What is the decimal expansion of 8
15

The equation \(24 + n = 39\) may be used to get n, the quantity of scarves Rebecca purchases.

The concept of an equation in algebra is a logical statement that demonstrates the equality of two mathematical equations. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A formula that describes how contain a copy on either sides of a symbol are connected. It typically has an equal sign and one variable. The variable x is included in the preceding example.

The cost of one scarf is $\(5\)

The cost of one purse is $\(12\)

Rebecca buys 2 purses, so the cost of the purses is \(2*12=24\)

The total cost of the purchase is $\(39\)

\(Total cost = Cost of scarves + Cost of purses\)

\(39 = 5n + 24\)

Now we can solve n,

\(39 - 24 = 5n\)

\(15 = 5n\)

\(n = \frac{15}{5}\)

\(n=3\)

Therefore, Rebecca buys \(3\) scarves.

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the helix r(t) = cos(πt/2), sin (πt/2),t) intersects the sphere x^2 + y^2 + z^2 = 2 in two points.

the angle of intersection at each point: θ = cos⁻¹ (√2/√π²+4)

the angle of intersection at each point: α = cos⁻¹(-√2 /(√π² +4))

Scientists in the fields of physics, engineering, and biology all do research on helices, which are a significant topic in the theory of curves in differential geometry. Helix (or generic helix) is defined as tangent vector field in 3-dimensional Euclidean space establishing a fixed angle with the curve's direction. A curve for which the tangent forms a constant angle with a fixed line is referred to as a helix or coil.

helix: r(t) = < cos(πt/2), sin(πt/2), t >    sphere: x² + y² + z² = 2

put it in the sphere's equation we get:

next, {cos(πt/2)}² + {sin(πt/2)}² + t² = 2

or, 1 + t² = 2

or, t² = 1

or, t = ± 1

thus, points of intersection r(1) = < cos(π/2), sin(π/2), 1 > = < 0, 1, 1 >

r(-1) = < cos(-π/2), sin(-π/2), -1 > = < 0, -1, -1 >

angle intersection is angle between their tangent:

helix:

r(t) = < -π/2 sin(πt/2), π/2 cos(πt/2), 1 >

r'(1) = < -π/2, 0, 1 > .........(i)

r'(-1) = < π/2, 0, 1 > ......... (ii)

sphere:

f = (x² + y² + z² - 2) = 0

Δf = <2x, 2y, 2z>

Δf (0,1,1) = <0,2,2> ................ (iii)

Δf (0,-1,-1) = <0,-2,-2> .............(iv)

angle between (i) and (iii) (at, t = 1)

cosθ = {r'(1) Δf (0,1,1)} / {|r'(1)| |Δf (0,1,1)|]

θ = cos⁻¹ (√2/√π²+4)

angle between (ii) and (iv) (at, t = 1)

cosα = r'(-1)Δf (0,-1,-1) / ||r'(-1)|| ||Δf (0,-1,-1) ||

cos α = -√2 /(√π² +4)

α = cos⁻¹(-√2 /(√π² +4))

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Answer:

1. Never true

2. Never true

3. Bad question!  Typo? (see discussion below)

4. Always true

5. Always false

Step-by-step explanation:

1. x - 13 = x + 1.  Subtract  x  from both sides of the equation, and you get -13 = 1.  False!  (Never true!)

2.  x + 1/2 = x - 1/2.  Subtract x from both sides:  1/2 = - 1/2.  False! (Never true!)

3. This one's weird, with two equal signs.  That's not unusual; multiple equal signs are often used when a chain of equalities is being displayed.  For instance, you can write  (3)(2x + 5) = (3)(2x) + (3)(5) = 6x + 15.  That's an example of the Distributive Property--the 3 is multiplied by both of the terms inside parentheses (shown after the first equal sign), then actually doing those multiplications produces the expression after the second equal sign.

OK!  This question says 2(x + 3) = 5x = 6 - 3x.  Take it in two parts.

a. 2(x + 3) = 5x   Distribute the 2.

2x + 6 = 5x   Now subtract 2x from both sides.

6 = 3x   Divide both sides by 3.

2 = x  So that first part is true only when x = 2.  Gaa!  That's not one of your answer choices.  Now, check out the second part

b.  5x = 6 - 3x  Add 3x to both sides.

8x = 6   Divide by 8

x = 6/8 = 3/4

It doesn't help to use the first and third expressions, either.

2(x + 3) = 6 - 3x   Distribute the 2

2x + 6 = 6 - 3x  Add 3x.

5x + 6 = 6   Subtract 6.

5x = 0   Divide by 5

x = 0

None of these is always false.  None of these is always true.

4.  x - 3 = 2x - 3 - x   Simplify the right side by combining the x terms.

x - 3 = x - 3  Aha!  Same expression on both sides!  Always true

5.  3(x - 5) = 2(x - 5) + x  Distribute the 3. Distribute the 2.

3x - 15 = 2x - 10 + x  Combine the x terms on the right.

