2s + (-4s) simplify

The value of the side x is 7. 071

It is important to note that there are six different trigonometric identities with their ratios.

They are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the information given, we have that;

The side ,'x' is the hypotenuse side

The side '5' is the opposite side

Using the sine identity, we have;

sin 45 = 5/x

cross multiply the values

x = 7. 071

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Answer:

\(x^7y^2+x^5z^3+y^3z^4+xyz\)

Step-by-step explanation:

It is required that the algebraic expression has exactly 3 different variables

Since it must have a degree of 7, the highest power in the expression will be 7.

Therefore, an example of such an algebraic expression will be:

\(x^7y^2+x^5z^3+y^3z^4+xyz\)

Answer:

29 is the answer for me

Step-by-step explanation:

hope that helps

Answer:

29

Step-by-step explanation:

add all the numbers together(sorry if its wrong its been a while since ive done this)

Answer:

10.770

Step-by-step explanation:

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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the two triangles are not similar.

Answer:

See proof below

Step-by-step explanation:

Find the diagram attached.

From the diagram, sum of angle on the straight  line l is 180degrees that is:

<A' + <B' + <C' = 180° .... 1

Also note that

<A = <A' (corresponding angle) ...2

<B = <B' (corresponding angle) ... 3

<C = <C' (vertically  opposite angle) ...4

Substitute  2, 3 and 4 into 1, we will have:

A+B+C = 180°

This shows that the sum of the interior angles of the triangle A  B and C is 180°

Answer:

Epic

Step-by-step explanation:

stop random spam(thanks for points xD)

If you asking for a random one then heres a rand om one: Y^3–2 or y^4+7

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

\(\frac{3^{12}}{3^{10}}\)

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

Using the rule of exponents,  \(3^8\) x \(3^4\) /  3² x \(3^8\) can be simplified in index form as: 3²

To simplify the expression \(3^8\) x \(3^4\) /  3² x \(3^8\), we can use the exponent rules and simplify step by step:

Combine the terms with the same base, 3, by adding their exponents:

\(3^8\) x \(3^4\) / 3² x \(3^8\) = \(3^{(8 + 4)}\) / \(3^{(2 + 8)}\)

Simplify the exponents within the parentheses:

\(3^{12} / 3^{10\)

Apply the division rule of exponents, subtracting the exponent in the denominator from the exponent in the numerator:

\(3^{(12 - 10)}\)

Simplify the exponent:

3²

Therefore, the simplified expression is 3², which is equal to 9.

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Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

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Answer: 6.57x10^3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helped :)

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Answer:                     8

Step-by-step explanation: because you need to remove the all numbers and then it will leave you 1 which is in the middle

Al-Khwarizmi made significant contributions to the world of mathematics, particularly in the field of algebra. His major accomplishment was the development of algebra as an independent mathematical discipline.

Al-Khwarizmi, a Persian mathematician and scholar, wrote the book titled "Kitab al-Jabr wal-Muqabala," which laid the foundation for modern algebra. In this influential work, he introduced systematic methods for solving linear and quadratic equations. Al-Khwarizmi's algebraic techniques, including the use of variables and equations, greatly advanced mathematical understanding and problem-solving. His work also contributed to the development of algorithms and mathematical notation, such as the concept of the "zero" and the decimal system. Overall, al-Khwarizmi's contributions revolutionized mathematics and had a profound impact on subsequent generations of mathematicians and scientists.

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Answer:

73.5 feet

Step-by-step explanation:

The length of a tree =42 feet

Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.

We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :

\(T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft\)

So, the tree will be 73.5 feet tall when it is fully grown.

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Answer:

Set your calculator to degree mode.

\( \cos(x) = \frac{3.9}{8.5} \)

\(x = {cos}^{ - 1} \frac{39}{85} = 62.7 \: degrees\)

Angle x measures 62.7°.

Answer:

62.7

Step-by-step explanation:

For angle x, 3.9 is the adjacent leg.

8.5 is the hypotenuse.

cos Θ = adj/hyp

cos x = 3.9/8.5

cos x = 0.4588235

x = cos^-1 0.4588235

x = 62.68878

Answer: 62.7

Considering that Parker uses 1 gallon of gas for every 0.026 miles he drives, he can travel 1.149 miles on 44.2 gallons of fuel.

The unitary is a method of troubles that entails calculating the value of a single unit, multiplying that value, and then calculating the required value. To sum it up, the unit method is employed to obtain a single unit quantity from a specified multiple. One writer costs 400 rupees, and 40 pens would cost 400 rupees. Perhaps there is a regular procedure for carrying it out. merely one nation. anything featuring a distinctive component. Algebra of matrices or operators, linear programming, applied mathematics, and its homologue and reciprocal are all equivalent.

given

For 34 miles and 1305, Parker's mileage is directly proportionate to the amount of gallons used.

1 gallon equals 0.026 miles, so 6 gallons are required.

Consequently, 1.149 miles equal 44.2 gallons of gas.

Considering that Parker uses 1 gallon of gas for every 0.026 miles he drives, he can travel 1.149 miles on 44.2 gallons of fuel.

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The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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Answer:

False

Step-by-step explanation:

Scale copies are indicated by proportional changes in the lengths of the sides of a figure. in this image, we can see that the bottom side of the figure is different while the shorter segments on each figure are the same length. Because of this, the answer is False as they can not be scale copies.

Let Q=k\(g^{x} h^{y} c^{z}\)  where x,y,z are the dimensions and k is dimensionless constant. It will give the Planck's length.

This length is the Planck length, and it is 1.6 x 10-35 meters. Writing the dimensions in Q, we will get the following expression :

[M0L1T0]=(M−1L3T−2)x(ML2T−1)y(LT−1)z   = M−x+yL3x+2y+zT−2x−y−z

Applying the principle of homogeneity of dimensions, we get

−x+y=0∴y=x.      iii

3x+2y+z=1         iv

−2x−y−z=0        

Add (iii) & (iv) x+y=1 or x+x ,x=1/2

From Q, y=x=12

From (iv) z=−2x−y=−2(12)−12=−32

Put in (i) Q=kG1/2h1/2c−3/20

Q=kGhc^3

Taking k=1 and putting the standard values : G=6.67×10^−11 SI units.

h=6.63×10^−34-sec

c=3×10^8m/s , we get

Q≅ \(10^{-35}\) m

This length is called Planck's length.

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To score an A, the score on the third test should be 79.

To lose your B grade, you have to score less than 49 on the third test.

The average of a set of numbers is the sum of the numbers divided by the total numbers.

Average = sum of scores / total numbers

90 = (86 + 85 + x) / 3

90 = (191 + x ) / 3

Where x is the score on the third test

In order to determine the value of x, take the following steps:

Multiply both sides of the above equation by 3

90 x 3 = 191 + x

270 = 191 + x

Subtract both sides of the equation by 191

270 - 191 = x

x = 79

The equation that represents the score that would make you lose the B grade is:

80 = (86 + 85 + x) / 3

80 = (191 + x) / 3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3

80 x 3 = (191 + x)

240 = 191 + x

Subtract 191 from both sides of the equation:

x = 240 - 191

x = 49

To lose your B grade, you have to score less than 49 on the third test.

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Answer:

1 bag of chips cost $1.25

Step-by-step explanation:

total money spent minus cost of soda = price of 2 bags of chips

$4.00- $1.50 = $2.50

2 bags of chips divided by 2 = price for one bag

$2.50 / 2 = $1.25

Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)

After solving the expression 3-√(x-3)=x algebraically, we get the result as  3.

Isolate the square root from the left hand side √x-3 = 3-x

Eliminate the radical on the left hand side by squaring on both sides-

Both sides must be raised to the second power.    

(√x-3)² = (3-x)²  

After squaring we get       

x-3 = x²-6x+9

Solving the quadratic equation-

We get rearranged equation as -

x²  - 7x  + 12 = 0

(x-4)(x-3)=0

x=4,3

Check if the first solution is correct by putting it in original equation-

putting x=3 in 3-√(x-3)=x  we get 3-0=3

Hence 3 is correct.

Check if the second solution is correct by putting it in original equation-

putting x=4 in  3-√(x-3)=x  we get 3-1=4 which is not true

hence 4 is rejected.

Therefore, after solving the expression 3-√(x-3)=x algebraically, we get the result as  3.

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The inequality relation for the given problem would be p ≥ 1580.

What is inequality?

An inequality is a statement that compares the value of two expressions using one of the mathematical symbols <, >, ≤, ≥, ≠. It shows the relationship between two values, but unlike an equation, it does not set them equal to each other.

The inequality that shows the possible power per year, p, the waste-to-energy facilities in the country are capable of producing is:

p ≥ 1580

This inequality shows that the power per year, p, is greater than or equal to 1580. This is based on the information provided that the 65 facilities in the country have the capacity to produce 1,580 megawatts of power per year by processing more than 16 million tons of waste per year. The inequality is written in this way because we know the minimum amount of power that the facilities can produce, but not the maximum, so we use "greater than or equal to" to show that the power produced could be equal to 1,580 megawatts or greater.

Hence, The inequality relation for the given problem would be p ≥ 1580.

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In similar triangles GHJ and KLM, the following statements must be true: (A) corresponding sides are proportional, and (D) corresponding angles are equal.

In similar triangles, the corresponding sides are proportional, which means that the lengths of corresponding sides are in the same ratio. This statement is denoted by the symbol "=" (equal). Therefore, statement (A) must be true.

Additionally, in similar triangles, the corresponding angles are equal. This means that the measures of the corresponding angles in both triangles are the same. This statement is denoted by the symbol "∠=" (angle equal). Thus, statement (D) must also be true.

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Answer:

Step-by-step explanation:

-9/6 im not sure so dont get mand if im wrong

Answer:

options C -x^2/3z

Step-by-step explanation:

this is the correct answer after we cancelled them

Answer:

C

Step-by-step explanation:

This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives

(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.

Hope this helps. Ask if you need me to clarify something.