If f(x) = 2x2
+3 and g(x) = x2 - 7, find (f + g)(x).
A. x² - 4
B. X2 + 10
C. 3x2 - 4
D. 3x2 - 10

We cannot consider the event of the cost exceeding $315 to be highly unlikely, as its probability is greater than 5%. Based on the given information, it is not highly unlikely that the cost of completing the tests will exceed $315.

Based on the given information, we know that 40% of the employees have positive indications of asbestos. Therefore, if we randomly select three employees, the probability that all three have positive indications is:
P(all three have positive indications) = (0.4)(0.4)(0.4) = 0.064
This means that the probability that at least one of the selected employees does not have a positive indication is:
P(at least one does not have a positive indication) = 1 - 0.064 = 0.936
Now, to estimate the cost of completing the tests, we need to consider the mean and variance of the cost of finding three employees with positive indications. We know that the mean cost is $150 and the variance is $4,500. Since the cost is a continuous variable, we can use the normal distribution to estimate the probability that the cost exceeds $315. We need to standardize the value of $315 using the mean and variance:
z = (315 - 150) / sqrt(4500) = 1.732
Looking at a standard normal distribution table, we find that the probability of a value being greater than 1.732 standard deviations above the mean is 0.042, which is slightly higher than 0.05.

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Answer:

given below.

Step-by-step explanation:

BAC = 80 degree

AZC = 80 degree

BZE = 80 degree

ZCE = 40 degree

CZE = 40 degree

the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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Answer:

Volume = 100cm³

surface area=

The volume of Triangular Prism is 120 \(cm^{3}\) and the surface area of  triangular prism is 184  \(cm^{2}\)

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

The volume of a triangular prism is the product of its triangular base area and the length of the prism.

Volume of Triangular Prism = ½ × b × h × l,

where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism.

The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism.

Surface area = (Perimeter of the base × Length) + (2 × Base Area)

According to the question

Length of the prism. = 10cm

Base length of the triangle = 6 cm

Height of the triangle = 4 cm

1> Volume of Triangular Prism = ½ × b × h × l

                                                =   ½ × 6 × 4 × 10

                                                =  120 \(cm^{3}\)

As, Base area  in Triangular Prism base is always triangular part

i.e Base area = 1/2 * 4 * 6

                       =  12 \(cm^{2}\)

Perimeter of the base = 5 + 5 + 6

                                     = 16 cm

Length of the prism = 10 cm

Surface area = (Perimeter of the base × Length) + (2 × Base Area)

substituting the value

Surface area = (16 * 10 ) + (2 * 12 )      

                      =  184  \(cm^{2}\)

Hence, The volume of Triangular Prism is 120 \(cm^{3}\) and the surface area of  triangular prism is 184  \(cm^{2}\)

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Answer:

B) $46.72

Step-by-step explanation:

Let j = cost of the jeans

j * 1.07 is the cost of the jeans with tax

j * 1.07 = 49.99

Divide each side by 1.07

j * 1.07 /1.07 = 49.99 / 1.07

j =46.72

The jeans can cost no more than 46.72

Answer:

B) $46.72

Step-by-step explanation:
The problem can be expressed as an equation you solve for "y"
y + y * 0.07 = 49.99

We factor out the "y" from the equation and we get
y  * (1 + 0.07) = 49.99

Which is the same as
y * 1.07 = 49.99

We can then divide by 1.07 both sides
y = 49.99 / 1.07

Which yields
y = 46.719

If rounding is allowed the answer is B, otherwise the answer is A. I'll go with the rounded one

Answer:

x = 67°

Step-by-step explanation:

The little square in the corner represents 90° because it is a right-angle.

All angles in a triangle add up to 180°.

90° + 23° = 113°

180° (total) - 113° (whats already there) = 67° (x)

I hope this helps. If you need further explanation, let me know.

- profparis

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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Answer: 10.9 m

So to find the missing side we can use the pythagorean formula to do this. It must be a right angle triangle if we want to use the formula. So we know two of the side lengths and that, that it has a right angle. Let's do it real quick! The formula is:

c^2=a^2+b^2 (c, the missing side, a is any side, b is the other side length)

So in this one we will find the missing side which is c . . . Place the formula!

c^2 = 7.7^2 + 7.7^2

c^2 = 59.29 + 59.29

c = square root of 118.58

c = 10.89 --> round to nearest tenth is 10.9

Brainliest pwease if I could help you! <3

Answer:

nvm then someone already did the answer

Step-by-step explanation:

adios

The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

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Answer:

1414

Step-by-step explanation:

Multiply 54 by 14, and 47 by 14. That is 756 and 658. Add them together to get the answer.

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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Answer:

they have been on vacation for 2 days i think

Step-by-step explanation:

1500-60=1440

1440-1080= 360

360÷180=2

hope this helps

Given data:

The list and the measurment of ingredients used to make 16 brownies is as follows.

Butter = 2/3 cups.

unsweetended choclolate = 5 ounces.

sugar = 1 1/2

vanilla = 2 tablespoons.

egg = 2

flour = 1 cup

to find the recipe, ingredients used to make 8 brownies.

Reduce the measure by half,. that is dividing it by 2.

thus,

Butter =1/3

unsweetended choclolate= 2.5 ounces

sugar = 3/4 cup

vanilla = 1 tablespoon.

egg =1

flour= 1/2 cup.

Answer:

4 units

Step-by-step explanation:

The length of the shorter side is equal to the difference in y-coordinates of two vertically opposite vertices. The y-coordinates of the vertices (-1, -5) and (3, -5) are both -5, so the vertical side between them is not the shorter side. The y-coordinates of the vertices (3, -7) and (-1, -7) are both -7, so the vertical side between them is the shorter side. The difference in the x-coordinates of these two vertices is 3 - (-1) = 4, so the length of the shorter side is 4 units.

Answer: Your answer is 2

Step-by-step explanation: I did the k12 quiz here's proof

Answer:

c

Step-by-step explanation:

I have done this on delta math too and it is C

Answer:

Step-by-step explanation:

BF = 24

BH = ?

BH = 2/3 BF

BH = 2/3 24

BH = 16

Answer:

-3/4

Step-by-step explanation:

The slope would be -3/4 because if you calculate the rise over run it would come out to -3/4.

Answer:

Step-by-step explanation:

y-intercept is 3 (rise)

x-intercept is 4 (run)

m = \(\frac{rise}{run}\)

m = \(\frac{3}{4}\)

Answer:

The first answer is 4 and so is the next box. The last one is 10.

Step-by-step explanation:Use your formula. It gave you y=x-3, so every Y point in the able will be 3 less than its corresponding x point.

Plug in the given values for either x or y and solve for the other.

When x = 7 , y = ?

Plug in 7 for x in the given equation:

y = x - 3

y = 7 - 3

y = 4

When x = 7, y = 4

When x = ? , y = 1

Plug in 1 for y in the given equation:

1 = x - 3

1 (+3) = x - 3 (+3)

x = 1 + 3

x = 4

When x = 4, y = 1

When x = ? , y = 7

Plug in 7 for y in the given equation:

7 = x - 3

7 (+3) = x - 3 (+3)

x = 7 + 3

x = 10

When x = 10, y = 7

~

The correct statements are a and b. Statement d is incorrect as the training data set is used to build the model, not to test its prediction accuracy.

The data should be partitioned into training and validation sets because we need two sets of data: one to build the model that depicts the relationship between the predictor variable(s) and the predicted variable, and another to validate the model's predictive accuracy. The training data set is used to build the model, and the validation data set is used to test the prediction accuracy of the model. In this process, the model (built using the training data set) is used to make predictions with the validation data - data that were not used to fit the model. In this way, we get an unbiased estimate of how well the model performs. Therefore, the correct statements are a and b. Statement d is incorrect as the training data set is used to build the model, not to test its prediction accuracy.
Your answer: a and b are the correct statements.

a. The training data set is used to build the model, and the validation data is used to test the prediction accuracy of the model.
b. In this process, the model (built using the training data set) is used to make predictions with the validation data - data that were not used to fit the model. In this way, we get an unbiased estimate of how well the model performs.
c. The data should be partitioned into training and validation sets because we need two sets of data: one to build the model that depicts the relationship between the predictor variables and the predicted variable, and another to validate the model's predictive accuracy.

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From the given symmetry the given figure has point and rotational symmetry.

As given in the question,

Figure is attached.

The attached figure is having two arrows clockwise and anticlockwise.

So the given figure has point symmetry.

Given figure does not have line symmetry.

So the given figure has rotational symmetry.

Therefore, the given figure has point and rotational symmetry.

The above question is incomplete, the complete question is:

Determine whether the figure has line, point, and/or rotational symmetry. Check all that apply. (1 point)

Line

Point

Rotational

None

Figure is attached.

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Answer:

\(\alpha=54^o\)

Step-by-step explanation:

\(\alpha+36^o=90^o\\\mathrm{or,\ }\alpha=90^o-36^o=54^o\)

Answer:

1.25 per pound

Step-by-step explanation:

Answer:

6x^2 + 14x -12

Step-by-step explanation:

If a four digit personal identification number is selected, then the probability that there are no repeated digits is 0.504

Number of digits in the identification number = 4

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

There are 10 digits

The probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 10 × 10 × 10 × 10

= 10000

Number of outcomes that digits wont repeat = 10 × 9 × 8 × 7

= 5040

Substitute the values in the equation of probability

The probability = 5040 / 10000

= 0.504

Therefore, the probability there are no repeated digits is 0.504

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Answer:

6/n = n/18

n^2 = 108

n = sqrt 108

a^2 + b^2 = c^2

36 + 108 = m^2

144 = m^2

m=12

Let me know if this helps!

Answer:

send the complete question . there are some missing signs .

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer:

7

Step-by-step explanation:

Multiply 1/8 by 56.

You can put a 1 under the 56 because the56/1 and 56 are identical.

1/8 * 56/1

Multiply numerators (1 & 56) and the denominators (8 & 1)

56/8

Simplify by dividing

7