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3 years ago

3 to the 4th power + 2 ⋅ 5 =

1 answer:

4 0

Hello,

The answer is "x=91".

Reason:

First write the equation:

3^4+2*5=

Now use PEMDAS:

E goes first:

3^4=3*3*3*3=81

81+2*5

M goes next:

2*5=10

81+10=

Now use A:

81+10=91

x=91

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

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Find the number of real- number solutions of the equation x^2+10=2

Andrew [12]

Answer:

imaginary

Step-by-step explanation:

$x {}^{2} = 2 - 10 \\ {x}^{2} = - 8 \\ x = \sqrt{ - 8}$

from the working strp, we know that the number is imaginary

we can't square root the negative number

4 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

An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac

HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount = $A(1+\frac{r}{n})^{nt}$

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

$P=2500(1+\frac{.0575}{1})^{3}$

P =2500(1.0575)³

= 2500×1.18

= $2956.52

We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

So after 3 years interest gained = $456.52

8 0

3 years ago

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Which is a correct first step in solving 5 - 2x < 8x - 3?

charle [14.2K]

Answer:

5 < 10x-3

Step-by-step explanation:

5 - 2x < 8x - 3

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x-3

3 0

3 years ago

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How do I solve this?: The times of all 15 year olds who run a certain race are approximately normally distributed with a given m

Effectus [21]

We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)

The formula for z-score:
z = (X-μ) ÷ σ

Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2

Substitute these value into the formula

z-score = (14.4 - 18) ÷ 1..2 = -3

We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)

From the table
P(Z < -3) = 0.0013

The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%

5 0

3 years ago

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