A shelf and bracket are shown below. The shelf is
perpendicular to the wall.

Note: The figure is not drawn to scale.
What angle (x), in degrees, does the bracket make
with the wall?

Answer:

In order to complete the equation we need to use this method :      

Future Amount = I(1+r)^t

I=Initial Amount

R=Growth rate

T=Time periods

Now that we know that....

Letsss seee:

You started with 55 so

Future Amount = 55(1+r)^t

The growth rate is 73% so we have to convert to decimal so

Future Amount=55(1+.73)^t

Time period is 73% every 2 days and you want to see how large the colony would be after 10 days so you do 10/2:

Future Amount=55(1+.73)^5

Future Amount therefore equals 852.301407 BUT You have to round to the nearest whole number Sooo

Step-by-step explanation:

Hope this helpss you Tony!

Answer:

How large would the colony be after 10 days?

852 is the answer.

Step-by-step explanation:

The fewest possible number of green marbles in the bag is 5.

As per the stated question.

Since there is a 35% possibility of obtaining a red, the same percentage must apply to getting a white.

35+35=70%

You have a 100% probability of selecting a marble,

70+30=100

The probability that you will select a blue or green stone must thus be 30%.

And if there are B blue marbles, then there will be 5 green marbles.

B+5B=30%

6B=30%

Blue=5%

Green = 30-5=25%

Thus, the ratio becomes.

Red: White: Green : blue

35  : 35     :       25:    5

Dive each by 5.

7    : 7      :      5   :   1

Thus, the fewest possible number of green marbles in the bag is 5.

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The complete question is-

A bag contains red marbles, white marbles, green marbles, and blue marbles. There are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag?

2B times as many gallons does pool A hold than pool B.

What is gallons?

The gallon is a volumetric unit that is used in both imperial and American customary measurements.

The imperial gallon (imp gal), which is equal to 4.54609 liters and was once used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and Australia.

Given:

Swimming pool A has 2^15 gallons of water.

Swimming pool B has 2^13 gallons of water.

We have to find the number of times pool A hold than pool B.

It is obvious that Swimming Pool A holds more water than Swimming Pool B.

Consequently, we must determine how many times as many gallons Pool A holds as Pool B:

2^15 > 2^13.

Therefore,

A = 2^15,  B = 2^15

[tex]A = (\frac{2^1^5}{2^1^3}) B = 2B\\ A = 2B[/tex]

Hence the proof.

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Answer:

It is not a right triangle.

Step-by-step explanation:

If the triangle were a right triangle, then the Pythagorean theorem would apply.

The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]

If A = 10, B = 16, and C = 20, then [tex]10^{2} + 16^{2} = 20^{2}[/tex].

[tex]10^{2} + 16^{2} = 100 + 256 = 356[/tex]

[tex]20^{2} = 400[/tex]

In conclusion, [tex]356 \neq 400[/tex], so this triangle is not a right triangle.

The price of gasoline when Ryan's mother started driving is $0. 45

A fraction can be defined as the part of a whole set, data or element.

The different types of fractions include;

Example of mixed fractions; 2 1/ 3

Example of simple fractions; 1/ 2

Example of proper fractions; 2/5

From the information given, we have;

Price of a gallon of gasoline is $2. 25

1/ 5 of $2.25

This is represented as;

1/ 5 × $2.25

Multiply the values

$0. 45

Hence, the value is $0. 45

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The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

Given the equation that models the situation expressed as:

4x + 6y = 48

We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.

If there are no cars i.e. at when x = 0

4(0) + 6y = 48

0 + 6y = 48

6y = 48

y = 48/6

y = 8

One of the solution is (0, 8)

If there are 3 cars, i.e. at when x = 0

4(3) + 6y = 48

12 + 6y = 48

6y = 48 - 12

y = 36/6

y = 6

The second solution will be (3, 6)

If there are 6 cars, i.e. at when x = 6

4(6) + 6y = 48

24 + 6y = 48

6y = 48 - 24

y = 24/6

y = 4

The third solution will be (6, 3)

If there are 9 cars, i.e. at when x = 9

4(9) + 6y = 48

36 + 6y = 48

6y = 48 - 36

y = 12/6

y = 2

The fourth solution will be (9, 2)

Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

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Answer:

Step-by-step explanation:

y=-3x

I could be wrong, but I hope it helps at

Answer:

x = 3

Step-by-step explanation:

f(x)=4x - 1

f(x)=11, find x.

We want the value of x that would make 4x-1 equal to 11.  Use 11 instead of f(x):

f(x)=4x - 1

11=4x - 1

Solve:

12 = 4x

x = 3

If x were 3, 4x-1 would be 4*3-3 or 11

Answer: [tex]f(a^2)=2a^2-4[/tex]

Step-by-step explanation:

Substituting [tex]a^2[/tex] for [tex]x[/tex], [tex]f(a^2)=2a^2-4[/tex].

Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is

Translation refers to a type of transformation that involve a straight line movement.

Movements as seen in translation includes

The up and down movements are on the vertical direction controlled by the y coordinate.

The left and right movements are on the horizontal direction controlled by the x coordinate.

When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.

hence we say

f(x) = 9x – 8

g(x) = f(x + 1)

= 9(x+1) – 8

= 9x + 9 - 8

= 9x + 1

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1.904 mcg/kg/min is what the client receives.

The number of mcg/kg/minute = flow rate × concentration ÷ mass of client

Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min

Formula:

Concentration = mass of dopamine/volume

mass of dopamine = 800mg

volume = 500ml

Concentration = 800/ 500

= 1.6 mg/ml

= 1.6 × 1000 mcg/mg

= 1600 mcg/mg

Here the mass of the client = 70kg

Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client

= 0.08 ml/min × 1600mcg/ml ÷70 kg

= 320/70

= 1.904 mcg/kg/min

Therefore mcg/kg/min is 1.904.

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Answer:

c I got you ok answer c

Step-by-step explanation:

bc I got this correct

Answer:

Its D, x+y=-7;x-y=11. Also Part 2 is 2,-9

Step-by-step explanation:

Just did it Pearson 2022

Answer:

LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

correct answers = 42

incorrect answers =8

total mark=50

% of the correct =

[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%

Answer:

Step-by-step explanation:

first you need to find the nth term

that would be -4n+28

then you just need to substitute 20 into the position of n

-4*20 = -80

-80+28=-52

Answer:

3

Step-by-step explanation:

[tex]4x + 5y = - 5 \\ 8 + 4x + 5y = {?} \\ 8 + - 5 \\ = 3 \\ 8 + 4x + 5y = 3[/tex]

Lines do not end, so there can not be an end behavior.

What is straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the right sideline is y+8 =  [tex]\frac{4+8}{2-0}[/tex] (x-0)

y+8 = 6(x -0)

y =6x - 8

Now the endpoint of the line is given so it will not extend indefinitely.

Hence the Lines do not end so there can not be an end behavior.

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The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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Answer: sure:)

Step-by-step explanation:

The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Generally speaking, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 3/4

Now, we can determine the equivalent ratios as follows:

Equivalent ratio = 4/5 ≠ 3/4

Equivalent ratio = 6/8 = 3/4 (divide by 2)

Equivalent ratio = 5/6 ≠ 3/4

Equivalent ratio = 9/12 = 3/4 (divide by 3).

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the answer is 6:8 and 9:12

Step-by-step explanation: hope this helped ;D

⇒ [tex]=5-(x)-(-4)\\=5-x+4\\=-x+5+4\\=-x+9[/tex]

⇒Note the negative sign has to multiply every term in the brackets!

Option A is the answer

Answer:

i think it might be c

Step-by-step explanation:

If 700% of a number is 1540, then the number is 220

The given percentage = 700%

The percentage of a number is defined as the ratio that can be expressed as the fraction of 100.

Consider the number as x

Here the 700% of the number is 1540

Then the equation will become

x × 700% = 1540

Solve the equation and find the value of x

x × (700/100) = 1540

Divide the terms first

x × 7 = 1540

Move the 7 to the right hand side of the equation

x = 1540/7

Divide the terms

x = 220

Hence, if 700% of a number is 1540, then the number is 220

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The equation of the line is, y = -3x.

What is point slope form of the line?

A line's point slope form equation is y - y1 = m(x – x1). Consequently,

y - 0 = m(x - 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (1, -3) and having slope of -3.

Consider, the point slope form of the line,

[tex]y-y_1=m(x-x_1)[/tex]

Plug, [tex](x_1, y_1) = (1, -3), m = -3[/tex]

So, the above equation becomes

[tex]y-(-3)=-3(x-1)\\y+3=-3x+3\\y=-3x+3-3\\y=-3x[/tex]

Hence, the equation of line that passes through the point (1, -3) and having slope -3 is y = -3x.

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Answer: $68.99

Step-by-step explanation:

12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.

Answer:58

Step-by-step explanation:

The net worth of Delilah given the assets and liabilities will be $24197.

From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.

It should be noted that the formula to calculate the net worth will be:

= Assets - Liabilities

= $56,326 - $32,129

= $24197

The net worth is $24197.

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1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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