How many squares with side length 1/4 inch will fit into 1 square inch?
How many squares with side length 1/4 inch will fit into 1 square inch?
A) 1
B) 16
C) 4
D) 25
Answers
C is the answer.
The number of squares with side length 1/4 inch that would fit into a 1-square inch is 4
A square to a four-sided quadrilateral that has four equal sides. A square has four right angles. The sum of angles in a square add up to 360 degrees.
Area of a square = length²
Perimeter of a square = 4 x length
In order to determine how many squares would fit into the a 1 inch square, divide the length of the square by the 1/4
Number of squares = 1 ÷ 1 / 4
1 x 4 = 4 squares
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Related Questions
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Answers
48 miles per hours
Can a system of equations have more than one solution
Answers
Find the measure of the third angle of a triangle given the measure of two angles are 63º and 22º.
A. 75°
B. 85°
C. 95°
D. 105°
Answers
x=180-63-22
x=95°
Answer:
The answer C
Step-by-step explanation:
Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
OPTIONS:
r = 1/2, a sub n = -16 (1/2) to the power of n-1
r = −2, an = −16(−2)n − 1
r = 2, an = −16(2)n − 1
r = -1/2, a sub n = -16 (-1/2) to the power of n-1
Answers
To find the common ratio and general term equation of the geometric sequence, we analyze the given graph and use the formula for the general term of a geometric sequence. By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
Explanation:
To determine the common ratio and general term equation of the geometric sequence, we can examine the given graph.
From the graph, we can see that the first term is -16. Let's identify two points on the graph that correspond to consecutive terms. We can choose the points (-1, -8) and (-2, -16) as the graph passes through these points.
Using the formula for the general term of a geometric sequence, an = a1(r)^(n-1), we can substitute the given values (-16, r) and (-8, r^2) to find the common ratio and the general term equation.
By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
Find the value of y so that r⎹⎹ s A. 32 B. 56 C. 64 D. 124 please help
Answers
Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ(x) = 2x3 – 9x2 + 13x – 6.
Answers
If x+1 is a factor, x=-1 would be one of the zeros.
Plug x=-1 in the polynomial to see it is results in a 0:
2(-1)^3-9(-1)^2+13(-1)-6=-30≠0, therefore, x+1 is not a factor.
x+1 is not a factor of f(x).
What is factor theorem?A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one. A polynomial f(x) has a factor (x-a), as was mentioned in the introduction, if and only if f(a) = 0.
Given:
ƒ(x) = 2x³ – 9x² + 13x – 6.
if x+1 is factor of 2x³ – 9x² + 13x – 6.
So, x= -1.
Then, 2x³ – 9x² + 13x – 6.
f(-1) = 2(-1)³ – 9(-1)² + 13(-1) – 6.
f(-1)= -2 - 9 - 13 - 6
f(-1) = -33.
Hence, x+1 is not a factor of f(x).
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One leg of a right triangle is 3 millimeters longer than the shorter leg and the hypotenuse is 6 millimeters longer than the shorter leg. find the lengths of the sides of the triangle.
Answers
x^2 +(x+3)^2 =(x+6)^2
x^2 + x^2 + 6x +9=x^2 + 12x +36
x^2-6x-27=0
(x+3)(3-9)=0
x=-3, which is impossible, or x=9
so the shorter leg is 9mm, the longer leg is 12mm, and the hypotenuse is 15mm
Using the Pythagorean theorem and defining the shorter leg as 'x', we solve the equation x² + (x + 3)mm² = (x + 6)mm² to find that the shorter leg is 9 mm, the longer leg is 12 mm, and the hypotenuse is 15 mm.
Explanation:To solve for the lengths of the sides of a right triangle when given the difference in length between the legs and the hypotenuse, we can use the Pythagorean theorem, which states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship is a² + b² = c².
Let's define the length of the shorter leg as 'x'. According to the problem, the other leg is 'x + 3 mm' (3 millimeters longer than the shorter leg), and the hypotenuse is 'x + 6 mm' (6 millimeters longer than the shorter leg).
Applying the Pythagorean theorem, we get the equation:
x² + (x + 3)mm² = (x + 6)mm²
Expanding the squares and solving for 'x', we get:
x² + x² + 6x + 9 = x² + 12x + 36Combining like terms and simplifying gives us:x² - 6x - 27 = 0Factoring the quadratic equation, we find that (x - 9)(x + 3) = 0Since the length cannot be negative, we discard the negative solution and left with 'x = 9 mm'This means the shorter leg is 9 mm, the longer leg is 9 mm + 3 mm = 12 mm, and the hypotenuse is 9 mm + 6 mm = 15 mm.
A bank sends its customers an e-mail when their accounts fall below -$10. Which inequality models this situation? A) a<-10 B) a>-10 C) a≥-10 D) a≤-10
Answers
Answer:
<−10
Step-by-step explanation:
The ratio 5/10 is in simplest form
Answers
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.
Answers
Answers are 2, 3, and 4 on e d g e n u i t y
Seven times a number minus the number is -48. Find the number.
A.)the number is -8
B.)the number is 8
C.)the number is 6
Answers
(step by step)
Do multiplication first. 7 * -8 = -56
Now subtraction. -56 - (-8) = -48
Hope this helped! ☺♥
Suppose a right cylinder was bent into a U-shape and was compared to another right cylinder. What can be said about their volumes?
Answers
Answer:
The volume of the U-shape will be half the volume of the original right cylinder.
Step-by-step explanation:
If we are given a right cylinder and it was bent into a U shaped then this U-shaped figure could also be considered as a half cylinder.
We could see from the figure attached how this shape looks like.
and now the volume of this half cylinder will be half the volume of the actual right cylinder.
Answer:
B) There is not enough information to tell since they are not between parallel planes.
Step-by-step explanation:
In order for Cavalieri's principle to be true, both cylinders must have the same cross section. They may or may not. The requirement of being between parallel planes was broken. Therefore -- There is not enough information to tell since they are not between parallel planes
4= square root of (-6-2x) plus square root of (31-3x)
Answers
Original equation
4 = √-6-2x+√31-3x
Isolate
-√-6-2x = -4+√31-3x
Tidy up
√-6-2x = 4-√31-3x
Raise both sides to the second power
(√-6-2x)2 = (4-√31-3x)2
After squaring
-6-2x = 31-3x+16-8√31-3x
Current equation
-6-2x = 31-3x+16-8√31-3x
Isolate radical on the left hand side
8√31-3x = 6+2x+31-3x+16
Tidy up
8√31-3x = 53-x
Raise both sides to the second power
(8√31-3x)2 = (53-x)2
After squaring
1984-192x = x2-106x+2809
Rearranged equation
x2 + 86x + 825 = 0
This equation has two rational roots:
{x1, x2}={-11, -75}
Original equation, root isolated, after tidy up
√-6-2x = 4-√31-3x
Plug in -11 for x
√-6-2•(-11) = 4-√31-3•(-11)
Simplify
√16 = -4
Solution does not check
4 ≠ -4
Original equation, root isolated, after tidy up
√-6-2x = 4-√31-3x
Plug in -75 for x
√-6-2•(-75) = 4-√31-3•(-75)
Simplify
√144 = -12
Solution does not check
12 ≠ -12
Hopefully this helped You
does 4+3n2 has four term
Answers
simplify 1,000^8=10^w
Answers
What you can do it multiply 8 by 3 (Since there is 3 zeros). You will get w=24
The value of [tex]w[/tex] is [tex]24[/tex].
Given:
The equation is:
[tex]1000^8=10^w[/tex]
To find:
The value of [tex]w[/tex].
Explanation:
We have,
[tex]1000^8=10^w[/tex]
[tex](10^3)^8=10^w[/tex]
[tex]10^{24}=10^w[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents of the same bases, we get
[tex]24=w[/tex]
Therefore, the value of [tex]w[/tex] is [tex]24[/tex].
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Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x^2-10. Find the value of x, and the appropriate measure of angle MNQ
Answers
Because ray NP bisects ∠MNQ, therefore
∠MNP = ∠PNQ = 2x + 1.
Therefore
∠MNQ = 2*∠PNQ = 2(2x + 1) = 4x + 2.
Because ∠MNQ is given as x² - 10, therefore
x² - 10 = 4x + 2
x² - 4x - 12 = 0
(x + 2 )(x - 6) = 0
x = -2, or x = 6
When x = -2,
∠MNQ = 4*(-2) + 2 = -6°
This answer is not acceptablle, therefore x = -2 should be rejected.
When x = 6,
∠MNQ = 4*6 + 2 = 26°
Answer: x = 6, and ∠MNQ = 26°
To find the measure of angle MNQ, we can set up an equation using the fact that ray NP is an angle bisector. Solving the equation gives us the value of x, and substituting that value back into the equation gives us the measure of angle MNQ.
Explanation:To find the measure of angle MNQ, we can use the fact that ray NP is an angle bisector of angle MNQ. This means that angle PNQ is half of angle MNQ.
We are given that angle PNQ = 2x + 1, so we can set up the equation 2x + 1 = (1/2)(x^2 - 10) to find the value of x.
Solving this equation, we get x = 5. Therefore, the measure of angle MNQ is 5^2 - 10 = 15 degrees.
How is the graph y=7x^2+4 different from the graph of y=7x^2
Answers
Have an awesome day! :)
From your friendly Helper-in-Training, collinjun0827
What is the rate of change for y=9x + 4?
Answers
Final answer:
The rate of change for the equation y=9x+4 is 9, representing a constant slope where for every unit increase in x, y increases by 9 units.
Explanation:
The rate of change in the linear equation y=9x + 4 is the coefficient of the x term, which represents the slope of the line. In this case, the rate of change is 9. This means that for every one unit increase in x, the value of y increases by 9 units. Since this is a linear equation, the rate of change is constant, meaning it does not change regardless of the value of x.
Find the value of x. Round the length to the nearest tenth.
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answers
35 squared +12 squared = 1369
[tex]\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } [/tex],
where the "opposite side" means the opposite side to angle with measure [tex]35^o[/tex], and "adjacent side" means the adjacent side to angle with measure [tex]35^o[/tex].
