one of the 4 choices

Answer:

Below

Step-by-step explanation:

All of the  angles are the same (their opposite sides are =)....it is an equilateral triangle

 all of the angles sum to 180°

  each angle is then 60°

    5y+10 = 60

       5y = 50

          y = 10 °

Answer:

[tex] = \frac{11}{10} \\ \\ [/tex]

this is the correct answer for first question

If the line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x + a, it means that the line and the graph of the function are just touching at a single point, and are not intersecting at any other points.

To find the value of a, we can start by setting the equation for the line and the equation for the function equal to each other:

y = -x + 4

f(x) = x^2 - 5x + a

Then, we can substitute the equation for the function into the equation for the line:

-x + 4 = x^2 - 5x + a

We can then solve this equation for a by moving all the terms to one side:

-x + 4 - x^2 + 5x = a

-x^2 + 6x - 4 = a

We can see that the left-hand side of this equation is a quadratic expression in x, and we know that a quadratic function is tangent to a line when the line is a horizontal tangent. This occurs when the derivative of the function is equal to the slope of the line.

The derivative of f(x) = x^2 - 5x + a is 2x - 5, so we can set this equal to the slope of the line, which is -1:

2x - 5 = -1

2x = -6

x = -3

Now that we know the value of x, we can substitute it back into the equation for the function to find the value of a:

f(-3) = (-3)^2 - 5(-3) + a

f(-3) = 9 + 15 + a

f(-3) = 24 + a

Since the line and the function are just touching at this point, the y-value of the function at x=-3 must be equal to the y-value of the line at x=-3. We can substitute these values into the equation for the line to find the value of a:

y = -(-3) + 4

y = 3 + 4

y = 7

Substituting this back into the equation for the function, we get:

f(-3) = 24 + a = 7

a = 7 - 24

a = -17

Therefore, the value of a is -17.

what do you mean by tangent?

A tangent is a line that touches a curve at a single point, but does not intersect the curve at any other points. In other words, it is a line that is just "skimming" the curve, rather than crossing it.

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In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

What is   equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.

Cost of Adult ticket = y

cost of child ticket  = x

cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)

=> y  = 5 + 3x

=> y = 3x + 5

Equation is   y = 3x + 5

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Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively

The slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.

The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.

The formula is represented as;

m = Δy / Δx

where Δ represent the change

The y-intercept of a line is the point at which the line touches the y-axis of the graph.

With these information, we can write a slope-intercept form of a straight line which is given as;

y = mx + c

In the given question;

x - 3 = 4

Let's collect like terms

x - 3 - 4 = x - 7

The equation can be rewritten as y = x - 7

In this case, the slope is 1 and the y-intercept is - 7

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Answer:4

Step-by-step explanation:

rectangular prism 1 829 equals the conterpostiive

Answer:

(A) 19 times, 16 people.

Step-by-step explanation:

There are 374 people in line and 16 people leave the line without riding, so there are 374 - 16 = <<374-16=358>>358 people who want to ride the Caterpillar.

The Caterpillar seats 18 people, so it must run 358/18 = <<358/18=19.89>>19.89 times to accommodate all the riders.

Since the Caterpillar cannot run a fraction of a time, it must run 19 times.

There are 358 people who want to ride and the Caterpillar can accommodate 19 x 18 = <<19*18=342>>342 of them, so there are 358 - 342 = <<358-342=16>>16 people on the last ride.

Therefore, the Caterpillar runs 19 times and there are 16 people on the last ride, so the answer is (A) 19 times, 16 people.

Tell me if this helped :)

With the Application of Arithmetic operators the value of given equation is 492.

what is Arithmetic operators?

an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.

solution:

sub  k =8,j=2 in equation k^3-4j = 12

Therefore, (8)^3 - 4 (2) = 12

                  512 - 8 - 12 = 0

492 is the value.

Therefore the value of given equation is 492

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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2​

A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours

Given,

Chance Product is designed to function for 10,000 hours

of failure is 3%

To find,

Average number of failures per hour

MTTF

Solution,

Average number of failures per hour = Chance of failure/Total hours of function

= 3%/10000

= 0.03/10000

= 0.000003

MTTF = 1/Average number of failures per hour

= 1/0.000003

= 333,333 hours

The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.

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Answer:

hi no ugh I pero Eresi me gusta la

The Ancient Egyptians were the first to invent a dish close to what we know as a pie today. They had a honey filling covered in a crusty cake made from oats,

And cost of one pumpkin pie = $8

Let the cost of one apple pie be $x

And cost of one pumpkin pie be $ y.

According to given problem,

For Lisa :  sold 8 apple pies and 4 pumpkin pies for a total of $80

8x + 4y = 80   ------------(1)

For Shreya :  sold 8 apple pies and 3 pumpkin pies for a total of $72

8x + 3y = 72    ---------------(2)

Solving equation (1) and (2), to get x and y.

Subtract equation (2) from equation (1)

i.e 8x + 4y - (8x +3y) = 80 - 72

or 8x - 8x + 4y - 3y = 8

or  y = 8

And x = 6   { 8x + 4×8 = 80   or x = (80 - 32)/8  = 48/8 = 6 }

Hence, the cost of one apple pie = x = $6

And cost of one pumpkin pie = y =$8

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We may calculate our answer using fractions and the fact that the base is 18.3 feet.

The components of a whole or group of items are represented by fractions. A fraction consists of two components.

The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.

There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equals area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Answer:

At short 18.7 ft is the answer

Find the biggest common factor between the ratio's two terms to write the ratio in its simplest form. The largest number that equally divides both numbers is known as the greatest common factor of two numbers.

1 : 1/2 = 2 : 1

Add whole numbers to the values.

Create a fraction with the full number 1 as the denominator.

Next, we have:

1 : 1/2 = 1/1 : 1/2

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

1 1/3 : 4 4/7 = 7 : 24

There are now:

1 1/3 : 4 4/7 = 4/3 : 32/7

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

0.360 : 0.153 = 40 : 17

Add whole numbers to the values.

By multiplying both sides by 103 = 1000 to remove all three decimal places, you can convert any decimal values to integers.

Next, we have:

0.360 : 0.153 = 360 : 153

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If Tommy is flying his kite one afternoon and notices that he has let out

the entire 130 ft of string.  The height , to the nearest foot, is his kite at this time is : 144 ft.

Given data:

String = 130 ft

Angle =  48°

Let h represent the height

Hence,

Tan48° = h/130

h= 130 tan48°

h = 130 (1.11061251483)

h = 144 ft

Therefore we can conclude that the height is 144ft.

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The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The inequalities are,

2( x +6 ) > -6( x +1) +2

2x + 12 > -6x - 6 + 2

2x + 6x > -12 - 6 +2

8x > -16

x > -2

-3x - 1 ≥ 20

-3x ≥ 21

x ≥ -7

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Answer: pls show list of equations

Step-by-step explanation:

1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)

2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)

3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)

4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)

5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)

6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)

7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)

8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)

9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)

First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.

The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.

The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.

So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.

Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.

The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.

The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.

The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.

Therefore, the answer is Rs. 70187.

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Answer:D. y = 3/4x + 1

An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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The value of k as calculated from the information provided is -16 , -8 , 8 , 16.

The given equation is,

x² + kx + 15

= ( x + a ) (x + b)

= x² + (a + b ) x + ab

Therefore,

k = a + b

ab = 15

as known , a and b are integers,

15 = ( -1 x -15 ) , ( 1 x 15)

15 = (-3 x -5) , (3 x 5 )

Therefore,

k = -1 -15

= -16

and

k = -3 - 5

=8

The values of k are -16 , -8 , 8 , 16.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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The last line of a solution is 7 = 7. It means there is infinite solutions.

What are types of solution of linear equation?

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

The set of linear equations can have one of three different sorts of solutions. As follows:

1) unique solution

2) No solution

3) Infinite solutions

Given that the last line after solving an equation is 7 = 7.

Since the LHS and RHS of the equation is same thus it has infinite many solution.

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Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.

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The step in which there was a mistake in the simplification of the expression is given as follows:

A. Step 5.

The expression in this problem is defined as follows:

(1 + 3²)/5 + |-10|/2

The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:

(1 + 3²)/5 + 10/2.

Then the square is applied to 3², as 3 x 3 = 9, hence:

(1 + 9)/5 + 10/2

The parenthesis takes precedence, hence:

10/5 + 10/2.

The first quotient takes precedence, hence:

2 + 10/2.

Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:

2 + 5 = 7.

This means that option A is correct.

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Since the probability is less than equal to 0.8907, then the value of x is 0.9750.

Given, the random variable is from of a normal distribution with

μ = 4 and  σ = 1.37

.where, μ  is the mean value and σ  is the standard deviation.

According to the Question:

P(X≤8.907) = P( X−μ/σ ≤ 0.8907 - 4.00/ 1.37)

                  = P ( Z ≤ -29196.43)

​                  

Using Z-table we get a value of x which is 0.9750

So,

P(X ≤ 0.8907) = 97.50%

According to the calculations, the required value of x is 97.50%.

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Answer:

it's not easy but I'll try my best when I get the answer I'll come back thanks

Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

It's formula is:

[tex]h^{2} = p^{2} +b^{2}[/tex]

h1=30500 feet = 5.77 miles

d1= 50 miles

h2= 18000 feet = 3.4 miles

d2= 20 miles

for right angle triangle,

height = h1-h2 = 2.37 miles

distance  = 50-20 = 30 miles

plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]

=30.09 miles

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Answer: p = 4.5

Step-by-step explanation:

12.4 - 4.5 = 7.9

Answer: p=4.5

Step-by-step explanation:

You do it like this: 12.4=7.9+p

12.4-7.9=p

p=4.5