Hi there!
My name is Chris and I'll be helping you today!
So your question states that a boat departed the port at 36.8 km/h.
After 1.75 hours, a second boat emerges from the port.
After 1.8 hours, the second boat is 86.9 km away from the first boat.
Also, remember that speed equals distance over time.
Therefore, your answer will be: The speed boat's speed in km/h was 24.3 km/h. Forgive me if I am incorrect.
Enjoy your day!
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?
A ) f(x) = (x - 1)(x + 1)^11
B ) f(x) = (x + 2)^3(x^2 -7x +3)^4
C ) f(x) = (x^5 + 7x + 14)^6
D ) f(x) = 11x^5 + 5x + 25
I originally chose A, but that was incorrect on my quiz.
Answer:
The correct answer is B
Step-by-step explanation:
Select the quadratic that has roots x=8 and x=-5
Answer:
Quadratic equation: [tex]x^2-3x-40=0[/tex]
Step-by-step explanation:
We are given two roots of the quadratic equation and we need to find the quadratic equation.
If roots are a and b then equation
[tex]x^2-(\text{sum of roots})x+\text{Product of root}=0[/tex]
Roots are x=8 and x=-5
Sum of roots = 8 + (- 5) = 3
Product of roots = 8 x -5 = -40
Substitute the value into formula
Quadratic equation:
[tex]x^2-3x-40=0[/tex]
In factor form:
[tex](x-8)(x+5)=0[/tex]
Hence, The equation is [tex]x^2-3x-40=0[/tex]
What is the area of a sector with a central angle of 4pi/3 radians and a radius of 11cm
Use 3.14 for pi and round to the nearest hundredth
m ∠ U = (2x−5)° and m ∠W = (x+38)°What is m ∠W?
Question 1 options:
49°
180°
87°
90°
A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. How do you find the length and width of the smaller and larger wall?
We need to visualize the box by using a diagram attached with this problem.
[tex] Length = 14 \; feet [/tex]
[tex] Width = 20 \; feet [/tex]
[tex] Height = 8 \; feet [/tex]
The blue is smaller rectangle and brown is the larger rectangle
Conclusion:
Length of smaller wall (in blue color) is 14 feet
Width of smaller wall (in blue color) is 8 feet
Length of Larger wall (in brown color) is 20 feet
Width of the Larger wall (in brown color) is 8 feet
Can you solve the measure of an angle is twenty-nine times the measure of a supplementary angle. what is the measure of each angle
10 POINTS AND BRAINLIEST FOR CORRECT ANSWER!
A rectangle is inscribed in a square so that each vertex of the rectangle is located on one side of the square, and the sides of the rectangle are parallel to the diagonals of the square. Suppose that one side of the rectangle is twice the length of the other and that the diagonal of the square is 12 meters long. Find the sides of the rectangle.
9514 1404 393
Answer:
The sides of the rectangle are 4 and 8 meters long.
Explanation:
Please consider the attached figure. Both the rectangle and the square are symmetrical about the x- and y-axes, so we only need to consider the corner of the rectangle in one quadrant.
If the rectangle is twice as long as wide, then the distance of the corner to one axis (we chose y) will be twice the distance to the other axis. The locus of points for which that is true is the line with slope 1/2. The corner of the rectangle will be on that line.
If the corner of the rectangle is also on the square, then it will be located at the point of intersection of the line with slope 1/2 and the line representing the edge of the square. That point of intersection is the point (4, 2) on this graph. That is, half the length of the rectangle is 4 m, and half the width is 2 m. This indicates the sides of the rectangle are 8 m and 4 m in length.
__
The diagonals of the square are 12 m long, so orienting the square the way we have makes the x- and y-intercepts 6 units from the origin in each quadrant.
Answer:
Step-by-step explanation:
four and eight, use soh cah toa
Let f(x)=√x find g(x), the function that is f(x) shifted up 1 units and left 5 units.
Rylie's gross paycheck amount is $1305.60. She has 4% deducted from her paychecks for her 401(k). Her employer matches her deduction, up to 4%.
How mach is deducted from her paycheck for retirement plan?
A) $26.11
B) $52.22
C) $104.44
D) $522.24
The deduction from her paycheck is 52 dollars and 22 cents. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rylie's gross paycheck amount is $1305.60. She has 4% deducted from her paychecks for her 401(k). Her employer matches her deduction, up to 4%.
So the deduction will be given as
[tex]\rm Deduction = \dfrac{4}{100} *1305.6\\\\Deduction = 0.04 * 1305.6\\\\Deduction = 52.224 \approx 52.22[/tex]
The deduction from her paycheck is 52 dollars and 22 cents. Then the correct option is B.
More about the percentage link is given below.
https://brainly.com/question/8011401
(HURRY!!! GET 24 PTS) The residential colony has a population of 5400 requires 60 liters of water is per person per day. For the effective utilization of rain water, a group of people decided for WATER HARVESTING. They constructed a water reservoir measuring 49mx27mx25m to collect the rain water. It this water reservoirs is full of water then for how many days it will last for the colony?
what he said hope it helped
Step-by-step explanation:
What is the measure of AC ? Enter your answer in the box. ° Circle with inscribed angle A B C. Angle A B C is 3 x minus 1.5 degrees. The intercepted arc A C is 3 x plus 9 degrees.
Use the Inscribed Angle theorem to get the measure of AC. The intercepted arc AC is [tex]21^{\circ}[/tex].
Given,
The inscribed angle [tex]\angle ABC[/tex] is [tex]3x-1.5[/tex].
And the Intercepted arc AC is [tex]3x+9[/tex].
What is the Inscribed Angle theorem?We know that, Inscribed Angle Theorem stated that the measure of an inscribed angle is half the measure of the intercepted arc.
So,
[tex]3x-1.5=\frac{1}{2} (3x+9)[/tex]
[tex]2 (3x-1.5)=3x+9[/tex]
[tex]6x-3.0=3x+9[/tex]
[tex]6x-3x=9+3[/tex]
[tex]3x=12\\x=4[/tex]
Since the intercepted arc AC is [tex]3x+9[/tex], putting the value of [tex]x=4[/tex] we get,
intercepted arc AC is [tex]21^{\circ}[/tex].
Hence the intercepted arc AC is [tex]21^{\circ}[/tex].
For more details on the Inscribed Angle theorem follow the link:
https://brainly.com/question/5436956
how many triangles have the following measurements? A=38, a=432, b=382
Using the Law of Sines, we determined that it is possible to form one triangle with the given measurements A=38°, a=432, and b=382. The calculation includes finding angle B and angle C, ensuring all triangle conditions are met.
To determine how many triangles can have the given measurements (A=38°, a=432, b=382), we need to check if these values satisfy the triangle inequalities and if they can form a possible triangle using the Law of Sines.
First, let's use the Law of Sines which states that:
sin(A)/a = sin(B)/b = sin(C)/c
Given:
A = 38° (angle)a = 432 (side opposite to angle A)b = 382 (side opposite to angle B)We can calculate angle B using:
sin(B) = (b × sin(A)) / a
sin(B) = (382 × sin(38°)) / 432 ≈ 0.556
Finding the arc sine of 0.556, we get:
B ≈ 33.8°
Now, we find angle C:
C = 180° - A - B ≈ 180° - 38° - 33.8° = 108.2°
Using the Law of Sines again to find side c:
c = (a × sin(C)) / sin(A)
c = (432 × sin(108.2°)) / sin(38°) ≈ 676.85
Thus, it's possible to form one such triangle with the given conditions.
can anyone give an explanation and answer to this question,my sister needed help on this also :) Thank you again for taking your time to answer and read this <3
what is the circumference of a circular pond with a radius of 14 meters?
a taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. the rule c=0.20m + 2.00 describe the relationship between the number of miles m and the total cost of the ride c.
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit? The inequality that will determine the number of items that need to be sold to make a profit is ? The solution to the inequality is ? The company must sell at least? items to make a profit.
Using the profit concept, it is found that:
The inequality is: [tex]1.7x - 179.6 > 0[/tex]The solution is [tex]x > 105.6[/tex]The company must sell at least 106 items to make a profit.Profit is revenue subtracted by operations costs, that is:
[tex]P(x) = R(x) - C(x)[/tex]
In this problem, the functions are:
[tex]R(x) = 7.5x - 100[/tex]
[tex]C(s) = 79.6 + 5.8x[/tex]
Thus, the profit function is:
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 7.5x - 100 - 79.6 - 5.8x[/tex]
[tex]P(x) = 1.7x - 179.6[/tex]
It makes a profit if:
[tex]P(x) > 0[/tex]
Thus, the inequality is:
[tex]1.7x - 179.6 > 0[/tex]
The solution is:
[tex]1.7x > 179.6[/tex]
[tex]x > \frac{179.6}{1.7}[/tex]
[tex]x > 105.6[/tex]
Thus, the company must sell at least 106 items to make a profit.
A similar problem is given at https://brainly.com/question/24373628
glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
1.2
1.5
3.6
13.3
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the glacier is moving at a rate of 0.3 inches every hour. It means the average rate of change is 0.3.
Let d is the total moved distance of glacier and t is number of hours. Then the total moved distance of glacier after t hours is defined as
[tex]d=0.3t[/tex]
At t=1,
[tex]d=0.3(1)=0.3[/tex]
At t=2,
[tex]d=0.3(2)=0.6[/tex]
At t=3,
[tex]d=0.3(3)=0.9[/tex]
At t=4,
[tex]d=0.3(4)=1.2[/tex]
Total moved distance of glacier after 4 hours is 1.2 inches.
The value of x is 1.2. Therefore the correct option is 1.
What is the x-coordinate for the minimum point in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π?
Hannah has $1000 in her savings account. During 1 month , she withdraws $25. Each successive month, she withdraws $10 more than the previous month . How much remains in her savings account after 10 months ?
Answer: A-$300 is correct
675,360.41 in expanded notation
The expanded notation of 675,360.41 is 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
How to rewrite the number?The number is given as:
Number = 675,360.41
Express the numbers using their place values
Number = 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
The above expression represents the expanded notation
Hence, the expanded notation of 675,360.41 is 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
Read more about expanded notation at:
https://brainly.com/question/567952
What is the value of x in the quadrilateral shown below?
A. 80°
B. 70°
C. 60°
What's the difference between residential heating and cooling systems and commercial/industrial heating, cooling, or refrigerating facilities? A. The amount of energy the building or facility uses B. The location of the system—in a home or a business C. The number of people that occupy the building or facility D. The size of the building or facility
Please help! The question is attached. And also I know the numbers on the triangle are blurry. The number on the long bottom of the triangle is 24, the one in the corner of the bottom of the triangle is 90 degrees, the side length is 18, and the diagonal angle is 26.
What is the approximate area of the circle shown below 3.5cm
Answer:
D. 38.5 cm²
Step-by-step explanation:
The area of a circle is given by:
A = πr²
where r is the radius of the circle.
From the given figure,
Radius of the circle is r = 3.5 cm.
Therefore, the area of the circle is:
⇒A = 3.14 × (3.5 cm)² = 38.5 cm²
Thus, the correct option is D.
Which graph correctly solves the system of equations below? y = x2 + 2x + 3 y = −x2 + 3
Answer:
Graphs are attached for both solutions.
Step-by-step explanation:
Using a graphing calculator, we can graph both equations and then find the solutions.
The solutions to the system of equations will be the points of intersection of the graphs. There are two points of intersection, so there are two solutions. One of them is at (0, 3); the other is at (-1, 2).
If the radius of a circle is 18 yd, then the diameter of the circle is 9 yd
TRUE OR FALSE
Answer:
Step-by-step explanation: False.
Suppose f and g are continuous functions such that g(3) = 6 and lim x → 3 [3f(x) + f(x)g(x)] = 54. find f(3).
When f and g are continuous functions such that g(3) = 6 and lim x → 3 [3f(x) + f(x)g(x)] = 54 the value of f(3) is 6.
Rewrite the given limit as: lim x→3 [3f(x) + f(x)g(x)] = lim x→3 [3f(x)] + lim x→3 [f(x)g(x)]
Substitute the limits using continuity: 54 = 3 lim x→3 f(x) + lim x→3 f(x) ⋅ lim x→3 g(x) 54 = 3f(3) + f(3) ⋅ 6 (since lim x→3 f(x) = f(3) and lim x→3 g(x) = 6)
Combine like terms: 54 = 9f(3)
Divide both sides by 9: f(3) = 6
Therefore, f(3) = 6.
What is the solution of the system?
{ 2x+y=15
{x−y=3
Enter your answer in the boxes.
(__ ,__ )
a car travels 450 miles in the same time that a motorcycle travels 390 miles. if the car’s speed is 10 miles per hour more than the motorcycle’s, find the speed of the car and the speed of the motorcycle.
the speed of the motorcycle is ___ mph.
the speed of the car is ___ mph
Tara and julia run a race. Julia takes 42 seconds to run the race. She is 7 seconds faster than Tara. How many seconds does Tara take?
Sara left home and drove East 12 miles to Bakersville for her friends birthday cake then she drove 10 miles south to a friends house how far apart is Sarah's friends house and Sarah's house