Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answer:

the billing for water consumption between April and May is 275 pesos.

Step-by-step explanation:

To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.

The difference between the readings in April and May is:

430.4 kl - 417.8 kl = 12.6 kl

To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.

The cost of the water usage is:

12.6 kl x 20 pesos/kl = 252 pesos

Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:

252 pesos + 23 pesos = 275 pesos

Therefore, the billing for water consumption between April and May is 275 pesos.

Answer: Without a visual representation of the triangles, it's difficult to determine whether the statements are true or false.

However, in general, the side lengths of a triangle determine its shape and size. If two triangles have the same side lengths, then they are congruent, meaning they have the same shape and size. Therefore, if the triangles in question have different side lengths for x = 16, x = 27, and x = 31, then it's possible that the statements are either true or false, depending on the specific side lengths.

Without additional information, it's not possible to determine whether the statements are true or false.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

$30-$24 =$6

$6×100

________ =25 percent

24

Answer:

3 lol

Step-by-step explanation:

The function describes this graph is y = x² + 9x + 18.

In mathematics, a graph is defined as a graphical representation or diagram that organises facts or values. The graph's points frequently reflect the relationship between two or more things.

Given:

We can see from the Graph touches the x axis at -6 and -3.

So, the factors of function are (x +6) and (x+ 3).

Then, the function represented by the graph is

y = (x+ 6) (x + 3)

y = x² + 6x + 3x + 18

y = x² + 9x + 18

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The missing angles inscribed in the circle are

The angles are calculated using the inscribed angle theorem

Inscribed Angle Theorem: The measure of an inscribed angle is half the measure of the intercepted arc.

This is used as follows

∠ C = 52/2 degrees

∠ C = 26 degrees

∠ C = ∠ B = 26 degrees inscribed angle subtended by same arc are equal

∠ BSD + ∠ D + B = 180 degrees sum of angles in a triangle

∠ BSD + 57 + 26 = 180

∠ BSD = 180 - 57 - 26

∠ BSD = 97 degrees

∠ CSE = ∠ BSD vertical angles

∠ CSE = 97 degrees

∠ E = ∠ B = 57 degrees inscribed angle subtended by same arc are equal

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Answer:

Step-by-step explanation:

To start, let's use algebra to set up some equations based on the information we have. We know that Trip has a total of 15 coins and their total value is 95 cents. Let's call the number of nickels Trip has "n" and the number of dimes "d". Then we can write:

n + d = 15 (since Trip has a total of 15 coins)

0.05n + 0.1d = 0.95 (since the total value of the coins is 95 cents)

Next, we know that four of the coins are each worth twice as much as the rest. Let's call the value of the "rest" coins "x". Then the value of the four coins that are worth twice as much is 2x. We can set up an equation based on the total value of the coins using these values:

4(2x) + 11x = 95

Simplifying this equation, we get:

19x = 95

x = 5

Now we know that each of the "rest" coins is worth 5 cents. We can substitute this value into the equation for the total value of the coins to get:

4(2*5) + 11(5) = 95

Simplifying this equation, we get:

40 + 55 = 95

So our values for n and d are correct: Trip has 11 nickels and 4 dimes.

To justify this argument, we can use a proof by contradiction. Suppose that Trip had a different number of nickels or dimes. If Trip had more than 11 nickels, then the total value of the nickels alone would be greater than 55 cents, which is impossible since the total value of all the coins is only 95 cents. Similarly, if Trip had more than 4 dimes, then the total value of the dimes alone would be greater than 40 cents, which is also impossible. Therefore, Trip must have exactly 11 nickels and 4 dimes, and our argument is justified.

Answer:7

Step-by-step explanation:

The area of glass used to make the window is 3200 sq. cm.

A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;

area of a kite = (length of diagonal 1 * length of diagonal 2) / 2

Therefore to determine the square meter of glass used to make the window in the given question, we have;

length of diagonal 1 = 40 + 40

                                 = 80 cm

length of diagonal 2 = 35 + 45

                                  = 80 cm

area of the window = (80*80)/2

                                 = 6400/2

area of the window = 3200 sq. cm.

Therefore, 3200 sq. m. of glass was used to make the window.

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The surface area of all faces of the cube is found as in  150,100 mm².

A solid shape having six square faces is called a cube. Because every square face has an identical side length, each face is the same size.

Area of the cube:

Area = 6*side²

Area = 6*(5)²

Area = 150 cm²

We know:

1 cm = 10 mm

Then,

Area = 150 x 100 mm²

Area = 150,100 mm²

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The complete question is-

The cube has the side length of 5 cm. How to determine the area of all faces in mm2

The doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.

What is the density?

Density is a physical property of matter that measures the amount of mass per unit volume. It is calculated by dividing the mass of an object or substance by its volume. The resulting number represents the amount of matter, or mass, that is present in a given volume.

The formula for density is:

Density = Mass / Volume

First, we need to convert the weight of the patient from kilograms to pounds, as the recommended dosage is in mg/lb:

72.7 kg x 2.205 lbs/kg = 160.305 lbs

The recommended dosage is 5 mg/lb, so for a 160.305 lbs patient, the total dosage per dose would be:

160.305 lbs x 5 mg/lb = 801.525 mg

Now we need to convert this dosage from mg to mL, using the concentration of the solution, which is 0.9 g/mL:

1 g = 1000 mg, so 0.9 g = 0.9 x 1000 = 900 mg

To convert mg to mL, we can use the density formula:

Density = Mass / Volume

Rearranging the formula to solve for volume, we get:

Volume = Mass / Density

So, the volume of solution needed for each dose would be:

Volume = 801.525 mg / 900 mg/mL

Volume = 0.8906 mL

Hence, the doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.

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Answer: x = 60 degrees

Step-by-step explanation:

As we see, there is a 90 degree angle formed the top left corner. You divided it by 2 and it is formed by both triangles and u get 45 degrees.

Now, according to angle sum property:

angle A + Angle B + Angle C = 180 degrees

therefore, 75 + 45 + angle c = 180

and by linear equation , angle c = 180 - [75 + 45]

                                                       =  180 -120

                                                       = 60

therefore, x = 60

Answer:

60 degrees

Step-by-step explanation:

A right triangle is 180 degrees. 60+75+a= 180degrees. It shows a right angle, with a line right at the middle. half of 90 is 45, so put that in the equation and you get 60+75+45=180 degrees. to solve for ? you want to take 45 + 75 + ? = 180 degrees 45 plus 74 is 135 so take 180-135 is 60. the ? will be 60 degrees.

I hope this helps : )

The total cost of painting his basement floor is $51.70.

To find the total cost of the paint including HST, we first need to calculate the total area of the basement floor that needs to be painted. We can do this by multiplying the length by the width:

Area of basement floor = length x width

Area of basement floor = 2.5 m x 2.3 m + 1.8 m x 2.3 m

Area of basement floor = 5.75 m² + 4.14 m²

Area of basement floor = 9.89 m²

Now, we can calculate the number of cans of paint needed:

Number of cans = Area of basement floor / Area covered by each can

Number of cans = 9.89 m² / 3.5 m²

Number of cans = 2.8257

Number of cans = 3

The total cost of the paint without HST would be:

Total cost = Number of cans x Cost per can

Total cost = 3 x $15.25

Total cost = $45.75

To calculate the HST, we need to multiply the total cost by the HST rate (13% or 0.13):

HST = Total cost x HST rate

HST = $45.75 x 0.13

HST = $5.95 (rounded to two decimal places)

Finally, we can find the total cost including HST by adding the total cost and the HST:

Total cost including HST = Total cost + HST

Total cost including HST = $45.75 + $5.95

Total cost including HST = $51.70

Therefore, the total cost of the paint including 13% HST is $51.70.

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Answer:

A. 45/53

Step-by-step explanation:

.............

Answer:

A. 45/53

Step-by-step explanation:

sin ø is A.

have a nice day

The expression that describe the area of the shaded part is 1/3 × 1/2 (optionD)

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

therefore the area of the shaded part is l× w

On the vertical row 3 boxes are shaded out of 6

and on the horizontal 3 are shaded out of 9 boxes

A = 3/6 × 3/9

A = 1/2 × 1/3

therefore the area of the shaded part = 1/3 × 1/2

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The minimum number of streetlights that can be installed along the street is 1641 + 1182 = 2823.

In Euclidean geometry, the distance between two points is defined as the length of the shortest path between them. This is often referred to as the "straight-line distance" or "Euclidean distance." It is calculated using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The total distance between A and C is the sum of the distances AB and BC:

AC = AB + BC = 1625 + 1170 = 2795 m

Since we need to install streetlights at points A, B, and C, there will be two segments of the street with streetlights:

From A to B, which has a distance of 1625 m

From B to C, which has a distance of 1170 m

We want to install streetlights along each segment with equal distance between the lights. Let's call the distance between each pair of adjacent streetlights "d".

For the first segment, there will be "n" streetlights, so the total distance covered by the streetlights will be (n-1)d. Similarly, for the second segment, there will be "m" streetlights, and the total distance covered by the streetlights will be (m-1)d.

The total distance covered by the streetlights should be equal to the distance AC, so we have:

(n-1)d + (m-1)d = AC

Substituting the values we know, we get:

1624d + 1169d = 2795

2793d = 2795

d = 2795/2793

d ≈ 0.999

We can round down to 0.99 to ensure that we don't have more streetlights than necessary.

Therefore, the distance between each pair of adjacent streetlights should be 0.99 m. To find the minimum number of streetlights required, we can divide the distance of each segment by 0.99 and round up to the nearest integer:

For the first segment: ceil(1625/0.99) = 1641

For the second segment: ceil(1170/0.99) = 1182

So the minimum number of streetlights that can be installed along the street is 1641 + 1182 = 2823.

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11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

The central limit theorem is a principle in probability theory that states that the distribution of sample means will eventually approximate a normal distribution as the sample size becomes larger.

11) The type of study being conducted by Ron is a completely randomized design, where he randomly assigns the two types of golf balls (new and current) to two separate groups and then compares the mean driving distances between the two groups.

The appropriate t-interval for inference is (A) a t-interval for a difference between means for independent samples.

12) To test the hypothesis of whether there is a significant difference in mean driving distance between the new golf balls and the old golf balls, we need to calculate the appropriate t-statistic.

The formula for the t-statistic for a difference between means for independent samples is:

[tex]t = (x_1 - x_2) / [s1^2/n1 + s_2^2/n_2]^{0.5}[/tex]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two groups.

Using the given data, we have:

x1 = 203.5 yards, x2 = 197.4 yards

s1 = 5.6 yards, s2 = 10.3 yards

n1 = n2 = 30

Substituting these values into the formula, we get:

[tex]t = (203.5 - 197.4) / [(5.6)^2/30 + 10.3^2/30]^{0.5} = 1.98[/tex]

Therefore, the appropriate t-statistic is (C) 1.98.

13) The correct statement about the study being conducted by Ron is (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal.

Hence, The answers to the question:
11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

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Answer: c

Step-by-step explanation:

Based on the information, we can infer that the expression that tells us how many slices the entire pizza had is x = 4 * 3 (option D).

To find the correct expression we must take into account the information that the statement gives us:

Based on the above, if Ben ate 1/3 of the pizza, we must multiply 4 * 3 to find the total number of slices on the pizza.

So the pizza had 12 slices. To check this result we can divide it by 3 to find out if 1/3 of 12 is equal to 4.

Note: This question is incomplete. Here is the complete information:

4. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 1/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?

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The explicit formula of the function s(n) is s(n) = 2n

The domain and the range of h(n)

Given that

h(n) is the number of houses

The possible values of n and h(n) are whole numbers

So, we have

The values of h(5) and h(11)

Based on the patterns in the sequence, we have

h(n) = n

So, we have

h(5) = 5

h(11) = 11

The explicit function of h(n)

In (b), we have

h(n) = n

The values of s(4) and s(7)

Given that

s(n) is the number of segments

Based on the patterns in the sequence, we have

s(n) = 2n

So, we have

s(4) = 8

s(7) = 14

The growth pattern of s(n)

Above, we have

s(n) = 2n

The above equation is a proportional equation

This means that

The growth pattern of s(n) is linear, with a constant rate of change

The explicit function of s(n)

Above, we have

s(n) = 2n

Hence, the explicit of s(n) is s(n) = 2n

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Answer: Read One Piece and Check Explanation.

Step-by-step explanation: Yes, Mr Thapelo's claim is valid.

Let's assume that the salary of the messenger is $1,000.

Therefore, the salary of the five additional cleaners should be 10 x $1,000 = $10,000.

Answer:

The answer should be D.)

Answer:68

Step-by-step explanation:

You can first subtract 104-36=68 so,68+36=104

Answer:

  68

Step-by-step explanation:

You want to know the number of marbles Chloe originally had in her collection if adding 36 marbles gave her a total of 104.

You can let a variable (o) represent the original number of marbles. You would choose this because the original number of marbles is what you're asked to find. It never hurts to use a variable name that reminds you of what it stands for.

The problem statement tells you that adding 36 to the original number gives a total of 104. As an equation, this looks like ...

  o + 36 = 104 . . . . . . adding 36 to o gives 104

The properties of equality tell you that you can subtract the same number from both sides of the equation without changing the value of the variable.

Here, we want the variable by itself, so we want to get rid of the added number 36. We do that by subtracting 36 from both sides of the equation:

  o +36 -36 = 104 -36 . . . . . subtract 36 from both sides

  o = 68 . . . . . . . . . . simplify

This solution tells us that Chloe originally had 68 marbles.

__

Additional comment

The way to solve this, or any, "word problem" is to read and understand the relationships the words are telling you, and what the words are asking for. Then write those relationships as math expressions, choosing variables and a procedure that will give you what the question is asking for.

Here, we could choose a variable that represents the quantity we want to find. That is not always the case.

Sometimes, you have to find an "intermediate" value that you need in order to be able to answer the ultimate question. You're not done when you find that intermediate value; you're only done when you are able to answer the question asked.

The following function won't produce the intended composite function:

f(x) = 8/x + 4

g(x) = 1/x²

A method or connection known as a function connects each element of a non-empty set A to at least one element of a second non-empty set B. A function in mathematics is a relation f between a set A (the function's domain) and a different set B (the function's co-domain).

In the given question,

When f(x) = 8/x + 4 and g(x) = 1/x²

Then (f o g(x)) = 8/1/x² + 4

= 8x² + 4

As a result, the following function would not produce the intended composite function:

f(x) = 8/x + 4

g(x) = 1/x²

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The 95% prediction interval for the height is given by the inequality 177 cm < y < 200 cm.

The interpretation is that we are 95% sure that the height of a person with a foot length of 29 cm is greater than 177 cm and less than 200 cm.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

In this problem, the bounds of the interval are given as follows:

We have a compound inequality, hence both conditions have to be respected simultaneously.

There is not enough information to obtain the interval, hence we just interpret the given interval.

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la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

The equation deduced by Malik is the correct equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, the Boy Scout troop raised money in a fundraiser. they donated $400 to the food bank and half of the remaining amount to the animal shelter, they both represented the amount donated for the animal shelter :-

Malik: y = (x-400) / 2

Jacob: y = x/2 - 400

So, if we consider y as the money donated for the animal shelter and x is the total-raised money,

Therefore, according to the question,

$400 donated to food bank, then the left amount = x-400

Half of the money donated to the animal shelter based = (x-400) / 2

Therefore, the equation will be:-

y = (x-400) / 2

Hence, the equation deduced by Malik is the correct equation.

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Answer:

You need a rizz god????

Step-by-step explanation:

The requried, Liam is 24 blocks away from his house.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
A graph is shown, Liam left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Liam is x minutes after he left his house until he got back home.

In order to calculate Liam's distance after x = 15 minutes. Draw a perpendicular at x = 15 that intersects the curve. Since the line intersects the curve at y = 24. This implies that Liam is 24 blocks away from his house.

Thus, the requried Liam is 24 blocks away form his house.

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The correct statement regarding the histogram is given as follows:

The data is bimodal, with a maximum range of 24. This means that the tide was frequently between 6 to 10 or 16 and 20 feet.

An histogram is a graph that shows the number of times each element of x was observed.

Hence the number of observations of each interval is:

Here are two similarly high bins, hence the distribution can be said to be bimodal, with maximum range given as follows:

25 - 5 = 21 - 1 = 20.

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Answer: its d

Step-by-step explanation: