Ask question

Ask question

All categories

3 years ago

5

9x^2-16=0 I need to solve

1 answer:

vivado [14]3 years ago

3 0

<span><span><span>Its $x=± \frac{4}{3}$
</span><span><span /><span /><span><span /></span></span></span></span>

You might be interested in

The greatest common factor of 30.48.60

Elena-2011 [213]

30= 3*10
30= 3*2*5

48= 12*4
48= 3*4*4
48= 3*2*2*2*2

60= 3*20
60= 3*10*2
60= 3*2*5*2

The GCF is 3*2 because all 3 numbers contain a 3 and a 2 in their prime factorizations.

Final answer: 6

6 0

3 years ago

The guitar that you always wanted is on sale in the music store. It costs 2/3 the original price. The guitar now costs $1996.67,

AysviL [449]

Answer:

3,327.9

Step-by-step explanation:

now: 1996.67

original: 3,327.9

1996.67/.6 = 3,327.9

4 0

3 years ago

Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) wit

adell [148]

Answer:

The test is not significant at 5% level of significance, hence we conclude that there's no variation among the discussion sections.

Step-by-step explanation:

Assumptions:

1. The sampling from the different discussion sections was independent and random.

2. The populations are normal with means and constant variance

$H_0:$ There's no variation among the discussion sections

$H_1:$ There's variation among the discussion sections

$\alpha =0.05$

Df Sum Sq Mean sq F value Pr(>F)

Section 7 525.01 75 1.87 0.99986

Residuals 189 7584.11 40.13

Test Statistic = $F= \frac{75}{40.13} =1.87$

$Pr(>F) = 0.99986$

Since our p-value is greater than our level of significance (0.05), we do not reject the null hypothesis and conclude that there's no significant variation among the eight discussion sections.

3 0

3 years ago

Erm I don't understand-

Lana71 [14]

Answer:

1. (7+3)/2

2. 6, 3

3. 5/6

4. 500, 4000

Step-by-step explanation:

1. We are adding 7 and 3 so use the plus sign, THEN we divide by 2

Because we are adding first, put parentheses

(7+3)/2

2. Nearest whole means whole number (so basically no decimal)

5.823 --> 6 (because 8 is closer to 10 than 0)

3.147 --> 3 (because 1 is closer to 0)

3. 1/3+1/2

Find a common difference, which is 6

Multiply to get 6

1/3*2= 2/6

1/2*3=3/6

3+2=5/6 (when adding keep denominator the same)

4. There are 100 centimeters in a meter

5*100= 500 centimeters

There are 1000 grams in a kilogram

4*1000= 4000 grams

Hope this helps, lemme know if somethings still unclear!!

6 0

3 years ago

Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i

Marat540 [252]

Answer:

$p = 19.18$

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

$a^2 = b^2 + c^2 - 2bcCosA$

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

$g^2 = s^2 + p^2 - 2spCosG$

Where

$s = 10$

$g = 18$

The equation becomes

$18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68$

$324 = 100 + p^2 - 20 * p * 0.375$

$324 = 100 + p^2 - 7.5p$

Collect Like Terms

$p^2 - 7.5p + 100 - 324 = 0$

$p^2 - 7.5p - 224 = 0$

Using quadratic formula:

$p = \frac{-b\±\sqrt{b^2-4ac}}{2a}$

Where

$a = 1$

$b = -7.5$

$c = -224$

$p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}$

$p = \frac{7.5\±\sqrt{56.25+896}}{2}$

$p = \frac{7.5\±\sqrt{952.25}}{2}$

$p = \frac{7.5\± 30.86}{2}$

$p = \frac{7.5 + 30.86}{2}$ or $p = \frac{7.5 - 30.86}{2}$

$p = \frac{38.36}{2}$ or $p = \frac{-23.36}{2}$

$p = 19.18$ or $p = -11.68$

But length can not be negative.

So:

$p = 19.18$

6 0

2 years ago