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2 years ago

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There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members

to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

1 answer:

iVinArrow [24]2 years ago

5 0

Answer: Please Give Brainliest. Thank You!

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For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (

KengaRu [80]

Repeated measures study is when participants of the first treatment are still the participants of the second treatment either to see the effects of the variable. Thank you for your question. Please don't hesitate to ask in Brainly your queries.

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2 years ago

A researcher is testing how bacterial cells react to different environments. She placed a petri dish that initially had 32,000 b

Nataly [62]

<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

$y=a(1 - r)^x$

Where,

a = starting amount = 32000
r = rate = 50% = 0.5 as the sample becomes halved in each hour
x = hours

Putting the values,

$\Rightarrow y=32000(1 - 0.5)^x$

$\Rightarrow y=32000(0.5)^x$

y-intercept means, where x=0, so

$\Rightarrow y=32000(0.5)^0\\\\\Rightarrow y=32000\times 1=32000$

The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

$\Rightarrow y=32000(0.5)^3$

$\Rightarrow y=32000\times 0.125$

$\Rightarrow y=4000$

The coordinate of this point will be (3, 4000)

7 0

2 years ago

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$

$m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle$

$360^\circ =$Total Angle$

Therefore, the formula is:

$\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}$

Therefore, the formula is best explained by Option A.

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2 years ago

A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius

lord [1]

The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form $y=mx+c$ where $m$ is the rate of increase and $c$ is the value of $y$ when $x=0$

We have
$m = 0.07$
$c=36$ when $t=0$

So the equation is $r=0.07t+36$

The length of the radius when $t=400$ seconds is
$r=0.07(400)+36$
$r=64$ inches

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2 years ago

Which statement is true about the graphed function

natka813 [3]

From -∞ to -4 the blue line is above the X axis which means it is >0

The blue line is negative between -4 and -3

This would make the correct answer: F(x) > 0 over the interval (-∞,-4)

8 0

2 years ago

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