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Answer:

54.5 amps to the nearest tenth.

Step-by-step explanation:

V = IR  where V = volts, I = current and R = resistance.

12 = I * 0.22

I = 12/0.22

I = 54.5 Amps.

When the key is turned and the engine starts, the battery will supply approximately 54.55 amps to the engine.

The question regarding how many amps will be drawn from the 12-volt battery when a car engine with a resistance of 0.22 ohms is started can be solved using Ohm's Law. Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The formula is given by I = V / R.

Therefore, the current drawn from the battery can be calculated as follows:

So, when the key is turned and the engine starts, the battery will supply approximately 54.55 amps to the engine.

Answer:

30 times

Step-by-step explanation:

subtract 250 from 400, then divide the number (150) by 5 to get your answer 30.

Answer: 64 daisies

Step-by-step explanation:

8 x 4 = 32                                                                                                                            8 x 8 = 64 daisies

let's recall that in an isosceles triangle, the twin sides make twin angles at the bottom/base, so on the triangle on the left-side, if the "vertex" atop has an angle of 116°, then the twin sides below are simply 180° - 116 = 64, split that in half and that's 32° each.

The same is true for the isosceles triangle on the right side.  Also recall that a flat-line is always 180°, 32 + 72 + 76 = 180.

Check the picture below.

The area of a circle with a diameter of 15 inches is 176.63 square inches and the circumference is 47.1 inches, using the formulas A = (pi)r² and C = (pi)d with (pi) approximated as 3.14.

The area and circumference of a circle can be calculated using the formulas A = (pi) r² for the area, and C = (pi) d for the circumference, where r is the radius, d is the diameter, and (pi) is approximately 3.14.

Given the diameter d = 15 inches, we first find the radius by dividing the diameter by 2, which gives us r = 7.5 inches. We then use the area formula to calculate:

Area = (pi) r² = 3.14 ×(7.5 inches)²

Area = 3.14 ×56.25 square inches

Area = 176.625 square inches

After rounding to the nearest hundredth, we get:

Area = 176.63 square inches

For the circumference, we use the formula:

Circumference = (pi) d = 3.14 ×15 inches

Circumference = 47.1 inches

Answer:

[tex]\$10,665.64[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$19,900\\r=7.5\%=0.075\\x=8\ years[/tex]

substitute the values in the formula

[tex]V=\$19,900(1-0.075)^{8}=\$10,665.64[/tex]  

Answer: The answer is 10665.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

A= starting value = 19900

r=rate = 7.5%=0.075

Exponential Decay:

b=1-r=1-0.075=0.925  

Write Exponential Function:

y=19900(0.925)^x

Plug in time for x:

y=19900(0.925)^8

y= 10665.6404317  

Evaluate

y≈10665.64

Final answer:

To calculate h(-3) for the function h(x) = x² - 2x - 5, we plug in -3 for x and simplify to get a result of 10.

Explanation:

To find h(-3) when given h(x) = x² - 2x - 5, we need to substitute x with -3 into the function and simplify:

h(-3) = (-3)² - 2(-3) - 5

= 9 + 6 - 5

= 15 - 5

= 10.

Therefore, h(-3) equals 10.

Answer: try question cove but brainly is good so keep using it

]

Answer:

  c.  5, 8, 17, 44

Step-by-step explanation:

Put the given number into the formula and do the arithmetic:

  3·4 -7 = 5 . . . . . matches answer choice C only

___

You know the correct answer at this point. You can check the other numbers if you wish:

  3·5 -7 = 8

  3·8 -7 = 17

  3·17 -7 = 44

Answer:

A

Step-by-step explanation:

We can use a simple formula to solve for SST. The formula is:

[tex]SST=\frac{SSE}{1-R^2}[/tex]

Where

the coefficient of determination is  [tex]R^2[/tex]

Now, we are given  [tex]R^2[/tex]  is 0.25 and SSE is 12 (not SEA, it's SSE). we simply put it into the formula and solve for SST:

[tex]\\SST=\frac{12}{1-0.25}\\SST =16[/tex]

correct answer choice is A

Answer:

$14.00

Step-by-step explanation:

30% less than 100% of the regular price is 70% of the regular price.

Erica paid ...

0.70 · $20.00 = $14.00

Answer:

41.8%

Step-by-step explanation:

From the table, the total number of female patients is given as 335. On the other hand, the total number of female patients with type-O blood is given as 140. The probability that a randomly selected female patient will have type-O blood can be calculated as;

the total number of female patients with type-O blood/the total number of female patients

140/335 = 0.4179

As a percentage this becomes;

0.4179 * 100 = 41.8%

Therefore, the percentage of female patients with type-O blood is 41.8%

Answer:

It is a right triangle.

Step-by-step explanation:

By the  Inverse Pythagoras Theorem if 39^2 = 36^2 + 15^2  then it is a right triangle.

39^2 = 1521

36^2 + 15^2 = 1296 + 225 = 1521.

So it is a right triangle.

Based on the converse of the Pythagorean Theorem, the triangle with the following side lengths is a right triangle.

What is the Converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that a triangle is a right triangle if the sum of the squares of two of its legs are equal to the square of the length of the longest side (hypotenuse).

The longest side in the triangle is 39 in. Therefore:

39² = 36² + 15²

1,521 = 1,521

Based on this, we can conclude that the triangle given is a right triangle.

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14.(22) = 14.(20 + 2)

We still have 14 multiplying 22 but now it will multiply it by 20 and sum it after multiply by 2

So we have the distributive proppertie.

Answer:

distributive property.

Step-by-step explanation:

If you rewrite the problem 14(22) as 14(20+2) so that you can use mental math

22 is written as 20+2

so we got 14(20+2)

to multiply this we distribute 14 inside the parenthesis

we multiply 14 with 20 and then multiply 14 with 2

we are distributing 14 inside the parenthesis so its distributive property.

Answer:

2:15

Step-by-step explanation: First you - 15 by 3:15 which = 3:00 then - 45 by 3:00 or 60 - 45 = 15. so therefore 2:15 is the answer. Have a good day, hope I helped

Final answer:

The number of different subcommittees possible from a board of 10 members when forming a subcommittee of 3 members is 120, calculated using the combination formula C(10, 3).

Explanation:

To calculate the number of different subcommittees possible from a board of directors consisting of 10 members when forming a subcommittee of 3 members, we must use the concept of combinations because the order of selection does not matter. This is a problem of counting without regard to the order and is solved by using the combination formula:

C(n, k) = n! / (k! * (n-k)!) where 'n' is the total number of items to choose from, 'k' is the number of items to choose, 'n!' represents the factorial of n, and 'k!' is the factorial of k.

Here, 'n' is 10 (the total number of board members) and 'k' is 3 (the number of members to be chosen for the subcommittee). Thus, the formula for our calculation is:

C(10, 3) = 10! / (3! * (10-3)!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

Therefore, there are 120 different subcommittees possible when selecting 3 members from a board of 10.

Final answer:

To find the number of different subcommittees possible from 10 members when selecting 3, the combination formula C(n, k) = n! / (k! * (n - k)!)is used, which results in 120 different subcommittees.

Explanation:

The student's question pertains to combinatorics, which is a field of mathematics concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. Specifically, the student is asking about the number of ways to form a subcommittee of 3 members from a larger committee of 10 members. To solve this, one would use the combination formula, which is used for selecting items from a group without regard to the order in which they are selected.

The combination formula is given by:

C(n, k) = n! / (k! * (n - k)!)

Where:

n is the total number of items to choose from (in this case, 10 board members),

k is the number of items to choose (in this case, a subcommittee of 3 members),

n! (n factorial) is the product of all positive integers up to n,

k! (k factorial) is the product of all positive integers up to k,

(n - k)! is the factorial of the difference between n and k.

Applying the formula to the student's scenario:

C(10, 3) = 10! / (3! * (10 - 3)!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

So, there are 120 different subcommittees possible when choosing 3 members from a board of 10 members.

let's notice something on this hyperbola, the fraction that is positive, is the fraction with the "y" variable, that simply means that the hyperbola is opening vertically, namely runs over the y-axis or it has a vertical traverse axis, which means, that, the foci will be a certain "c" distance from the center over the y-axis, well, with that mouthful, let's proceed.

[tex]\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{(y-3)^2}{1}-\cfrac{(x+2)^2}{4}=1\implies \cfrac{[y-3]^2}{1^2}-\cfrac{[x-(-2)]^2}{2^2}=1~~ \begin{cases} h=-2\\ k=3\\ a=1\\ b=2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ c=\sqrt{a^2+b^2}\implies c=\sqrt{1+4}\implies c=\sqrt{5} \\\\\\ \stackrel{\textit{so then the foci are at}}{(-2~~,~~3\pm \sqrt{5})}\qquad \qquad \qquad \stackrel{\textit{and its vertices are at }}{(-2~~,~~3\pm 1)}\implies \begin{cases} (-2,4)\\ (-2,2) \end{cases}[/tex]

now let's check for the asymptotes.

[tex]\bf y=3\pm \cfrac{1}{2}[x-(-2)]\implies y=3\pm \cfrac{1}{2}(x+2) \\\\[-0.35em] ~\dotfill\\\\ y=3+ \cfrac{1}{2}(x+2)\implies y=3+\cfrac{x+2}{2}\implies y=\cfrac{6+x+2}{2} \\\\\\ y=\cfrac{x+8}{2}\implies y=\cfrac{1}{2}x+4 \\\\[-0.35em] ~\dotfill\\\\ y=3- \cfrac{1}{2}(x+2)\implies y=3-\cfrac{(x+2)}{2}\implies y=\cfrac{6-(x+2)}{2} \\\\\\ y=\cfrac{6-x-2}{2}\implies y=\cfrac{-x+4}{2}\implies y=-\cfrac{1}{2}x+2[/tex]

Answer:

The volume is equal to [tex]112\frac{1}{2}\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

[tex]V=LWH[/tex]

we have

[tex]L=4\frac{1}{2}\ cm=\frac{4*2+1}{2}=\frac{9}{2}\ cm[/tex]

[tex]W=5\ cm[/tex]

[tex]H=5\ cm[/tex]

substitute the values

[tex]V=(\frac{9}{2})(5)(5)[/tex]

[tex]V=112.5\ cm^{3}[/tex]

Convert to mixed number

[tex]112.5\ cm^{3}=112\frac{1}{2}\ cm^{3}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

15/8.

Step-by-step explanation:

Tan A = opposite / adjacent side

= 15/8.

The value of tan A is 15/8.

Given: Right angled triangle

AB = 8

AC = 17

BC = 15

We have to find tan A.

We know,

tan A = Opposite side / Adjacent side

In the given right angle triangle:

Opposite side = BC

Adjacent side = AB

⇒ tan A = BC/AB

⇒ tan A = 15/8

Therefore, the value of tan A is 15/8.

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For this case we will indicate expressions equivalent to 6 ^ {16}:

We can write the following:

[tex]6 ^ {16} = 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6\\6 ^ {16} = (6 ^ 8) ^ 2\\6 ^ {16} = 6 ^ {\frac {32} {2}}[/tex]

Answer:

The equivalent expressions are shown in the previous part.

Answer:

Step-by-step explanation:

ANSWER

[tex]W(\frac{9}{7},\frac{51}{7} )[/tex]

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

[tex]x= \frac{mx_2+nx_1}{m + n} [/tex]

[tex]x= \frac{3(9)+4( - 3)}{4 + 3} [/tex]

[tex]x= \frac{21 - 12}{4 + 3} [/tex]

[tex]x= \frac{9}{7} [/tex]

The y-coordinates is given by;

[tex]y= \frac{my_2+ny_1}{m + n} [/tex]

[tex]y= \frac{3(13)+4( 3)}{4 + 3}[/tex]

[tex]y= \frac{39+12}{4 + 3}[/tex]

[tex]y= \frac{51}{7}[/tex]

Hence

[tex]W(\frac{9}{7},\frac{51}{7} )[/tex]

Answer:

The answer is B

Step-by-step explanation:

the answer is the second one

Answer:

The answer is b!!

Answer:

B

Step-by-step explanation:

Answer:

1 9

2 11

3 13

4 15.

Step-by-step explanation:

When x = 1 y = 2(1) + 7 = 9.

x = 2, y = 2(2)+7 = 11

x = 3, y = 2(3) + 7 = 13

x = 4, y = 2(4) + 7 = 15.

Answer:

B, E, F

Step-by-step explanation:

Equivalent expressions are expressions which are equal. To show expressions are equal, reduce to lowest terms by simplifying using exponent rules.

A. 8^2*8^x  = 8^2+x

B. (8*8)^x  = 64^x

C. 8*8^2x  = 8^(2x +1)

D. 8*8^x  = 8 ^ (x+1)

E. 8^2x  = 64^x

F. 8^x*8^x = 8^(x+x) = 8^(2x) = 64^x

Answer:

8^2x 8^x (8•8)^x

Step-by-step explanation:

Answer:

43.96 ft, or about 44 ft

Step-by-step explanation:

C = 2πr.  Here, π is approx. 3.14 and r is 7 ft.  Thus, the circumference of the yard is

C = 2(3.14)(7 ft) = 43.96 ft

Answer:

it is A

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

At the northside store there are 12 females with college degrees

At the southside store there are 18 females with college degrees

The total number of females at the two stores with college degrees is

12+18 = 30

Answer:

"a period change"

Step-by-step explanation:

Simple ways of understanding transformations are:

Phase shift: 2 graphs would be shifted version of each other, all other things constant.

Period change: the 2 graphs would have different cycles, one would be compressed/stretched version of the other, all other things constant

Amplitude Change: The height/crest of the graphs would vary, that is the amplitude. All other things constant.

Addition of Negative constant: this would shift the 1 graph downwards with respect to the other graph, it is a vertical shift. All other things constant.

Now carefully looking at the 2 graphs given, we can see that the cycles are different. One is a more "relaxed", or "stretched" version of the other. This means, the period is changed.

2nd answer choice is right.

The compounding tuition fee function's complete expression is,b(x)=33741(1.028)ˣ.

If n is the number of times the interest is compounded each year and r is the yearly rate of compound interest, the final amount after 't' years is:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

The function b(x) is expressed as follows:

[tex]\rm b(x) = 33741(1+\frac{0.028}{1} )^x\\\\[/tex]

Where ;

Rate(r)=2.8 percent

Total after x years(b)

Initial amount ( P)= 33741

x represents the number of years since 2015.

Hence, the compounding tuition fee function's complete expression is,b(x)=33741(1.028)ˣ.

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