Answer:
same slope
parallel lines
Step-by-step explanation:
what are the coordinates of c’s after abc is translated 3 units to the left and 5 units up
Answer:
the coordinates are -2, -1.
Step-by-step explanation:
Answer:
(-2,-2)
Step-by-step explanation:
The diagram shows a triangle.
What is the value of w?
Answer:
63-degrees
Step-by-step explanation:
triangle = 180 degrees
46 + 71 + w = 180
117 + w = 180 *subtract 117 from both sides*
w = 63
What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4
The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)
The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:
q² + 3q - 4 = 0
Now, we can factorize the quadratic equation:
(q + 4)(q - 1) = 0
To find the values of q, we set each factor equal to zero and solve for q:
q + 4 = 0 or q - 1 = 0
Solving these equations, we get:
q = -4 or q = 1
So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.
Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.
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Complete Question:
What are the domain restrictions of q²−7q−8/q²+3q−4?
a) q≠1 and q≠−8
b) q≠−1 and q≠4
c) q≠1 and q≠−4
d) q≠−1 and q≠8
How do I find the feet in a 9 inch board
Answer:
3/4 of a foot.
Step-by-step explanation:
In order to find how many feet are in 9 inches, we simply divide 9 by 12. We use the number 12, because that is how many inches are in a foot. 9 divided by 12 = 0.75 or 3/4 of a foot.
May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function?
No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages
Answer:
No, because people who are the same age can have different zip codes!!
I took a test with this question and got it correct!!
Step-by-step explanation:
The fish population of Lake Collins is decreasing at a rate of 4% per year. In 2004 there were about 1,150 fish. Write an exponential decay function to model this situation. Then find the population in 2009.
A: y = 1,150(0.96)^t
2009=938
B: y = 1,150(0.96)^t
2009=942.67
C: y = 1,150(0.6)^5
2009=89
D: y = 1,150(0.04)^t
Answer:
Option AStep-by-step explanation:
Decrease rate is 4%
1 - 4% = 1 - 0.04 = 0.96The equation for this situation is
\(y = 1150*0.96^t\), where t is the number of years passed since 2004The fish population in 2009
\(y = 1150*0.96^{2009-2004}=1150*0.96^5 = 938 (rounded)\)Correct choice is A
Answer:
\(\textsf{A:} \quad y = 1150(0.96)^t\)
2009 = 938
Step-by-step explanation:
Exponential Function
General form of an exponential function:
\(y=ab^x\)
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the rate of decrease is 4% per year, that means that each year the number of fish is 96% of the previous year, since 100% - 4% = 96%
Given:
a = 1150b = 96% = 0.96x = t = time in yearsy = total of fishSubstitute the given values into the exponential equation:
\(\implies y=1150(0.96)^t\)
If the initial year was 2004 then:
⇒ t = 2009 - 2004 = 5
Substitute t = 5 into the equation and solve for y:
\(\implies y=1150(0.96)^5\)
\(\implies y=937.6786022...\)
Therefore, the population in 2009 was 938 (to the nearest whole number).
Expand and simplify (x-2)(x-1)
Answer:
x^2-3x+2 hope this helps
Step-by-step explanation:
b(1)=−7
b(n)=b(n−1)+12
Find the 4th term in the sequence.
Answer:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
1. A local zoo had 750 visitors on Saturday. If
20% of the guests traveled from out of town,
how many local guests visited the zoo on
Saturday?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The number of local guests who visited the zoo is 600.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of visitors = 750
The percentage that visited the zoo.
= 100% - 20%
= 80%
Now,
The number of local guests who visited the zoo.
= 80% of 750
= 80/100 x 750
= 600
Thus,
The number of local guests who visited the zoo is 600.
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Identify as a monomial, binomial, or trinomial. x^3Y^2Z
Answer: Monomial
Step-by-step explanation:
2ax/3y is a monomial in three variables a, x and y.
PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014
Answer:
monomial
Step-by-step explanation:
because it has only 1 term
Micah’s bill for dinner was $35.50. He left the server an 18% tip. How much money did Micah leave for the tip?Enter the correct answer in the box.
Answer:
$41.89
Step-by-step explanation:
100%=35.50
1%=0.3550
18%=6.39
$35.50+6.39=$41.89
Answer: 49.89 percent
Step-by-step explanation:
Be a good boy
Shelby's dad bought 0.98
pounds of bacon. What is
this decimal as a fraction,
in lowest terms.
the correct answer would be before that 98/100
I need help asap thanks
Answer:
B. y=5/4 x-4
Step-by-step explanation:
Slope of line= \(\frac{y2-y1}{x2-x1}\)
= \(\frac{1-(-4)}{4-0}\)
=5/4
Question 9(Multiple Choice Worth 1 points)
(04.05 MC)
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $40,000
1 $42,150
2 $44,260
3 $46,785
4 $48,820
5 $51,126
Use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (Round your answer to the nearest dollar.)
$52,900
$53,340
$53,914
$55,573
By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:
y = 2233.3x + 39940
Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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Answer:
D
Step-by-step explanation:
$55,573
Kris’s mom is putting up a border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How many borders will be needed to go all the way around the room?
42 feet
44 feet
22 feet
120 feet
= 12 + 10 + 12 + 10
= 2x12 + 2x10
= 24 + 20
= 44 feet of borders
Answer:
its 44
Step-by-step explanation:
add 10+10 then add 12+12
the operation manager at a tire manufacturing company believes that the mean mileage of a tire is 37,014 miles, with a standard deviation of 4617 miles. what is the probability that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires if the manager is correct? round your answer to four decimal places.
Probability or p-vale that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires is equals to zero if the manager is correct.
We have data of an operation manager at a tire manufacturing company.
Mean mileage of a tire, \( \mu\)
= 37,014 miles
standard deviation, \( \sigma\)
= 4617 miles.
Sample size, n = 56
We have to determine the probability that the sample mean would differ from the population mean by less than 221 miles. Using Z-score formula in normal distribution, \(\small z= \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}},\)
Plugging all known values in above formula, \(z = \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}\)
= 59.634
\(P( \bar x < 221) = P ( \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}} < \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}) \\ \)
=> P ( z < 59.63) = P( \bar x < 221)
Using the Z-distribution table, probability value is equals to 0. Hence, required probability is zero.
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What is the exponent of z in w^5yz
Answer:
1?
Step-by-step explanation:
N/A
Answer:
1
Step-by-step explanation:
The exponent is one!
Any variable that doesn't "Seem" to have any exponent at the top is really just to the one power.
For example, 5 is just 5^1.
I hope this helps! :)
Marcus went to a football game with $55. He bought his ticket at the door, 1 point
a pretzel for $3, ice cream for $5, and a bottle of water for $2. He decided
to buy a team hat for $20. When he left he had $3 left in his pocket. How
much did the ticket cost? *
Answer
the ticket was 22 dollars
Step-by-step explanation:
solve for z
-cz+6z=tz+83
Answer:
the answer to your equation is Z=0(with a slash on the = sign)
Step-by-step explanation:
-cz+6z-6z=tz+83-6z
-cz=tz+83-6z
Divide both side by -z
simplify and you get Z=0
find the directions in which the function increases and decreases most rapidly at p0. then find the derivatives of the function in those directions. f(x,y,z)=2ln(xy) 2ln(yz) 2ln(xz), p0(1,1,1)
The derivative of f in the direction of u = <4, 4, 4> is 48√3.
What is derivative?
The derivative of a function represents the rate at which the function changes with respect to its independent variable(s). It measures the slope or steepness of the function at a specific point.
To find the directions in which the function increases and decreases most rapidly at point P0(1, 1, 1), we need to calculate the gradient vector (∇f) at that point and identify its components. The gradient vector will point in the direction of the steepest increase in the function.
Given the function f(x, y, z) = 2ln(xy) + 2ln(yz) + 2ln(xz), we can calculate the partial derivatives with respect to each variable:
∂f/∂x = 2/y + 2/z
∂f/∂y = 2/x + 2/z
∂f/∂z = 2/x + 2/y
Now, we evaluate the partial derivatives at point P₀(1, 1, 1):
∂f/∂x = 2/1 + 2/1 = 4
∂f/∂y = 2/1 + 2/1 = 4
∂f/∂z = 2/1 + 2/1 = 4
So, the gradient vector at P0(1, 1, 1) is (∇f) = <4, 4, 4>. The components of this vector indicate that the function increases most rapidly in all directions at that point.
To find the derivatives of the function in those directions, we can take the dot product of the gradient vector (∇f) with a unit vector in each direction at that point.
u = <4, 4, 4> / √(1² + 1² + 1²) = <4/√3, 4/√3, 4/√3>
To find the derivative of f in the direction of u, we take the dot product:
∇f · u = <4, 4, 4> · <4/√3, 4/√3, 4/√3> = 16/√3 + 16/√3 + 16/√3 = 48√3
So, the derivative of f in the direction of u = <4, 4, 4> is 48√3.
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how do u solve this pls help
Answer is in the picture.
T/F : the pearson’s linear correlation coefficient measures the association between two continuous random variables. if its value is near ±1, the association is quasi perfectly linear.
True. The Pearson's linear correlation coefficient is a measure of the strength and direction of the linear relationship between two continuous random variables.
It ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger linear correlation. If the value is near ±1, then the association between the variables is quasi perfectly linear. However, it is important to note that correlation does not imply causation and that other types of relationships between variables may exist beyond linear associations. In conclusion, the Pearson's linear correlation coefficient is a useful tool for assessing the strength and direction of linear relationships between continuous variables.
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Fill in the blank with the correct response.
What is the scale factor?
3
S
R
ARST - AMNO
5.5 T
6
N
M
X
O
The scale factor of the dilation of the triangles is 2
What is the scale factor of the dilation?From the question, we have the following parameters that can be used in our computation:
The similar triangles
The scale factor of the dilation is the division of the corresponding sides
So, we have
Scale factor = 6/3
When evaluated, we have
scale factor = 2
Hence the scale factor is 2
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Which rate is the best deal for a bottle of mustard?
Question 4 options:
A: $1.26 for 6 oz
B: $1.65 for 8 oz
C: $2.42 for 12 oz
D: $3.30 for 16 oz
The rate that is the best deal for a bottle of mustard is: C: $2.42 for 12 oz.
How to find the unit rate?a. $1.26 for 6 oz
Unit rate = $1.26 / 6 oz
Unit rate = $0.21
b. $1.65 for 8 oz
Unit rate = $1.65 / 8 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
c. $2.42 for 12 oz
Unit rate = $2.42 /12 oz
Unit rate = $0.201
Unit rate = $0.20 (Approximately)
d. $3.30 for 16 oz
Unit rate = $3.30 / 16 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
Therefore the correct option is C.
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Each package has 21 pieces of chalk. How many packages can be made with 1,701 pieces of chalk?
Answer:
81
Step-by-step explanation:
divide 1701 by 21 to get the answer
write this as a conditional statement, converse inverse and counterpositive Mrs.smith has a dog that is not a poodle.
Problem
write this as a conditional statement, converse inverse and counterpositive
Mrs.smith has a dog that is not a poodle.
Solution
Conditional: If Mrs smith has a dog THEN is not a poodle
Converse Inverse: If a dog is a poodle then is from Mrs Smith
Counterpositive: If the dog is NOT a poodle then is NOT from Mrs Smith
Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2
ILL MARK BRAINESTTTT
Answer:
Side EH is congruent to side FG. Reason: given by tic marks
Angle FEG is congruent to Angle HGE. Reason: given
Side EG is congruent to side GE. Reason: identity
Triangle EFG is congruent to triangle GHE. Reason: Side Angle Side.
Step-by-step explanation:
This is the simplest proof. There may be another way using the given FG is parallel to HE.
HELP and please explain it
Answer:
SAS, ASA, SSS, ASA, Yes
Step-by-step explanation:
Keisha had $405 in her bank account. Over the summer, she made 4 withdrawals of $45 each a) What is the balance in Keisha's account? * b) Write an integer expression to represent this problem. Solve the problem. *
Answer:
see below
Step-by-step explanation:
The amount she withdrew is 45*4 =180
405 - 4*45=
405 -180 =225
There is 225 in the account
Answer: a) $225
Step-by-step explanation:
405 - 45 (4) = x
405 - 180 = x
225 = x