Solve the equation for all real solutions.
12v2 + 310 + 20

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Cassie need to make the model is 2250 cm²

A square pyramid has a square base and four lateral faces in geometry. A pyramid is a polyhedron with a base and three or more triangular faces that meet above it .

The complete question is attached below:

We know,

A= a(a+ √(a²+4h²))

and, a =25cm, h=30 cm

So,

A= 25(25+ √(25²+4*30²))

=25(25+65)

= 2250 cm²

Hence, Cassie need to make the model is 2250 cm²

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Answer:

the answer is 49

Step-by-step explanation:

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

Answer:

for 8 gram bottle =  2 cases

for 20 gram bottle = 3 cases

for 30 gram bottles = 2 cases

Step-by-step explanation:

Determine how many cases of each bottle type Damien needs to order

i) For 8-gram bottles

available bottles = 156

required amount ≥ 400

extra bottles to be ordered = 400 - 156 = 244 bottles

since case contains 140 bottles , the number of cases to be ordered

= 244 / 140 = 1.74 cases ≈ 2 cases

ii) for 20 gram bottles

available bottles = 78

required amount  ≥ 400

Extra bottles to be ordered = 400 - 78 = 322 bottles

therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases

iii) For 30 gram bottles

available bottles = 132

required amount  ≥ 400

Extra bottles to be ordered = 400 - 132 = 268

therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

So the value of X is 15 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

AC=180°

\(3x + 8x + 15 = 180 \\ 11x = 165 \\ x = 15\)

Answer:

a) 0.4219 = 42.19% probability that one out of the next four cars needs oil.

b) 0.3115 = 31.15% probability that two out of the next eight cars needs oil.

c) 0.2581 = 25.81% probability that three out of the next 12 cars need oil.

Step-by-step explanation:

For each car, there are only two possible outcomes. Either they need oil, or they do not need it. The probability of a car needing oil is independent of any other car, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

One out of four cars needs to have oil added.

This means that \(p = \frac{1}{4} = 0.25\)

a. One out of the next four cars needs oil.

This is P(X = 1) when n = 4. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{4,1}.(0.25)^{1}.(0.75)^{3} = 0.4219\)

0.4219 = 42.19% probability that one out of the next four cars needs oil.

b. Two out of the next eight cars needs oil.

This is P(X = 2) when n = 8. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.25)^{2}.(0.75)^{6} = 0.3115\)

0.3115 = 31.15% probability that two out of the next eight cars needs oil.

c.Three out of the next 12 cars need oil.

This is P(X = 3) when n = 12. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{12,3}.(0.25)^{3}.(0.75)^{9} = 0.2581\)

0.2581 = 25.81% probability that three out of the next 12 cars need oil.

Answer:

a) y = 2x -2

b) Equation: q = 2p - 2  ----(1)

p² + q² = 4   ----(2)

The coordinates of C may be (0, -2) or (6/5, 8/5)

Step-by-step explanation:

a) Step 1: Find the coordinates of midpoint, P of AB

x-co-ordinate of P = (x₁ + x₂)/2 = (-1 + 7)/2 = 3

y- co-ordinate of P = (y₁ + y₂)/2 = (6 + 2)/2 = 4

Step 2: Determine the gradient, m₂ of perpendicular bisector of AB

For perpendicular lines, m₁ * m₂ = -1 where m₁ is slope of AB

m₁ = (2 - 6)/(7 - -1) = -4/8 = -1/2

-1/2 * m₂ = -1

m₂ = 2

Step 3: Deriving the equation of the perpendicular bisector in the form y = mx + c

y - y₁ = m(x - x₁); substituting the values of the midpoints of the line

y - 4 = 2(x - 3)

y - 4 = 2x - 6

y = 2x -2

b) Step 1: Derive the values of the p and using the formula of distance between two points:

y = 2x - 2

therefore q = 2p - 2  ----(1)

OC = √(x₂ -x₁)² + (y₂ - y₁)²

2 = √(p - 0)² + ( q - 0)²

2 = √p² + q²

squaring both sides

p² + q² = 4   ----(2)

