Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
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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!
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
how many eights are in 4 3/8
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 following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.
Answer:
19 units
Step-by-step explanation:
In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units
The length of the side TU of the parallelogram is 19 units long.
What is a parallelogram?A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.
How to solve the given question?In the question, we are given a parallelogram STUV.
The length of the side TU is given as x + 10.
The length of the side VS is given as 3x - 8.
As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.
∴ TU = SV
or, x + 10 = 3x - 8
or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)
or, -2x + 10 = -8 (Simplifying)
or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)
or, -2x = -18 (Simplifying)
or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)
or, x = 9 (Simplifying).
Now, TU = x + 10 = 9 + 10 = 19.
∴ The length of the side TU of the parallelogram is 19 units long.
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WILL AWARD BRAINLIEST
What is the value of a?
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
stay at home stay safe
bye bye
pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
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
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
Solve the equation 12x + 6y = 24 for x
Answers above
Answer:
D
Step-by-step explanation:
12x + 6y = 24
Subtract 6y on both sides.
12x = 24 - 6y
Divide 12 into both sides.
x = 24/12 - 6/12y
x = 2 - 1/2y
The solution for x in terms of y is x = 2 - (1/2)y
We have,
To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.
Starting with 12x + 6y = 24, we can subtract 6y from both sides:
12x + 6y - 6y = 24 - 6y
This simplifies to:
12x = 24 - 6y
Next, we divide both sides of the equation by 12 to solve for x:
(12x)/12 = (24 - 6y)/12
This gives us:
x = (24 - 6y)/12
x = 24/12 - 6y/12
x = 2 - (1/2)y
Therefore,
The solution for x in terms of y is x = 2 - (1/2)y
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What is the volume of a cylinder with a height of 17 cm and a base radius of 7 cm to the nearest 10th
Answer:
Step-by-step explanation:
volume =πr²h=π×7²×17≈2616.9 cm³
The volume of a cylinder is 2616.95 cubic centimeters.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The height of the cylinder h = 17 cm
Base radius of the cylinder r = 7 cm
We know the volume of a cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
[tex]\rm V = \pi\times 7^2\times17[/tex]
V = 833π cubic centimeters
V = 833×3.141592
V = 2616.94668 cubic centimeters or
V = 2616.95 cubic centimeters.
Thus, the volume of a cylinder is 2616.95 cubic centimeters.
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TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place
Answer:
V = 251.3 cm³
Step-by-step explanation:
Diameter 8 cm
Radius = 4 cm
Height = 5 cm
Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]
Where r = 4 cm, h = 5 cm
V = (3.14)(4)²(5)
V = (3.14)(16)(5)
V = 251.3 cm³
Answer:
251.3 cm³
Step-by-step explanation:
The diameter is 8 cm
So the radius is 8/2 = 4 cm
The height is 5 cm
Volume of tin can:
[tex]\pi r^2 h[/tex]
r = 4 & h = 5
[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
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!
y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.
Answer:
a.) k = 10
b.) x = 20
Step-by-step explanation:
Step 1: Plug in variables and calculate for k
2 = k/5
10 = k
Step 2: Plug in variables and calculate for x
0.5 = 10/x
0.5x = 10
x = 20
Select the reason why these triangles are similar. If they are not, select “not similar”
Answer:
B. SAS
Step-by-step explanation:
3/1= 2.25/075
The 2 sides are congruent and the angle between them is common
B. SAS is the answer
Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.
Answer:
Hi ,
Cube of a number :
_______________
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.
Which equation has only one solution?
|x - 5= -1
|-6 - 2x1 = 8
5x+ 10 = 10
|-6x + 31 = 0
Answer:
5x + 10 = 10
Step-by-step explanation:
5x + 10 = 10
5x = 10 - 10
5x = 0
x = 0/5
x = 0
Only one solution.
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
please help asap !!!!!!!!!
Answer:
D. 6\sqrt{5}-4\sqrt{7}
Step-by-step explanation:
[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]
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
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
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 diagram is NOT a good model of 2 ÷ 18? Math item response image Math item response image Math item response image (I don't know how to paste the images.) PLEASE ANSWER ASAP!! Thanks!!
Answer:
when you wrote question there will be pin sign then you will attach any image easily
Step-by-step explanation:
Answer:
Its the triangle one
Step-by-step explanation:
Just count them and you will see there are only 7 not 8 :)
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
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]
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
Which number added to a rational number will always result in an irrational number?
Answer:
The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.
Step-by-step explanation: