Which of these expressions equal 15 when x = and y = 3?
*There is more than correct answer.
ry+3+201
4 (2y-4r) -1
04r²+2y-10
04 (2²+1) + 2x + 3y
0-14r2

The equivalent to 5a³ + 4a³ is (5+4) a³, according to the question.

What do you mean by Equivalent ?

Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.

According to the given question,

We have the given options are:

O (5+4) a³+3

O (5+4) a³

O (5.4) a³+3

O (5.4) a³

Now, we will find the equivalent,

5a³ + 4a³

Then, we will taking common factor from the given equation:

5a³ + 4a³

= a³(5+4)

So that is same as (5+4)a³.

Therefore, the equivalent to 5a³ + 4a³ is (5+4) a³.

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The value of y= 5.49≈ 5.5cm

What is 30-60-90 traingle?

The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.

By 30-60-90 triangle rule,

Side across 60° angle = x

Hypotenuse side = 2x= 15

Side across 30° angle = x√3

By solving,

2x= 15

x= 7.5cm

So side across 60° angle= 7.5 cm

Side across 30° angle = 7.5×√3

                                     = 7.5× 1.732= 12.99≈ 13cm

As the figure given us square so,

13= 7.5+y

y= 13-7.5

y= 5.5 cm

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Sam passed the marker of 483 miles, in 6 hours.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
An expression is given as M = 58h + 135. shows how many miles the same has traveled for h hours,
To evaluate the mile marker that sam passed at 6 hours, substitute the value with h in a given expression.
M = 58×6 +135

Simplifying the above expression gives the mile marker
M = 483 miles

Thus, the required miles are 483.

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Answer:

1/2

Step-by-step explanation:

Since 5 is one of the six possible numbers available, rolling a 5 is a 1/6 probability.

Since rolling a number less than 3 means rolling a 1 or 2, rolling a 1 or 2 is a 2/6 probability.

Add those probabilities up since you can get either of those outcomes and you get 1/6+2/6=3/6

3/6=1/2

Answer:

(f ○ g)(x) = 3x² + 5

Step-by-step explanation:

substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x² + 2)

= 3(x² + 2) - 1

= 3x² + 6 - 1

= 3x² + 5

Answer: point form: (4,3) equation form: x=4 y=3

Step-by-step explanation:

The labeled quadrants in the standard xy coordinate plane is Quadrant II

What is Quadrants?

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Concept:

The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.

The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).

The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.

The labeled quadrants in the standard xy coordinate plane is Quadrant II

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Answer:

Step-by-step explanation:

I am not super sure about this one

By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.

What does testing your hypotheses mean?

To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.

               First, a hazy assumption about the parameter or distribution is made.

What is hypothesis testing, and how can it be used?

A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.

                     The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.

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Answer: A

Step-by-step explanation:

Before we find the equation of the perpendicular line, we have to find the slope of the original line.

The slope-intercept form of the equation is y=mx+b, so let's change that.

[tex]-2x+3y=-6[/tex]            [add both sides by 2x]

[tex]3y=2x-6[/tex]                  [divide both sides by 3]

[tex]y=\frac{2}{3} x-2[/tex]

This gives slope as [tex]\frac{2}{3}[/tex].

There are 2 things for us to do to find the slope of a perpendicular line.

1. reciprocal

2. change sign

Let's apply those rules.

1. [tex]\frac{3}{2}[/tex]

2. [tex]-\frac{3}{2}[/tex]

Now, we can find the perpendicular lines by plugging in our new point.

[tex]y=-\frac{3}{2} x+b[/tex]          [plug in x and y]

[tex]-1=-\frac{3}{2}(6)+b[/tex]     [multiply]

[tex]-1=-9+b[/tex]          [add both sides by 9]

[tex]b=8[/tex]

Now we can plug in for our slope-intercept equation.

[tex]y=-\frac{3}{2} x+8[/tex]

Since answers are in standard form, we have to manipulate it.

[tex]y=-\frac{3}{2} x+8[/tex]        [add both sides by [tex]\frac{3}{2} x[/tex]]

[tex]\frac{3}{2}x+y=8[/tex]            [multiply both sides by 2]

[tex]3x+2y=16[/tex]

Therefore, our final answer is A.

Answer:

2 1/4

Step-by-step explanation:

I know bc its basic math

The equivalent ratios to tan F = EL/ EF = OS/OJ

Similar triangles are those with the same shape but different sizes. Similar triangles include all equilateral triangles and squares with any side length.

All related pairs of angles will be equal and corresponding sides of similar triangles will have the same ratio. The symbol '∼' is used to represent the similarity.

Given that

△FEL∼△JOS

That means △FEL and △JOS are similar triangles

As we know tan θ = Opposite side / Adjacent side

From the triangle △FEL,

=> tan F = EL/EF      

By the given information,

The similar triangle's corresponding sides will have the same ratio  

=> EL/ EF = OS/OJ

Therefore

The equivalent ratios to tan F = EL/ EF = OS/OJ

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The required percent decrease in the price of the skateboard is 40%.

What is the percentage?

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here, we have

Original price = $84.50

sale price = $50.70

Percent decrease = 84.50-50.70/84.50 × 100 = 40%

Hence, the required percent decrease in the price of the skateboard is 40%.

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the inequality model will be x+2y<19

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

x + y > 11

.05x + .10y < .95

by multiplying 20 in inequality we get x+2y<19

Hence, the inequality model will be x+2y<19

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Answer:

y=5x−2

I hope this helps!

z-score of a value is  -5.96

What is z-score in binomial distribution?

The Z score represents the number of standard deviations above or below the mean. The Z score of the mean is 0 by definition.

What is Probability?

The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.

Given,

A random variable, let's call it X, has parameters that fit the Binomial distribution: n (number of trials) = 50 and p (success probability) 0.76.

We must ascertain the z-score (Z) of the value 20 =  that this random variable X has chosen.

Now, for a random variable, say X, its z-score (Z) is defined as ,

Z = (X - mean of X)/ Standard deviation of X

A binomial random variable with the parameters once more n and p, its mean is given as np and its standard deviation is given as [tex]\sqrt{n*p*(1-p)}[/tex]

The standard deviation of X is provided as [tex]\sqrt{50*0.76*0.24}[/tex] = [tex]\sqrt{9.12}[/tex] = 3.0199933  while the mean of X is given as 50*0.76 = 38.

Therefore, the required z-score (Z) for X = 20, is given as,

Z = 20-38/3.0199933

Z= -5.9602781238

Z= -5.96 that is the necessary z-score.

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The cost of one liter of washing up liquid would be = $1.8

Liters is a variable that is can be used to denote the measurement of a liquid.

The quantity of the washing up liquid that was given= 1.5 liters.

The cost of 1.5 liters of washing up liquid =$2.70

If 1.5 L = 2.70

1 L = X

Make X the subject of formula;

X = 1× 2.70/1.5

X = $1.8

Therefore, the cost of one liter of washing up liquid would be = $1.8

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The x-intercept and y-intercept of the line will be at (24, 0) and (0, 6). And the line is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The linear equation is given below.

y = -(1/4)x + 6

Convert the equation into intercept form, then we have

y = -(1/4)x + 6

4y = - x + 24

x + 4y = 24

x / 24 + y / 6 = 1

The x-catch and y-capture of the line will be at (24, 0) and (0, 6) and the line is drawn underneath.

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Answer:

10 years old

Step-by-step explanation:

Answer:At the rate of 15% the amount of interest on $2000

Step-by-step explanation:

simple amount= Principle(1+rt)

where r= rate of inetrest

t= time

principal is initial amount

therefore, amount=2000(1+15*1)

Amount = $2,300.00

Interest = Amount - Principal = $300.00

Answer:

Step-by-step explanation:

Interest = Principle * Rate * Time /100

Principle =  $2000

Rate = 15 %

Time =  1 year

I = 2000 * 15 * 1/100

I = 300

Juan has to pay $300 in a year

First:

Quotient: [tex]2x^{2} -11x+58[/tex]

Remainder: [tex]-294[/tex]

Second:

Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]

Remainder: [tex]422[/tex]

Third:

Quotient: [tex]2x-3[/tex]

Remainder: [tex]12[/tex]

Answer: Y=mx+b

Step-by-step explanation:

The simplest form of Sin 30° x tan 60° is √3/2 or sin  60° or cos 30°.

What are trigonometry ratios?

Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Given that the trigonometry function is

sin 30° x tan 60°

Putting sin 30° = 1/2 and tan 60° = √3

=  (1/2) ×√3

=  (1/2) ×(√3/1)

Now multiply the denominators and numerators:

= √3/2

Putting √3/2 = sin 60°

= sin 60°

Again sin 60° = cos 30°

= cos 30°

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The original price of the instrument is $60.

Discount Price:

50% of 120 = 50/100 * 120

                   = 0.5 * 120

                   = 60

Original Price = Sale Price - Discount Price                  

                       = 120 - 60

                       = 60

Therefore, the original price of the instrument is $60.

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1000b + 2500p = 60,000

1000b + 2500(10) = 60,000

1000b + 25000 = 60,000

1000b = 35,000

b = 35

they need to sell 35 basic packages to reach their goal of 60,000 dollars

Therefore , the probability that she selects none of those containing errors is 0.6798.

Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.

Here,

Number of ways of selecting 3 returns out of 59 is C(59,3).

Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).

The probability that she selects none of those containing errors is

P( No errors )=[tex]\frac{C(52,3)}{C(59,3)}[/tex]=0.6798

Therefore , the probability that she selects none of those containing errors is 0.6798.

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The carbinet has rectangular floor plan where the length is equal to 5 feet more than twice the width.  The the expression that represents the area in square feet is Option B 2w²+5. ∧where w is the width

The area of the rectangle is the floor space the rectangle can occupy at a given time.

The given parameters are

L= 2w+5

The width = w

Then area is given by the formula

A=L*W

A=2w*w+5

Simplify the expression you have

A=2w²+5 where w is the width

Therefore the area is b. 2w²+5, where w is the width

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The correct answer is C.

Answer:

[tex]x < -7[/tex]

Step-by-step explanation:

First subtract 2 from both sides.

[tex]-5x+2-2 > 37-2[/tex]

[tex]-5x > 35[/tex]

Then divide both sides by -5.

[tex]\frac{-5x}{-5} > \frac{35}{-5}[/tex]

For x < - 7, the inequality {- 5x + 2 > 37} is satisfied.

Given is the inequality as follows -

- 5x + 2 > 37

The given inequality is -

- 5x + 2 > 37

- 5x + 2 > 37

- 5x + 2 - 2 > 37 - 2

- 5x > 35

x < - 7

Therefore, for x < - 7, the inequality {- 5x + 2 > 37} is satisfied.

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