the equati...
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram.
36
4.5
X = ?

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

What is a triangle in 3D called?

Triangular Prism (3D shape with identical triangle bases) Cone (3D triangle with a circular base)

In the case of a cylinder, one or several of the following data must be provided: the total area/lateral area and the circumference/area of the base or the area of the base and the volume. Ex: provided the circumference of the base = 10π inches, and the lateral area = 50π inches², the equation can be written as 50π ÷ 10π = 5 inches.

learn more about triangle here

https://brainly.com/question/481804

#SPJ4

If a current flows at 5 mph. A boat can travel 20 mi downstream in the same amount of time it can go 12 mi upstream. The speed of the boat in still water is 20mph.

Boat speed x mph

Current speed 5 mph

Against current x - 5 mph

With current x + 5 mph

Distance against current 12

Distance with current 20

Time = same equate the time against with time with current

t=d/r

12 /(x- 5)= 20 /(x+ 5)

12 ×(x+ 5 )= 20 ×(x- 5 )

12 x + 60= 20 x -100

12 x -20 x = -100 + -60

-8x = -160

x = -160/-8

x= 20 mph

Therefore the speed of the boat in still water is 20mph.

Learn more about speed here:https://brainly.com/question/13943409

#SPJ1

The perimeter of the polygon is found as the 42 cm.

For the shown polygon:

Points A, B, C and D are tangents on the circle.

Thus, these tangent will subtend equal length from the points.

So,

AB = 3 + 4 = 7 cm

BC = 4 + 5 = 9 cm

As, ∠B ≅ ∠D, sides must also be equal.

CD = 5 + 4 = 9 cm

DA = 4 + 3 = 7 cm

Perimeter = AB + BC + BC + BC

                 = 7 + 9 + 9 + 7

Perimeter = 42 cm

Thus, the perimeter of the polygon is found as the 42 cm.

To now more about the perimeter of the polygon, here

https://brainly.com/question/27083382

#SPJ1

Answer:

9x+5

Step-by-step explanation:

Add x and 8x

The z score when x=72 , μ=63 , 0=3 is z=3

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

According to the equation

z=x-u/sigma

we get z=3

To learn more about z score, click the following link:-

https://brainly.com/question/29170116

#SPJ1

The expressions that have a product of 10 are:

Option B: 5/6 x 14 = (5/6) * 14 = (514)/6 = 70/6 = 10

Option C: 3/5 x 20 = (3/5) * 20 = (320)/5 = 60/5 = 12

Option A: 5/14 x 14 = (5/14) * 14 = (514)/14 = 70/14 = 5

Option D: 2/3 x 15 = (2/3) * 15 = (215)/3 = 30/3 = 10

So options B and D have a product of 10.

The solution of the equations: 2x+3y=3, 3x+2y=7​ is x =0  and y =1.

Equation:

An equation is a mathematical formula containing two algebraic expressions on either side of an equal sign (=). It shows the equivalence relation between the formula written on the left and the formula written on the right. In any formula, L.H.S = R.H.S (left side = right side). We can solve equations to find the values ​​of unknown variables that represent unknown quantities. If a statement doesn't have an equals sign, it means it's not an equation. considered to be an expression.

According to the question:

Given in the question:

2x+3y=3                         --------------------------------------- (1)

3x+2y=7                         ---------------------------------------- (2)

Multiplying Equation (1) by 3 and (2) by 2, we get:

6x + 9y = 9                                 --------------------------------- (3)

6x + 4y = 14                                --------------------------------- (4)

Now,

Subtracting equation (4) from (3)

5y = 5

⇒ y = 1

Now, putting y = 1 in equation (1) we get:

   2x + 3 × 1 = 3

⇒ 2x + 3 = 3

⇒ x = 0

Therefore, x =0 and y=1.

Learn more about equations:

https://brainly.com/question/15707224

#SPJ4

A function's range is the collection of all possible values that it can accept, and its domain is the set of all values for which the function is defined.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x. The following requirements are frequently verified when a function's output y-value is required to be a real number:

1. The numerator cannot be zero.

2. Even roots (square roots, etc.) radicands (expressions denoted by a radical symbol) cannot have a negative value.

3. Only positive values can be used in logarithms.

4. Physical or other real-world constraints may be placed on word problems, such as the fact that time is not negative or that the number of items is an integer.

To learn more about functions, visit the link below:

brainly.com/question/30130734

#SPJ4

Answer:

The exponential form of 0 is 0.

In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 0. The exponential form is simply the number with exponents.

The total cost of a pair of sandals is given by the equation A = $ 18.39

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.

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.

Given data ,

Let the cost of pair of sandals be represented as A

Now , the equation will be

The total amount spent by Bonnie = $ 77.77

The cost of one shirt = $ 11.49

So , the cost of 2 shirts = 2 x 11.49 = $ 22.98

And , the cost of 1 pair = $ 32

The total tax on the purchase = $ 4.40

So , the cost of pair of sandals A = total amount spent by Bonnie - cost of 2 shirts - cost of 1 pair - total tax on the purchase

Substituting the values in the equation , we get

The cost of pair of sandals A = 77.77 - 22.98 - 32 - 4.40

On simplifying the equation , we get

The cost of pair of sandals A = $ 18.39

Hence , the total cost of sandals is $ 18.39

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer: 57

Step-by-step explanation:

1. Multiply 95 and 60

2. You get 5700, then you divide by 100

3. 5700/100 = 57

It is simple to locate the rest. Simply divide the number by another number with its multiples to obtain the remaining.

Always less than the divisor is the remainder. It indicates that the division is not complete if the remainder exceeds the divisor. It might either be higher or lower than the quotient. For instance, the remaining is six when the number seven is divided by 41, leaving five as the quotient.

It's simple to locate the rest of them. To obtain the remainder, we simply divide the number by a different integer that is one of its multiples.

the surplus after division (happens when the first number does not divide exactly by the other). Example: Dividing 19 exactly by 5 is not possible. The closest you can go to 19 without going over is 3 x 5, which is 15 and 4 less. 4 remains as a result.

To learn more about remainder refer to:

https://brainly.com/question/25289437

#SPJ1

Answer:

no although they were close

Step-by-step explanation:

The number 363 does not belong to the set.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

The given numbers are 64, 289, 81, 363 and 121.

The numbers 64, 289, 81 and 121 is a perfect square of integers.

64 = 8²

289 = 17²

81 = 9²

121 = 11²

But 363 is not a perfect square of any integer.

Hence the number which is odd in the list is 363.

To learn more about Square Roots, click :

https://brainly.com/question/3120622

#SPJ1

It is called the substitution method because we substitute the value of one variable with another one and solve the equation.

By changing the value of another variable in an equation, the variable can be eliminated using this method. Thus, the elimination by substitution method is the name given to this technique.

As we are aware, the substitution approach entails solving the equation to determine the value of the variable, which is then substituted in the other equation. The elimination approach, in contrast, involves removing variables from the equation such that the equation's system can be reduced to being the function of a single variable.

To learn more about substitution method here:

https://brainly.com/question/14619835

#SPJ4

The value of the expression is -5.84

The question is mathematically expressed as follows

The question reads: three fifths times the quantity 1 plus the square root of 16 end quantity squared minus the quantity five minus two end quantity cubed

[(3/5*1 + √16)]² - (5-2)³

Simplify the brackets first

This implies that

(3/5 + 4)² - (3)³

Simplify further to have

[(3+20)/5]² - 27

⇒(23/5) -27

Simplify to get

529/25 - 27

= 21.16 - 27

=-5.84

Therefore the expression gives -5.84

Learn more about simplification of expressions on https://brainly.com/question/2804192

#SPJ1

a. We cannot calculate the probability, because we do not know the shape of the distribution.

b. The mean and standard deviation of the sampling distribution of x are 12 and 0.0566.

c. The shape of the distribution described in part b is symmetrical.

d. The probability that a random sample of 50 cans produces a sample mean amount of 11.9 ounces or less is 0.0386.

We do not know the shape of the distribution, so we cannot calculate the probability that a single randomly selected can contains 11.9 ounces or less. The question given have not told us that the distribution of individual cans was normal, and we cannot assume it is so; therefore, we cannot calculate its probability.

As given information the mean μx = 12.

And standard deviation σx = σ / √n = 0.4 / √50 = 0.566.

The shape of the distribution described in part b is symmetrical, because the two sides of the distribution are a mirror image of each other. Therefore, it is normal distribution.

Since the sample is large n = 50 and 50 > 30, so by CLT (Central Limit Theorem), the distribution of sample means is approximately normal N(12, 0.0566). So, P(x ≤ 11.9) = normalcdf (0, 11.9, 12, 0.0566) = 0.0386.

Learn more about normal distribution at: https://brainly.com/question/13759327

#SPJ4

B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus. Options B and E are correct options

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Total students = 50
Number of students in bus = 38
Number of students in car = 3
Number of students in Walk = 9

Percentage student go to school by bus = 36 / 50 × 100% = 76%

Similarly,
Percentage students go to school by car = 6%
Percentage of students who go to school by walk = 18%

From the above calculation, the Correct options,
B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

.

During photosynthesis, what is the path or flow of energy among biotic and abiotic parts of an ecosystem?

Answer:

y = (-5/2)x + 8

slope = -2.5

b = 8

x-intercept = 3.2

y-intercept = 8

Step-by-step explanation:

Answer:

$735.75

Step-by-step explanation:

The equation is:

A = P(1 + rt)

We know

P = $675

r = 3% = 0.03

t = 3 years

Let's solve

A = 675(1 + 0.03 x 3)

A = 675( 1.09)

A = $735.75

This is equal to 0.04 plus 1.96 into root over 0.04 into 0.96 divided by 400 point. This is equal to 0.059, which is equal to 5.9 percent. Therefore, double 0 to 5.9 percent represent babies born with defect.

According to one research, 28 out of every 400 kids born in the globe suffer some form of serious birth problem. To execute a simulation based on this data, the easiest approach to assign random numbers is to use 00-06 (7%) to identify the newborns with birth abnormalities.

It is to be noted that:

The sum total of births is: 400

The sum of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

The implication here is that that 07-99 (93%) will represent the babies without birth defects.

To learn more about simulation refers to;

brainly.com/question/28250197

#SPJ1

The location of the waterfall on the graph will be (3,1). Instead of going down down,  Rodrigo goes 4 units upward direction.

What are the coordinates of a point?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).

Given that the location of the entrance is at (6,5).

To reach the waterfall, you need to go 3 km to the left and 4 km down from the park entrance.

The x-coordinate decreases to the left side of a point and increases to the right side of a point.

The y-coordinate decreases to a downward point and increases upward a point.

The x-coordinate of the waterfall is 6 - 3 =3

The y-coordinate of the waterfall is 5 - 4 = 1.

The coordinate that represents the location of a point is (3,1).

To learn more about Cartesian System, click on the below link:

https://brainly.com/question/14039630

#SPJ1

The degree of the polynomial 3x² 5x¹ 7 is 2.

This can be calculated by examining the highest exponent of the variable in the polynomial. Since the highest exponent is 2, the degree of the polynomial is 2.

Formula: Degree = Highest Exponent of the Variable

To calculate the degree of the polynomial 3x² 5x¹ 7, we first need to examine the highest exponent of the variable. The highest exponent is 2, therefore, the degree of the polynomial is 2.

3x² = 3x2 = 3x2 = Degree = 2

5x¹ = 5x1 = 5x1 = Degree = 1

7 = 7 = 7 = Degree = 0

Learn more about  degree of the polynomial here:

https://brainly.com/question/29182596

#SPJ4

Answer: -1/36

Step-by-step explanation:

Answer: - 1/36

Step-by-step explanation: exponet rule a^-b=1/a^

Distance between Marvin and Joshua is less or equal to 12 meter.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given,

Marvin and Joshua are about to play in a circular field.

Diameter of the field D = 12m

Let distance between two friends is x

Since, Diameter is the longest chord in a circle

Thus, x ≤ D

Distance between two friends ≤ 12 meter.

Hence, Marvin and Joshua are 12 meter or less far away from each other.

Learn more about inequality here:

https://brainly.com/question/24372553

#SPJ1

A quadratic equation is a second-degree equation, meaning it contains at least one squared term.

A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

2x2-7x = 0.

As we already know, a quadratic equation is a second-degree equation, meaning it contains at least one squared term.

Regarding comparing the quadratic equation in standard form with the equation 2x27x=0

ax ²+bx+c=0:

We get a=2, b=7, and c=0.

The equation 2x27x=0 is therefore a quadratic equation.

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ4