Solve for x in the diagram
A. 37
B. 14
C. 25
D. 15

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Answer: 45°

Step-by-step explanation:

Given that :

∠A=5x−15°---(1)

∠B=2x+21°----(2)

Equating

∠A = ∠B

(5x−15)° = (2x+21)°

5x - 15 = 2x + 21

Collecting like terms

5x - 2x = 21 + 15

3x = 36

x = 12

Substitute x = 12 in either angle A or B since both are congruent

∠A=(5x−15)°

∠A = (5(12) - 15)°

∠A = (60 - 15)°

∠A = 45°

∠A = ∠B = 45°

Answer:

24 cm

Step-by-step explanation:

To find the perimeter of the shape:

3+3+6+6=18

Perimeter of rectangle is 18

Triangle is equilateral, and therefore, all it’s sides are the same.

The final step is:

3+3+6+6+6= 24

Answer:

Option B. is the correct choice.

Step-by-step explanation:

Perimeter = 3+6+6+3+6

= 24 cm

Best Regards!

Answer:

Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier

Answer:

3/5 and 2/4

You can cross multiply

3 x 4 = 11

2 x 5 = 10

3/5 is bigger

You can also convert into decimal

3/5=0.6

2/4=0.5

Hope this helps

Step-by-step explanation:

Answer:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Step-by-step explanation:

Information given:

[tex] n=131[/tex] represent the sample size

[tex] \hat p=0.81[/tex] represent the estimated proportion

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=2.326[/tex]

And replacing into the confidence interval formula we got:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Answer:

B

Step-by-step explanation:

The next time Bus A leaves (75 minutes from 6:00), Bus B will also leave because 75 / 15 is a whole number. 75 minutes from 6:00 is 7:15 a.m.

Answer:

A, B

Step-by-step explanation:

Point C is greater than 4 because it is at 6.

6 is greater than 4.

Point A is less than Point B, -8 is less than 4.

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement,                                              Reason

MNOP is a parallelogram:,                     Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex]:,                                               Opposite sides of a parallelogram

∠PMO ≅ ∠MON:,                                    Alternate Int. ∠s Thm.

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]:,                                               Opposite sides of a parallelogram

∠POM ≅ ∠NMO:,                                    Alternate Int. ∠s Thm.

OM ≅ OM:,                                               Reflexive property

[tex]\overline{PM}\cong\overline{ON}[/tex]:,                                               Segment subtended by the same                                                                                                                              angle and on two adjacent parallel lines are congruent

Answer:

i think its c

Step-by-step explanation:

d looks even if that makes sense

Answer:

C cannot be represented by a linear function

Step-by-step explanation:

We can draw a line to represent the points, then it would be a linear functions

A,B and D can be represented by a linear function

C is a curve

Answer:

B is the answer.

Step-by-step explanation:

[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]  

[tex]\sqrt[4]{81^{5} }[/tex] =  [tex]81^{\frac{5}{4} }[/tex]

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

Learn more on standard deviation here: https://brainly.com/question/475676

Answer:

Which value of a in the exponential function below would cause the function to stretch?

(one-third) Superscript x

0.3

0.9

1.0

1.5

Step-by-step explanation:

Answer:

This can form a triangle

Step-by-step explanation:

Taking the two smaller segments

The larger segment must be greater than the sum of the two smaller

6+5 > 8

11>8 true

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer:

colorizing

Step-by-step explanation:

you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.

Answer:

it's y=5

Step-by-step explanation:

Answer:

The correct answer is -5 not 5.

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

Answer:

there is one possible value: 0.

Step-by-step explanation:

We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:

I case:

[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).

So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.

II case:

[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction

[tex]\frac{BASE}{0}[/tex] is not well-defined.

Answer:

columns: likes roller coasters, doesn’t like roller coasters;

rows: likes water rides, doesn’t like water rides

Step-by-step explanation:

You want to aks to your friends if they like or not water rides and roller coasters.

In a two-way table, a person goes only in one of the columns and only in one of the rows. Then, the columns would be: like A, doesn't like A; and the rows: like B, doesn't like B. Therefore if 10 people like roller coasters and don’t like water rides:

                                            likes roller coasters       doesn’t like roller coasters

likes water rides          

doesn’t like water rides                  10

Answer:

C

Step-by-step explanation:

BELIVE IT

Answer:

0.16666666666667

Step-by-step explanation:

Let me know if this is correct.

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

Answer:

∠x = 83°

Step-by-step explanation:

Since ∠x and ∠y are supplementary ∠s so they add up to 180°

So,

∠x + ∠y = 180

Where ∠y = 97°

∠x + 97° = 180

∠x = 180-97

∠x = 83°

Answer:

D) 45

Step-by-step explanation:

When a line bisects an angle, it cuts the angle into two equal halves. This means that ABD and DBC have the same angle measure, which is half of 90 degrees or 90/2=45. Hope this helps!

Answer: 16 more seniors than juniors stay at the after-school program

Step-by-step explanation:

50 * 60% = 50 * .6 = 30

30 * 80% = 30 * .8 = 24

50 - 30 = 20

20 juniors and 30 seniors in total

———————————————

20 * 40% = 20 * .4 = 8

24 - 8 = 16

Answer:

16 more seniors stay after school or

Step-by-step explanation:

50/kids

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Answer:

k = ⅕  

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4)     = a point on the line

(3k,0)   = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)

Answer:The answer is C 20 cm^3

Step-by-step explanation:

You just multiply 2 by 2 and get 4 and you have 5 squares and you get 4 times 5 which is 20 cm^3

Answer:

Divide the figure into 5 squares.

then find the area 1 square and multiply with 5.

Area of square=s*s

                       =4 cm²

Then 5*4=20 cm²

so c is the correct option.

              HOPE IT HELPS!

Answer:

[tex]x^2 = -16y[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (0,0)\\Focus = (0,-4)[/tex]

Required

Equation of the parabola (in standard form)

The standard form of a parabola is [tex](x - h)^2 = 4p (y - k),[/tex]

Such that

Vertex = (h,k)

Focus = (h, k + p)

For the vertex

This implies that (h,k) = (0,0)

h = 0 and k = 0

For the focus

This implies that (h, k + p) = (0, -4)

[tex]h = 0\\k + p = -4[/tex]

Recall that [tex]k = 0;[/tex]

Hence, [tex]0 + p = -4[/tex]

[tex]p = -4[/tex]

Substitute [tex]p = -4[/tex], [tex]h = 0\ and\ k = 0[/tex] in the given formula

[tex](x - h)^2 = 4p (y - k),[/tex] becomes

[tex](x - 0)^2 = 4 * -4 (y - 0),[/tex]

[tex](x)^2 = 4 * -4 (y),[/tex]

[tex]x^2 = -16 (y),[/tex]

[tex]x^2 = -16y[/tex]

Hence,, the standard form is [tex]x^2 = -16y[/tex]

Answer:

About 2.6 feet

Step-by-step explanation:

The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side. Therefore:

[tex]\tan 17= \dfrac{x}{8.6} \\\\x=\tan 17 \cdot 8.6\approx 2.6[/tex]

Hope this helps!