15.465 to the nearest hundrenth

Answer:

\(\boxed {\tt 13.75 \ yards}\)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.

One of the legs is 10 yards, and the other is unknown. The hypotenuse is 17 yards, because it is the longest side.

\(a= 10 \ yd\\b=b\\c= 17 \ yd\)

Substitute the values into the formula.

\((10 \ yd)^2+b^2=(17 \ yd)^2\)

Evaluate the exponents.

\(100 \ yd^2+b^2= (17 \ yd)^2\)

\(100 \ yd^2+b^2= 289 \ yd^2\)

Now, solve for b. First, subtract 100 yards squared from both sides of the equation.

\(100 \ yd^2-100 \ yd^2+b^2= 289 \ yd^2- 100 \ yd^2\)

\(b^2=289\ yd^2-100 \ yd^2\)

\(b^2=189 \ yd^2\)

Finally, take the square root of each side of the equation.

\(\sqrt{b^2} =\sqrt{189\ yd^2}\)

\(b=\sqrt{189 \ yd^2}\)

\(b=13.7477271 \ yd\)

Round to the nearest hundredth. The 7 in the thousandth place tells us to round the 4 to a 5.

\(b \approx 13.75 \ yd\)

The other side of the garden is about 13.75 yards long.

Answer:

See below

Step-by-step explanation:

\(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{2.8}{3.8}\\\\\cos\theta=\frac{\text{adjacent (base)}}{\text{hypotenuse}}=\frac{3}{3.8}\\\\\tan\theta=\frac{\text{opposite}}{\text{adjacent (base)}}=\frac{2.8}{3}\)

Answer:

Based on the information given the rate of return is 10.8%.

First step is to find the shares of stock price:

Shares of stock price=25 shares×$30/share

Shares of stock price= $750

Second step is to calculate the total sold price:

Total sold price= $825+$6

Total sold price= $831

Third step is to calculate the Rate of return:

Rate of return=$831-750/$750×100

Rate of return=$81/$750×100

Rate of return=10.8%

Inconclusion the rate of return is 10.8%.

Answer:

The purple one since non of the other are fractions

Step-by-step explanation: Hope this helps

Answer:

2

Step-by-step explanation:

2nd one is does not belong because there is no combination of constant and variable where as left equation have combination of constant and variable .

Answer:

x = 32.4

Step-by-step explanation:

3.6 = x/9

Multiply both sides by 9

3.6 times 9 = x

x = 32.4

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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9514 1404 393

Answer:

  2.05 pounds

Step-by-step explanation:

The total amount of dough Yahir is using is ...

  3.4 lbs + 4.8 lbs = 8.2 lbs

The amount used for each of 4 pizzas will be ...

  (8.2 lbs)/4 = 2.05 lbs . . . . for one pizza

Answer:

-143

Step-by-step explanation:

Answer:

--- 143

Factor:

(-1) x 11 x 13

Answer:

3rd one

Step-by-step explanation:

its an idiom you are welcome

The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And  substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x =  1.

Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

Answer:

f(n)= 160 -80n

Step-by-step explanation:

f(n)= 160 - 80n

the start is 160 you keep subtracting 80 depending on N so if N were 10 then you would do 160 - 80 *10 = 160 - 800 = -640

12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8

thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8

Answer:

Apply the formula πr^2/2

Answer:

56.52

Step-by-step explanation:

The forst thing to do is find the area of the entire circle.

\( {r}^{2} \times 3.14\)

So add the radius to the equation.

\( {6}^{2} \times 3.14\)

Solve for the equation.

\(36 \times 3.14 \\ 113.04\)

Now that is the area of the entire circle, so all is needed is to divide that by 2.

\(113.04 \div 2 \\ 56.52\)

Now you have the area of the semicircle.

Answer:

Yes

Step-by-step explanation:

Let the numbers be p q r such that p>q>r

So p + q + r = 3q

2q = p+ r

And q< p but q> c,

So by Solving this would give

q= (p+ r)/2

so q is the mean of p & r.

