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Answer:

x<-4

Step-by-step explanation:

I hope this helps a little bit

Answer c

Step-by-step explanation:

Answer:

D. 75%

Step-by-step explanation:

Divide 69 by 92 and you will get 0.75, move the decimal to the right two times. and there is your answer.

After 11 years, approximately 21 grams of Element X would remain.

Radioactivity is the process by which unstable atomic nuclei emit particles or energy in the form of electromagnetic radiation. This emission can be harmful to living organisms and can cause damage to cells and DNA. Radioactivity occurs naturally in the environment, but can also be artificially produced through nuclear reactions.

Isotopes are atoms of the same element that have the same number of protons but different numbers of neutrons in their nuclei. Isotopes can be either stable or unstable, with unstable isotopes undergoing radioactive decay over time. Isotopes are important in many fields, including nuclear energy, medicine, and environmental science.

We can use the formula N = N0 * (1/2)^(t/T), where N is the remaining mass after time t, N0 is the initial mass, T is the half-life, and t is the time elapsed.

In this case, T = 28 years and t = 11 years,

N = 50  (1/2)\(^{11/8}\)

N ≈ 21

Therefore, after 11 years, approximately 21 grams of Element X would remain.

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Answer:

The answer is True.

Step-by-step explanation:

-3x - 10 > -31

-3(5) - 10 > -31

-15 - 10 > -31

-25 > -31

True.

Step-by-step explanation:

For g(x) = f(x) + 5:

Because f(x) = x, this can be simplified to:

y = x + 5

For h(x) = 2 * f(x) - 3, simplified to:

2*x - 3 or 2x - 3

For j(x) = \(\frac{1}{2} * f(x) - 1\), simplified it is

\(\frac{1}{2}x - 1\)

For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.

For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.

For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.

Hope this helps!

Answer:

This is only for the first part. Please see the attached image for the graphs of the three given functions.

Step-by-step explanation:

1. g(x) = f(x) + 5

This involves the vertical shift of 5 units.  

Start by solving for the y-intercept. The y-intercept is the value of y (or g(x) when x (or f(x) )  = 0:

Substitute f(x) with 0:

g(x) = f(x) + 5

g(x) = 0 + 5

g(x) = 5

The y-intercept is (0, 5)

According to one of the hints provided in your instruction, it states that you can use the slope to find another point.  

In your given function, g(x) = f(x) + 5, the slope is 1 (it is implied, meaning, if your function is rewritten in its slope-intercept form, it is y = x + 5, in which your slope is implied as 1/1 or 1). So, to find another point, from the y-intercept (0, 5), you can go 1 unit up, and 1 unit to the right, which gives you the next point: (1, 6). Likewise, to go to the opposite direction, you can go down 1 unit, and 1 unit to the left.  

2.  h(x) = 2 * f(x) - 3

The slope of this function is 2, and the y-intercept is -3.  If you rewrite h(x) = 2 * f(x) - 3 into its slope-intercept form, it will be: y = 2x - 3. That is why the slope (m) = 2, and the y-intercept (b) = -3.  

To start, we can find the y-intercept, which is, again, the value of y (or h(x)) when f(x) = 0:

h(x) = 2 * 0 - 3

h(x) = 0 - 3

h(x) = -3

Therefore, the y-intercept is (0, -3). This can be your starting point to draw a line.  

From this point, you can use the slope (2/1) to find more points by going up 2 units, and 1 unit to the right. You'll end up with the next point, (1, -1).  Likewise, to go on the opposite direction, you can go 2 units down, and 1 unit to the left.  

3. j(x) = ½* f(x) - 1

The slope of this function is 1/2, and the y-intercept is -1. If you rewrite j(x) = ½* f(x) - 1 into its slope-intercept form, it will be: y = 1/2x - 1. That is why the slope (m) = ½, and the y-intercept (b) = -1.  

Same as the previous steps, you can start with the y-intercept by setting f(x) = 0:

j(x) = ½* f(x) - 1

j(x) = ½* 0 - 1

j(x) = 0 - 1

j(x) = - 1

Therefore, the y-intercept is (0, -1). Same as the previous functions, you can use the slope (m = ½) and start going 1 unit up, and 2 units to the right to get to the next point, (2, 0).  Keep going until you have enough points to connect and draw a line with.

Please see the attached image for the graph.  

Answer:

The pipe thread size is measured and based on the inside of the pipe. But, to actually determine the size of a pipe, the outside diameter of each pipe or fitting must be measured and compared to the table for size identification.

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

i had the question on ed

Answer:

y greater - than - or - equal - to StartFraction 2 over 15 EndFraction

Step-by-step explanation:

Answer:

Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96. Number 4)

Step-by-step explanation:

In order to find the equivalent expression, lets first factor the common term, which is "2":

2*(x² - 6*x + y² + 10 *y - 14) = 0

If we look closely to the terms that have "x" and "y", they both have a square structure, therefore we can complete the squares by manipulating the indepent term. Let's first check the term with "x" and "y":

x² - 6*x + c² = x² - 2*3*x + c² = (x - c)²

y² + 10*y + d² = y² + 2*5*y + d²= (y + d)²

In order to complete the squares, c must be equal to 3 and d must be equal to 5. We can arrange that, by summing and subtracting these numbers squared, we have:

2*(x² - 6*x + 3² + y² + 10 *y +5² - 14 - 3² - 5²) = 0

2*(x² - 6*x + 3²) + 2*(y² + 10*y + 5²) -28 - 18 - 50 = 0

2*(x - 3)² + 2*(y + 5)² = 96

Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96

Answer:

2*(x - 3)² + 2*(y + 5)² = 96.

Step-by-step explanation:

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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The answer is -2

-8+6=-2

Answer:

-2

Step-by-step explanation:

I took the test

Answer:

root(7/2) and root (-7/2) are the roots then (x-root(7/2))(x-root(-7/2))= some quadratic polynomial then divide f(x) by this quadratic polynomial to get the other two roots

Step-by-step explanation:THE QUESTION IS HARD

To verify:

cos⁴x+sin⁴x=1-2sin²xcos²x​

we have,

LHS= sin⁴x+cos⁴x

=(sin²x)²+(cos²x)² +2sin²x cos²x - 2sin² cos²x

(by adding and subtracting 2sin²x cos²x)

=(sin²x +cos²x )² - 2 sin²x cos²x

=1-2sin²x cos²x =RHS

Therefore LHS=RHS

The study of angles and the angular relationships of planar and three-dimensional figures is known as trigonometry. It is the branch of mathematics concerned with specific functions of angles and their application to calculations.

Trigonometry as the name suggests is all about triangles. More specifically, it is about right-angled triangles.

The trigonometry functions (also called the circular functions) comprising trigonometry are the cosecant, cosine(cos), secant, sine(sin), and tangent(tan).

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Answer:

  8.9

Step-by-step explanation:

We know that 81 = 9², so √80 will be slightly less than 9. We can get a pretty good estimate by averaging 9 with 80/9. That result is 8.94, so about 8.9.

The attached graph shows that point on a number line.

Linear equations are easy to solve .They are a type of mathematical equation that involve one or more variables, in which all terms are of the first degree.

The general form of a linear equation is Ax + B = C, where A, B and C are numerical coefficients and x is a variable. Linear equations can be solved by first rewriting the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Then, the y-intercept can be determined by substituting in a value for x and solving for y. To find the slope, two points on the line must be chosen, and the formula            m = (y2 - y1)/(x2 - x1) is used to calculate the slope. Once the slope and y-intercept are known, the equation can be written in its slope-intercept form and solved for x.

Linear equations can also be solved using the substitution method, where one of the variables is substituted with a numerical value. This method can be used when the equation is already written in its standard form, Ax + B = C. By solving for x, the value of x can be found and substituted back into the equation to find the value of C.

Finally, linear equations can also be solved using the elimination method, which is used when there are two linear equations with two unknowns. The two equations are added together, and the coefficients of one of the variables are eliminated. This method is useful for solving systems of linear equations.

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Answer:

the answer is 18

Step-by-step explanation:

volume of triangular prism =l×w×h

9×2×1=18

Answer:

points

Step-by-step explanation:

dunno gl

Answer:

3.26, 3.42, 3.55, 4.48

Step-by-step explanation:

that is the smallest number to the largest

Answer: 4-4z

Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.

Given that an integer n is of the form 8¹ + 1, n ≥ 1 is to be proved that it is composite. A composite number is a positive integer which is not prime, i.e., it is divisible by at least one positive integer other than 1 and itself.

For proving that the given integer is composite, it is to be expressed as a product of two factors, other than 1 and itself.

A number in the form of a difference of two squares can be expressed as(a + b) (a − b), where a > b. The given integer n = 8¹ + 1 can be expressed as

\(n = (2³)¹ + 1

= (2 + 1) (2² − 2 + 1)

= 3 (3)\)

= 9

Thus, it can be observed that n is divisible by 3.

Therefore, n is composite. Also, the smallest composite integer of the form 8¹ + 1 is obtained by substituting.

n = 9.

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Answer:

9^y

Step-by-step explanation:

the way u write nine to the yth power, if y is something meet me in the comments!!

hope this helps, brailiest plzz!

Answer:

\(9^{y}\)

Step-by-step explanation:

It literally means 9 to the power of whatever value y represents,...

Chow,...!

Compared to a 95% confidence interval, a 99% confidence interval will be wider.

A confidence interval is a range of values that is likely to contain the true population mean, with a certain level of confidence.

The level of confidence is usually represented as a percentage, such as 95% or 99%. The higher the level of confidence, the wider the confidence interval will be. This is because a higher level of confidence means that the researcher wants to be more certain that the true population mean falls within the interval, so they will make the interval wider to increase the chances of this happening.

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The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                  = 6x

According to the question,

                                           4x + 32 = 6x

                                       ⇒ 6x - 4x = 32

                                       ⇒  2x = 32

                                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3y−6)=−3(8−4y)

(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)

12y+−24=−24+12y

12y−24=12y−24

Step 2: Subtract 12y from both sides.

12y−24−12y=12y−24−12y

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

Answer:

All real numbers

Step-by-step explanation:

So we have the equation:

\(4(3y-6)=-3(8-4y)\)

First, distribute the left side:

\(12y-24=-3(8-4y)\)

Now, distribute the right:

\(12y-24=-24+12y\)

Subtract 12y from both sides. Both sides cancel:

\(-24=-24\)

This statement is true.

In other words, our solution is all real numbers.

And we're done!

Answer: See attached

Step-by-step explanation:

   [] Since the inequality uses greater than (>) and not greater than or equal to (≥), the line will be dashed.

   [] The inequality is greater than (>) so we will shade above the line as values "above" are greater.

Answer:

here is what i got

Step-by-step explanation:

Answer:

Yes they are congruent

Option B is correct

Step-by-step explanation:

Opisite sides of parallelogram are congurent so,

BA is congruent to CD (side)

And

BE I congruent to ED (Side)

AE is congruent to EC (Side)

So according to side-side-side congurence theorem triangle ABE is congruent to triangle CDE

Hope you understand :)

Thus, the cost of the triangular lot land is approximately $81,940 found using Heron's formula.

To determine the cost of the triangular lot, you first need to calculate its area and then convert it to acres.

Given the three sides of the triangle (470 yards, 860 yards, and 1130 yards), you can use Heron's formula to find the area.

Heron's formula for the area of a triangle with sides a, b, and c is:
Area = √(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter, calculated as:
s = (a + b + c) / 2

In this case, a = 470 yards, b = 860 yards, and c = 1130 yards.

Therefore, the semi-perimeter, s, is:

s = (470 + 860 + 1130) / 2 = 1230 yards

Now, plug the values into Heron's formula to calculate the area:

Area = √(1230 * (1230 - 470) * (1230 - 860) * (1230 - 1130))
Area ≈ 198,342.77 square yards

To convert square yards to acres, use the conversion factor:

1 acre = 4,840 square yards
So, the area in acres is:

198,342.77 square yards * (1 acre / 4,840 square yards) ≈ 40.97 acres

Finally, multiply the area in acres by the price per acre to find the cost:
Cost = 40.97 acres * $2000 per acre ≈ $81,940

The cost of the land is approximately $81,940.

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Answer:

The better bargain is the case of twelve 12 ounce cans.

Step-by-step explanation:

The difference in cost between 1 ounce of soda in a bottle and 1 ounce of soda in a can is $0.02

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here; One Soda can price=$8.64 and price of Soda bottle =$8.64

Now Each case of soda can ha 24 cans of 12 ounces each

Thus total ounces in one case of soda cans is = 12×24

                                                                             =288 ounces

Therefore unit rate for the soda cans is = $8.64/288

                                                                  =$0.03/ounce

Again, The unit rate for the soda bottles is = $1.60/32

                                                                       =$0.05/ounce

∴ The difference in cost is = 0.05-0.03

                                            =$0.02

Hence, The difference in cost between 1 ounce of soda in a bottle and 1 ounce of soda in a can is $0.02

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Answer:

In the pictures linked.

Step-by-step explanation:

The pictures I linked have the answers. Brainly wouldn't let me submit it because I apparently used bad words.

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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