16. What are the values of a and b?

Answer:

The available credit is [tex]\$ 2,749[/tex]

Step-by-step explanation:

we know that

The available credit is equal to the credit limit minus the purchases

so

[tex]4,000-(425.36+358.33+377.11+90.20)=\$ 2,749[/tex]

Answer:

20kph

Step-by-step explanation:

10 * 2 = 20

Diagonal of base is 8.94(approx)

If you need an explanation please contact me.

I apologize if this is not what you meant.

Answer:

any list of numbers, an arrangement of quantities whose positions are based upon the natural numbers.

Step-by-step explanation:

Answer with explanation:

A Series is:

⇒a summation of quantities whose positions are based upon the natural numbers

This can be explained in the following way

Consider , the arrangement of Quantities

a,   a a,   a a a,   a a a a,  a a a a a,  a a a a a a, a a a a a a a, a a a a a a a a,..........

1  ,    1+1=2  , 1+1+1=3 ,   1+1+1+1= 4     ,       1+1+1+1+1=5  ,      1+1+1+1+1+1=6  ,                1+1+1+1+1+1+1=7    ,    1+1+1+1+1+1+1+1=8

Here, Alphabet "a" are Quantity.

⇒1,2,3,.....are position of Quantity  represented by Natural Number.

In terms of Summation , it can be written as:

 1+2+3+4+5+6+7+8.............

[tex]=\sum_{k=1}^{n} k[/tex]

A 45-45-90 triangle is half a square. So, the hypotenuse is the diagonal of the square.

The diagonal of the square is [tex]d\sqrt{2}[/tex], where d is the side of the square.

In your case, we have

[tex]d\sqrt{2}=110\sqrt{2}\approx 155.56[/tex]

Answer:

88.39

Step-by-step explanation:

Answer:

Option Z

The graph in the attached figure

Step-by-step explanation:

Let

x----> the number of chickens sandwiches

y----> the number of hamburgers

we know that

[tex]x+y\leq 40[/tex] ----> inequality A

[tex]4x+2y\geq 100[/tex] ----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

For this case we have to:

Wednesday:

[tex]6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}[/tex]

Saturday:

He ran [tex]2 \frac {1} {4}[/tex] times more than on Wednesday, that is:

[tex]\frac {20} {3} + \frac {4 * 2 + 1} {4} =\\\frac {20} {3} + \frac {9} {4} =\\\frac {20 * 4 + 9 * 3} {12} =\\\frac {107} {12} =\\8 \frac {11} {12}[/tex]

Thus, on Saturday, he ran [tex]8 \frac {11} {12}[/tex]miles

Answer:

[tex]8 \frac {11} {12}[/tex]

Answer:

well since there are infinite numbers the probability is hard to solve. is there like a:

what is the probability of selecting a number that is a multiple of 15 in a hat that has paper with numbers from 1- 100

kind of thing?

Step-by-step explanation:

Answer:

  all integers where n ≥ 1

Step-by-step explanation:

n is a counting number, since it counts the terms of the sequence. It is in the set {1, 2, 3, ...}, any of the integers 1 or greater.

Answer:

0.382

0.4

option (a)

Step-by-step explanation:

Formula to calculate probability

a)

probability = number of times event occur  / total number of trials

Experimental probability of landing on white = 191/500 = 0.382

b)

probability = favourable outcome / total outcome

Theoretical probability of landing on white = 2/5 = 0.4

c)

As more trials are conducted, the experimental probability generally gets closer to the theoretical probability.

The student must calculate frequencies, relative frequencies, and probabilities based on the results from spinning a dial. The frequencies are the counts of outcomes, relative frequencies are these counts divided by total spins, and probabilities are based on the assumption of a fair spinner.

The question is about filling in a table with the results from spinning a dial 500 times. This tasks involves calculating frequencies, relative frequencies, and probabilities which are fundamental concepts in probability and statistics. Since we do not have the actual results, I will explain the process of completing the table:

If an outcome occurred 100 times in 500 spins, the frequency is 100. To calculate the relative frequency, divide 100 by 500, which equals 0.2. Round this to the nearest thousandth to get 0.200.

Remember to round all your final calculated values appropriately as per the instructions given in the question.

