A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?

9514 1404 393

Answer:

  f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

  [tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

Answer:

AC Midpoint (2,0)-

CB Midpoint (5,-4)

midlength is 5

Step-by-step explanation:

midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]

A(2,4) C(2,-4)

[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]

(2,0)

C(2,-4) B(8,-4)

[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]

[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex]  midpoint is  (5,-4)

Distance between the 2 midpoints is the midsegment

(2,0) and (5,-4)

[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]

[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]

Answer: Yes, it is a right triangle

Step-by-step explanation:

Use the pythagorean theorem in order to determine whether this triangle is a right triangle. Plug in the values given in the problem (4, 7.5, and 8.5) into this equation (a^2+b^2=c^2). This gives you 4^2+7.5^2=8.5^2, and this equation is valid because 4^2+7.5^2 does equal 8.5^2.

Answer:

Yes, because 4^2+7.5^2=8.5^2.

Step-by-step explanation:

Slay just did this on my test good luck

9514 1404 393

Answer:

  1

Step-by-step explanation:

The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.

Answer:

2.99

Step-by-step explanation:

if you are trying to ask what she payed for tax the anwser is above

If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm

ans.C.4cm

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

37% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.37[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]

[tex]n = 1030.4[/tex]

Rounding up:

A sample size of 1031 is required.

Answer:

quadratic

Step-by-step explanation:

Answer:

###########

Step-by-step explanation:

Answer:

Solution given:

x+14=5x-74[corresponding angle]

74+14=5x-x

x=88/4

x=22

Answer:

6mi per 1.5h

Step-by-step explanation:

4miles per 1h

6miles per 1.5h

4×1.5=6

The sample mean is $641.80 thousand and the sample median is $583 thousand.

This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and  price and half the sales were more than the median price.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 +  543 + 557+  676) = 6418

total number = 10

Mean = $6418 / 10 = $641.80

= $641.80 thousand

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288

The two numbers in the middle of the set of numbers are 575 and 591

Median = (575 + 591) / 2 = $583

$583 thousand

To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults

Answer:

All the 3 choices are correct.

Step-by-step explanation:

11:5   11 divided by 22 is 1/2  and 5/10 is 1/2

110/50   110 divided by 22 is 5 and 50 divided by 10 is 5

33/15     33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2

Answer:

x=20°

Step-by-step explanation:

x° + 100° + 3x° = 180° => 4x°+100°=180° => 4x=180°-100°=80° => x=80° : 4 = 20° => x=20°

The value of angle x will be equal to 20°.

If two angles sum up to 180 degrees, they are referred to as supplementary angles. A straight angle is created by supplementary angles (180 degrees)

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the three angles are x, 3x, and 100 degrees. The value of the angle x will be calculated as below:-

For supplementary angles, the sum of the angles is 180 degrees.

x° + 100° + 3x° = 180°

4x°+100°=180°

4x=180°-100°=80°

x=80° : 4  

x=20°

Therefore, the value of angle x will be equal to 20°.

To know more about supplementary angles follow

https://brainly.com/question/17706490

#SPJ5

Answer: 49/50

Step-by-step explanation:

81 + 17 + 2 = 10

98/100 = 49/50

The probability as a fraction in simplest form is 49/50.

Answer:

299

Step-by-step explanation:

23x13 = 299

Answer:

1st option (c = 15.00 + 3.50n)

Step-by-step explanation:

Answer:

A. c=15.00+3.50n

Step-by-step explanation:

We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.

22.00-18.50=3.50

A charm is $3.50.

We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.

18.50-3.50=15.00

The bracelet by itself is $15.00

Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is

A. c=15.00+3.50n

Answer:

4.5

Step-by-step explanation:

[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]

[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.

Answer:

Step 3: record transactions into the journal; Step 4: post entries into the ledger

I think you are happy with this answer

Answer:

there is two diagram 2,3, 4 and 5 this is the answer give

Answer: a is correct

Step-by-step explanation:

At 25 years

Step-by-step explanation:

123,000 x 2.375% = 2,921.25.  This gives you the rate that the population is decreasing.  How long will it take to get to 50,000. Do reverse operations to find this answer: 123,000 - 50,000 = 73,000,  the population need to decrease by 73,000 to get to 50,000.  So let's multiply our rate of 2,921.25 x 25 = 73,031  and our final step..  123,000 - 73,031 = 49,969 below 50,000

Answer:

10

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

(hope you get a 100%:))

Answer:

part a: 6m+12+42m

48m+12=0

m = -0.25

Answer:

Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n