what shows 23^2-17^2 being evaluated using the difference of perfect squares method
If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.
One week, Katie Hopper earned the following commissions: Monday, $124; Tuesday, $88; Wednesday, $62; Thursday, $137; Friday, $195. Find her total amount of commissions for the week
add them together:
124 + 88 + 62 +137 +195 = $606 total
05.02)
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are both right triangles
Yes, because they are similar triangles
Answer:
Yes, because they are similar triangles
Step-by-step explanation:
I got the answer right on the test
Write the equation of the line that passes through the points (-2,3) and (-2,5)
Evaluate 9 y 1 − y 0 9y1−y0 if y=−8 y=−8 .
Answer:
Step-by-step explanation:
What are the amplitude, period, and midline of f(x) = 3 cos(4x − π) + 2?
Answer:
The amplitude of the function is 3, period of the function is [tex]\frac{\pi}{2}[/tex] and midline of the function is 2.
Step-by-step explanation:
The given function is
[tex]f(x)=3\cos(4x-\pi)+2[/tex] .... (1)
The standard form of a Cosine function is
[tex]g(x)=a\cos(bx+c)+d[/tex] ... (2)
where, a is amplitude, period is [tex]\frac{2\pi}{b}[/tex] and d is midline.
From (1) and (2), we get
[tex]a=3,b=4,d=2[/tex]
The amplitude of the function is
[tex]a=3[/tex]
The period of the function is
[tex]\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
The midline of the function is
[tex]d=2[/tex]
Therefore the amplitude of the function is 3, period of the function is [tex]\frac{\pi}{2}[/tex] and midline of the function is 2.
Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10
Jennifer is on a trip and travels a distance of 150 miles. she spends some of her time walking, and some of her time travelling by train. if she spends w hours walking and t hours travelling by train, what is the meaning of 3w in the equation below? 50t + 3w =150
In the equation 50t + 3w = 150, 3w represents the distance Jennifer travels by walking in 3 hours.
Explanation:In the equation 50t + 3w = 150, the term 3w represents the distance Jennifer travels by walking. Since w represents the number of hours she spends walking, 3w represents the distance she walks in 3 hours. This is because the rate of walking is constant, so if Jennifer walks for 1 hour and covers a certain distance, she would walk 3 times that distance in 3 hours.
The length of a rectangle is 2 yd longer than its width. if the perimeter of the rectangle is 24 yd , find its area.
In which quadrant is sin positive and tan positive?
If s is a sequence of consecutive multiples of 3, how many multiples of 9 are there in s? (1) there are 15 terms in s. (2) the greatest term of s is 126.
how much would an 185 astronaut weigh on the moon?
If [tex] 300cm^{2} [/tex]300 cm of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.
Convert 7.2 ⋅ 10–3 to standard form.
72,000
7,200
0.0072
0.00072
0.0072 hope that helped
If BC = 4.5, CD = 7.7, and AD = 16.7, find AB to the nearest tenth.
A. 2.1
B. 28.6
C. 9.8
D. 2.2
When factored, the trinomials x^2-2x-15 and x^2-9x+20 have one binomial factor in common. What is this factor?
1. x-7
2. x+7
3. x-5
4. x+5
HELP PLEASE THANKS:(
In triangle def, FE = 13 and angle f equals 34. Find DF to the nearest tenth.
What is the lateral surface area of the prism below?
1200 in2
2400 in2
1392 in2
2592 in2
Jack is building a deck that is 8 ft by 27.63 ft. He has the base built; he just needs to cover the surface with wood. When he gets to the hardware store he finds sheets of wood that are four ft by eight ft. Use estimation to determine how many sheets of wood he should buy to cover the surface of the deck.
can someone help me with this factoring problem? I forgot how to factor.
Factor completely −3x2 + 6x − 9.
−3(x2 − 2x + 3)
−1(x2 − 6x + 9)
−3x(x2 − 2x + 3)
−3(x2 + 2x − 3)
Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. How much does Micah make over seven years? $567,840 $616,067 $718,710 $718,499
Answer:
b
Step-by-step explanation:
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 3x + 2y = 6 x - y = 2
What is the simplified form of the quantity of x plus 9, all over the quantity of x plus 1 + the quantity of x minus 2, all over 5
the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1
the quantity of x squared plus 7x minus 18, all over 5 times the quantity of x plus 1
the quantity of x squared plus 7x minus 18, all over the quantity of x plus 6
the quantity of x squared plus 4x plus 43, all over the quantity of x plus 6
Answer:
= x^2 + 4x + 43
------------------
5(x + 1)
Step-by-step explanation:
The students in the fourth grade sold 684 erasers for a fund-raiser. They sold 4 times as many erasers as the students in fifth grade. How many erasers did the students in 5 grade sell?
The students in fifth grade sold 171 erasers
How Many Erasers Did the Fifth Grade Students Sell?
The question asks us to find out how many erasers the students in fifth grade sold based on the sales of fourth graders. We are told that the fourth grade students sold 684 erasers and that this number is 4 times the amount sold by the fifth graders. To find the number of erasers sold by the fifth graders, we need to perform a division operation.
Setting up the equation, let x be the number of erasers the fifth-grade students sold. Thus, 4x = 684. To solve for x, we divide both sides of the equation by 4. Therefore, x = 684 / 4 = 171.
So, the students in fifth grade sold 171 erasers for the fund-raiser.
a lab researcher wants to find out whether mice will run through a maze quicker during the day or at night, after training. He has 100 mice available. He randomly assigns 50 of them into ech group. He trains the first group to run the maze ar 9:00am and trains the sevond group to run the maze ar 9:00 pm. Each mouse is trained the same way, and the last 3 years run times are recored. Describe what is being measured in this experiment and what variable is being manipulated?
In this case, since the run times are the one being compared and recorded, therefore the data being measured in the experiment is the run times.
The difference of the two groups of mice is the time of the day that the mice run, day or night. Therefore the variable being manipulated is the time of the day.
Which system of inequalities is represented by the graph?
y ≤ –1/2x
y > –1
y ≥ –1/2x
y < –1
y < –1/2x
y ≥ –1
y > –1/2x
y ≤ –1
the answer is D)y ≥ 2x
y > 1
on ed
just took the test
The area (A) of a circle with a radius of r is given by the formula A=pier^2 and its diameter (d) is given by d=2r. Arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.
Final answer:
The diameter d of a circle can be expressed in terms of the area A by first solving the area formula A = πr^2 for r, giving r = √(A/π), and then substituting r into the diameter formula d = 2r, resulting in d = 2√(A/π).
Explanation:
To rewrite the formula for the diameter of a circle in terms of the area, we start with the given formula for area A = πr^2 and the equation for diameter d = 2r. Our aim is to express the diameter d solely in terms of the area A. To achieve this, we rearrange the area formula to solve for the radius r:
A = πr^2r^2 = A/πr = √(A/π)Then, we substitute r into the diameter formula:
d = 2rd = 2√(A/π)Thus, the diameter d can be expressed in terms of the area A as d = 2√(A/π).
to the nearest whole degree, what angle measure has a sine of .9762