I need help in this please

Answer:

a no

b. no

c.no

d. yes

Step-by-step explanation:

The value of x in the diagram is 12.5

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.

The ratio of the corresponding sides of similar shapes are equal.

Therefore;

3x/60 = 5x/8x

3x/60 = 5/8

300 = 24x

divide both sides by 24

x = 300/24

x = 12.5

therefore the value of x is 12.5

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Answer:

it will cost $520.00 to install the gravel path.

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular garden. The Pythagorean theorem states that the square of the length of the hypotenuse (in this case, the diagonal) of a right triangle is equal to the sum of the squares of the lengths of the other two sides. Therefore, we have:

diagonal^2 = 24^2 + 32^2

diagonal^2 = 576 + 1024

diagonal^2 = 1600

Taking the square root of both sides, we get:

diagonal = sqrt(1600)

diagonal = 40 feet

Now, we need to calculate the area of the path that Jorge will install. Since the path is 2 feet wide, the width of the garden is reduced by 4 feet (2 feet on each side). Therefore, the length and width of the garden after the path is installed will be:

length = 24 - 4 = 20 feet

width = 32 - 4 = 28 feet

The area of the path is the difference between the area of the garden before and after the path is installed:

area of path = (24 * 32) - (20 * 28)

area of path = 768 - 560

area of path = 208 square feet

Finally, we can calculate the cost of the gravel path by multiplying the area of the path by the cost per square foot:

cost of path = 208 * 2.50

cost of path = $520.00

Therefore, it will cost $520.00 to install the gravel path.

[tex](2x-1)^{2} = 25 \iff (2x-1)^{2} = 5^{2}\\[/tex]

[tex]x > 0 \implies 2x - 1 = 5 \iff 2x = 5 + 1 \iff 2x = 6 \implies \bf x = 3\\[/tex]

[tex](3y-1)^{2} = 36 \iff (3y-1)^{2} = 6^{2}\\[/tex]

[tex]y > 0 \implies 3y-1 = 6 \iff 3y = 6 + 1 \iff 3y = 7 \implies \bf y = \dfrac{7}{3}\\[/tex]

⇒

[tex]\dfrac{3x - y}{x+y} \cdot \dfrac{1}{7} = \dfrac{3(3) - \frac{7}{3} }{7(3+\frac{7}{3} )} = \dfrac{9 - \frac{7}{3} }{7(\frac{16}{3})} = \dfrac{\frac{27-7}{3} }{7(\frac{16}{3})}=\\[/tex]

[tex]= \dfrac{\frac{20}{3} }{\frac{112}{3}} = \dfrac{20}{3} : \dfrac{112}{3} = \dfrac{20}{3} \cdot \dfrac{3}{112} = \dfrac{20}{112} = \bf \dfrac{5}{28}\\[/tex]

Answer: N′(−7, −2), M′(−4, −1), O′(−7, −5)

Step-by-step explanation:

im right and youre wromng

Answer:

[tex]( \frac{1}{2} + a) {}^{2} [/tex]

Step-by-step explanation:

There's your answer

In linear equation, $28.75   is the unit price .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

The cost of 3 scarves is $86.25

   then,

     the unit price is  =    $86.25/3   = $28.75

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Answer:

E

Step-by-step explanation:

Acellus

The role of GCF, its placement and verification has been explained below. The solution has been obtained by using the concept of Greatest Common Factor.

The greatest common factor, or largest number, is the product of two or more numbers (GCF). The greatest number (factor) that separates them yields a natural number.

1. The GCF is a factor that all terms in a polynomial share.

For instance, if the polynomial has the form R * S + R * T, the GCF is R because both terms share the factor R.

2. The GCF is positioned in front of the remaining polynomials, outside of the parenthesis, once we have factored out the GCF.

R * S + R * T, given the prior example, is R (S + T).

3. By allocating the GCF to the polynomial enclosed in parenthesis, we can verify that our factoring is accurate.

Hence, the above stated is the role of GCF in factoring a polynomial.

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Step-by-step explanation:

Please when you come across any questions including two equations of two variables, please solve that question by using the simultaneous method.

To go about that, since you would be given two equations, name one equation as "equation one" (eq 1) and the other, "equation two" (eq 2).

Right after that, make any of the variables a subject ( make it stand alone or be on one side of the equal to sign). Now, substitute that variable you've made the subject into the other equation which you didn't make any variable the subject. Solve for that, by grouping all like terms and you would realize that the final result would be the answer of one of the variables.

After getting that value, substitute that value in place of its variable. (For instance, x = 1, substitute the value which is 1 in place of x in the equation you made a variable the subject at the beginning). Solve for that equation too, and finally you would arrive at an answer or a value.

To verify that your answers are right, substitute the values in their respective variables. ( For instance, if x = 1 and y = 2, put 1 in place of x and 2 in place of y in the first equation then do same for the second equation as well). The answer would be the same as the number it has been equated to.

Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.

What are fractions?

Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A single object or a collection of objects might be whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves. The number of parts into which the whole has been divided is shown by the denominator. How many sections of the fraction are displayed or chosen is shown in the numerator.

Given,

Number of metres run Julia runs each week = 400

Time taken to run 400m dash in the beginning = 59 7/10 seconds

                                                                                = 597/10 seconds

Since the time is given in fractions, we have to do fraction subtraction for the following weeks.

Time taken in week 1 = 597/10 - 0.6 seconds = 597/10 - 6/10 = 591/10 seconds

Time taken in week 2 = 591/10 - 1/4 = 2364 - 10 / 40 = 2354/40 seconds

Time taken in week 3 = 2354/40 + 0.1 = 2354/40 + 1/10 = 2358/40

Time taken in week 4 = 2358/40 - 17/20 = 2358-34 / 40 = 2324/40

                                                                             = 581/10= 58 1/10 seconds.

Therefore Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.

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Answer:

a = 16.5

b = 8.8

Step-by-step explanation:

The permutation is a bijective function because it is both a one-one and an onto function.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. Here, the components of sets are arranged in a linear or sequential order.

The bijective function is both a one-one function and an onto function.

One-one function means that for every value of the domain, there is only one value of the range. This means that an output value never repeats.

An element x is mapped to each element y by the function f known as the onto function. In other words, there is an x for every y such that:        

                                    f(x) = y

Now we have to prove why permutation is defined as bijective.

The permutation is basically an arrangement of elements.

So for the new arrangement, at one position there is only one element.

So it is one-one.

Also, we are using the given number of elements. we are just changing its positions. So every element in the co-domain is mapped to at least one element in the domain. Also, the co-domain is the range.

So it is onto function.

Therefore the permutation is a bijective function because it is both one-one and onto function.

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The equation that represents the relationship is y = 1/3x

The missing graph in the complete question is added as an attachment

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

(x, y) = (0, 0) and (3, 1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx

Using the points, we have

1 = 3m

Divide

m = 1/3

Substitute 1/3 for m in y = mx

y = 1/3x

Hence, the function of the relation is y = 1/3x

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The decimal number 4.3333333... is a rational and real number. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The decimal number is given below.

⇒ 4.333....

Let x = 4.333333333.., then 10x = 43.33333333...

10x - x = 43.33333.. - 4.333333...

9x = 39

x = 39/9

x = 13/3

The decimal number 4.3333333... is a rational and real number. Then the correct option is A.

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Answer:

Step-by-step explanation:

he's correct trust him The decimal number 4.3333333 is a rational and real number. Then the correct option is A.

Answer:

True

Step-by-step explanation:

Given a function:
[tex]\displaystyle{f(x)=\sin 3x + x}[/tex]

Verify that f(-x) = -f(x) by substitution -- therefore:

[tex]\displaystyle{f(-x) = -f(x)}\\\\\displaystyle{\sin 3\left(-x\right)+\left(-x\right) = -\left(\sin 3x + x\right)}\\\\\displaystyle{\sin \left(-3x\right) - x = -\sin 3x - x}\\\\\displaystyle{-\sin 3x - x = -\sin 3x - x}[/tex]

Both sides are equal, hence f(-x) = -f(x).

The area of the triangle is 3 cm^2.

Area is the measure of the amount of space inside a two-dimensional shape, such as a square, rectangle, triangle, or circle. It is usually measured in square units, such as square centimeters, square inches, or square meters.

Two-dimensional shapes are flat shapes that exist in only two dimensions - length and width. They are also known as 2D shapes. Some common examples of two-dimensional shapes include:

In the given question,

To find the area of a triangle, we need the length of two sides and the angle between them. We are given that the length of two sides of the triangle are 3 cm and 4 cm, and the angle between them is 30°.

We can use the formula for the area of a triangle, which is:

Area = (1/2) x base x height

We can take the side of length 3 cm as the base of the triangle, and the side of length 4 cm as the height, as it forms a right angle with the base. To find the height, we can use trigonometry.

sin(30°) = opposite/hypotenuse

sin(30°) = height/4

height = 4 x sin(30°)

height = 2 cm

Now, we can substitute the values in the formula for the area of the triangle:

Area = (1/2) x base x height

Area = (1/2) x 3 x 2

Area = 3 cm^2

Therefore, the area of the triangle is 3 cm^2.

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Therefore , the solution of the given problem of percentage comes out to be 11.31% of the vehicles in use are between 21 and 32 months old.

In statistics, a percentage is a figure or a figure that is expressed as a fraction of 100. Furthermore, "pct.," "pct," as well as "pc," are rarely used. However, it is commonly denoted by the "%" sign. There are no dimensions; the percentage total is flat. Percentages are essentially numbers because their numerator is 100. To indicate that a number is a percentage, the percent sign (%) or the phrase "percent" must appear before the number.

Here,

This rule states that for a normal distribution, which is presumed here because of the bell-shaped curve:

The data is within yet another standard deviation of the median for 68% of the time.

The data is within 2 standard deviations of the median for 95% of the time.

The data is now within three standard deviations of the mean in 99.7% of the cases.

As a result, z1 = (21 - 54) / 11 = 3 and z2 = (32 - 54) / 11 = 2

The numbers -3 and -2 represent the number of standard deviations that each figure is from the mean.

determine what percentage of the data lies in between two values:

P(-3 ≤ Z ≤ -2) = 0.1359 - 0.0228 = 0.1131

According to this, 11.31% of the vehicles in use are between 21 and 32 months old.

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Answer:(4 + 3) x 2

Step-by-step explanation:

Vesi snowboards 4 hours before lunch and 3 hours after lunch each day, so the total time she spends snowboarding each day is:

4 + 3 = 7 hours

The question is asking how many hours Vesi snowboarded in 2 days, so we need to multiply the daily total by 2:

7 x 2 = 14

Therefore, the expression that represents this real-world situation is:

B. (4 + 3) x 2 = 14.

Option A adds 2 hours which is not correct as Vesi snowboards 7 hours each day, not 2 hours. Option C multiplies and divides, which is not necessary in this case. Option D multiplies and subtracts, which is also not correct.

The total number of cards sold for Mother's Day is 290 cards.

What is the proportions?

Proportion is a mathematical concept that expresses the equality of two ratios. Two ratios are said to be proportional if they have the same relative size or relationship.

Let x be the total number of cards sold for Mother's Day. We know that one salesman sold 29 cards, which is 10% of the total number of cards sold. Using this information, we can set up the following proportion:

(10/100) * x = 29

Simplifying, we get:

x = 290

Hence, the total number of cards sold for Mother's Day is 290 cards.

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The approximate diameter of the tin would be 12.9 centimeters.

Diameter is a straight line passing through the center of a circle, or any other curved shape, and connecting two points on the circumference. It is the longest line that can be drawn within a circle and its length is twice the radius. It is also used in measuring the size of objects and distances in the universe. The term is also used in geometry to refer to the size or width of a triangle, square, or other shapes.

To measure the diameter of a tin which is 750 gram, one needs to use a ruler or measuring tape. First, one needs to weigh the tin using a scale or balance. Once the weight is known, it can be used to calculate the approximate diameter of the tin.

To find the diameter, one needs to use the formula: Diameter = 2 x (cube root of volume). The volume of the tin can be calculated by multiplying the weight of the tin (in grams) by 0.52.

Therefore, for a tin weighing 750 grams, the approximate volume would be 390 cubic centimeters. To find the diameter, one needs to take the cube root of 390, which is 6.47.

Therefore, the approximate diameter of the tin would be 12.9 centimeters.

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Answer:

10 weeks

Step-by-step explanation:

40 books= ? weeks

4 books.  = 1 week

so do 40/4 and get 10

Answer:

10 weeks

Step-by-step explanation:

The probability of both independent events A and B happening together is P(A n B) = 0.1.

What is meant by probability?

An event's probability is a numerical representation of how likely it is that the event will take place. In mathematical notation, it is written as a number between 0 and 1, or as a percentage between 0% and 100%. The higher an event's probability, the more likely it is to occur. In a sample space, there is a probability of 1 for each event. The probability formula states that the ratio between the number of favourable outcomes and the total number of outcomes determines the likelihood that an event will occur. Sets are used in the terminology of probability theory. A set is a grouping of various things.

Given,

Probability of A, P(A) = 0.2

Probability of B, P(B) = 0.4

P(A U B) = 0.5

We are asked to find  P(A n B)

Now we know,

P(A U B) = P(A) + P(B) -  P(A n B)

Then,

P(A n B) = P(A) + P(B) - P(A U B)  = 0.2 + 0.4 - 0.5 = 0.1

Therefore the probability of both independent events A and B happening together is P(A n B) = 0.1.

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The answer to the probabilities are: (a) 0.8,  (b)  0.2  (c)  0.3  (d)  0.7

Probability is a branch of mathematics used to measure how likely something is to happen. It is calculated by taking into account the chance that a given event will occur, as well as taking into account an exhaustive set of equally likely outcomes

The percentage of married women is 80%

the number of women is 10

The probability that all of them dislike their mother in-laws is

P(x) = Number of required outcome/Number of possible outcomes

80/100 * 10  = 8 women

a)  P(All of them dislike their mother in-law is 8/10 = 0.8

b)  P(none of them dislike their mother-in-law is

P(x) = 1 0.8 = 0.2

c)  P(At least eight of them dislike their mother-in-law)

P(x) = 8, 9, 10 = 3

Therefore,  the probability is 3/10 = 0.3

d) P(no more than seven dislike their mother in-law

1,2,3,4,5,6,7 = 7

P(x) = 7/10 = .0.7

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Sarah fell behind 3 meters each lap.

What is Total distance?

Whole distance refers to the actual travel distance between the origin and destination locations of the item.

If Sarah was 15 meters behind Anna when Anna finished the race, and they both ran the same distance, we can divide the total distance by the number of laps they ran to find the distance they ran per lap:

Total distance = 5 laps

Distance per lap = total distance / number of laps = 5 laps / 1 = 5

So Sarah and Anna each ran 5 meters per lap. If Sarah fell behind the same number of meters during each lap, we can use a negative integer to describe the distance she fell behind each lap. The distance she fell behind each lap is:

-3 meters (since 3 meters + 3 meters + 3 meters + 3 meters + 3 meters = 15 meters, which is the distance by which she was behind when Anna finished the race).

Therefore, Sarah fell behind 3 meters each lap.

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Answer: 10.5 - 5.4n

Step-by-step explanation:

   To simplify, we will combine like terms.

Given:

   2.5 - 3.4n - 2n + 8

Add 2.5 + 8 and subtract -3.4n - 2n:

   10.5 - 5.4n

Answer:

[tex]-5.4n + 10.5[/tex]

Step-by-step explanation:

[tex]2.5 + 3.4n -2n + 8\\(-3.4n - 2n) + (2.5 + 8)\\-5.4n + 10.5[/tex]

Answer:

3.5?

Step-by-step explanation:

sorry that's all i can do..

Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10

Step-by-step explanation:

First, we divide 0.0001 by 28, which equals 3.5714286e-6.

And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.

The value of x in the equation below 18 = x - 10 is equal to 28.

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression:

18 = x - 10

By rearranging and collecting like-terms, we have the following:

x = 18 + 10

x = 28.

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Complete Question:

Find the value of x in the equation below. 18 = x - 10

The volume of the sphere is,

⇒ The volume of sphere = 14,130 cm³

The multiplication means to add a number to itself with a particular number of times. And, Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of sphere = 15 cm

Now, We know that;

⇒ The volume of sphere = 4/3πr³

Substitute value of Radius = 15 cm

⇒ The volume of sphere = 4/3 × 3.14 × 15³

⇒ The volume of sphere = 14,130 cm³

Thus, The volume of the sphere is,

⇒ The volume of sphere = 14,130 cm³

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