A side of the triangle below has been extended to form an exterior angle of 125. Find the value of x

Answer: The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.

Step-by-step explanation:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

The information above are drawn in a Venn diagram in the attached image.

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

Therefore, the number of students who own a cat and a dog is 9.

The probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

It should be noted that 6.208 x 10^9 and 9.7 x 10^4 expressed in scientific notation will be 0.64 × 10^5.

It should be noted that quotient simply means that we've to divide the numbers that are given.

This will be 6.208 x 10^9 and 9.7 x 10^4 expressed in scientific notation will be:

=(6.208 × 20^9) / (9.7 ×10^4)

= 0.64 × 10^5

The value is 0.64 × 10^5.

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Answer:

3.9  It would be between the numbers 3 and 4 on a number line, but closer to 4

Step-by-step explanation:

If you put this in your calculator hit the square root button and then the number 15, your calculator will spit out 3.87298334621 then round this to the nearest tenths place.  Look at the digit 7 to decide to round up for down.  This number would be closer to 3.9 than 3.8

The answer is -2x² + 14X

The first step is to open the bracket by multiplying both values in the bracket by -2x

-2x(x-7)

= -2x² + 14x

Hence the solution to the expression is -2x² + 14x

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The mean of binomial experiment has the given number of trials and the given success probability n=2 p=0.2 is 0.2

It is given that probability of success is 0.2.

According to Bernoulli distribution

Mean = probability of success

         = 0.2

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The complete question is given below :

A binomial experiment has the given number of trials and the given success probability n=2 p=0.2 then find mean

Answer:

b=4

Step-by-step explanation:

it works

Answer:

2x-10=x+2

x = 12

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−10=x+2

Step 1: Subtract x from both sides.

2x−10−x=x+2−x

x−10=2

Step 2: Add 10 to both sides.

x−10+10=2+10

x=12

Answer:

-18

Step-by-step explanation:

-10 + |-4| - |-12|       Since there are the | |, then any negative number inside would become a positive as it will become its absolute value, which for -4, would be 4, because it is 4 spots away from the 0 on a number line and vice versa.

-10 + 4 - 12   Answering from left to right,

-10 + 4, if you would rather make it so they are both equal, you change the + to the opposite which would be - and change the 4 back to a negative because that is what it would be if you changed the equation to be subtraction instead to be easier as they would both be negatives now, so you would subtract -10 - -4 and get -6.

-6 - 12. Again, switch the - to the opposite, which is +, and then make 12 the opposite that it was before so they both share the same symbol, making it

-6 + -12, which would be -18.

Answer: It's 3, because 3 is a prime number and divides evenly into 45.

Step-by-step explanation:

45 / 3 = 15

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The simplified value of the given expression is  -11 - 2x.

BODMAS stands for Brackets of Division, Multiplication, Addition and Subtraction.

Here, we are given an expression as follows-

(3 * -8) + (2x+5) - (4x-8)​

According to the rules of BODMAS, brackets must be solved first. Hence, we simplify the terms in brackets first as given below-

(-24) + (2x + 5) - (4x - 8)

Opening up the brackets we get-

-24 + 2x + 5 - 4x + 8

= -24 + 5 + 8 + 2x - 4x

= -24 + 13 -2x

= -11 - 2x

Thus, the simplified value of the given expression is  -11 - 2x.

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Answer:

a) 2

b) left to right

Step-by-step explanation:

a) slope= (y2 -y1)/(x2-x1)

(-13-(-21))/(-6-(-10))

8/4

2

b) left to right

Answer: 1.90 miles

Step-by-step explanation:

The conversion rate for meters to kilometers is 1 meter for 0.001 kilometers. Using this rate you can do, [tex]3070m*\frac{0.001km}{1m}[/tex]. The m units cancel and you're left with 3.07km. Since we are given the conversion rate of 1 kilometer = 0.62 miles, we can do, [tex]3.07km*\frac{0.62mi}{1km}[/tex]. again the km units cancel and you're left with 1.9034 mi. Rounded to the nearest hundredth to get 1.90.

The sale of investments at a price above cost is 102,000 units.

To record the sale:
(Refer to the table shown below)

To document the sale of the security:

(Refer to the table shown below)

Record the income tax payable for the security gain:

Therefore, the sale of investments at a price above cost is 102,000 units.

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The correct question is given below:
Wharton, Inc. pays income taxes on capital gains at a rate of 30 percent. On December 31, 2015, the company owns marketable securities that cost $180,000 but have a current market value of $520,000. Record the sale of investments at a price above cost.

Answer:

Pick any x coordinate to substitute for x, whatever answer you get is your Y coordinate

Step-by-step explanation:

Example

x=3

(3/2)*(3) + 2 = 6.5

So my coordinates end up being (3,6.5)

Answer:

find the value of 8x³-y³

a)Amount of money left on Pablo's card in dollars = $100 - $15x

= $(90 - 15x)

b) Amount of money left on Teresa's card in dollars= $70 - $10x

= $(70 - 10x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$100 - 15x = $70 - 10x

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Pablo

Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x

For Teresa,

Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.

Hence, x number of pizzas cost =$10 × x

= $10x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$70 - $10x

Amount of money left on Pablo's card in dollars = __________

Amount of money left on Teresa's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$100 - 15x = $70 - 10x

Collect like terms

-15x + 10x = $70 - $100

-5x = -30

x = 30/5

x = 6

Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.

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Answer:

136

Step-by-step explanation:

2720 / 20 = 136

The person who has a greater number will be Carlos since 5.3 is more than -5.3.

It should be noted that Carlos find the absolute value of -5.3. This will be - (-5.3) = 5.3.

On the other hand, Jason find the opposite of -5.3 and then find the absolute value of his answer. This will still be -5.4

Therefore, the person who has a greater number will be Carlos.

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Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

Rate or speed is expressed as distance walked or traveled per unit time.

R = s/t

Given the data in the question;

First convert 41 minutes to seconds.

⇒ 41min = ( 41 × 60 )s = 2460sec

Now, Elapsed time t = 2460s + 56.23s = 2516.23 second

Next, we determine the rate.

R = s / t

R = 10000m / 2516.23 s

R = 3.97m/s

Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

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1. Rewrite Divide

2. Rewrite Simplify

3. Rewrite Simplify Expressions

4. Simplify Fractions

5. and Solve

The order from least to greatest is  -14.4 < -4.6 < -4.2 < 14.7

Given sequence of numbers is -4.2, -4.6, -14.4, 14.7

Negative numbers:

A negative number is a number that is less than zero which is often used to represent the magnitude of a loss. It can be written from highest to lowest in magnitude.

So the given sequence can be written from least to greatest as

-14.4 < -4.6 < -4.2 < 14.7

Therefore, The order from least to greatest is  -14.4 < -4.6 < -4.2 < 14.7

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The peak height reached at 144 feet, and the graph passing through points (0, 120), (1, 144), (2, 120), gives;

1. The vertex form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

a = The leading coefficient

(h, k) = The coordinates of the vertex.

Let t represent the time of travel of the ball and let h represent the height.

From the given table, we have;

f(t) = a•(t - h)² + k

f(0) = 120 = a•(0 - h)² + k = a•h² + k

120 = a•h² + k

f(1) = 144 = a•(1 - h)² + k = a•(h² - 2•h + 1) + k

f(1) = a•(h² - 2•h + 1) + k

f(1) - f(0) = 144 - 120 = 24 = -((2•h - 1)•a

24 = -((2•h - 1)•a

f(2) = 120 = a•(2 - h)² + k

f(2) - f(1) = -24 = -((2•h - 3)•a

(f(1) - f(0)) - (f(2) - f(1)) = 48 = -2•a

Therefore;

a = -24

24 = -((2•h - 1)•a

24 = -((2•h - 1)×(-24)

