the slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line

Add 5 to both sides.

x−5+5≥9+5

Answer: x≥14

Using mathematical operations we know that 170 straws were used in all.

So, the total straws used:

Then, calculate as follows:

Therefore, using mathematical operations we know that 170 straws were used in all.

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Answer:

The perimeter of [tex]\triangle DMN[/tex] will be 62.1939...

Step-by-step explanation:

In [tex]\triangle DMN[/tex], the length of side [tex]DM = 10\sqrt{3}[/tex] and the measures of [tex]\angle M[/tex] and [tex]\angle N[/tex] are 75° and 45° respectively.

As the sum of all angles in a triangle is always 180°, so the measure of [tex]\angle D[/tex] will be:  180°- (75°+45°) = 180°- 120° = 60°

Now using Sine rule, we will get......

[tex]\frac{MN}{Sin(D)}=\frac{DN}{Sin(M)}=\frac{DM}{Sin(N)}\\ \\ \frac{MN}{Sin(60)}=\frac{DN}{Sin(75)}=\frac{10\sqrt{3}}{Sin(45)}\\ \\ MN= \frac{10\sqrt{3}}{Sin(45)}*Sin(60)=21.2132...\\ \\ DN=\frac{10\sqrt{3}}{Sin(45)}*Sin(75)=23.6602...[/tex]

So, the perimeter of [tex]\triangle DMN[/tex] will be: [tex]DM+MN+DN = 10\sqrt{3}+21.2132...+23.6602... =62.1939...[/tex]

Answer: 546

Step-by-step explanation:

   14     ⇒    10 + 4    

x  39     ⇒   30 + 9      

   36 |   ←    9 x 4

   90 |   ←    9 x 10

  120 |   ←  30 x 4

 300 |   ←  30 x 10

 546

x = [tex]\frac{51}{5}[/tex]

subtract [tex]\frac{4}{5}[/tex] from both sides of the equation

x = 11 - [tex]\frac{4}{5}[/tex] = [tex]\frac{55}{5}[/tex] - [tex]\frac{4}{5}[/tex] = [tex]\frac{51}{5}[/tex]

Answer:

10.92 or 10 23/25

Step-by-step explanation:

What you do is you try to get X by itself so put the fraction 4/5 on the other side so that is turns out to be 11-4/5. Now you can turn 4/5 into a decimal which would be .8 and subtract that by 11which gives you 10.92 or if you want to keep it as a fraction .92 as a fraction is 23/25 so you get 10 23/25

Given function: P(x) = -10x + 80.

Where function represents the amount of granola, in ounces and x represents the number of ounces Paula puts in each bag.

Range of the function is the values of the function we would get.

That is the amount of granola in ounces for different x values.

For x=0 the number of ounces would be -10(0)+80 = 80.

And for x=8, it would be -10(8) + 80 = 0.

But even we could take decimal values too.

Like x=0.5 ounces, x=0.55 ounces etc.

And that 0.55 would give a decimal value.

Therefore, we can take any real number for x between 0 and 8.

But we need to find the range.

So, the range would be between 0 and 80 and it could be any real number.

Therefore, correct option is :

C. all real numbers between and including 0 and 80.

it is A. for all plato users

The number 87.65487.65487, point, 654 can be placed on a place value chart as follows:

Tens Ones . Tenths Hundredths Thousandths

888 777 ..point 666 555 444  

Decimal place value

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

Example: 0.810.810, point, 81

The number 0.\blueD8\greenD10.810, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD is made up of \blueD88start color blueD, 8, end color blueD tenths and \greenD11start color greenD, 1, end color greenD hundredth.

We can also write this as:

0.\blueD8\greenD1=\blueD{0.8}+\greenD{0.01}0.81=0.8+0.010, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, 0, point, 8, end color blueD, plus, start color greenD, 0, point, 01, end color greenD

or

0.\blueD8\greenD1=\blueD{\dfrac8{10}}+\greenD{\dfrac1{100}}0.81=  

10

8

​  +  

100

1

​  0, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, start fraction, 8, divided by, 10, end fraction, end color blueD, plus, start color greenD, start fraction, 1, divided by, 100, end fraction, end color greenD

Or we can use a place value chart:

Ones . Tenths Hundredths

000 ..point \blueD88start color blueD, 8, end color blueD \greenD11start color greenD, 1, end color greenD

Want to learn more about decimal place value? Check out this video.

Want to review whole number place value? Check out this article.

Practice

precise and accurate are two different things in measurements:

most precise means the most detailed. here Alice has 2 decimals so her measurements are the most precise.

but her measurements are very different so they are not accurate.

most accurate measurements are Ivan's as they are very close to each other.

Answer:

✔ Ivan

 took the most accurate measurements.

✔ Alice

took the most precise measurements.

Step-by-step explanation:

got it right:)

Hello,

Please, see the attached graph.

Thanks.

Answer: :)

Step by Step: :)

667 pounds is the answer. There are 2000 pounds in a ton.  1/3 of a ton is 666.666667 pounds.  I think this question is a conversion from tons to pounds?

Last month, Carrie had 14 coins.

Answer:

12.36

Step-by-step explanation:

Answer:

Its: 12.36

Step-by-step explanation:

Answer:

5x^2+x+1

Step-by-step explanation:

the expression for f(x) - g(x) is 5x² - 9x - 1.

To find f(x) - g(x), we simply subtract the expression for function g(x) from the expression for f(x):

f(x) - g(x) = (5x² - 4x) - (5x + 1)

Now, let's simplify the expression by combining like terms:

f(x) - g(x) = 5x² - 4x - 5x - 1

Next, combine the x terms:

f(x) - g(x) = 5x² - (4x + 5x) - 1

Now, combine the x terms inside the parentheses:

f(x) - g(x) = 5x² - 9x - 1

So, the expression for f(x) - g(x) is 5x² - 9x - 1.

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In step 2 multiply what is inside the parenthesis by 7 (distributive property):

7 * x = 7x

7 * 3 = 21

In step 3 subtract -7x on both sides of the equation.  (Property of subtraction of equality)

Then -7x + 4x = -3x

7x-7x + 21 = 21

In step 4, both sides of the equation are divided by -3.  (owned by the equality division)

So:

-3x / -3 = x

-21 / -3 = 7

Recall that the division of equal signs results in a positive number.

need more info in order to kinda see how many women there were

Marc and Corlina will have the same amount of CD's after 8 months.

45 + 4(8) = 77

61 + 2(8) = 77

The area of a rectangle is the width times the length:

[tex] A = w\cdot l \iff 228 = w\cdot 12 \iff w = \dfrac{228}{12} = 19 [/tex]

The perimeter is twice the sum of the dimensions:

[tex] 2p = 2(12+19) = 2\cdot 31 = 62 [/tex]

The perimeter of the rectangle with dimensions 19 ft*12 ft comes to be 62 square feet.

Suppose the breadth of the rectangle is x.

The perimeter of a rectangle is the sum of all its sides i.e. the sum of two lengths and two breadths.

If length and breadth are a and b respectively then perimeter =2(l+b).

According to the question

Length =12 ft

Area=228 square ft

So, length * breadth = 228

[tex]12x =228[/tex]

[tex]x=\frac{228}{12}[/tex]

x=19

So, breadth of the rectangle =19 ft

So, perimeter = 2(12+19) = 62 square feet.

Hence, the perimeter of the rectangle with dimensions 19 ft*12 ft comes to be 62 square feet.

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[tex]8x > -32\qquad|\text{divide both sides by 8}\\\\x > -4\\-----------------------------------\\\\6x\leq-48\qquad|\text{divide both sides by 6}\\\\x\leq-8\\\\Answer:\ c)\ x > -4\ or\ x\leq-8[/tex]

Answer:

A. It is the total cost for entertainment and cleaning.

Step-by-step explanation:

If we look at the information it says:

Facility rental is dependent upon number of hours we are renting the facility for.

Linen, food, and decoration also depends upon the number of attendees. Also, the table decorations depend upon the number of attendee.

The things that are independent of the number of attendees are entertainment and cleaning fee. These are fixed charges.

So, the total cost for entertainment and cleaning are the constants in the expression. This is the amount that will remain constant regardless of the number of attendees.

ANSWER

In 16 years time.

EXPLANATION.

If the number of subscribers is 324 million, then it means

[tex]f(t)=324[/tex]

But we were given that,

[tex]f(t)=18.997t+16.711[/tex]

This implies that,

[tex]324=18.997t+16.711[/tex]

We now solve for t,

[tex]324-16.711=18.997t[/tex]

[tex]307.289=18.997t[/tex]

[tex]\frac{307.289}{18.997}=t[/tex]

[tex]16.17566=t[/tex]

That will be approximately in the 16th year.

