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3 years ago

Write the equation 0.3x 2 + 5x - 7 = 0 in standard form and then choose the value of "b."

2 answers:

7 0

The answer is b = 50.

The general form of quadratic equation is
ax² + bx + c = 0.

To write the equation 0.3x²<span> + 5x - 7 = 0 in standard form, you must get rid of decimals. To do that, multiply the equation by 10:
</span>10 * (0.3x²<span> + 5x - 7) = 10 * 0
</span>10 * 0.3x² + 10 * 5x - 10 * 7 = 0
3x² + 50x - 70 = 0

Now compare this equation with the general formula:
ax² + bx + c = 0
3x² + 50x - 70 = 0

Therefore, b = 50.

dimulka [17.4K]3 years ago

7 0

Answer:

B is the answer

Step-by-step explanation:

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Prove or disprove that (1)/(1-cot x) is the same as (sin x)/(sin x - cos x)

SIZIF [17.4K]

$\dfrac{1}{1-\cot x}=\dfrac{\sin x}{\sin x-\cos x}\\\\L_s=\dfrac{1}{1-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x}{\sin x}-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x-\cos x}{\sin x}}=\dfrac{\sin x}{\sin x-\cos x}=R_s$

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3 years ago

If EF = 8x + 16, FG = 60, and eg = 156, find the value of x

zubka84 [21]

Answer:

Step-by-step explanation:

8x+16+60=156

8x+76=156

8x=80

x=10

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2 years ago

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col

Alinara [238K]

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

$n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\$

For sample 2:

$n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\$

Calculating the null and alternative hypotheses:

$H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1$

Calculating the test statistic:

$Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693$

Calculating the conservative degrees of freedom:

$DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24$

by using Excel the p-value for left tailed test and for test statistic will be $-1.693$ with $DF = 24$ .

$\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}$

5 0

3 years ago

Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ

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(a) $\varphi(13)=12$ since 13 is prime.

(b) $81=3^4$ , and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so $\varphi(81)=54$ .

(c) $100=2^2\cdot5^2$ ; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with $\varphi(100)=100-60=40$ .

(d) $102=2\cdot3\cdot17$ ; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so $\varphi(102)=102-70=32$ .

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4 years ago

I will give brainliest!!!!

jonny [76]

It think it’s gonna be A

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3 years ago

Read 2 more answers