Divide.
(4x²+35x+44) / (x+7)

The average number of grams of fat per ounce of meat or fish is 2.895862 grams per oz.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

First, we can see that the person consumes 14.5 oz of meat/fish over a 5-day period.

Fried shrimp is 3/14.5 of the total the food

The Veal cutlet is 3/14.5

Roast beef is 2/14.5

Fried chicken is 2.5/14.5

and canned tuna is 4/14.5

Thus, the average mean is:

(3/14.5)(3.33) + (3/14.5)(3) + (2.5/14.5)(2.50) + (2/14.5)(4.40) + (4/14.5)(1.75)

0.688966 + 0.620690 + 0.344828 + 0.758621 + 0.482759

Apply the addition operation, and we get

= 2.895862 grams per oz

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The question seems incomplete, the complete question would be as:

Using the weighted mean, find the average number of grams of fat per ounce of meat or fish that a person would consume over a 5-day period if he ate these:

meat or fish fat (g/oz)

3 oz fried shrimp 3.33

3 oz veal cutlet 3.00

2 oz roast beef 2.50

2.5 oz friedchicken 4.40

4 oz canned tuna 1.75

Answer:The value of x would be -5.

Step-by-step explanation:

To solve for x, we need to isolate it on one side of the equation. We can do this by adding 7 to both sides, which gives us 2x = x + 9. Next, we can subtract x from both sides, which gives us x = 9. Finally, we can subtract 9 from both sides to get x = -5.

Answer: x=9

Step-by-step explanation:

2x-7=x+2

x-7=2

x=9

Angle that the tent pole makes with the sides of the tent is 39.6°.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given that,

A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long.

The central pole forms a right triangle with the floor of the tent.

We need the angle tent pole makes with the sides of the tent.

We have the hypotenuse as the slant height and the central pole is the adjacent side of the angle.

The cos of the missing angle is the ratio of the length of the central pole to the length of the side of the tent.

cos x = 20 / 26 = 0.7692 ≈ 0.77

Applying arccosine,

x = cos⁻¹ (1.3) = 39.6°

Hence the required angle is 39.6°.

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Answer:

144 km

Step-by-step explanation:

Answer: The scale factor tells us the ratio of the size of the model to the size of the actual object. In this case, the scale factor is 5:8, so the model is 5/8 the size of the actual object.

If we know that the actual width is 20 ft and we want to find the width of the model, we can set up an equation using the scale factor:

(Model width) / (Actual width) = 5/8

Cross-multiplying and solving for the model width, we get:

Model width = (Actual width) * (5/8) = 20 ft * (5/8) = 25/4 ft = 6.25 ft

So, the model width is 6.25 ft.

Step-by-step explanation:

The given exponential expression is simplified to b.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is 1⁴²b¹×18⁰

We know that, 1 raise to any power is 1.

The zero law of exponents is a⁰=1

Now, 1⁴²b¹×18⁰=1×b¹×1

= b

Therefore, the given exponential expression is simplified to b.

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The value of given expressions closed to e is  ( 1+ (1/22 ) )^ 22 .

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

Given expressions,

so we have to find the expressions whose close value is closet to e

and we know that the value of e is 2.718

So,

(1+(1/19))^19  = (20/19)^19 = 2.65

(1+(1/22))^22 = (23/22)^22 = 2.659

(1+(1/30))^20 = (21/20)^20 = 2.653

(1+(1/21))^21 = (22/21)^21 = 2.656

So, from the above calculations we can say that the value 2.659 is closest to the value of e .

Hence , The value of given expressions closed to e is  ( 1+ (1/22 ) )^ 22 .

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A = π * 16^2 = π * 256 sq inches is the radius of the circle.

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The time required to paint the larger cone is 6.0 minutes.

Let's call the radius of the base of the cone "r". The area of the base can be expressed as πr^2, so 49π = πr^2, which means r^2 = 49. Taking the square root of both sides, we get r = 7.

The volume of the cone can be expressed as (1/3)πr^2h, where h is the height, so (1/3)πr^2h = (1/3)π * 7^2 * 6 = 98π cubic inches.

If the area of the base is doubled, the new radius will be 2r = 2 * 7 = 14, and the new volume will be (1/3)πr^2h = (1/3)π * 14^2 * 6 = 392π cubic inches.

Since the rate of painting the cone is constant, painting the larger cone will take the same amount of time as painting the smaller cone, but the larger cone will take 4 times as long to paint because its volume is 4 times larger. So, 1.5 * 4 = 6 minutes will be required to paint the larger cone.

Rounding to the nearest tenth, the time required to paint the larger cone is 6.0 minutes.

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Answer:

2.6 minutes

Step-by-step explanation:

- I took the test and got it wrong so here is the right answer

The percentage of the jeans are neither blue, black, nor white is 22.5%

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Frequently, it is indicated with the percent sign, "%". A % lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value.

Given that blue jeans are 45%

black jeans are 0.2 that is,

⇒ black jeans are 0.2*100% = 20%

white jeans are 1/8

⇒ white jeans are 1/8*100% = 12.5%

rest jeans are of other colors.

So, the jeans of other colors = 100% - (45% + 20% + 12.5%)

⇒ the jeans of other colors = 100% - 77.5%

⇒ the jeans of other colors = 22.5%

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A larger pitcher holds up to 104 which is only about a quarter of gallon.

What is 1 liter equivalent in ml ?

The one liter equivalent in ml as follows , one liter is always equals to 1000ml.

Given ,

In The diagram shows four identical 1-liter containers with different amounts of fruit punch. About how much fruit punch is there in all .

When you have a pither full of lemonade there are two liquid volumes that you can use for measure it are Ounces and Gallons, there are just a few pitchers that are actually capable of content a gallon of liquid, in this case the best suitable liquid volumes are Ounces, most pitchers can hold from 30-70 ounces. A larger pitcher holds up to 104 wich is only about a quarter of gallon.

Therefore , A larger pitcher holds up to 104 which is only about a quarter of gallon.
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Answer:

Question 6

Question 7

Step-by-step explanation:

Question 6

AC and BD are the diagonals of the rectangle ABCD

The diagonals of a rectangle are equal

∴ BD= AC

Substituting for AC and BD in terms of their expressions in x:

4x + 5 = 3x + 12

4x-3x + 5 = 12    --> subtract 3x from both sides

x + 5 = 12

x = 12-5 = 7

Therefore BD = 4x + 5 = 4(7) + 5 =33

Question 7

In square BELF, ∠BSE is formed by the intersection of its two diagonals BL and EF

The diagonals of a square  have the following properties

We will use the third property that at intersection the angles formed are of 90°. One of these 4 angles is ∠BSE

m∠BSE = 90°

But m∠BSE = 7x + 13

Equating the two:

7x + 13 = 90

7x = 90-13 = 77

x = 11

Answer: 2

Step-by-step explanation:

SOOO, hold up your fingers righhht

We all have 5 fingers on each hand righttt

close your hand and stick up two fingers

1...

2...

count the number of fingers that ou held up and ya!

Hope this helps!!

Answer:

that's a good question bravo

so don't report me trying to help you out

An equation with degree three is called a cubic equation. The nature of roots of all cubic equations is either one real root and two imaginary roots or three real roots. If the polynomials have degree three, they are known as cubic polynomials.

A cubic polynomial function of the third degree has the form shown on the right and it can be represented as y = ax3 + bx2 + cx + d, where a, b, c, and d are real numbers and a ≠ 0.

To solve an equation with a variable in a fraciton, treat the denominator as a constant value and multiply both sides of the equation by the denominator in order to eliminate it.

Rule 1: a1/m × a1/n = a. (1/m + 1/n)

Rule 2: a1/m ÷ a1/n = a. (1/m - 1/n)

Rule 3: a1/m × b1/m = (ab) 1/m

Rule 4: a1/m ÷ b1/m = (a÷b) 1/m

Rule 5: a-m/n = (1/a) m/n

An equation to represent this scenario "I drove at a rate of 50 miles per hour" is y = 50x.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order to write the required equation, we would assign a variable to the time and distance, and then translate the word problem into algebraic equation as follows:

Since you drove at a rate of 50 miles per hour, the required equation is given by;

y = 50x.

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Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01

First, determine the total amount of lavender solution needed for the 18 ounces of perfume.

This is 18 ounces x 12% = 2.16 ounces.

Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.

Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz

Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz

Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

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Answer:

23

Step-by-step explanation:

he value of B in the table is 23.

The measure of the exterior angle at D when AD is extended is 117 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

as, BC ||AD and AB || DC

So, <ABC + <BAD = 180 (Co- interior angle)

and, <BAD + <ADC = 180

<BAD= 180- 63 = 117

and, <ADC = 180- 117= 63

Thus, ADC + <CDE = 180 (Co- interior angle)

<CDE= 180- 63

<CDE= 117

So, <CDE is an exterior angle.

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Answer: To determine which size frame will be in the center, we need to order the frame sizes from smallest to largest.

9 1/6 < 9 1/8 < 9 1/3 < 9.15 < 9.25

So the smallest frame will be 9 1/6 inch wide. So the frame with size 9 1/6 inch will be in the center.

Step-by-step explanation:

The value of the co-terminal angle in the range [ 0 , 360° ] is 308° , located in the fourth quadrant.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the co-terminal angle be represented as A

Now , it is the angle that share the terminal side of an angle occupying the standard position

Positive co-terminal angles: 308°, 668°, 1028°, 1388°, 1748°

Negative co-terminal angles: -52°, -412°, -772°, -1132°

Now , the trigonometric relations in the fourth quadrant going anti-clockwise, only cos is positive

Hence , the positive angle in the co-terminal angle is 308°

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Answer:3

Step-by-step explanation: 1.5 divided by 0.5 would be 3 or you could do 0.5 until you hit 1.5 and it would be 3

By calculating the given expression we get 0.248 as a final resultant.

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

Given in the expression ,

(1.24 *10 ^2 ) ( 3.6 * 10 ^ -2 ) / 1.8 * 10

10 ^2 is 100

10^-2 is 1/100 .

as a^-n = 1/a^n

= ( 124/100  * 100 )  (36/10 * 1/100 )  

= (124 * 36 / 1000 ) / 18 / 18/10 * 10

= 124 * 36 / 18 * 1000

= 124 * 2 / 1000

= 248 / 1000

= 0.248

Hence, By calculating the given expression we get 0.248 as a final resultant.

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2 < x < 4 is the range of numbers for which x² - 4 x < 0 holds true. The difference between a set's highest and lowest integers is known as the range.

Domain of [tex]$x^2-4 x$[/tex] [tex]: $\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

A function's domain is the range of input or argument values for which it is valid and defined. There are no domain restrictions or undefinable locations in the function. Consequently, the domain is [tex]$-\infty < x < \infty$[/tex] .

Range of [tex]$x^2-4 x:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-4 \\ \text { Interval Notation: } & {[-4, \infty)}\end{array}\right]$[/tex]

The range of dependent variable values that make up a function's definition

Vertex of [tex]$x^2-4 x[/tex] : Minimum (2,-4)

As for a parabola [tex]$a x^2+b x+c$[/tex] using Vertex [tex]$\left(x_v, y_v\right)$[/tex]

If a<0 the range is [tex]f(x) \leq y_v$[/tex]

If a>0 the range is [tex]f(x) \geq y_v[/tex]

[tex]$a=1, {Vertex}\left(x_v, y_v\right)=(2,-4)$[/tex]

[tex]$$f(x) \geq-4$$[/tex]

Axis interception points of [tex]$x^2-4 x: \quad$[/tex] X Intercepts: (4,0),(0,0), Y Intercepts: (0,0)

Vertex of [tex]$x^2-4 x$[/tex] : Minimum (2,-4) .

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Answer:

Inga could factor the quadratic equation: 2x^2 + 12x - 3 = 0 -> 2(x^2 + 6x + (-3/2)^2) = 0

Inga could use the quadratic formula: x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a = 2, b = 12 and c = -3.

Inga could complete the square: 2x^2 + 12x - 3 = 0 -> 2(x^2 + 6x + 9) - 18 = 0 -> 2(x + 3)^2 - 18 = 0

Step-by-step explanation:

A) The four points are (1,1), (2,3), (3,6), and (4,10). The points are not forming a linear graph.

B) The equation will give 10.92 at n = 4.2.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.

Given that the sum s of the first n positive integers is s=1/2n(n+1) plot four points (n,s) that satisfy the equation.

The four points will be calculated as,

S=1/2n(n+1)

S₁= 1 / 2 ( 1 + 1 ) = 1

S₂ = 2 / 2 ( 2 + 1) = 3

S₃ = 3 / 2 x ( 4) = 6

S₄ = 4 / 2 x ( 5 ) = 10

The value at n -= 4.2,

S = ( 4.2 / 2) x ( 4.2 + 1 )

S = 10.92

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Answer:

the answer is in the picture.. y must be 0 and x can be whatever

Answer: y = -2

Step-by-step explanation:

2(5)+y=8

10+y=8

10-10+y=8-10

y=-2

Step-by-step explanation:

a) The x-coordinates at which f has critical values can be found by looking at the x-coordinates of the points where the graph of f' changes from increasing to decreasing or vice versa. These are the points where the graph of f' crosses the x-axis.

Based on the graph of f', we can see that the critical points occur at x = -2, -1, and 2. To determine if these are relative minimum, relative maximum, or neither, we need to examine the second derivative of f. If the second derivative is positive at a critical point, then the point is a relative minimum. If the second derivative is negative at a critical point, then the point is a relative maximum. If the second derivative is zero at a critical point, then it's neither.

b) The graph of f is concave up when the second derivative is positive, and the graph of f is decreasing when the first derivative is negative. Based on the graph of f', we can see that the graph of f is concave up on the open intervals (-3,-2) and (1,2) and decreasing on the open intervals (-infinity,-3) and (-2,-1) U (2,4) U (infinity,4)

c) The x-coordinates of all points of inflection on the graph of f are the points where the concavity of the graph changes. We can see that a point of inflection occurs at x = -1 and x = 2