Find the length of AB.

Answer: [tex]\frac{3}{2}x+y=-\frac{17}{2}[/tex]

Step-by-step explanation:

The standard form of a linear equation is [tex]ax+by=c[/tex]

So we need to solve for c

Start by simplifying everything in the equation

[tex]y+7=-\frac{3}{2} (x+1)[/tex]

Use the Distributive Property

[tex]y+7=-\frac{3}{2}x-\frac{3}{2}[/tex]

Now subtract 7 from both sides

[tex]y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}[/tex]

Add [tex]\frac{3}{2} x[/tex] to both sides

[tex]y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}[/tex]

NOTE: [tex]-\frac{17}{2}[/tex] simplifies to -8.5 if you find that more desirable

Check the picture below.

liquid always take the shape of the container that contains it, so 25  cm³ from a beaker or pitcher or a curvy pipe dumped into another container, will always have 25 cm³ as its volume.

In this case it went from the cylinder to a prism, same 25 cm³.

notice in the picture, the volume of a green cube with those dimensions is just 1 cm³.

Answer:

if your using a 60,60,60 triangle ; the centers are the same.

The triangle's equilateral.

hope it helps!!!

Step-by-step explanation:

See attached

Hope this helps! :D

Answer:

Step-by-step explanation:

Use the volume formula of a right rectangular prism!

V=whl

Just plug the values in and throw them in your calculator.

w stands for width

h stands for height

l stands for length

Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!

Answer:

Step-by-step explanation:

c) To find slope, choose any two points.

(2,16)  & (4 , 31)

[tex]\boxed{slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

         [tex]\sf =\dfrac{31-16}{4-2}\\\\=\dfrac{15}{2}=7.5[/tex]

The slope is 7.5, which means that Kobby's puppy gained 7.5 pounds a month for the first 6 months.

a) Equation of line in slope -intercept form: y  = mx +b

[tex]y =\dfrac{15}{2}x+b[/tex]

Now, substitute the point (2 ,16) in the above equaiton and find the y-intercept b.

[tex]\sf 16 =\dfrac{15}{2}*2+b\\\\16=15+b\\\\16-15=b[/tex]

b = 1

Equation of the line:

[tex]y=\dfrac{15}{2}x+1[/tex]

b)  y-intercept = 1

The y-intercept is 1, which means that Kobby'spuppy weighed 1 pound at birth

Answer:

70 degrees

Step-by-step explanation:

We know that a straight line is 180 degrees so this equation can be used:

80 + x + 30 = 180
110 + x = 180
x = 70

Hope this helps :)

12.8mm

[tex]0.1\times2^7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left\{2^7\right.=2\times2\times2\times2\times2\times2\times2\\ =0.1\times128\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\left.\ 128\right\}\\ =12.8mm[/tex]

I hope this helps you

:)

Using the z-distribution, as we have the standard deviation for the population, it is found that the 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.90[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Researching on the internet, the other parameters are given by:

[tex]\overline{x} = 6.16, \sigma = 1.3, n = 14[/tex]

Hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 6.16 - 1.645\frac{1.3}{\sqrt{14}} = 5.59[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 6.16 + 1.645\frac{1.3}{\sqrt{14}} = 6.73[/tex]

The 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Step-by-step explanation:

1) Angles opposite congruent sides in a triangle are congruent, so angle H is congruent to angle D.

2) For the same reason as the first problem, angle D is congruent to angle NSD.

3) Since sides opposite congruent angles in a triangle are congruent, segment AH is congruent to segment AS.

4) For the same reason as the third question, segment SA is congruent to segment SN.

Answer:

4/6 > 4/8

Step-by-step explanation:

To see if the following is true:

We can cross multiply:

[tex]\frac{4}{6}\neq \frac{4}{8}[/tex]        {4* 8 = 32}      {4*6=24}

Thus,

[tex]\frac{4}{6}=32[/tex]

[tex]\frac{4}{8}=24[/tex]

Hence, [tex]\frac{4}{6} > \frac{4}{8}[/tex]

We can also turn them into decimal:

[tex]\frac{4}6=0.6667[/tex]

[tex]\frac{4}{8}=0.5[/tex]

0.5 is NOT greater than 0.6667 which also means that 4/8 is NOT greater than 4/6.

~lenvy~

Answer:

x is less or equal to 30

the last Choice is correct.

Answer:

Last option D.

Step-by-step explanation:

IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.

