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Jet001 [13]
3 years ago
13

What is the opposite of -4

Mathematics
2 answers:
Marina86 [1]3 years ago
5 0
The answer is 4!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Katen [24]3 years ago
3 0
4 is the opposite of -4.
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Write and simplify an expression for the volume of a rectangular prism with length ℓ m, width 5 m, and height 6.5 m. What is the
Dominik [7]

Step-by-step explanation:

V= 32.5ℓ (m^3)

when ℓ= 8.4 m , V= 273 m^2

4 0
2 years ago
If BC = 5 and CD = 26, find AC.
Blababa [14]

Answer:

AC=\sqrt{130}

Step-by-step explanation:

AC is the geometric mean.  Solve it using this proportion:

\frac{BC}{AC}=\frac{AC}{CD}

Now fill in the values we know:

\frac{5}{AC}=\frac{AC}{26}

Cross multiply to get

(AC)^2=130

That means that

AC = \sqrt{130}, which, in decimal form is

AC = 11.40175425

3 0
3 years ago
The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t
Ilya [14]
 1.994 x 10^-23
-0.167 x 10^-23
 1.827 x 10^-23
Correct answer is the second one.

8 0
3 years ago
Consider the hypotheses below. Upper H 0​: mu equals 50 Upper H 1​: mu not equals 50 Given that x overbar equals 60​, s equals 1
Neko [114]

Answer:

We conclude that  \mu\neq 50.

Step-by-step explanation:

We are given that x bar = 60​, s = 12​, n = 30​, and alpha = 0.10

Also, Null Hypothesis, H_0 : \mu = 50

Alternate Hypothesis, H_1 : \mu \neq 50

The test statistics we will use here is;

                    T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~  t_n_-_1

where, X bar = sample mean = 60

              s = sample standard deviation = 12

              n = sample size = 30

So, Test statistics = \frac{60-50}{\frac{12}{\sqrt{30} } } ~ t_2_9

                             = 4.564

At 10% significance level, t table gives critical value of 1.311 at 29 degree of freedom. Since our test statistics is more than the critical value as 4.564 > 1.311 so we have sufficient evidence to reject null hypothesis as our test statistics will fall in the rejection region.

P-value is given by, P(t_2_9 > 4.564) = less than 0.05% {using t table}

Here also, P-value is less than the significance level as 0.05% < 10% , so we will reject null hypothesis.

Therefore, we conclude that \mu\neq 50.

7 0
3 years ago
Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.
Masja [62]

Answer:

See below.

Step-by-step explanation:

So, we have:

\sec(\theta)=-2/\sqrt{3}

Recall that secant is simply the reciprocal of cosine. So we can:

\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

and

7π/6 + 2nπ

6 0
3 years ago
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