Answer:
y = -2x + 8Step-by-step explanation:
The equation in slope-intercept form: y = mx + b
y + 2 = -2(x - 5)
y + 2 = -2x + 10 {subtract 2 from both sides
y = -2x + 8
What are the lengths of the other two sides of the triangle? O AC = 5 and BC = 5 O AC=5 and BC =515 O AC = 5/5 and BC = 5 O AC = 5 and BC =53
*see attachment for missing diagram
Answer:
AC = 5 and BC = 5√3
Step-by-step explanation:
Given:
m<A = 60°
m<B = 30°
AB = 10
Required:
AC and BC
Solution:
Recall, SOH CAH TOA
✔️Find AC:
Reference angle (θ) = 30°
Hypotenuse = 10
Opposite = AC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 30° = AC/10
10*Sin 30° = AC
10*½ = AC (sin 30° = ½)
5 = AC
AC = 5
✔️Find BC:
Reference angle (θ) = 60°
Hypotenuse = 10
Opposite = BC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 60° = BC/10
10*Sin 60° = BC
10*√3/2 = BC (sin 60° = √3/2)
5*√3 = BC
BC = 5√3
(2x+3)(5x-8)
10x7€ 16x+158–24
10x2-x-24
Answer:
16X+134
Step-by-step explanation:
Which of the following represents the ratio of the hypotenuse to the given
side?
Answer:
D. √2 : 1
Step-by-step explanation:
The hypotenuse = 4√2 (longest side of a right triangle)
The given side = 4
Ratio of the hypotenuse to the given side = 4√2 : 4
Simplify by dividing both numbers by 4
√2 : 1
the number of cases of a new diease can be modeled by the quadratic
Step-by-step explanation:
The number of cases of a new disease may be modeled by the quadratic regression equation y=-2x^2+44x+8 , what is the best prediction for the number of cases after 20 years ( the carrot symbol (^) means the following number is the exponent)
Consider a relation on the set of all states in the United States given by: two states are related if they have a border in common. Is it an equivalence relation
Answer:
Yes it is an equivalence relation
Explanation:
An equivalence relation is a binary relation between two values that are symmetric, transitive and reflexive. In other words, when we say a value x is equal(using "=") to a value y, there is an equivalence relation between them.
Example, given set {x, y, z} where ~ means equivalence:
x ~ y if y ~ z means symmetric
since x ~ y and y ~ z, then x ~ z means transitive
x ~ x means reflexive
Equivalence relations share a common attribute or attributes(example, a satisfying condition)
The above condition that two states are related from the set of all US states if they have a border in common satisfies the condition of equivalence listed hence it is an equivalence relation.
I’m confused with this question
9514 1404 393
Answer:
(a) max: None; min: -5
(b) max: 5; min: None
Step-by-step explanation:
a) The upward pointing arrow on the end of the graphed curve tells you that the graph extends upward indefinitely. There is no absolute maximum value.
The solid dot at (-4, -5) is the lowest point on the graph. That tells you the absolute minimum is -5.
__
b) The solid dot at (-4, 5) is the highest point on the graph. That tells you the absolute maximum is 5.
The open dot at (3, -5) is the lowest point on the graph. This means values of the function can be arbitrarily close to -5, but -5 is not one of them. There is no absolute minimum value.
Suppose the sales tax rate in Idaho is 6%. If a computer sells for $589, how much is
the sales tax?
14. A professor records the number of class days (x) each student misses over the course of a semester and uses a frequency distribution to display the data. What is the probability a student missed exactly 1 day
Question is incomplete, however here's an explanation to solve questions such as this
Answer and explanation:
Probability= number of favorable outcomes/total number of outcomes
The frequency distribution recorded by the professor would show number of times(frequency) each student missed a class day.
We are required to fund the probability that a student would miss class
Probability = number of times the student missed class/ total number of classes missed by all students
Example, if student missed class 20 times in a semester and all students in total missed class 200 times
Probability that the student would miss class=20/200= 1/10
Solve the following equation or inequality for the unknown variable. Round answer to two decimal places if necessary.
(3x)2 - 10 = 56
4
x =
Answer:
x = 2.7
Step-by-step explanation:
The given equation is :
[tex](3x)^2-10=56[/tex]
We need to solve it for x.
It can be rewrite as follows:
[tex]9x^2-10=56[/tex]
Adding 10 to both sides,
[tex]9x^2-10+10=56+10\\\\9x^2=66\\\\x=\sqrt{\dfrac{66}{9}}\\\\x=2.70[/tex]
So, the value of x is equal to 2.7.
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone
Enunciate demerits of classical probability.
Answer:
Some demerits of classical probability are provided throughout the following portion.
Step-by-step explanation:
This could only be utilized if somehow the occurrences are fairly probable as well as predictable. Such supposition is established far in advance of the investigation or testing.This only applies whereas if an overall number of occurrences seems to be limited, one such term has quite a restricted scope, such as coins tossing, picking card numbers, etc.A fair dice is rolled. Work out the probability of getting a number less than 5. Give your answer in its simplest form.
Step-by-step explanation:
4/6
=2/3
That's what I could show you
HELP PLEASSSSSS I will give brainlyest!!!!!!!!!!!!!!!!!!
Answer:
1/2
Step-by-step explanation:
Convert 2/3 to 4/6
Subtract: 4/6 - 1/6
You get 3/6
Simplify: 1/2
Hope this helps!
Answer: The answer is 1/2
I need help with these questions
Answer:
1) 6m+8n
4) 21x+14y
7) 14c+16d
10) d+3e
Step-by-step explanation:
(a) What is the probability that a person who was polled prefers chocolate ice cream to vanilla? Round your answer to four decimal places.
Answer:
[tex]P(k)=0.2628[/tex]
Step-by-step explanation:
Given
[tex]n = 1693[/tex] --- sample size
[tex]k = 445[/tex] --- those that prefer chocolate ice cream to vanilla
Required
[tex]P(k)[/tex]
This is calculated as:
[tex]P(k)=\frac{k}{n}[/tex] --- probability formula
So, we have:
[tex]P(k)=\frac{445}{1693}[/tex]
[tex]P(k)=0.2628[/tex]
If it takes Ohenhen 10km to pass to Emma and it takes Emma 8km to pass to Omusi and considering Ohenhen & Omusi are at perpendicular ends from Emma. What's the distance between Ohenhen and Omusi?
Answer:
12.81 km
Step-by-step explanation:
Pythagoras formula for right-angled triangles.
this scenario just says that Emma is the corner point of that triangle with an angle of 90 degrees.
the distance between Ohenhen and Omusi is the baseline (Hypotenuse c) of that triangle. and the distances to Emma are the sides a and b.
so the formula is
c² = a² + b² = 10² + 8² = 100 + 64 = 164
[tex]c = \sqrt{164} [/tex]
c ≈ 12.81 km (rounded to the nearest hundredth).
Please help
A stamp collection consists of 10 albums each containing 42 pages. How many stamps are in the total collection if 40 stamps fit on a page?
(1) 92
(2) 820
(3) 1,680
(4) 2,080
(5) 16,800
Step-by-step explanation:
Total number of albums = 10 albums[tex] \; [/tex]Number of pages in each album = 42 pages Stamps fit on 1 page = 40 stampsAs total number of pages in each album is 42 pages, so
➝ Total number of pages in 10 albums = (42 × 10) pages
➝ Total number of pages in 10 albums = 420 pages
Now, as the number of stamps fit on 1 page is 40 stamps, so
➝ Stamps fit on 420 pages = (420 × 40) stamps
➝ Stamps fit on 420 pages = 16,800 stamps
Therefore, 16,800 stamps are in the total collection.
Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer.
1. f(x) is exponential; an exponential function increases more slowly than a linear function.
2. f(x) is exponential; f(x) increased more overall than g(x).
3. g(x) is exponential; g(x) has a higher starting value and higher ending value.
4. g(x) is exponential; an exponential function increases faster than a linear function.
Hi there!
[tex]\large\boxed{\text{Choice 4}}[/tex]
We can look at each function, f(x) and g(x), to determine which is exponential.
Use slope formula: m = y2-y1/x2-x1
f(x) starts off with a slope at about $1800/year, but becomes about $1100/year.
g(x) starts off with a slope of about $1500/year, but becomes about $1874/year.
Thus, g(x) is exponential, because g(x)'s slope is increasing across the interval.
Lunch break: In a recent survey of 643 working Americans ages 25-34, the average weekly amount spent on lunch as $43.21 with standard deviation $2.95. The weekly amounts are approximately bell-shaped. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 Your Answer is incorrect (a) Estimate the percentage of amounts that were less than $40.26. Round the answer to one decimal place. Approximately % of the amounts were less than $40.26.
Answer:
107%
Step-by-step explanation:
Round up all possible algorithms
The data on the box plot describes the weight of several students in sixth grade. Which of the following statements are true about the data set? Select all that apply.
One-fourth of the students weigh between 90 and 101 pounds.
One-half of the students weigh between 75 and 90 pounds.
The median weight of the sixth graders is 85 pounds.
One-fourth of the students weigh less than 75 pounds.
One-fourth of the students weigh more than 75 pounds.
The total range of weight is 40 pounds.
Answer:
Step-by-step explanation:
B
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
Answer:
AAS
Step-by-step explanation:
It will be angle angle side because you are given a side and two angles, and when you put them in the correct order, you will get AAS, or SAA (not the correct way to say it)
determine lcm and HCF of 24 and 26 using prime factors
Answer:
WHAT IS THE FACTOR?
Step-by-step explanation:
2x + 2x + 5x + 5x= please answer quick it's very hard and I like the game to answer please and thank you.
Answer:
14x I answered your question thank you for the points appreciate it
Answer:
2x+2x+5x+5x=14x
Ans: 14x
If it is 9:00 what time will it be 25 minutes earlier
Answer:
8:35
Step-by-step explanation:
Answer:
8:35
Step-by-step explanation:
-25+60=35
9h-1h(60 above)=8h
=8:35
Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
Answer:
[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex] --- set builder
[tex][-21,\infty)[/tex] --- interval notation
Step-by-step explanation:
Given
[tex]-3a - 15 \le -2a + 6[/tex]
Required
Solve
Collect like terms
[tex]-3a + 2a \le 15 + 6[/tex]
[tex]-a \le 21[/tex]
Divide by -1
[tex]a \ge - 21[/tex]
Rewrite as:
[tex]-21 \le a[/tex]
Using set builder
[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex]
Using interval notation, we have:
[tex][-21,\infty)[/tex]
If the domain of a function that is translated down 3 is (0, 4), (-5, 8), (4, -2), what is the range?
A. (0, 1), (-5, 5), (4, -5)
B. (3, 4), (-2, 8), (7, -2)
C. (-3, 4), (-8, 8), (1, -2)
D. (0, 7), (-5, 11), (4, 1)
Given:
The domain of function that is translated down 3 is (0, 4), (-5, 8), (4, -2).
To find:
The range of the function.
Solution:
If a function is translated 3 units down, then
[tex](x,y)\to (x,y-3)[/tex]
Using this rule, we get
[tex](0,4)\to (0,4-3)[/tex]
[tex](0,4)\to (0,1)[/tex]
Similarly,
[tex](-5,8)\to (-5,5)[/tex]
[tex](4,-2)\to (4,-5)[/tex]
The range of the given function is (0, 1), (-5, 5), (4, -5).
Therefore, the correct option is A.
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
Helpppppp ,would this just be -1.2?
Explanation:
The result of any absolute value function is never negative. It represents distance on a number line.
The distance from -1.2 to 0 on the number line is exactly 1.2 units.
So that's why |-1.2| = 1.2
In short, we erase the negative sign.
Please explain :)
Expand 5x(x+2)
Thanks :)
Answer:
[tex] {5 x }^{2} +10x[/tex]
Step-by-step explanation:
[tex]5x(x+2)[/tex]
[tex]5x \times x+5x \times 2[/tex]
[tex]5(x \times x)+5x \times 2[/tex]
[tex]5 {x}^{2} +5x \times 2[/tex]
[tex]5 {x}^{2} + 10x[/tex]
Hope it is helpful....Find the derivative of 4x^3-7x+8 ÷ x
Step-by-step explanation:
If a fraction [tex]f(x)[/tex] is defined as
[tex]f(x) = \dfrac{g(x)}{h(x)}[/tex]
then the derivative [tex]f'(x)[/tex] is given by
[tex]f'(x) = \dfrac{g'(x)h(x) - g(x)h'(x)}{h^2(x)}[/tex]
So the derivative can be calculated as follows:
[tex]f'(x) = \dfrac{d}{dx}\left(\dfrac{4x^3 - 7x + 8}{x} \right)[/tex]
[tex]=\dfrac{(12x^2 - 7)x - (4x^3 - 7x + 8)}{x^2}[/tex]
[tex]= \dfrac{12x^3 - 7x - 4x^3 + 7x - 8}{x^2}[/tex]
[tex]= \dfrac{8x^3 - 8}{x^2}[/tex]