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3 years ago

Does anyone know what the answer please!?????????

Mathematics

1 answer:

stiks02 [169]3 years ago

5 0

Answer:

-5<x<9

Step-by-step explanation:

Within a triangle, the greater an angle, the greater the length of opposite side. So, since we know that 42° gives an opposite side of 23, and (3x+15)° gives an opposite side of 21, (3x+15) must be less than 42:

3x+15<42

3x<27

x<9

We also know that the angle (3x+15)° cannot equal zero or less than zero. So find x when 3x+15=0, and note that our value for x must be greater than this:

3x+15=0

3x=-15

x=-5

so, -5<x

Put both parts together to get: -5<x<9

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How do you solve c for a/b=c

asambeis [7]

The variable your solving for should be on the left side, so just flip it
c=a/b

5 0

3 years ago

Which expression is equivalent to (^5sqrt3^2)^1/3

11Alexandr11 [23.1K]

Answer:

3^2/15

Step-by-step explanation:

(^5sqrt3^2)^1/3

(3^2/5)^1/3

multiply the powers

3^2/5*1/3

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6 0

3 years ago

Factor x^4 - 2x^3 - 33x^2 + 50x + 200 completely using the given factor x^2 - 25.

PIT_PIT [208]

You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and

x = - 5 are both zeros of the given quartic.

5 1 -2 -33 50 200

5 15 -90 -200

=====================================

1 3 -18 -40 0

What you have now is x^3 + 3x^2 - 18x - 40 = 0

Do another synthetic division

-5 1 3 -18 -40

-5 10 40

============================

1 -2 -8 0

The result is

x^2 - 2x - 8 = 0 which factors.

(x + 2)(x - 4) = 0

Answer

The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0

Long division

x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8

x^4 + 0 + 25x^2

==================

-2x^3 -8x^2 + 50x

-2x^3 + 0 + 50x

=================

-8x^2 + 0 +200

-8x^2 + 0 + 200

==================

5 0

4 years ago

Answers<br> A. 5<br> B. 9<br> C. 11<br> D. 13

MA_775_DIABLO [31]

4k-7=2k+3
-2k. -2k

2k-7=3
+7. +7
2k=10
2÷2 2÷10
k=5

4(5)-7=13

Answer D

5 0

4 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is

Leto [7]

Answer:

$t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827$

The degrees of freedom are given by:

$df=n-1=23-1=22$

And the p value taking in count that we have a bilateral test we got:

$p_v =2*P(t_{(22)}>0.827)=0.417$

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

Step-by-step explanation:

Information given

$\bar X=435$ represent the mean for the weight

$s=\sqrt{841}=29$ represent the sample standard deviation

$n=23$ sample size

$\mu_o =430$ represent the value that we want to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:

Null hypothesis: $\mu = 430$

Alternative hypothesis: $\mu \neq 430$

In order to cehck the hypothesis the statistic for a one sample mean test is given by

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we have this:

$t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827$

The degrees of freedom are given by:

$df=n-1=23-1=22$

And the p value taking in count that we have a bilateral test we got:

$p_v =2*P(t_{(22)}>0.827)=0.417$

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

8 0

3 years ago