Bob paid $ 9.90 for a box of crayons. How much did each crayon cost?
Solve: 8y + 3= 6y + 9

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

Learn more about distance on:

https://brainly.com/question/15445792

#SPJ1

Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Answer:

Radius of the circle = 6 units

Step-by-step explanation:

Let the radius of the circle be r

According to the given condition:

Area of the circle = 3 times the circumference of the circle

\(\therefore \pi r^2 =3\times 2\pi r\\\therefore r^2 = \frac{3\times 2\pi r}{\pi}\\\therefore r^2 = 3\times 2r\\\therefore r = 6\: units\\\)

Answer:

9.40

Step-by-step explanation:

7.40+2.00=9.40

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

27 cards

Step-by-step explanation:

We write the equation:

J + (1/3 x J) = 36

4/3 x J = 36

J = 36 x 3/4 = 27

Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Find (f-g)(6):

f(x)=x^2-14

g(x)=9-x

Find g(6)

\(\\ \sf\longmapsto g(6)=9-6=3\)

Now

\(\\ \sf\longmapsto (f-g)(x)=f(g(x))\)

\(\\ \sf\longmapsto f(g(6))\)

\(\\ \sf\longmapsto f(3)\)

\(\\ \sf\longmapsto 3^2-14\)

\(\\ \sf\longmapsto 9-14\)

\(\\ \sf\longmapsto -5\)

Answer:

A is congruent to A, B is congruent to D, and C is congruent to E

Step-by-step explanation:

If ABC is congruent to ADE, then that means both triangles angles are congruent in the order they are given in.

(Hopefully you can comprehend what I just explained lol-)

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

Learn more about ratio on:

https://brainly.com/question/2328454

#SPJ1

The evaluation of the forms of the cubic polynomials, indicates that we get;

Question 1; C = -64

Question 2; The polynomial is; f(x) = x³ - 9·x² + 11·x + 21

A cubic polynomial is a polynomial of order three, and which can be expressed in the form; F(x) = A·x³ + B·x² + C·x + D

Question 1;

The specified polynomial can be presented as follows;

F(x) = A·x³ + B·x² + C·x + D

The zeros of the polynomial are;

x = 4, x = 8, and x = -8

Therefore, we get;

The polynomial is; f(x) = (x - 4) × (x - 8) × (x + 8) = x³ - 4·x² - 64·x + 256

Comparison of the polynomial with the function, F(x) = A·x³ + B·x² + C·x + D, indicates that we get;

A = 1, B = -4, C = -64, and D = 256

Therefore; C = -64

Question 2;

The polynomial form is; g(x) = A·x³ + B·x² + C··x + D
The zeros of the polynomial are; x = 3, x = 7, and x = -1

Therefore, we get; f(x) = (x - 3) × (x - 7) × (x + 1) = x³ - 9·x² + 11·x + 21

f(x) = x³ - 9·x² + 11·x + 21

Comparison indicates that we get;
A = 1, B = -9, C = 11, and D = 21

Learn more on polynomials here: https://brainly.com/question/13593857

#SPJ1

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

Read more on parallel lines here: https://brainly.com/question/12783631

#SPJ1

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

for more search question  interval

https://brainly.com/question/20309162

#SPJ8

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

Step-by-step explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula. 

                  The standard deviation of the sampling distribution of the means is 2.656. 

With a new population standard deviation of 2.8, the sampling size, n, is 9. 

Answer:

30min

Step-by-step explanation:

since garden A and garden B are similar so the time it takes to plant garden A is equal to that in gardenB

Answer:

46.4 in ^2

Step-by-step explanation:

We know the area of a rectangle is found by

A = l*w  where l is the length and w is the width

A = 14.5 * 3.2

A = 46.4 in ^2

ax^2+ bx +x =0

3)

f(x)=-2x^2+6x-8

a= -2

b= 6

c= -8

Apply discriminant formula:

b^2-4ac

Replace:

6^2-4 (-2)-8

36-64

-28

Discriminant = -28

Since the discriminant is less than 0 it has 0 real roots. than

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

All you have to do to identify the number of terms in a polynomial is to count the number of separate parts in the polynomial separated by a plus or minus (terms)

Step-by-step explanation:

Answer:

Feet / per second

4 feet/per second

Step-by-step explanation:

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

Answer:

21 miles

Step-by-step explanation:

That is just the answer I got.

Answer:

21

Step-by-step explanation:

Answer:

(0,5) (-5,0) (-5,10) (-10,5)

Step-by-step explanation:

Answer:

The p-value is;

d. 0.00131

Step-by-step explanation:

The given question parameters are;

                                                     Company A   \({}\)                       Company B

Sample size                                   80\({}\)                                         60

Sample mean   \({}\)                            \(\overline x_1\) $16.75                            \(\overline x_2\) $16.25

Population standard deviation \({}\)   σ₁  $1.00                           σ₂ $0.95

\(z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}}\)

Therefor, we have;

\(z=\dfrac{(16.75-16.25)-(0-0)}{\sqrt{\dfrac{1^{2} }{80}+\dfrac{0.95^{2}}{60}}} \approx 3.0128\)

The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131

The probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

Here, we have to solve the question:

To calculate the probability that a randomly selected part-time student has a gym membership, we need to use conditional probability. Specifically, we need to use Bayes' theorem

P(Gym Membership | Part-Time) = P(Part-Time | Gym Membership) * P(Gym Membership) / P(Part-Time)

Where:

P(Gym Membership | Part-Time) is the probability that a student has a gym membership given that they are part-time.

P(Part-Time | Gym Membership) is the probability that a student is part-time given that they have a gym membership.

P(Gym Membership) is the overall probability of a student having a gym membership (regardless of whether they are full-time or part-time).

P(Part-Time) is the overall probability of a student being part-time (regardless of whether they have a gym membership).

Let's start by filling in the values we know from the table:

P(Part-Time) = (40 + 25) / 155 = 0.5484

P(Gym Membership) = (30 + 25) / 155 = 0.3226

P(Part-Time | Gym Membership) = 25 / (30 + 25) = 0.4545

To find P(Gym Membership | Part-Time), we need to calculate P(Part-Time and Gym Membership). We can use the formula:

P(Part-Time and Gym Membership) = P(Part-Time | Gym Membership) * P(Gym Membership)

Plugging in the values we know, we get:

P(Part-Time and Gym Membership) = 0.4545 * 0.3226 = 0.1463

Now we can use this value, along with P(Part-Time) and P(Gym Membership), to calculate P(Gym Membership | Part-Time):

P(Gym Membership | Part-Time) = 0.1463 / 0.5484 ≈ 0.2667

Therefore, the probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

To know more about probability visit :-

brainly.com/question/13604758

#SPJ1

complete question:

a group of 155 students at a private university were asked if they are full-time or part-time and if they have gym memberships. the results are shown in the table below. given that a randomly selected survey participant is part-time, what is the probability that this student has a gym membership?

Solution

a)

b)

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

For more such questions on subset

https://brainly.com/question/13458417

#SPJ8

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

Learn more about greatest common factor:

https://brainly.com/question/219464

#SPJ1

The circumference of the circle will be 56.52 m.

And, The area of a circle will be 254.34 m².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The radius of circle = 9 m

Now,

Since, The area of circle = πr²

Hence, The area of circle = 3.14 × 9²

                                        = 3.14 × 81

                                        = 254.34 m²

And, The circumference of the circle = 2πr

                                                         = 2 × 3.14 × 9

                                                         = 56.52 m

Thus, The circumference of the circle will be 56.52 m.

And, The area of a circle will be 254.34 m².

Learn more about the circle visit:

https://brainly.com/question/1294687

#SPJ1