Question 3 of 25
Find f(-3) for f(x) = 4(2)^x
Please answer this as fast as you can need it for today

The diagonal walkway will have a length of 120.9 yards.

We know that for a rectangle of length L and width W, the length of the diagonal is given by the formula:

D = √(W² + L²)

Here we know that the dimensions of the rectangle are:

L = 105 yards

W = 60 yards

Then the length of the diagonal will be:

D = √((105 yd)² + (60 yd)²)

D = 120.9 yards

that is the length of the diagonal.

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Answer:105 miles

Step-by-step explanation

63/30= m/50

multiply 63x50

multiply 30x m

now you have

30m = 3150

so you divide

30m/30 and 3150/30

m=105

Answer:105 miles

Step-by-step explanation:

Answer:

(-3,-3)

the X coordinate is -3 and the Y coordinate is -3.

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

\( = 3.5 \times 3 \\ = 10.5 {mm}^{2} \)

Area of Quarter- Circle = 1/4 x Area of Circle

\( = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} \)

Area of Rectangle at the right = Length x Width

\( = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} \)

Total Area = Area of 2 Rectangles + Area of Quarter Circle

\( = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} \)

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

A nurse would encourage the following foods for a client with a red blood cell count of 3.2 million cells/cm3:

Iron is essential for the production of hemoglobin, which is responsible for carrying oxygen in the blood. Vitamin C aids in the absorption of iron from plant-based sources.

A diet high in these nutrients can help maintain or improve red blood cell count. In addition to iron and vitamin C, a balanced diet that includes plenty of fruits and vegetables, lean protein, and whole grains is recommended for overall health.

The nurse may also encourage hydration and physical activity as both are important factors in maintaining healthy blood cells.

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Answer:

420

Step-by-step explanation:

multiply them by each other

Answer:

420 square inches

Step-by-step explanation:

(5x12)x7=?

12x5=60

60x7=420

(5x12)x7=420

Hope this helped!

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)

3) Simplify. Denominators are now the same.

\(-\frac{465}{992} +\frac{224}{992}\)

4) Join the denominators.

\(\frac{-465+224}{992}\)

5) Simplify

\(-\frac{241}{992}\)

Decimal Form: -0.242944

The sum is \(\rm - 4g^4-3g^3+4g^2+5g+3\).

Given

Equation; \(\rm (g^2 - 4g^4 + 5g + 9) + (-3g^3 + 3g^2 - 6)\).

An addition sentence is a mathematical expression that shows two or more values added together and their sum.

To add the equation following all the steps given below.

Rewrite terms that are subtracted as the addition of the opposite.

\(\rm (g^2 - 4g^4 + 5g + 9) + (-3g^3 + 3g^2 - 6)\\\\\rm g^2 - 4g^4 + 5g + 9-3g^3 + 3g^2 - 6\\\\\)

Group-like terms.

\(\rm g^2 - 4g^4 + 5g + 9-3g^3 + 3g^2 - 6\\\\ - 4g^4-3g^3+g^2 + 3g^2+5g+ 9-6\)

Combine like terms.

\(\rm - 4g^4-3g^3+g^2 + 3g^2+5g+ 9-6\\\\- 4g^4-3g^3+4g^2+5g+3\)

Hence, the sum is \(\rm - 4g^4-3g^3+4g^2+5g+3\).

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Answer:

10

Step-by-step explanation:

I hope my answer help you.

Answer:

B.10

Step-by-step explanation:

follow niyo po ako pls

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

The answer to your problem is, 156

First lets find out how many feet or in one yard ?

Well 1 yard = 3 feet.

Now that we know that we can use our knowledge to answer the next question:

If Bill ran 52 yards, how many feet did he ran?

We can do math to solve our answer. :

1 x 52 = 52.

Now we need to multiply 52 x 3.

That is a little bit to much, so lets make the problem easier!

By breaking up the problem \/ to make it more easier.

50 x 3. ( 5 x 3 = 15, just add a zero! ) = 150

3 x 2 = 6.

Next add:

150 + 6 = 156.

Thus the answer to your problem is, 156

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!

Answer:

yes because its not how much you walk if it is the same distance to the park, then yes. You walked the same distance to the park, however the dog ran more around, you were possibly following the dog so... yea.

Answer:

Yes

Step-by-step explanation:

4(1)-3(3)=-5

4-9=-5

-5=-5

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

Answer:

4 and 2 berries left over.

Step-by-step explanation:

14 divided by 3 = 4

4x3=12

14-12=2

Answer:

$59.34

Step-by-step explanation:

29% of 46 is 13.34.

Because we are calculating tax, we need to add 13.34 to 46. This gives us a total price of $59.34

Correct Answer are (a) The weight of the smaller sphere is 1.125 pounds.(b) The volume of the pyramid is 7.347 x 10^6 cubic feet.(c) The length of the edges of the cube is 503.98 feet.

(a) A large flawless crystal ball weighs 81 pounds and is 54 inches in diameter. What is the weight of a crystal ball 18 inches in diameter? (Note that the balls are completely made out of crystal.)

The relationship between the weight of a sphere and its diameter is the cube of the ratio of the diameters, since mass is proportional to volume and volume is proportional to the cube of the diameter. Thus, the weight of the crystal ball with a diameter of 18 inches is (18/54)³ x 81 pounds = (1/8)³ x 81 pounds = 1.125 pounds. Therefore, the weight of the smaller sphere is 1.125 pounds.

(b) A very large pyramid is 151f tall and covers an area of 34 acres. Recall that an acre is 43,560f². What is the volume of the pyramid?

The area of the base of the pyramid is 34 x 43,560 square feet = 1,481,040 square feet. If we let B denote the area of the base, we have that the volume of the pyramid is (1/3)Bh, where h is the height of the pyramid. Substituting the given values, we have (1/3)(1,481,040 square feet)(151 feet) = 7.347 x 10^6 cubic feet. Therefore, the volume of the pyramid is 7.347 x 10^6 cubic feet.

(c) An airplane factory has as its headquarters a very large building. The building encloses 125 million cubic feet and covers 55 acres. What is the size of a cube of equal volume?

Since volume of the building is 125 million cubic feet, and since the volume of a cube is s³, where s is the length of one of its edges, the length of one of the edges of a cube of equal volume to that of the building is the cube root of 125 million, or (1.25 x 10^8)^(1/3) cubic feet. Therefore, the length of one of the edges of the cube is 503.98 feet, approximately. Therefore, the length of the edges of the cube is 503.98 feet.

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Answer:

D

Step-by-step explanation:

12/6 is 2 and the the exponents when you are dividing you just subtract. so 9-3 = 6 which makes it x^6.

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

The vertical component of the final velocity (vfy) of the motorcycle is approximately 11.82 m/s. The magnitude of the final velocity (vf total) of the motorcycle is approximately 31 m/s.

A. To find the vertical component of the final velocity (vfy) of the motorcycle, we need to use the principles of projectile motion. Since the motorcycle is launched from the ramp, we can treat it as a projectile in free fall after leaving the ramp. The vertical component of the final velocity can be calculated using the equation:

vfy = v0y + gt,

where v0y is the vertical component of the initial velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time of flight.

To calculate v0y, we can use the fact that the initial velocity (v0) of the motorcycle is 31 m/s, and the angle of the ramp (θ) is 16.5 degrees. The vertical component of the initial velocity is given by:

v0y = v0 * sin(θ).

Substituting the values, we have:

v0y = 31 m/s * sin(16.5 degrees) ≈ 8.36 m/s.

The time of flight can be calculated using the equation:

t = 2 * v0y / g.

Substituting the values, we have:

t = 2 * 8.36 m/s / 9.8 m/s^2 ≈ 1.70 s.

Finally, we can calculate vfy:

vfy = v0y + gt = 8.36 m/s + (9.8 m/s^2) * 1.70 s ≈ 11.82 m/s.

Therefore, the vertical component of the final velocity (vfy) of the motorcycle is approximately 11.82 m/s.

B. The magnitude of the final velocity (vf total) can be calculated using the Pythagorean theorem. Since the horizontal component of the velocity remains constant throughout the motion, vf total is equal to the initial velocity (v0) of the motorcycle, which is 31 m/s.

Therefore, the magnitude of the final velocity (vf total) of the motorcycle is approximately 31 m/s.

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Answer:

area = l * w

= (3x + 1) * (2x + 3)

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴

\( \frac{k}{5} - 1 = - 4\)

\( \frac{k}{5} = - 4 + 1\)

\( \frac{k}{5} = - 3\)

\(k = - 3(5)\)

\(k = - 15\)

Answer:

Each side is 12 feet.

To determine the image of point C after rotating it 144 degrees counterclockwise about point X, the original vertex would be the image of point C.

When a point is rotated counterclockwise about another point, the image is formed by tracing the path of the original point as it rotates. In this case, point C is rotated 144 degrees counterclockwise about point X. To find the image of point C, we trace its path as it rotates and identify the final position.

However, without specific information about the coordinates of point C and point X, it is not possible to determine the exact image or the original vertex. Additional information or coordinates are needed to determine the image accurately.

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