Answer:
[tex]d=\sqrt{61}[/tex]
Step-by-step explanation:
The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]
99 points
solve the system of equations by graphing
k12 test interim checkpoint 4
Answer:
Step-by-step explanation:
f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3
The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.
(a) Develop the appropriate null and alternative hypotheses.
a) H0: μ = 1
b) Ha: μ ≠ 1
a) H0: μ > 1
b) Ha: μ ≤ 1
a)H0: μ ≥ 1
b) Ha: μ < 1
a) H0: μ < 1
b) Ha: μ ≥ 1
a) H0: μ ≤ 1
b) Ha: μ > 1
(b)What is the type I error in this situation? What are the consequences of making this error?
a) It is claiming μ < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
b) It is claiming μ > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
c) It is claiming μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
d) It is claiming μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
(c) What is the type II error in this situation? What are the consequences of making this error?
a) It is concluding μ > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.
b) It is concluding μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
c) It is concluding μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
d) It is concluding μ < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.
Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?
Answer:
19.65 cnets
Step-by-step explanation:
Answer as soon as possible I’ll give 5 stars!!!
Answer:
B
Step-by-step explanation:
2 times x is 2x
2*8=16
its B
Hey there!
2(x + 8)
DISTRIBUTE 2 WITHIN THE PARENTHESES
= 2(x) + 2(8)
= 2x + 16
Therefore, your answer should be: 2x + 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
6(2u) what is the answer
12u
there's no step by step
Translate and simplify: the product of –12 and the difference of p and q.
Hey there!
“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”
p & q is/are the variables, whereas -12 is a coefficient
“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”
Product = multiply/multiplication
“-12 ×”
DIFFERENCE
“p - q”
So, based on that information we have your answer: “-12 × p - q”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factory . How many students have visited a zoo but not a factory ?
Answer:
3
Step-by-step explanation:
6 have visited a zoo.
6 have visited a factory.
3 visited both.
Of the 6 who visited a zoo, 3 also visited a factory.
Of the 6 who visited a factory, 3 also visited a zoo.
Here is the list of students:
3 visited a zoo but not a factory.
3 visited a factory but not a zoo.
3 visited both.
Answer: 3
Holly and Jimmy went shopping. For every $2
that Holly spent, Jimmy spent $5. If together
they spent $35, how much did Jimmy spend?
if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .
a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?
Answer:
1280
Step-by-step explanation:
divide 1400 by 210
then multiply by 18
subtract that answer (120) from 1400,
and you get 1280
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Answer:
No, there is no enough flour for each of his friends to get a cupcake
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ This recipe makes 2 dozen cupcakes
∵ Each dozen contain 12 cupcakes
∴ The number of cupcakes can the recipe make = 2 × 12
∴ The number of cupcakes can the recipe make = 30 cupcakes
∵ The recipe calls for 3 cups of flour
→ That means 3 cups of flour can make 30 cupcakes
∴ 3 cups of flour makes 30 cupcakes
∵ Anthony’s mother has only 1 cup of flour
→ By using the ratio method
→ flour : cupcake
→ 3 : 30
→ 1 : x
→ By using cross multiplication
∵ 3 × x = 1 × 30
∴ 3 x = 30
→ Divide both sides by 3
∴ x = 9
∵ x represents the number of cupcakes
∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour
∵ Anthony has 12 friends at his daycare
∵ The number of the cupcakes = 9
∴ The number of cupcakes is not enough for each of his friends to
get a cupcake
Step-by-step explanation:
Answer:
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Step-by-step explanation:
what is a fraction between 2/3 and 4/7
Answer:
3/5
Step-by-step explanation:
it is between 2/3 and 4/7
1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)
Answer: negative 2 arrow to the left
Step-by-step explanation:
Write the slope intercept equation of the line that passes through (2,5) and (-1,3)
Answer:
y=2/3x+11/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(-1-2)
m=-2/-3
m=2/3
y-y1=m(x-x1)
y-5=2/3(x-2)
y=2/3x-4/3+5
y=2/3x-4/3+15/3
y=2/3x+11/3
Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce
Answer:
0.1 cents per ounce
Step-by-step explanation:
You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.
[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]
I am confused in these problems ?
8. 9.
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
Identify the range of values for x.
Answer: Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
Graph the following inequality and then select the correct graph below x + 2 > 1
Answer:
The graph is attached below.
Step-by-step explanation:
First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.
This gives us x is greater than -1. So, we can graph:
Helppppp please quick
Answer:
a≥11
Step-by-step explanation:
Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.
Round 743,214 to nearest ten thousand
i need help for my bro
NO LINKS!!!!!
Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.
a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.
b. The function is greater than zero when _______.
c. The function is less than zero when
___ < x < ____ and _____
A: . The function is increasing when X<-1 and x>1 and decreasing when
-1 < x < 1.
B:The function is greater than zero when x>2
C: The function is less than zero when
-1 < x < 2 and X<-1
Evaluate the difference quotient for the given function.
f(t) = g(t) h(t) , where g(t) = cos(t) and h(t) =sin(t)
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]
or
[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Which of the following describes exponential decay?
A. The amount at a given time can be calculated by multiplying the previous amount
by a value greater than 1.
B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
C. The amount at a given time can be calculated by adding an amount to the previous amount.
D. The amount at a given time can be calculated by subtracting an amount from the previous amount.
The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
What does linear function mean?A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.
What does exponential function mean?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
How to solve the question?In the question, we are asked to identify the option that best describes an exponential decay.
We assess each option and try to identify the exponential decay among them.
A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
Learn more about exponential functions at
https://brainly.com/question/11464095
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Which expressions represents "2 less than the product of 5 and a number"?
A) 5n - 2
B) 5/n - 2
C) 2 - 5n
D) 5 + n - 2
Answer:
Option A is correct.Step-by-step explanation:
Let's read the part of the question carefully.(2 less than the product of 5 and a number)
The phrase "2 less" means subtracting 2 from the minuend."the product of 5 and a number" means multiplication of 5 and a number (5x)Conclusion:
Therefore:
Our expression is 5n - 2Hoped this helped.
[tex]GeniusUser[/tex]
A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card
Answer:
so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%
Hope This Helps!!!
Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?
Answer:
no .,..false
Step-by-step explanation:
ALGEBRA Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%. During the monthly billing cycle, Ben charged $238.75, made a payment of $300.00, and had a finance charge of $7.99. Find his unpaid balance, previous balance, and new balance.
The new balance is a credit of $ 48.78.
Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:
Finance charge + new purchases + previous balance - payments = X 238.75 x 1.01875 + 7.99 - 300 = X 243.22 + 7.99 - 300 = X 251.21 - 300 = X -48.78 = X
Therefore, the new balance is a credit of $ 48.78.
Learn more about maths in https://brainly.com/question/3554632
Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.
We need slope/rate of the table
(3,2)(6,4)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]
Slopes of all options
5/7=25/213/5=9/151/37/9 7/11=21/33Option D is correct
Option
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo
The probability that an athlete that is getting into a fight has a tattoo is 0.80
Let the events be represented as:
Event A : get into a fightEvent B: has a tattooSo, the probabilities are given as:
[tex]P(A\ n\ B) = 40\%[/tex]
[tex]P(A) = 50\%[/tex]
The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)
So, we have:
[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]
Substitute known values
[tex]P(B | A) = \frac{40\%}{50\%}[/tex]
Cancel out the percentages
[tex]P(B | A) = \frac{40}{50}[/tex]
Divide 40 by 50
[tex]P(B | A) = 0.80[/tex]
Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80
Read more about probabilities at:
https://brainly.com/question/251701
