simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)​

Answer:

No it's not Because of this y=x³+2 you sub y from 2 so that leaves you with x³so no love it's not

Answer:

Not linear.

Step-by-step explanation:

Degree of the linear function must be one. Here it is 3. So, this is not a linear function.

Answer: 10

Step-by-step explanation:

It appears that \(\overline{AC} \perp \overline{BC}\), so to check if this is the case, we can use the slope formula.

\(m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2\)

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take \(\overline{AC}\) as the base of the triangle and \(\overline{BC}\) as the height of the triangle, and then use the formula \(A=\frac{1}{2}bh\).

Using the distance formula,

\(AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}\)

So, the area is \(\frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}\)

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

Y=x/3 is the answer

Step-by-step explanation:

Hope this helps!!

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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Answer: 5 1/2

Step-by-step explanation:

12 5/6 - 7 1/3

Find an equivalent fraction for 7 1/3

12 5/6 - 7 2/6

5 3/6

Simplify

5 1/2

12 5/6 - 7 1/3

12-7= 5 and

5/6-1/3= {lcm of 6 and 3}

5-2/6= 3/6

3/6 = 1/2

final answer = 5 1/2

Answer:

Step-by-step explanation:

4x-5 = 3x

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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Step-by-step explanation:

7.

the probability of picking a defective missile with the first pull is

5/22

the probability of picking a working missile with the first pull is

17/22 = ((22-5)/22)

I have to assume that the picked missiles are not put back into the main pile after the check.

and I have to assume that the sequence of the pulled missiles don't matter.

a.

all are defective.

since there are only 5 defective missiles, there is only one possibility out of all the possibilities to pull 5 out of 22 to get 5 defective missiles.

the possible combinations to pull 5 out of 22 :

C(22, 5) = 22! / ((22 - 5)! × 5!) =

= 22×21×20×19×18×17/(5×4×3×2) =

= 22×21×19×3×17 = 447,678

and we have one desired situation (all 5 are defective).

so, the probability is

1/447678 = 0.000002233748364... = 2.233748364e-006

b.

all 5 are functional.

the total possible cases to pull 5 out of 22 are still

447,678.

the desired cases are all cases to pull 5 out of the 17 (22 - 5) functional missiles.

that is

C(17, 5) = 17! / ((17 - 5)! × 5!) =

= 17×16×15×14×13 / (5×4×3×2) =

= 17×2×14×13 = 6,188

so, the probability to get one of these cases is

6188 / 447678 = 0.013822435...

The probability of picking a defective missile with the first pull is 5/22

The probability of picking a working missile with the first pull is 17/22

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

If we assume that the picked missiles are without replacements and the sequence of the pulled missiles don't matter,

Therefore, the probability that:

a. all are defective is 2.233748364e-006

Since there are only 5 defective missiles, there is only one way to get 5 defective missiles out of 22 possible outcomes.

The possible combinations to pull 5 out of 22 :

C(22, 5) = 22! / ((22 - 5)! × 5!) =

= 22×21×20×19×18×17/(5×4×3×2) =

= 22×21×19×3×17 = 447,678

and we have one desired situation (all 5 are defective).

so, the probability is 1/447678 = 0.000002233748364... = 2.233748364e-006

b. all 5 are functional is 0.013822435

the total possible cases to pull 5 out of 22 are still 447,678.

The ideal scenario is for all incidents to result in the removal of 5 of the 17 (22 - 5) operational missiles.

that is

C(17, 5) = 17! / ((17 - 5)! × 5!) =

= 17×16×15×14×13 / (5×4×3×2) =

= 17×2×14×13 = 6,188

so, the probability to get one of these cases is

6188 / 447678 = 0.013822435

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Answer:

I got -1 31/33

Step-by-step explanation:

Answer:

please see picture above

9514 1404 393

Answer:

  -1350°

Step-by-step explanation:

π radians is 180°, so you have ...

  -15(180°)/2 = -1350°

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

Top Right Graph is the only function.

Step-by-step explanation:

Imagine a vertical line moving from left to right over the entire width of the graph. If at any position, the line intersects more than one point on the graph, the graph is not a function. This is called the vertical line test.

The only graph that passes the vertical line test is the top right graph. All other graphs fail the vertical line test because a vertical line intersects more than one point at some position.

Using the function concept, it is found that graph x represents a function.

----------------------------

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∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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9514 1404 393

Answer:

  9/24 and 3/8 are equivalent

Step-by-step explanation:

Ratios are reduced to lowest terms by dividing by any common factors the numbers may have. The ratios in lowest terms are ...

  3/10 = 3/10

  9/24 = 3/8 . . . . . 9 and 24 are divisible by 3

  3/8 = 3/8

  1/5 = 1/5

The ratios 9/24 and 3/8 are equivalent.

Answer:

4 1/2

Step-by-step explanation:

41−172=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/1, 17/2) = 2

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(41×22)−(172×11)=?

Complete the multiplication and the equation becomes

82−172=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

8−172=−92

This fraction cannot be reduced.

The fraction

−92

is the same as

−9÷2

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Solution by Formulas

Apply the fractions formula for subtraction, to

41−172

and solve

(4×2)−(17×1)1×2

=8−172

=−92

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Answer:

1800

Step-by-step explanation:

90*20=1800 because 9*2=18 add two zeroes and ur done

Hope this helps

Answer:

1,800

Step-by-step explanation:

90 x 20

9 x 2=18

18+00

1,800

Plz give Brainiest

The correct total weight of the bags of granola is 8 1/4 pounds.

One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.

In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.

To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:

2 + 2 + 3 = 7 (sum of whole numbers)

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)

Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.

By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.

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The probable question may be:

Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.

what is one thing that you could do to Roberto's Reasoning

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

Answer:

Step-by-step explanation:

110

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

20 bags

Step-by-step explanation:

683✖️19=12977

683✖️365=249295

249295/13000=19.17

--> 20 bags

Answer:

\((x, y ) \rightarrow (\boxed{\dfrac{x}{3}}, \boxed{-\dfrac{y}{3}})\)

Step-by-step explanation:

The image(the smaller inverted triangle) obtained from the pre-image(the larger triangle) by compressing it by a factor of -1/3(called a dilation) and then reflected across the y-axis

If you examine the two triangles you will see that

Point A(-3, -3) ==> Point X(-1, 1)

Point B(-3, 3) ==> Point Z(-1, -1)

Point C(3, -3) ==> Point Y(1, 1)

So the x coordinates and y coordinates of the image are transformed as follows:

x' =  x/3

y' =   - y/3

It may be 1^4 ............................