For which equation is x = 5 a solution?

A. x/5 = 5

B. 5x = 5

C. 5 + 0 = x

D. 5 + x = 15

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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We will have the following:

We will be able to take 4 values, so:

*When we pick value 1: There will be 10 possible choices [1/ 10]

*When we pick value 2: There will be 9 possible choices [1/9]

*When we pick value 3: There will be 8 possible choices [1/8]

*When we pick value 4: There will be 7 possible choices [1/7]

So, the probability of that number being seven is the following:

So, the probability of at least one digit is 7 is 0.0001984126984.

A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)

(Hint: Solve the equation for h)

Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,

A=(1/2)b x (h)

2A = b x h

h = (2A)/b

where h is the height of the triangle and b is the length of the base of the triangle.

Hence, the height of the triangle can be written as h = (2A)/b.

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Answer: 46

Step-by-step explanation:

180 - 134 = 46

Answer with Step-by-step explanation:

you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. You can prove similarity with AA, SSS, or SAS.

If two buildings in a sports complex are shaped and positioned like a portion of the branches of the hyperbola.

a. The distance between the two buildings at their closest point is 11.66 meters.

b. The distance d is 22.20 meters.

a. First, we need to rewrite the equation of the hyperbola in standard form:

625x² - 400y² = 250,000

x²/16 - y²/25 = 1

This gives us the center of the hyperbola at (0,0), and the vertices at (-4,0) and (4,0). The distance between the two buildings is twice the distance between the center and one of the foci.

Using the formula c = sqrt(a² + b²) where a=4 and b=5 (since 25-16 = 9, so a = sqrt(9) = 3 and b = sqrt(25) = 5), we get:

c = sqrt(3² + 5²) = sqrt(34)

Therefore, the distance between the two buildings at their closest point is 2c, or 2*sqrt(34), which is approximately 11.66 meters.

(b) To find the distance, we need to find the length of the line segment connecting the two points where the hyperbola intersects the vertical line x = -3.

Plugging x=-3 into the equation of the hyperbola, we get:

625(-3)² - 400y² = 250,000

y² = 425

Taking the positive square root and using the distance formula, we get:

d = sqrt((-3 - (-4))² + sqrt(425)²) = sqrt(2² + 5sqrt(17)²) = sqrt(29*17) = sqrt(493)

Therefore, the distance d  is sqrt(493), which is approximately 22.20 meters.

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The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

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

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

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Answer:

RED

Step-by-step explanation:

1/3  

1/4

1/6

1/4

4/12

3/12

2/12

3/12

#achievements

9514 1404 393

Answer:

  48°

Step-by-step explanation:

Supplementary angles total 180°.

  m∠A +m∠B = 180°

  (6x -30)° +(8x +28)° = 180°

  14x = 182 . . . . . . . . . . . . . . . . divide by ° and add 2

  x = 13 . . . . . . . . . . . . . . . . . . . .divide by 14

Then the measure of angle A is ...

  m∠A = (6·13 -30)° = 6(13 -5)° = 6·8°

  m∠A = 48°

Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

Set up the location where x will display the number of high toppers first. The number of running shoes will be represented by 2x. We may now construct the equation:

x+2x=144

Add like phrases together 3x=144 3 x = 48 divided by both sides.

48 high tops and 96 running shoes will be marketed, according to these shoes.

A linear equation of unknown x is an equation that is or can be formulated in the form:

mx+q=0

Where m and q are constants. A simple example is:

3x+5=14

We can write it as:

3x−9=0

A linear function has a graph that is a straight line. The line is always straight even though it can travel in any direction. Y = an x + b, where a and b are constants, is the generic form of a linear function.

Examples:

y = x + 3

y = 2x

y = x

Non-linear function has a shape that is not a straight line.

Examples:

y = x^2

y = x ^ 3

y = 1/x

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Step-by-step explanation:

Heron's formula when all 3 sides (a, b, c) are given :

s = (a + b + c)/2

A = sqrt(s(s-a)(s-b)(s-c))

in our case

s = (34+73+89)/2 = 98

A = sqrt(98(98-34)(98-73)(98-89)) =

= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =

= sqrt(2×49)×120 = sqrt(2)×7×120 =

= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

The number of number of four-legged and three-legged stools in stock is 38 and 16 respectively.

let

x + y = 54

4x + 3y = 200

From equation (1)

x = 54 - y

4x + 3y = 200

4(54 - y) + 3y = 200

216 - 4y + 3y = 200

216 - y = 200

- y = 200 - 216

-y = -16

y = 16

x + y = 54

x + 16 = 54

x = 54 - 16

x = 38

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The future value (FV) of the loan after 12 months, after the monthly compounding at an interest rate of 5.9%, is about $8977.98.

For one to be able to calculate the future value (FV) of the loan, one need to use the formula for compound interest which is:

FV = PV x (1 + r)ⁿ

Where:

PV = Present value (loan amount)

      = $8,465

r = Monthly interest rate

= 5.9% / 12

= 0.004917

n = Number of compounding periods

 = 12 (months)

Pmt = Monthly payment (unknown)

So by  Using these values, one can calculate the future value (FV) of the loan and thus:

FV = $8,465 x (1 + 0.004917)¹²

=  $8,465 x  1.0606

= $8977.98

So, the future value (FV) of the loan after 12 months, as at the monthly compounding at an interest rate of 5.9%, is about $8977.98.

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Answer: oh easy its 1220703250

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:70

Step-by-step explanation:

You would take the money he had (345) and divide it by the bills he had (5). hope this helps! :>

y = -4, -3, -2, -1, 0, 1

Step-by-step explanation:

-5 < y < 2

y = -4, -3, -2, -1, 0, 1

-5 < -4, -3, -2, -1, 0, 1 < 2 ☑

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Work Shown:

\((-x-5)^2\\\\(-x-5)(-x-5)\\\\y(-x-5) \ \text{... let } y = -x-5\\\\-xy-5y\\\\-x(y)-5(y)\\\\-x(-x-5)-5(-x-5) \ \text{... plug in } y = -x-5\\\\x^2+5x+5x+25\\\\x^2+\boldsymbol{10}x+25\)

Therefore, \((-x-5)^2=x^2+\boldsymbol{10}x+25\)

The missing coefficient of the x term is 10.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

(-x-5)²

We know that,

(-x -5)² = (-x-5). (-x -5)

To multiply two binomial I can use the FOIL method

(-x-5)(-x-5)

= (-x)(-x) + (-x)(-5) + (-5)(-x) + (-5)(-5)

= x²  + 5x + 5x + 25

= x² + 10x + 25

So, the missing coefficient of the x-term is 10.

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The equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

The expression is given as:

\(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\)

Divide 128 by 2

\(\sqrt{\frac{64x^5y^6}{x^7y^5}}\)

Apply the law of indices to the variables

\(\sqrt{\frac{64y^{6-5}}{x^{7-5}}}\)

Evaluate the differences

\(\sqrt{\frac{64y}{x^2}}\)

Take the square root of 64

\(8\sqrt{\frac{y}{x^2}}\)

Take the square root of x^2

\(\frac{8\sqrt y}{x}\)

Hence, the equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

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Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.

The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.

The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.

The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.

Therefore, the expected number of times the die will land on a number less than 10 is:

E = (9/10) x 40 = 36

Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

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☆ 36 times.

— your in college ? im in seventh grade and got this question !

Answer:

3.20 gallons

Step-by-step explanation:

The answer is -12! Good luck!

A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Answer:

average=9 hours

Step-by-step explanation:

10hours on Friday

12 hours on Saturday

300 mins to hours= 300÷60=5

5 hours on Sunday

average=10+12+5

average=27

average=27÷3

average=9 hours