"A serving of fish contains 50 g protein and 4 g of fat. If protein has a caloric value of 4 kcal/g and fat has 9 kcal/g, how many kcal are in the serving?"

Answer: the speed with which the car strikes the tree is 27.025 m/s

Step-by-step explanation:

We would apply Newton's equation of motion. It is expressed as

S = ut + 1/2at²

Where

S represents the distance covered by the car

u represents the initial velocity of the car( the speed with which the car strikes the tree)

t represents the time taken to cover the distance

a represents the deceleration of the car.

From the information given,

S = 62.9 meters

a = - 5.65 m/s2

t = 4 seconds

Therefore

62.9 = u × 4 + 1/2 × - 5.65 × 4²

62.9 = 4u - 45.2

4u = 62.9 + 45.2

4u = 108.1

u = 108.1/4 = 27.025 m/s

Final answer:

The car's speed at the moment it strikes the tree, after decelerating with an acceleration of -5.65 m/s² for 4.00 seconds over a distance of 62.9 m, is calculated to be 22.6 m/s.

Explanation:

The question relates to the final speed of a car after it has been decelerating over a certain distance due to the driver applying the brakes. With an acceleration of −5.65 m/s² over a time period of 4.00 seconds, and the car making skid marks 62.9 m long, we are tasked with determining the speed at which the car eventually hits the tree.

To solve this problem, we first calculate the initial speed of the car before it started to decelerate. We use the kinematic equation: v = u + at, where 'v' is the final velocity (0 m/s, since the car eventually stops), 'u' is the initial velocity, 'a' is the acceleration, and 't' is the time. Rearranging this equation to solve for 'u', we get u = v - at. Substituting the given values, we find that the initial velocity 'u' was 22.6 m/s.

However, to find the speed at which the car hits the tree implies we need to know the speed at a specific point before it comes to a complete stop, specifically at the end of the 62.9 m distance. For this, considering the constant deceleration, the car's speed when it strikes the tree can be considered to be the same as its speed just before deceleration, which is calculated to be 22.6 m/s.

Answer:

Step-by-step explanation:

1) The equation of a line is given by y = mx + c, where m = slope or gradient and c is intercept on y - axis. Given in this question, m = -5 and c = 3. Subtituting this in the equation y = mx + c, we have y = -5x + 3, therefore, the equation of the line is y = -5x + 3 or y + 5x = 3

2) The equation of a line is given as y-y1 = m(x-x1), where x1 = 6, y1 = -4 and m = -1/3. The equation of the line is y - -4 = -1/3(x - 6)

   y+4 =-1/3(x-6)

  3(y+4)= -1(x-6)

  3y + 12 = -x+6

  x+3y=6-12

   x+3y= -6, therefore the equation of the line is x+3y = -6

3) The equation is y-y1=m(x-x1), where m=(y2-y1)/(x2-x1)=

(2- -4)/(-2-0)=6/-2=-3

     y- -4= -3(x-0)= -3x

    y+4= -3x

     y+3x= -4

4) y-y1=m(x-x1)    

  m=(2-1) /(-4- -6)=1/2

  y-1=1/2(x- -6)

  y-1=1/2(x+6)

 2(y-1) = x+6

 2y-2=x+6

2y-x =6+2=8     2y-x=8

5) The equation is with undefined slope passing through (2, 5) is

       x-2=0

       x=2

Joey started his day with $63.

Step-by-step explanation:

Let,

x be the amount Joey started with.

Amount left = 5 cent = $0.05

Amount spent on bus ticket = $0.75

Amount spent on soccer ball = [tex]\frac{1}{2}x[/tex]

Amount spent on lunch = [tex]\frac{1}{4}x[/tex]

Amount spent on soccer tickets = $14.95

According to given statement;

Total amount - bus ticket - soccer ball - lunch - soccer tickets = Amount left

[tex]x-0.75-\frac{1}{2}x-\frac{1}{4}x-14.95=0.05\\\\x-\frac{1}{2}x-\frac{1}{4}x=0.05+0.75+14.95\\\\\frac{4x-2x-x}{4}=15.75\\\\\frac{x}{4}=15.75[/tex]

Multiplying both sides by 4

[tex]4*\frac{x}{4}=15.75*4\\x=63[/tex]

Joey started his day with $63.

Keywords: variable, addition

Learn more about addition at:

#LearnwithBrainly

Answer:

The correct option is c.

can be very confident; it will be close, but it probably won’t be exact.

Step-by-step explanation:

Correlation coefficient r lies between -1 and +1 , if r is close to +1 the variables compared are highly positively correlated. If r is close to -1 then the variables compared are highly negatively correlated. If r is close to zero then the correlation between the variables compared is low. If r=0 then the variables compared do not correlate at all.

The closer the correlation coefficient is to +1, the better the prediction.

Therefore since r=0.793 , the correlation coefficient is close to +1 , it means there is a highly positive correlation between variables. Therefore the correct option is c. If r is exactly +1 then we can say without any shadow of doubt that the prediction will be perfect.

Answer:

When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do P(A) and P([math] \overline A [/math]) represent?

Step-by-step explanation:

The value of x in the expression will be 36.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is;

⇒ √x - 11 = 5

Now,

Solve the expression for x as;

⇒ √x - 11 = 5

Squaring on both side;

⇒ (√x - 11)² = 5²

⇒ x - 11 = 25

Add 11 both side;

⇒ x - 11 + 11 = 25 + 11

⇒ x = 36

Thus, The value of x in the expression will be 36.

Learn more about the mathematical expression visit:

https://brainly.com/question/1859113

#SPJ2

The correct answer is option D. 36.

We need to solve the equation:

√(x - 11) = 5

To solve this, follow these steps:

Square both sides to eliminate the square root.

√(x - 11)2 = 52

x - 11 = 25

Isolate x by adding 11 to both sides:

x - 11 + 11 = 25 + 11

x = 36

So, the correct answer is 36 (option D).

Answer: your IQ test score is 117

Step-by-step explanation:

Assume that the mean of a normal distribution of IQ scores is 102 and the standard deviation is 15.

If you have been told that your test score is 1 standard deviation above the mean, it means that your score would be

102 + 15 = 117

According to the empirical rule, 68% of data falls within the first standard deviation from the mean. This means that 117 falls within 68% of the scores.

Answer:

d. An additional month of buying and selling is associated with an additional $417 in profits.

Step-by-step explanation:

We have general form of intercept form of equation:

y = m*x + c ----- (A)

Given equation is : y = 2502 + 417*x

Rewrite equation: y = 417*x + 2502 ------(B)

comparing equation (B) with equation (A), we get

m = 417 (additional benefits per month) because multiplied factor x is the month.

Final answer:

The slope in Rick's linear model represents an additional profit of $417 for each additional month of buying and selling antiques, making option d correct.

Explanation:

Rick's linear model for his profits from buying and selling antiques is given by the equation y = 2,502 + 417x, where x represents time in months and y represents his total profits in dollars. The coefficient of x in this equation, which is 417, represents the slope of the line.

In this context, the slope indicates that for each additional month of buying and selling antiques, Rick's profits are expected to increase by $417. Therefore, the correct interpretation of the slope is that an additional month of buying and selling is associated with an additional $417 in profits, making option d the correct answer.

Answer: Option 'e' is correct.

Step-by-step explanation:

Since we know that

Discrete data are those data which is countable and it is expressed in exact numerical form.

Continuous data are those data which is lie within the interval and it varies so it does not expressed in exact numerical form.

Here, the number of iphones sold today at an Apple store is countable and it can be expressed in exact numbers.

So, it is considered as discrete.

Hence, Option 'e' is correct.

Final answer:

The number of iPhones sold today at an Apple store represents an example of quantitative discrete data.

Explanation:

The number of iPhones sold today at an Apple store is an example of classified as discrete data. This is because the number of iPhones can only take on specific numerical values and cannot be a fraction or a decimal. In other words, you cannot sell half an iPhone, so the data is quantitative discrete.

The area of one trapezoidal face of the figure is 2 square inches

The dimensions of the trapezoid are given as:

The area of one trapezoidal face of the figure is the calculated using:

Area = 0.5 * (base + top side) * height

So, we have:

Area = 0.5 * (3 + 1) * 1

Evaluate

Area = 2

Hence, the area of one trapezoidal face of the figure is 2 square inches

Read more about areas at:

https://brainly.com/question/15944318

#SPJ2

Answer: 2

Step-by-step explanation:

Length of segment HJ is 5√3 units

Step-by-step explanation:

Here, apply the Pythagorean relationship where sum of squares of the sides equals the square of the hypotenuse.

