Write the exponential function whose graph passes through the given points.

The ordering of the questions here is kind of confusing, so I'll just extract what seems to be relevant. They seem like True/False questions, but that's not clear to me.

There are no common elements between the sets A and C, so

A ∩ C = { } (the empty set)

Both sets A and B share the elements c and f, so

A ∩ B = {c, f }

and since we know A ∩ C is empty, we end up with

(A ∩ B) ∪ (A ∩ C) = {c, f } ∪ { } = {c, f }

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

A.

Step-by-step explanation:

If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.

-3 - 15 = -18

Correct me if I end up being wrong.

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

Coffee= $4

Tea= 3.50

6x4=$24

so with this in mind you must take 24 and divide it by the price of tea

24/3.50 is 6.8 so they max cups of tea he can buy is 6.

Hope this helps. :)

Step-by-step explanation:

The maximum number of cups he can buy will be 7.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a cup of coffee costs $4 and a cup of tea costs $3.50. If ray has $40 and has bought 6 cups of coffee.

6x4=$24

Divide 24 by 3.50 to get the number of cups.

24/3.50= 6.8

Therefore, the maximum number of cups he can buy will be 7.

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Answer:

This depends on how many cars or trucks there are, but there could be 8 trucks when there is 10 cars, or 20 trucks when there is 25 cars.

Answer:

3.5 is the answer to that question

Answer:

c

Step-by-step explanation:

c)11 miles

the day and the miles on that day add together to make the miles for the next day so 4+7=11

Answer:

g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6.

Step-by-step explanation:

The given measures made up a scalene triangle. Therefore, option C is the correct answer.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, a triangle has one side that measures 4 ft, one side that measures 6 ft and one side that measures 9 ft.

A. All the sides are not equal, then it is not an equilateral triangle.

B. Any two sides are not equal, then it is not an isosceles triangle.

C. All the sides are equal, then it is a scalene triangle.

D. By using Pythagoras theorem,

9²=6²+4²

81≠52

So, the given measure does made up right triangle.

Therefore, option C is the correct answer.

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Write 97 as 90 + 7

then, 5 x 97 ---> 5 (90 + 7 )

5 (90 + 7 ) = ( 5 x 90 ) + ( 5 × 7 )

450 + 35 = 485.

Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

\(P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\\)
This is 25% (for each one, equally)

b) The experimental probability is given by:

\(P(A)= \frac{32}{150} =0.2133\)

\(P(B)= \frac{38}{150} =0.2533\)

\(P(C)= \frac{35}{150} =0.2333\)
\(P(D)= \frac{45}{150} =0.3000\)

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

From the figure the measure of angle GEF is 122

Information from the problem says that

angle GEF is thirteen less than 5 times angle DEG and angle DEF is 149 degrees

angle GEF = 5 * angle DEG - 13

From the figure

angle GEF + angle DEG = angle DEF (adjacent angles)

substitute for angle GEF

5 * angle DEG - 13 + angle DEG = angle DEF

6 * angle DEG - 13 = 149

6 * angle DEG = 149 + 13

6 * angle DEG = 162

angle DEG = 27

angle GEF = 5 * angle DEG - 13

angle GEF = 5 * 27 - 13

angle GEF = 135 - 13

angle GEF = 122

hence angle GEF = 122

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Answer:

the answer is going to be A. -6x - 14 x+ 6

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

An equation is an expression that shows the relationship  between two or more numbers and variables.

Let C represent the number of chocolate fudge bars, F represent the number of frozen fruit bars and I represent the number of ice-cream sandwiches

Hence:

0.75C + 0.85I + 0.5F ≤ 450

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

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Answer:

  D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912

Step-by-step explanation:

The value of a digit in a number can be found by setting the other digits to zero.

The value of 2 in 12.5 is 2.

The value of 2 in 0.912 is 0.002.

The ratio of values is 2.000/0.002 = 2000/2 = 1000.

The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.

Answer:

D

Step-by-step explanation:

The answer is D

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

0.69

Step-by-step explanation:

Let θ be the angle.

The following data were obtained from the question:

Opposite = 4.84 m

Hypothenus = 7.01 m

Sine θ =?

The sine of the angle θ can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine θ = 4.84/7.01

Sine θ = 0.69

Therefore, the sine of the angle is 0.69

We can solve this using the next property:

If a

Replace f (x) = - 2x- 5 ​, then:

-21 < f (x) < 0

-21 < -2x-5 < 0

Solve -21 < -2x-5 and -2x-5 < 0

Therefore:

-21 < -2x-5

Add both sides 5

-21+5 < -2x-5 +5

-16 < -2x

(-1)-16 < (-1)(-2x)

16>2x

x<16/2

x<8

and

-2x-5 < 0

Add both sides 5

-2x-5 +5 < 0+5

-2x<5

(-1)-2x < (-1)5

2x > -5

x > -5/2

Hence, the resulting interval is:

-5/2 < x < 8

The absolute change is given by the subtraction of the values (final value minus initial value):

Therefore the absolute change is -23 units.

Then, to find the relative change, we need to divide the absolute change by the initial value:

Therefore the relative change is -3.28%.

Answer:

I think the answer is 1.

If it is wrong sorry

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Consider that the realtion in between the bird bath and its shadow is proportional, then, you have:

5.3/22.3 = 6.3/x

where x is the length of the shadow. Solve for x the previous equation:

x = (6.3/5.3)(22.3)

x = 26.50

Hence, the length of the shadow is 26.50 ft

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216