In order to calculate the year where the number of US cell phone subscribers matches a certain number using the given linear model equation, you solve for the time variable. With the specified 324 million subscribers, the corresponding year would be approximately 2011.

To use the provided linear model F(t) = 18.997t + 17.711 to predict the year where the number of subscribers will be 324 million, we need to solve the equation for t with C(t) set to 324:

324 = 18.997t + 17.711

To do so, subtract 17.711 from both sides to isolate the term with t:

324 - 17.711 = 18.997t

Then, divide both sides by 18.997 to solve for t:

(324 - 17.711) / 18.997 = t

After calculating, you will get approximately t = 16.123. Remember, t is the number of years after 1995, so you would add 16 (rounded from 16.123) to 1995. Thus, the model predicts that the number of US cell phone subscribers will reach 324 million in 2011.

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I'm so sorry if these are wrong...

1. y=-7/5x-3

2. y=1x+6

3. y=5/4x-8

4. y=1/4x-2

5.y=-5x-2

6. y=-2/5x-3

7. y=5x+19

8. y=2x-6

9. y=-4/5x-5

10. y=-4/5x+4

Answer:

0.85 mile(rounded to nearest hundredth)

Step-by-step explanation:

We have to convert 1500 yards into miles.

To convert 1500 yards into miles, we first need to know the relation between yards and miles.

So we have,

[tex]1 \:\text{mile}=1760\:\text{yards}[/tex]

Now, to convert 1500 yards into miles, we need to know how many miles are there in 1 yard.

So, we have

               [tex]1\:\text{yard}=\frac{1}{1760} \:\text{miles}[/tex]

[tex]\implies1500 \:\text{yards}=\frac{1500}{1760} \:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}=\frac{150}{176} \:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}= \frac{75}{88}\:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}= 0.85\:\text{mile}[/tex]

Hence, 1500 yards is 0.85 mile, rounded to nearest hundredth.

Use synthetic division to solve these problems

5 | 1    -4   -7    10

  |  v    5    5   -10

     1     1    -2    0

This leads to x^2+x-2          

Next we find what adds to 1 and multiplies to -2

The factors of f(x) are 2 and -1, written out as (x+2) and (x-1)

-1/2 | 2     3     -23    -12

      | v     -1       -1      12

        2      2    -24     0

This leads to 2x^2+2x-24

Next, multiply the 2 from the a value (since a is the value with x^2 and c is the value without any x) with -24, which is -48

Now find what adds to 2 and multiplies to -48

The values for this are 8 and -6, but keep in mind, when multiplying the value of a by c, you now have to add the values in place of what you tried adding it to, this time in the problem we found using synthetic division, in this case the 2 in the b value (the middle of the equation, or the value with only one x)

2x^2+8x-6x-24

When group factoring, you'd get 2x(x+4) -6 (x+4)

So, the factors of g(x) are (x+4) and (2x-6)

First we have to see which is the right angle.  This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.  

So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)

The length is given by

[tex]d = \sqrt{ (1 - -3)^2 + (2 - -1)^2} = \sqrt{4^2+3^2}=\sqrt{25} = 5[/tex]

This is a 3/4/5 right triangle.

Answer: 5

Answer:

[tex]f(x)=\left \{ {{x^2+4}\ \ \ \ \ x<2 \atop {-x+4}\ \ \ x\geq 2}\right[/tex]

C is correct

Step-by-step explanation:

In the given graph function break at point x=2.

Left side about point x=2 is parabolic and right side straight line.

So, it would be piece wise function.

For parabola:

vertex: (0,4) and passing point (2,8)

[tex]y=a(x-h)^2+k[/tex]

[tex]y=ax^2+4[/tex]

[tex]a=1[/tex]

[tex]y=x^2+4[/tex]    For x<2

For straight line:

Twp points (4,0) and (2,2)

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-2=\dfrac{0-2}{4-2}(x-2)[/tex]

[tex]y-2=-1(x-2)[/tex]

[tex]y=-x+4[/tex]     For x≥2

Hence, The piece wise function will be

[tex]f(x)=\left \{ {{x^2+4}\ \ \ \ \ x<2 \atop {-x+4}\ \ \ x\geq 2}\right[/tex]