What is the slope of the line in the graph below

Answer:

Step-by-step explanation:

Answers can all be found on the picture. By copying and pasting another triangle over the existing one to form a rectangle:

The length of the rectangle is 13 units.

The width of the rectangle is 2 units.

The area of the rectangle is 26 square units.

The area of the triangle is half the area of the rectangle, so the area of

the triangle is 13 square units.

Take one box as 1 unit

Area of the rectangle:-

Area of triangle=1/2(26)=13 units^2

Answer:

10

Step-by-step explanation:

because

14/2+3=10 this is the explanation

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: 12

The answer to this equation would be 12, I hope this helps.

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

Answer:

y + 2 = 6(x - 3)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

Simply plug in your known variables into the point-slope form to find your equation:

y₁ = 2

x₁ = -3

m = 6

y + 2 = 6(x - 3)

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

For such more questions on Kit Volume Correction

https://brainly.com/question/22971212

#SPJ8

The required equation of the line with slope 1/3 is y = 1/3x + 1 shown in the graph B. Option B is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Locate two points on each graph and put the values of the points in the following formula of the slope,

M = (y₂ - y₁) /  (x₂ - x₁)

So, in the graph B we have point (-3,0) and (0, 1)

So slope will be,
m =  1 - 0 / 0 + 3
m = 1/3

Thus, the required equation of the line with slope is y = 1/3x + 1.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Joanne has to pay monthly membership fees = $24.72 per month

And registration fee = $49.95

Here,

The given expression is 24.72 m + 49.95

Joanne has to pay registration fee as well as monthly membership.

And, m denotes the number of months.

We have to explain the different part of given expression.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Now,

The given expression is ;

⇒ 24.72 m + 49.95

Joanne has to pay registration fee as well as monthly membership.

Where, m denotes the number of months.

From the expression;

⇒  24.72 m + 49.95

We can see that,

Joanne has to pay monthly membership fees = $24.72 per month

And registration fee = $49.95

To learn more about linear expression visit:

https://brainly.com/question/12788590

#SPJ2

9514 1404 393

Answer:

  64 degrees

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between triangle sides and trig functions. Here, the marked sides are opposite and adjacent to the marked angle, so the relevant relation is ...

  Tan = Opposite/Adjacent

  tan(θ) = 29/14

To find the angle measure, we use the inverse function. It may be called tan⁻¹ on your calculator. It also goes by the name "arctangent." The term "arctan" can be thought of, or even pronounced as, "the angle whose tangent is ...".

  θ = arctan(29/14) = 64.23°

The measure of angle θ is about 64°.

_____

Additional comment

The default units for angle measure are radians in most spreadsheets and on-line calculators. You need to make sure your hand-held calculator mode is set to give angles in the units you want. Here, we've given the angle in degrees, which is usually what is expected in problems like this.

Answer:

Step-by-step explanation:

subtracting 3 from x shifts the graph right 3 units.

adding the constant 5 shifts the graph up by 5 units.

Answer:

C=21.99mm

Step-by-step explanation:Hope this helps!

The true statement about the graphed function is:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

More can be learned about the signal of a function at https://brainly.com/question/25638609

#SPJ1

Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

The value of the side y is 3√3. Option C

It is crucial to note the different types of trigonometric identities.

They are;

From the diagram shown, we have that;

The angle θ = 60 degrees

The opposite side = y

The adjacent side = 3

Let's use the tangent identity

tan 60 = y/3

Find the value

√3 = y/3

cross multiply

y = 3√3

Hence, the value is 3√3

Learn about trigonometric identity on:

https://brainly.com/question/7331447

#SPJ1

I ran it through a calculator and the answer it gave was "Yes"

Step-by-step explanation:

Find attached to this answer the diagram of the Quadrilateral

Question:

If ABCD is a parallelogram, AD = 14, EC = 11, m∠ABC = 64°, m∠DAC = 71°, and m∠BDC = 25, find each measure.

a) BC =

b) AC =

c) m∠DAB =

d) m∠ABD =

e) m∠ACD =

f) m∠ADB =​

Answer:

a) BC = 11

b) AC = 22

c) m∠DAB = 116°

d) m∠ABD = 39°

e) m∠ACD = 45°

f) m∠ADB =​ 25°

Step-by-step explanation:

a) BC

In the question above, EC = 11

We can see that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Quadrilateral.

Hence, In a quadrilateral ABCD,

EC = BC

Hence BC = 11

b) AC

AC is one of the diagonal lines that divided parallelogram ABCD

AC = BC + EC

AC = 11 + 11

AC = 22

c) m∠DAB

m∠ABC = 64°

m∠ADC = 64°

For the two angles above, a diagonal bisects through those angles.

Also the sum of angles in a triangle = 180°

Hence,

180° = 1/2m∠ABC + 1/2m∠ADC +

m∠DAB

m∠DAB = 180° - ( 1/2 (64) + 1/2(64))

m∠DAB = 180 ° - 64°

m∠DAB = 116°

d) m∠ABD

Since,

m∠ABC = 64° and m∠BDC = 25

m∠ABC = m∠BDC + m∠ABD

64 = 25+ m∠ABD

m∠ABD = 64° - 25°

m∠ABD = 39°

e) m∠ACD

In the above question,

m∠ABC = 64°,

m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral are congruent and equal to each other.

Hence, m∠ADC = 64°

m∠DAC = 71°,

In a triangle , all the angles in a triangle = 180°

Hence,

180° = m∠DAC + m∠ADC + m∠ACD

180° = 71° + 64 ° + m∠ACD

m∠ACD = 180° -(71 + 64)°

m∠ACD = 180° - 135°

m∠ACD = 45°

f) m∠ADB

Since

m∠DAB = 116°

m∠ABD = 39°

The sum of angles in a triangle = 180°

180° = m∠ABD + m∠DAB + m∠ADB

180° = 39 ° + 116° + m∠ADB

m∠ADB = 180° - ( 116 + 39)°

m∠ADB = 25 °

a) BC = 11

b) AC = 22

c) m∠DAB = 116°

d) m∠ABD = 39°

e) m∠ACD = 45°

f) m∠ADB =​ 25°

Given : AD=14 , EC=11, m∠ABC= 64°, m∠DAC=71° and m∠BDC=25°

To find:  BC =?  , AC =? , m∠DAB =?, m∠ABD =?  ,m∠ACD =?  ,m∠ADB =​?

Consider the figure given below ABCD is a parallelogram

To find a) BC

Given, EC = 11

As seen in figure that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Parallelogram.

Hence, In a Parallelogram ABCD,

EC = BC

Hence BC = 11

To find b) AC

AC is one of the diagonal lines that divided parallelogram ABCD

AC = BC + EC

AC = 11 + 11

AC = 22

To find c) m∠DAB

Given, m∠ABC = 64°

m∠ADC = 64°

(For the two angles above, a diagonal bisects through those angles)

Also From Angle sum property;

Hence,

180° = 1/2m∠ABC + 1/2m∠ADC +  m∠DAB

m∠DAB = 180° - ( 1/2 (64) + 1/2(64))

m∠DAB = 180 ° - 64°

m∠DAB = 116°

To find d) m∠ABD

Since,

m∠ABC = 64° and m∠BDC = 25  

m∠ABC = m∠BDC + m∠ABD

64 = 25+ m∠ABD

m∠ABD = 64° - 25°

m∠ABD = 39°

To find e) m∠ACD

Given,  m∠ABC = 64°;

m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral (here parallelogram) are congruent and equal to each other

Hence, m∠ADC = 64°

m∠DAC = 71°,

In a triangle , all the angles in a triangle = 180°(Angle sum property)

Hence,

180° = m∠DAC + m∠ADC + m∠ACD

180° = 71° + 64 ° + m∠ACD

m∠ACD = 180° - (71 + 64)°

m∠ACD = 180° - 135°

m∠ACD = 45°

To find f) m∠ADB

Since  ,m∠DAB = 116°  and m∠ABD = 39°

From Angle sum property;

180° = m∠ABD + m∠DAB + m∠ADB

180° = 39 ° + 116° + m∠ADB

m∠ADB = 180° - ( 116 + 39)°

m∠ADB = 25 °

Learn more:

https://brainly.com/question/23163052

Answer:

3(1/3x+8)=11

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

Since the three portfolios are 20%, 30% and 50%, and the 20% and 30% are already there in the form of 0.2 and 0.3, then Z must be the 50%, or 0.5

The probability of pulling a spade or a four of hearts from a randomly shuffled deck is 0.288

To find the probability of pulling a spade or a four of hearts, we need to add the probabilities of pulling a spade to the probability of pulling a four of hearts and then subtract the probability of pulling both cards, which were included in both probabilities.

So, the probability of pulling a spade or a four of hearts can be calculated as

P(spade or four of hearts) = P(spade) + P(four of hearts) - P(spade and four of hearts)

P(spade or four of hearts) = 1/4 + 1/52 - (1/4 × 1/52)

Do the arithmetic operation

P(spade or four of hearts) = 0.288

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

9

Step-by-step explanation:

Answer: 12 free throws

Step-by-step explanation: This problem can be solved using proportions or a table.

For every 2 minutes, theres 3 free throws.

For every 4 minutes, theres 6 three throws

For every 6 minutes, theres 12 free throws.

Multiplying twice for each number.

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

For more such questions on  relative frequency  visit:

https://brainly.com/question/3857836

#SPJ8

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525

#SPJ1

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

For more questions on: diameter

https://brainly.com/question/30460318

#SPJ8  

Answer:1.5

Step-by-step explanation:

Y=1/2 of x

Based on the calculations, the features which are features of the circle include the following:

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Given the following equation:

x² + 4x + y² - 2y - 4 = 0

x² + 4x + y² - 2y = 4

Next, we would evaluate the equation by using completing the square method:

x² + 4x + 4 + y² - 2y + 1 = 4 + 5

(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9

(x + 2)² + (y - 1)² = 3²

By comparing the above equation with the standard form of the equation of a circle, we have:

Read more on equation of a circle here: https://brainly.com/question/24810873

#SPJ1

The distance travelled by the car accelerating from 0 to 50 m/s in 9 s is 225 m

An equation is an expression showing the relationship between two or more numbers and variables.

Newton law of motion is given by:

s = [(v + u)/2]t

Where s is the distance covered, v is the final velocity, u is the initial velocity and t is the time.

A car accelerated from 0 to 50 m/s in 9 s. Hence:

v = 50 m/s, u = 0 m/s and t = 9 s.

Substituting:

s = [(50 + 0)/2] * 9 = 225 m

The distance travelled is 225 m

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Given the quadratic equation expressed as:

Factor out 3 from the expression

Complete the square of the expression in bracket

Since the vertex form of a quadratic equation is in the form f(x) = a(x-h)^2+k where (h, k) is the vertex.The vertex of the resulting function is (2/3, -4/3)