4. Which situations would be represented by a negative number? Choose
all that apply. *
1 point
a. 23 degrees above 0 degrees F
b. 100 feet below sea level
c. Owing $200 for a new bicycle
d. Earning 45 points in a quiz game
e. A deposit of $45 in your savings account

Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

Answer:the first one opn and qps

Step-by-step explanation:

The number of apples for the lot will be 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to 2. Tia wants to sell a total of 35 apples and oranges.

a /o = 3 / 2

a + o = 35

( 3 / 2)o + o = 35

5o = 70

o = 14

a + o = 35

a + 14 = 35

a = 21

Hence, the number of apples for the lot will be 21.

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:2(x+1)

Step-by-step explanation:

"think of a number"  I thought of x.

"add 1"  OK                 x+1

"double the result"    2(x+1)

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.

1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.

2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.

3. To find the maximum height, we need to determine the vertex of the parabolic equation.

4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).

5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).

6. Simplifying the expression, we find x = 4.44.

7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.

8. Evaluating the expression, we find y ≈ 4.32.

9. The maximum height of the tent is approximately 4.32 feet.

10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.

11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.

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Answer:

See picture

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test and it is the only one that makes sense

Answer:

a

Step-by-step explanation:

Answer:

you need to show us the graph

Taking into account the definition of a system of linear equations, a student has 24 dimes and 6 nickels.

A system of equations is a set of equations in which there are two or more variables, the goal of which is to find all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.

In other words, a system of linear equations is a set of two or more first degree equations that relate two or more unknowns, in which it is desired to find the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

d + n = 30

0.10d + 0.05n = 2.70

It is decided to solve it using the substitution method. This method consists of isolate one of the variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "d" from the first equation:

d= 30 -n

Replacing the expression in the second equation:

0.10×(30 - n) + 0.05n = 2.70

Solving:

0.10×30 - 0.10n + 0.05n = 2.70

3- 0.10n + 0.05n = 2.70

- 0.10n + 0.05n = 2.70 -3

-0.05n= -0.3

n= (-0.3)÷ (-0.05)

n= 6

Remembering that d=30 -n you get:

d= 30 - 6

d= 24

There are 24 dimes and 6 nickels.

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Answer:

x² + 10x + 25

Step-by-step explanation:

To expand two quantities, we need to distribute each value in each quantity.

For example:

Start with multiplying the x in the first quantity with the x in the other quantity.

(x+5)(x+5) = x²...

Then multiply the x in the first quantity with the 5 in the other quantity.

(x+5)(x+5) = x² + 5x...

Repeat with the 5 in the first quantity.

(x+5)(x+5) = x² + 5x + 5x +25

Combine like-terms to simplify.

x² + 10x + 25

Answer:

x^2+10x+25 or (x+5)^2

Step-by-step explanation:

(x+5)(x+5)

Multiply x+5 and x+5 to get (x+5)^2 .

(x+5)^2

Use binomial theorem (a+b)^2 =a^2 +2ab+b^2  to expand (x+5)^2 .

x^2+10x+25

Answer:

x=-1, y=-8.

Explanation:

Given the system of equations:

To eliminate y, subtract:

Divide both sides by 11:

Next, substitute the value of x into any of the equations to solve for y:

The solution to the system of equations is x=-1, y=-8.

Answer:

81 pages

Step-by-step explanation:

To find the number of pages read on the next day, multiply the number of pages read on the previous day by 3

Number of pages read on Monday = 3 pages

Number of pages read on  Tuesday = 3*3 = 9

Number of pages read on Wednesday = 9*3 = 27

Number of pages read on  Thursday = 27 * 3 = 81

The equivalent expression to 2/3 - 1/4x + 1/2x - 1/6 is given as follows:

1/2 + 1/4x.

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify an expression.

The expression for this problem is defined as follows:

2/3 - 1/4x + 1/2x - 1/6.

The like terms are simplified as follows:

Hence the simplified expression is given as follows:

1/2 + 1/4x.

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The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

  105 miles

Step-by-step explanation:

The relationship between speed, time, and distance is ...

  distance = speed × time

For the given conditions, the distance is ...

  distance = (70 mi/h)×(1.5 h) = 105 mi

Sam traveled 105 miles.

Answer:

A

Step-by-step explanation:

When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.

option c. 1 3/5

2/5 ÷ 2/8

= 2/5 × 8/2

= 8/5

= 1 3/5

Hence, option c. 1 3/5

Using exponential function, the value of x that makes f(x) = g(x) is x = 6.7 (rounded to the nearest integer).

The value of x that makes f(x) = g(x) is approximately x = 76.

To solve this, you can set f(x) = g(x) and solve for x.

\(f(x)=400(0.90)^x\\g(x)=70(1.10)^x\\400(0.90)^x = 70(1.10)^x\\Divide both sides by 400 to get:\\(0.90)^x = (1.10)^x / (400/70)\\\)

Take the logarithm of both sides and use the power rule:

\(x(log 0.90) = (log (1.10)) / (log (400/70))\\x = (log (1.10)) / (log (400/70)) / (log 0.90)\\x = 76.3 (round to the nearest integer)\\\)

Therefore, the approximate value of x that makes f(x) = g(x) is x = 76.

To solve this, we can set the two equations equal to each other and solve for x.

\(f(x)=400(0.90)^x = 70(1.10)^x\\400(0.90)^x = 70(1.10)^x\\(0.90)^x = 70/400 (1.10)^x\\(0.90)^x / (1.10)^x = 70/400\\(0.90/1.10)^x = 70/400\\(0.81818)^x = 70/400\\\)

Take the logarithm of both sides.

\(xlog(0.81818) = log(70/400)\\x = log(70/400) / log(0.81818)\\x = 6.7 (rounded to the nearest integer).\)

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why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

The school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

To determine if Mary School reaches its goal of reading 5,000 books, we need to calculate the total number of books raised by each class.

For the three classes that raised 875 books each, we can calculate the total number of books as:

3 x 875 = 2,625 books

For the four classes that raised 640 books each, we can calculate the total number of books as:

4 x 640 = 2,560 books

To find the total number of books raised by all the classes, we can add the books raised by each group:

2,625 + 2,560 = 5,185 books

Since the total number of books raised is greater than the goal of 5,000 books, we can conclude that Mary School has reached its goal.

Therefore, the school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

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Answer:

I think it would 12 and 14

Answer: y = 11

Step-by-step explanation:

Our problem: 72y - 126 = 522 + 144

1. Simplify 552 + 144 to 666

72y - 126 = 666

2. Add 126 to both sides

72y = 666 + 126

3. Simplify 666 + 126 to 792

72y = 792

4. Divide both sides by 72

y = \(\frac{792}{72}\)

5. Simplify \(\frac{792}{72}\) to 11

y = 11