The sum of twice a number and 7 times another number is 49. The first number decreased by 3 times the second number is 5. Enter the larger of the two numbers.

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Answer:

B. $11.88

Step-by-step explanation:

4 · 2.50 = $10

3/4 · 2.50/1 = about $1.88

10 + 1.88 = $11.88

\(\\ \rm\Rrightarrow log_7(5-x)-log_7(3+x)=-1\)

\(\\ \rm\Rrightarrow log_7(5-x)=-1+log_7(3+x)\)

\(\\ \rm\Rrightarrow 7(5-x)=3+x\)

\(\\ \rm\Rrightarrow 35-7x=3+x\)

\(\\ \rm\Rrightarrow 35-3=x+7x\)

\(\\ \rm\Rrightarrow 32=8x\)

\(\\ \rm\Rrightarrow x=4\)

Answer:

x = 4

Step-by-step explanation:

\(\large \boxed{\begin{minipage}{7.5 cm}\underline{Log Laws} \\ \\$\textsf{Quotient law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y} \\ \\\textsf{If }\: \log_ab=c\: \textsf{ then }\: a^c=b$\\\end{minipage}}\)

\(\large \begin{aligned}\log_7(5-x)-\log_7(3+x) & =-1\\\\\log_7\left(\dfrac{5-x}{3+x}\right) & =-1\\\\\left(\dfrac{5-x}{3+x}\right) & =7^{-1}\\\\\dfrac{5-x}{3+x} & =\dfrac{1}{7}\\\\7(5-x) & =3+x\\\\35-7x & =3+x\\\\35-3 & =x+7x\\\\8x & =32\\\\x & =\dfrac{32}{8}\\\\x & =4\end{aligned}\)

Answer:

The travel bag that can hold exactly 3,150 cubic inches is the bag that is 21 inches long.

Step-by-step explanation:

The travel bags can be modelled as rectangular prisms.

The formula for the volume of a rectangular prism is:

\(\boxed{\textsf{Volume} = l \times w\times d}\)

where:

Given that all three bags have a depth of 10 inches and a width of 15 inches, we can create an equation for the volume of any of the bags by substituting d = 10 and w = 15 into the formula:

\(\begin{aligned}\sf Volume &=l \times w \times d\\&= l \times 15\times10\\&=l \times 150\\&=150\;l\end{aligned}\)

To determine which travel bag can hold exactly 3,150 cubic inches, substitute volume = 3150 into the formula and solve for length, l:

\(\begin{aligned}\sf Volume &=150\;l\\\\ \implies 3150&=150\;l\\\\\dfrac{3150}{150}&=\dfrac{150\;l}{150}\\\\21&=l\\\\l&=21\;\sf in\end{aligned}\)

Therefore, the travel bag that can hold exactly 3,150 cubic inches is the bag that is 21 inches long.

Answer:

2

Step-by-step explanation:

f(-3) represents f(x) evaluated at x=3.

\(f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2\)

Answer:

D - (-2)^2 does not equal to -4

Step-by-step explanation:

√-4 does not equal -2 because if you try squaring -2 you will get 4 not -4, because 2 negative number makes it a positive.

For example

-2 x -2 - There are two negative numbers, so it should equal...

4

Answer: The answer is 4

Step-by-step explanation:

Answer:

Place the compass on point a and draw arc CB

Step-by-step explanation:

The equation for this statement:

2x – 14 = 6

=> 2x = 6 + 14

=> 2x = 20

=> x = 20/2

=> x = 10

Answer:

-5+3=-2

1/4 of 24 = 6

Step-by-step explanation:

Answer:

The z-score for this data is Z = -0.26.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.

This means that \(\mu = 1.65, \sigma = 0.55\)

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that \(n = 51, X = 1.63\)

Using a one-sample z test, what is the z-score for this data

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}\)

\(Z = -0.26\)

The z-score for this data is Z = -0.26.

Answer:

7/9+1/6+2/3+6/18=28/36+6/36+24/36+12/36

=70/36

=1/34/36

In question number 5, they are asking to come up with an application for the table "right wall" different from hanging photographs. It must be something that implies making an array of rows and columns.

Leo could use this information to make an array of cookies in a tray.

For him, 7 x 4 means that he has 28 cookies.

Answer:

31 + 32 + 33 = 96.

Step-by-step explanation:

I think you are meaning 96 not -96

Answer:

Yes, the answer is A

Step-by-step explanation:

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.

Then the correct option is A.

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Answer:

69310

Step-by-step explanation:

255*270+460

=68850+460

=69310

Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

Answer:

-13/-5 is the opposite of 13/5. Hope this helps :)

The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

Its geometric meaning is the slope of tangent of the function at a given point.

The given function is as below,

y = sec⁻¹(x³)

The given function is a composite function of sec⁻¹x and x³.

In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,

dx³/dx = 3x²

And, dsec⁻¹x /dx = 1/x√(x² - 1)

Now, differentiation of sec⁻¹(x³) is given as,

d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))

                      = 3x/√(x² - 1)

Hence, the differentiation of the given function is 3x/√(x² - 1).

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The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Since 1.2 is positive whereas all other are negative. So, the order will be:

1.2 > -1.6 > - 1.7 > -1.71

Therefore,

-8/5 = -1.6 …............ Number 3

-1.7 …............ Number 2

-30/-25 = 6/5 = 1.2 …............ Number 4

-1.71 .................. Number 1

Since 1.2 is positive whereas all other are negative.

So, the order will be:

1.2 > -1.6 > - 1.7 > -1.71

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Answer:

0.18(1+3)-0.75 = -0.03

0.03(6*1-7) = -0.03

The answer is t = 1

Hope this helps!! :)

Answer:

Here to get the points thanks for recommending this ur so nice.

Step-by-step explanation:

The completion of the following table under different depreciation methods is as follows:

Method                           Year 1                     Year 2

Straight line                   $18,000                 $18,000

Units of production      $54,000                 $13,500

Declining balance        $37,600                $22,560

MACRS (5-year class)   $18,800                $30,080

Cost of machine = $94,000

Residual value = $4,000

Depreciable value = $90,000 ($94,000 - $4,000)

Estimated useful life = 5 years

Depreciation expense:

Straight-line method = $18,000 ($90,000/5)

Estimated units of produciton = 100,000

Unit depreciation rate = $0.90

Actual production   Depreciation

Year 1 = 60,000      $54,000 ($0.90 x 60,000)

Year 2 = 15,000      $13,500 ($0.90 x 15,000)

Declining Balance:

Year 1 = $37,600 ($94,000 x 40%)

Year 2 = $22,560 ($94,000 - $37,600) x 40%

MACRS:

Year 1 = $18,800 ($94,000 x 20%)

Year 2 = $30,080 ($94,000 x 32%)

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Answer:

formula

v=u+1

expression

3x'2-2x+1

Answer:

1 iteration: x =  

5/4

2 iteration: x =  

11/8

3 iteration: x =  

21/16

Step-by-step explanation:

Hope this helps!