Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )
m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]
Hello there! :)
To find the slope of the line when we are given 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]
So the slope is -6/5. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
Problem example: For the given sequence: -2,2,6,10,14,18
Write a recursive formula to find the nth term: a = an-1+4
Write a explicit formula to find the nth term: a = -2 + 4(n-1)
What is the 64th term in the sequence?
Answer:
250
Step-by-step explanation:
You can take the explicit formula and simply substitute the n value with 64:
-2 + 4 * (64 - 1)
-2 + 4 * (63)
-2 + 252
250
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
How many different 3 topping pizzas can be made if 10 different toppings are available?
9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
Help please im struggling fighting demons rn
what is the radius and diameter of the following circle ? 5.1 cm ?
What decimals are equal to 1.5^3
Answer:
3.375
Step-by-step explanation:
3
Evaluate the expression 2 + 2 x 5 - 3
Answer:
9
Step-by-step explanation:
Please Excuse My Dear Aunt Sally
Answer:
= 10x − 1
Step-by-step explanation:
Let's simplify.
2 + 2x(5) − 3
= 2+10x + −3
Combine Like Terms:
= 2 + 10x + −3
= (10x) + (2 + −3)
= 10x + −1
= 10x − 1
The vector makes angles
[tex]Sin^- {}^{1} (\frac{ \sqrt{2146} }{65} ) \: and \: sin {}^{ - 1} ( \frac{12}{13} )[/tex]
with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.
Answer:
To know the answer refer to attachment.
Note: There are 3 attachments
Scroll side to see the 3rd attachment
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Write the equation of the function graphed below:
a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4
Answer:
I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?
The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?
3
Step-by-step explanation:
i need help to
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
5/8 Divided by 6 5/6
Answer:
15/164
Step-by-step explanation:
5/8 ÷ 6 5/6 = 5/8 ÷ 41/6
= 5/8 x 6/41
= 30/328
= 15/164
Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?
Answer:
$3600 at 4%$2400 at 3%Step-by-step explanation:
Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...
0.04x + 0.03(6000 -x) = 216
0.01x +180 = 216 . . . . simpilfy
0.01x = 36 . . . . . . . . subtract 180
x = 3600 . . . . . . . . multiply by 100
6000-x = 2400
Katie invested $3600 at 4% and $2400 at 3%.
Matrix fractions 1/2+2/6. I don't understand the steps in this.
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
4/2 - (-2/3)
im confusedddd lol
Answer:
2.66666666667
or
266666666667/100000000000
Step-by-step explanation:
9514 1404 393
Answer:
2 2/3
Step-by-step explanation:
The minus signs cancel, so the sum is ...
4/2 +2/3
The improper fraction on the left reduces to 2, so this is ...
2 +2/3
That sum is simply the mixed number 2 2/3.
Explain how each location given in the table is related to the origin.
Refer to the attachment
i need help pwease help me i give brainly
Answer:
the answer is A
Step-by-step explanation:
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
3plss help...................................
Write the value of the underlined digit in words 5.3479? 7 being the underlined number.
The place value of 7 in words in 5.3479 is seven thousandths
The given number is 5.3479
The underlined digit has been identified as 7
The place values of each of the digits in 5.3479 are:
5 = 5 units
3 = 3 tens
4 = 5 hundredths
7 = 7 thousandths
9 = 9 ten thousandths
Therefore, the place value of 7 in words in 5.3479 is seven thousandths
Learn more here: https://brainly.com/question/25750254
Express (x+5)^2 as a trinomial in standard form.
Answer:
x² + 10x + 25
Step-by-step explanation:
(x + 5)(x + 5)
using FOIL method
First x•x = x²
Outside x•5 = 5x
Inside 5•x = 5x
Last 5•5 = 25
add like terms together.
Answer:
x^2 + 25 + 10x
= x^2 + 10x + 25
Step-by-step explanation:
( x + 5 )^2
Formula : -
( a + b )^2 = a^2 + b^2 + 2ab
Here,
a = x
b = 5
( x + 5 )^2
= x^2 + 5^2 + 2 ( x ) ( 5 )
= x^2 + 25 + 10x
WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:
Answer:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Step-by-step explanation:
You can find the first function if you know the general form of a line:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.
So in the first case the slope is 1 because the next formula
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
[tex]f(x) = x + 5[/tex]
In the other case is constant function that's mean that the function has the next form
[tex]f(x) = k[/tex]
Where [tex]k[/tex] is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Two teams are going on a trip to play a game. There will be
2 buses to take the students. On each bus, there are 60
seats. Teachers and parents will sit in 10 of the seats on
each bus
How many seats are available for students on the buses?
No links
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
The sum of two numbers is eight one number is four less than the other find the numbers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
solve pls brainliest
Answer:
circle, triangle, rectangle
Answer:
the first cross section would make a circle (option 2, the second would make a triangle (option 6), and the last one would make a rectangle (option 1). hope this helps!
help ! ✬
due tomorrow, i font understand this at all :(
Answer:
41 litters to gallons is 10.8311
3.5 gallons to litters is 13.2489
A = 10.8311 Gallons
B = 13.2489 Literes
Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase