The zoo currently has 132 pounds of frozen mixed fruit on hand to feed the animals for the next 7 days. If the exotic birds need to be fed 25 pounds of mixed fruit each day, which number expresses the difference between the number of pounds the zoo has on hand and the number of pounds needed?
A. 175
B. -55
C. -43

Answer:

(a) 0.00000221    (b) 4.2 x \(10^{5}\)

Step-by-step explanation:

(a)  \(10^{-6}\) means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x \(10^{5}\)

The angle between 0 degrees and 360 degrees that is coterminal with the following angle 0=-1625 degrees is 175.

Angles on the same side of the same quadrant are said to be coterminal angles. We repeatedly add or subtract a 360° full revolution from the supplied angle in order to discover an angle that is coterminal with it.

To determine a coterminal angle with the provided angle between 0tp 360 we add 360 to the given angle:

-1625 + 360(5) = 175

Hence, the angle between 0 degrees and 360 degrees that is coterminal with the following angle 0=-1625 degrees is 175.

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Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert \(\frac{44}{55}\) into a percentage.  \(\frac{44}{55}\)  can be simplified to \(\frac{4}{5}\) which is also 80%.

Answer:

Step-by-step explanation:

44 out of 55

divide :44/55=0.8

to convert it to decimal  you multiply by 100 and put percentage next to it

0.8*100=80

%80

Answer:

make it into y=mx+b form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

963.3 decimal form 9633/10 fraction form

Step-by-step explanation:

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\((4 \times {10}^{ - 1})(2.77 \times {10}^{ - 3}) = \)

\(4 \times 2.77 \times {10}^{ - 1} \times {10}^{ - 3} = \)

\(4 \times 277 \times {10}^{ - 2} \times {10}^{ - 4} = \)

\(1108 \times {10}^{ -6 } \)

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Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Answer:

3.7

Step-by-step explanation:

Absolute value is defined as the following:

\(\displaystyle{|x| = \left \{ {x \ \ \ \left(x > 0\right) \atop -x \ \left(x < 0\right)} \right. }\)

In simpler term - it means that for any real values inside of absolute sign, it'll always output as a positive value.

Such examples are |-2| = 2, |-2/3| = 2/3, etc.

Answer: The rate of revolutions per minute is 308.8 revolutions per minute.

Step-by-step explanation: To find the rate of revolutions per minute, we need to convert the number of degrees of rotation per second to the equivalent number of full rotations per minute.

First, divide the number of degrees of rotation per second by 360, which is the number of degrees in one full rotation:

1848 / 360 = 5.13

Next, multiply the number of full rotations by 60 to get the number of rotations per minute:

5.13 * 60 = 308.8

So, the rate of revolutions per minute is 308.8 revolutions per minute.

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

The expressions when simplified are -9 - 2i and x = ±8i

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

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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Answer:

cvbnmkjhyt

Step-by-step explanation:

w34567

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

The statement that correctly compares the two functions include the following: D. They have different y-intercepts but the same end behavior.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph and the functions shown in the image attached above, we can reasonably infer and logically deduce the following y-intercepts:

y-intercept of f(x) = (0, 4).

y-intercept of g(x) = (0, 8).

Additionally, the end behavior of both functions f(x) and g(x) is that as x tends towards infinity, f(x) and g(x) tends towards zero:

x → ∞, f(x) → 0.

x → ∞, g(x) → 0.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Cost of the food = $44.60

Step-by-step explanation:

Total cost of food, tax and tip = $55.75

Let

Cost of the food = x

Sales tax of 10% = 0.1x

Tip of 15% = 0.15x

Total cost = food + tax + tip

55.75 = x + 0.1x + 0.15x

55.75 = 1.25x

x =55.75/1.25

x = $44.60

Cost of the food = $44.60

Answer:

To find the surface area of a pyramid, we need to use the formula:

Surface Area = Base Area + [ (Perimeter of Base) x (Slant Height) ] / 2

Assuming the base of the pyramid is a square with sides of length 9in, the Base Area = 9in x 9in = 81in²

To find the slant height, we need to use the Pythagorean theorem:

( Slant Height )² = ( Height )² + ( 1/2 Base )²

( Slant Height )² = ( 9/2 )² + ( 9/2 )²

( Slant Height )² = 81/4 + 81/4

( Slant Height )² = 162/4

( Slant Height )² = 40.5

Slant Height = sqrt( 40.5 ) = 6.36in (rounded to two decimal places)

Perimeter of Base = 4 x Base = 4 x 9in = 36in

Now we can plug these values into the formula:

Surface Area = 81in² + [ ( 36in ) x ( 6.36in ) ] / 2

Surface Area = 81in² + ( 228.96in² ) / 2

Surface Area = 81in² + 114.48in²

Surface Area = 195.48in²

Rounding to the nearest tenth gives us answer A. O 187.1 in²

Answer:

x=74

Step-by-step explanation:

If two tangent segments are drawn from the same external point, then the segments are equal.

Answer:

As we know that the theorm says that tangents drawn from external points of circle are equal so

AB = BC

X - 24 = 50

x = 50 - 24

x = 26

Hooe it helps u

Answer:

6

Step-by-step explanation:

2904 = 2 x 2 x 2 x 3 x 11 x 11 = (2 x 3) x (2 x 2) x (11 x 11)

=> Smallest number by which 2904 must be divided so that it becomes a perfect number MUST belong to

{(2 x 3), (2 x 3) x (2 x 2), (2 x 3) x (2 x 2) x (11 x 11)} = {6, 24, 2904}

It is easy to see that the solution is  6

(this is the smallest number in collection above)

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The critical t-value that corresponds to a 95% confidence level with 15 degrees of freedom is approximately 2.131.

To find the critical t-value that corresponds to a 95% confidence level with 15 degrees of freedom, we can use a t-table or a statistical software.

Using a t-table or a statistical software, we look up the critical t-value for a two-tailed test with a confidence level of 95% and 15 degrees of freedom.

For a two-tailed test, we divide the desired confidence level by 2 to account for both tails of the t-distribution. In this case, we divide 95% by 2, which gives us 0.475.

Looking up the critical t-value for a confidence level of 0.475 and 15 degrees of freedom, we find that the critical t-value is approximately 2.131.

Therefore, the critical t-value that corresponds to a 95% confidence level with 15 degrees of freedom is approximately 2.131.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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By choosing x = 0, we have found a value for which both sides of the equation 1 / (1 - x) = 1 / x are defined but not equal. This demonstrates that the equation is not an identity.

Let's consider the equation:

1 / (1 - x) = 1 / x

To show that this equation is not an identity, we need to find a value of x for which both sides are defined but not equal.

Let's examine the left side of the equation first. The expression 1 / (1 - x) is defined for all values of x except when the denominator becomes zero. Therefore, 1 - x ≠ 0. Solving this inequality, we find that x ≠ 1.

Now let's examine the right side of the equation. The expression 1 / x is defined for all values of x except when the denominator becomes zero. Therefore, x ≠ 0.

To find a value of x that satisfies both conditions (x ≠ 1 and x ≠ 0), we can choose x = 0.

For x = 0, the left side of the equation becomes 1 / (1 - 0) = 1, while the right side becomes 1 / 0, which is undefined.

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Answer:

I think sin<GEJ IS equivalent to sin∠GFH

All that are equivalent to sin∠GFH is

D) cos(&lt;EGJ)

sin(&lt;GEJ)cos(&lt;FGH)cos(&lt;EGJ)

From the image JE and HF are parallel.

So angle GFH and angle GEJ are corresponding angles.

So they are equal.

so, sin(&lt;GFH) = sin(&lt;GEJ).

From triangle GFH, &lt;GFH+&lt;FGH = 90.

So, sin(&lt;GFH) =cos(&lt;FGH).

Again &lt;FGH = &lt;EGJ.

So, sin(&lt;GFH) =cos(&lt;EGJ)

All that are equivalent to sin∠GFH is cos(&lt;EGJ).

Thus, the correct answer is D.

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(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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To find the area of the surface between the cylinders x^2 y^2 = 9 and x^2 y^2 = 16 for the hyperbolic paraboloid z = y^2 − x^2, we can set up a double integral over the region of interest.

First, let's find the limits of integration for x and y. The equation x^2 y^2 = 9 represents a hyperbola, and x^2 y^2 = 16 represents another hyperbola. We can solve for y in terms of x for both equations:

For x^2 y^2 = 9:

y^2 = 9 / (x^2)

y = ±3 / x

For x^2 y^2 = 16:

y^2 = 16 / (x^2)

y = ±4 / x

Since the hyperbolic paraboloid is symmetric about the x and y axes, we only need to consider the positive values of y. Thus, the limits for y are from 3/x to 4/x.

To find the limits for x, we can equate the two equations:

3 / x = 4 / x

3 = 4

This is not possible, so the two curves do not intersect. Therefore, the limits for x can be determined by the region bounded by the hyperbolas. We solve for x in terms of y for both equations:

For x^2 y^2 = 9:

x^2 = 9 / (y^2)

x = ±3 / y

For x^2 y^2 = 16:

x^2 = 16 / (y^2)

x = ±4 / y

Again, considering only positive values, the limits for x are from 3/y to 4/y.

Now we can set up the double integral for the area:

A = ∬ R √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA

where R represents the region of integration and dA is the differential area element.

The integrand √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) simplifies to √(1 + 4y^2 + 4x^2).

Therefore, the area A can be expressed as:

A = ∫∫ R √(1 + 4y^2 + 4x^2) dA

To evaluate this double integral, we integrate with respect to y first, and then with respect to x, using the limits determined earlier:

A = ∫[3/y, 4/y] ∫[3/x, 4/x] √(1 + 4y^2 + 4x^2) dx dy

After integrating, the resulting expression will give us the area of the surface between the two cylinders.

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Answer: 2/7

Step-by-step explanation:

Slope form: y2-y1/x2-x1

4-8/-4-10 ==> -4/-14 ==> 2/7

Answer: 135/20=6.75

Step-by-step explanation:

Long division (picture attached below)

The sum of the rational numbers -13/6 + 7/12 is  -19/12.

What is the meaning  simplest form of an expression?

A simple expression is one that has no negative exponents, only one instance of each base, and no parenthesis.

Given rational numbers are -13/6 and 7/12.

First find the lcm of the denominators of both rational numbers.

6 = 2 × 3

12 = 2 × 2 × 3

The lcm of the denominators is 2 × 2 × 3 = 12.

Make the denominator of  -13/6 by multiplying 2 with denominator and numerator:

(-13 × 2 )/(6 × 2 ) = -26/ 12

Now add -26/ 12 with 7/12

-26/ 12 + 7/12

= (-26 + 7) /12

= -19/12

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Answer:

10,710 People claimed their water bottle

Step-by-step explanation: