A mathematical phrase containing at least one variable.

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Answer:

y=2x+3

Step-by-step explanation:

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation:

The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Here,

A) 6/21 and 2/42

2/7 and 1/21

So, the given ratios are not in proportion.

B. 25/100 and 50/150

1/4 and 1/3

So, the given ratios are not in proportion.

C. 18/24 and 6/12

3/4 and 1/2

So, the given ratios are not in proportion.

D. 7/14 and 20/40

1/2 and 1/2

The given ratios are in proportion.

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which pair of ratios is proportional?

A. 6/21 and 2/42

B. 25/100 and 50/150

C. 18/24 and 6/12

D. 7/14 and 20/40

Answer:

131,000 (0.99)

Step-by-step explanation:

well i just added it up and it takes that much that is at the top

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\(\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}\)

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

\(\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}\)

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\(\displaystyle A = Pe^{rt}\)

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

\(\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}\)

In conclusion, about $3692.47 should be deposited.

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

57

Step-by-step explanation:

its a right angel 33+57=90

Answer:

use a protractor to help u find the answer

Step-by-step explanation:

I don't want to give out the answer  

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

The dot product of the D⋅n is 32.

According to the statement

We have given the value of n vector and d matrix and we have to find the dot product of these.

So, For this purpose,

The given values:

n = {-2,-1} and D = [−4423].

The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers, and returns a single number.

So, The d matrix become

\(D = \left[\begin{array}{cc}-4&4&\\2&3&\\\end{array}\right]\)

Now solve it with the help of multiplication then the matrix become

D = (-12, -8)

and n = {-2,-1}

Now multiply both terms with the dot product.

So, the dot product of the both terms will become

D.n = 24 +8

Then

The output of the dot product of both terms is 32.

So, The dot product of the D⋅n is 32.

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Answer:

Step-by-step explanation:

If the question is - 7 - 131 = - 138

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

all real numbers

Step-by-step explanation:

when you multiply the bottom equation by 4, you can see the equations cancel out

Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.

The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.

Given

A parallelogram is an ABCD quadrilateral.

Both AB and BC are parallel to CD and AD, respectively.

Consequently, it is a parallelogram's condition.

A form of quadrilateral with equal and parallel opposite sides is a parallelogram.

Here, CAB and ACD are congruent, and BCA and CAD are congruent.

Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.

Then ABC is comparable to ADC.

Yet AC is AC.

ADC and ABC are then congruent.

As a result, for the equivalent triangle, 4 and 5 have the same significance.

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Answer:

1 and 7

Step-by-step explanation:

I did this quiz

Answer:

Angles 1 and 5 are corrisponding angles

Step-by-step explanation:

The equation of the mathematical statement is: y= 1.75x.

Based on the information given, we can assume that the growth per year for Amy's tree is given by:

y = 1.75x

where x is the number of years after planting the seed.

However, this is not in the form of y = mx + b.

To write it in that form, we need to isolate y on one side of the equation:

y = 1.75x + 0

where m = 1.75 and b = 0.

Therefore, the equation of the mathematical statement is:

y = 1.75x + 0 or simply y = 1.75x.

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Answer:

Step-by-step explanation:

To calculate the company's debt ratio, we need to know its total liabilities and total assets. We can use the total assets turnover ratio to calculate the company's total assets:

Total assets turnover = Sales / Total Assets

1.04 = R6,500,000 / Total Assets

Total Assets = R6,500,000 / 1.04 = R6,250,000

Since the company is financed entirely with debt and common equity, its total liabilities are equal to its total debt. We can use the return on equity (ROE) formula to calculate the company's total equity:

ROE = Net Income / Total Equity

0.14 = R217,000 / Total Equity

Total Equity = R217,000 / 0.14 = R1,550,000

Now, we can calculate the company's debt ratio:

Debt Ratio = Total Debt / Total Assets

Debt Ratio = (Total Assets - Total Equity) / Total Assets

Debt Ratio = (R6,250,000 - R1,550,000) / R6,250,000

Debt Ratio = R4,700,000 / R6,250,000

Debt Ratio = 0.752 or 75.2%

Therefore, the company's debt ratio is 75.2%.

Answer:

the answer is 3 pairs of nike brand

Step-by-step explanation:

all shoes=36

not a nike=18

subtract=18

18 of his shoes is tennis shoes

1/6 is nike brand

18 ÷ 1/6 = 3

Answer:

  6x² -36x +48

Step-by-step explanation:

The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)

  (2x -8)(3x -6) = 2x(3x -6) -8(3x -6)

  = 6x² -12x -24x +48 . . . . . . . form partial products

  = 6x² -36x +48 . . . . . . . collect terms

Answer:

6x² - 36x + 48

Step-by-step explanation:

(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6

6x² - 12x - 24x + 48

6x² - 36x + 48 [Answer]

PLEASE RATE!! I hope this helps!!

if you have any questions comment below!!

(I have verified my answer using an online calculator)

Answer:

B is the correct answer

Step-by-step explanation:

there y intercept are the same which is 4

The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The equation of the line is

x=2(y-4)

x=5(y-4)

y =  (1/2)x +4  

y = (1/5)x +4

The slope is (1/2) and (1/5),

(1/2) > (1/5)

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To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

b=32-6

=26

Step-by-step explanation:

bringung +6 to tge right gives u -6

checking-

6+b=32

6+ 26(b)=32