Answer:

Step-by-step explanation:

Variance=0.0016

Standard deviation is the square root of variance.

sigma=sqrt(0.0016)=0.04

mean=0.9 inch

Calculating z for 0.936 inch

z = (0.936 - 0.9)/0.04

= 0.036/0.04

= 0.9

Using normal distribution table

P(x<=0.936 inch)

= P(0.9)

= 0.81594

P(x>0.936) + P(x<=0.936) = 1

P(x>0.936)

= 1 - P(x<=0.936)

= 1 - 0.81594

= 0.18406

= 0.1841

Answer:

Step-by-step explanation:

The amount of interest earned in one year is the product of the interest rate and the amount invested at that rate. The total interest earned is the sum of the amounts of interest earned on each investment.

Let x represent the lower interest rate. Then the higher rate is x+0.03 and the total interest earned is ...

  1100x +1300(x+0.03) = 255

  2400x +39 = 255 . . . simplify

  2400x = 216 . . . . . . subtract 39

  x = 216/2400 = 0.09 = 9% . . . . divide by the coefficient of x

Rosa invested $1100 at 9%, and $1300 at 12%.

Answer:

x = 9,-21

Step-by-step explanation:

Given:

[tex]\displaystyle \large{|x+6|-7=8}[/tex]

Transport -7 to add 8:

[tex]\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}[/tex]

Cancel absolute sign and add plus-minus to 15:

[tex]\displaystyle \large{x+6=\pm 15}[/tex]

Transport 6 to subtract ±15:

[tex]\displaystyle \large{x=\pm 15-6}[/tex]

Consider:

[tex]\displaystyle \large{x= 15-6}[/tex] or [tex]\displaystyle \large{x = -15-6}[/tex]

[tex]\displaystyle \large{x=9}[/tex] or [tex]\displaystyle \large{x=-21}[/tex]

Solution:

[tex]\displaystyle \large{x = 9}[/tex] or [tex]\displaystyle \large{x=-21}[/tex]

__________________________________________________________

Second Method

Given:

[tex]\displaystyle \large{|x+6|-7=8}[/tex]

Transport -7 to add 8:

[tex]\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}[/tex]

Absolute Function Property:

[tex]\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}[/tex]

Consider both intervals:

When x ≥ a then:

[tex]\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}[/tex]

Transport 6 to subtract 15:

[tex]\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}[/tex]

When x < a then:

[tex]\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}[/tex]

Transport -6 to add 15:

[tex]\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}[/tex]

Transport negative sign to 21:

[tex]\displaystyle \large{x=-21}[/tex]

Solution:

[tex]\displaystyle \large{x=9}[/tex] or [tex]\displaystyle \large{x=-21}[/tex]

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

27,700 - 21,400 = 6300

6300 / 9 = 700.

[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]

The formula of r is t/t-2 for equation t=2r/r-1.

Two or more expressions with an Equal sign is called as Equation.

The given equation is t = 2r/r-1

t equal to two times of r divided by r minus one

We need to find the formula for r

t = 2r/r-1

Apply cross multiplication

t(r-1)=2r

Apply distributive property on left side

tr-t=2r

Subtract 2r on both sides

tr-2r=t

r(t-2)=t

Divide both sides by t-2

r=t/t-2

Hence, the formula of r is t/t-2 for equation t=2r/r-1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

Take one side length

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]

Scale factor (B to A)=1/4/3=3/4

#4

Scale factor (A to B)

Scale factor (B to A)

Answer:

y = -9

Step-by-step explanation:

-3y + 7 = 34

-3y = 34 - 7

-3y = 27

3y = -27

y = (-27)/3

y = -9

Answer:

-9

Step-by-step explanation:

b={-2,3)

c=(3,-1)

dot product b.c

=(-2×3) + (3×-1)

=-6+(-3)

=-6-3

=-9

Answer:

D. 60  Mark brainliest<3

Step-by-step explanation:

Each neighbor buys 2 boxes which contains 6 candles meaning they in total contain 12.

5x12 = 60

Answer:

1) x=-30 2) x=-2

Step-by-step explanation:

1) y=x+12.      

   Y= -18

x+12=-18

x=-18-12

x=-30

2) y=x-10

    y= -12

x-10=-12

x=-12+10

x=-2

[tex]\left[3+(-7)\times 2\right] - \left[10 \div(-5)\right]\\\\=(3-14) +\left(10\times \dfrac 15\right)\\\\=-11+2\\\\=-9[/tex]

Answer:

at aircraft(at z) sported by

The probability that Natalie got at least two correct on the last three

true-or-false questions is 1/4.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The sample space is 2. The question is either correct or wrong.  

The probability that Natalie got at least two correct = 1/2 x 1/2 = 1/4

To learn more about probability, please check: https://brainly.com/question/795909

Answer:

Monday

Step-by-step explanation:

If day before yesterday was Saturday, so today is Monday.