Given that the hypotenuse, c= 10 units, and one of the side, a=5 units, then the other side can be calculated as;

a²+b²=c²

5²+b²=10²

b²=10²-5²

b²=100-25

b²=75

b=√75 = √3*25 = √3 *√25 = √3 *5 = 5√3

Length of segment HJ is 5√3 units

Learn More

Pythagorean relationship:https://brainly.com/question/14532944

Keywords :triangle, right-angle, side, hypotenuse,line segment

#LearnwithBrainly

Answer:

B

Step-by-step explanation:

Answer: the total number of distance markers on the trail is 6

Step-by-step explanation:

The total distance that Robert covers in the race is 3 miles.

If a distance marker is placed evenly every 1/2 mile from the beginning of the race until the end, then the total number of distance markers on the trail would be

3/0.5 = 6

Answer:

b. [tex]\displaystyle 90 - 9p^2[/tex]

a. [tex]\displaystyle -9[-10 + p^2][/tex]

Step-by-step explanation:

b. [tex]\displaystyle 90 - 9p^2 = -3p^2 + 30 - 6p^2 + 60 = -3p(p - 10) - 6p(p - 10)[/tex]

a. [tex]\displaystyle -9[-10 + p^2] = 90 - 9p^2[/tex]

I am joyous to assist you anytime.

Final answer:

The profit expression -3p(p-10)-6p(p-10) simplifies first by factoring out the greatest common factor to -9p(p-10), and then further simplifies to -9p² + 90p by distributing the -9p across the parentheses.

Explanation:

The student is tasked with simplifying the profit expression given by -3p(p-10)-6p(p-10), first by factoring out the greatest common factor, and then by writing the expression in the simplest form without parentheses.

To begin, we notice that both terms in the expression share a common factor of p(p-10), so we can factor this out:

-3p(p-10) - 6p(p-10) = -9p(p-10).

Upon factoring out the common factor, our expression simplifies to -9p(p-10). Next, we simplify this expression by removing the parentheses and multiplying through by the common factor:

-9p(p - 10) = -9p² + 90p.

Therefore, the simplified profit expression with no parentheses is -9p² + 90p.

Answer:

17.B

19. C

20.C

Step-by-step explanation:

17.

[tex]\frac{m^2n^3}{p^3} \div \frac{mp}{n^2}\\=\frac{m^2n^3}{p^3} \times \frac{n^2}{mp}\\=\frac{mn^5}{p^4}[/tex]

19.

[tex]w^{2} +w-20=w^2+5w-4w-20=w(w+5)-4(w+5)=(w+5)(w-4)\\(w-3)(w-4)=w(w-4)-3(w-4)=w^2-4w-3w+12=w^2-7w+12\\reqd.~fraction ~is~ \frac{w^2-7w+12}{w^2+w-20}[/tex]

20.

[tex]\frac{w^2+5w+6}{w^2-w-12} =\frac{w^2+3w+2w+6}{w^2-4w+3w-12} =\frac{w(w+3)+2(w+3)}{w(w-4)+3(w-4)} =\frac{(w+3)(w+2)}{(w-4)(w+3)} =\frac{w+2}{w-4}[/tex]

Answer: The function will be ODD.

Hope this helps! :)

QuezoMartiinez

The function f(x) = -9x³ + 8x is odd.

Option A is the correct  answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function f(x) is even if f(-x) = f(x).

A function is odd if f(-x) = -f(x).

Using the above definition.

f(x) = -9x³ + 8x

Put x = -x

f(-x) = -9 x (-x³) + 8 x (-x)

f(-x) = 9x³ - 8x

f(-x) = - ( -9x³ + 8x)

f(-x) = -f(x)

This means,

The function is odd.

Thus,

f(x) is odd.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

The answer to your question is 10.5 in

Step-by-step explanation:

Data

First triangle

height = x

base = 7 in

Second triangle

height = 12 in

base = 8 in

Process

1.- Use proportions to solve this problem, relates the sides of a triangle with the same sides of the other triangle.

                                   [tex]\frac{x}{7} = \frac{12}{8}[/tex]

2.- Multiply both sides by 7

                                [tex]7\frac{x}{7} = \frac{7(12)}{8}[/tex]

3.- Simplify

                                 x = [tex]\frac{84}{8}[/tex]

4.- Result

                                x = 10.5 in

Answer:

Step-by-step explanation:

1 foot is 0.3048 meters, so ...

  70 m/s = (70 m/s)×(1 ft)/(0.3048 m) ≈ 229.659 ft/s

At that speed, the distance covered in 20 seconds is ...

  (20 s)(229.659 ft/s) = 4,593.18 ft

The parachutist will fall 4593 feet during 20 seconds of free fall at 229.7 ft per second.

_____

Final answers are rounded. Intermediate values are not.

Answer:

b. 0.027

Step-by-step explanation:

We have been given that the Masterfoods Company says that before the introduction of purple, yellow candies made up 20% of their plain candies, red another 20%, and orange, blue and green each made up 10%.

Probability of a yellow candy would be 0.20 and probability of a red candy would be 0.20.

Probability of orange candy would be 0.10, probability of blue candy would be 0.10 and probability of green candy would be 0.10.

The probability of brown candy would be [tex]1-0.20-0.20-0.10-0.10-0.10=0.30[/tex]

To find the probability that three candies are all Brown, we will use multiplication rule of independent events as:

[tex]0.30\times 0.30\times 0.30=0.027[/tex]

Therefore, the probability that that three candies are Brown would be 0.027 and option 'b' is the correct choice.

The probability that they are all Brown is option b. 0.027.

The probability of brown candy should be

= 1-0.20 -0.20 -0.10 - 0.10-0.10

= 0.30

Now

the probability should be

[tex]= 0.3^3[/tex]

= 0.027

Learn more: https://brainly.com/question/537797?referrer=searchResults

Answer:

umm, my regards, how should I help lol

Answer:

The answer is the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

X= 11/tan17

Where tan17= 3.494

Therefore, X = 3.148

Answer:

There are 8 nickels, and 20 dimes.

Brian has 20 dimes and 8 nickels in his coin box.

Let's make a system of equations to solve this problem. Let's assume the number of dimes is 'x', then the number of nickels would be 'x - 12' since Brian has 12 fewer nickels than dimes.

The value of dimes in cents is 'x * 10', and the value of nickels in cents is '(x - 12) * 5'. We can write the equation: '10x + 5(x - 12) = 240' since the total value is $2.40 or 240 cents.

Simplifying the equation, we get '10x + 5x - 60 = 240'. Combining like terms, we have '15x - 60 = 240'. Adding 60 to both sides, we get '15x = 300'. Dividing both sides by 15, we get 'x = 20'.

Therefore, Brian has 20 dimes and 20 - 12 = 8 nickels.

https://brainly.com/question/14410653

#SPJ2

Answer:

4 cups of lemon juice is required for 12 cups of water to make lemonade.

Step-by-step explanation:

Given:

To make lemonade 1 cup of lemon juice is required with 3 cups of water.

To find how many cups of lemon juice is required with 12 cups of water.

Solution:

We will construct a double number line of which one represents the cups of lemon juice and the other represents the cups of water.

From the number lines we can see that with 1 cup of lemon juice there are 3 cups of water.

So, ratio of cups of lemon juice to cups of water = 1 : 3

If we require [tex]x[/tex] cups of lemon juice with 12 cups of water then ratio = x : 12

Since ratio will always be equivalent, so we can write it as:

[tex]\frac{x}{12}=\frac{1}{3}[/tex]

Multiplying both sides by 12.

[tex]12.\frac{x}{12}=12\times\frac{1}{3}[/tex]

∴ [tex]x=4[/tex]

Thus, 4 cups of lemon juice is required for 12 cups of water to make lemonade.

Answer: the company now have 531 employees.

Step-by-step explanation:

The initial number of employees that the company had was 450.

The company began a new project line and must increase their number of employees by 18% . it means that the number of new employees that the company employed would be

18/100 × 450 = 0.18 × 450 = 81

Therefore, the total number of employees that the company have now would be

450 + 81 = 531

Answer:

[tex]x^{\frac{1}{5} } = \sqrt[5]{x}[/tex]

Step-by-step explanation:

A radical expression is an expression with a variable, number, or combination of both of them under a root symbol.

A radical expression has a general form of [tex]\sqrt[n]{x}[/tex]

For the given expression [tex]x^{\frac{1}{5} }[/tex]

So, [tex]x^{\frac{1}{5} } = \sqrt[5]{x}[/tex]

[tex]x^{1/5}[/tex] in radical form is √5x.

To write the expression [tex]x^{1/5}[/tex] in radical form, we use the property of exponents where a fractional exponent represents a root. Specifically, the exponent 1/5 indicates the fifth root of the base.

Here are the steps:

Therefore, the radical form of [tex]x^{1/5}[/tex] is √5x.

Answer: P(Upper E' prime) = 0.06

Step-by-step explanation:

Not happen:P(Upper E prime) = 0.94

Happen: P(Upper E' prime) = ?

P(Upper E' prime) + P(Upper E' prime) = 1

Therefore

P(Upper E' prime) + 0.94= 1

P(Upper E' prime) =1- 0.94

P(Upper E' prime) = 0.06

Answer:

the top of the ladder is 27.5ft above the ground.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance from the base of the wall to the foot of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine how high up is the top of the ladder on the wall, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

28² = x² + 5²

784 = x² + 25

x² = 784 - 25 = 759

x = √759 = 27.5ft

Using the Pythagorean theorem, the ladder reaches approximately 27.5 feet up the wall when the base is 5 feet from the wall.

The question involves finding the height up a wall that a 28ft ladder reaches when its base is 5ft from the wall. To solve this, we will use the Pythagorean theorem which relates the sides of a right-angled triangle. The ladder, wall, and ground form a right-angled triangle with the ladder as the hypotenuse and the wall and ground as the other two sides.

Let h be the height the ladder reaches up the wall. Using the Pythagorean theorem, we have:

28² = h² + 5²

Solving for h:

28² - 5² = h²


784 - 25 = h²

759 = h²

h ≈ √759

h ≈ 27.5 (to the nearest tenth)

Therefore, the ladder reaches approximately 27.5 feet up the wall.

Final answer:

The statement forms p → q ∨ r, p ∧ ¬q → r, and p ∧ ¬r → q are shown to be logically equivalent using principles of logical equivalence and contraposition. The original statement 'If n is prime, then n is odd or n is 2' can thus be rephrased in different ways while retaining the same meaning.

Explanation:

Logical Equivalences

To show that the statement forms p → q ∨ r, p ∧ ¬q → r, and p ∧ ¬r → q are all logically equivalent, we need to understand that logical equivalence means that the statements have the same truth value in every possible scenario. The implication p → q is equivalent to p∨ q, as a truth table would confirm. Likewise, by using the principle of contraposition, which states that p → q is equivalent to ¬q → ¬p, we can transform the given implications accordingly.

Considering the sentence "If n is prime, then n is odd or n is 2" and denoting p as "n is prime", q as "n is odd", and r as "n is 2", the original statement can be represented as p → q ∨ r. Using logical equivalences established earlier, two different ways to rewrite this sentence could be:

The logical equivalences show that all these forms express the same condition from different perspectives but with the same meaning.

Answer:

3, -2

Step-by-step explanation:

Answer:

From the sample of n= 200 people,

The proportion of people with kids is:

p'= 110/200= 0.55

The confidence interval for population proportion is given by:

[tex]p' - Z_{\alpha /2} \sqrt[]{\frac{p'(1-p')}{n} } } \leq P\leq p' + Z_{\alpha /2}\sqrt[]{\frac{p'(1-p')}{n} } }[/tex]

[tex]= p' - Z_{\alpha /2} \sqrt[]{\frac{0.55(0.45)}{200} } } \leq P \le p' + Z_{\alpha /2} \sqrt[]{\frac{0.55(0.45)}{200} } }[/tex]

[tex]= p' - Z_{\alpha /2} 0.0352} } } \leq P\le p' + Z_{\alpha /2} 0.0352} }[/tex]

Where P is the population proportion and Z is the critical value at a given level of significance α.

Answer: the investment would be

$110.45

Step-by-step explanation:

Initial amount deposited into the account is $100 This means that the principal is

P = 100

It was compounded quarterly. This means that it was compounded 4 times in a year. So

n = 4

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 100 (1+0.05/4)^4×2

A = 100 (1.0125)^8

A = $110.45