Graph the equation. y=-x^2-6x-3

The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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Answer:

x=7

Step-by-step explanation:

5x-15=30

add 15 to both sides

5x=45

divide by 5

x=7

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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The function represents the distance when he uses g gallons on a highway.

The given function is:

If we want to find how far does all drives if he uses 4 gallons of gas, we need to replace g=4.

Then:

Hence, he will be 120 miles away if he uses 4 gallons of gas.

Answer:

6

Step-by-step explanation:

Answer:

7 years would be around 84 months

Step-by-step explanation:

Months to years is converted by multiplying years by 12, hence:

12x7=84

=84 months

Hope this helped, have a good day!

Answer:

3744:\p=11756.16 m^2

Step-by-step explanation:

\( {12}^{2} \pi(18 + 9) - {4}^{2} \pi \times 9 = 3744\pi \: \: {m}^{2} \)

Answer:

64° aka D

Step-by-step explanation:

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

=  64°

hope i helped

-lvr

\(354\frac{1}{13}=354+\frac{1}{13}=354+0.0769=354.0769= 354\\ \)

ANSWER: 354

Ok done. Thank to me :>

Answer:

b) ∛7

Step-by-step explanation:

If p= 2q^3 - 1, what is the value of q when p is 13

Hence:

13 = 2q³ - 1

We add 1 to both sides

13 + 1 = 2q³ - 1 + 1

14 = 2q³

We divide both sides by 2

14/2 = 2q³/2

7 = q³

q³ = 7

We take the cube root of both sides

∛q³ = ∛7

q = ∛7

Option b is the correct option

Using tangents theorem, we can find the value of the missing length,

n = 18.7units.

"To touch" is how the word "tangent" is defined. The same idea is conveyed by the Latin word "tangere". A tangent, in general, is a line that, while never entering the circle, precisely touches it at one point on its circumference. A circle has a number of tangents. They make a straight angle with the radius.

Here in the diagram,

We can see that as per the central angle and tangent theorem,

AB/BC = ED/DC

⇒ 17/10 = n/11

Cross multiplying:

⇒ 17 × 11 = n × 10

⇒ 10n = 187

⇒ n = 187/10

⇒ n = 18.7

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hello

the answer to the question is:

x - 10 = 6 + 5x ----> x - 5x = 6 + 10 ----> - 4x = 16

----> x = - 4

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Answer:

A. 5/7 x

D. 7/9x

Step-by-step explanation:

I hope this helped ♡ sorry if im wrong

By using the concept of profit, it can be calculated that-, Profit for renting 6 bicycles = $157

What is profit?

Profit is a financial gain earned when the revenue from a business activity exceeds the expenses associated with it. This gain is usually measured in monetary terms, but it could also be measured in terms of goods or services. Profit is the main reason why businesses exist and it can be used to reinvest in the business, pay shareholders, purchase new assets, or do other things. Profit is the lifeblood of any business and it is essential for sustaining and growing its operations.

For Daniela’s bicycle business the net profit (in dollars) for renting b bicycles is: P(b)=25b+7.

Number of bicycles Daniela rented = 6

So Profit for renting 6 bicycles = $(\(25 \times 6 + 7\)) = $157

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Answer:

Step-by-step explanation:

\(y_{1}\) = - 4 - 2( - 3) = 2

\(y_{2}\) = - 4 - 2( - 2) = 0

\(y_{3}\) = - 4 - 2( - 1) = - 2

\(y_{4}\) = - 4 - 2( 0 ) = - 4

\(y_{5}\) = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

757112 or 7.57112 x 10^5

Step-by-step explanation:

45 x 7^5 + 809 - 12

45 x 16807 + 809 - 12

756315 + 809 - 12

757124 - 12

757112 or 7.57112 x 10^5

(A) The percentage is approximately 62.07%.

(B) percentage of years will have an annual rainfall of more than 39 inches is 72.17%.

(C) the smaller percentage from the larger one: 50.48% - 22.17% = 28.31%.

First, let's recall that the normal distribution is characterized by the mean and standard deviation. In this case, the mean annual rainfall is 42.3 inches and the standard deviation is 5.6 inches.

To answer your questions, we'll use the Z-score formula: Z = (X - mean) / standard deviation. Then, we can use a Z-table or calculator to find the percentage.

a) For annual rainfall less than 44 inches:
Z = (44 - 42.3) / 5.6 = 1.7 / 5.6 ≈ 0.3036
Using a Z-table or calculator, the percentage is approximately 62.07%.

b) For annual rainfall more than 39 inches:
Z = (39 - 42.3) / 5.6 = -3.3 / 5.6 ≈ -0.5893
Using a Z-table or calculator, the percentage for LESS than 39 inches is approximately 27.83%. To find the percentage of years with more than 39 inches, subtract from 100%: 100% - 27.83% = 72.17%.

c) For annual rainfall between 38 and 43 inches:
Z1 = (38 - 42.3) / 5.6 ≈ -0.7679
Z2 = (43 - 42.3) / 5.6 ≈ 0.1250
Using a Z-table or calculator, the percentage for Z1 is 22.17%, and for Z2 is 50.48%. To find the percentage between these two Z-scores, subtract the smaller percentage from the larger one: 50.48% - 22.17% = 28.31%.

So, the answers are: a) 62.07%, b) 72.17%, and c) 28.31%.

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Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

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The sample size which is required for the maximum error of 0.03 mg and 90% confidence level is equal to approximately 307.

Confidence level = 90%

Maximum error = 0.03mg

To determine the sample size needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level,

Use the formula for sample size determination,

n = (Z × σ / E)²

Where,

n = required sample size

Z = Z-value for the desired confidence level (corresponding to a 90% confidence level, Z ≈ 1.645)

σ = standard deviation of the population ( 0.32 mg)

E = maximum error or margin of error ( £0.03 mg)

Plugging in the values, we have,

⇒n = (1.645 × 0.32 / 0.03)²

⇒n ≈ (0.5264 / 0.03)²

⇒n ≈ 17.5098²

⇒n ≈ 306.5

Rounding up to the nearest whole number, the required sample size is approximately 307.

Therefore, a sample size of at least 307 cigarettes would be needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level.

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We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:

13x+6

Step-by-step explanation:

Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function, we need to take the common terms out from the expression,

\(f(x)=125x^6-8\)

The given function can be written as,

\(f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3\)

Now, we will use the algebraic property to solve the function.

\(f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)\)

Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

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Answer:

C

Step-by-step explanation:

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

Answer:

-1

Step-by-step explanation:

Answer:

\(y - 3 = - 4(x + 2)\)

Answer:

4

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor.