continuity, for the function, determine why the function is discontinuous

Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

The required parametric vector form of the given linear System of Equation solution is given by x1 = (3 + 2t)/2 , x2 = t , x3 = (3 - 2t)/2.

System of linear equations is equals to,

x1 + 2x2 + 3x3 = 6

4x1 + 5x2 + 6x3 = 15

In augmented matrix as,

\(\left[\begin{array}{cccc}1&2&3|6\\4&5&6 |15\\\end{array}\right]\)

Use row operations to transform the augmented matrix into row echelon form or reduced row echelon form,

To get the solutions to the system of equations.

Using row operations,

Subtract four times the first row from the second row to get,

\(\left[\begin{array}{cccc}1&2&3|6\\0&-3&-6 |-9\\\end{array}\right]\)

Further simplify the matrix by dividing the second row by -3,

\(\left[\begin{array}{cccc}1&2&3|6\\0&1&2 |3\\\end{array}\right]\)

Now, use back substitution to solve for the variables.

Starting from the last equation, we have,

2x3 = 3 - x2

Substituting this into the first equation, we have,

x1 + 2x2 + 3(3 - 2x2)/2 = 6

⇒2x1 + 4x2 + 9 - 6x2 = 12

⇒ 2x1 - 2x2 = 3

⇒x1 = (3 + 2x2)/2

Solution of the system of equations in parametric vector form is,

x1 = (3 + 2t)/2

x2 = t

x3 = (3 - 2t)/2

where t is any real number.

Therefore, the parametric vector form of the system of equation is equal to x1 = (3 + 2t)/2 , x2 = t , x3 = (3 - 2t)/2.

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The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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The post-neonatal mortality rate for the year is 1.1×10⁻⁷.

The post-neonatal mortality rate in a year is applicable when the death day lies between 28 and 364. First, divide the number of post-neonatal deaths by the number of live births. Then multiply the obtained value by 1000 to get the post-neonatal mortality rate.

It is known that 1 billion units = 10⁹ units. So, 20 billion live births will be 20×10⁹ live births. Also, the number of post-neonatal deaths is 2200.

So, use the formula, post-neonatal mortality rate = (the number of post-neonatal deaths)/(the number of live births).

post-neonatal mortality rate = 2200/(20×10⁹)

= 110×10⁻⁹

= 1.1×10⁻⁷

Therefore, the obtained answer is 1.1×10⁻⁷.

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Answer: 22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Don't worry, don't worry child. Oh, geometry. How lucky are you: finally knowing this treasury of humanity. I'm jealous now. Haha.

In the annex, you can see what is happening :)

Look that, if a and b are paralels, 4x + 28 is External Alternate of the Opposite Vertex of 116, which is also 116. Then, they have the same value: 4x + 28 = 116.

If you don't remember those concepts, review the initial part of geometry. The proof of that is quite simply, moreover is easy to mentally deduce that.

Answer:

B. 113 cm^3

Step-by-step explanation:

Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:

Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.

Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.

Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.

Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.

Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.

For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.

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If angle ACD is congruent to angle BCD, then angle CAD is congruent to angle DBC as both triangles are right triangles. We know that the triangles share side CD. We also know that angle ACD is congruent to angle BCD and angle CDA is congruent to CDB. Then, we can prove that both triangles are congruent using the ASA theorem. The answer would be the option D.

Answer:

x=5

Step-by-step explanation:

2(x−1)/4=2(x+8)/13

Step 1: Cross-multiply:

2(x−1)*(13)=2(x+8)*(4)

26x−26=8x+64

Step 2: Subtract 8x from both sides.

26x−26−8x=8x+64−8x

18x−26=64

Step 3: Add 26 to both sides.

18x−26+26=64+26

18x=90

Step 4: Divide both sides by 18.

18x/18= 90/18

x=5

~Hope this helps~

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\ \)

\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)

\( \tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\ \)

Cross multiply the equations on both sides.

\( \tt13\times 2\left(x-1\right)=4\times 2\left(x+8\right) \)

Multiply 13 and 2 to get 26.

\( \tt26\left(x-1\right)=4\times 2\left(x+8\right) \)

Use the distributive property to multiply 26 by x-1.

\( \tt26x-26=4\times 2\left(x+8\right) \)

Multiply 4 and 2 to get 8.

\( \tt \: 26x-26=8\left(x+8\right) \)

Use the distributive property to multiply 8 by x+8.

\( \tt \: 26x-26=8x+64 \)

Subtract 8x from both sides.

\( \tt \: 26x-26-8x=64 \)

Combine 26x and -8x to get 18x.

\( \tt \: 18x-26=64 \)

Add 26 to both sides.

\( \tt \: 18x=64+26 \)

Add 64 and 26 to get 90.

\( \tt \: 18x=90 \)

Divide both sides by 18.

\( \tt \: x=\frac{90}{18} \\ \)

Divide 90 by 18 to get 5.

\( \boxed{ \boxed{ \bf \: x=5 }}\)

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

The measure of angle C is,

⇒ x = 22°

We have to given that,

In a triangle ABC,

Angle A = 65 degree,

Angle B = 93 degree.

Now, Let us assume that,

Measure of angle C = x

Hence, We get;

⇒ ∠A + ∠B + ∠C = 180°

Substitute all the values,

⇒ 65 + 93 + x = 180

⇒ 158 + x = 180

⇒ x = 180 - 158

⇒ x = 22

Therefore, The measure of angle C is,

⇒ x = 22°

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Complete question is,

In Triangle ABC, Angle A = 65 degree, B=93 degree. Find Angle C​?

Answer:

2,044

Step-by-step explanation:

S9=G1 (1r^n)/1-r

G9=G1r^8, r=2

S9=(4)(-511)/-1=2,044

Answer: 2,044

Step-by-step explanation:

I just took the quiz!

The equation that would be used to find the angle needed to travel 150 meters is 150 = 197.55 sin (2θ).

option D.

The equation that would be used to find the angle needed to travel 150 meters is calculated as follows;

h = (v₀²/4.9) sinθcosθ

where;

Substitute the value of v₀ in the given equation;

h = (44²/4.9) sinθcosθ

h = 395.1 sinθcosθ

In trig identity, 2sinθcosθ = sin (2θ)

h = ¹/₂ [395.1 (2sinθcosθ)]

h = ¹/₂ [395.1 sin (2θ)]

h = 197.55 sin (2θ)

150 = 197.55 sin (2θ)

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Using the normal distribution, the z-scores are given as follows:

a) Z = 2.8.

b) Z = 2.8.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Item a:

The parameters are:

\(\mu = 15, \sigma = 2.5\)

Hence the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{22 - 15}{2.5}\)

Z = 2.8.

Item b:

The parameters are:

\(\mu = 38.1, \sigma = 6.35\)

Hence the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55.88 - 38.1}{6.35}\)

Z = 2.8.

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Answer:

see below

Step-by-step explanation:

V = Bh where B is the area of the base and h is the height

Divide each side by h

V/h = Bh/h

V/h = B

36/6 = B

6 = B

The area of the base is 6 in^2

y=0.002x² +0.15x + 2 and y=x set best models the point of intersection of the arrow and the target because it accounts for the fact that the arrow is travelling in a parabolic arc, while the target is located on a straight line.

A parabolic arc is defined by its vertex, focus, and directrix. The arc can be used to describe the trajectory of a projectile, the shape of a satellite dish, or the shape of some suspension bridges.

The equation y=0.002x² +0.15x + 2 models the parabolic arc of the arrow's trajectory and the equation y=x models the straight line of the target.

This equation set is the only one that correctly models both the parabolic arc of the arrow and the straight line of the target.

To better understand why this equation set is the correct answer, let's look at the other equation sets.

The equation set y=-0.002x²+0.15x+2 and y=-x does not work because the equations do not model a parabolic arc and a straight line, respectively.

The equation set y=0.002x²+0.15x + 2 and y=0,2x does not work because the second equation, y=0.2x, does not model a straight line, but rather a line with a slope of 0.2.

Finally, the equation set y=-0.002x² +0.15x+2 and y = 0.2x does not work because the first equation, y=-0.002x² +0.15x+2, does not model a parabolic arc.

Therefore, the equation set y=0.002x² +0.15x + 2 and y=x is the correct answer because it is the only equation set that accurately models both the parabolic arc of the arrow and the straight line of the target.

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Step-by-step explanation:

x+45=180 [v.o.a]

x=180-45

.°.x=95

y+90=180°[v.o.a]

y=180-90

.°.y=90

Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer:

x=90°

Step-by-step explanation:

Too much work............. ....

Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for \(f(x) = 3 - \dfrac{1}{2}x\) from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

\(L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x\)

where:

\(\Delta x = \dfrac{b-a}{a}\)

a = 2

b =14

n = 6

∴

\(\Delta x = \dfrac{14-2}{6}\)

\(\Delta x = \dfrac{12}{6}\)

\(\Delta x =2\)

Hence;

\(x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i\)

Here, we are  using left end-points, then:

\(x_i-1 = 2+ 2(i-1)\)

Replacing it into Riemann equation;

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i\)

Estimating the integrals, we have :

\(= 6n - 2 ( \dfrac{n(n-1)}{2})\)

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

The inequality that represents the constraint faced by Leo in needing to score at least 83 points is 5 c + 8 a ≥ 83.

Let's first find the total number of computation and application problems that Leo needs to answer correctly to score at least 83 points on the test.

Let c be the number of computation problems that Leo answers correctly, and let a be the number of application problems that he answers correctly.

Total points is therefore :

= 5 c + 8 a

To maintain his B average, Leo needs to score at least 83 points on the test. Therefore, we can add the inequality part to make it:

5 c + 8 a ≥ 83

This shows that Leo needs to score either 83 points or above that in the test.

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Step-by-step explanation:

(6×5)+(8×2)=46

92℅=46points

100℅=x

criss cross

92℅x=46

92℅. 92℅

and this is the answer

Answer:

50 Points Total

Step-by-step explanation:

You only got 92% right on the test to that means you missed some questions. So 6x5=30, 18x2=16, 16=30=46 100%-92%=8%, 8%=4 points.

Answer:

You paid $8.06

Step-by-step explanation:

3.25 pounds times $2.48 per pound is 8.06.

Can I have brainliest pls :D

Hope this helps

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Thus, the scale factor from circle A to circle B is found to be 2.

The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

You must first choose which direction we are scaling in order to determine the scale factor:

The radius of circle A = 2 units

The radius of circle B = 4 units.

So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.

Thus, the scale factor from circle A to circle B is found to be 2.

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The distance covered by the car in 8 seconds of the journey is 100 meters.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

Velocity (m/s) = 20, 15, 10, 5, 0

Calculate the distance as shown below,

\(Distance = velocity \times time\)

Distance = 0 × 20 + 15 × 2 + 10 × 4 + 5 × 6 + 0 × 8

Distance = 0 + 30 + 40 + 30 + 0

Distance = 100 meter

Thus, the distance covered by the car is 100 meters.

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Answer:

D(30,60)

Step-by-step explanation:

It was way outside the other points that are around the line.

The point (30,60) is a high leverage point on the regression plot.

High leverage points are those that are extreme but follow the regression equation's trend.

High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.

Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.

Hence, the point (30,60) is a high leverage point on the regression plot.

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