Answer: 25
Step-by-step explanation:
Find the distance from (3, 0) to (6,4). That is the side length (s).
Area (A) = s²
[tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\s^2=(x_2-x_1)^2+(y_2-y_1)^2\\\\s^2=(6-3)^2+(4-0)^2\\\\s^2=3^2+4^2\\\\s^2=9+16\\\\s^2=25\\\\\\A=s^2\\\\\large\boxed{A = 25}[/tex]
Answer:
25 units squared
Step-by-step explanation:
Distance between (3, 0) and (6, 4)
√(3-6)²+(0-4)² = 5
Area = 5 * 5 = 25 units squared
Which of the following sequences is not an arithmetic sequence? 0, -2, -4, -6, ... 1, 5, 9, 13, ... 15, 12, 9, 6, ... -1, -2, -4, -8, ...
Answer:
D. -1,-2,-4,-8
Step-by-step explanation:
An arithmetic sequence means that there is a pattern between the numbers that is constant, that deals with either adding or subtracting.
The last sequence here, is not arithmetic because it is being multiplied by 2 every time.
Why or why not should we use the metric system in the U.S.A?
Make sure this your own opinion. 4 - 5 sentences please
Answer:
We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.
Answer:
The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.
Step-by-step explanation:
brainlist plz
Please help soon! Will give 5 starts, thanks, and brainliest! Thank you! The hypotenuse of a right triangle measures 6sqrt(2) inches and one angle is 45 degrees. What is the number of square inches in the area of the triangle?
Answer:
Area = 18 sq. inches
Step-by-step explanation:
Hypotenuse = 6√2
as it is a right angled triangle and one of the angles is 45°,
=> the other angle is also 45°.
According to 45°-45°-90° theorem,
the side is 1/√2 times the hypotenuse.
Therefore, side = 6√2 × 1/√2
=6 inches.
Area of triangle = 1/2 × base × height
= 1/2 × 6 × 6
= 1/2 × 36
=18 sq. inches
If a b and c are three different numbers which of the following equations has infinitely many solutions
a. ax=bx+c
b. ax+b=ax+c
c. ax+b=ax+b
Answer: c ax + b = ax+ b
Step-by-step explanation: Seems like a trick question, especially since Answer c has no c in the equation. But once you put in numbers for a,b,and c, there cannot be infinite solutions for x in the first two examples.
Set up two or three equations and test them as proof.
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac
Greetings from Brasil...
The equation:
X² + 4X + 1 = - 3
X² + 4X + 1 + 3 = 0
X² + 4X + 4 = 0
Δ = b² - 4.a.c
Δ = 4² - 4.1.4
Δ = 0
so we have just 1 solution
X = (- b ± √Δ)2a
X = (- 4 ± √0)2.1
X = - 4/2
X = - 2Answer:
X=-2
Step-by-step explanation:
Use more than one equation.
X=-2
X=2
minus the four from the left over.
answer X=-2
The histogram represents the distributions of boiling
temperatures, in degrees Celsius, of tap water and a
mixture of salt water.
Boiling Temperatures
10
9
8
7
6
Number
of
Trials
5
-Tap Water
Salt Water
4 3
N
1
0
98°C
99 C 100C 101 102 103 104°C
Temperature (°C)
Answer:
The mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Step-by-step explanation:
The complete question is attached below.
From the provided data it can be seen that the distributions of boiling temperatures, in degrees Celsius, of both tap water and a mixture of salt water are approximately symmetric.
It is known that, for a symmetric distribution,
Mean = Median = Mode
The median for the two distributions are:
Median (Tap water) = 100°C
Median (Mixture of salt water) = 102°C
Then the mean for the two distributions would be:
Mean (Tap water) = 100°C
Mean (Mixture of salt water) = 102°C
So, the mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Answer: It's B :)
Step-by-step explanation:
If the public debt in 2006 was $6,783,231,062,743.62 and the budget
for 2007 was in deficit by $595,821,633,586.70, what was the public
debt in 2007? (Include commas.)
Answer:
677,727,284,640,775 ?
Help ASAP in this picture
Answer:
the first choice
Step-by-step explanation:
0.25= 0.25
2/3= 0.3333333
56%= 0.56
0.25<0.33<0.56
If x2 + 6x + 8 = 0 , then x could equal which of the following?
Answer:
x = -4 , -2
Step-by-step explanation:
I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.
In order to do that, you would have to find the multiples of 1 (from x) and 8.
We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.
After doing that, you have to put them like this:
(x + 4)(x + 2)
This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.
(x + 4)(x + 2)=0
Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)
Answer:
x is -2 and -4
10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
Answer:
1. x = 3.
2. x = 9.5.
Step-by-step explanation:
1. 2x + 6 = 12
2x = 6
x = 3.
2. 5x - 15 = 3x + 4
5x - 3x = 4 + 15
2x = 19
x = 9.5.
Hope this helps!
Step-by-step explanation:
1).2x + 6 = 12
Send the constant to the right side of the equation
That's
2x = 12 - 6
2x = 6
Divide both sides by 2
x = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you
Name four fractions whose
values are between 1/7 and 1/5
Answer:
21/140, 22/140, 23/140, 24/140
Step-by-step explanation
7 and 5 have a common multiple of 140.
140/7 = 20 , 20/140
140/5 = 28, 28/140
21, 22, 23, 24, 25, 26, and 27 are all numbers between 20 and 28.
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 [tex]*[/tex] v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Which of the following coordinates represents a point that is collinear with the given points.
(-8, 0) and (4,-3)
O (-4,-1)
O (2,-3)
O (4,-4)
O (-4,1)
Answer:
A) (-4,-1)
Step-by-step explanation:
a line graphed with those coordinates would have a slope of -3/12, or -1/4.
Following that slope, you would go through (-4,-1). So that is the point collinear with the given points.
You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).
Answer:
q(-1)=-2
Step-by-step explanation:
1) flip the equation:
4x+7=-1
2) subtract 7 from both sides:
4x=-8
3) divide both sides by 4:
x=-2
HOPE THIS HELPS!!!! :)
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Look at the triangle:
What is the value of cos xº? (1 point)
A. 8÷17
B. 17 = 8
C. 15 = 17
D. 8 = 15
Answer:
15/17
Step-by-step explanation:
You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Match the number with its opposite.
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
What is the measure of a?
Answer:
a=129
Step-by-step explanation:
the angles are complementary which is is 180
51+a=180
a=180-51
a=129
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
A local hamburger shop sold a combined total of 676 hamburgers and cheeseburgers on Thursday. There were 74 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Thursday?
Answer:
Step-by-step explanation:
no of hamburgers sold = 375
The number of hamburgers sold on Thursday was 375 hamburgers.
How to calculate the number of hamburgers sold?Let us use 'A' to represent the number of hamburgers sold on Thursday and 'C' to represent the number of cheeseburgers sold.
Based on the provided information: Total number of hamburgers and cheeseburgers sold is 676: A + C = 676.
And the number of cheeseburgers sold = 74 less than the number of hamburgers, which is C = A - 74.
We shall solve this system of equations to find A.
Putting the value of C from the second equation into the first equation:
A + (A - 74) = 676.
Simplify:
2A - 74 = 676.
Add 74 to both sides:
2A = 750.
Divide both sides by 2:
A = 375.
Hence, 375 hamburgers were sold on Thursday.
Learn more about system of equations at brainly.com/question/25976025
#SPJ6
If 20a-16=12(3-a), then a=?
a)5/8
b)13/8
c)21/16
d)5/2
ANSWER: B. 13/8
STEP BY STEP THING:
20a−16=12(3−a)
20a−16=−12a+36
32a−16=36
32a=52
32a/32 = 52/32
a = 13/8
Answer:
13/8 or 1.625
Step-by-step explanation:
1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties x=13/8 or 1.625
In Mr. Rojo’s art class, students are asked to create an orange background for their new painting. They mixed red paint and yellow paint to create a shade of orange. The table shows the number of pints of red paint, y, and yellow paint, x, different students used to create the orange color. Pints of Yellow (x) Pints of Red (y) 2 3 3 4.5 4 6 6 9 Identify the equation that relates the number of pints of red and yellow paint used. x=1.5y y=1.5x y=4.5x x=4.5y
Answer:
y = 1.5x.
Step-by-step explanation:
2 yellow (x) 3 red (y) (3 /2 = 1.5)
3 yellow 4.5 red (1.5)
4 yellow 6 red (1.5)
6 yellow 9 red (1.5)
So the equation is
y = 1.5x
Which of the following exponential functions is represented by the graph? Question 7 options: A) ƒ(x) = (1∕5)x B) ƒ(x) = (1∕5)–x C) ƒ(x) = –5x D) ƒ(x) = 5–x
Answer:
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Step-by-step explanation:
Given
The graph above
Required
Determine from the list of options, the function of the graph
To determine the function, we have to test each of the options
But first, we nees to write out the points on the graph
(1,5), (0,1), (-1,1/5) and (-2, 1/25)
A. [tex]f(x) = (\frac{1}{5})^x[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^x[/tex]
[tex]f(1) = (\frac{1}{5})^1[/tex]
[tex]f(1) = (\frac{1}{5})[/tex]
There's no need to check further as the first point doesn't lie on the graph
B. [tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(1) = (\frac{1}{5})^{-1}[/tex]
[tex]f(1) = 1/(\frac{1}{5})[/tex] --- Law of indices
[tex]f(1) = 1*(\frac{5}{1})[/tex]
[tex]f(1) = 1*5[/tex]
[tex]f(1) = 5[/tex]
Point 2: When x = 0, f(x) = 1
[tex]f(0) = (\frac{1}{5})^{-0}[/tex]
[tex]f(0) = (\frac{1}{5})^{0}[/tex]
[tex]f(0) = 1[/tex] --- The expression raise to power 0 is 1
Point 3: When x = -1, x = 1/5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-1) = (\frac{1}{5})^{-(-1)}[/tex]
[tex]f(-1) = (\frac{1}{5})^{1}[/tex] ----- Law of indices
[tex]f(-1) = (\frac{1}{5})[/tex]
Point 4: When x = -2, x = 1/25
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-2) = (\frac{1}{5})^{-(-2)}[/tex]
[tex]f(-2) = (\frac{1}{5})^{2}[/tex] ----- Law of indices
[tex]f(-2) = \frac{1}{5} * \frac{1}{5}[/tex]
[tex]f(-2) = \frac{1}{25}[/tex]
There's no need to check other options as this function satisfy the 4 points on the graph;
Hence;
[tex]f(x) = (\frac{1}{5})^{-x}[/tex] is the exponential function represented on the graph
What is the solution of sqrtx^2+49 = x+5?
Answer:
x = 12/5Step-by-step explanation:
√x² + 49 = x + 5
Square both sides
(√x² + 49)² = ( x + 5)²
x² + 49 = x² + 10x + 25
Simplify
10x = 49 - 25
10x = 24
Divide both sides by 10
x = 12/5Hope this helps you
4) Jacqueline, Hanry, and Stanley bought a pizza pie to share for dinner. Harry ate
1/2 of the pie, and then Jacqueline ate 1/2 of what was left. After Jacqueline
finished, Stanley ate 1/2 of what was left of the pie. What fractional part of the
pizza pie was left after Stanley finished eating? Help please
Answer:
1/8
Step-by-step explanation:
ok so before i start i wanna say that this is gonna get confusing.....
Since the pizza is a whole quantity let us take it as 1.
Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1
= 1/2 × 1 = 1/2
Therefore fraction Harry ate = 1/2
Fraction of pizza left = 1 - 1/2 (LCM = 2)
= 1/2
Jacqueline ate 1/2 of what was left.
So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4
Therefore fraction of pizza left after both Harry and Jacqueline ate =
1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4
Therfore fraction of pizza left = 1/4
Stanley ate 1/2 of what was left.
So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8
Therefore, fraction of pizza left after all three of them ate =
1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8
I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )
Have a nice day!
FIRST GETS BRAINLLESTIf you spin the spinner below 80 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 43 times B) Lands on yellow 8 times C) Lands on red 33 times D) Lands on red 62 times
Answer:
A, B, C
Step-by-step explanation:
Answer:
A) Lands on blue 43 times
B) Lands on yellow 8 times
C) Lands on red 33 times
Step-by-step explanation:
Blue is 1/2 of the spinner so theoretically is should be landed on 1/2 of the time which is 40/80 but experimentally, it can differ slightly. Using this same logic, it can be applied to yellow and red. Yellow is 1/8 of the spinner so it should be landed on about 10 out of the 80 times. Red is 3/8 of the spinner so it should be landed on approximately 30 out of 80 times.
What is the expectation for a binomial distribution with p = 0.5 and n = 8?
Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability that he gets a dark
chocolate?
% (1 d.p.)
which inequality matches the graph?
A) -2x+3y>7
B) 2x-3y<7
C) -3x+2y>7
D) 3x-2y<7