Answer: 1st and 3rd 2nd and fourth hope this helps :3
Step-by-step explanation:
Barnaby decided to count the number of ducks and geese flying south for the winter. On the first day he counted 175 ducks and 63 geese. By the end of migration, Barnaby had counted 4,725 geese. If the ratio of ducks to geese remained the same (175 to 63), how many ducks did he count?
Answer:
13,125 ducks
Step-by-step explanation:
The ratio of ducks:geese on the first day was:
175:63
On the last day (end of migration), he counted 4,725 geese.
To find the number of ducks using the same ratio, we are first going to divide 4,725 by 63 to find what number all the ducks and geese multiplied by:
4,725/63 = 75
The geese multiplied by 75. This means the ducks also multiplied by 75:
175*75 = 13,125
Barnaby counted 13,125 ducks.
Hope it helps (●'◡'●)
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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The equation of the line y = -x/2 + 6, with slope -1/2,
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
slope m = -1/2.
So the line can be formed by (y-y1) = m (x-x1)
(y-7) = -1/2* (x+2)
y = -x/2 - 1+7
y = -x/2 + 6
Hence the equation of the line y = -x/2 + 6.
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Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Don't guess please.
Simplify: [3(2a)^3/2]^2
A: 24a^3
B: 34^4√2a^9
C: 216a^3
D: 72a^3
Answer:
the answer is A........
an art gallery is selling replicas of some famous art work. a copy of the art work is dilated by a scale factor of 1/3 to create a replica of the original piece. if the area of some original artwork was 12 square feet what will be the area of the replica?
Answer:
4/3 square feet.
Step-by-step explanation:
To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:
Area of dilated figure = Area of original figure x (Scale factor)^2
In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:
Area of replica = 12 x (1/3)^2
Area of replica = 12 x 1/9
Area of replica = 4/3
So, the area of the replica is 4/3 square feet.
Hope this helps :)
A moving company charges a flat rate of $150, and an additional $5 for each box. if a taxi service would charge no flat rate and $15 for each box, how many boxes would you need for it to be cheaper to use the moving company? (do not label your answer)
Answer:
16 boxes
Step-by-step explanation:
16x5=80+150=230>15x16=240
18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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27–34: Describing Distributions. Consider the following distributions.-How many peaks would you expect the distribution to have? Explain.-Make a sketch of the distribution.-Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain.-Would you expect the variation of the distribution to be small, moderate, or large? Explain.#29The annual snowfall amounts in 50 randomly selected American cities
Answer:
Step-by-step explanation:
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
i need to simplify the equation
Which expression is equivalent to the given polynomial expression?
(-4a2 – 36) + (-2ab – a2 + 2) + (-82 + 6ab)
OA. -3a2 + 4ab + 36
OB. -3a2 + 252 + 8ab + 36
O C. -5a2 + 4ab
36
OD -5a2 + 252 + 8ab + 36
Answer:
The equivalent expression is: \(-5a^2 + 4ab + 116\)
Step-by-step explanation:
An equivalent expression to the one given can be found removing first from the parenthesis, and then combining the like terms. So
\((-4a^2 - 36) + (-2ab - a^2 + 2) + (-82 + 6ab)\)
Removing from the parenthesis
\(-4a^2 - 36 - 2ab - a^2 + 2 - 82 + 6ab\)
Combining the like terms:
\(-4a^2 - a^2 - 2ab + 6ab - 36 + 2 - 82\)
\(-5a^2 + 4ab + 116\)
The equivalent expression is: \(-5a^2 + 4ab + 116\)
4.
The distance around the school track is 0.25 mile. It takes Maribeth 5.1 minutes to run 2 laps around the school track. At that pace, how long does it take Marib
A 2.55 minutes
B 7.65 minutes
C 10.2 minutes
20.4 minutes
Answer:
the distance around the school track would be x
Step-by-step explanation:
you would have to divide 0.25 by 5.1 is 20.4
The difference between seven times a number and 9 is equal to five times
the sum of the number and 2. Find the number. Hint: There will be
parenthesis in your equation.
Answer:
The number is 9.5
Step-by-step explanation:
Look at the picture above, it explains everything
Pete worked 65 hours. 40 of those hours were at his regular rate of $15.00 per hour. The other 25 hours were at an
overtime rate of 1.5 times his regular rate. If his total earnings were $1,162.00, how much money did he make for the 25
hours of overtime?
Answer:
I’m not sure if it’s 562 or 562.5
Step-by-step explanation:
Hourly rate x hours worked
40x15
overtime
hourly rate x overtime rate x hours
15x1.5x25
4) Given g(x)=-2x-15, find g(6).
A) g(6)=3
C) g(6)=-27
B) g(6) = -3
D) g(6)=-41
Answer:
g(6) = - 27
Step-by-step explanation:
Given
g(x) = - 2x - 15
g(6) = - 2 * 6 - 15 = - 12 - 15 = -27
Hope it will help :)
Graph the line with the equation y=-1/4x+1
Jean's bedroom is 10 feet by 10 feet. She has chosen a carpet which costs $28.05 per square yard. This includes installation.
Answer:
Step-by-step explanation:
100x$25.05= $2505
Answer: $2,805
Step-by-step explanation: I assume you want to know how much it costs. You multiply 10 feet by 10 feet and get 100 ft squared, and that means 100 square yards, so you would multiply 28.05 by 100 and get $2,805.
Can anyone do this without seeing the whole thing?
Answer:
It is the first graph that is shown on the screen
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
KL = 7, so B is the correct answer.
Which equation in standard form has a graph that passes through the point (15,3) and has a slope of ¼?
Answer:
2y - 9x - 40 = 0
Step-by-step explanation: i already done the test
.Lakewood Auditorium For the next movement, the director tells the students to move on the stage so that rectangle ZYXW is translated 25 feet to the left and 20 feet down. What are the coordinates of rectangle Z′Y′X′W′ '?
Answer:
hwhjwjaikwkww jajjksisiofee oakw
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
the amount of gas in sarahs car is uniformly distributed between 1 and 16 gallons. Calculate the probability that the amount of gas is exactly 7 gallons
Answer:
The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Step-by-step explanation:
Let the random variable X represent the amount of gas in Sarah's car.
It is provided that \(X\sim Unif(1, 16)\).
The amount of gas in a car is a continuous variable.
So, the random variable X follows a continuous uniform distribution.
Then the probability density function of X is:
\(f_{X}(x)=\frac{1}{b-a};\ a<X<b\)
For a continuous probability distribution the probability at an exact point is 0.
So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:
P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)
= P (6.5 < X < 7.5)
\(=\int\limits^{7.5}_{6.5} {\frac{1}{16-1}} \, dx \\\\=\frac{1}{15}\times |x|^{7.5}_{6.5}\\\\=\frac{1}{15}\times (7.5-6.5)\\\\=\frac{1}{15}\\\\=0.0666667\\\\\approx 0.067\)
Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
QUESTION 1 MRH CHO3_2001A Discrete PMF Customers select a variety of upgrades when they purchase your software. The number of upgrades purchased per customer is given by the following probability mass function: f(0) -0.50 f(1) - 0.20 f(2)=0.06 f(3) - (unreadable) What is the expected value of the number of upgrades selected? (Hints you will first need to figure out the value of f(3). Remember what do all probability mass functions sum to?) Carry your answer to at least three decimal places.
The expected value of the number of upgrades selected is 1.04.
The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.
First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:
1 = f(0) + f(1) + f(2) + f(3)
1 = 0.50 + 0.20 + 0.06 + f(3)
f(3) = 1 - (0.50 + 0.20 + 0.06)
f(3) = 0.24
Now that we know the value of f(3), we can calculate the expected value as follows:
E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)
E(X) = 0 + 0.20 + 0.12 + 0.72
E(X) = 1.04
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Barry and Evelyn know they want a 15 year mortgage for their new home purchase. They are planning to borrow $160,000. Two local lending institutions have similar offers. Loan A is offering a 3% annual interest rate leading to a monthly payment of $1104.93. Loan B is offering a 4% annual interest rate leading to a monthly payment of $1183.50.
Answer:
Loan A: $198887.40
Loan B: $213030
Step-by-step explanation:
To find the total payback use the equation:
P x 12 x t
P= monthly payment
t= time in years
Loan A: 1104.93 x 12 x 15= $198887.40
Loan B:1183.50 x 12 x 15= $213030
Hope this helps :)
Which is a unit rate?
15 miles per gallon
Step-by-step explanation:
Step:1
From given, the rate is
= 15 miles per gallon
= \frac{15}{1}115 = 15 miles.........................(1)
Step:2
Check for Option A,
= 30 miles per 3 gallons
= \frac{30}{3}330 = 10 miles.....................(2)
From the eqn (1) and (2),
Eqn (1) ≠ Eqn (2)
Step:3
Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.
Step:4
Check for Option D,
= 60 miles per 4 gallons
= \frac{60}{4}460 = 15 miles.........................(3)
From the eqn (1) and (3),
Eqn (1) ≠ Eqn (3)
Result:
The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .
Plot −5/4 and its opposite on the number line.
Select the points on the line to plot.
-3 | | | -2 | | | -1 | | | 0 | | | 1 | | | 2 | | | 3