-1 = -((2•h - 1)

2•h - 1 = 1

h = 2/2 = 1

h = 1

120 = a•(2 - h)² + k

120 = (-24)•(2 - 1)² + k

k = 120 + 24 = 144

Which gives;

The vertex form is y = -24•(x-1)² + 144

From the vertex form, we have;

y = -24•(x-1)² + 144 = -24•(x²-2•t+1) + 144

y = -24•(x²-2•tlx+1)+ 144 = -24•x²+48•x - 24 + 144

y = -24•x²+48•x + 120

y = -24•x² + 48•x - 24 + 144 = -24•x²+ 48•x + 120

y = -24•x² + 48•x + 120

The height of the ball after 1.5 seconds is

y = -24×1.5² + 48×1.5 + 120 = 138

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Answer:

-4

Step-by-step explanation:

4+(-4) =

4-4 =

0

Answer:

  (A)  (x -2)

Step-by-step explanation:

You want to know a factor of the function whose values given in the table include (x, y) = (2, 0).

A polynomial function y = p(x) will have a factor of (x-a) if and only if p(a) = 0.

The table shows y=0 for x=2, so this polynomial function will have a factor of (x -2).

__

Additional comment

The function shown in the table is ...

  y = (x -2)²

so it actually has two factors that are (x -2).

You can tell this is a polynomial function of degree 2 because the 2nd differences are constant.

First differences between successive y-values: -7, -5, -3, -1, 1, 3

Second differences between successive first differences: 2, 2, 2, 2, 2.

Step-by-step explanation:

2/5

5/6

1/3

3/7

...........

Answer: C, B, D, A

Step-by-step explanation:

[tex]\ln(xy)=\ln x+\ln y\\\\\ln(x/y)=\ln x-\ln y\\\\\frac{\ln y}{\ln x}=\log_{x} y\\\\\ln (x^y)=y \ln x[/tex]

These are all standard logarithm rules.

Answer: 5541 pages

Step-by-step explanation:

2489+3052= 5541 pgs

The amount that Tristan would earn in 5 years is  $657.30.

When an amount is compounded monthly, it means that both the amount invested and the interest that has already accrued increases in value every month or 12 times in a year.

The first step is to determine the future value of the investment.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

$2000 x (1.00475)^(12 x 5)

$2000 x (1.00475)^60

= $2,657.30

Amount he would earn = $2,657.30 - $2,000 = $657.30

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Answer:

Step-by-step explanation:

Simplify ((b^4)^4) / ((b^2)^3).First lets simplify the numerator. ((b^4)^4). The notation is b to the fourth power, to the fourth power, which is multiplying sixteen b’s. That explains why we multiple the exponents, to get b^(16) for the numerator.Similarly we simplify the denominator by multiplying the exponents for ((b^2)^3) = b^6.Putting the simplified numerator and denominator together is (b^(16))/(b^6).The six b’s in the denominator cancel six b’s in the numerator for (b^(16))/(b^6) = b^(10). Final answer b^(10).Note, another way to view (b^(16))/(b^6) = (b^(16)) * (b^(-6)) then add the exponents to have the same answer (b^(10))

Oscar bought 8.73 meters of fence board to build the fence.

The metric system and the International Systems of Units both use the metre (m), also spelt as meter, as the basic unit of length (SI). In the British Imperial and American Customary systems, it is equivalent to roughly 39.37 inches.

A fence is a building used to enclose a space, usually outdoors. It is often made of posts joined by boards, wire, rails, or nets.

Oscar purchases three boards that measure 2.91 meters long each to build a fence.

Let say the length of one board be x = 2.91 meters.

Then the total length of fence board Oscar purchases is:

= 3x = 3 × 2.91 meters = 8.73 meters

Hence Oscar purchased 8.73 meters of fence board.

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