The desired equation relating the variables is;

Also, a large bag of dog food that contains 210 cups of food will last 140 days according to the equation.

According to the question;

The small dog gets fed 3/4 cups of dog food twice a day.

In essence; The dog is fed twice a day with 3/4 cups of dog food each time.

Therefore; The dog gets fed 2× (3/4) cups of dog food per day

a) The equation is therefore;

b) To determine the number of days a large bag of dog food will last if it contains 210 cups of food;

Read more:

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ANSWER

d. The amplitude is 2

period:

[tex]\frac{2\pi}{3} [/tex]

EXPLANATION

The given function is

[tex]f(t) = - 2 \cos(3t) [/tex]

This function is of the form,

f(t) = a cos(bt)

The amplitude of this function is |a|

where a=-2

[tex] | - 2| = 2[/tex]

The period of this function is given by,

[tex]T= \frac{2\pi}{b} [/tex]

But b=3,

[tex]T= \frac{2\pi}{3} [/tex]

Option D is correct.

Answer:

the answer is D.126

Step-by-step explanation:

Use the formula A=2(wl+hl+hw)

Answer:

D. This should be the correct answer as it shows similarity through AAA.

A. is not correct because one side is not enough to determine similarity.

B. is not correct because it angle Z & angle Y are not similar.

C is not correct because line ZY and YX are not similar.

A. a number and three is at most two

The inequality states that a number and three is less than or equal to two.

“Less than or equal to” means the same thing as “at most”.

So, the inequality states that a number and three is at most two.

ANSWER

A number and three is at most two.

EXPLANATION

The given inequality is

[tex]x + 3 \leqslant 2[/tex]

The emphasis is on the inequality sign.

The inequality sign is "≤"

"≤" means less or equal to.

"≤" also means at most

Therefore,

[tex]x + 3 \leqslant 2[/tex]

means the sum of a number and 3 is at most 2.

The correct choice is A

Answer:

because women are still commonly looked down upon, and men more superior. It is not fair due to the fact that women get paid less and men get hired for more jobs.

Step-by-step explanation:

Answer:

The volume of the ball is 256 cm³

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for V

The volume is equal to the ratio of the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Answer:

it's a geometric sequence. the explicit formula is: 8 times 1/2^n-1

Answer:

B. Geometric. [tex]f(n) =16\cdot \left(\frac{1}{2}\right)^{n}[/tex], [tex]\forall n \in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

The problems shows a geometric sequence, since the statement describes succesive halves that are consumed by Achilles. The formula is:

[tex]f(n) =\Sigma_{i=1}^{n} 16\cdot \left(\frac{1}{2}\right)^{i}[/tex], [tex]\forall n \in \mathbb{N}[/tex]

Answer:

y =8

Step-by-step explanation:

[tex]y^{2} = 16*4[/tex]

Answer: Last Option

[tex]Y =\frac{1}{2}cosx + 3[/tex]

Step-by-step explanation:

If the graph of the function [tex]y=kf(x) +d[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <k <1[/tex] then the graph is compressed vertically by a factor k.

If  [tex]|k| > 1[/tex] then the graph is stretched vertically by a factor k

If [tex]k <0[/tex]  then the graph is reflected on the x axis.

If [tex]d> 0[/tex] the graph moves vertically upwards d units.

If [tex]d <0[/tex] the graph moves vertically down  d units.

In this problem we have the function [tex]y = cos⁡x[/tex]

And we know that The graph of [tex]y = cos⁡x[/tex] is transformed with  a vertical compression by a factor of 1/2 and a translation 3 units up

therefore it is true that [tex]0 <k <1[/tex] and [tex]k=\frac{1}{2}[/tex] and  [tex]d =3> 0[/tex]

Therefore the  new equation is:

[tex]Y =\frac{1}{2}cosx + 3[/tex]

You need 3a^3 to equal a^3, so you would need at subtract 2a^3.

Since the problem is addition, add - 2a^3:

3a^3 + -2a^3 = 3a^3 - 2a^3 = a^3

Then you have -5b^3 and you need it to equal b^^3, so you would need to add 6b^3:

-5b^3 + 6b^3 = b^3

First box would be -2

Second box would be 6

Answer: last option.

Step-by-step explanation:

We know that the line is vertical and it passes through the point (3, -3).

Then, since it is vertical, the equation of this line will have the following form:

[tex]x = a[/tex]

Where "a" is the value of the x-coordinate (Because vertical lines passes through all points with the same x-coordinate)

Then, you can observe in the given point that the x-coordinate is 3. Therefore, the equation of the line is:

[tex]x=3[/tex]

ANSWER

[tex]x = 3[/tex]

EXPLANATION

The equation of a vertical line that passes through

[tex](x_1,y_1)[/tex]

is given by

[tex]x = x_1[/tex]

That is x equals the x-value of the point.

Since the vertical line passes through (3,-3).

Therefore the equation of a vertical line that passes through the point (3, –3).

[tex]x = 3[/tex]

200-1500 dollars I believe

Answer: Option C. Ellipse

Step-by-step explanation:

The general equation of an ellipse has the following form:

[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1[/tex]

Where the point (h, k) is the center of the ellipse

In this case we have the equation

[tex]\frac{(x-9)^2}{4} + \frac{(y+2)^2}{25} =1[/tex]

Note that its shape matches that of a ellipse with center (9, -2)

[tex]a=\sqrt{4} \\a=2\\\\\\b=\sqrt{25}\\b=5[/tex]

Therefore the answer is the obtion C

Answer:

C

Step-by-step explanation:

Answer:

Are there any options for an answer?

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

Angles in a triangle add up to 180 degrees

add 74 with 20 to get 94

subtract 94 from 180 to get the value of x

180-94=86

The value of x in the triangle whose two interior angle values are given as 74 degrees and 20 degrees is 86 degrees.

A triangle is a closed 2-dimensional polygon with three angles and three straight sides.

According to the Triangle Angle Sum Theorem, the sum of the three interior angles in a triangle is always 180°.

Hence,

angleA + angleB + angleC = 180°

Given the data in the question;

We substitute our given values into the expression above.

angleA + angleB + angleC = 180°

74° + 20° + x = 180°

94° + x = 180°

x = 180° - 94°

x = 86°

Hence, the value of x in the triangle whose two interior angle values are given as 74 degrees and 20 degrees is 86 degrees.

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Answer:

125 miles

Step-by-step explanation:

Write formulas for the amount of $ that would be due each of the two companies and set these equal to one another prior to solving for the number of days:

A:  $35 + ($0.45/mile)x  

B:  $60 + ($0.25/mile)x

Then $35 + ($0.45/mile)x = $60 + ($0.25/mile)x, or

($0.20/mile)x = $25

                                                                       $25

dividing both sides by $0.20 yields  x = ------------------- = 125 miles

                                                                    $0.20/mile

The charges made by the two companies would become equal after the 125th mile.  After that, Company B would become cheaper.

Ms. Call would need to drive at least 125 miles for the rental from Company B to be more cost-effective.

To find out when Company B becomes a better deal, we need to set up an equality and solve it for the number of miles. We can create the equation as follows:

Company A cost = Company B cost.

So, $35 + $0.45x = $60 + $0.25x.

Here x represents the number of miles driven. If we simplify this equation, we have:

$0.20x = $25.

Thus, solving for x: x = 25/0.20 = 125

So, Ms. Call would need to drive at least 125 miles in order for Company B to be a better deal.

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Answer:

the common ratio is 6

Step-by-step explanation:

because 4 times 6 is 24

24 times 6 is 144

144 times 6 is 864

Answer:

6.

Step-by-step explanation:

The common ratio is the value with which we multiply each term to get the next term.

Common ratio = 24/4 = 144/24 = 864 / 144

= 6 (answer).

ANSWER

Phase shift = right 30°, period = 60°

EXPLANATION

See attachment.

Answer:

a. Managing Income

Step-by-step explanation:

Justin and his wife should pay more attention to managing liquidity (option B). This means they need to better manage their income, savings, and expenses to be able to save more money. Their current spending seems to be higher than their income which is not sustainable in the long term.

Based on the information provided, option B, managing liquidity, is the area that Justin and his wife should focus on for their financial planning. Liquidity refers to the ability to cover immediate expenses or debts. Given they typically spend $3,000 per month and their combined income seems less than their outflow, it suggests that they might be having challenges saving money. Therefore, focusing on managing liquidity could help them better track their cash flow and enhance their savings plan.

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