Given the angles in the figure below, is l1 ll l2?

The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Answer:

$40.60

Step-by-step explanation:

Answer:

1) D

2) C

3) B

4) A

Step-by-step explanation:

type them into desmos online calculator to see the lines

The direction and degree of rotation used to create the image include the following: C. 90° clockwise rotation.

In Mathematics and Geometry, a rotation is a type of transformation that moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying either a rotation of 90° clockwise or a rotation of 270° counterclockwise to the coordinate of triangle ABC, the coordinate of its image (triangle A′B′C′);

(x, y)                            →            (y, -x)

Point A = (-2, -7)          →     Point A′ (-7, 2)

Point B = (3, -2)          →     Point B′ (-2, -3)

Point C = (2, -10)          →     Point C′ (-10, -2)

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Complete Question:

Determine the direction and degree of rotation used to create the image.

90° counterclockwise rotation

270° clockwise rotation

90° clockwise rotation

180° clockwise rotation

$450 if you need the process ask me will give it to you

Answer: follow this you'll be able to solve it

Step-by-step explanation: mean = 98.11F

standard deviation = 0.56F

99.79 – 98.11 = 1.68 = 3 standard deviations

96.43 – 98.11 = –1.68 = –3 standard deviations

96.43F and ​99.79F are 3 standard deviations from the mean 98.11F.

By the empirical rule we know that 99.7% of the data lies within 3 standard deviation of the mean.

Approximately 68% of healthy adults in this group have body temperatures within 1 standard of the​ mean, or between 97.55F and 98.67F.

Answer:

The critical value that corresponds to a confidence level of 97.1% is \(Z = 2.18\).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

97.1% confidence level

So \(\alpha = 0.029\), z is the value of Z that has a p-value of \(1 - \frac{0.029}{2} = 0.9855\), so \(Z = 2.18\).

The critical value that corresponds to a confidence level of 97.1% is \(Z = 2.18\).

Answer:-4

Step-by-step explanation:

The volume of the prism is 48.75cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

A prism is a solid shape that is bound on all its sides by plane faces.

The volume of the prism is expressed as;

V = base area × height

base area = 1/2 bh

area = 1/2 × 6 × 5/2

= 30/4

= 7.5 cm²

Height of the prism = 13/2 = 6.5 cm

Therefore the volume

= 7.5 × 6.5

= 48.75 cm³

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Answer:

Step-by-step explanation:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x - 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

1.To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

2.To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

3.To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

The probability of throwing 3 shots is 100% and the sample space is set of all possible real number.

Probability is the measure of the likelihood that a given event will occur. In this case, the event is a basketball player making a shot from the free throw line.

Since the player has a 40% success rate, we can calculate the probability of him making x number of shots, where x is the number of shots that he throws.

Since the shots are independent of each other, the sample space for x is the set of all possible numbers of shots that he can make, from 0 to the total number of shots (3 in this case).

Therefore, the sample space for x is {0, 1, 2, 3}, which means that the player has a 0% probability of making 0 shots, a 40% probability of making 1 shot, an 80% probability of making 2 shots, and a 100% probability of making all 3 shots

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Answer:

x=-7

Step-by-step explanation:

\(2x - x = - 4 - 3\)

\(x = - 7\)

i think this is the answer

Answer:

x = -7

Step-by-step explanation:

subtract 3 from both sides and subtract x from both sides

x = -7

Answer: -66.67%, but if the answer is supposed to positive then the answer is 66.67%.

* Hopefully this helps:)

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Remember that

In a direct variation

we have an equation of the form

y=kx

where

k is the constant of proportionality o slope of the linear equation

so

Verify each table

N 1

Find out the value of k

k=y/x

(5,1) ----> k=1/5

(7,2) ----> k=2/7

the values of k are not equal

that means

not represent a direct variation

N2

(6,3) -----> k=3/6=1/2

(12,6) -----> k=6/12=1/2

(18,9) ----> k=9/18=1/2

the values of k are the same

so

represent a direct variation

N 3

(2,10) -----> k=10/2=5

(4,20) ----> k=20/4=5

(8,40) ----> k=40/8=5

the values of k are the same

so

represent a direct variation

N 4

(4,2) ----> k=2/4=1/2

(8,4) -----> k=4/8=1/2

(12,6) ----> k=6/12=1/2

the values of k are the same

so

represent a direct variation

therefore

Answer:

Step-by-step explanation:

3

For f: R" + R be a convex function (i) and (ii) are equivalent definitions for m-strong convexity because m[||px + (1-p)y||².

Let x, y ∈ \(R^n\) and let 0 < p < 1. Then we have:

||px + (1-p)y|| ≤ ||px|| + ||(1-p)y|| [triangle inequality]

= p||x|| + (1-p)||y|| [since ||cx|| = |c| ||x|| for any scalar c]

Now, since f is convex, we have:

f(px + (1-p)y) ≤ pf(x) + (1-p)f(y)

Using the inequality above, we can substitute the right-hand side of this inequality as follows:

f(px + (1-p)y) ≤ pf(x) + (1-p)f(y)

f(px + (1-p)y) - pf(x) ≤ (1-p)f(y)

f(px + (1-p)y) - pf(x) + p(f(x) - f(y)) ≤ 0

Define h(p) = f(px + (1-p)y) - pf(x) - p(f(x) - f(y))

Then we have h(0) = f(y) - f(x) ≥ 0 and h(1) = f(x) - f(x) = 0.

Moreover, h is differentiable, since f is differentiable, and we have:

h'(p) = ∇\(f(px + (1-p)y)^T\) (x - y)

= \((x - y)^T\) ∇f(px + (1-p)y)

= \((x - y)^T\) [f(px + (1-p)y) - f(x)]

= \((x - y)^T\) [f(px + (1-p)y) - f(px) + f(px) - f(x)]

= \((x - y)^T\) [f(px + (1-p)y) - f(px)] + \((y - x)^T\) [f(px) - f(x)]

= p\((x - y)^T\) ∇f(px) + (1-p)\((y - x)^T\) ∇f(py)

= p\((x - y)^T\) ∇² f(px)(x - y) + (1-p)\((y - x)^T\) ∇² f(py)(y - x)

where the last equality follows from the mean value theorem for differentiation.

Since f is m-strongly convex, we have ∇² f(x) ≥ mI for all x ∈ \(R^n\), where I is the n x n identity matrix. Therefore,

h'(p) ≥ \(p(x - y)^T\) mI(x - y) + (1-p)\((y - x)^T\) mI(y - x)

= m||px + (1-p)y - x||² - m||px - x||² - m||(1-p)y - x||²

= m||px + (1-p)y - x||² - mp²||x||² - m(1-p)²||y||²

= m[p²||x||² - 2p||x||² + ||px + (1-p)y||²] + m[(1-p)²||y||² - 2(1-p)||y||² + ||px + (1-p)y||²]

= m[||px + (1-p)y||² - 2p||x||² - 2(1-p)||y||²]

= m[||px + (1-p)y||² - p²||x||² - (1-p)²||y||²]

= m[||px + (1-p)y||²]

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The domain is [0,100].[0,100]. The range is [0,1500] [0,1500]

(a) To find the cost of making 25 items substitute

x=25 in the equation

=10+500(25)

=10(25)+500(25)=750

c(x)=10x+500

c(25)=10(25)+500

c(25)=750

the cost of making 25 items is

$750

(b)

Since the maximum cost allowed is

$1500  

10+500≤1500

10x+500≤1500

To solve this inequality

First, subtract 500 from both sides

10≤1000

10x≤1000

Divide both sides by 10

≤100x≤100

This means you can make at most 100 items.

The domain is

[0,100].[0,100].

The range is

[0,1500] [0,1500].

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Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.

The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.

The next step is to branch from the starting point and show the possible results of the first event. This includes taking out  the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.

After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.

The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.

The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

yes the answer is he does make sense

The sum of the series ∑[infinity]n=15n(n+2) is 'dne' (does not exist) as the series diverges.

To determine the sum of the series, we first need to check if the series converges or diverges.

The series is given as:
∑[infinity]n=15n(n+2)

Step 1: Identify the type of series
This is an infinite series with terms involving a polynomial in n.
Step 2: Apply the Ratio Test
The Ratio Test is used to determine the convergence or divergence of a series. Let's take the ratio of consecutive terms:
lim (n→∞) \((|a_(n+1) / a_n|)\)
where, \((|a_(n+1) / a_n|)\)
\(a_(n+1) = (n+1)((n+1)+2) = (n+1)(n+3)\)
So, we have:
lim (n→∞) (|((n+1)(n+3))/(n(n+2))|)
Step 3: Simplify the limit
To simplify the limit, divide both the numerator and the denominator by the highest power of n,

which is \(n^2:\)
lim (n→∞) (|((1+(1/n))(1+(3/n)))/((1)(1+(2/n)))|)

Step 4: Calculate the limit
As n approaches infinity, the terms with 1/n will approach 0:
lim (n→∞) (|(1)(1+0)/(1+0)|) = 1
Step 5: Interpret the result
Since the limit is 1, the Ratio Test is inconclusive, and we cannot determine if the series converges or diverges based on this test alone.
However, since the series is an infinite series with terms involving a polynomial in n, it will diverge.

This is because the terms do not approach 0 as n approaches infinity.

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Answer: y=x−2 y = x − 2

Step-by-step explanation: