What is the value of x ? Plssss helppppp

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The next three terms in the given geometric sequence are 24, 48, and 96

To find the next terms in the geometric sequence 3, 6, 12, we need to find the common ratio (r) first.

r = 6/3 = 2

Now we can use the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where n+1 is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Using this formula, we can find:

a4 = 24 (3 * 2^3)
a5 = 48 (3 * 2^4)
a6 = 96 (3 * 2^5)

Therefore, the next three terms in the sequence are 24, 48, and 96.

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\(x\\\)Answer:

\(x=-2\)

Step-by-step explanation:

\(x+4=2\)

we want to solve for \(x\) so we will let \(x\) alone and we will move \(4\) to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):

\(x=2-4\)

solve :

\(x=2-4 \\x=-2\)\(x=2-4\)

\(x=-2\)

now \(x\) is equal to \(-2\)

Answer:

x = -2

Step-by-step explanation:

x + 4 = 2

x + 4 - 4 = 2 - 4

x = - 2

The volume of the rectangular prism is 7.5w x 4.2 ft, with a length of 7.5 ft, a width of w ft and a height of 4.2 ft.

The volume of a rectangular prism is equal to the product of its length, width, and height. In this case, the length of the prism is 7.5 feet, the width is w feet, and the height is 4.2 feet. Thus, the volume of the rectangular prism is 7.5w x 4.2 ft.  This means that when the dimensions of a rectangular prism are known, the volume can be found by multiplying the length, width, and height. In this case, the width is not known so the expression for the volume is 7.5w x 4.2 ft. This means that when the width is known, the volume can be found by multiplying 7.5 by the width and then multiplying that result by 4.2.

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Answer:

1 9/10 ft

Step-by-step explanation:

4 3/10 ft - 2 2/5 ft = 4.3 ft - 2.4 ft = 1.9 ft = 1 9/10 ft

The amount of string that Jason has left is 1 9/10 feet of the string

From the question, we have the following parameters that can be used in our computation:

Jason initially had 4 3/10 feet of string

He Has done 2 2/5 feet

Using the above as a guide, we have the following:

The number of feet of string left can be calculated as follows

4 3/10 - 2 2/5

Convert to improper fractions

= 43/10 - 12/5

Take the LCM and evaluate

(43 - 24)/10

So, we have

= 19/10

Convert to mixed fractions

= 1 9/10

Hence Jason has 1 9/10 feet of string left

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We get that the radius is 3 ft and the length is 29 ft so the volume is

the approximate value is:

Answer:

D. distance

Step-by-step explanation:

really ? given the choices you needed help with that ?

only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.

Answer:

hope u understand

Step-by-step explanation:

Unit rates can conveniently be multiplied by any desired number in order to answer questions about differently scaled questions. E.g. If three marbles cost 30 cents, how much will eleven marbles cost?

A unit rate is a ratio such as 30 cents : 3 marbles = 10 cents per (1) marble, after doing the division.

Answer:

ratios, rates, and unit rates can be used to solve how much of something there is compared to another thing.  Ex: There are 3 times the amount of apples compared to oranges.  How many apples are there if you have 2 oranges?  For a ratio, you would make it 3:1.  Then substitute the 1 for 2.  For a rate, you would make it 3 apples per oranges.  Then do the same thing you would do for the ratio.  Unit rates work the same way.

Step-by-step explanation:

sorry if this isn't the answer you were hoping for, but I tried

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

LM > MK > KL

Step-by-step explanation:

Given: ΔKLM , m∠K = 101° , m∠L = 67°

By definition of a triangle's sum of interior angles, the ∑ΔKLM's interior angles is 180°, ∴ m∠M = 180 - (101 + 67) = 12°

By the usage of law of sines, the opposite side's measurement is contingent with the angle measurement. The smaller the angle measurement, the shorter the opposite side.

Note the angles:

m∠M = 12° ∴ Side LK = shortest

m∠K = 101° ∴ Side ML = longest

m∠L = 67° ∴ Side KM = in between

∴ LK < KM < ML

A) LM > MK > KL is your answer.

~

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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According to all Reports of U.S media and other,

approx. 97 years after in 1972 ban did it take for ddt levels to move from a rapid to slower rate of decline.

DDT (dichloro-diphenyl-trichloroethane) has been one of the most commonly used pesticide chemicals in the United States for many years and was first synthesized in 1874. However, its efficacy as an insecticide was not discovered until 1939. Shortly thereafter, especially during World War I, the United States began producing large amounts of DDT abroad to combat vector-borne diseases such as typhoid fever and malaria. It declined sharply, falling from a peak of about $80m that year to just under $12m in the early 1970s. Over 80% of the amount of pesticides used between 1970 and 1972 was on cotton, with the rest mainly on peanuts and soybeans. The decline in DDT use is due to

(1) increased resistance to insects

(2) development of more effective alternative pesticides

(3) Growing public concern about adverse environmental impacts.

(4) Strengthening government restrictions on the use of DDT.

Residues of the pesticide DDT in the food supply, human tissues, and the environment have declined in recent years, especially since the EPA banned the chemical from major uses in 1972.

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The area of one name tag can be found by multiplying its width and height. The result will be the area in square inches.

1. The formula for the area of a rectangle is A = bh, where A represents the area, b represents the width, and h represents the height.

2. In this case, the width of the name tag is given as 334 inches, and the height is given as 213 inches.

3. To find the area, we substitute the given values into the formula: A = 334 inches * 213 inches.

4. Multiplying these values together, we get: A = 71,142 square inches.

5. The final answer, representing the area of one name tag, is 71,142 square inches.

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If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The right answer is: Z requires that you know the population standard deviation, which can be erroneous.

The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But the second is obviously more dispersed. It expresses the deviation of each observed value from the mean.

given

Both distributions must meet a number of requirements in order to be used. The prerequisites that must be met in order to execute a hypothesis test for employing a z-distribution are: The population has a normal distribution. We are aware of the population standard deviation.

The scope of the sample is broad.

The prerequisites that must be met in order to conduct a hypothesis test for employing a t-distribution are:

The population has a normal distribution. The chosen sample was chosen at random.

Use the t-distribution to conduct the test for the population mean in cases where the population standard deviation is unknown and the sample standard deviation must be computed.

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Answer:

Angle AOD and Angle DOB are supplementary

Step-by-step explanation:

AOB is straight(180°) Line DO is a line that creates two angles

Answer:

Step-by-step explanation:

<AOD + <DOB = 180 degrees, but that's a stretch. AB must be a straight segment. Point O must be on AB.

A straight segment is a 180 angle.

Answer:

I think X is 3. Sorry if it's wrong!

Step-by-step explanation:

5 x 3 = 15 x 10 = 150

The 99% confidence interval for the true mean of damaged items per truckload is approximately (10.5611, 12.0389).

To work out the close to 100% certainty span for the genuine mean of harmed things per load, we can utilize the t-circulation since the example size is little (n = 12) and the populace standard deviation is obscure.

Let's begin by determining the standard error of the mean (SEM):

SEM = sample standard deviation / sqrt(sample size) SEM = sample variance / sqrt(sample size) SEM = sqrt(0.81) / sqrt(12) SEM  0.2381 The critical t-value for a 99% confidence interval with (n - 1) degrees of freedom must now be determined. Since the example size is 12, the levels of opportunity will be 12 - 1 = 11.

The critical t-value for a 99% confidence interval with 11 degrees of freedom can be approximated using a t-distribution table or statistical calculator.

Now we can figure out the error margin (ME):

ME = basic t-esteem * SEM

ME = 3.106 * 0.2381

ME ≈ 0.7389

At long last, we can build the certainty stretch:

The confidence interval for the true mean of damaged items per truckload at 99 percent is therefore approximately (10.5611, 12.0389): confidence interval = sample mean  margin of error

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Answer:

A

Step-by-step explanation:

5/18 = 0.2777 = 0.27° so when you divided thd no. it is 0.277777 and 7 is repeat .

The required solution of the system of equations are x=-6 and y=-10.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The system of equations are

-2x+2y=-8 and -3x+y=8

According to given question we have

Consider the first equation.

-2x+2y=-8

Taking  minus sign common  from both sides we get

-(2x-2y)=-8

2x-2y=8

Taking  2 common  from left sides,  we get

2(x-y)=8

Divide by 2 on both sides we get,

x-y= 4....(i)

-3x+y=8...(ii)

By adding 2 equation we get

-2x=12

x=-6

Put the value of x in Equation (i) we get

x-y= 4

-6-y=4

-y=4+6

y=-10

Therefore, the required solution of the system of equations are x=-6 and y=-10.

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Answer:

Step-by-step explanation:

Given the height of the object covered by the ball modeled by the function;

h(x) = -16x^2 + 48x + 64

To determine the height covered by the ball after 1.2 secs, we will simply substitute x = 1.2s into the formula and find h(x) as shown;

h(1.2) = -16(1.2)^2 + 48(1.2) + 64

h(1.2) = -16(1.44) + 48(1.2) + 64

h(1.2) = -23.04 + 57.6 + 64

h(1.2) = 98.56m

This means that the ball have covered 98.56m in 1.2sseconds

Answer:

The Answer is D. 25ft

Step-by-step explanation:

Taking the quiz rn hope this helps:)

Answer: 11.375°

Step-by-step explanation:

55 + (4x + 17) + (4x + 17) = 180°    Set up equation

4x + 4x + 55 + 17 + 17 = 180°    Commutative Property of Addition

8x + 89 = 180°    Combine like terms

8x = 91°    Subtract 89 from both sides

x = 11.375°   Divide both sides by 8

Not entirely sure about this one; you might have to round the answer.

An equation of the plane through the point (-1, -5, 1) and perpendicular to the vector (5, 4, 2) can be -4x + 5y - 2z = 11.

First, the normal vector of the plane must be determined. The vector perpendicular to the given vector (5, 4, 2) is (-4, 5, -2).

Now, the equation of the plane can be determined using the given point and the normal vector. The standard form of the equation of a plane is Ax + By + Cz = D.

We can use the point (-1, -5, 1) and the normal vector (-4, 5, -2) to calculate the values of A, B, C, and D in the equation. To do this, we can use the point-normal form of the equation of a plane.

The point-normal form is (x - x1) × nx + (y - y1) × ny + (z - z1) × nz = 0. We can plug in the point and normal vector values into this equation to calculate A, B, C, and D.

Therefore, the equation of the plane is -4x + 5y - 2z = 11.

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The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1).To solve this problem, we need to use the permutation formula since the order of books on shelves matters.

We can start by finding the total number of ways to arrange n books on m shelves, where n is the number of books and m is the number of shelves.

If we have n books and m shelves, the number of ways to arrange the books on the shelves without any restrictions is m^n. However, since we have the additional restriction that each shelf must contain at least one book, we need to subtract the number of arrangements where one or more shelves are left empty.

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1), since we can choose the empty shelf in m ways, and then arrange the remaining n-1 books on the (m-1) non-empty shelves in (m-1)^(n-1) ways. However, we need to be careful not to double-count the arrangements where two shelves are left empty, so we add back in the number of arrangements where two shelves are empty, which is m choose 2 * (m-2)^(n-1). We continue this process until we've accounted for all the possible combinations of empty shelves.

Therefore, the total number of arrangements with at least one book on each shelf is:

m^n - m*(m-1)^(n-1) + m choose 2 * (m-2)^(n-1) - m choose 3 * (m-3)^(n-1) + ...

This expression can be simplified using the principle of inclusion-exclusion, but it still depends on the values of n and m.

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Answer:

The answer is 195mile

Step by step explanation:

We've

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile

Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

The  shaded triangle a right triangle is a r.ight angle triangle because for a triangle to be a right angled triangle, it must obey the Pythagoras theorem

A right angle triangle is an orthogonal triangle in which one angle is a 90-degree angle

To find out if the triangle is right angle triangle,

a²+b² = c²

This implies that 9² +12² = 15²

81 + 144 = 225

225 = 225

9² +12² = 15²

Therefore the triangle is a right angled triangle

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Answer:

30 degrees.

Angles must add up to 180 so,

180 - 150 = 30.

Step-by-step explanation:

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