Since the only other number that fits is q,

Then q is the mean of the numbers p,q,r

As so q is also the median of this set

Thus proving that the mean is the same as the median.

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

-6

Step-by-step explanation:

Well you just plug in the value 3 for x. This will give you the following equation: \(\frac{4(3+3)(3+1)}{(3+5)(3-5)}\) which simplifies to \(\frac{4(6)(4)}{(8)(-2)}\) which further simplifies to \(-\frac{96}{16}\) which can further be simplified by dividing the two numbers and that results in -6

Answer:

A

Step-by-step explanation:

it really only means to replace every x by 3 and then simply calculate.

4(3+3)(3+1) / ((3+5)(3-5)) =

= 4×6×4 / (8×-2) = 96/-16 = -6

The relationship that is required for work to be done is the force must be perpendicular to the distance

The formula for calculating the work done is expressed as:

W = Fd

where
F is the force

d is the distance

For work to be done, the force must act perpendicularly to the given distance. Hence the relationship that is required for work to be done is the force must be perpendicular to the distance

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Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

Answer:

a and c

Step-by-step explanation:

Answer:

B, D and F
Step-by-step explanation:

a) Proof that {f1, f2, f3, f4} is a basis for RS:Given that, f1 = (0, 0, 0, 1), f2 = (0, 1, 0, 0), f3 = (1, 0, 0, 0), f4 = (1, 1, 1, 1)To show that {f1, f2, f3, f4} is a basis for RS, we can prove that f1, f2, f3, and f4 are linearly independent and that they span RS.Let's first show that {f1, f2, f3, f4} is linearly independent.

Therefore, we need to show that none of the elements can be represented as a linear combination of the others.Let's assume that, af1 + bf2 + cf3 + df4 = 0, for some a, b, c, d in R. This implies that,(0, 0, 0, a + b + c + d) = (0, 0, 0, 0).

Therefore, a + b + c + d = 0.Using the above equation, we can write f4 as a linear combination of f1, f2, and f3,f4 = (-1) f1 + f2 + f3This contradicts our assumption that f1, f2, f3, and f4 are linearly independent. Hence {f1, f2, f3, f4} is linearly independent.Now let's prove that {f1, f2, f3, f4} span RS.Since f1, f2, f3, and f4 have the same dimensions as RS, we just need to show that any vector in RS can be represented as a linear combination of f1, f2, f3, and f4. Any vector in RS can be represented as (a, b, c, d), where a, b, c, and d are real numbers.(a, b, c, d) = a(0, 0, 0, 1) + b(0, 1, 0, 0) + c(1, 0, 0, 0) + d(1, 1, 1, 1)Therefore, {f1, f2, f3, f4} is a basis for RS.b) Proof that (f1, f2, f3, f4) is a frame for RS. A frame is a set of vectors that provide a stable coordinate system. That means the vectors must be well spread out and nearly orthogonal to each other.Therefore, the inner products between these vectors must be nearly zero to avoid near-linear dependence of the vectors. We check that the frame condition is satisfied or not below.f1.f1 = 1, f2.f2 = 1, f3.f3 = 1, f4.f4 = 4f1.f2 = 0, f1.f3 = 0, f1.f4 = 1, f2.f3 = 0, f2.f4 = 1, f3.f4 = 2Since the vectors are all normalized, a lower inner product means the vectors are more nearly orthogonal. It can be observed that (f1, f2, f3, f4) is nearly orthogonal.

Hence (f1, f2, f3, f4) is a frame for RS.c) Proof that L is a linear map from RS to RS.Lf (a1f1 + a2f2 + a3f3 + a4f4) = a1Lf(f1) + a2Lf(f2) + a3Lf(f3) + a4Lf(f4) = a1(0, 0, 0, 0) + a2(0, 0, 0, 0) + a3(1, 1, 0, 0) + a4(1, 1, 0, 0) = (a3 + a4, a3 + a4, 0, 0)

Therefore, L is a linear map from RS to RS.d) The matrix that represents L in the frame (f1, f2, f3, f4) can be given as follows:(0, 0, 1, 1)(0, 0, 1, 1)(0, 0, 0, 0)(0, 0, 0, 0)e) Proof that is a bilinear form on RS. Bilinear form is a function of two vector arguments that is linear in each argument.Let f1 = (a1, b1, c1, d1) and f2 = (a2, b2, c2, d2).Therefore, β(f1, f2) = ΣΣ f1(m, n)f2(m, n) m=0 n=0= a1a2 + b1b2 + c1c2 + d1d2This is a bilinear form on RS.f) The matrix that represents in the frame (f1, f2, f3, f4) can be given as follows:(0, 0, 0, 0)(0, 1, 1, 2)(0, 1, 1, 2)(0, 2, 2, 4)

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The rational numbers are: 6.31245689, 1/6, √16, 1.3, 0, and √7569

The irrational numbers are: √2, π, √21.

The terminating decimals are:1/2, 1/5, 5/8, 12.567, and 1/4

The repeating decimals are:1/9, 6/9, 7/22, 9/11 and .3

A rational number can be written as a fraction, where both the numerator and denominator are integers. Rational numbers can be expressed as finite decimals or repeating decimals.

The following are rational numbers: 6.31245689, 1/6, √16, 1.3, 0, and √7569

While irrational numbers are those that cannot be expressed in this way and have non-repeating, non-terminating decimal representations.

The following are irrational numbers: √2, π, √21.

Finite decimals are decimals that have a terminating number of digits after the decimal point.

The following are all finite decimals:1/2, 1/5, 5/8, 12.567, and 1/4

Repeating decimals, on the other hand, are decimals that have a pattern of digits that repeat indefinitely after the decimal point. The following are repeating decimals:1/9, 6/9, 7/22, 9/11 and .3

In conclusion, rational numbers have a decimal expansion that either stop or repeats, while irrational numbers have a decimal expansion that goes on non-stop without repeating. A decimal is repeating if and only if it can be written as a fraction whose denominator is not divisible by any prime other than 2 or 5.

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The 4 tests of congruency are:

Side - Side - Side (S.S.S. congruency)

Side - Angle - Side (S.A.S. congruency)

Angle - Angle - Side (A.A.S congruency)

Right - Hypotenuse - Side (R.H.S. congruency)

Tests of congruency:

Side - Side - Side (S.S.S. congruency)

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Side - Angle - Side (S.A.S. congruency)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Angle - Angle - Side (A.A.S congruency)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Right - Hypotenuse - Side (R.H.S. congruency)

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

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Answer:

The number of cakes Sophia can make is 10.

Step-by-step explanation:

The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.

Number of cups = 152 / 4 = 38 cups

In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.

38 ÷ 3 3/4

38 ÷ 15/4

38 × 4/15 = 10.1 cakes

We are asked to evaluate the given triple integral ∫₀² ∫ₓ²ₓ ∫₀ˣy 6z dz dy dx.

To evaluate the triple integral, we will integrate the given function over the specified limits of integration. Let's break down the integral step by step.

First, we integrate with respect to z over the interval [0, y]. The integral of 6z with respect to z is 3z² evaluated from z = 0 to z = y, which gives us 3y².

Next, we integrate the result from the previous step with respect to y over the interval [x, 2x]. The integral of 3y² with respect to y is y³/3 evaluated from y = x to y = 2x. So the integral becomes (2x)³/3 - (x)³/3.

Finally, we integrate the result from the previous step with respect to x over the interval [0, 2]. The integral of (2x)³/3 - (x)³/3 with respect to x is [(2/4)(2x)⁴/3 - (1/4)(x)⁴/3] evaluated from x = 0 to x = 2. Simplifying further, we get (16/3 - 1/3) - (0) = 15/3 = 5.

Therefore, the value of the given triple integral is 5.

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Answeryes i cn answer

Step-by-step explanation:

i speakdh enlis

Answer:

1.C²= 64

√C² = √64

C = 8

2. 2b + 3 = 13

grouping liked terms

2b = 13 -3

2b = 10

dividing through by coefficient of b

b = 5

3.5x²y³/25xy⁴

= x/5y