If ∠TWS and ∠TWV are supplementary angles, then what is the measure of ∠TWS?
A.
60°
B.
70°
C.
69°
D.
21°

Answer:

If the mayor knows the area and length of the base of the flower garden, she can divide the area by the length to determine the height

Step-by-step explanation:

Area = Length • Height

divide both sides by Length

Area/Length = Height

Answer:

First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.

Sorry i'm really late with a answer but i hope it helps people

:)

Answer:

I'm just trying to make this as simple as possible for you.

The value of m is 5.

How?

We must follow a few simple methods to solve this problem.

Well, four to be precise.

All we need to do is add 4 to both sides of the equation, or \(-5m - 4 + 4=36+4\)

Then, we simply by adding the numbers together to get -5m = 36 + 4, or, 40.

Following that, we divide both sides of the equation by the same term, giving us the equation −

5 = 4

0 -5m=40

−5m=40 − 5 − 5 = 4 0 − 5 The -5's go under the numbers like a fraction.

Then, we cancel the terms that are in both the numerator and denominator.

−

5

−

5

=

4

0

−

5

=

4

0

−

5

Fractions same as last part.

Finally, we divide.

=

4

0

−

5

m={\color{#c92786}{\frac{40}{-5}}}

m=40​ - 5

= − 8

Please mark me brainliest if this had helped!

Sincerely, didntask

We need to show that the span of v2 is a subset of the \($\text{span}\{v_2\} \subseteq \text{span}\{v_1, v_2\}$\) and \($\text{span}\{v_2\} \subseteq \text{span}\{v_2, v_3\}$\).

To prove \($\text{span}\{v_2\} \subseteq \text{span}\{v_1, v_2\}$\), consider an arbitrary vector x in \($\text{span}\{v_2\}$\). This means that x can be written as \($x = a v_2$\) for some scalar a. Since \($v_1$\) is linearly independent of \($v_2$\), we know that \($v_2$\) cannot be expressed as a linear combination of \(v_1$ and $v_2$\). Therefore, x cannot be expressed as a linear combination of \(v_1$ and $v_2$\) either, implying \($x \notin \text{span}\{v_1, v_2\}$\). Hence, \($\text{span}\{v_2\} \subseteq \text{span}\{v_1, v_2\}$\).

Similarly, to prove \($\text{span}\{v_2\} \subseteq \text{span}\{v_2, v_3\}$\), consider an arbitrary vector y in \($\text{span}\{v_2\}$\). This means that y can be written as \($y = b v_2$\) for some scalar b. Since \($v_3$\) is linearly independent of \($v_2$\), we know that \($v_2$\) cannot be expressed as a linear combination of \(v_2$ and $v_3$\). Therefore, y cannot be expressed as a linear combination of \(v_2$ and $v_3$\) either, implying \($y \notin \text{span}\{v_2, v_3\}$\). Hence, \($\text{span}\{v_2\} \subseteq \text{span}\{v_2, v_3\}$\).

(b) We need to find the intersection of \($\text{span}\{v_1, v_2\}$\) and \($\text{span}\{v_2, v_3\}$\).

Notice that \($\text{span}\{v_1, v_2\}$\) is a subspace of \($\mathbb{R}^n$\) that contains both \(v_1$ and $v_2$\). Similarly, \($\text{span}\{v_2, v_3\}$\) is a subspace of \($\mathbb{R}^n$\) that contains both \(v_2\,\, and \,\,v_3\). Since \($v_2$\) is common to both spans, any vector in the intersection of these spans must contain \($v_2$\) as well.

Therefore, the intersection \($\text{span}\{v_1, v_2\} \cap \text{span}\{v_2, v_3\}$\) is equal to \($\text{span}\{v_2\}$\).

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Answer:

ITS C

Step-by-step explanation:

MULTIPLIED BY THE NUMBER TO THE LEFT LOL

An exponential function is y = 0.5ˣ.

What is an exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Here, we have

Given: (-2,4) & (1,0.5)

We have to find an exponential function.

An exponential function is in the general form

y = a(b)ˣ

We know the points  (-2,4) & (1,0.5)  so the following is true:

4 = a(b)⁻².....(1)

0.5 = ab.....(2)

From equation(1), we get

4 = a/b²

4b² = a

Now we put the value of a in equation(2) and we get

0.5 = b(4b²)

0.5/4 = b³

b = 0.5

If b = 0.5 then the value of a is:

0.5 = a(0.5)

a = 1

Giving us the equation:

y = 1(0.5)ˣ

y = 0.5ˣ

Hence, an exponential function is y = 0.5ˣ.

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Answer:

22.5

Step-by-step explanation

triangle FGH is 1.5 times bigger

15*1.5 = 22.5

Answer:

22.3

Step-by-step explanation:

Answer

y = 58 ( 1-0.07)^8 so y = 32.46

Step-by-step explanation:

To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:

So the hourly rate is $40.

Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:

So the initial fee is $15.

Answer:

\(x = 3\)

Step-by-step explanation:

\(tu = tv - uv \\ tu = (14x - 8) - 5 \\ tu = 14x - 13 \: - - - (1) \\ \\ tu = 9x + 2 \: - - - (2) \\ \\ sub \: (1) \: into \: (2) \\ \\ 14x - 13 = 9x + 2 \\ 14x - 9x = 2 + 13 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3\)

Answer:

f=2

Step-by-step explanation:

hope this helps you

Let's see

\(\\ \rm\Rrightarrow speed=20yd/s\)

\(\\ \rm\Rrightarrow Speed=20(3)=60ft/s\)

Option D

Answer:

2:10 or 1:5

Step-by-step explanation:

Answer: 4 squares to 1 triangle

Step-by-step explanation: both can be divided by two and that is the largest number they can be divided into

Answer:

3/y

Step-by-step explanation:

15x÷5xy

15x/5xy....you will cancel x by x and simplify by 5(GCF)

3/y ...... it is the simplify form of the given equetion.

Answer:

1. False

2. False

3. True

4. False

5. True

Step-by-step explanation:

Answer:

So, she should add 13 trees per acre for maximum harvesting

Step-by-step explanation:

a farmer finds that if she plants 80 trees per acre, each tree will yield 55 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. how many trees should she plant per acre to maximize her harvest? trees

Let x be the number of trees per acre she adds

Total trees per acre = 80+x

Yield per tree = 55-2x

F(x) = 4400−105x−2x2

Applying differentiation,

F1 (x) = -105 – 4x

Putting F1 (x) =0, gives x = -270/4

X= -67.5

F11 (x) = -4 < 0, hence maximum at x =-67.5

Trees

80-67.5 = 13

So, she should add 13 trees per acre for maximum harvesting

Answer:  986 becuase that is 65% of the capacity

Step-by-step explanation:

Answer: 986

Step-by-step explanation:

Answer;

J is 6

Step-by-step explanation:

Answer:   j = 486

Step-by-step explanation:

b. gh is a perp. bisector .

Colin's new mean score, after getting 6 runs on Sunday, is approximately 20.09.

To calculate Colin's mean score, we need to sum up all his scores and divide by the number of scores.

a) Mean score:

16 + 11 + 25 + 27 + 11 + 25 + 20 + 26 + 29 + 35 = 215

Total scores: 10

Mean score = 215 / 10 = 21.5

Colin's mean score is 21.5.

b) To calculate his new mean score after getting 6 runs on Sunday, we need to add the new score to the previous total and divide by the new number of scores.

New total scores = 215 + 6 = 221

New number of scores = 10 + 1 = 11

New mean score = 221 / 11 = 20.09 (rounded to two decimal places)

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Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

∵ T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

∴ m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

∴ 27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

∴ x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

∴ m∠JTS = 104°

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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The given function is `f(x) = x² - 16 / x - 4`. We have to find `limx→[infinity] f(x)`.The answer is `[infinity]`.

To find the given limit of the function `f(x) = x² - 16 / x - 4`, we have to find the behavior of the function as x approaches infinity.i.e. `limx→[infinity] f(x)`.

Here, `f(x) = x² - 16 / x - 4` can be written as:`f(x) = (x - 4) (x + 4) / (x - 4)`

Now, we can cancel the common terms `(x - 4)`.

Therefore, we have: `f(x) = (x + 4)`

Now, the value of `f(x)` approaches `[infinity]` as `x` approaches infinity. Hence, the required limit is also `[infinity]`.

Therefore, the answer is `[infinity]`.

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The player's expectation is approximately -$0.47. This means that, on average, the player can expect to lose about $0.47 per bet in the long run.

To find the player's expectation, we need to calculate the expected value or average outcome of the bet.

The probability of the ball landing on a red number is given by the ratio of red numbers to the total numbers on the roulette wheel, which is 18 red numbers out of a total of 38 numbers (18 red + 18 black + 2 green).

Probability of winning = 18/38

If the player wins, they receive the amount of their bet, which is $9. Therefore, the player's expected value can be calculated as:

Expected value = Probability of winning * Amount won + Probability of losing * Amount lost

The probability of losing is 1 minus the probability of winning:

Probability of losing = 1 - 18/38 = 20/38

The amount lost is the amount of the bet, which is $9.

Expected value = (18/38) * $9 + (20/38) * (-$9)

Simplifying the calculation:

Expected value = $4.2632 - $4.7368

Expected value ≈ -$0.47

Rounding to two decimal places, the player's expectation is approximately -$0.47.

This means that, on average, the player can expect to lose about $0.47 per bet in the long run.

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Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

\(P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278\)

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Answer: Ask three before me please!

Step-by-step explanation:

Caleb pays $40 for 4 fence posts and $54 for 3 fence panels, resulting in a total cost of $94 for 4 fence posts and 3 fence panels.

Let's assign variables to unknown quantities. Let's say the cost of a fence post is "p" and the cost of a fence panel is "q". We need to find the total cost of 4 fence posts and 3 fence panels.

From the given information, we can set up the following equations:

Equation 1: 5p + 4q = 122

Equation 2: 21p + 20q = 570

To solve these equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can express "p" in terms of "q":

5p = 122 - 4q

p = (122 - 4q) / 5

Substitute this value of "p" into Equation 2:

21((122 - 4q) / 5) + 20q = 570

Now we can solve this equation for "q" to find the cost of a fence panel.

After solving the equation, we find:

q = 18

Substitute the value of "q" back into Equation 1 to find the cost of a fence post:

5p + 4(18) = 122

5p + 72= 122

5p = 50

p = 10

Now we know that the cost of a fence post is $10 and the cost of a fence panel is $18.

To find the total cost of 4 fence posts and 3 fence panels, we can calculate:

Total cost = (4 * cost of a fence post) + (3 * cost of a fence panel)

Total cost = (4 * 10) + (3 * 18)

Total cost = $40 + $54

Total cost = $94

Therefore, Caleb pays $94 for 4 fence posts and 3 fence panels.

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Answer:

f(x)=0.5x+3.5, x<1

f(x)=-2x+6, x>1

Step-by-step explanation:

Find the Point of Interest, which is at x=1 because the direction changes. Find the slope (rise/run) of the line on the left which is 1/2 or 0.5. Find the y-intercept by plugging in the given point: (-3, 2). 0.5(-3)+c=2 so the y-intercept is 3.5. Do the same for the line on the right.

The measure of the angle for the given parallel lines cut by transversal is given by a = 126°, b =54°, c = 126°, d = 54°, e = 126°,  f = 54° and g = 126°.

From the attached figure,

Two parallel lines and a transversal cut both the parallel lines.

Measure of one of the angle = 54°

Measure of angle b degrees is vertically opposite angle .

This implies,

Measure of angle b = 54°

Measure of angle a is linear pair to 54°

⇒ Measure of angle a = 180° - 54°

⇒Measure of angle a =  126°

Measure of angle c is vertically opposite to ∠a

⇒Measure of angle c = 126°

using corresponding angle theorem,

Measure of angle c = measure of angle g

⇒measure of angle g = 126°

Measure of ∠a = Measure of ∠e

⇒Measure of ∠e = 126°

Measure of angle b = Measure of angle f

⇒Measure of angle f = 54°

Measure of d is vertically opposite to ∠f

⇒Measure of angle d = 54°

Therefore, the values of the measure of angle is equal to a = 126°, b =54°,

c = 126°, d = 54°, e = 126°,  f = 54° and g = 126°.

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The dimensions of the rectangle are length (l) = 29 cm and width (w) = 13 cm.

To find the dimensions of the rectangle, let's set up the equations based on the given information.

Let l be the length and w be the width of the rectangle.

According to the problem, the perimeter (p) of the rectangle is 86 cm, which can be expressed as:

p = 2l + 2w

Also, it is given that the length (l) is 1 cm more than twice the width (w), so we can write:

l = 2w + 1

Now we have a system of equations. We can substitute the value of l from the second equation into the first equation to solve for w.

Solving the equations will give us the values of l and w, which are the dimensions of the rectangle.

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Answer:

275

Step-by-step explanation: