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3 years ago

Need help what is the answer for this equation 4t-10=30

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer: t=10

Step-by-step explanation: 4 times 10 is 40. 40 minus 10 is 30. 4t-10=30;t=10.

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Solve the equation by using square roots. 2 x 2 − 9 = 11

VashaNatasha [74]

Answer:

x = ± $\sqrt{10}$

Step-by-step explanation:

Given

2x² - 9 = 11 ( add 9 to both sides )

2x² = 20 ( divide both sides by 2 )

x² = 10 ( take the square root of both sides )

x = ± $\sqrt{10}$ ← exact solutions

3 0

3 years ago

Mona wants to obtain a 94% confidence interval for the mean weight of turtles. She read in the Big Book of Turtles that the stan

mel-nik [20]

Answer:

Step-by-step explanation:

Population standard deviation = σ = 37 grams

Confidence interval = 94%

(1-α)×100% = 94

⇒α = 0.06

From table z table and interpolation

z = 1.881

L = Confidence interval length = 15

N = Number of samples

$L=2z_{\alpha/2}\frac{\sigma}{\sqrt N}\\\Rightarrow \sqrt N=2z_{\alpha/2}\frac{\sigma}{L}\\\Rightarrow \sqrt N=2\times 1.881\frac{37}{15}\\\Rightarrow \sqrt N=9.2796\\\Rightarrow N=86.11097616\approx 87$

∴ Number of turtles must she must weigh is 87

6 0

4 years ago

What are the solutions to the equation x^2-8x=24

Oduvanchick [21]

$x^{2} - 8x = 24$

Transposing the equation to give zero on the RHS:
$x^{2} - 8x - 24 = 0$

Since we can't factorise it directly, we must complete the square to yield any solutions:
$x^{2} - 8x + ( \frac{8}{2})^2 - (\frac{8}{2})^2 - 24 = 0$
$(x^{2} - 8x + 16) - 16 - 24 = 0$
$(x-4)^2 - 40 = 0$
$(x-4)^2 = 40$
$x-4 = +/- \sqrt{40}$ ––> because square rooting yields a positive and negative solution.
x = 4 +/- $\sqrt{40}$
x = 4 +/- $2 \sqrt{10}$

Correct me if I'm wrong anyone.

4 0

3 years ago

Find the ratio of the number of days with no fire incidents to the number of days with more than 5 fire incidents .

jeka94

Answer:

ratio = 4

Step-by-step explanation:

According to the given table:

• the number of days with no fire incidents

= 16

• the number of days with more than 5 fire incidents

= 2 + 2

= 4

Conclusion :

the ratio of the number of days with no fire incidents

to the number of days with more than 5 fire incidents is :

16 to 4 (16 : 4)

Then

The ratio = 4

3 0

2 years ago

Saturn is 8.867 × 10^8 miles away from the Sun. Uranus is 1.787 × 10^9 miles away from the Sun. Approximately how many times far

Over [174]

Answer:

2 times

Step-by-step explanation:

Please refer to the image attached of our solar system in which Saturn and Uranus are clearly visible.

Distance of Saturn from Sun, $D_{1} = 8.867 \times 10^{8}\ miles$

Distance of Uranus from Sun, $D_{2} = 1.787 \times 10^{9}\ miles$

We have to find, how many times the Uranus is far from Sun than Saturn is far from Sun.

Let us begin by multiplying the distance of Saturn from Sun by 2: $D_{1} \times 2 = 8.867 \times 10^{8}\ miles \times 2\\\Rightarrow 17.734 \times 10^{8}\ miles\\\Rightarrow 1.7734 \times 10^{1} \times 10^{8}\ miles\\\Rightarrow 1.7734 \times 10^{8+1}\ miles\\\Rightarrow 1.7734 \times 10^{9} $\approx$ D_{2}$

From above, we can say that $D_{2}$ is approximately twice of $D_{1}$ .

In other words, we can say that Uranus is at approximately twice distance from Sun than that of Saturn is.

3 0

3 years ago