For of x for. X+3y=-3

The cube root of 27 is 3√t=3, which indicates that 3√t.

Cube root, or the cube root of a number, is simply the square root of that number. It can be used in various mathematical contexts to simplify complicated calculations. For example, when dealing with complex fractions and rational numbers (numbers that have a decimal point), the cube root can be used to solve problems more quickly and accurately.

We are aware that 5×5×5×5 Equals 125. Therefore, 125 is known as the cube of 5. Finding a number's cube root, on the other hand, entails doing the cube operation in reverse and is symbolised by the symbol.

A number x's cube roots are the integers y that answer the equation.

3√t is the cube root of 27,so 3√t=3 .

3√3

3×3×3=27

Hence the correct answer Is option (b) 3√t is the cube root of 27,so 3√t=3 .

To learn more about cube roots here:

https://brainly.com/question/12726345

#SPJ9

From the triangle he value of x is given as 13 units

Trigonometrical ratio of angles is a measure used to determine the sign of an angle. It can be calculated by finding the quadrant in which the angle (n ∙ 90° + θ) or (n ∙ 90° - θ) lies

The ratios are given as SOH CAH TOA

Where

S = sine = opposite/Hypothenuse

C = cosine = Adjacent/Hypothenuse

T = Tangent = Opposite/Adjacent

Tan 59 = x/7.7

x = 7.7 * tan59

Finding the value of tan59

x = 7.7 * 1.6643

x = 12.82 units

In conclusion, the value of x = 13 units

Learn more about SOH CAH TOA on https://brainly.com/question/14827396

#SPJ1

\(\\ \sf\longmapsto 20°+2p=70\)

\(\\ \sf\longmapsto 2p=70-20\)

\(\\ \sf\longmapsto 2p=50\)

\(\\ \sf\longmapsto p=\dfrac{50}{2}\)

\(\\ \sf\longmapsto p=25\)

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

12 feet + 102 feet - 90 feet = 24 feet.

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

Answer:

The slope is 1/3

Step-by-step explanation:

To find slope you do rise over run, so... count 1 up and 3 to the left. u count so they you can hit the intersections

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

The measure of arc LP is approximately 391.75 degrees.

The sum of the measures of arcs LM and NP is equal to the measure of the entire circumference, which is 360 degrees for a full circle. So we can set up an equation:

LM + NP = 360

Substituting the given expressions for LM and NP, we get:

(8x-56) + (5x+22) = 360

Simplifying and solving for x, we get:

13x - 34 = 360

13x = 394

x ≈ 30.31

Now that we have the value of x, we can find the measure of arc LP by adding the measures of arcs LM and NP:

LP = LM + NP

LP = (8x-56) + (5x+22)

LP = 13x - 34

Substituting x ≈ 30.31, we get:

LP ≈ 391.75 degrees

For such more questions on measure

https://brainly.com/question/25770607

#SPJ8

you would need to calculate the z-scores and look up the cumulative probabilities using a standard normal distribution table or a calculator to obtain the final probabilities.

To find the probability that a single randomly selected value is between 178.7 and 198.2, we can use the z-score formula and the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

z = (x(bar) - μ) / σ

For 178.7:

z1 = (178.7 - 208.5) / 94.8

For 198.2:

z2 = (198.2 - 208.5) / 94.8

Step 2: Look up the corresponding cumulative probabilities associated with the z-scores using a standard normal distribution table or a calculator.

Let's assume the cumulative probabilities for the z-scores are P1 and P2, respectively.

Step 3: Calculate the probability using the cumulative probabilities:

P(178.7 < X < 198.2) = P2 - P1

To find the probability that a sample of size n=85 is randomly selected with a mean between 178.7 and 198.2, we need to use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.

Since the sample size is large (n=85), we can approximate the distribution of sample means as a normal distribution with the same mean (μ) as the population but with a standard deviation (σ/√n).

Step 4: Calculate the standard deviation of the sample mean (σ/√n):

σ_sample = σ / √n

Step 5: Calculate the z-scores for the sample mean using the formula:

z_sample = (x(bar) - μ) / σ_sample

Here, x(bar) represents the sample mean.

Step 6: Look up the corresponding cumulative probabilities associated with the z-scores using a standard normal distribution table or a calculator.

Let's assume the cumulative probabilities for the z-scores of the sample mean are P_sample1 and P_sample2, respectively.

Step 7: Calculate the probability using the cumulative probabilities:

P(178.7 < ¯x < 198.2) = P_sample2 - P_sample1

To know more about probability visit:

brainly.com/question/32117953

#SPJ11

Answer:

A

Step-by-step explanation:

Answer:

pretty sure its non- proportional. Sorry if in wrong!!!

Answer:

3/4

Step-by-step explanation:

It says factor thithink multiplication.

So the question can translate to what number can I multiply 16 by to get 12.

16×k=12

Thus k=12/16 =3/4.

On solving the provided question we can say that the provided triangle is right angled triangle, x = \(\sqrt{3}\)

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided triangle is right angled triangle,

so,

cos 45 = B/H

1/\(\sqrt{3}\) = 1/x

x = \(\sqrt{3}\)

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

The data does not suggest that the true average total body bone mineral content during postweaning exceeds that during breastfeeding by more than 25g.

1. Hypotheses:

  - Null hypothesis (H0): The true average total body bone mineral content during postweaning is not more than 25g higher than during breastfeeding.

  - Alternative hypothesis (H1): The true average total body bone mineral content during postweaning exceeds that during breastfeeding by more than 25g.

2. Test statistic and significance level:

  - We will use a t-test to compare the means of the two groups.

  - The significance level is given as 0.05.

3. Calculate the test statistic:

  - Subtract the bone mineral content during breastfeeding (B) from the bone mineral content during postweaning (P) for each subject.

  - Calculate the mean difference and standard deviation of the differences.

  - Compute the t-test statistic using the formula: t = (mean difference - 25) / (standard deviation / √n), where n is the number of observations.

4. Degrees of freedom (df):

  - The degrees of freedom for this test is equal to the number of observations minus 1.

5. P-value:

  - Use a statistical computer package to calculate the P-value associated with the obtained test statistic and degrees of freedom.

6. Decision:

  - Compare the P-value to the significance level.

  - If the P-value is less than the significance level (0.05), reject the null hypothesis.

  - If the P-value is greater than or equal to the significance level, fail to reject the null hypothesis.

In this case, the conclusion is based on the calculated P-value. If the P-value is less than 0.05, we would reject the null hypothesis, indicating that the true average total body bone mineral content during postweaning does exceed that during breastfeeding by more than 25g. If the P-value is greater than or equal to 0.05, we would fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the average bone mineral content during postweaning is significantly higher than during breastfeeding by more than 25g.

Learn more about standard deviation : brainly.com/question/29115611

#SPJ11

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

\(\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)\)

In 10 years sum of their ages is 90

\(\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)\)

On solving (i) and (ii) we get

\(\Rightarrow x=25,y=45\)

So, the current age of victor is 45 and his daughter is 25

Answer:

45 , 25

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

to find x-intercept, sub y = 0

6x - 0 = 9

6x = 9

x = 3/2 = 1.5

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.

For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

Visit to know more about Constant:-

brainly.com/question/27983400

#SPJ11

The statement you provided is: "For both negatively skewed and positively skewed distribution, the mean is always pulled to the side with the long tail." The answer to this statement is True.
In a negatively skewed distribution, the long tail is on the left side, indicating that there are more data points with lower values. As a result, the mean will be pulled to the left, towards the long tail.
In a positively skewed distribution, the long tail is on the right side, indicating that there are more data points with higher values. Consequently, the mean will be pulled to the right, towards the long tail.
In summary, for both negatively and positively skewed distributions, the mean is always pulled towards the side with the long tail.

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ11

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

Answer:

Step-by-step explanation:

v = 1/3* L * w * h

1024 = 1/3 * 16 * 16 * height

1024 = 85.3333333 * height

divide both sides by 85.3 to isolate height = 12 cm

check your work

1024 = 1/3 * 16 * 16 * 12

1024 = 1024

yes they equal so its correct

Answer:

28

Step-by-step explanation:

Answer:

28.

Step-by-step explanation:

f(-1) = (-1)^2 - 2(-1) + 5 =  1 + 2 + 5 = 8

f(-3) = (-3)^2 - 2(-3) + 5 = 9 + 6 + 5 = 20

So, f(-1) + f(-3) = 28.

There are 250,000 different completed answer sheets possible using counting principle.

For part a, there are 2 choices for each of the 5 questions, so there are a total of 2^5 = 32 ways to complete part a.

For part b, there are 5 choices for each of the 4 questions, so there are a total of 5^4 = 625 ways to complete part b.

For part c, there are 6 choices for the first question, 5 choices for the second question (since one of the answers has already been used), 4 choices for the third question, and so on. So there are a total of 6 x 5 x 4 x 3 x 2 x 1 = 720 ways to complete part c.

To find the total number of possible completed answer sheets, we need to multiply the number of choices for each part. However, since part b and part c are mutually exclusive (you can only choose one of them), we need to add their totals together. Therefore, the total number of possible completed answer sheets is:

32 x (625 + 720) = 70,240

To know more about counting principle,

https://brainly.com/question/29594564

#SPJ11

Answer:

4=4, in infinitely many solutions

Step-by-step explanation:

hope this helps

Answer:

Well, you can't make an offical equation here because it doesn't say how many shirts your offically getting.

However, if you wanted to make an correct equation you want to times the amount of shirts your getting by the cost of a shirt, to get the final cost.

Step-by-step explanation:

In linear equation, Sofia will order 7 more rolls of sushi (84 pieces) and pay $56.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

76/12=6.33

Sofia has to order in rolls

So, she will order 7 more rolls of sushi of 12 pieces each

12*7=84 pieces

Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100

If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

7 rolls=$8*7

=$56

Learn more about linear equation

brainly.com/question/21835898

#SPJ4    

Answer:

3= 0.75

4= 1.00

Step-by-step explanation:

you are adding 0.25 to the cost row

The properties 1‚ 2‚ 4‚ and 5. are used

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

To learn more about addition properties click here ;

https://brainly.com/question/643393

#SPJ2

Step-by-step explanation:

-12.8x + b = -3.2(4x - 2.1) + 2.4 =

= -12.8x + 6.72 + 2.4

b = 6.72 + 2.4 = 9.12

Answer:

First one: Rotation

Second one: Translation

Third one: Reflection

Fourth one: Translation

Step-by-step explanation:

Answer:

I hope I helped you!

Answer:

4 2/4

Simplified: 4 1/2

Step-by-step explanation:

This is the answer because:

1) Since you Bob runs 3/4 mile each day, you have to multiply 3/4 with 6 because they are asking how far did Bob jog in 6 days.

2) 3/4*6 is equal to 18/4 which equivalent to 4 2/4 the simplified version is      4 1/2