An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)

Answer:

  (a)  Shapes with perpendicular sides and shapes without perpendicular sides

Step-by-step explanation:

This appears to be a reading comprehension problem, along with a requirement that you recognize squares and rectangles have right angles and pairs of parallel equal-length sides.

__

The group descriptions are very careful to say that the members of Group B have no right angles. Members of both groups have equal-length sides and parallel lines, so those are not distinguishing criteria.

The relevant attribute for sorting appears to be right angles/no right angles.

Answer:

1/10

1/5

0.5

Explanation:

1/10 = 0.1

1/5 = 0.2

Answer:

A

Step-by-step explanation:

The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> add 4 to both sides

2x + 10 = x

==> subtract 2x from both sides

10 = -x

==> divide both sides by -1

x = -10

b)

4(5x - 2) = 2(9x + 3)

==> distribute the 4 and 2

20x - 8 = 18x + 6

==> add 8 to both sides

20x = 18x + 14

==> subtract 18x from both sides

2x = 14

==> divide both sides by 2

x = 7

Answer:

3 7/8 liters of rice

Step-by-step explanation:

[tex]1 \frac{5}{8} + 2 \frac{1}{4} [/tex]

[tex]1 \frac{5}{8} + 2 \frac{2}{8} = 3 \frac{7}{8} [/tex]

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

The area of the sector that Marla needs to remove is (3/2)π square feet.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ3

Answer:

40 is an addend in an addition

40 is the y-intercept if the question really is y = 7.5x + 40.

Step-by-step explanation:

40 is just a number in a sum of 2 numbers.

Perhaps you meant

y = 7.5x + 40

If that is the case, then 40 is the y-intercept.

Answer:

Below.

Step-by-step explanation:

a) reflection over y-axis.

b) dilation.

Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

Answer:

of Example 6

5 and 14

Step-by-step explanation:

IN EXAMPLE 6

Opposite angles are equal so you equate the first one like this

3x + 20 = 10x - 15

15 + 20 = 7x

35/7 = x

x = 5

In next question b

It is a straight line thus it's 180°

so 4n + 22 +8n -10 = 180

12n + 12 = 180

12n = 180 - 12

n =168÷ 12

n = 14

Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

Answer:

9 feet

Step-by-step explanation:

v = lwh (volume equals length times width times height)

75.6 = 4 x 2.1 x d

multiply l and w, which is 4 x 2.1

75.6 = 8.4 x d

divide 75.6 by 8.4

9 = d

Answer:

The value of j is 9feet

Step-by-step explanation:

[tex] \hookrightarrow \sf \: v = whl[/tex]

⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]

⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]

Step 1: Simplify both sides of the equation.

⇒[tex] \sf {75.6=8.4j}[/tex]

Step 2: Flip the equation.

⇒[tex] \sf {8.4j=75.6}[/tex]

Step 3: Divide both sides by 8.4.

⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]

⇒[tex] \sf {j=9}[/tex]

Answer:

A is your answer.

Step-by-step explanation:

.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.

Answer:

7

Step-by-step explanation:

Answer:

100 in^2

Step-by-step explanation:

Four right triangles      area of each = 1/2 b * h      each has b = 5   h = 10

 apparently not drawn to scale

4  *   1/2 ( 5 * 10)  = 100 in^2

Answer:

[tex]9\frac{52}{69} - 1 \frac{29}{50} [/tex]

[tex] \frac{673}{69} - \frac{79}{50} [/tex]

[tex] \frac{673}{69} to \: the \: nearest \: whole \: number \: is \: 10[/tex]

[tex] \frac{79}{50} to \: the \: nearest \: whole \: number \: is \: 2[/tex]

[tex] > > > 10 - 2 = 8[/tex]

Answer:

12

Step-by-step explanation:

End points of [tex]\overline{RS}[/tex] are:

[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]

[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]

Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3

[tex]\implies m = 4,\: n= 3[/tex]

Now, by section formula:

[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]

Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:

[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]

[tex]\implies T=(16,\:\:-4)[/tex]

Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

First find out the value of big triangle and small triangle and - Big triangle and small triangle

Step-by-step explanation:

The answer is class 1!!!!!

Answer:

The car is moved accross the y axis, then is moved down under the x axis. :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

$ 12 000.

Step-by-step explanation:

(175 000 + 225 000) * .03 =

We know that,

two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.

ATQ,

angle x lies on a line same as the other given angle which is intersected by an another line ,

hence,

Answer:

x = 8, y = 6/√3.

Step-by-step explanation:

The smaller triangle and the larger triangle are similar.

4 / 4√3 = (x - 6) / y

1/√3  =  (x - 6) / y

Also

y/6 = 1/√3

⇒ √3y = 6

⇒ y = 6/√3

Substitute for y in the first equation:

1/√3  =  (x - 6) / 6/√3

⇒ 1/√3 * 6/√3 = x - 6

⇒ x - 6 = 2

⇒ x = 8

Answer:

32.9

Step-by-step explanation:

7*9.4/2=32.9

The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

From the normal distribution table:

The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

90% confidence:

1.645

95% confidence:

1.960

99% confidence:

2.576

Step-by-step explanation:

EDGE2022

Answer:

a) 803.84 square feet

Step-by-step explanation:

[tex]\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}[/tex]

so 32 / 2 = 16 = radius

[tex]\sf{radius^{2} = 16^{2}=256}[/tex]

256 x 3.14 (because we are taking π as 3.14)

= 803.84

Hope this helps! If you need any further explanation, let me know!

- profparis