Answer:
the points are :
(0,-1)
(0,0)
(-1,3)
(If you are using MathsWatch) For this question the triangle gets smaller so i'm not sure why it says Enlarge the triangle.
To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), multiply the coordinates of each vertex by 0.5 and add 3 to the x-coordinate and 1 to the y-coordinate.
Explanation:To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), you will need to multiply the x-coordinate and y-coordinate of each vertex of the triangle by 0.5 and then add 3 to the x-coordinate and 1 to the y-coordinate. This will give you the new coordinates for the enlarged triangle. For example, if the original triangle has vertices A(1,2), B(3,4), and C(5,6), the new coordinates for the enlarged triangle will be A'(3.5,2.5), B'(4.5,3.5), and C'(5.5,4.5).
Learn more about Enlargement of a triangle here:
https://brainly.com/question/30240796
#SPJ3
if there are 10 apples in the fridge and 7 on the table what is the ratio of apples in the fridge to apples on the table
Answer:
The correct answer would be 10 : 7
( OPINION ) I say this because we are comparing the apples in the fridge(10) to the apples on the table(7).
I hope this was helpful :3
STAY SAFE!! :)
The ratio of apples in the fridge to apples on the table is 10:7. This is calculated by dividing the number of apples in the fridge by the number on the table.
Explanation:The question asks for the ratio of apples in the fridge to the apples on the table. In order to solve this, you need to understand what a ratio is. A ratio is a way of comparing quantities. Here, the quantity being compared is apples: those in the fridge versus those on the table.
To calculate the ratio, you simply divide the first quantity by the second quantity. So in this case, you have 10 apples in the fridge and 7 apples on the table.
The ratio is therefore 10/7. This can also be written as 10:7.
Learn more about ratios here:https://brainly.com/question/32531170
#SPJ3
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table
below and used the shaded columns to calculate three sample means. What is the range of the values for the sample
means?
Hours of Swim Practice
ON
00
5
Answer:
C
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
2
i dont know the answer please help me
Need Help What is l9l
Answer:
the absolute value of l9l is 9
Step-by-step explanation:
because if you look on a number line when you are calculating the absolute value it is how many numbers away from zero so it is always positive.
Answer: +9
Step-by-step explanation: When an integer is written with vertical bars on either side, it means that we take the absolute value of that integer.
The absolute value of an integer is its
distance from zero on a number line.
|9| is +9 because it's 9 units from zero on the number line.
Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6
Answer:
-6 is the slope
Step-by-step explanation:
y = −6x + 5
This is of the form
y = mx+b where m is the slope and b is the y intercept
-6 is the slope and 5 is the y intercept
What does (3x-1)^2 equal?
Look at the attached picture ⤴
Hope it will help u ....
Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which equation shows the result?
Answer:
1. 2=1
2. No Solution
Step-by-step explanation:
edge 2022
The equation that shows the result as per the given scenario is 2=1. The correct option is A.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.
Given,
Equation = [tex](1/5000)^{2z}X5000^{2z+2}[/tex]
We have to rewrite the given equation so there is a single power of 5,000 on each side.
[tex]1/a^n=a^{-n}\\\\a^m/a^n=a^{a-n}\\\\a^mXa^n=a^{m+n[/tex]
So,
[tex](1/5000)^{2z}X5000^{2z+2}=5000[/tex]
[tex]5000^{-2z}X5000^{2z+2}=5000[/tex]
[tex]5000^{-2z+2z+2}=5000^1[/tex]
By this,
-2z+2z+2=1,
Thus, the value can be 2=1, so the correct option is A.
For more details regarding equation, visit:
https://brainly.com/question/29657983
#SPJ2
Your question seems incomplete, the complete question is:
Rewrite the given equation so there is a single power of 5,000 on each side. then, set the exponents equal to each other.
(1/5000)^2z · 5000^2z+2 = 5000
which equation shows the result?
a) 2=1
b) z=1
c) -4z+2=1
d) -4z+1=1
Write an equation to solve
The library bought books at $15 each and a video rack for $35. These purchases cost $395 altogether. How many books were bought?
Answer:
24 books
steps:
If we take the amount 395 and subtract 35, we get a total that is unaffected by the video rack, and can be easily answered now
The total is 360, we are now able to divide 360 by 15, getting the total of 24 books
i need help please for this picture
Answer:
3,500
Step-by-step explanation:
Find the slope of the line that goes through the points (-3, -4) and (0, -1).
A. LaTeX: \frac{4}{3}4 3
B. -1
C. LaTeX: \frac{3}{4}3 4
D. 1
Answer:
D
Step-by-step explanation:
The slope is the change in y-coordinates divided by the change in x-coordinates.
Here, the y-coordinates are -4 and -1, and the x-coordinates are -3 and 0, so:
slope = m = (-4 - (-1)) / (-3 - 0) = -3 / -3 = 1
The slope is thus 1, so the answer is D.
We can use the points (-3, -4) and (0, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-(-4)/0-(-3)
= 3/3
= 1 (Option D)
Best of Luck!
If cos θ = 1/6, what are the values of sin θ and tan θ?
Answer:
Concept :
Use the Pythagoras Theorem and collect the values of hypotenuse , perpendicular and base.Use the formula of sinθ and tanθ✧Thorough solution is provided in the attachment.
Don't hesistate to reach out to me if you have further queries! Have fun studying! <3
The values of [tex]\( \sin \theta \)[/tex] are [tex]\( \frac{\sqrt{35}}{6} \)[/tex] and [tex]\( -\frac{\sqrt{35}}{6} \)[/tex], and the value of [tex]\( \tan \theta \)[/tex] is [tex]\( \sqrt{35} \)[/tex].
Given that [tex]\( \cos \theta = \frac{1}{6} \)[/tex], we need to find [tex]\( \sin \theta \)[/tex] and [tex]\( \tan \theta \)[/tex].
First, we can find [tex]\( \sin \theta \)[/tex] using the Pythagorean identity:
[tex]\[\sin^2 \theta + \cos^2 \theta = 1\][/tex]
Substitute [tex]\( \cos \theta = \frac{1}{6} \)[/tex]:
[tex]\[\sin^2 \theta + \left(\frac{1}{6}\right)^2 = 1\][/tex]
[tex]\[\sin^2 \theta + \frac{1}{36} = 1\][/tex]
[tex]\[\sin^2 \theta = 1 - \frac{1}{36} = \frac{36}{36} - \frac{1}{36} = \frac{35}{36}\][/tex]
[tex]\[\sin \theta = \pm \sqrt{\frac{35}{36}} = \pm \frac{\sqrt{35}}{6}\][/tex]
So, [tex]\( \sin \theta \)[/tex] could be [tex]\( \frac{\sqrt{35}}{6} \)[/tex] or [tex]\( -\frac{\sqrt{35}}{6} \)[/tex].
Next, to find [tex]\( \tan \theta \)[/tex], we use the definition:
[tex]\[\tan \theta = \frac{\sin \theta}{\cos \theta}\][/tex]
Substitute [tex]\( \sin \theta = \pm \frac{\sqrt{35}}{6} \) and \( \cos \theta = \frac{1}{6} \)[/tex]:
[tex]\[\tan \theta = \frac{\frac{\sqrt{35}}{6}}{\frac{1}{6}} = \sqrt{35}\][/tex]
Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.
What type of function is represented?
exponential
quadratic
linear
logarithmic
Answer:
quadratic
Step-by-step explanation:
i just took it on edge
Answer:
Step-by-step explanation:
What is the surface area of the triangular prism?
square feet ___
Answer: 168 because (9 × 6) + (9 × 5) + (9 × 5) + (6 × 4 × 0.5) + (6 × 4 × 0.5) equals 168 :) good day humans
Im new to this but the question said "Fill in the boxes with values that make the statement true." can someone help?
Answer:
p^8 q^3
Step-by-step explanation:
When dividing exponents, you subtract the numerator by the denominator.
Example: Look at p. 5-(-3) will result with p^8. For q, find what subtracted from 6 will make 3.
Answer: [tex]q^3[/tex] and [tex]p^8[/tex]
When dividing exponents, if they have the same base, you subtract the exponents. For example, [tex]\frac{a^x}{a^y}[/tex] has the same base of [tex]a[/tex], so the answer would be [tex]a^{x-y}[/tex].
[tex]q^{6-3}[/tex] = [tex]q^3[/tex]
[tex]p^{5-(-3)}[/tex] = [tex]p^{5+3}[/tex] = [tex]p^8[/tex]
What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41
Upper Quartile: 38
Lower Quartile: 19
The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
Answer:
Upper Quartile = 38Lower Quartile = 19Step-by-step explanation:
The upper quartile is the median of the upper half of a data set.
The lower quartile value is the median of the lower half of the data.
£ represents a group of 30 people that visited paris for a weekend break. 13 of the group visited the eiffel tower (ET) 16 of the group visited the no tre-dame cathedral (NDC) 7 of the group did not visit either of these places a person is chosen at random from the group. what is the probability that this person only visited one of the two places?
Answer:
Step-by-step explanation:
The probability that a person chosen at random from a group of 30 people only visited one of the two landmarks, the Eiffel Tower or the Notre-Dame Cathedral in Paris, is 17/30.
To calculate the probability that a person in a group of 30 people who visited Paris only visited one of the two landmarks - the Eiffel Tower (ET) or the Notre-Dame Cathedral (NDC), we need to apply the principles of set theory and probability.
Firstly, we know that:
13 visited the ET
16 visited the NDC
7 did not visit either place
Adding the numbers of visitors to both places gives us a total of 29 (13 ET + 16 NDC). However, the total number of people is 30, and 7 did not visit either, which implies that 23 people (30 - 7) visited at least one site. Therefore, 29 - 23 gives us 6 people who have visited both places.
To find the number who visited only one place, we subtract those who visited both from the total who visited each:
For ET only: 13 (visited ET) - 6 (visited both) = 7
For NDC only: 16 (visited NDC) - 6 (visited both) = 10
Adding these gives us 17 (7 ET only + 10 NDC only) who visited just one site. Hence, the probability that a person chosen at random visited only one of the two places is:
P(visited only one site) = Number who visited only one site / Total number of people
P(visited only one site) = 17 / 30
Therefore, the probability is 17/30.
What is the mean price for the sneakers?
Answer:
38
Step-by-step explanation:
You need to add all of numbers together and then divide by the total number of numbers.
Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.
A 12 foot ladder is placed 4 foot from the bottom of the house. How high will the ladder reach the house?
Answer:
11.31 ft
Step-by-step explanation:
Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.
Let the ladder reaches x ft height of the house.
Hence, by Pythagoras theorem:
[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]
Hence, the ladder reaches 11.31 ft height of the house.
What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
units
Final answer:
The distance between the points (-5,3) and (1,-1) is found using the distance formula and is approximately 7.2 units when rounded to the nearest tenth.
Explanation:
To find the distance between two points (-5,3) and (1,-1), we can use the distance formula: √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we get the distance as √((1 - (-5))² + (-1 - 3)²) = √(6² + (-4)²) = √(36 + 16) = √52. To round to the nearest tenth, we calculate √52 and find it is approximately 7.2. Therefore, the distance between the points, rounded to the nearest tenth, is 7.2 units.
I need help ASAP!!!!
Answer:
A
Step-by-step explanation:
1/1-2/5
a round clock has a radius of 5 cm. what is the approximate area of the clock? use 3.14
Answer:
78.5 cm^2
Step-by-step explanation:
The area of a circle can be found using:
[tex]a=\pi r^2[/tex]
We know that the radius is 5 cm. We also know that we are using 3.14 for pi. Therefore, we can substitute 5 in for r, and 3.14 in for pi.
a=3.14*5^2
Evaluate the exponent
a=3.14*(5*5)
a=3.14*25
Multiply
a=78.5
The area of the clock is 78.5 cm^2
A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit.
Answer:
47 inches.
I hope this helped!! :3
Edit- to find the height of a rectangular prism with a known volume, use the formula
V= AH.
3995= lwH
3995= 85h
If you don’t have the area, multiply the width and the length of one side to get that value.
The difference in their ages is 12 and the sum of their ages is 50. Find the age of each. Jim is older than Ken.
Answer:
REMA = 31
KEN = 19
Step-by-step explanation:
Let R be Rema
Let K be Ken
R+K = 50
R-K= 12
R-12= K
R+ R-12= 50
2R= 50+12
2R= 62
R= 31
R- 12= K
31-12= K
19= K
An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vitamin c is left after 6 hours?
Answer:
1
Step-by-step explanation:
Answer:
51.24 mg
Step-by-step explanation:
400 x (0.71^6) = 51.24
Which number line shows the solution set for |8 - 2p| = 6
A) Number Line 1
B) Number Line 2
C) Number Line 3
D) Number Line 4
Answer:
B) And D)
Step-by-step explanation:
8-2x1 = 6
Option B number line shows the solution set for |8 - 2p| = 6
What is number line?A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.
According to the question the given expression is |8 - 2p| = 6
Here the value of "p" is unknown. We have to assume a number and equate it to 6.
Let "p" be ±2, On applying ±2 in the set |8 - 2(±2)| =0
so not ±2
Now assume ±1, On applying ±1 in the set |8 - 2(±1)| =6
Value ±1 is shown in the 2nd number line.
