Answer:
4 miles per hour
Step-by-step explanation:
Simply set up a ratio to solve this:
[tex]\frac{32}{8} = \frac{x}{1}[/tex]
32 = 8x
x = 4, So 4 mph
Answer:
4 miles per hour.
Step-by-step explanation:
First, it would help if you wrote the rate as a fraction to help you compare side by side as so..
[tex]\frac{32}{8}[/tex] [tex]\frac{x}{1}[/tex]
Now we can easily see the two things that we are comparing. Let's take a moment to look at the denominators. The difference between 8 and 1 is that 8 was divided by 8 to get one, so lets try that with numerator. Let's divide 32 by 8. When dividing 32 by 8 we get an answer of 4. With this being said we can now replace [tex]x[/tex] with 4.
[tex]\frac{32}{8}[/tex] [tex]\frac{4}{1}[/tex]
Now we can easily see that at this rate it would be 4 miles per hour.
Find the area of the figure.
A rectangle topped by a triangle. The rectangle has length 6 yards and width 4 yards. The triangle has side lengths 3 yards and 4 yards.
a.
48 sq. yd
b.
60 sq. yd
c.
30 sq. yd
d.
42 sq. yd
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Step-by-step explanation:
14. All phone numbers consist of a three-digit area code, a three-digit exchange, and then a four-digit number. A town uses the 587 area code and the exchange 355; for example, 587-355-1234. How many different phone numbers are possible in this town under the following
conditions?
a) At least one digit repeats in the last four digits of the phone number.
ANSWER
9000
= 1 X 1 X 9 X 10 3 = 9000
You invest $5000 into an account earning 4% interest compounded quarterly. Write an
equation to represent the amount of money you will have in your account after 8 years?
Answer:
A (in $USD) = 5,000(1 + .04/4)^4(8)
A = 5000(1 + 0.01)^32
A = 5000(1.01)^32
A = 5000(1.37494068)
A ≈ 6874.7034
A = $6875 or $6875.7 (depending on rounding requirement)
Step-by-step explanation:
Compound Interest Formula
A = P(1+ r/n)^n(t)
A is the amount in the account after t yearsP is the principal (original amount invested)r is the annual rate, expressed as a decimaln the number of times the interest is calculated a year*t is the number of years*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.
Replace ? with =, >, or < to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2
Answer:
>
Step-by-step explanation:
On the left side, we divide first: 12/4=3
On the left side, we get 3+13, which equals 16.
On the right side, we also divide first: 22/2=11
On the right side, we get 11+2, which equals 13.
We know that 16 is larger than 13, so
12 ÷ 4 + 13 > 2 + 22 ÷ 2
Hope this helps!
Answer:
>
Step-by-step explanation:
A)x 1/9
B)x 1/6
C)x^6
D) x^9
Please explain in simple terms how you would solve this please!!
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!
how many eights are in 4 3/8
Help needed please!
Answer:
equilateral triangle is GHK,
the 2 isosceles triangles is GKJ and KHJ
scalene triangle is GHJ
Step-by-step explanation:
HELP ASAP!!(WILL GIVE BRAINIEST) (Make sure to say where to plot the dots and explain why)
Answer:
The y-intercept is (0,0) the slope is -1/3
Step-by-step explanation:
The y-intercept is the point where the line intercepts with the y-axis. The slope is rise over run. It's equation is y2-y1/x2-x1. The points I used are (-3,1) and (3,-1). This makes -1-1/-3-3=2/6 which is equivalent to -1/3.
Answer:
Slope -> -1/3
y intercept -> 0
Step-by-step explanation:
Well this is actually very simple.
We have to find the y intercept and slope that’s it.
and we know that the y intercept it’s the point the line touches the y axis and that slope is how far away points are from each other on a line.
So looking at the graph the y intercept is 0, located at (0,0) or the origin.
And so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
Sk we need 2 points for this, we can use (0,0) and (3,-1)
So -1 is y2 and 0 is y1 and -1 - 0 is -1.
And now 3-0 is 3.
So the slope is -1/3.
The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
temperature is considered abnormal if it is more than 1.5 degrees above or below that.
Write the absolute value inequality that represents this.
HELP PLEASE!!! I need your guys help on this question.
Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
Answer:
The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²
The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Step-by-step explanation:
First trapezoid (left):
Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.
a = 7
b = 13
h = [tex]\sqrt{55}[/tex] ([tex]3^{2}+h^{2} = 8^{2}[/tex])
Plug into the equation:
[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]
A = [tex]10\sqrt{55}[/tex] or ≈74.2m²
Second trapezoid (right):
Not a normal trapezoid (split into a triangle and a square)
Let's solve for the triangle first:
using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6
because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]
Now we can calculate the area of the figure:
Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]
Rectangle is 6 * 9 = 54
Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
The sum of the lengths of two sides of a triangle must be greater than the third side. The sides of a triangle measure x cm, 12 cm, and 10 cm. Which inequality can be used to represent the possible values of x?
x + 12 greater-than 10
x + 12 less-than 10
x + 12 greater-than 12
x + 12 less-than 12
Answer:
x+12 greater than 10
Step-by-step explanation:
Given
sides of a triangle measure x cm, 12 cm, and 10 cm
In the solution sum of two sides taken is side with length x and 12
using the concept given
sum of the lengths of two sides of a triangle must be greater than the third side.
sum of two sides with x cm and 12 cm = x+12
third side is 10cm
according to concept
x+12 should be greater than 10
x+12 greater than 10
Thus, correct option is first one x+12 greater than 10.
Answer:
a
Step-by-step explanation:
I WILL GIVE 30 to 40 POINTS!! Hey guys. I'm new to this math unit and the person teaching me this doesn't explain well. So can someone tell me all about the Pythagorean Theorem? And please be detailed.
Answer:
Step-by-step explanation:
The Pythagorean Theorem is incredibly useful. It states that [tex]a^{2} +b^{2} =c^{2}[/tex](Refer to the image labeled diagram 1). C is the hypotenuse of the triangle, or the longest side. It is always opposite of the right angle in the triangle. a and b are the other two sides, in no specific order. I attached 2 examples.
Hope it helps <3
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
40 cm
Step-by-step explanation:
the 414cm2 is eso they
b) Calculate the value of y when x=0.1
Answer:
this question is incorrect
Is this question incorrect ? Have u definitely put the correct question you have been asked ?
PLEASE ANSWER ASAPPPPPP! What is the quotient of 6 and -1/2.
Answer:
-12
Step-by-step explanation:
6 ÷ -1/2
Copy dot flip
6 * -2/1
-12
Which function is the result of vertically shrinking ƒ(x) = 2(x + 3)2 by a factor of ½ and reflecting it across the x-axis?
Question 7 options:
A)
y = (x + 3)2
B)
y = –½(x + 3)2
C)
y = –(x + 3)2
D)
y = ½(x + 3)2
Answer:
C) y = -(x + 3)2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):
[tex]y = (1/2) * 2(x + 3)^2[/tex]
[tex]y = (x + 3)^2[/tex]
Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):
[tex]y = -(x + 3)^2[/tex]
So the correct option is C)
Find the equation of the line
Answer: y = -6x + 5
Step-by-step explanation:
equastion is y = dx + e
+) Because it perpendicular y = \dfrac{1}{6} x + 3
d \times \dfrac{1}{6} = -1
<=> d = -1 : \dfrac{1}{6}
<=> d = -6
=> y = -6x + e;
+) Because it contains the point (-3; 23)
=> 23 = -6 \times (-3) + e
<=> e = 5
=> y = -6x + 5
Which of the following is equivalent to
Answer: C
Step-by-step explanation:
This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)
Answer:
the third oneStep-by-step explanation:
[tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]
Does anyone know how to solve this question. Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
D. 9
Step-by-step explanation:
From the question, we are given the following information:
The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
In other to solve for n, we would be taking some values for n
Step 1
Let's take the first layer,
n is represented by 1
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
Step 2
Let's take the second layer
n is represented by 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
Step 3
Let's take the third layer
n is represented by 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
Step 4
Let's take the fourth layer
n is represented by 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
We can continue this process, on and on
From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,
Hence, the number of tennis balls that Coach Kunal could not have is 9.
Given OT with PQ = SR. What is the length of SR?
Answer:
42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR
Step-by-step explanation:
Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)
Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
I need helpppppppppppp
Answer:
7.5 cm
Step-by-step explanation:
it is a right triangle, b=10, hypotenuse c=12.5
a^2+b^=c^2 the Pythagorean theorm
a^=c^2-b^2
a^2= 12.5^2-10^2
= 56.25
a=√56.25=7.5 cm
Please help me with this math question!!!!!
Answer:
60
Step-by-step explanation:
7x+30+9x+42=104
16x+72=104
16x=104-72
16x=32
x=2
SO:
<BOC=9x+42=
9(2)+42=
18+42=
60
The border line of the linear inequality 3x + 7y> 10 is dotted.
A. True
B. False
Answer:
I think that it is false i hope it helps
I WILL GIVE BRAINLIEST. Please help!
Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate?
Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answer: 2.5%
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 10/100= 0.1)
n= number of compounding periods in each year (365)
Replacing with the values given
A=250(1+0.1/1)^t/1
A=250(1.1)^t
For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )
Interest rate 0.1 /4 = 0.025= 2.5%
Answer:
9.6%
Step-by-step explanation:
yw
Which statement best describes Cheryl's commute? A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph. B. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes. C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph. D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
Answer:
C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
Step-by-step explanation:
Assume the graph of Cheryl's commute was like the one below.
We see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.
Answer:
D
Step-by-step explanation:
on Edmentum
(0, 4), (-5, 8), (4, -2), what is the range?
Answer:
range={ -2,4,8}Explanation:
Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
Please help asap will give brainliest to best answer
Answer: B
Step-by-step explanation:
When adding and subtracting fractions, the denominator must be the same. Since the denominator is the same, we can directly subtract the numerator.
[tex]\frac{x^2-7-(2x+9)\\}{5x-4}=\frac{x^2-7-2x-9}{5x-4}[/tex]
Create your own factorable polynomial with a GCF. Rewrite that polynomial in two other equivalent
forms. Explain how each form was created. (10 points)
For example: 2x2 + 6x + 4 has a GCF of 2 since all values are divisible by 2.
So one form can be created by factoring out 2:
2 (2x2 + 3x + 2)
Then the second form can be created by factoring x2 + 3x + 2:
2 (x + 2) (x + 1).
Be sure to create your own example, do not look one up online.
Answer:
Step-by-step explanation:
2x^2+10x+12 greatest common factor is 2
2(x^2+5x+6)=
2(x+2)(x+3)