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3 years ago

Which algebraic expression matches

Mathematics

2 answers:

Nataliya [291]3 years ago

4 0

Answer:

Step-by-step explanation:

Start with small steps

the quotient of a number and 4.
A number is mentioned first. It's the numerator n. Four is the denominator n/4
The next part is ambiguous. Is 8 part of the denominator. The grammar says it would be, but I'm pretty certain that is not what is meant. What is meant is that 8 is added to the fraction
n/4 - 8

Hatshy [7]3 years ago

3 0

Answer:

A) $\frac{n}{4 - 8}$

Step-by-step explanation:

The quotient of a number four minus eight

n/ 4 - 8

If the question was "The quotient of a number and four", the answer would be n/4. But the question says "four minus eight", so the answer is $\frac{n}{4 - 8}$ .

Hope this helps!

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Mario walked at a rate of

rodikova [14]

The answer is C Mario’s walking rate is 9 mph

7 0

3 years ago

A submarine cuts through the water at an elevation of 203 meters under the sea. The sub rises, and the elevation changes by 4.3

mario62 [17]

The answer is -76.1 meters.

The submarine elevation before rising is -203 meters (it is negative because it is under the sea level which has 0 elevation): d₁ = -203 m
After the first rising, it moved 64.5 m: l₁ = 4.3 · 15 = 64.5 m
After the second rising, it moved 62.4 m: l₂ = 5.2 · 12 = 62.4 m

So, to calculate <span>the elevation of the submarine after rising (d</span>₂), we will add (because it is not going deeper, it rises toward the elevation of 0) two movements to the elevation before rising:
d₂ = d₁ - (l₁ + l₂) = -203 + (64.5 + 62.4) = -203 + 126.9 = -203 + 126.9 = -76.1.

5 0

3 years ago

Read 2 more answers

pls can u gus tell me the ans and explanation

Snowcat [4.5K]

Step-by-step explanation:

Volume of water = volume of container = 12 cm * 18cm * 9 cm

so, volume of water = 1944 cm³ (since its filled full the container)

By the question in cubical container,

or, 1/3 of l³ = 1944 (formula for volume of cube is l³)

or, l³/3 = 1944

or, l³ = 5832

so, l = 18 cm

Length of each edge of cubical container is 18 cm.

3 0

2 years ago

to find out whether a new serum will arrest leukemia, mice, all with an advanced stage of the disease, are selected. mice rec

8_murik_8 [283]

No, the serum is not effective because the p-value for the hypothesis test is greater than the level of significance, and the null hypothesis that the means of the two populations are equal is not rejected.

We are given the hypothesis as:

H₀: μ₁ − μ₂ = 0

H₁: μ₁ − μ₂ ≠ 0 where,

H₀ = the null hypothesis,

H₁ = the alternative hypothesis.

Calculate the test statistic. The equation is:

t = x₁ - x₂ / √pooled variance(1/n₁ + 1/n₂)

Substituting the values, we get that:

t = 2.86 - 2.075 / 2.81(1/5 + 1/4) = 0.699

We need to find the value of 0.699 from the t lookup table and the two-tailed probability is 0.5071.

Therefore, No, the serum is not effective because the p-value for the hypothesis test is greater than the level of significance, and the null hypothesis that the means of the two populations are equal is not rejected.

Know more about “hypothesis” here: brainly.com/question/11555274

#SPJ4

8 0

2 years ago

Read 2 more answers

Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Andre45 [30]

Answer: $\bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}$

2. Vertex: (-5, 4) Focus: (-6, 4) Directrix: x = -4

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex
p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$\bullet \quad a=\dfrac{1}{4p}$

1) y = (x + 3)² - 6 → a = 1 (h, k) = (-3, -6)

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}$

****************************************************************************************

$2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)$

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4$

7 0

4 years ago