Thus the correct option is B
To know more about number line click here
https://brainly.com/question/24279896
#SPJ2
Bob's Burgers surveyed a random sample of 70 Sunset Park Food Festival
attendees about their favorite type of burger. Of the attendees surveyed,
32 said that bacon cheeseburgers were their favorite type of burgers.
There are 1400 Sunset Park Food Festival attendees. Based on the data,
what is the most reasonable estimate for the number of Sunset Park Food
Festival attendees whose favorite type of burger is a sausage bacon
cheeseburger? *
Answer:
The most reasonable estimate for the number of Sunset Park Food Festival attendees whose favorite type of burger is a sausage bacon cheeseburger is 760.
Step-by-step explanation:
Assume that Bob's Burgers provides two types of burgers:
Bacon cheeseburgers (B)Sausage bacon cheeseburger (S)Of the random sample of N = 70 attendees, the number of people who said that bacon cheeseburgers were their favorite type of burgers is 32.
Then the number of people who said that sausage bacon cheeseburgers were their favorite type of burgers is, n (S) = 70 - 32 = 38.
Compute the probability that a randomly selected attendee like sausage bacon cheeseburger as follows:
[tex]P(S) = \frac{n(S)}{N}=\farc{38}{70}=0.543[/tex]
It is provided that there are 1400 Sunset Park Food Festival attendees.
Let the random variable X be defined as the number of attendee who likes sausage bacon cheeseburgers.
Then the random variable X will follows a Binomial distribution with parameter n = 1400 and p = 0.543.
This is because, there are a fixed number of trial in the experiment, each trial has the same number of outcomes, i.e. a person either likes bacon cheeseburgers or sausage bacon cheeseburgers and each trial has the same probability of success, i.e. P (S).
The expected value of a Binomial random variable is:
[tex]E(X)=n\times p[/tex]
Compute the expected number of attendees whose favorite type of burger is a sausage bacon cheeseburger as follows:
[tex]E(X)=n\times p[/tex]
[tex]=1400\times 0.543\\=760.2\\\approx 760[/tex]
Thus, the most reasonable estimate for the number of Sunset Park Food Festival attendees whose favorite type of burger is a sausage bacon cheeseburger is 760.
What is the simplified form of this expression? (8x − 7) + (-2x − 9) − (4x − 3) A. 2x – 13 B. 2x − 19 C. 2x − 5 D. 2x + 1
Answer:
A. 2x-13
Step-by-step explanation:
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
2x^2−5x+1=0
Enter your answers in the boxes.
x =
or x =
The solutions to the quadratic equation are x= 0.22 and x= -0.22.
The given quadratic formula is 2x²-5x+1=0.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
Here, x= [5± √(25 - 4×2×1)]/2×2
x= [5± √(25 - 8)]/4
x= (5± √17)/4
x= (5± 4.12)/4
x= 0.88/4 and x= -0.88/4
x= 0.22 and x= -0.22
Therefore, the solutions to the quadratic equation are x= 0.22 and x= -0.22.
To learn more about the quadratic formula visit:
https://brainly.com/question/11540485.
#SPJ2
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
the numbers formed must be divisible by 25
or
the odd digits must occupy even positions (i.e. 2nd, 4th, and 6th) and the even digits must occupy odd positions (i.e. 1st, 3rd and 5th)
Answer:
case 1 = 2592
case 2 = 729
case 1 + case 2 = 2916
(this is not a direct adition, because case 1 and case 2 have some shared elements)
Step-by-step explanation:
Case 1)
6 digits numbers that can be divided by 25.
For the first four positions, we can use any of the 6 given numbers.
For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.
The only two that we can create with the numbers given are 25 and 75.
So for the fifth position we have 2 options, 2 or 7,
and for the last position we have only one option, 5.
Then the total number of combinations is:
C = 6*6*6*6*2*1 = 2592
case 2)
The even numbers are 2,4 and 6
the odd numbers are 3, 5 and 7.
For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:
3*3*3
For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:
3*3*3
we can put those two togheter and get that the total number of combinations is:
C = 3*3*3*3*3*3 = 3^6 = 729
If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position
Then the number of combinations is
C = 3*3*3*3*2*2 = 324
Case 1 + case 2 = 324 + 2592 = 2916
Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
5 units.
Step-by-step explanation:
For this problem, you will need to use the distance formula. The distance formula is as shown:
d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]
We can plug in the points which would result in:
d= [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]
When solved:
d= [tex]\sqrt{25}[/tex]
d= 5 units