Answer:
First Problem:
Transformation: Reflection across the x-axis, shift 2 units rightward
Equation: g(x)=-5^(x-2)
Second Problem:
Transformation: Reflection across the y-axis, shift 4 units upward
Equation: 10^-x+4
Step-by-step explanation:
Imagine folding a piece of paper and using the x or y axis as the crease marks. By folding them and comparing them, we can find out whether it is either the x-axis, y-axis, or both-axis. Then, we move the graph, to match the position in the second picture.
As for equations, exponential functions have the parent function of y=b^(x+c)+h. By plugging in any points given, let's say (1,5), we can see that 5=b^1 and simplifying shows 5=b. Therefore, the function is y=5^x. Using that first equation, we transform it. If over the x-axis, convert y=b^x to y=-b^x. If over the y-axis, convert y=b^x to y=b^-x. For horizontal shift, if going rightward, it is x-c. If going leftward, it is x+c. For vertical shift, if going up, b^x+h. If going down, b^x-h.
If unsure, plug-in points to see if your answer checks out with the equation :)
Input Output
6
0
3
6
2
12
Oy
Answer:
The second option. y = 3x +3
Step-by-step explanation:
※ x = -4
y = 3(-4) + 3
= -12 + 3
= -9
※ x = 3
y = 3(3) +3
= 9 + 3
= 12
inscribed angles. I need answers asap, thank you!
Answer:
60°
Step-by-step explanation:
The whole circunference is 360° from a central angle
so from an inscribed angle is 180°
notice that arc ABC + arc ADC make the whole circunference
so the inscribed angles that support those arc together must add to 180°
120°+b=180
b=60
from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180
anyone can help? with this problem
Answer:
E
Step-by-step explanation:
24 is 4 in the ratio so 24÷4 gives 6 and 5x6 is 30 so the hypotenuse is 30 inches
Many fingerprint analysts claim that they report an average of 16 matching characteristics between crime scene fingerprints and the suspect's fingerprints. In her last 30 cases, a defense attorney calculated that fingerprint analysts only reported an average of M = 9.8 matching characteristics, with a standard deviation of s = 1.2. What statistical test would this attorney use to determine whether the average number of matching characteristics she observed differs significantly from that reported by fingerprint analysts?
a. Independent-samples t test
b. Z test
c. Single-sample t test
d. Dependent-samples t test
Independent-samples t test. This test is used to compare the means of two independent groups. The correct answer is a.
In this case, the average number of matching characteristics reported by the fingerprint analysts and the average number of matching characteristics calculated by the defense attorney. The standard deviation of s = 1.2 would be used in the calculation of the t-statistic.
To determine whether the average number of matching characteristics the defense attorney observed (M = 9.8) differs significantly from that reported by fingerprint analysts (16 matching characteristics), she should use a "Single-sample t test".
Here's why:
- The defense attorney is comparing a sample (her 30 cases) to a known population mean (16 matching characteristics).
- The standard deviation of the sample is provided (s = 1.2), but the population standard deviation is not known.
- An Independent-samples t test would be used if comparing two independent groups, which is not the case here.
So, the correct answer is c. Single-sample t test.
Visit here to learn more about fingerprint analysts:
brainly.com/question/30344950
#SPJ11
what line matches the equation
Answer:
You forgot the picture
Step-by-step explanation:
I think
The parallel dotplots below display the number of scholarship applications submitted by students for each of two schools: A and B.
2 dotplots titled Scholarship Applications by Class. The number lines go from 9 to 15 and are labeled number of scholarships. School A, 9, 1; 10, 1; 11, 1; 12, 1; 13, 2; 14, 8; 15, 10. School B, 9, 2; 10, 2; 11, 4; 12, 9; 13, 3; 14, 2; 15, 2.
Which of the following statements is true?
The range for the number of submitted scholarships is larger for school A.
The range for the number of submitted scholarships is larger for school B.
There is a smaller standard deviation for the number of submitted scholarships for school A.
The standard deviation in the number of submitted scholarships is the same for both classes.
Answer:I’m pretty sure it’s c
Find the area of Triangle A in square centimeters.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
What is the nearest degree of a base angle of an isosceles triangle if each leg is 30 and the altitude to the base is 20?
In an isosceles triangle, the base angles are congruent. Let's denote the base angle as θ. We can use the trigonometric relationship between the sides and angles of a right triangle to find the value of θ.
In this case, we have an isosceles triangle with legs of length 30 and an altitude to the base of length 20. The altitude forms a right triangle with one leg equal to half the base (15) and the hypotenuse equal to one of the legs (30).
Using the trigonometric relationship sine (sin), we can write:
sin(θ) = opposite/hypotenuse
sin(θ) = 20/30
sin(θ) = 2/3
To find the value of θ, we can take the inverse sine (sin^(-1)) of both sides:
θ = sin^(-1)(2/3)
Using a calculator, we find:
θ ≈ 41.81 degrees
Therefore, the nearest degree of a base angle of the isosceles triangle is 42 degrees.
Learn more about trigonometric here:
https://brainly.com/question/29156330
#SPJ11
Write an algebraic expression for this situation:
45$ total is spent on pencils, calculators, and rulers. Pencils (p) cost $2, calculators (c) cost $25, and rulers (r) cost $4, each.
Answer:
Step-by-step explanation:
Let p, c, and r stand for the numbers of pencils, calculators, and rulers.
$45 = $2p + $25c + $4r
The cost of admission to history museum is 3. 25$ per person over the age of 3; kids 3 and under get in for free. If the total cost of admission for the warrick family, including their two 6-month old twins, is 19. 50, find how many family members are over 3 years
There are 6 family members over 3 years old.
Let's assume that the number of family members over 3 years old is "x".
The cost of admission for each family member over 3 years old is $3.25. Since the twins are 6 months old, they are not counted in the total cost of admission. Therefore, the total cost of admission for the family, including the twins, is $19.50.
The equation representing the total cost of admission can be set up as:
3.25x = 19.50
To find the value of "x," we can divide both sides of the equation by 3.25:
x = 19.50 / 3.25
x = 6
for more such questions on cost
https://brainly.com/question/2292799
#SPJ8
ANYONE WANT OVER 50 POINTS IF SO THEN GO TO MY PROFLIE AND THEN YOU WILL SEE THE 11 QUESTONS FOR ART
22. What is the slope of a line, in the standard (x,y)
coordinate plane, that is parallel to x + 5y = 9 ?
A. -5
B. -1/5
C. 1/5
D. 9/5
E. 9
The slope of a line parallel to the line x + 5y = 9 is; Choice B: -1/5
Slope of a lineThe slope of parallel lines from line geometry are equal.
The given parallel line equation is; x + 5y = 9:
Hence, it follows that the two lines have equal slopes.
By rewriting the equation to take the slope-intercept form of straight lines, it follows that;
y = (-1/5)x + 9On this note, the slope of the parallel lines is; -1/5
Read more on slope of a line;
https://brainly.com/question/3493733
if people are riding the coaster, and their total weight is pounds, what is their average weight?
The average weight of the 60 riders on the rollercoaster is 180 pounds.
To find the average weight of the 60 riders on the rollercoaster, we can divide the total weight by the number of riders.
Given:
Total weight of the riders = 12,000 pounds
Now, let's determine the average weight.
To calculate the average weight, we need to know the distribution of men and women among the riders. Let's assume that the ratio of men to women is equal.
The average weight of adult U.S men is 192 pounds, and the average weight of adult U.S women is 168 pounds. Since the ratio is equal, we can take the average of these two values:
Average weight = (192 + 168) / 2
= 360 / 2
= 180 pounds
To learn more about average weight click on,
https://brainly.com/question/22849665
#SPJ4
Complete question is:
A rollercoaster is being designed that will accommodate 60 riders. the maximum weight the coaster can hold safely is 12,000 pounds. according to the national health statistics reports, the weight of adult U.S men have mean 192 pounds and standard deviation 66 pounds, and the weights of adult U.S women have mean 168 pounds and standard deviation 75 pounds. if 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?
Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest tenths
place.
The volume of the cone is approximately 37.7 cubic units
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of a cone, we use the formula:
V = (1/3) * π * r² * h
where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3) * 3.14 * 3² * 4 ≈ 37.7
Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).
To know more about volume visit:
https://brainly.com/question/463363
#SPJ1
Previous research shows that 65% of murders are committed witha firearm. if 150 murders are randomly selected, use the normalapproximation to the binomial to determine what is the probabilitythat:
100 or more murder arecommitted with a firearm?
a.0.452 b. 0.548
c.0.367 d. 0.164
To solve this problem, we can use the normal approximation to the binomial distribution. Given that 65% of murders are committed with a firearm, we can assume that the probability of a murder being committed with a firearm is 0.65.
To apply the normal approximation, we need to calculate the mean (μ) and the standard deviation (σ) of the binomial distribution. The mean is given by μ = n * p, where n is the sample size and p is the probability of success. In our case, μ = 150 * 0.65 = 97.5. The standard deviation is calculated as σ = √(n * p * (1 - p)), which gives us σ = √(150 * 0.65 * 0.35) ≈ 5.46. Next, we need to convert the problem into a standard normal distribution by using z-scores. The z-score is calculated as z = (x - μ) / σ, where x is the number of murders committed with a firearm that we want to find the probability for. In this case, we want to find the probability of having 100 or more murders committed with a firearm, so we use x = 100. The corresponding z-score is z = (100 - 97.5) / 5.46 ≈ 0.458. Using a standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of 0.458, which is approximately 0.6736. This can be done by subtracting the probability from 1, giving us 1 - 0.6736 ≈ 0.3264. Therefore, the probability that 100 or more murders out of a sample of 150 are committed with a firearm is approximately 0.3264, which is not one of the given options.
Learn more about probability here: brainly.com/question/15573695
#SPJ11
Find the surface area of the pyramid.
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
depression and how to solve
Answer:
get a life
Step-by-step explanation:
wish.com
0.99 usd + shipping 100 usd
there you go
find a vector equation for the line of intersection formed by the intersection of the two planes 2x - y + z = 5 and x + y - z = 1
The line of intersection formed by the two planes 2x - y + z = 5 and x + y - z = 1 can be represented by the vector equation r = <x, y, z> = <2, 3, 4> + t<3, 4, 1>, where t is a parameter.
To find the vector equation for the line of intersection, we need to determine the direction vector and a point on the line.
First, we'll find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the first plane is <2, -1, 1>, and the normal vector of the second plane is <1, 1, -1>. Taking the cross product of these two vectors, we get the direction vector <3, 4, 1>.
Next, we'll find a point on the line of intersection by solving the system of equations formed by the two planes. Subtracting the second plane equation from the first, we get 3x - 2y + 2z = 4. Solving this system along with the original plane equation, we find x = 2, y = 3, and z = 4.
Combining the direction vector and the point on the line, we obtain the vector equation r = <x, y, z> = <2, 3, 4> + t<3, 4, 1>, where t is a parameter. This equation represents the line of intersection formed by the two given planes.
Learn more about plane equation here: https://brainly.com/question/32163454
#SPJ11
For a project in her Geometry class, Aria uses a mirror on the ground to measure t the
height of her school building. She walks a distance of 11.45 meters from the school,
then places a mirror on flaton the ground, marked with an X at the center. She then
steps 1.25 meters to the other side of the mirror, until she can see the top of the
school clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.
The height of the tail post is 13.74 m.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that, after travelling 11.45 metres from her school, she lays a flat mirror on the ground in the center, with an x drawn on it. When she can clearly see the top of the goalpost depicted in the x.
She moves 1.25 metres to the other side of the mirror. Her spouse calculates that there are 1.15 metres between her eyes and the earth.
Suppose the height of the tail post is x,
The geometric relation is,
1.5/1.25 = x/11.45
Apply cross multiplication
1.5×11.45=1.25x
17.175=1.25x
Divide both sides by 1.25
x=13.74
Hence, if she moves 1.25 metres to the other side of the mirror. Her spouse calculates that there are 1.25 metres between her eyes and the earth. The height of the tail post is 13.74 m.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
If you had measured tail length in centimeters instead of millimeters, what would be the correlation
The correlation coefficient between tail length and another variable was 0.8 when measured in millimeters, it would still be 0.8 when measured in centimeters. The only difference would be the magnitude of the numbers, as the values would be 10 times larger in centimeters compared to millimeters.
To determine the correlation between variables, it is necessary to have a dataset or at least the correlation coefficient between the variables of interest. Without specific data or the correlation coefficient, it is not possible to provide an accurate correlation value.
However, assuming that the correlation coefficient remains the same and only the unit of measurement changes from millimeters to centimeters, the correlation itself will not be affected. Changing the unit of measurement simply scales the values but does not alter the relationship between the variables. Therefore, the correlation coefficient would remain the same.
For example, if the correlation coefficient between tail length and another variable was 0.8 when measured in millimeters, it would still be 0.8 when measured in centimeters. The only difference would be the magnitude of the numbers, as the values would be 10 times larger in centimeters compared to millimeters.
For such more questions on Correlation remains unchanged.
https://brainly.com/question/31198084
#SPJ11
Describe people’s opinions using different verbs. Write at least 5 sentences.
PLEASE HELP I POSTED FOR THE 7TH TIME NO ANSWER WILL GIVE BRAINLIEST
Answer:
A mi encantar el arte.
A mis padres interesar el traje.
A ti importar las botas.
A Emelio encantar los deportos.
A Nosotros interesar viajar.
Roediger and Karpicke (2006) investigated whether the test-enhanced learning effect (the demonstration that repeated testing improves memory for material) was due merely to repeated exposure to material. They randomly assigned participants to one of two study conditions (study-study or study-test) and to one of three retention interval conditions (final test at a delay of 5 minutes, 2 days, or 1 week). The dependent variable was the proportion of idea units recalled from an encyclopedia passage. How many cells does this study have
Answer:
6 cells
Step-by-step explanation:
2 by 3 between groups ANOVA will be performed where independent variables are 2 and dependent variables are 3.There are total 6 cells
Independent Var 1 Independent Var 2
Dependent Var 1 1*1 1*2
D. VAr 2 2*1 2*2
D. Var 3 3*1 3*2
There are total six cells.
Study-Study Study-Test
5 minutes, 1*1 1*2
2 days, 2*1 2*2
1 week 3*1 3*2
plss i have 5 mins to have this submitted
The exact volume of the sphere that has a radius of 7 inches, in terms of π , is: 1,372/3 π cubic inches.
What is a Sphere?A sphere is round in shape and can be described as a three dimensional solid shape that has a center that is equidistant from any point on its surface.
What is the Volume of a Sphere?Given that a sphere has a radius that is represented as r, the formula to find the volume of the sphere is:
Volume of sphere = (4/3) × π × r³
Given the parameters:
Radius of the sphere = 7 inches
Plug in the value
Volume of the sphere = (4/3) × π × (7³)
Volume of the sphere = (4/3) × π × 343
Volume of the sphere = 1,372/3 × π
Volume of the sphere = 1,372/3 π cubic inches.
Learn more about volume of a sphere on:
https://brainly.com/question/28023639
#SPJ1
What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is a right angle, angle D B C is a straight angle, m angle A B C = 90 degrees, m angle D B C = 180 degrees, m angle A B D + m angle A B C = m angle D B C, m angle A B D + 90 degrees = 180 degrees, m angle A B D = 90 degrees, angle A B C is-congruent-to angle A B D. The second column is labeled Reasons with entries, given, given, definition of right angle, definition of straight angle, angle addition property, substitution property, subtraction property, and definition of right angle. two-column proof two-paragraph proof flowchart proof one-paragraph proof
Answer:
two-column proof
Step-by-step explanation:
i just did the quiz on ed .. i hope it helps :)
Answer:
A. Two column proof
Step-by-step explanation:
Which graph represents the solution set to this system of equations? Y=-1/2x+3 and Y=1/2x-1
Answer:
The one furthest from the left
Step-by-step explanation:
This graph is the only one with a negative (downward) slope that passes through the 3 intercept, so that automatically rules out the rest and the other line is also correct (upward positive slope passing through -1 int)
Select the graph for the solution of the open sentence. Click until the correct graph appears |x| < 3
|x| < 3 turns into -3 < x < 3
This says that x is between -3 and 3, but cannot equal either endpoint.
The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.
It's the graph below vvv/ Have a good day! xx
Is 9 a solution to
5w - 12 > 64
No
5w - 12 > 64
5w > 64+12
5w > 76
w > 15,2
So, the answer is w > 15,2
Hope I helped :)
Did I graph this equation right?
Equation: P=125+50w
Answer:
yes
Step-by-step explanation:
You want a graph of P = 125 +50W.
Slope-intercept formThe given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.
Axes assignmentsUsually, the independent variable is graphed on the horizontal axis, which you have done.
The dependent variable is graphed on the vertical axis, which you have done.
The axes are correctly labeled and graduated.
InterceptThe "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.
SlopeThe slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.
Yes, you properly graphed the equation.
<95141404393>
An item is regularly priced at $23. Deon bought it on sale for 10% off the regular price. How much did Deon pay?
Answer: $20.70
Step-by-step explanation: He pays $20.70, follow these steps:
The formula for finding the percentage:
Whole number * part percent / 100
Plug in the numbers:
23 x 10 / 100
23 x 10 = 230
230 / 100 = $2.30
That's not all, we need to subtract $2.30 from the original amount. So:
23 - 2.30 = $20.70
After the rebate, Deon pays $20.70
He saves $2.30
I hope this helps!
Multiply (polynomials)
I WILL GIVE BRAINLIEST, NEED IT TODAY
Answer:
1. 12x² - 7x - 10
2. 10x² + 31x - 14
3. 3x² - xy - 9x + 4y - 12
4. 16y^4 - 1
5. 24x² - 21x - 3
6. -2m² - 2m + 12
7. 15d² - 31d - 12
8. 12x³ + 5x² - 2x
9. 6t² - 20t - 26
10. 48a² - 12b²
Step-by-step explanation:
1.
\((3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)\) \(12x^2-15x+8x-10\) \(12x^2-7x-10\)2.
\((5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)\) \(10x^2-4x+35x-14\) \(10x^2+31x-14\)3.
\((x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)\) \(3x^2-xy+3x-12x+4y-12\) \(3x^2-xy-9x+4y-12\)4.
\(((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)\) \(16y^4-4y^2 + 4y^2 -1\) \(16y^4 - 1\)5.
\((3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)\) \(24x^2+3x-24x-3\) \(24x^3-21x-3\)6.
\((-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)\) \(-2m^2+4m-6m+12\)\(-2m^2-2m+12\)7.
\((5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)\) \(15d^2 + 5d - 36d -12\) \(15d^2-31d -12\)8.
\((3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)\) \(12x^3-3x^2+8x^2-2x\) \(12x^3+5x^2-2x\)9.
\((3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)\) \(6t^2 + 6t - 26t -26\) \(6t^2-20t-26\)10.
\((4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)\) \(48a^2+24ab-24ab-12b^2\)\(48a^2-12b^2\)Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)