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Rina8888 [55]
3 years ago
14

Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the

measures of angles QPS and TPR

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.

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Sam buys 4 boxes of the Crispy Crunch Cereal at Store A. What fraction of the original price of each box of cereal does he pay p
Step2247 [10]

Answer:

vb

Step-by-step explanation:

v

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8 0
3 years ago
Use a known maclaurin series to obtain the maclaurin series for the given function. f(x = 8x2 tan?1(7x3
11Alexandr11 [23.1K]
Going out on a limb here and guessing that the function is

f(x)=8x^2\tan^{-1}(7x^3)

Please correct me if this isn't the case.

Recall that

\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^nx^{2n+1}}{2n+1}

which converges for |x|.

It follows that

8x^2\tan^{-1}(7x^3)=8x^2\displaystyle\sum_{n\ge0}\frac{(-1)^n(7x^3)^{2n+1}}{2n+1}
=\displaystyle\sum_{n\ge0}\frac{56(-49)^nx^{6n+3}}{2n+1}
6 0
3 years ago
4. Bradford hopped into his Ford Mustang GT to rush to Diana and tell her
OLEGan [10]

Answer:

See explanation and image attached

Step-by-step explanation:

Acceleration refers to the rate of change of speed with time. We can see that between 0 and 4.7 seconds he accelerated quickly . That means that the rate of change of speed with time was greatest between 0 and 4.7 seconds.

A graph of the motion is shown in the image attached. We can see that he maintained a constant speed after 4.7 seconds.

5 0
3 years ago
Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel? A) 2x = 425 B) x
Snezhnost [94]

Answer:

the answer is x=185

Step-by-step explanation:

x+240=425

 -240  -240

x= 185

3 0
3 years ago
Read 2 more answers
Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will
VikaD [51]

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

A = P\left(1 + \dfrac{r}{n}\right)^{nt}

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $ 10 000 richer at the end of the competition.

7 0
3 years ago
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