3x - 15 = 3x - 10  Subtract 3x

-15 = -10  (Always false!)

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

To find the matrix product, we first need to clarify the given matrices. Based on your input, I believe the matrices you provided are:

Matrix A:
[6 -6]
[3  2]
[7  0]

Matrix B:
[-1  1]
[ 5 -1]
[ 3  0]

Now, let's find the matrix product A * B, if possible.

Step 1: Check the dimensions of both matrices.
Matrix A has a dimension of 3x2, and Matrix B has a dimension of 3x2.

Step 2: Determine if the matrix product is possible.
The matrix product is possible if the number of columns in Matrix A is equal to the number of rows in Matrix B. In this case, Matrix A has 2 columns, and Matrix B has 3 rows. Since these numbers are not equal, it is not possible to find the matrix product A * B.

Your answer: The matrix product A * B is not possible in this case.

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Therefore , the solution of the given problem of graphs comes out to be  graph of y  = 2ˣ .

Graphs are used by theoretical physicists to visually or analytically vertices chart assertions rather than values. Typically, a graph point shows the relationship between several different objects. A graph is a particular kind of  train assembly consisting of groups and lines. The networks, also known as the borders, should be joined with glue. The edges of this network had the digits 1, 2, 3, and 4, along with the numerals (2.5), (3.5),

Here,

y =  logₐ(x); logarithmic function (x)

The matching points that must appear on the graph x = bx can be found using the procedure below.

Step 1: In the equation  

=> x = bˣ

=> 2= b¹

=> b =2

replace (2,1) with the value of x and y.

Step 2: Now change the number of b in the equation to make

=> y = 2ˣ

Step 3: The above equation becomes y=2 at (x = 1).

Step 4 - The equation (2) becomes: at (x = 2)

Step 5 - The equation (2) becomes: y = 16 at (x = 4)

The graph of y  = 2ˣ

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It is valid to suggest that fewer than half of Americans prefer to watch the news rather than read or listen to it.

Testing for the claim that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it, we can use a one-tailed, lower-bound z-test for proportions. The null hypothesis is that the proportion of Americans who prefer to watch the news is greater than or equal to 0.5, and the alternative hypothesis is that the proportion is less than 0.5.

Using the normal approximation to the binomial distribution, the z-score is calculated as:

z = (P - 0.5) / (√(p*(1-p)) / √(n))

where P is the sample proportion (46.9%), p is the population proportion (0.5), and n is the sample size (1009).

The p-value is the probability of getting a z-score as extreme or more extreme than the one calculated, assuming the null hypothesis is true.

z = (0.469 - 0.5) / (√(0.5*(1-0.5)) / √(1009)) = -2.2

The p-value is calculated by looking up the z-score of -2.2 in a standard normal table and finding the probability in the lower tail. The p-value is approximately 0.0135

Since the p-value (0.0135) is less than the significance level (0.05), we r.e.j.e.c.t. the null hypothesis and conclude that it is true to suggest that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it.

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Answer:

Step-by-step explanation:

Multiply?

Answer:

B.11

Step-by-step explanation:

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the image, CF corresponds to EF, CD corresponds to EG and DF corresponds to GF.

DF = DE + EF = 7 + 5 = 12

Since Triangle CDF is similar to triangle EGF. hence:

\(\frac{CF}{EF} =\frac{DF}{GF} \\\\\frac{CF}{5}=\frac{12}{4} \\\\CF=\frac{12*5}{4}\\\\CF=15\)

We can see that:

CF = CG + GF (line segment addition postulate)

CF = x + 4

15 = x + 4

x = 15 - 4

x = 11

Tuition rates for in-state residents were $92 per credit for the first 10 credits, $35 per credit for credits 11:18, and for more than 18 credits, the rate is $74 per credit.To write a piecewise defined function for the total tuition,

Case 1: when 0 ≤ c ≤ 10 (first 10 credits)Let the rate of tuition per credit be $92 for the first 10 credits. Tuition fees for the first 10 credits = 92c (where c represents the number of credits between 1 to 10)

Case 2: when 11 ≤ c ≤ 18 (credits 11:18)Let the rate of tuition per credit be $35 for the next 8 credits. Tuition fees for the next 8 credits = 8 × 35 = $280Tuition fees for credits 11:18 = 280 + 35(c - 11)

Case 3: when c > 18 (more than 18 credits)Let the rate of tuition per credit be $74 for the remaining credits (i.e., credits over 18).Tuition fees for more than 18 credits = 74(c - 18)

Thus, the total tuition fees for in-state residents, T, can be given as, T (c) = {92c, if 0 ≤ c ≤ 10; 280 + 35(c - 11), if 11 ≤ c ≤ 18; 74(c - 18), if c > 18}Hence, the, T (c) = {92c, if 0 ≤ c ≤ 10; 280 + 35(c - 11), if 11 ≤ c ≤ 18; 74(c - 18), if c > 18}.The domain for this function is {c | c is a real number and c ≥ 0} and the range of the function is {T | T is a real number and T ≥ 0}.

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Answer: 5/6

Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)

1-1/6 =5/6

The appropriate type of t-test for this study is a one-sample t-test.

A one-sample t-test is used to determine whether a sample mean is significantly different from a known or hypothesized population mean. In this case, the researcher wants to compare the obesity rate in a small community to the known obesity rate in the United States. As the population variance is unknown, the appropriate test is a one-sample t-test instead of a z-test.

The test involves calculating the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, divided by the standard error of the sample mean. The t-statistic is then compared to the critical t-value from the t-distribution to determine whether the difference is statistically significant.

Therefore, a one-sample t-test is appropriate for this study.

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The missing value, the interest rate (R), is approximately 1.4%.

To determine the missing value, we can use the formula for simple interest:

I = P * R * T

Where:

I = Interest

P = Principal (initial amount)

R = Interest Rate

T = Time (in years)

In this case, we are given the following information:

P = $1775

T = 4 years

I = $99.40

We need to find the value of R (Interest Rate).

Substituting the given values into the formula, we have:

$99.40 = $1775 * R * 4

Now we can solve for R:

R = $99.40 / ($1775 * 4)

R = $99.40 / $7100

R ≈ 0.014

To express the interest rate as a percentage, we multiply by 100:

R ≈ 0.014 * 100

R ≈ 1.4%

Therefore, the missing value, the interest rate (R), is approximately 1.4%.

Using the simple interest formula, we have determined that the interest rate for this scenario is 1.4%. This means that for an initial principal of $1775 over a period of 4 years, the interest earned would be $99.40.

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Answer:

6.6h

Step-by-step explanation:

Answer:

you pay 370.30

you saved 158.70

I believe

Answer:

$370.3

Step-by-step explanation:

If you need to find 30% of $529 you need to put 30% into a decimal. 30/100 =0.3 so if we do 0.3 x 529 we get the answer $158.7.

Then we subtract 529 by 158.7 to get 370.3 as the sale price.

The probability of getting a blue based on the image that we have in the problem here is 1/10

The idea of probability is used to calculate the possibility or chance of an event happening. It is a measurement of the probability that, out of all conceivable outcomes, a certain outcome or group of outcomes will occur.

Probability is simply represented as a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility. A probability of 0.5 (or 50%) means that there is an equal chance that an event will occur or not.

Thus:

P(Blue) = 1/10

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Answer:

it's 8

Step-by-step explanation:

21/5gal

Take 21 and divide by 5

4.2 per gal

62.05/15gal

Take 62.05 and divide by 15

4.1366666 per gal

The better deal is 4.136666 per gallon

Answer: 21/5 is the better deal

Step-by-step explanation:

A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:

Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).

Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).

If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).

Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.

Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.

This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.

In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

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Answer:

86.4m/s as 2.4^(2)=5.76

5.76x15=86.4

Answer:

8

Step-by-step explanation:

2 + 5 = 7

28/7 = 4

4 x 2 = 8

hope this helps plz give me brainliest

Answer:

3 3/4 yards

Step-by-step explanation:

6*5/8=3 3/4

a. I and II only true statement.

b . ∠3  = 84°

c . m∠KJM = 138° and m∠KLM  = 59°

Therefore, i and ii are true for an isosceles trapezium.

∠2 ≅ ∠3

∠1 ≅ 96°

Therefore,

∠3  = 180 - 96

∠3  = 84°

m∠KJM = 180 - x - 14

5x - 2 = 180 - x - 14

5x - 2 = 180 - x  - 14

5x + x = 180 - 14 + 2

6x = 168

x = 168 /6

x = 28

m∠KJM = 5(28) - 2 = 138°

m∠KLM  = 180 - 10y + 29

3y + 14 = 180 - 10y + 29

3y + 10y = 180 + 29 - 14

13y = 195

y = 195 / 13

y = 15

m∠KLM  = 3(15) + 14

m∠KLM  = 45 + 14

m∠KLM  = 59°

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Answer:

I think it is C. also

Step-by-step explanation:

Answer:

333.333...

Step-by-step explanation:

50kg = 50,000 g

so, 50,000/150 = 333.333...

Then first replace

How many digits

Olivia memorized 6 digits

Olivia want to be engineer

------------------------------------------

Winner memorized 25 digits

Winner love Pecan pie

Winner want to be astronaut

-----------------------------------------

Lucas memorized 13 digits

Lucas want to be firefighter

Lucas loves Key lime pie

----------------------------------------

Ava will be teacher or astronaut

Ava memorized 9 digits

Ava loves Pumpkin

Ava is teacher then

9. Winner,Lucas, Ava, Olivia

------------------------------------------

Noah is winner 25 digits

Noah wants to be astronaut

Answer:

\(x>-\frac{23}{7}\)

Step-by-step explanation:

\(-23<7x\\7x>-23\\x>-\frac{23}{7}\)

Answer:Its B. and D.

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation: