Please help my work is almost due and I have no clue

Answer:

1.143

0.6691

Step-by-step explanation:

8/7=1.143

cos48=0.6691306=0.6691

Answer:

h=5/18

Step-by-step explanation:

Hi there!

If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.

Answer:

\(\boxed{h=\dfrac{5}{18}}\)

Step-by-step explanation:

\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\)

1. Subact  \(\dfrac{1}{2}\)  from both sides:

\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}\)

2. Divide both sides by -1

\(\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}\)

Final answer: \(\boxed{h=\dfrac{5}{18}}\)

Hope this helps!

The angle a and b are supplementary and linear pair angles.

Two Angles are Supplementary when they add up to 180 degrees.

In other words, Supplementary angles are two angles whose measures add up to 180°.

Linear pair of angles are formed when two lines intersect each other at a single point.

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

Therefore, the angle a and b are supplementary and linear pair angles.

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The equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

GIven are two graphs of lines, we need to find the slope‐intercept form of the lines,

We know that, the slope‐intercept form of the line is given by:

y = mx+c, where m is slope and c is the y-intercept,

m = y₂-y₁ / x₂-x₁

1) The line is passing through two points (0.5, 0) and (0, 2) :-

y-0 = 2-0 / 0-0.5 (x-0.5)

y = -4(x-0.5)

y = -4x+2

2) The line is passing through two points (4, 0) and (0, 4) :-

y-0 = 4-0 / 0-4 (x-4)

y = -1(x-4)

y = -x+4

Hence, the equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

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Ms. Ann can use 160 pounds of candy that costs $1.80 per pound for the candy mix.

Let's assume she can use x pounds of candy that costs $1.80 per pound.

The cost of the candy mix is the sum of the costs of the selected candy and the additional candy she wants to use.

The cost of the selected candy = 80 pounds × $2.40 per pound = $192.00

The cost of the additional candy = x pounds × $1.80 per pound = $1.80x

The total cost of the candy mix is the sum of these two costs, and it should equal $2.00 per pound for the total weight of the mix.

$192.00 + $1.80x = $2.00 × (80 + x)

Simplifying the equation:

$192.00 + $1.80x = $160.00 + $2.00x

Now, we can solve for x:

$0.20x = $192.00 - $160.00

$0.20x = $32.00

x = $32.00 / $0.20

x = 160

Therefore, Ms. Ann can use 160 pounds of candy that costs $1.80 per pound for the candy mix.

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After 5 hours, there will be 464 bacteria present.

The growth of bacteria can be represented by the equation B = 58(2)^t, where B represents the number of bacteria and t represents the number of hours. In this case, we need to calculate the number of bacteria after 5 hours.

Substituting t = 5 into the equation, we have:

B = 58(2)^5

B = 58 * 2^5

B = 58 * 32

B = 1,856

Therefore, after 5 hours, there will be 1,856 bacteria present.

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Answer:

-9 degrees celcius

Step-by-step explanation:

(-3) - 6 = -9

To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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The probability that the two smartest people will be in the same group is approximately 0.023 or 2.3%.

The probability of the two smartest people being in the same group can be calculated by considering the total number of possible ways the groups can be formed and the number of ways the two smartest people can be in the same group.

To find the total number of ways the groups can be formed, we can use the concept of combinations. In this case, we have 36 people in the class and we want to split them into 12 groups of 3. We can calculate the total number of ways the groups can be formed using the formula for combinations:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of people and r is the number of people in each group.

In our case, n = 36 and r = 3. Plugging these values into the formula, we get:

C(36, 3) = 36! / (3! * (36-3)!)

Simplifying this expression, we find that there are 7140 different ways to form the groups.

Now, let's calculate the number of ways the two smartest people can be in the same group. Since there are 12 groups and we want the two smartest people to be in the same group, we can treat them as a single unit. So, we need to calculate the number of ways to distribute the remaining 34 people into 11 groups of 3.

Using the same combination formula, we have:

C(34, 3) * C(11, 1) = (34! / (3! * (34-3)!) * (11! / (1! * (11-1)!))

Simplifying this expression, we find that there are 163,800 different ways to distribute the remaining people.

Now, to calculate the probability, we divide the number of ways the two smartest people can be in the same group by the total number of possible ways the groups can be formed:

Probability = (Number of ways the two smartest people in the same group) / (Total number of possible ways to form groups)

Probability = 163,800 / 7,140

Simplifying this expression, we find that the probability is approximately 0.023 or 2.3%.

Therefore, the probability that the two smartest people will be in the same group is approximately 0.023 or 2.3%.

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The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

Slope of a line = change in y/change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\)

Given the following points:

(4, 9) and (0, 5)

Slope of the line would be:

Slope = (5 - 9)/(0 - 4)

Slope = (-4)/(-4)

Slope = 1

Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

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Answer:

\(x\leq -2\)

Step-by-step explanation:

Solve for x:

\(-4x+20\geq 28\)

Subtract 20 on both sides

\(-4x\geq 8\)

Flip the sign and multiply both sides by -4

\(16x\leq -32\)

Divide by 16

\(x\leq -2\)

Answer:

Tank tops

Step-by-step explanation:

The value we can use in the series is \($\sum_{k=0}^\infty 1/k^8\).

To check the convergence we consider two series as

Series 1: \($\sum_{k=0}^\infty \frac{k^8}{5(3-6k+3k^6)^2}$\)

Series 2: \($\sum_{k=0}^\infty \frac{k^8 + k^3 + 4k}{5(3-6k+3k^6)^2}$\)

We employ the p-test, which indicates that the series converges if the ratio of succeeding entries in a series approaches a number less than 1. The ratio of successive terms for Series 1 approaches 1, indicating that Series 1 diverges.

We can infer that Series 2 also diverges because Series 1, which is smaller than Series 2, likewise diverges.

Thus, the given series also diverges.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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Answer:

1.6 hours so 96 minutes

Step-by-step explanation:

The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

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The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

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The distance between you and train 1 at time t is

20.6 km + (0.2 km/h) t

and the distance between you and train 2 at time t is

59.7 km - (2.1 km/h) t

The trains are an equal distance away from you when

20.6 km + (0.2 km/h) t = 59.7 km - (2.1 km/h) t

Solve for t :

(2.3 km/h) t = 39.1 km

t = 17 h

at which point they are

20.6 km + (0.2 km/h) (17 h) = 24 km

away from you.

Answer: $840

Step-by-step explanation:

The formula for calculating simple interest is:

I = P * r * t

where:

I is the interest earned

P is the principal (the initial deposit)

r is the interest rate (as a decimal)

t is the time (in years)

Using this formula, we can find the interest earned on Ms. Leon's account over 4 years:

I = 750 * 0.03 * 4

I = 90

So Ms. Leon will earn $90 in interest over 4 years. To find the total amount in her account at the end of 4 years, we need to add the interest earned to the initial deposit:

Total amount = Initial deposit + Interest earned

Total amount = 750 + 90

Total amount = $840

Therefore, Ms. Leon will have a total of $840 in her savings account at the end of 4 years.

Answer:

Step-by-step explanation: A=p(1±r%)>t

A=3,080(1+3.64%)>12

=4730. 200

On solving the provided question, we can say that here in this rhombus,

angle 1 is 106 and  angle 2 and 3 are 37 each

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

here in this rhombus,

angle 1 is 106

other two side are 360-106-106 = 148

148/2 = 74

so angle 2 and 3 are 37 each

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The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

The lines are perpendicular. When you graph these line they intersect one another which is perpendicular.

Step-by-step explanation:

When you rearrange the equation x-3y=15 you get y=1/3x-5

The wooden made triangle is that it is a Isosceles Right Angled Triangle

Triangle: A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

it is given that a piece of wood is cut into a triangle with sides that measure 17 cm , 17cm and 24cm the angles of the triangle measure 45 degrees, 45 degrees, and 90 degrees.

sides of the triangles=17 cm , 17cm and 24cm

two sides are equal so we can say it is an isosceles triangle

because isosceles triangle has two equal measured sides

if we get into the angles of that triangle they are 45 degrees, 45 degrees, and 90 degrees.

triangle with 90 degrees angle is called as right angled triangle

so we can finally conclude about the wooden made triangle is that it is a Isosceles Right Angled Triangle

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The triangle is made of wood and is an isosceles right triangle.

What does Triangle mean?

A triangle is a polygon that has three vertices and three edges. It is one of the fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that a piece of wood is carved into a triangle with sides that measure 17, 17, and 24, and angles that measure 45, 45, and 90 degrees, the triangle's dimensions are as follows.

triangles have sides of 17, 17, and 24 cm.

It is an isosceles triangle since its two sides are equal.

since an isosceles triangle has two sides with equal lengths

When it comes to that triangle's angles, they are 45, 45, and 90 degrees.

Right-angled triangles are triangles with an angle of 90 degrees.

Finally, we may say that the triangle is an isosceles right triangle because it is composed of wood.

Answer:

17

Step-by-step explanation:

multiply both sides of the equation by 8

k + 31 = 48

move the constant to the right-hand side and change its sign

k = 48 - 31

subtract the numbers

k = 17

Step 1: Calculate the length of the diagonal. To calculate the length of the diagonal, use the Pythagorean Theorem: a2 + b2 = c2, where a is the length of one side and b is the length of the other side. In this case, a is 25 cm and b is 32 cm, so we have 252 + 322 = c2, which gives us c2 = 900 + 1024 = 1924. Taking the square root of this gives us c = 43.8 cm.

Step 2: Calculate the distance between the shorter sides. To calculate the distance between the shorter sides, subtract the length of the diagonal (43.8 cm) from the length of the longer side (32 cm), which gives us a total of 8.2 cm.

Therefore, the distance between the shorter sides is 8.2 cm.

Algebraic word problems involve converting sentences into equations and then resolving those equations. and only one variable. The variable typically represents an unknowable quantity in a real-world situation.

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Answer:

i believe a

Step-by-step explanation:

not too sure

Answer:

x = -8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x−2)=8(2x+3)

(4)(3x)+(4)(−2)=(8)(2x)+(8)(3)(Distribute)

12x+−8=16x+24

12x−8=16x+24

Step 2: Subtract 16x from both sides.

12x−8−16x=16x+24−16x

−4x−8=24

Step 3: Add 8 to both sides.

−4x−8+8=24+8

−4x=32

Step 4: Divide both sides by -4.

−4x

−4

=

32

−4

x=−8

Answer:

x=−8