An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

[tex]y=ab^x[/tex]

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only [tex]y=10(0.13)^x[/tex] represents exponential decay.

Therefore, the correct option is C.

Answer:

22

Step-by-step explanation:

Answer:

22/1

Step-by-step explanation:

Answer:

160in^2

Step-by-step explanation:

Pls choose mine as brainliest.

Answer:

122620.6908

Step-by-step explanation:

Just follow PEMDAS and it's not hard at all.

Answer:

Step-by-step explanation:

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

Answer:

30:1

Step-by-step explanation:

90:3

90÷3=30

3÷3=1

=30:1

Answer:

- 1

Step-by-step explanation:

Step 1:

3x + 15 = - 6x + 6

Step 2:

9x + 15 = 6

Step 3:

9x = - 9

Answer:

x = - 1

Hope This Helps :)

Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Answer:

no of student take speech at college = 1/3*7533=2511

Step-by-step explanation:

Answer:

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

        12 cm     =   4 cm                  

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  12 cm (5 km)

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Answer:

266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)

Step-by-step explanation:

1,065 ÷ 4 = 266 and remainder = 1 =>

1,065 = 266 × 4 + 1 =

1,065/4 =

(266 × 4 + 1) / 4 =

266 + 1/4 =

266 1/4

The required division is given as 4260 / 10 = 426.

Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here.
10 * 426 = 4260
4260  / 10 = 426
Dividend / divisor = quotient,

Thus, the required division is given as 4260 / 10 = 426.

Learn more about arithmetic here:

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Answer:

-136.74

Step-by-step explanation:

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

Answer:

6

Step-by-step explanation:

I hope this helps!

Answer:

x = 21°

Step-by-step explanation:

opposite angles are equal

therefore, (3x + 1)° = 64°

open the brackets

3x + 1 = 64

3x = 64 - 1

3x = 63

divide both sides by 3

x = 21°

Answer:

37

Step-by-step explanation:

180-(81+62)=37

Answer:

x = 37°

Step-by-step explanation:

The sum of all internal angles in a triangle will always equal 180.

Thus, we know that 81 + 62 + x must equal 180.

81 + 62 + x = 180

143 + x = 180

Subtract 143 from both sides:

x = 180 - 143

x = 37

Answer: x = 37°

Answer:

A-3:1

Step-by-step explanation:

Simplify 6:2 by dividing by 2

Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4

Answer:

22*3=66

Flase

Step-by-step explanation:

The equation ((22)3) = 25 is false.

Two or more expressions with an Equal sign is called as Equation.

The given equation is  ((22)3) = 25.

We have to check whether the left hand side is equal to right hand side.

If the LHS and RHS are equal then the equation is true.

If not then it is false.

The value in LHS is 22×3 = 66

The value in RHS is 25

66 is not equal to 25

Hence, the equation ((22)3) = 25 is a false statement.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

23

Step-by-step explanation:

∠ABE=∠BEF=4x (AC║EF)

∠DBE=5x

∠DBF=180=∠DBE+EBF=5x+65

5x=180-65

x=23

Answer:

y=5x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Answer:727.2

Step-by-step explanation:40.4x18=727.2

Answer:

9 DAYS

Step-by-step explanation:

he has + 2 days first then you do 315/45 =5 + 2 = 7

Answer:

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Perimeter =

[tex]4\times s[/tex]

Where s = side

Solve for s using the area

[tex]A =49\\\\49 = s^2\\\\Square\:root \:both\:sides\:of\:the\:equation\\\\\sqrt{49} = \sqrt{s^2} \\\\7 =s\\\\s =7[/tex]

Find the perimeter

[tex]4\times s\\\\= 4 \times 7\\\\= 28[/tex]