Substituting (1) in (2)

p² + (2p - 2)² = 4

p² + 4p² - 8p + 4 = 4

5p² - 8p = 0

p(5p - 8) = 0

Therefore p = 0 or 5p - 8 = 0

p = 0 or p = 8/5

Substituting p = 0 in (1)

q = -2

substituting p = 8/5 in (1)

q = 2(8/5) - 2

q = 16/5 - 2

q = 6/5

Hence the coordinates of C may be (0, -2) or (6/5, 8/5)

The number of white tiles is 20 and the number of shaded tiles is 24

The ratio of white tiles to shaded tiles is given as 5:6

Total number of tiles = 44 tiles

Let x be the number of shaded tiles then the number of white tiles will be 44-x

Formualting the equation using the above variables we get:

Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile

= 44-x/x = 5/6

= 264-6x = 5x

= 264 = 11x

x = 24

Hence, the number of white tiles is 20 and the number of shaded tiles is 24

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Answer:

the answer is 529

Step-by-step explanation:

divide 7,406 and 14 and the answer is 529

To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.

First, write the numbers with the decimal points aligned:

320.041

- 47.960

Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.

Continue subtracting each digit in the same way:

   320.041

-   47.960

= 272.081

Therefore, 320.041 minus 47.96 is equal to 272.081.

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Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

4 + 7 = 11

2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).

Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

Answer: 140°

Step-by-step explanation:

look at the little number

Answer:

0.375 lb

Step-by-step explanation:

For this one all you need to do is convert 6 oz to pounds and to do this

For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:

pounds = ounces ÷ 16

1. Take measurement

2. Divided ounces by 5

3. Round the result to desired decimal places.

And don't just put this answer because I am not very sure.

1.875 pounds of dog food can be eaten by 5 dogs per day.

What information do we have?

Number of dogs = 5

Each dog eats per day = 6 oz

Total dog food eaten per day = Number of dogs × Each dog eats per day

Total dog food eaten per day = 5 × 6

Total dog food eaten per day = 30 oz

1 pound = 16 oz

So,

Total dog food eaten per day = 30oz / 16oz

Total dog food eaten per day =  1.875 pound

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Answer:

the answer should be 200

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:

2.6 x 0.47 = 1.222

Step-by-step explanation:

Answer:

$0.05 per oz.

Step-by-step explanation:

2.39/48=0.049...... which is 0.05 to the nearest tenth. Money is never the unit rate so that is why you divide money by the measurement, in this case, ounces.

Rational numbers, Real numbers, Natural numbers, whole number

Rational numbers can be written as a fraction. 49 can be written as a fraction

Real numbers consists of natural numbers, whole umbers, integers and rational numbers.

Since it is already a rational number, then it is also a real number

Natural numbers are counting numbers from 1 to positive infinity. 49 is between 1 to positive infinity.

Hence, it is a natural number

whole numbers start from 0 to positive infinity. 49 is between 0 to positive infinity.

Hence, it is a whole number

Irrational numbers cannot be written in the form of fraction. SInce 49 can be written as fraction, it is not an irrational number

Hence, the set(s) of numbers would you find the number 49 are Rational numbers, Real numbers, Natural numbers, whole number

The point on the number line represents the product (- 4), (- 2), and (- 1) will be the negative 8. Then the correct option is A.

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The point on the number line represents the product (- 4), (- 2), and (- 1) will be

Then the product will be

-4 x -2 x -1 = -8

Then the correct option is A.

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Answer: See below

Step-by-step explanation:

The usage of passive income instead of collecting and saving your money without risking a loss through investments:

Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.

Answer:

X=117.9

Step-by-step explanation:

I got itttt

Answer:

The roots are: 1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

Now, factorizing x² - 6x - 7 by middle term splitting.

x² - 6x - 7 = x² - 7x + x - 7

⇒ x(x - 7) + 1(x - 7)

⇒ (x + 1) (x - 7)

Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

Thus, Roots of the given polynomial function is x = -1, -1, 7

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

274 squared cm.

Step-by-step explanation:

in case you don't understand feel free to ask.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

90,000

Step-by-step explanation:

3750x24=90,000