The pre-image and image of what transformation are not congruent?
O A. dilation
O B. reflection
O C. translation .
O D. rotation​

Answer:

ok i am here to explain :)

Step-by-step explanation:

So, for #6, all we do is -8+6, since it said sum, so we add, and we get -2. this is 2 more than -4, and to check, all we would have to do is -4+2, which equals -2.

for #7, all we have to do is -8+(-6), since again it says sum so we add. the sum of these values are -14. for the second part, because it says "product" this means we multiply! and when we multiply -2 by 4, we get -8. this would lead us to believe that the sum is 4 less than. we can check it by subtracting positive 4 from the  negative 8, or -8-4, which would give us -12.

for #11, all i really did was plug it into a calculator, and for the first one, i got 4, and for the second one i got -4. this would give us a difference of 8, and to check all we would have to do is add the 8 to the negative 4, or -4+8=4.

Hope this helps, please mark as brainlest.

Answer:

6: -2

7: 14

11: -4

Step-by-step explanation:

6:

-8 + 6 = -2

-2 is bigger than -4 because it is closer to 0. If it was regular numbers, like 2 and 4, 4 would be larger! :)

7:

-8 - 4 = -12

4 - 2 = 2

The correct answer is 14 because there are 14 numbers between 4 and -12 :)

11:

(–3 + 5)^2

2^2

4

–(–3 + 5)^2

-2^2

-4

The correct answer is 4 because it is a positive number and positive numbers are ALWAYS bigger than negative numbers :)

Have a great day!!

Please rate and mark brainliest!!

Answer:

76cm^2

Step-by-step explanation:

Can be divided in three parts

Part 1; Area= 6×2

=12cm^2

Part 2; Area= 2×2

=4cm^2

Part 3; Area= 10×6

=60cm^2

Add them; 60+4+12

76

Answer:

area 1

10x6

=60

area 2

2x4

=8

area 3

2x4

=8

total area is 60+8+8

total area is 76m²

Answer:

in this order (0,0) (1,2) (2,4) (3,6)

Step-by-step explanation:

pls mark brainliest

I can't see pictures, but to graph y=2x, you have to make 2x into slope form.

Just write 2 as a fraction, or 2/1. 2 is the rise, and 1 is the run. So start at the origin, or (0,0), and go up 2 units, then 1 unit right. So you start at (0,0), then now you should be at (1,2). Repeat the process to make a straight line.

---

hope it helps

The standard form expression of the equation as given in the task content is; 6x² -3x +16 = 0.

According to the task content above;

It follows that to write the equation in the standard form; ax² +bx +c= 0.

One must expand and rewrite the equation as follows;

3x -6x² = 16

6x² -3x +16 = 0.

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First, let's verify the base case (n = 0):

When n = 0, the left-hand side of the equation is just 1, and the right-hand side is (r - 1)/(r^(0+1) - 1). Since any non-zero number raised to the power of 0 is 1, we have (r - 1)/(r - 1) = 1, which satisfies the equation.

Next, we assume that the formula holds for some arbitrary value of n, and we'll prove that it holds for n + 1:

Assuming the formula holds for n, we have 1 + r + r^2 + ... + r^n = (r - 1)/(r^(n+1) - 1).

Now, let's consider the left-hand side of the equation when n = n + 1:

1 + r + r^2 + ... + r^n + r^(n+1) = (r - 1)/(r^(n+1) - 1) + r^(n+1)

To simplify, we can multiply both sides of the equation by (r - 1) to eliminate the fraction:

(r - 1) + r(r - 1) + r^2(r - 1) + ... + r^n(r - 1) + r^(n+1)(r - 1) = (r - 1) + r^(n+1)

Now, let's factor out (r - 1) from the left-hand side:

(r - 1)(1 + r + r^2 + ... + r^n + r^(n+1)) = (r - 1) + r^(n+1)

Using the induction hypothesis, we can substitute (r - 1)/(r^(n+1) - 1) for 1 + r + r^2 + ... + r^n:

(r - 1) * ((r - 1)/(r^(n+1) - 1)) = (r - 1) + r^(n+1)

Canceling out (r - 1) from both sides, we are left with:

(r - 1)/(r^(n+1) - 1) = 1

This completes the induction step, and we have shown that if the formula holds for some value of n, it also holds for n + 1.

