What is the equation of the line passing through the point (-3,-4) and parallel to the x-axis?

Step-by-step explanation:

\(( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3\)

Answer:

Vicks monthly interest payment is $91

Step-by-step explanation:

Total: $1800

Down payment: $500    (already paid)

Current balance need to be paid:

$1800 -  $500 = $1300

7% of  $1300 is, 1300 x 0.07 = $91

1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

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Answer:

75% - 20% = 55%

Step-by-step explanation:

Answer: 12.85

Step-by-step explanation: If you start off by multiplying them then. You'd get 225=20x-2. So from there you subtract the 2, to isolate the 20x. Then divide bother sides by 20 to get 12.85.

Answer:

The answer is 5.4

Step-by-step explanation:

{17}{15}={10}{2x-2} x =92/17

92/17 rounded to the nearest tenth is 5.4117...

5.4

im late to answer this question but to help people in the future with this same question... here you go x)

Answer:

Step-by-step explanation:

Let t and d represent the numbers of trucks and dolls produced. The given relations let us write two equations:

  t + d = 105

  4t +5d = 480

Substituting for t, we have ...

  4(105 -d) +5d = 480

  d +420 = 480 . . . . . . . . . simplify

  d = 60 . . . . . . . . . . . . subtract 480

  t = 105 -d = 45

45 trucks and 60 dolls were produced in that hour.

S O L U T I O N:

Let's assume the no. of toy trucks be 't' and the no. of dolls produced 'd'

From the above condition as been expressed in question we can frame two equations i.e,

\(:\implies\tt{t + d = 105 \: ...(1)} \)

\(:\implies\tt{t = 105 - d}\)

\(:\implies\tt{4t + 5d = 480 \: ...(2)}\)

Placing the value of t in equation (2),

\(:\implies\tt{4(105 - d) + 5d = 480}\)

\(:\implies\tt{420 - 4d + 5d = 480}\)

\(:\implies\tt{1d = 480 - 420}\)

\(:\implies\tt{d = 60}\)

Placing value of d in eqn (1),

\(:\implies\tt{t + d = 105}\)

\(:\implies\tt{t + 60 = 105}\)

\(:\implies\tt{t = 105 - 60}\)

\(:\implies\tt{t = 45}\)

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

mark me as brainlist

follow me

13Y≤-12

Step-by-step explanation:

first we choose a letter to represent the unknown. let's say y

secondly we write the product of 13 and y

thirdly the word no more than means less than or equal to the given number which is -12

fourthly we have our answer above

Let's begin by listing out the information given to us:

Hence the correct answer is B) -9

Answer:

A

Step-by-step explanation:

A is the answer because the origin is located at point (0,0)

Given that the polynomials p(x) = 5x²-x+ 4 and q(x) = 3x² + 7x-1,

a. The polynomial  p(x) + q(x) =  8x² + 6x + 3.

b. The polynomial  2p(x) - q(x) =  7x² - 9x + 9.

c. The polynomial p(x)q(x) = 15x⁴ - 3x³ + 35x² + 27x - 4

A polynomial is a mathematical function in which the power of the unknown is greater than or equal to 2.

1. Given the polynomials p(x) = 5x²-x+ 4 and q(x) = 3x² + 7x-1, we desire to find p(x) + q(x), we proceed as follows.

To find  p(x) + q(x), we add both polynomials. so, we have that

p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

So,   p(x) + q(x) = 5x²- x + 4 + 3x² + 7x - 1.

Collecting like terms, we have that the equation

p(x) + q(x) = 5x² + 3x² + 7x - x + 4 - 1.

= 8x² + 6x + 3.

So, p(x) + q(x) =  8x² + 6x + 3.

b. To find  2p(x) + q(x), we add both polynomials. so, we have that

p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

We multiply p(x) by 2 to obtain 2p(x). so,

2p(x) = 2(5x²- x + 4)

= 10x²- 2x + 8

So,   2p(x) + q(x) = 10x²- 2x + 8 - (3x² + 7x - 1)

= 10x²- 2x + 8 - 3x² - 7x + 1)

Collecting like terms, we have that the equation

2p(x) + q(x) = 10x² - 3x² - 7x - 2x + 8 + 1.

= 7x² - 9x + 9.

So, 2p(x) - q(x) =  7x² - 9x + 9.

c. To find  p(x)q(x), we multiply both polynomials. so, we have that p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

p(x)q(x) = (5x²- x + 4)(3x² + 7x - 1)

= 5x²×3x² + 5x² × 7x + 5x²(-1) - x × 3x² - x × 7x - x × ×(-1) + 4 × 3x² + 4 × 7x  + 4 × (-1)

= 15x⁴ + 35x² - 5x² - 3x³ - 7x² - x + 12x² + 28x - 4

Colecting like terms, we have that

= 15x⁴ - 3x³ + 35x² - 5x²  - 7x² + 12x² - x + 28x - 4

= 15x⁴ - 3x³ + 35x² + 27x - 4

So, p(x)q(x) = 15x⁴ - 3x³ + 35x² + 27x - 4

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The value of the length x is 2√70. Option C

To determine the value of the length of the triangle, we need to consider the different trigonometric identities, they are;

Now, using the Pythagorean theorem, we have;

17² = x² + 3²

Find the square values and substitute

289 = x² + 9

collect the like terms

x² = 289 - 9

Subtract the values

x² = 280

Find the square root of both sides

x = √280

Find the values

x = √4× 70

x = 2√70

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Answer:I see the questions but is there supposed to be a chart or is it just questions?

Step-by-step explanation:

Answer:

I got the first one which is

John -if a circle is put it into the center of another and dilate to show that they are similar.

Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.

Yes, all circles seem to be similar

Let

ATQ

\(\\ \sf\longmapsto x+4x-6=94\)

\(\\ \sf\longmapsto 5x-6=94\)

\(\\ \sf\longmapsto 5x=94+6\)

\(\\ \sf\longmapsto 5x=100\)

\(\\ \sf\longmapsto x=\dfrac{100}{5}\)

\(\\ \sf\longmapsto x=20\)

Answer:

$20

Step-by-step explanation:

T is Ted

K is Katie

T+K=94.

T=4K-6

I mostly just tried a bunch of numbers.

To check:

T+20=94

T=74

74=4(20)-6

74=80-6

74=74

I hope this helps!

pls ❤ and give brainliest pls

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.\(e^{-\lambda.x}\)

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - \(e^{-\lambda.x}\)

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - \(e^{-0.0143.100}\)

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - \(e^{-0.0143.200}\)

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = \(\frac{1}{\lambda}\)

E(X) = \(\frac{1}{0.0143}\)

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = \(\sqrt{\frac{1}{\lambda^{2}} }\)

σ = \(\sqrt{\frac{1}{0.0143^{2}} }\)

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - \(e^{-0.0143*209.79}\))

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

\(\int\limits^m_0 f({x}) \, dx\) = 0.5

\(\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx\) = 0.5

\(\lambda.\frac{e^{-\lambda.x}}{-\lambda}\) = \(-e^{-\lambda.x} + e^{0}\)

\(1 - e^{-\lambda.m}\) = 0.5

\(-e^{-\lambda.m}\) = - 0.5

ln(\(e^{-0.0143.m}\)) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

Answer:

u will not fail i promise

Step-by-step explanation:

and the answer is the first becz we have to see the difference in arthimatic terms

Answer:

product

Step-by-step explanation: product means solution of two thingies being multiplied with each other i think

The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar \(\lambda\)  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix \(A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]\)

Thus, the equation of the determinant (A - \(\lambda\)1) = 0

This implies that:

\(\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0\)

\(-(1 - \lambda^2 ) + 2 = 0\)

\(-1 + \lambda ^2 + 2= 0\)

\(\lambda^2 +1 =0\)

Hence, the eigenvalues of the equation are \(\mathtt{\lambda = i , -i}\)

Also, the eigenvalues can be said to be complex numbers.

\(Find \;lcd \;of\; two \;fractions\;5/7\; and\;2/3\\\\lcd(7, 3)\; =\; 21\\21/7\; =3\; -\;additional\;multiplier\;of\;the\;first\;fraction\\\\21/3\;=\;7-\;additional\;multiplier\; of\; the \;second \;fraction\\\\5/7=5*3/7*3=15/21\\\\2/3 =2*7/3*7=14/21\\\\2.)\;Sum\;the\;fractions\;with\;the\;same\;denominator:\\\\15/21+14/21=15+14/21=29/21\)

\(3.)\;Since\;the\;numerator\;is\;greater\;than\;the\;denominator,\;\\convert\;the\;improper\;fraction\;to\;a\;mixed\;number.\)

\(29/21=1*21+8/21=1*21/21 +8/21=1+8/21\)

\(So,\;your\;final\;answer\;is\;1\frac{8}{21}\).

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

The completed cumulative frequency table is attached accordingly. See explanations below.

A cumulative frequency table is a graph that depicts the popularity or mode of a certain piece of data as well as the possibility that a specific event will fall below the frequency distribution.

1. Sort the data in ascending order.

2. Examine the first interval and count how many points in the dataset fall within it. Take note of the number under frequency.

3. Relative frequency = frequency inside a class / total number of data points

4. Cumulative frequency = Add each frequency in the order described below.

See the attached images for the completed tables.

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Full Question:

Here is a random sample of body temperature of 25 young adults:

96, 96.6, 96.7, 96.9, 97, 97.1, 97.1, 97.2, 97.3, 97.4, 97.4 97.7 97.7 97.7 97.8, 97.9, 98 98, 98.2, 98.2, 98.3, 98.3, 98.7, 98.8, 98.9.

Complete the attached relative frequency distribution table.

The equation -6 = 0 is not true, which means that there is no solution to the equation 9t+6 in standard form. This is because we cannot write the equation in the form \(ax + by = c\)  , since there is no value of c that would satisfy the equation.

To write 9t+6 in standard form, we need to rearrange the expression to have the variables first, followed by the constant term. The standard form of a linear equation is:

\(ax + by = c\)

where a, b, and c are constants, and x and y are variables.

To rearrange 9t+6, we first need to group the t term and the constant term together. We can do this by adding 0t to the expression:

\(9t + 0t + 6\)

Now, we can rearrange the terms so that the variable term comes first:

\(9t + 0t = 9t\)

Finally, we can write the expression in the standard form:

\(9t + 0t = 9t + 6\)

This can be simplified further by removing the 0t term:

\(9t = 9t + 6\)

We can now move the constant term to the other side of the equation by subtracting 6 from both sides:

\(9t - 6 = 9t + 6 - 6\)

\(9t - 6 = 9t\)

\(-6 = 0\)

Therefore, The equation  \(-6 = 0\) is not true, which means that there is no solution to the equation   \(9t+6\) in standard form. This is because we cannot write the equation in the form  \(ax + by = c\)  , since there is no value of c that would satisfy the equation.

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Answer:

f(x+1) = -3/4 × f(x)

Step-by-step explanation:

first of all, the sign of the numbers in the sequence is alternating. so, there must be a "-" involved.

that eliminates the first and third answer options.

and the absolute values of the numbers in the sequence are going down. |f(x+1)| < |f(x)|

that eliminates the fourth answer option, as this says that

|f(x)| < |f(x+1)|. and that is the opposite of how the actual sequence behaves.

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.