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3 years ago

Juanita says that a scale of 1 in. : 0.4 ft is equivalent to the ratio 6 in. : 2.4 ft. Do you agree? Explain why or why not.

1 answer:

7 0

Answer:
Agree

Explanation:
The given scale is:
1 in : 0.4 ft
We want to get the equivalent ft for 6 in, therefore all we have to do is cross multiplication as follows:
1 in : 0.4 ft
6 in : ??
equivalent ft = (6*0.4) / (1) = 2.4 ft
This means that:
6 in : 2.4 ft is equivalent to the given scale

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What is the midpoint of a line segment with the ends 8,-3 and -5,-9

grandymaker [24]

Midpoint = (8-5),(-3-9) / 2
= (3,-12)/2
= (3/2,-6)

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4 years ago

1. How do you know whether an equation is linear or not? Pls help!

lozanna [386]

Answer:

An equation is linear if its graph forms a straight line. This will happen when the highest power of x is 1. Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.

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3 years ago

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If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?

V125BC [204]

Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.

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3 years ago

A website developer wished to analyze the clicks per day on their newly updated website. Let the mean number of clicks per day b

beks73 [17]

Answer:

Null Hypothesis, $H_0$ : $\mu$ = 200 clicks a day

Alternate Hypothesis, $H_A$ : $\mu\neq$ 200 clicks a day

Step-by-step explanation:

We are given that a website developer wished to analyze the clicks per day on their newly updated website.

The website developer wants to know if the number of clicks per day is different than 200 clicks a day, on average.

Let $\mu$ = mean number of clicks per day.

So, Null Hypothesis, $H_0$ : $\mu$ = 200 clicks a day

Alternate Hypothesis, $H_A$ : $\mu\neq$ 200 clicks a day

Here, the null hypothesis states that the mean number of clicks per day is 200 clicks a day.

On the other hand, the alternate hypothesis states that the mean number of clicks per day is different than 200 clicks a day.

Hence, this is the correct null and alternative hypotheses.

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4 years ago

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In the diagram below. C is an equal distance to A and B.

Fynjy0 [20]

Answer:

C(50;-20)

Step-by-step explanation:

The question is asking for the midpoint of the line.

The triangle is formed by placing a line directly from the y-axis to the x-axis.

The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].

your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.

Your coordinates for B are (100;0)

C[(x1+x2)/2 ; (y1+y2)/2 ]

C [(0+100)/2 ; (-40+0)/2 ]

C[ 100/2 ; -40/2]

C (50 ; -20)

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2 years ago