After one week looking, Austin has 7 pet lizards he has found in his neighborhood. Each week, he is hoping to catch 3 more to add to his collection. How many lizards will he have after 8 weeks

Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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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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Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is \(s = \frac{6}{\sqrt{n}}\) and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that \(\mu = 78, \sigma = 6\)

Samples of n:

This means that the standard deviation is:

\(s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}\)

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is \(s = \frac{6}{\sqrt{n}}\) and the shape is approximately normal.

Step-by-step explanation:

if 1425 then the answer is 100

if it's 62.25 then 77 percent

Answer:

3/13

Step-by-step explanation:

It is: 6/26 = 3/13 as a fraction in its simplest form

Answer: your answer would be 3/13

Step-by-step explanation: 6:26 (divide each number by 2 and you get 3:13)

BRAINLIEST PLS

Answer:

a lot

Step-by-step explanation:

bw z sj shs ss hs eusbshsjid shsi

Good luck                                              hbguivyvcfchgfgychcfhgchchgvgh                                                                                    

The value of the function when differentiated w.r.t "x" is -2 / 1+x^2.

To differentite the function \(f(x) = tan^{-1}(\frac{1-x}{1+x}) - tan^{-1}(\frac{x+2}{1-2x})\) w.r.t "x", we have to make use of chain rule and the derivative of the inverse tangent function. By applying both the methods, we have to find out the differentiated value of the function.

Chain rule is basically a fundamental rule in calculus that allows us to find the derivative of a function. The chain rule comes out to be very usefull when the functions are layered. On the other hand, inverse tangent function is a mathematical function that takes an input value and returns the angle whose tangent is equal to that value.

We know that;

\(tan^{-1}a - tan^{-1}b = tan^{-1}(\frac{a-b}{1+ab} )\)

So, by following the above method we get the function as:

\(f(x) = (tan^{-1}1 - tan^{-1}x) - (tan^{-1}x + tan^{-1}2)\)

\(f(x) = tan^{-1}1 - tan^{-1}2 - 2tan^{-1}x\)

Now, differentiating both the sides w.r.t "x":

f'(x) = 0 - 0 - 2/1+x^2

f'(x) = 2/1+x^2

Therefore, the value of the function when differentiated w.r.t "x" is

-2 / 1+x^2.

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Answer:

what exactly do i need to do ?????

Step-by-step explanation:

Answer:

308 hours?

Step-by-step explanation:

Simple multiplication is good with a calculator.

The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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The total area of the composite figure that has a triangle and a rectangle is; A: 65

From the figure given, we see a rectangle and a triangle that makes up the composite figure.

Area of Triangle = 1/2 * base * height

Area of triangle = 1/2 * 10 * 7 = 35 sq.units

Area of rectangle = 10 * 3 = 30 sq.units

Total area of composite figure = 35 + 30

Total Area of composite Figure = 65 sq. units

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The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

From the question, we have the following parameters that can be used in our computation:

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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A variable is a term used to express the unknown value or quantity.

A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.

For example: let x denote the number of hours taken by Sam to complete his work.

When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.

The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.

Therefore, a variable is a term used to express the unknown value or quantity.

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Answer:

its multiply by 2

Step-by-step explanation:

the reason for this is because 5 x 2=10

10 x 2 =20

15 x 3 = 30

may i have brainliest

Answer:

The better value is 5pounds for $11

Step-by-step explanation:

2.75×5= $13.75

so the 5 pounds for $11 would be better because the other option would cost $13.75 for the same amount

Answer:

buying the box for $11 is the better option

2.75×5=13.75

so 5 pounds separately would be $13.75

Step-by-step explanation:

Your question is incomplete please edit it.

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

Answer:

So, I guess you want to know what the number is?

number / 16 = quotient

number = 16 * 827

number = 13,232

Step-by-step explanation:

The formula syntax is=sum(range start: offset( reference, rows, cols)
Day   SALES TOTAL
1          1325.47    
2         1502.69    
3          1452.14
4          1398.85
           =sum(B2)  
          2724.32
5          1458.25  
TOTAL:  7137.40    

The formula for sum of few column cells is,

When you select cell B7, the updated formula appears in the formula bar.

=SUM(B2:OFFSET(B7,-1,0)).                

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Answer:

-12.90, -12.55, 10.25, 10.75, 12.50

Step-by-step explanation:

this is from least to greatest

Answer:

5/3

Step-by-step explanation:

5/6 divided by 1/2 =

5/6 * 2/1 =

10/6 =

5/3

Pls mark Brainiest :)

a) The ball is at 5 feet height when it leaves the child's hand

b)  The maximum height of the ball is 131 feet

c) 84.825 ft  far from the child, the ball strike the ground

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

(a)

At the beginning when the ball leaves the hand of the child, the horizontal distance was 0, so putting x=0 we can get the height of the ball.

at time zero, t=0, the distance is 5 feet, so the ball is at 5 feet height

(b)

the max occurs at the average of the solutions, which is 28.

or -b/2a = -6/(2*-1/14) = -6/ (-1/7) = 42 ft

-(1/14)*42^2 +6*42 + 5 = 131

so the max height is 131 feet after 42 feet

(c)

(-1/14) x^2 + 6x + 5 =0

x^2 - 84x - 70 = 0 <--- after multiplied by -14

x = 84.825, x = -0.825

the ball will hit the ground at (56 + sqrt(3416)) / 2 = 84.825 ft

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The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

The rate of interest is 20% and the sum is $3,750

Step-by-step explanation:

In order to calculate the sum and rate of interest we would have to make the following calculation:

rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1

According to the given data we have the following:

sum in 4 years=$7,776

sum in 3 years=$6,480

Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296

Therefore, rate of interest=$1,296*100/$6,480*1

rate of interest=20%

To calculate the sum we would have to make the following calculation:

FV=PV(1+20%)∧3

$6,480=PV(1,20)∧3

PV=$3,750

Sum is $3,750

Answer:

-13

Step-by-step explanation:

Substitute:  -5 + 4 × (-2)

Remove the parentheses: -5 -4 ×2

Calculate the product or quotient: -5 -8

Calculate the sum or difference: -13