I need some assistance with this

Answer:

Below

Step-by-step explanation:

(4x- 9)(4x + 9)        Just by looking.....

Answer:

The function y = 3(x - 2)^2 + 6 is in vertex form, which is y = a(x - h)^2 + k, where (h,k) is the vertex of the parabola.

In this case, the vertex is (2,6), and the coefficient "a" is 3, so we can write the equivalent function in standard form as follows:

y = 3(x - 2)^2 + 6

y = 3(x^2 - 4x + 4) + 6

y = 3x^2 - 12x + 18

Therefore, the equivalent function in standard form is y = 3x^2 - 12x + 18.

Yes, a line / is said to be tangent to a circle at a point P if and only if it meets the circle at P and at no other point besides P. Given a circle centered at a point O, a point P on the circle, and a line / passing through P, we can show that / is tangent to the circle at P if and only if it is perpendicular to the line OP.

To show this, first consider a line / that is perpendicular to the line OP. Since the line OP is the line connecting the point P and the center of the circle, O, the line / must intersect the circle at P and nowhere else. This means that / is tangent to the circle at P.

Now, consider a line / that is not perpendicular to the line OP. Since / is not perpendicular to the line OP, it will either intersect the circle at two points or not at all. Since it is not tangent to the circle, it cannot intersect the circle at only one point, P. Therefore, we have shown that a line / is tangent to a circle at a point P if and only if it is perpendicular to the line OP.

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The shape of the distribution of the sample mean for all possible simple random samples of size 5 from this population is approximately Normal

If the amount of orange juice that can be obtained from a single orange is Normally distributed, then the distribution of the sample mean of orange juice obtained from a sample of size 5 from this population will also be Normally distributed.

The mean of the sample mean distribution will be equal to the population mean, which is the mean amount of orange juice that can be obtained from a single orange.

The standard deviation of the sample mean distribution, also known as the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size.

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The given question is incomplete, the complete question is:

The amount of orange juice that can be obtained from a single orange is Normally distributed. A manufacturing company selects an SRS of size n = 5 from the population of all oranges in their inventory and calculates the sample mean amount of orange juice that is obtained. What is the shape of the distribution of the sample mean for all possible simple random samples of size 5 from this population?

Answer:

Proof:

Using the given information, we know that PQ is approximately equal to QS and QS is exactly equal to ST.

Since a value that is approximately equal to another value can be treated as equal in many cases, we can say that PQ is roughly equal to ST.

To prove that PQ is exactly equal to ST, we must use the transitive property of equality.

Transitive Property of Equality: If a = b and b = c, then a = c.

Using the transitive property, we can say:

PQ ≈ QS and QS = ST → PQ ≈ ST

Since PQ is approximately equal to ST and they have the same units of measurement, we can round the values to the same number of decimal places and say:

PQ ≈ ST ≈ rounded value

Therefore, PQ is exactly equal to ST because they have the same rounded value.

The answer is Start Fractiοn 2 οver 7 End Fractiοn.

Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.

Kyle's handful οf trail mix cοntains a tοtal οf 2 + 4 + 3 + 5 = 14 items.

The prοbability οf picking a peanut is the number οf peanuts in the handful divided by the tοtal number οf items in the handful:

prοbability οf picking a peanut = number οf peanuts / tοtal number οf items

prοbability οf picking a peanut = 4 / 14

Simplifying the fractiοn by dividing bοth the numeratοr and denοminatοr by 2, we get:

prοbability οf picking a peanut = 2 / 7

Therefοre, the answer is StartFractiοn 2 οver 7 EndFractiοn.

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The value of x would be equal to 20 degrees.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We are given the parameters as;

7x and (x + 20)

The sum of angle is equal to 180.

7x + (x + 20) = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160/8

x = 20

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The correct match of the accounting terms such as assets, debits, and credit, would be:

This is a matching exercise that matches various accounting terms with their definitions. Here are the meanings of the terms:

These are some terms in accounting which are used to ensure that proper records are taken.

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If each hamburger she makes has a mass of about 0. 125 kg she can make a maximum of 16 hamburgers with the amount of ground beef she has.

To determine how many hamburgers Kendra can make, we need to divide the total mass of ground beef by the mass of each hamburger:

Total mass of ground beef = 0.652 kg + 0.545 kg + 0.824 kg = 2.021 kg

Number of hamburgers = Total mass of ground beef / Mass of each hamburger

Number of hamburgers = 2.021 kg / 0.125 kg = 16.168

Since Kendra can only make whole hamburgers, she can make a maximum of 16 hamburgers with the amount of ground beef she has.

Calculation of how many items can be made with a given amount of material, based on the mass of each item and the total mass of the material available.

In the context of the question, Kendra has three packages of ground beef with different masses and wants to make hamburgers, each with a specific mass. To determine how many hamburgers she can make, we need to calculate the total mass of ground beef available and then divide it by the mass of each hamburger.

This concept can be applied in many different situations, such as determining how many cookies can be made with a given amount of dough or how many pieces of clothing can be made with a certain amount of fabric. It is a useful skill in cooking, baking, and manufacturing, as it helps to ensure that resources are used efficiently and waste is minimized.

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Answer: if under 15 miles, then use Red cab company. if over 15 miles, then use Yellow cab company

Step-by-step explanation:

first, need to identify equations for the each cab company.

let X be the mile driven and Y be the fare cost

red cab cost:   Y= 1.25X + 3.50

yellow cab cost:   Y = 1.15X + 5

I like to use the combination method to eliminate one variable

multiply -1 to one of the equation so -1[  Y= 1.25X + 3.50 ] = -Y = -1.25X -3.50

combine (add) them and eliminate the Y value

-Y = -1.25X - 3.50

Y =   1.15X + 5

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

0 = -0.1X  + 1.5

0.1X  = 1.5

X = 1.5/0.1 = 15

input X = 15 to the original equation(s) to find Y

Y = 1.15(15) + 5 = 17.25 +5 = 22.25

Y= 1.25(15) + 3.50 = 18.75 + 3.5 = 22.25

X = 15 miles and Y = $ 22.25

these values represents the red and yellow cab companies will charge the same amount when going exact 15 miles.

What if X is under or over 15 miles?

if X = 10 (under 15 miles)

red cab cost:   Y= 1.2(10) + 3.50 = 12 + 3.50 = 15.50 (cheaper)

yellow cab cost:   Y = 1.15(10) + 5 = 11.50 + 5 = 16.50

You can test out the X when greater than 15 miles

Conclusion.

if under 15 miles, then use Red cab company. if over 15 miles, then use Yellow cab company

Answer:

  100°

Step-by-step explanation:

You want the missing arc measure in the geometry where two chords cross at 85° and they intercept one arc of measure 70°.

The angle where chords cross is the average of the two arcs that they intercept. Here, that means ...

  85° = (AE +BC)/2

Solving for BC, we get ...

  2(85°) = AE +BC

  BC = 170° -AE = 100°

The missing arc measure is 100°.

Answer:

<HDG = 39°

Step-by-step explanation:

Red square is a right angle which mean its a 90°

Those two angle <CDG and <HDG are complementary angle which mean they both add up to 90°

<CDG + <HDG = 90°

51° + (3t+15)° = 90°

Solve for t.

3t + 51 + 15 = 90°

3t + 66 = 90°

3t = 24

t = 8

Plug t = 8 into <HDG to find the measurement.

<HDG = 3t + 15

<HDG = 3*8 + 15

<HDG = 24 + 15

<HDG = 39°

The slopes of opposite sides are equal, which means that they are parallel. Therefore, JKLM is a parallelogram.

Opposite sides have different slopes, which means that they are not parallel. Therefore, JKLM cannot be a rhombus because a rhombus is a special case of a parallelogram where all four sides are congruent and opposite sides are parallel.

A parallelogram is a quadrilateral (a four-sided polygon) in which opposite sides are parallel.

A rhombus is a special type of parallelogram in which all four sides are congruent.

To prove that quadrilateral JKLM is a parallelogram, we need to show that opposite sides are parallel.

We can find the slope of each side by using the formula:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of JK:

(-5 - 1) / (1 - (-3)) = -6/4 = -3/2

The slope of LM:

(4 - (-2)) / (3 - 7) = 6/-4 = -3/2

The slope of KL:

(-2 - (-5)) / (7 - 1) = 3/6 = 1/2

The slope of MJ:

(1 - (-5)) / (-3 - 1) = 6/-4 = -3/2

We can see that the slopes of opposite sides are equal, which means that they are parallel. Therefore, JKLM is a parallelogram.

To prove that JKLM is not a rhombus, we need to show that at least one pair of opposite sides are not congruent.

We can find the length of each side using the distance formula:

Length of JK:

√[(1 - (-5))² + (1 - (-3))²] = √[36 + 16] = √[52]

Length of KL:

√[(-2 - (-5))² + (7 - 1)²] = √[9 + 36] = √[45]

Length of LM:

√[(4 - (-2))² + (3 - 7)²] = √[36 + 16] = √[52]

Length of MJ:

√[(-5 - 1)² + (-3 - 1)²] = √[36 + 16] = √[52]

We can see that all four sides have the same length, which means that they are congruent. Therefore, JKLM is a rhombus.

However, we can also see that opposite sides have different slopes, which means that they are not parallel. Therefore, JKLM cannot be a rhombus because a rhombus is a special case of a parallelogram where all four sides are congruent and opposite sides are parallel.

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The time interval for which the patient will receive pain relief is [1.3, 8.3] hours.

To determine this, we can use the equation C(t) = 60t + 12t + 6, where t is the number of hours after the surgery. Setting C(t) = 1010 and solving for t, we get t = 13.3, so the patient will receive pain relief for t > 13.3 hours, or [1.3, 8.3] hours.

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The triplets 20, 48, 52 is a Pythagorean triplet.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

We know, Any three numbers to be a Pythagorean triplet,

The sum of the squares of any smaller side must be equal to the square of the third side.

Now, 20² + 48² = 52².

400 + 2304 = 2704

2704 = 2704.

So, The first option 20, 48, 52 it self is a Pythagorean triplet and we don't need to check further options.

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The sum of two numbers is 146. The larger number is 16 less than 5 times the smaller number, the two numbers are 27 and 119.

Let's call the smaller number "x" and the larger number "y". We can write two equations based on the information given:

The sum of two numbers is 146: x + y = 146

The larger number is 16 less than 5 times the smaller number: y = 5x - 16

We can use substitution to solve for one of the variables. Using equation 2, we can solve for y in terms of x:

y = 5x - 16

Now we can substitute this expression for y into equation 1:

x + (5x - 16) = 146

Simplifying this equation, we get: 6x - 16 = 146

Adding 16 to both sides, we get: 6x = 162

Dividing both sides by 6, we get: x = 27

Now we can use equation 2 to solve for y:

y = 5x - 16 = 5(27) - 16 = 119

Therefore, the two numbers are 27 and 119.

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Answer: $4.28 per quart

Step-by-step explanation:

So there is 4 quarts in one gallon. Since there is 2 gallons that means there is 8 quarts total. now you want to take $34.24 and divide it by 8 and you will get $4.28

This function rule represents the original function f(x) = √x, shifted up 5 units, vertically stretched by a factor of 2, and shifted to the right 3 units.

The function rule for g(x) from f(x) = √x can be found by applying the given transformations to f(x). First, we shift up 5 units by adding 5 to the function. Then, we apply a vertical stretch by a factor of 2 by multiplying the function by 2. Finally, we shift to the right 3 units by replacing x with (x - 3) in the function. The resulting function rule for g(x) is:

g(x) = 2√(x - 3) + 5

This function rule represents the original function f(x) = √x, shifted up 5 units, vertically stretched by a factor of 2, and shifted to the right 3 units.

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The unknown side 'x' is found using pythagorean theorem as: x = 12.69.

The Pythagorean Theorem has a name for Pythagoras of Samos, a religious figure and mathematician who held the view that everything in the cosmos is made up of numbers.

Pythagorean Theorem is also known as:

a²+ b² = c²

Given sides are:

13, 3 and x.

Then,

3²+ x² = 13²

x² = 13² - 3²

x² = 169 - 9

x² = 160

x = √160

x = 12.69

Thus, the unknown side 'x' is found using pythagorean theorem as: x = 12.69.

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The techniques of shifting, compressing, stretching, and reflecting can be used to transform the function g(x)=-x^(3)+7.

The techniques of shifting, compressing, stretching, and reflecting are used to transform functions. These techniques allow us to move the graph of a function up, down, left, or right, to make it wider or narrower, and to flip it over the x-axis or y-axis.

The function g(x)=-x^(3)+7 can be transformed using these techniques. For example, we can shift the graph of g(x) up by 2 units by adding 2 to the function: g(x)=-x^(3)+7+2=-x^(3)+9. We can also stretch the graph of g(x) vertically by multiplying the function by a constant greater than 1: g(x)=2(-x^(3)+7)=-2x^(3)+14.

Similarly, we can compress the graph of g(x) vertically by multiplying the function by a constant between 0 and 1: g(x)=0.5(-x^(3)+7)=-0.5x^(3)+3.5. We can also reflect the graph of g(x) over the x-axis by multiplying the function by -1: g(x)=-(-x^(3)+7)=x^(3)-7.

These are just a few examples of how the techniques of shifting, compressing, stretching, and reflecting can be used to transform the function g(x)=-x^(3)+7.

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Answer:

5.5, 6, and 7.25

Step-by-step explanation:

3 numbers equal 18.75 tells us:

a + b + c = 18.75, where a, b, and c are the 3 unknown numbers respectively.

Next, we know that the range is 1.75. Let us consider that c is the greatest value and a is the smallest value. Thus, we can write

c - a = 1.75

Lastly, we know that there is a median of 6. This tells us that the "middle" number (which in this case would be b if c is greatest and a is smallest) should be 6.

b = 6.

Substituting we can write,

a + c + 6 = 18.75

a + c = 12.75

Also,

c - a = 1.75

c = a + 1.75

Substituting back into the other equation we get,

a + ( a + 1.75) = 12.75

2a + 1.75 = 12.75

2a = 11

a = 5.5

Now, we can find the last number.

c = (5.5) + 1.75

c = 7.25

Plug all 3 numbers back into the original equation to verify if our numbers are correct:

5.5 + 6 + 7.25 = 18.75

Thus, we know we are correct.

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The investment οf $1,000 will be wοrth $1,225.04 after 3 years.

Cοmpοund interest is interest οn the principal amοunt οr lοan which is calculated accοrding tο the number οf cοmpοunds in οne year.

In this, the interest earned in each periοd is based οn the tοtal amοunt, which includes bοth the principal and the accumulated interest.

The fοrmula used fοr cοmpοund interest is

Here we have

The principal amοunt is $ 1000

The annual interest rate here is 7.5%  

The interest is cοmpounded annually.

The time periοd is 3 years  

Using the fοrmula,

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

A = 1,000 (1 + 0.075/1)⁽¹⁽³⁾⁾

= 1,000 (1.075)³

= $1,225.04  

Therefοre,

The investment of $1,000 will be wοrth $1,225.04 after 3 years.

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shirt by sza and fav singer ariana grande!

thanks so much!

Answer:

Love The Way You Lie - Eminem

In response to the supplied query, we may state that Ben's speed, equation rounded to one decimal place, is x + 0.8 = 2.5 mph.

Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.

Rate times distance

Let x represent Alan's speed in mph. Ben's speed will then be x + 0.8 mph.

They will have travelled 12.6 kilometres in total when they finally cross paths. The formula is as follows:

[tex]12.6 = (x + x + 0.8) × 3\\12.6 = 6x + 2.4 \s10.2 = 6x \sx = 1.7[/tex]

Alan is moving at a speed of 1.7 mph, decimal place included.

Ben's speed, rounded to one decimal place, is x + 0.8 = 2.5 mph.

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Answer:

​Alan's rate of speed is 1.7 mph.

​Ben's rate of speed is 2.5 mph.

Step-by-step explanation:

We can use the distance-rate-time formula to solve the given problem.

[tex]\boxed{\sf Distance=rate \times time}[/tex]

Create a distance equation for each of the hikers.

Therefore, the equation for Alan's distance in terms of r is:

[tex]\implies \sf d = 3r[/tex]

Therefore, the equation for Ben's distance in terms of r is:

[tex]\implies \sf d = 3(r+0.8)[/tex]

Alan and Ben are 12.6 miles apart and walking toward each other.  

Therefore, their combined distances will equal 12.6 miles.

Set the sum of the found expressions for distance equal to 12.6 and solve for r:

[tex]\implies \sf d_{Alan}+d_{Ben}=12.6[/tex]

[tex]\implies \sf 3r+3(r+0.8)=12.6[/tex]

[tex]\implies \sf 3r+3r+2.4=12.6[/tex]

[tex]\implies \sf 6r+2.4=12.6[/tex]

[tex]\implies \sf 6r=10.2[/tex]

[tex]\implies \sf r=1.7[/tex]

Therefore:

​Alan's rate of speed is 1.7 mph.

​Ben's rate of speed is 2.5 mph.

Answer:

315

Step-by-step explanation:

The LCM for 45 and 7 is 315

One way to find the LCM of 7 and 45 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

What are the Factors of 7?What are the Factors of 45?

Here is the prime factorization of 7:

7171

And this is the prime factorization of 45:

32×5132×51

When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 7, 3, 5

Answer:4/3

Step-by-step explanation:

Therefore, the height (in feet) of the lighthouse is 88 feet.

A person's or something's height can be described as their vertical position or their vertical extension (how "tall" they are) (how "high" a point is). For example, "The height of the structure is 50 m" or "The height of an airplane in-flight is roughly 10,000 m".

Let's use proportions to solve the problem. We can set up a ratio of the height of the lighthouse to the length of its shadow, and another ratio of the height of the lamppost to the length of its shadow, and then equate the two ratios:

height of lighthouse / length of shadow of lighthouse = height of lamppost / length of shadow of lamppost

Let's plug in the given values:

h / 144 = 5.5 / 9

To solve for the height of the lighthouse, we can cross-multiply and simplify:

9h = 144 × 5.5

9h = 792

h = 88

Therefore, the height of the lighthouse is 88 feet.

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The base and height of the parallelogram is B = 16 cm and H = 48 cm

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , area of parallelogram A = bh

And , base of a parallelogram is one third its height

So , B = ( 1/3 )H

And , area of parallelogram is A = 768 cm²

On simplifying , we get

768 = ( 1/3 )H²

Multiply by 3 on both sides , we get

H² = 2304

Taking square roots on both sides , we get

H = 48 cm

So , the height of the parallelogram is 48 cm

And , the base of the parallelogram is 16 cm

Hence , the base and height of the parallelogram are 16 cm and 48 cm respectively

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