the triangle bounded by the lines y = o, y = 2x
and y = -0.5x + k with k positive is equal to 80 square untits find k

9514 1404 393

Answer:

  x = z = 98°

  y = 82°

Step-by-step explanation:

Opposite angles in a parallelogram are congruent. Adjacent angles are supplementary.

  x = z = 180° -82° = 98°

  y = 82°

Answer:

82°+nx360°

82°+1×360°

82°+360

so the answer is

x=z=98°

y=82°

Multiply the numbers:

-2 x 3 x -7 = 42

The the letters x time x = x^2

Y x y = y^2

Now combine for final answer:

42x^2y^2

Answer:

The answer to this question is given below in the explanation section.

Step-by-step explanation:

The table shows three different recipes. In this question, it is asked that will all the recipes taste same. To obtain the answer to this question, first, we measure the taste of each recipe in terms of calculating the ratio.  

Water ............................. Cups

     1   ............................. 3

    4   ............................. 12

    6   ............................. 18

1. The fraction of the first recipe is 1/3 so the ratio is 1:3(water to cup)

2. The fraction of the second recipe is 4/12

which can be simplified as 4/12=1/3 so the ratio is 1:3(water to cup)

3. The fraction of the third recipe is 6/18

which can be simplified as 6/18 = 3/9 = 1/3 so the ratio is 1:3(water to cup).

So based on the above answer, all recipes taste the same.

Answer 2:

No recipe taste different, all the recipe taste the same. Because all the recipe ratios are equivalent.

Answer:

the slope is -2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

step by step my g

Answer:

395.5*.07=27.685* 4 = 110.74

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

We have,

We need to calculate the initial discount given by the 23% off sale:

Discount

= 0.23 x $425

= $97.75

After the first discount, the mower's price is:

New price

= $425 - $97.75

= $327.25

Then, the store manager discounted it by another $10, so the final price is:

Final price

= $327.25 - $10

= $317.25

The total decrease in price is:

= $425 - $317.25

= $107.75

The percent decrease in the mower's price is:

Percent decrease

= (107.75 / 425) x 100%

= 25.3%

Therefore,

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

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1.644 gml⁻¹ is is the new volume of the water .

What is density, ?

density = mass/volume

     ρ  = 12.5/7.6

      ρ = 1.644 gml⁻¹

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Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

The test statistic for this hypothesis test is approximately -2.748. Americans spend less than 7 hours a week answering their email.

To find the test statistic, we need to perform a hypothesis test to determine if the sample data supports the researcher's suspicion that Americans spend less than 7 hours a week answering their email.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The population mean number of hours Americans spend answering their email per week is 7 or more

Alternative hypothesis (H₁): The population mean number of hours Americans spend answering their email per week is less than 7

Next, we can calculate the test statistic, which is the standardized value that measures the distance between the sample mean and the hypothesized population mean, considering the sample size and variability.

The test statistic formula for a one-sample t-test is given by:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

Given the information from the study:

Sample mean = 6.01

Sample standard deviation (s) = 8.96

Sample size (n) = 617

Hypothesized mean  = 7

Substituting these values into the formula, we get:

t = (6.01 - 7) / (8.96 / √617)

Calculating this expression gives us the test statistic.

t = (-0.99) / (8.96 / √617)

t ≈ -0.99 / (8.96 / 24.81)

t ≈ -0.99 / 0.3602

t ≈ -2.748

Therefore, the test statistic for this hypothesis test is approximately -2.748.

The test statistic provides a measure of how far the sample mean is from the hypothesized mean in terms of standard deviations. In this case, since the test statistic is negative, it suggests that the sample mean is less than the hypothesized mean, supporting the researcher's suspicion that Americans spend less than 7 hours a week answering their email.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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Answer:

\(m=4\) or \(m=\frac{4}{1}\)

Step-by-step explanation:

To find slope we use the slope formula

\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Two points on the line we can classify are (3,4) and (4,8)

(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 47}}{\left( \cfrac{7}{100} \right)47}\implies 3.29\)

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

Answer:

10.67%  per quarter

42.68%  per year

Step-by-step explanation:

The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate  formula  in excel as below:

=rate(nper,pmt,-pv,fv)

nper is 1 year multiplied 4 quarters=4

pmt is the amount invested  periodically and it is zero

Assume that $1000 was invested

FV which is the future value=1.5*$1000=$1,500

PV=$1000

=rate(4,0,-1000,1500)

rate=10.67%

rate per year=10.67% *4

Answer:

4480/960 = 4 2/3 days

Step-by-step explanation:

Answer: Width = 6 ft, length = 18 ft

Step-by-step explanation:

If the width is w, then the length would be 3w.

3 * 3w * w = 324

9w^2 = 324

w^2 = 36, since w is positive it has to be 6.

So, the width = 6 and the length = 18.

Answer:

64

Step-by-step explanation:

-8^2 = 64

Since 8^2 = 8 * 8 = 64

So: -8^2 = -8 * -8 = 64

The sum of the coefficients in the expanded expression (2x - 1)⁴ is 1.

To expand the expression (2x - 1)⁴ we can use the binomial expansion formula.

The formula states that for a binomial expression (a + b)ⁿ, the expanded form can be found using the following pattern:

(a + b)ⁿ = C(n, 0) × aⁿ × b⁰ + C(n, 1) × a⁽ⁿ⁻¹⁾ × b¹ + C(n, 2) × a⁽ⁿ⁻²⁾ × b² + ... + C(n, n-1) × a¹ × b⁽ⁿ⁻¹⁾ + C(n, n) × a⁰ × bⁿ,

where C(n, k) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items.

Applying this formula to (2x - 1)⁴, we have:

(2x - 1)⁴ = C(4, 0) × (2x)⁴ × (-1)⁰ + C(4, 1) × (2x)³ × (-1)¹ + C(4, 2) × (2x)² × (-1)² + C(4, 3) × (2x)¹ × (-1)³ + C(4, 4) × (2x)⁰ × (-1)⁴.

Let's simplify each term:

C(4, 0) = 1,

C(4, 1) = 4,

C(4, 2) = 6,

C(4, 3) = 4,

C(4, 4) = 1.

Now, we can simplify the expression further:

(2x - 1)⁴ = 1 × (2x)⁴ × 1 + 4 × (2x)³ × (-1) + 6 × (2x)² × 1 + 4 × (2x)¹ × (-1) + 1 × (2x)⁰ × 1.

Expanding and simplifying each term:

(2x)⁴ = 16x⁴,

(2x)³ = 8x³,

(2x)² = 4x²,

(2x)¹ = 2x,

(2x)⁰ = 1.

Substituting the simplified terms:

(2x - 1)⁴ = 16x⁴ - 4 × 8x³ + 6 × 4x² - 4 × 2x + 1.

Now, let's find the sum of the coefficients, which is the sum of the numerical coefficients in front of each term:

Sum of coefficients = 16 - 4 × 8 + 6 × 4 - 4 × 2 + 1

= 16 - 32 + 24 - 8 + 1

= 1.

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Answer:

60 x 120

Step-by-step explanation:

2x(x) = 7200

2\(x^{2}\) = 7200  divide both sides by 2

\(x^{2}\) = 3600

\(\sqrt{x^{2} }\) = \(\sqrt{3600}\)

x = 60

This is one of the dimensions.  The other dimension is twice 60 or 120.

a = lw

a = (60)(12)

a = 7200

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

The area is 6

because the base is 4 units and the height it 3 units, and base times height will give you 6.

The exact length of the curve is approximately 32.953 units.

The length of a curve defined parametrically by x=f(t) and y=g(t) for a≤t≤b can be calculated by using the following formula:

L = ∫a^b √[f'(t)^2 + g'(t)^2] dt

Using the given values, we have:

f(t) = 2/3 t^3

g(t) = t^2 - 2

a = 0

b = 5

Taking the derivatives, we get:

f'(t) = 2t^2

g'(t) = 2t

Plugging these values into the formula, we get:

L = ∫0^5 √[(2t^2)^2 + (2t)^2] dt = ∫0^5 2t√(5t^2 + 4) dt

This integral cannot be evaluated using elementary functions, so we need to use numerical methods to find an approximate value.

Using a numerical integration method such as Simpson's rule with n=10, we get:

L ≈ 32.953

Therefore, the exact length of the curve is approximately 32.953 units.

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Answer:

answer in scientific notation.

PLZ answer quick, 30 points

Answer:

the answer is b because perpendicular is when 2 line meet at a 90 degree angle

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

tan 40 = x / 18

x = 15.10 ft

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