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3 years ago

The line passes through the points (0, 100) and (4, 200).

Mathematics

2 answers:

likoan [24]3 years ago

4 0

B) Cassie made 100 extra parts yesterday, so she starts the new day with 100 parts. She can make 25 parts an hour.

Here, as we can see graph is starting from 100, so she had that yesterday, & she can make 100/4 = 25 parts an hour.

It is the only answer! Hope this helps!

lana [24]3 years ago

3 0

B) Cassie made 100 extra parts yesterday, so she starts the new day with 100 parts. She can make 25 parts an hour.

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Mr dambek had $90 to spend at the bulls game he spent 31/45 on his ticket the. He spent 3/7 of his remaining money at the conces

slavikrds [6]

Answer:

He does not have enough money to buy the hat.

Step-by-step explanation:

First find out how much he spent on the ticket:

$90 \times {31 \over 45}=2 \times 31=62$

He spent $62 on the ticket, so he has $90 - $62 = $28 remaining. Now find out how much of that he spent at the concession stand:

$28 \times {3 \over 7}=4 \times 3=12$

He spent $12 at the concession stand, so he has $28 - $12 = $16 remaining. He does not have enough to buy the $18 hat.

6 0

3 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

4 0

2 years ago

Please help with this question !!

mario62 [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Please answer and explain how you did it.

alukav5142 [94]

Refer to the attached image.

Given: $m \angle A = 65^\circ$ and measure of exterior angle at C = $117^\circ$ .

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = $m \angle A + m \angle B$

$117^\circ = 65^\circ+ m \angle B$

$m \angle B = 52^\circ$

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

$m \angle A + m \angle B + m \angle BCA = 180^\circ$

$65^\circ + 52^\circ + m \angle BCA = 180^\circ$

$117^\circ + m \angle BCA = 180^\circ$

$m \angle BCA = 180^\circ - 117^\circ$

$m \angle BCA =63^\circ$

Therefore, the measure of $m \angle B = 52^\circ$ and $m \angle BCA =63^\circ$ .

8 0

3 years ago

The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time

ipn [44]

The answer is 2 and a half. Because 18 + 6 + 6 + 3 is 33. This is because $18 to get in then $6 for one hour another $6 for an hour and $3 for an half hour.

5 0

3 years ago