Determine whether f(x) is continuous at x = 1. if discontinuous, identify the type of discontinuity as infinite,
jump, or removable.
ax)={x^2 + 1 if x < 1
{-x^3+2 if x>1
select all that apply.
a the function is discontinuous at x =1.
b. the function is continuous at x =1.
c. infinite discontinuity
d. jump discontinuity
e removable discontinuity

Answer:

the angle is 80° ,, for sure .

Answer:

8/3 < 8/2

D

Step-by-step explanation:

8/3 = 2.67

8/2 = 4

So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.

There is more left if 8 is divided by 2 than when it is divided by 3

[Answer]8/3 < 8/2

[Answer] D

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

\(\orange{ \rule{40pt}{555555pt}}\)

Answer:

4 2/3 hours

Step-by-step explanation:

To find the total number of hours painted, take the number of hours painted each day and multiply by the number of days.

2/3 * 7

14/3

Change to a mixed number.

3 goes into 14 4 times with 2 left over

4 2/3 hours

Answer:

4 2/3

Step-by-step explanation:

Answer:

he owed $4

Step-by-step explanation:

Ben borrowed twenty dollars to spend, and 20 is above 16, so his savings is immediately gone. He owes four dollars because that's how much he needs even after using up his savings.

Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :

1,049(0.2)=$209.8

After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :

$1049-$209.8=$839.2

Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.

To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:

$839.2(5.25%)=$44.058

Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2

$839.2+$44.06=$883.26

The final cost of the computer is $883.26

Answer:

Total after discount $88.20

Step-by-step explanation:

I multiplied 126 by 30 and then divided the answer by 100 to get a $37.80 discount.

The length of side WX in Quadrilateral WXYZ is 3b units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

\(AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \)

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

\(WX=\sqrt{(b-b)^2+(4b-b)^2}=3b \)

The length of side WX in Quadrilateral WXYZ is 3b units.

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Answer:

Step-by-step explanation:

If k is the number of classes and n is the number of observations, then for number of classes we should select the smallest k such that 2^k > n.

We have n = 50 and:

As per above described 2 to k rule, we are taking k = 6.

So 6 classes should be used.

The numeric value of the perimeter of the square with a side length of 12.0 m is 48.0 m. A square is a four-sided polygon where each side has the same length. It is an important geometry shape and finds its application in a variety of mathematical concepts.

Given that, Length of one side of a square is 12.0 m

Perimeter of a square is given by the formula:

Perimeter of a square = 4 × Side

Length: Putting the value of side length as 12.0 m, Perimeter of the square = 4 × 12.0 m= 48.0 m

Therefore, the numeric value of the perimeter of the square with a side length of 12.0 m is 48.0 m. A square is a four-sided polygon where each side has the same length. It is an important geometry shape and finds its application in a variety of mathematical concepts. The perimeter of a square is the total distance around it, which is equal to the sum of all its sides. In order to calculate the perimeter of a square, we need to know the length of its sides. Once we know the length of one side of the square, we can easily calculate the perimeter by multiplying it by 4. In this question, the length of one side of the square is given to be 12.0 m. So, the perimeter of the square can be calculated by using the formula P = 4S, where P is the perimeter of the square and S is the length of one side of the square. By substituting the given values, we get P = 4 × 12.0 m = 48.0 m. Therefore, the perimeter of the square with a side length of 12.0 m is 48.0 m.

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Once we find Q(t), we can substitute it back into the expression for y_p(t) to get the particular solution of the differential equation.

To find a particular solution of the differential equation y(4) − y = g(t), we can use the method of undetermined coefficients. This method assumes that the particular solution has the same form as the forcing function g(t).

Let's assume that the forcing function is of the form g(t) = P(t)e^t, where P(t) is a polynomial. Then, we can guess that the particular solution is of the form y_p(t) = Q(t)e^t, where Q(t) is also a polynomial.

Now, let's find the derivatives of y_p(t):

y_p(t) = Q(t)e^t

y'_p(t) = (Q'(t) + Q(t))e^t

y''_p(t) = (Q''(t) + 2Q'(t) + Q(t))e^t

y'''_p(t) = (Q'''(t) + 3Q''(t) + 3Q'(t) + Q(t))e^t

y''''_p(t) = (Q''''(t) + 4Q'''(t) + 6Q''(t) + 4Q'(t) + Q(t))e^t

Substituting these derivatives into the differential equation, we get:

(Q''''(t) + 4Q'''(t) + 6Q''(t) + 4Q'(t) + Q(t))e^t - Q(t)e^t = P(t)e^t

Simplifying and canceling the exponential terms, we get:

Q''''(t) + 4Q'''(t) + 6Q''(t) + 3Q'(t) = P(t)

Now, we can use integration by parts to find a formula for Q(t) in terms of integrals of P(t):

Q(t) = (1/3) ∫∫∫[P(t) - 6Q''(t) - 12Q'(t) - 8Q(t)] dt

We can repeat this process of integration by parts until we get a formula for Q(t) in terms of integrals of P(t) only. Once we find Q(t), we can substitute it back into the expression for y_p(t) to get the particular solution of the differential equation.

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15

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

Now, rewrite this using the information we are given in the question.

Solving For BC

Now, we can solve this equation using the properties of equality.

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

This gives us the answer, 15.

Answer:

Triangle b = 4, h = 7

Step-by-step explanation:

Rectangle area = L*W

Triangle area = (B*H)/2

Rectangle/2 = Triangle

If you want triangle to = rectangle, then rectangle*2/2

Rectangle = 4*3.5 = 14

Triangle = 4*7 = 28/2 = 14

The volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters (cm3) to cubic inches (in3), you need to divide the volume by 16.387. In this case, the calculation would look like this: 8.75 cm3 / 16.387 = 0.534 in3.

Cubic centimeters and cubic inches are two units of volume measurement that are often used in different fields. A cubic centimeter (cm3) is a metric unit of volume equal to a cube with sides that are one centimeter long. A cubic inch (in3) is a unit of volume in the imperial system that is equal to a cube with sides that are one inch long. To convert from one to the other, the above formula must be used.

Converting from cm3 to in3 can be useful in many different fields, including engineering, manufacturing, and construction. For example, if a product is designed to have a certain volume, knowing the volume in both cm3 and in3 can be important. This is because different parts of the world often use different units of measurement.

In conclusion, the volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters to cubic inches, the volume must be divided by 16.387. This can be useful in many different fields, as different parts of the world often use different units of measurement.

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Answer:

Step-by-step explanation:

Formula

Geometric Mean = √(x1*x2)^(1/2)

This is the formula for 2 numbers. You multiply the two givens together and take the square root of the 2 numbers multiplied together. If there were 3 numbers, you would take the cube root.

Givens

x1 = 7

x2 = 20 Put the givens in the formula

Solution

Geometric mean = (7 * 20)^(1/2)

Geometric Mean = (140)^(1/2)

Geometric Mean = 11.83  Rounded.

Answer:

l think

The interior angles of the triangle are all different measures

The square root of (141/46) can be approximated using a calculator. The approximate value is [value], rounded to a reasonable number of decimal places.

To calculate the square root of (141/46), we can use a calculator that has a square root function. By inputting the fraction (141/46) into the calculator and applying the square root function, we obtain the approximate value.

The calculator will provide a decimal approximation of the square root. It is important to round the result to a reasonable number of decimal places based on the level of accuracy required. The final answer should be presented as [value], indicating the approximate value obtained from the calculator.

Using a calculator ensures a more precise approximation of the square root, as manual calculations may introduce errors. The calculator performs the necessary calculations quickly and accurately, providing the approximate value of the square root of (141/46) to the desired level of precision.

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Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

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Answer: 72 inches squared

Step-by-step explanation:

So, the real floor of a classroom is 36 feet by 32 feet.

And the scale drawing, has length of the classroom equal to 9 inches.

What is the area in square inches of the floor in the scale drawing

1 foot = 12 inches

The length of the classroom, measured in feet, has been multiplied by 12, to get converted in inches. After that, it has been divided by a number, a proportion, to get to 9 inches.

36feet * 12 / x = 9 inches

432 inches / x = 9 inches

Now, to solve for x, we can cross-multiply

432 inches = 9x inches

Divide 9 inches on both sides.

x = 48

To solve the exercise, we need to calculate the floor's area in the scale drawing.

We have the length = 9 inches.

Now, let's calculate the width

Width = 32 feet * 12 / 48

Width = 384 inches / 48

Width = 8 inches

Area = Length * Width

Area = 9 inches * 8 inches

Area = 72 inches squared

Hope I helped!

Answer:

0

Step-by-step explanation:

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

a=1 and b=13

do you need the working out?

Answer: =

0.720 is the same as 0.72.

= means equal to.

The answer is =.

Our estimate for f(1.2) is 1.1 which satisfies differential equation.

To find the equation of the tangent line to the curve y = f(x) through the point (1,1), we first need to find the value of f(1) at x = 1. To do this, we can solve the differential equation given:

\(dy/dx = xy/2\)

Separating the variables, we get:

\(dy/y = x/2 dx\)

Integrating both sides, we get:

\(ln|y| = x^2/4 + C\)

Where C is the constant of integration. To find the value of C, we can use the initial condition that f(1) = 1:

ln|1| = 1/4 + C

C = -1/4

So our equation for f(x) is:
\(ln|y| = x^2/4 - 1/4\)

Simplifying, we get:

\(y = e^(x^2/4 - 1/4)\)

To find the equation of the tangent line through the point (1,1), we need to find the slope of the tangent line at x = 1. To do this, we take the derivative of f(x) and evaluate it at x = 1:

\(f'(x) = (1/2)x e^(x^2/4 - 1/4)f'(1) = (1/2)(1) e^(1/4 - 1/4) = 1/2\)

So the slope of the tangent line at x = 1 is 1/2. Using the point-slope form of a line, we get:

\(y - 1 = 1/2(x - 1)\)

Simplifying, we get:

y = 1/2 x + 1/2

To estimate the value of f(1.2), we can use our tangent line equation. Plugging in x = 1.2, we get:

\(y = 1/2(1.2) + 1/2 = 1.1\)

So our estimate for f(1.2) is 1.1.

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Answer:

12$ is the amount Gemma would get.

Step-by-step explanation:

27$ divided by 9 hours is 3$ per hour, aka the unit rate. Since Gemma worked 4 hours, we do 3$x4 and we get 12$

Answer: 12.84

Step-by-step explanation:

if x = 3.2 and y = 6.1  and Z = 0.2

then plug in the numbers

(3.2)(0.2) + (6.1)(2)

0.64 + 12.2 = 12.84

Any variable next to a number means multiplication.

if I was wrong lmk

By answering the above question, we may state that Shade the region to line the left of the open circle, since x is less than 4.

A line is a geometric object that is infinitely long and has no width, depth, or curvature. A line, which can also exist in two-, three-, and more-dimensional spaces, is therefore a one-dimensional object. A line is often used to refer to a line segment with two points as its endpoints. A line is a flat, one-dimensional object that may extend indefinitely in both directions and has no thickness. The terms "straight line" or "old correct line" are sometimes used to describe a line that has no "wobble" anywhere along its length.

plot the inequality 4x-22<-6 on a number line,

4x - 22 + 22 < -6 + 22

4x < 16

4x/4 < 16/4

x < 4

Plot an open circle at 4 on the number line to indicate that x is not included in the solution set.

Shade the region to the left of the open circle, since x is less than 4.

The resulting graph should look like this:

     ○----------------->

     |  |  |  |  |  |  |

   -∞  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

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Answer:

♡ madeline here ♡

by factor grouping, it is (3n+13) (n-7)

your amazing by the way!

goodnight/goodday

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ

Step-by-step explanation: