If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.

Round your answer to 2 decimal places.

Answer:

A. A syllogism

Step-by-step explanation:

The other 3 make no sense in this scenario, also I am in middle school make me brainlyest

Answer:

A syllogism.

Step-by-step explanation:

Note the 2 'middle' element b  are the same.

The sample space of the given condition of the dice thrown twice is given by {(4,4),(4,6),(4,10),(4,12),(4,15),(4,24),(6,4),(6,6),(6,10),(6,12),(6,15),(6,24),(10,4),(10,6),(10,10),(10,12),(10,15),(10,24),(12,4),(12,6),(12,10),(12,12),(12,15),(12,24),(15,4),(15,6),(15,10),(15,12),(15,15),(15,24),(24,4),(24,6),(24,10),(24,12),(24,15),(24,24)}. Sample space is the listing of all the possible outcomes of any event.

Now, each of these elements will have the probability of 1/36

Now, we find probability that HCF = 5.

Elements having HCF = 5 are (10,15) and (15,10).

Probability of HCF is 5 = P(10,15) + P(15,10)

= 1/36 + 1/36

= 2/36

= 1/18

Now, probability of HCF greater than 3.

Elements having HCF greater than 3 are (4,4),(4,12),(4,24),(6,6),(6,12),(6,24),(10,10),(10,15),(12,4),(12,6),(12,12),(12,24),(15,10),(15,15),(24,4),(24,6),(24,12) and (24,24).

There are 18 elements.

Probability of HCF greater than 3 = 18/36

= 1/2

Now, probability HCF not equal to 12

Elements having HCF = 12 are (12,12),(12,24) and (24,12).

Probability of HCF is 12 = 3/36

= 1/12

Probability of HCF not 12 = 1 - 1/12 = 11/12

Probability of HCF not equal to 24

Elements having HCF = 24 are (24,24)

Probability of HCF is 24 = 1/36

Probability of HCF not 24 = 1 - 1/36 = 35/36

Now, probability of HCF is even number.

Elements having even HCF are (4,4),(4,6),(4,10),(4,12),(4,24),(6,4),(6,6),(6,10),(6,12),),(6,24),(10,4),(10,6),(10,10),(10,12),(10,24),(12,4),(12,6),(12,10),(12,12),(12,24),(24,4),(24,6),(24,10),(24,12) and (24,24).

There are 25 elements.

Probability of even HCF = 25/36

Now, probability of HCF is equal to only one of the two numbers thrown.

Elements with HCF equal to one of the numbers are (4,4),(4,12),(4,24),(6,6),(6,12),(6,24),(10,10),(12,4),(12,6),(12,12),(12,24),(15,15),(24,4),(24,6),(24,12) and (24,24).

There are 16 elements.

Probability of HCF as one of the thrown numbers = 16/36 = 4/9

Thus, we find probability of all the given conditions with the help of sample space.

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Complete Question:

An unbiased cubical dice has six faces numbered 4, 6,10,12,15, and 24. The die is thrown

twice and the Highest common factor of both results is recorded.

(a) Draw a possibility diagram (Sample space diagram) to show the possible outcomes

(b) Calculate the probability that:

(i) The HCF is 5

(ii) The HCF is greater than 3

(iii) The HCF is not 12

(iv) The HCF is not 24

(v) The HCF is even number

(vi) The HCF is equal to only one of the two numbers thrown.

The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

From the question, we have the following parameters that can be used in our computation:

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

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Answer: 99

Step-by-step explanation:

Supplementary angles add to 180 degrees, 180-81=99

a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:

21 and 10.5 respectively

Step-by-step explanation:

Remember circumference of a circle is given as;

C= 2×π×r; r is raduis

r = C / 2×π

=65.98/(2×3.142)= 10.50

D= 2× r = 2× 10.50= 21.0( D represent diameter)

Note π = 3.142 a known constant

Answer: D-18 years, Joan-41 years

Step-by-step explanation:

Given

The Sum of Debbie and Joan's age is 59

Take x and y as the age of Debbie and Joan

In 5 years, twice Debbie's age will be equal to Joan's age

\(\Rightarrow 2(x+5)=y+5\)

\(\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5\)

Also, \(x+y=59\)

solving these two equations we get

\(\Rightarrow x=18;y=41\)

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

el complemento de un ángulo

Step-by-step explanation:

En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.

Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.

Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.

Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

Step-by-step explanation:

oh, that was hard to read.

this is

6 ÷ 1/2

a division always finds out how often the right side fits into the left side.

and for this answer D fits best :

Greg wants to divide 6 pounds of grapes into 1/2 pounds bags.

remember, dividing by a fraction is the same as multiplying the upside-down fraction :

6 ÷ 1/2 = 6 × 2/1 = 12/1 = 12

yes, can divide the 6 pounds into 12 half-pound bags.

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Step-by-step explanation:

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

\(y = 2000(1.05)^{36\)

Step-by-step explanation:

Given

\(a = 2000\) -- Initial population

\(r = 5\%\) --- Rate (monthly)

Required

Determine the population in 3 years

The question shows an exponential distribution and the final population will be calculated using:

\(y = a(1 + r)^x\)

Where x is the number of months.

\(x = 3\ years\)

\(x = 3* 12\ months\)

\(x = 36\)

So, we have:

\(y = 2000(1 + 5\%)^{36\)

Convert % to decimal

\(y = 2000(1 + 0.05)^{36\)

\(y = 2000(1.05)^{36\)

(c) is correct

Answer:

Penn has 49 onions in his garden

Answer:

I guess that the area we care about is the yellow area, delimited by the functions.

f(x) = 8*(x)^(1/4)

and the line with the slope s= 8/1 = 8 (as the line goes through the points (0,0) and (1, 8)).

g(x) = 8*x

then we want tofind the area between x = 0 and x = 1, of f(x) - g(x)

then we have:

\(I = \int\limits^1_0 {f(x)} \, dx = \int\limits^1_0 {8*\sqrt[4]{x} )} \, dx = (8*(4/5)*\sqrt[4]{1^5} - 8*(4/5)*\sqrt[4]{0^5}) = 6.4\)

now, for the area under the g(x) we have:

\(I2 = \int\limits^1_0 {g(x)} \, dx = \int\limits^1_0 {8x} \, dx = (8/2)*1^2 - (8/2)*0^2 = 4.\)

then I - I2 = 6.4 - 4 = 2.4

The yellow area is 2.4

And then, if we rotate this about the line AB, the volume will be:

B = 2*pi*2.4 = 2*3.14*2.4 = 15.075

The figure will be something like a half spheroid, with a hole in the shape of a cone inside of it.

A≈175.93yd²

A=2πrh+2πr2=2·π·4·3+2·π·42≈175.92919yd²

Therfore the surface area of the cylinder with height 3 yd and radius 4 yd is 175.93

Answer:

C.  (-3 , -2)

Step-by-step explanation:I double checked on math.way

Hope this helps

To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

The solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

What is absolute function?

An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k  where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.

The Absolute Value term is |5t-1|

For the Negative case it will be -(5t-1)

For the Positive case it will be  (5t-1)

at first we will solve for negative case:

-(5t-1) > 21

    Multiplying by the minus sign we get,

     -5t+1 > 21

    Rearranging and Adding up we get,

     -5t > 20

    Dividing both sides by 5

     -t > 4

    Multiplying both sides by (-1) we get,

     t < -4

 Now we will solve for positive case:

(5t-1) > 21

    Rearranging and Adding  up we get,

     5t > 22

    Dividing both sides by 5 we get,

     t > (22/5)

Hence the solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

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Answer:

there's this site called ixl.com that I use to help me it works very good  I highly recommend it !

Step-by-step explanation:

\(\stackrel{\textit{geometric mean of 4 and 22}}{\cfrac{4}{x}=\cfrac{x}{22}}\implies 88=x^2\implies \sqrt{88}=x\implies 2\sqrt{22}=x\)

The geometric mean of 4 and 22 is 4√22.

The geometric mean is often used for a set of numbers whose values are meant to be multiplied together.

given by ⁿ√a1a2a3...an

so the geometric mean of 4 and 22 is √4*22 =4√22

Therefore, the geometric mean of 4 and 22 is √4×22 =4√22

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The equation for g (x) is,

⇒ g(x) = x² -3

Since, The function is,

⇒ f (x) = x²

when x = 0, f(x) = 0

hence it has vertex at (0,0)

Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),

Then, g(x) must be shifted along y axis.

So, We get;

g(x)= x²+c

when x = - 1, g(x)= 4

4 = (-1)² + c

4 = 1 + c

c = 3

Thus, The equation for g (x) is,

g(x) = x² -3

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Answer:

Amadi: 20 years old

Chima : 4 years old