write the equation of a line in slope intercept form that has a slope of 1/2 and passes through the point (-2,3)

Answer:

(-3,3)

Step-by-step explanation:

Point (-3,3) is inside QRS

I hope this helps!! Let me know if you need anymore help

Answer:

14014

Step-by-step explanation:

base of stone pyramid=154

height=91

b×h

154×91=4014

Answer:

A

Step-by-step explanation:

1/4 is the required answer.

hope it helps u and keep smiling :)

Answer:

the answer is 40 inches

Step-by-step explanation:

8x5=40

To find the correct reading that should be displayed on the gas pump's meter after Greg bought 19(11)/(16) gallons of gas we can use the concept of the decimal representation of fractions.

The decimal representation of 19(11)/(16) is:

19(11)/(16) = 19 + 11/16 = 304/16 + 11/16 = 315/16= 19.6875

The decimal number is 19.6875.

What is a decimal number?

Decimal number refers to a number that has the tenths, hundredths, and thousandths place to the right of the decimal point. It represents a part of the whole number and is not a whole number itself. A decimal number has a whole number part and a fractional part.

In decimal notation, fractions with denominators that are powers of 10 have a finite number of decimal places, whereas fractions with denominators that are not powers of 10 have repeating decimal places or are irrational.

To know more about decimal representation of fractions refer here:

https://brainly.com/question/19840858

#SPJ11

The equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

The equation of the plane that passes through points (1, 1, 1), (2, 0, 3), and (-1, 4, 2) can be found using the point-normal form of the equation of a plane.

To find the normal vector of the plane, we can take the cross product of two vectors formed by the given points. Let's call the vectors formed by (1, 1, 1) and (2, 0, 3) as vector A, and the vectors formed by (1, 1, 1) and (-1, 4, 2) as vector B.

Vector A = (2-1, 0-1, 3-1) = (1, -1, 2)
Vector B = (-1-1, 4-1, 2-1) = (-2, 3, 1)

Now, taking the cross product of A and B, we get the normal vector of the plane:
Normal vector = A x B = (1, -1, 2) x (-2, 3, 1) = (-1, -5, -5)

Using the normal vector and one of the given points (let's use (1, 1, 1)), we can write the equation of the plane as:
-1(x - 1) - 5(y - 1) - 5(z - 1) = 0

Simplifying the equation, we get:
-x - 5y - 5z + 11 = 0

So, the equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

To know more about equation refer here:

https://brainly.com/question/33722071

#SPJ11

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

Learn more about distributive property here

brainly.com/question/11916234

#SPJ4

Answer:

Radius=7.5cm

Diameter=15cm

Step-by-step explanation:

The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.

HOPE THAT HELPS AND MAKES SENSE! :)

Answer:

Step-by-step explanation:

If all the pencils together weigh 112 g and one rolls off and the new weight is 105 g, then one pencil weighs 7 g.  Therefore, the weight of 7 pencils will be

7 pencils * 7g/pencil = 49 g

Both trains will leave the station together again at 7:12 am if both of them left the station together at 6:30 am.

To find at what time will both trains leave the station together again if both of them left the station together at 6:30 am:

Therefore, both trains will leave the station together again at 7:12 am if both of them left the station together at 6:30 am.

Know more about LCM here:

https://brainly.com/question/233244

#SPJ4

In unit-vector notation, the sum of a= \(5.2 \ \boldsymbol{\hat{i}}+1.4\ \boldsymbol{\hat{j}}\) and b= \(-12.0\ \boldsymbol{\hat{i}}+6.8\ \boldsymbol{\hat{j}}\) is \(-6.8\ \boldsymbol{\hat{i}}+8.2\ \boldsymbol{\hat{j}}\), the magnitude of a+b is 10.65m and the direction of a+b relative to \(\hat{i}\) is \(-50^\circ\).

a) To find the sum of a+b, follow these steps:

b) To find the magnitude of a+b, follow these steps:

c) To find the direction of a+b relative to \(\boldsymbol{\hat{i}}\), follow these steps:

Learn more about unit-vector notation:

brainly.com/question/29171439

#SPJ11

The probability of selecting two socks of same color is 0.96.

According to the given question.

Total number of green socks = 4

Total number of yellow socks = 6

So, the total number of socks in a drawer = 4 + 6 = 10

Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.

So, the probability of selecting a green scoks = 4/10 = 2/5

And the probability of selecting a yellow socks = 6/10 = 3/5

Therefore, the probability of selecting two socks of same color

= probability of selecting both the green socks or probability of selecting both the yellow socks

= [( 2/5) + (2/5)] × [(3/5)+(3/5)]

= (4/5) × (6/5)

= 24/25

= 0.96

Hence, the probability of selecting two socks of same color is 0.96.

Find out more information about probability here:

https://brainly.com/question/23345093

#SPJ4

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

To learn more about proportion visit:

https://brainly.com/question/21570782

#SPJ9

Answer:

sin(5607) = 0.67641680533

sin(506)  = -0.202179403335

sin(702)  = -0.989367016834

sin(803) = -0.948263002181

sin(562) =  0.33827666045

Step-by-step explanation:

put sin into a calculator and then put in the number

hope this helps! :)

Answer:

69.444% is percentage of 25:36

The derivative of y = (5x6 − 3x4 + 2x2 − 1)(4x9 + 3x7 − 5x2 + 4x) is (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4).

Using the product rule of differentiation, we have:

y' = (5x^6 - 3x^4 + 2x^2 - 1)'(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(4x^9 + 3x^7 - 5x^2 + 4x)'

Taking the derivative of the first term using the power rule, we get:

(5x^6 - 3x^4 + 2x^2 - 1)' = 30x^5 - 12x^3 + 4x

Taking the derivative of the second term using the product rule, we get:

(4x^9 + 3x^7 - 5x^2 + 4x)' = 36x^8 + 21x^6 - 10x + 4

Therefore, we have:

y' = (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4)

To learn more about derivative here:

https://brainly.com/question/25324584

#SPJ4

the cumulative incidence of depression over the 4-year study period is 264 per 1,000 individuals.

To calculate the cumulative incidence of depression over the 4-year study period, we need to determine the number of individuals who developed depression (symptoms of depression) during that period. In this case, the individuals who reported at least one depressive symptom at follow-up (n = 792) are considered to have developed depression.

The cumulative incidence can be calculated by dividing the number of individuals who developed depression (792) by the total number of individuals in the study (3,000) and then multiplying by 1,000 to express it per 1,000 individuals.

Cumulative Incidence = (Number of individuals with depression / Total number of individuals) * 1,000

Cumulative Incidence = (792 / 3,000) * 1,000

Cumulative Incidence = 0.264 * 1,000

Cumulative Incidence = 264

To know more about number visit:

brainly.com/question/3589540

#SPJ11

The correct answer is the parent must deposit $100,000 now in order to attain the goal of $100,000 in 9 years.

To determine the constant, continuous rate at which the parent must deposit money into the investment account, we can use the formula for continuous compound interest:

\(A = P * e^(rt)\)

Where:

A = Final amount ($100,000)

P = Initial principal (amount to be deposited)

r = Interest rate (unknown)

t = Time in years (9 years)

Solving for the interest rate (r), we have:

r = (1/t) * ln(A/P)

Plugging in the given values, we get:

r = (1/9) * ln(100000/P)

To find the amount to be deposited per year, we need to solve for P. Rearranging the formula, we have:

P = A /\(e^(rt)\)

Substituting the values, we get:

P = 100000 / \(e^(r*9)\)

To find the lump sum that must be deposited now to reach $100,000 in 9 years, we can use the same formula:

P = A / \(e^(rt)\)

Substituting the values, we get:

P = 100000 /\(e^(r*9)\)

To find the value of P, we need to solve for it by substituting the interest rate (r) obtained from the previous calculation.

Learn more about compounded  here:

https://brainly.com/question/24274034

#SPJ11

This result is approximate.

=========================================================

Explanation:

mu = 750 = mean

sigma = 75 = standard deviation

The raw scores or x values are x = 750 and x = 825

Let's compute the z score for each x value

z = (x - mu)/sigma

z = (750 - 750)/75

z = 0

and

z = (x - mu)/sigma

z = (825 - 750)/75

z = 1

Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.

Use a z score table to determine that

P(z ≤ 0) = 0.5

P(z ≤ 1) = 0.84314 approximately

So,

P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)

P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)

P(0 ≤ z ≤ 1) = 0.84314 - 0.5

P(0 ≤ z ≤ 1) = 0.34314 approximately

The value 0.34314 then converts to 34.314% which rounds to 34%

Or you could use the empirical rule as shown below. The pink section on the right is marked 34% which is approximate. This pink section is between z = 0 and z = 1.

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

Answer:     a1=1/2;an=-4an-1

Step-by-step explanation: The last one

The  ΔVTU and ΔCAB  are congruent by AAS congruency criterion. Option (a) is correct.

What are the types of congruency rule ?

The congruent triangles are those in which all the corresponding angles and the sides are equal.

There are many congruency rules and are as follows.

1. Angle Angle Side (AAS)

2. Angle Side Angle (ASA)

3. Side Side Side (SSS)

4. Side Angle Side (SAS)

In  ΔVTU and ΔCAB

∠UVT=∠BCA

∠VTU = ∠CAB

AB = TU

AVT≅ ACAB (AAS congruency)

The ΔVTU and ΔCAB  are congruent by AAS congruency criterion. Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more about AAS congruency rule from the link below

https://brainly.com/question/7727792

#SPJ4

The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

To know more about total price,

https://brainly.com/question/26976946

#SPJ11

Answer:

\(\int\limits^1 _\frac{1}{2} {\frac{-1}{u} } \, du\)

General Formulas and Concepts:

Pre-Algebra

Calculus

Step-by-step explanation:

Step 1: Define

\(\int\limits^\frac{-\pi}{2} _\frac{-2\pi}{3} {\frac{sin(x)}{1+cos(x)} } \, dx\)

Step 2: Evaluate

Step 3: Evaluate Further

Answer:

Step-by-step explanation:

An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.

To  learn more about isosceles triangle:

https://brainly.com/question/29774496?referrer=searchResults

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families  

          0                                                          2

          1                                                           3

          2                                                          4

          3                                                           1

          4                                                           2

          5                                                           1

          6                                                            1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

   Hence,  Four families said they ate out twice the previous week.

Also there is one dot above 5.

       Hence,  One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

Answer: The data is skewed left option c

Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.

Answer:

None

Step-by-step explanation:

If 1/3 is left every hour  then it would  then after 3 hours wouldn't it be gone? Most would assume if only a third of the water is left every hour then after three hours there would be either of two answers if the question was written correctly: one third because they refilled it on the 2nd hour or none because it wouldn't even last two hours

An indication that the normality condition has been met for a t-test for the slope of a regression model would be a residual plot with no apparent pattern in the residuals and a histogram of the residuals that is centered at 0, unimodal, and symmetric.

The correct option is I and II only.

I. A residual plot with no apparent pattern in the residuals: A residual plot that shows no discernible pattern in the residuals suggests that the errors are randomly distributed and do not follow a systematic pattern. This is consistent with the assumption of normality.

II. A histogram of the residuals that is centered at 0, unimodal, and symmetric: A histogram of the residuals that is centered around 0, has a single peak (unimodal), and is symmetric indicates that the residuals follow a normal distribution.

To know more about normality condition refer here:

https://brainly.com/question/31682094#

#SPJ11