Therefore, by the principle of mathematical induction, the given formula 1 + r + r^2 + ... + r^n = (r - 1)/(r^(n+1) - 1) holds for all n∈N and r ≠ 1.

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Answer:

B=45

Step-by-step explanation:

let the supplamentary angle of <A is <d

180-A=d

180-135=d

45=d

90+d+B=180

90+45+B=180

135+B=180

B=180-135

B=45

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

half life = 12.4 hours

initial amount = 746g

time elapsed = 62 hours

Using the half-life formula:

Substitute for the values:

Hence, the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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Answer:

y=(-1/2)(x)-8

Step-by-step explanation:

Since they give the slope and y intercept, you can literally plug it into the equation:

y=mx+b

where m is slope and b is y interecept.

Therefore, we get

y=(-1/2)(x)-8

Step-by-step explanation:

Let's start by converting milliliters to liters:

2000 mL = 2L

Now just see which of these numbers is the smallest:

0.7

then see the second smallest number:

2

and finally:

4,1

The order will be: 0.7 L, 2L, 4,1 L.

Answer:

\((2x - 1)x(2x - 3)\)

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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Answer:

A = 4

B = 2

2* (6 * 4) = 48

Please mark as brainliest if answer is right

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Thank u  

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We can start by using the formula for a geometric series:

S = a + ar + ar^2 + ...

where S is the sum of the series, a is the first term, r is the common ratio.

Let's choose a = e and r = e. Then we have:

S = e + ee + eee + ... = e(1 + e + e^2 + ...)

Now we can use the formula for the sum of an infinite geometric series with |r| < 1:

S = a / (1 - r)

Substituting our values, we get:

e(1 + e + e^2 + ...) = e / (1 - e)

Multiplying both sides by (1 - e), we get:

e(1 + e + e^2 + ...) (1 - e) = e

Simplifying the left side using the distributive property, we get:

e - e^2 + e^2 - e^3 + e^3 - ... = e

All the terms after the first two cancel out, leaving us with:

e - e^2 = e(1 - e)

Dividing both sides by e(1 - e), we get:

1 = 1/(1 - e) + 1/e

Multiplying both sides by e(1 - e), we get:

e(1 - e) = (1 - e) + e(1 - e)/e

Simplifying the right side, we get:

e(1 - e) = 1

So we have:

ex = Px(1 + ex+1)

Multiplying both sides by e, we get:

ex+1 = Pe(x+1) + e^(x+1)

Substituting x = 59, we can use the table to find P60:

e60 = P60(e61 + 1)

15.96 = P60(15.27 + 1)

15.96 = P60(16.27)

P60 = 15.96/16.27

P60 ≈ 0.98

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The correct option is c) between 32 and 37. The box part of the box plot contains all the values between 32 and 37.

A box-and-whisker plot, also known as a box plot, is a visual representation of a set of data that shows the distribution and variability of the data. The box part of the box plot contains the middle 50% of the data, which is also known as the interquartile range (IQR).

In the given example, the box ranges from 32 to 37, which means that 50% of the data falls within this range. The line that divides the box at 36 represents the median, which is the middle value of the data set.

The whiskers, on the other hand, extend from the box to the minimum and maximum values in the data set that are not considered outliers. In this example, the whiskers range from 27 to 40, which means that the minimum and maximum values in the data set are 27 and 40 respectively.

Therefore, the answer to the question is option C, between 32 and 37, as this is the range that the box covers. The other options do not correctly represent the range of values that fall within the box.

Overall, box-and-whisker plots are useful tools for summarizing and comparing data sets, as they provide a clear and concise visual representation of the distribution and variability of the data.

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Step-by-step explanation:

3a + 2 = 8 ==> a=2

12 + 2 = c ==> c=14

3b + 2 = 2 ==> b=0

3d - e = 15

4d - e = 21

fd - e = 45

------------------

d=6

e=3

f=7

Hope to helpfull

Answer:

193.2

Step-by-step explanation:

The way you would find the volume to a rectangular prism, is multiplying your length x width x height.

Answer: Mark is 11

Step-by-step explanation: This is something you can figure in your head by counting up or down. If we put in 18 for Mark's brothers age, we get 11 for Mark. 11+18=29.

Answer:

Puppy 1 = 8.6 ounces

Puppy 2 = 9.4 ounces

Puppy 3 = 8.5 ounces

Step-by-step explanation:

Weights of 3 puppies at one week old were

Puppy 1 = 6.5​ ounces

Puppy 2 = 7.3​ ounces

Puppy 3 = 6.4 ounces

Each puppy gained 2.1​ ounces

Puppy 1 = 6.5​ ounces + 2.1 ounces

Puppy 2 = 7.3​ ounces + 2.1 ounces

Puppy 3 = 6.4 ounces + 2.1 ounces

New weight

Puppy 1 = 8.6 ounces

Puppy 2 = 9.4 ounces

Puppy 3 = 8.5 ounces

If the puppies each gained 2.1 ounces, the new weight is given above

The average commute for 95% of the students is between 19.0 and 4.2 miles.

The average distance is 19 miles.

Therefore, the standard deviation is 4.2 miles.

A) 2.7 = 19 - a(4.2)

where;

a deviates from the mean by a certain number of standard deviations. Thus;

a = (19 - 2.7) ÷ 4.2

a = 3

In a normal distribution, 3 standard deviations from the mean indicate that 95% of the data falls within that range.

B) The data are 2 standard deviations apart from the mean at the 95% confidence level. Thus;

CI = 19 ± 2(4.2)

CI = (18 - 10.2) OR (18 + 10.2)

CI = (7.8, 28.2)

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The expression can be expressed in the form of x².

The value of a is 2.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

We have an expression,

\(x^{3/2}\)×√x.

Simplifying,

\(x^{3/2}\)×√x,

= \(x^{3/2} x^{1/2}\)

= \(x^{3/2+1/2}\)

=  \(x^{2}\)

Therefore, the value of a is 2.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer:

A

Step-by-step explanation:

It starts off at positive 3

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

Right skewed

Step-by-step explanation:

The shape of a distribution could be classed based on the position of the peak and position of the tails formed by the distribution. A distribution is described as being Symmetric if the peak is situated at the middle of the distribution with the tails being evenly spread to the right and left of the peak.

When the peak of the distribution shifts either to the left of right, then we have a skewed distribution. A distribution is said to be right skewed if it has a longer tail to the right while it is left skewed if the loner tail is to the left of the distribution.

The distribution Given above, the tail is longer to the right with the peak in the left. Hence we have a right skewed or positively skewed distribution

Answer:

one hundred thirty four and zero nine

Answer:

A reasonable range for the function y=0.1x+12 would be all real numbers greater than or equal to 12. This is because the minimum monthly phone bill that Ben could have would be $12 (if he does not use any minutes), and the monthly bill can increase to any higher value depending on the number of minutes he talks. In set builder notation, this range would be written as {y | y >= 12}.

Step-by-step explanation:

Answer:

Your answer is

X = 4

Y = 56

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Int the place of F(x) PLUG IN 4X+6 AND THEN SIMPLIFY THE EXPRESSION.BELOW IS THE RESPONSE:

\(g(x) = \frac{1}{2} \times (4x + 6) \\ g(x) = \frac{1}{2} \times 2(2x + 3) \\ g(x) = 2x + 3\)

g(x)=2x+3

IT MEANS IN THE BLANKS YOU WILL INSERT 2 IN THE FIRST BLANK AND IN THE SECOND BLANK INSERT 3

HOPE THIS HELPS