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vodka [1.7K]
3 years ago
14

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0

Answer:its c

Step-by-step explanation:

Kisachek [45]3 years ago
7 0

Answer:

its C i just took a test on it

Step-by-step explanation:

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The triangles are congruent by SSS.
Marysya12 [62]

Answer:

a and d

Step-by-step explanation:

i took the test

8 0
3 years ago
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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 <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0
2 years ago
The sum of three consecutive odd integers is 69. find the integers
Marta_Voda [28]
Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

3x = 69

x = 23

Hence, the integers are 21, 23 and 25.
6 0
3 years ago
Machine produces 1000 bowling pins per hour each valued at $8.37 what is the total value of the PMs produced in one hour
Komok [63]
Number of pins produced per hour is 1000
value of each pin is $8.37
total value of pins produced= 1000×$8.37
=$8370
8 0
3 years ago
Plz 30 points im desperate
loris [4]

Answer:

See below for answers and explanations

Step-by-step explanation:

Your table is a little weird, so I will try my best:

a) A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where y-hat is the predicted value for the recorded weight gain (in pounds) and x is the additional daily caloric intake. You can put the data into lists and use the LinReg function on the TI-84 to get this equation.

b) It seems that as the pony's additional calorie intake increases, the weight gain also increases in pounds

c) Set x equal to 2300 and solve for y-hat:

y-hat = 0.018x - 24.5111

y-hat = 0.018(2300) - 24.5111

y-hat = 41.4 - 24.5111

y-hat = 16.8889

So our predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.

3 0
3 years ago
Read 2 more answers
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