7
Perimeter of the shaded region= 22/7cm
Area of the sector = πr²*(90/360)
Area of the sector= 50.24cm²
Area of non sector= 64-50.24
= 13.76
But non sector is two
Area of non sector= 2*13.76
= 27.52
Area of the shaded region = area of the square -(area of non sector)
= 64-27.52
= 36.48 cm²
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
What is the value of x that makes L1 || L2? please help!! A. 18 B. 12 C. 10 D. 6
Answer:
x = 18
Step-by-step explanation:
Because the 2 lines are parallel we can use same side interior theorem to find x
This would mean the equation is 6x + 30 + 2x + 6 = 180
When you solve that this would be 18
Answer:
x = 18
Step-by-step explanation:
→ Utilise the fact that interior angles add up to 180
6x + 30 + 2x + 6 = 180
→ Simplify
8x + 36 = 180
→ Minus 36 from both sides to isolate 8x
8x = 144
→ Divide both sides by 8 to isolate x
x = 18
Pls answer ASAP TY. TY. TY.
Answer:
x^ -10
Step-by-step explanation:
x^2 * x ^ -12
We know that a^b * a^c = a^ (b+c)
x^2 * x^-12
x^(2+-12)
x^ -10
Answer:
[tex]\frac{1}{x^{10}}[/tex]
Step-by-step explanation:
The two "x" terms are being multiplied, so combine the terms
Subtract the power signs:
[tex]x^2 * x^-12[/tex] = [tex]x^2/x^{12}[/tex]
[tex]x^(2 - 12)[/tex] = [tex]x^-10[/tex]
[tex]x^-10[/tex] = [tex]\frac{1}{x^{10}}[/tex]
[tex]\frac{1}{x^{10}}[/tex] is your answer.
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