Select all of the sets of measurements that can form a triangle.
35°, 15, 130°
90°, 3 inches, 7 inches
70°, 70°, 70°
17 inches, 8 inches, 2 inches
5 inches, 6 inches, 7 inches

Answer:

Step-by-step explanation:

The O is not part of the function.

f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.

Answer:

£2.80

Step-by-step explanation:

7%= 7/100

(7/100)*40=2.8

Answer:

=£ 2.80  or   £2 80p

Step-by-step explanation:

7% of £40

7 x 40 = 280

100           100

= £2.80 or £2 80p

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

Learn more about Integer here,

brainly.in/question/54087058

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\boxed{x = \frac{6}{k}}\)

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

\(\boxed{\text{Calculating the Answer...}}}\\\\kx+12=3kx\\------------\\\rightarrow kx+12 - 12 = 3kx-12\\\\\rightarrow kx = 3kx - 12\\\\\rightarrow kx - 3kx = 3kx - 3kx - 12\\\\\rightarrow -2kx = -12\\\\\rightarrow \frac{-2kx = -12}{-2k}\\\\\rightarrow \boxed{x=\frac{6}{k}; k\neq 0}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 6/k

Step-by-step explanation:

kx + 12 = 3*kx

to make like terms on same side shift kx to right hand side . when u shift positive kx to other side it becomes negative

12 = 3kx - kx

12 = 2kx

shift 2 to left hand side when u shift multilication changes to division.

12/2 = kx

6 = kx

to find x u must shift k to other side . here also same since k and x are multilied when k shifts to others side it becomes divisor.

6/k = x

Answer:

2p

Because 2 times whatever the amount of pounds

Step-by-step explanation:

The new dimensions of the lot is length = 22 meters and width = 20 meters

The corner lot that originally was square

Consider the  side of the lot = x

The area of the square = Length × length

Therefore,

x × x = \(x^2\)

one of the adjacent streets which is widened by 3 m and the other was widened by 5

Therefore

(x-3) × (x-5) = \(x^2\) - 185

open the brackets

\(x^2-5x-3x+15=x^2-185\)

The x square term will cancel each other

-5x-3x = -185-15

-8x = -200

x = 25 meter

The new length of the lot = x-3

= 25-3

= 22 meter

The new width of the lot = 25-5

= 20 meters

Hence, the new dimensions of the lot is length = 22 meters and width = 20 meters

Learn more about square here

brainly.com/question/1658516

#SPJ1

Answer:

1.    1:2

2.   x=12

3.   $25:$20

4.    15 cats

5.    16 t

6.   p=4

7.    $15/6 = 2.50

8.   10/5=2   8/2=4     x=4

8b.    8:10=4:5

9.   270/3=90=1 person    90 x 10=$900

you need $900 to bring 10 people on the fishing trip.

Step-by-step explanation:

3.   75/3=25    100/5=20

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

\(-1<x\leq3\)

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

\(-5x+4\geq -11\)

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

\(-5x+4\geq -11\)

Subtract 4 from both sides:a

\(-5x\geq -15\)

Then divide by -5 (Remember to change the direction of the sign!):

\(x\leq 3\)

Now add the equations back together:

\(-1<x\leq3\)

Answer:

\( y = 5 - x \)

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1 \).

Slope (m) = -1.

The equation, \( y = 5 - x \) , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is \( y = 5 - x \).

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

know more about normal distribution: brainly.com/question/15103234

#SPJ11

Answer:

40.8

Step-by-step explanation:

Just took the test

Answer:

40.8 yd

Step-by-step explanation:

just took the test too! :D

have a miraculous day!! <3

Yes, it is possible for two different pairs of numbers to have the same geometric mean. It is the nth root of the product of the numbers.

The geometric mean of a set of numbers is the nth root of the product of the numbers, where n is the total number of values in the set. The geometric mean is a measure of central tendency that is useful for calculating the average growth rate, finding a common ratio, or comparing values that are exponentially related.

To illustrate that two different pairs of numbers can have the same geometric mean, let's consider the following examples:

Pair 1: 2 and 8

Pair 2: 4 and 4

For Pair 1, the geometric mean is √(2 * 8) = √16 = 4.

For Pair 2, the geometric mean is √(4 * 4) = √16 = 4.

As we can see, both pairs have the same geometric mean of 4, even though the individual numbers in each pair are different. This shows that different pairs of numbers can have the same geometric mean. However, it is important to note that in general, there are infinitely many pairs of numbers that can have the same geometric mean.

Learn more about geometric mean here:

https://brainly.com/question/29199001

#SPJ11

Answer:

curved lines

Step-by-step explanation:

because a linear persctive is a straight line or perspective where in which a curved line isnt

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

Answer:

(5x^2-3) +(2x^2-3x^3)

=3x^3+5x^2+2x^2-3

= 3x^3 +7x^2 -3

Step-by-step explanation:

hope this is correct cuz I'm not an expert...

Answer:

19y+3

Step-by-step explanation:

The equation for perimeter is:

\(2(l+w)\)

Plug in the values into the equation:

\(2(4.5y+6+5y-4.5)=2(9.5y+1.5)=19y+3\)

The Taylor polynomial T3(x) for the function f centered at the number a is expressed with the equation:

T₃(x) = (1/4) + (-1/16)(x - 4) + (1/32)(x - 4)² + (-3/128)(x - 4)³

From the information given, we have that;

If a = 4, we have;

To find the Taylor polynomial T₃(x) for the function f(x) = 1/x centered at a = 4,

x = a = 4:

f(4) = 1/4

The first derivatives

f'(x) = -1/x²

f'(4) = -1/(4²)

Find the square value, we get;

f'(4) = -1/16

The second derivative is expressed as;

f''(x) = 2/x³

f''(4) = 2/(4³)

Find the cube value

f''(4) = 2/64

f''(4)  = 1/32

For the third derivative, we get;

f'''(x) = -6/x⁴

f'''(4) = -6/(4⁴)

Find the quadruple

f'''(4)  = -6/256

f'''(4) = -3/128

The Taylor polynomial T₃(x) centered at a = 4 is expressed as;

T₃(x) = (1/4) + (-1/16) (x - 4) + (1/32 )(x - 4)² + (-3/128) (x - 4)³

Learn more about Taylor polynomial at: https://brainly.com/question/2533683

#SPJ4

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

For more questions like Sample click the link below:

https://brainly.com/question/31101410

#SPJ11

Answer:

Area is a measure of how much space there is inside a shape.  Calculating the area of a shape or surface can be useful in everyday life – for example you may need to know how much paint to buy to cover a wall or how much grass seed you need to sow a lawn.

This page covers the essentials you need to know in order to understand and calculate the areas of common shapes including squares and rectangles, triangles and circles.

Step-by-step explanation:

I think

Answer: A.four hundred fifty dollars and five cents

$450.05

Step-by-step explanation:

The correct way to write $450.05 in words on a check is "four hundred fifty dollars and five cents."

A number system is defined as a system of writing to express numbers.

The number 450 can be written as "four hundred fifty," while the decimal portion of 0.05 can be written as "five cents." Together, this gives us "four hundred fifty dollars and five cents."

Option B, "four hundred fifty and five hundredths dollars," is incorrect because it does not include the word "cents" and uses an uncommon way of expressing the decimal portion of the amount.

Option C, "four hundred fifty and 05/100," is also incorrect because it uses a mixed format of words and numbers, which can be confusing and may not be accepted by some banks.

Hence, the correct way to write $450.05 in words on a check is "four hundred fifty dollars and five cents."

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

Answer:

20/1

Step-by-step explanation:

The unit rate in bolts per bookcase is 20bolts per bookcase

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We are Given that 100 bolts in 5 bookcase

We need to find the unit rate in bolts per bookcase

Number of bolts in 5 bookcases= 100

Number of bolts in 1 bookcases= 100/5

                                                     = 20

So, it will be 20 bolts everyday

Thus, the unit rate is 20bolts/sec

Learn more about rate on:

brainly.com/question/19493296

#SPJ6

The Distance of pluto in AU is 39.2.

The astronomical unit ( AU) is a unit of length, roughly the distance from Earth to the Sun and equal to 150 million kilometres (93 million miles) or 8.3 light minutes. The actual distance from Earth to the Sun varies by about 3% as Earth orbits the Sun, from a maximum to a minimum and back again once each year.

1 Astronomical unit (AU) is nearly equals to 93,000,000 miles.

Given that formula for converting any distance d in miles to AU is AU =d/93,000,000.

So,

\(Distance\ of \ pluto \ from \ sun = d = 3,647,720,000\\distance \ d \ in \ miles \ to \ AU \ is \ AU =\frac{d}{93000000} \\\\distance \ pluto \ in \ miles \ to \ AU \ is \ AU =\frac{3,647,720,000}{93000000} \\distance \ pluto \ in \ miles \ to \ AU \ is \ AU = 39.2\)

Therefore, distance of pluto from sun is 39.2 AU

Learn more about astronomical unit here https://brainly.com/question/8590563

#SPJ1

The Distance of pluto in AU is 39.2.

The astronomical unit ( AU) is a unit of length, roughly the distance from Earth to the Sun and equal to 150 million kilometres (93 million miles) or 8.3 light minutes. The actual distance from Earth to the Sun varies by about 3% as Earth orbits the Sun, from a maximum to a minimum and back again once each year.

1 Astronomical unit (AU) is nearly equals to 93,000,000 miles.

Given that formula for converting any distance d in miles to AU is AU =d/93,000,000.

So,

Distance of pluto from sun in miles = d = 3,647,720,000

distance d in miles to AU is AU =\(\frac{ d}{93,000,000}\)

distance pluto in miles to AU is AU = \(\frac{3,647,720,000 }{93,000,000}\)

distance of pluto in miles to AU is AU =39.2

Therefore, distance of pluto from sun is 39.2 AU

Learn more about astronomical unit here brainly.com/question/8590563

#SPJ1

Answer:

OK , so I'll follow all your instructions:

x² + 12x - x + 24 = 0

x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8

(x² + 3x ) (+ 8x + 24) =0

x ( x + 3) + 8 ( x + 3)=0

( x + 3 ) ( x + 8)=0

x +3 = 0 or x + 8= 0

x = -3. or x = -8

Answer:

-3x - 2

Step-by-step explanation:

-6x-4/2

-3x - 2 (divided 2 to everything)

Best of Luck!

Answer:

1mm

cos(60)= 1/2

1/2 x 2 = 1

1 mm

Answer:

SA = 56π cm²

Step-by-step explanation:

the surface area (SA) is calculated as

SA = area of 2 circular ends + area of curved surface

     = 2πr² + 2πrh ( r is the radius and h the height )

here r = 4 and h = 3 , then

SA = 2π × 4² + 2π × 4 × 3

    = 2π × 16 + 2π × 12

    = 32π + 24π

   = 56π cm²

\(4r {}^{3} s - rs + 7r {}^{3} s + 8rs - 3 + 8rs + 6 \\ add \: \: terms \: \: of \: \: same \: \: variables \\ 11r {}^{3} s + 15rs + 3\)

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

To learn more about the mean and standard deviation visit:

brainly.com/question/475676

#SPJ4

Answer:

  (a)  The y-intercept increases

  (e)  The slope increases

Step-by-step explanation:

You want to know the effect of multiplying the function f(x) = 2x +1 by 3.

Multiplying a function by 3 expands it vertically. The vertical expansion is about the x-axis, so the x-intercept remains the same. The slope increases by the expansion factor, as does the y-intercept.

The result is ...

  The y-intercept increases, choice A.

  The slope increases, choice E.

<95141404393>

Multiplying the function f(x)=2x+1 by 3 increases both the y-intercept and the slope of the graph, but does not change the x-intercept. The new function will have a y-intercept at 3 and be steeper due to the increased slope.

When the function f(x)=2x+1 is multiplied by 3, the new function becomes f(x)=6x+3. This has several effects on the graph of the function. The first effect is that the y-intercept increases. The y-intercept is the point at which the line crosses the y-axis, which in the function f(x)=6x+3, is 3. This is higher than the y-intercept of the function f(x)=2x+1, which is 1.

The second effect is that the slope increases. The slope of a function is determined by the coefficient of x, which in the function f(x)=6x+3, is 6. This is higher than the slope of the function f(x)=2x+1, which is 2. Therefore, the line of the function will be steeper.

However, the x-intercept of the function does not change. The x-intercept is the point at which the line crosses the x-axis, which is determined when f(x) = 0. For both the function f(x)=2x+1 and the function f(x)=6x+3, the x-intercept is -1/2.

Learn more about Functions here:

https://brainly.com/question/35114770

#SPJ11

When auditors compare a sample of shipping documents to related sales invoices, they are most directly addressing the assertion of accuracy of sales transactions.

Accuracy assertion refers to the correctness of the amounts and other details in the financial statements.

The shipping documents and sales invoices are important documents that provide evidence of sales transactions. The comparison of these documents helps to ensure that the sales invoices accurately reflect the goods shipped and the prices charged.

By comparing a sample of shipping documents to related sales invoices, auditors can verify that the sales recorded in the financial statements are accurate and complete.

Any discrepancies between the shipping documents and sales invoices can be investigated and resolved, which helps to ensure the accuracy of the sales transactions recorded in the financial statements. Therefore, the accuracy assertion is most directly addressed by this comparison.

Cutoff assertion refers to the timing of transactions recorded in the financial statements.

By comparing shipping documents to sales invoices, auditors can verify that sales have been recorded in the correct accounting period. Any shipping documents that relate to sales that occurred in a different period than the sales invoice can be investigated and corrected if necessary, which helps to ensure the accuracy of the sales transactions recorded in the financial statements.

Overall, comparing shipping documents to related sales invoices is an important procedure that helps auditors gather evidence to support the accuracy, completeness, and cutoff assertions related to sales transactions in the financial statements.

Learn more about Assertion

brainly.com/question/31568667

#SPJ11