[tex]tan(35^o)[/tex] is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives [tex]tan(35^o)=0.7[/tex]
Thus, back in the equation [tex]\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } [/tex] we substitute as follows and solve:
[tex]\displaystyle{0.7= \frac{x }{12 }\\\\[/tex]
[tex]x=0.7\cdot12=8.4[/tex]
Answer: 8.4 cm
Andre and Sally are playing a number game. Andre tells Sally, "I'm thinking of a number between 1 and 20. If I take the number and add 5, and then subtract 3, I get 19." What number is Andre thinking of?
Answers
Find the sales price of the following item.
A toaster originally costing $39.99, marked down $8.50.
4.70
31.49
48.49
339.92
Answers
Answer:
The sales price is $31.49
Step-by-step explanation:
If the toaster has a marked down of $8.50 means that is a discount and you need to subtract this value from the originally costing, as follows:
Sales price = Original cost - Discount value
Sales price = [tex]39.99-8.50[/tex]
Finally, the sales price is $31.49
Why is it that the limit as x approaches zero of sin3x all over x is 3?
Answers
The limit as x approaches zero of sin3x all over x is indeed 3.
Below is a step by step display of how to derive this answer.
What is the length of a rectangle if the perimeter is 88 inches and the length is 2 inches more than the width?
Answers
length=l
w+2=l
2(w+l)=88
2(w+w+2)=88
2(2w+2)=88
4w+4=88
4w=84
w=21
21+2=23
The length of a rectangle if the perimeter is 88 inches and the length is 2 inches more than the width is 23.
The length of a rectangle is 33 inches.
What is a rectangle?The rectangle is a 2D shape having four sides and the opposite sides of the rectangle are equal and parallel. The sum of all angles of the rectangle is 360°.
We have,
The perimeter of the rectangle = 88 inches
And,
The length is 2 inches more than the width.
Now, Let,
Width of the rectangle = a
So,
Length of the rectangle = 3a
Now,
Using the formula of the perimeter of the rectangle,
i.e.
The perimeter of the rectangle = 2(Length + Width)
Now,
According to the question,
i.e.
88 = 2( 3a + a)
i.e.
8a = 88
We get,
a = 11,
i.e.
Width of the rectangle = a = 11 inches
So,
Length of the rectangle = 3a = 3 * 11 = 33 inches
Hence, we can say that the length of a rectangle is 33 inches and the width of the rectangle is 11 inches.
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If i am driving 63 miles an hour how long will it take to drive 441 miles
Answers
d / r = t
441 / 63 = 7 hrs <== it will take u 7 hrs to drive 441 miles at 63 mph
63 mi = 1 hour
63 mi / 441 mi = 7
441 mi = 7 hours
Which of the following shows the situation below in function notation??
Answers
Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"
so the time is the dependent variable and the pages are the independent variable.
Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.
Find the Least Common Multiple of these two monomials:
14x^4y^6z^3 and 24x^6y^2z^8
64x^6y^6z^8
2x^4y^2z^3
168x^6y^6z^8
168x^10y^8z^11
Answers
LCM 14 & 24 = 168
then use the highest exponents for the variables
answer = 168x^6y^6z^8
A car rental company at a major airport on an average rents 70 percent of its fleet of 200 cars per day. The cars are rented for an average of 4 days. What is the average number of rentals processed per day?
Answers
To find the average number of car rentals processed per day, we first calculate that 70% of the 200-car fleet equates to 140 cars. Each car is rented for 4 days, so, therefore, the total number of cars rented in four days is 560. Hence, the average daily rentals are 140 cars.
Explanation:To calculate the average number of car rentals processed per day, we need to consider that the company rents 70% of their 200-car fleet daily. That is, 70/100 * 200 = 140 cars.
Since each car is rented for an average of 4 days, each day's rentals represent 1/4 of the number of cars that will be rented over the next four days. Therefore, the total number of cars rented in four days would be divided by 4 to get the daily average. In this case, it's 140 * 4 = 560, and 560 / 4 = 140 car rentals per day.
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A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answers
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\quad \begin{cases} r=radius\\ -----\\ r=5 \end{cases}\implies V=\cfrac{4\pi \cdot 5^3}{3}[/tex]
Answer:
523.33 cubic inches
Step-by-step explanation:
For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's house if you must drive 4.5 hr through the woods at an average of 52 mi/hr to get there?
Answers
d= rt
d=(52)4.5
Then you solve
52*4.5 = 234
So, your distance or d=234
Using the equation for distance, which is the product of rate and time, the distance to Grandmother's house is calculated to be 234 miles.
Explanation:To solve this problem, you can use the given equation
d = rt,
where d stands for distance,
r indicates rate (or speed), and
t is the time.
In the question, the rate is given as 52 mi/hr and the time as 4.5 hr.
Substituting these values into the equation gives:
d = 52 mi/hr * 4.5 hr = 234 mi.
So, Grandmother's house is 234 miles away.
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Ifyou are asked to solve a system ofequations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.