Answer:
8,107,424
Step-by-step explanation:
We have an expanded form of a number and are asked to convert it into standard form.
We always have to look at the place value when it comes to expanded form.
So follow the place values :
Million , Hundred Thousand, Ten Thousand, Thousand, Hundred, Tens, Ones.
1,000,000, 100,000, 10,000, 1,000, 100, 10, 1
Look at the values given and replace it
8,000,000, 100,000, 0, 7,000, 400, 20, 4
Now add them all :
8,107,424
A CD usually sells for $13.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
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Total profit P is defined as total revenue R minus total cost C, and is given by the function P(x)=R(x)−C(x). Find the total profit P(x) when R(x)=126.98x−0.5x2 and C(x)=3809.40+0.7x2.
Given:
The revenue function is
[tex]R(x)=126.98x-0.5x^2[/tex]
The cost function is
[tex]C(x)=3809.40+0.7x^2[/tex]
To find:
The profit function.
Solution:
We know that, the total profit P is defined as total revenue R minus total cost C.
So, the profit function is
[tex]P(x)=R(x)-C(x)[/tex]
[tex]P(x)=126.98x-0.5x^2-(3809.40+0.7x^2)[/tex]
[tex]P(x)=126.98x-0.5x^2-3809.40-0.7x^2[/tex]
[tex]P(x)=-3682.42-1.2x^2[/tex]
Therefore, the profit function is [tex]P(x)=-3682.42-1.2x^2[/tex].
In the figure below which term best describes point h
Answer:
A
Step-by-step explanation:
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The three altitudes of a triangle are always concurrent, meaning that they meet at the same point. As a quick reminder, the altitude is the line segment that is perpendicular a side and touches the corner opposite to the side.
I need help with a math question. could you help me?
Answer: yrs
Step-by-step explanation: yes
Answer:
No, they aren't equal
Step-by-step explanation:
5x & 5+x
let's say x=1
5(1)=5
but 5+(1)=6
Therefore they aren't equal
The circumference of a circle is 106.76 meters. What is the circle's diameter?
Answer:
33.98
Step-by-step explanation:
To find the diameter of a circle when you have a circumference, all you need to do is divide the circumference by pi. (So 106.76 ÷ π)
So:
106.76 ÷ π = 33.98276344.... (irrational number)
I just cut off the rest of the numbers at the hundredth place for simplicity. Another way you could put it is:
[tex]\frac{106.76}{\pi }[/tex] which is basically saying 106.76 divided by pi.
Hope this helps and have a nice day!
PLEASE NEED HELP
Large gear has 28 teeth, Small gear has 14 teeth. If the large gear is turning at 15 mph, how fast is the small gear turning?
Answer:
The small gear would be spinning at 7.5MPH
two similar figures have corresponding sides that measure 4 inches and 7 inches
Answer:
11 inch dummy
Step-by-step explanation:
4 + 7=11
If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?
Answer:
try 30 1/4
Step-by-step explanation:
Charles earns $61.50 for 6 hours of work. What is his rate of pay?
Answer:
The rate of pay per hour is 10.25$ an hour
Step-by-step explanation:
61.50/6= 10.25
PLEASE HELPP! WILL GIVE BRAINLIEST OF CORRECT!!!!
Answer:
V = 288π [tex]unit^{3}[/tex]
Step-by-step explanation:
The volume of the sphere = [tex]\frac{4}{3}[/tex] * π * [tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex] * π *[tex]6^{3}[/tex]
V = 288π [tex]unit^{3}[/tex]
(π is pi or 3.14)
use equivalent expression 20a+18+16a
Answer:
36a+18
Step-by-step explanation:
20a+16a=36a
18 does not have a "like term", so just leave it.
I will give brainliest if correct !!
Answer:
58
Step-by-step explanation:
Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10
Answer:
c. 10, -10
Step-by-step explanation:
10x10=100
-10x-10=100
Answer:C
Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives
Draw a line through the point (2, 0) with a slope of 1/4
Answer:
y = 1/4 x - 1/2
Step-by-step explanation:
Remark
The general equation for a line is y = mx + b
You know that m = 1/4. The problem is what do you do about (2,0)?
Solution
y = 1/4 x + b Let x = 2 when y = 0
0 = 1/4 * 2 + b multiply 2 * 1/4
0 = 1/2 + b Subtract 1/2 from both sides
b = - 1/2
equation y = 1/4 x - 1/2
Graph
If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer
Answer:
65
Step-by-step explanation:
f(x) = 2x² + 4
g(x) = x - 6
f(-5) = 2 * (-5)² + 4
= 50 + 4
= 54
g(-5) = - 5 - 6
= - 11
f(-5) - g(-5) = 54 + 11 = 65
Hope it will help you :)
Sandra is buying decorations for a party. She wants to buy a set of balloons. The original cost of the balloons is $39, but the store is offering a 25% discount. What is the sale price of the balloons including a 5.75% tax?
Answer:
30.93
Step-by-step explanation:
39 - 25% = 29.25
29.25 + 5.75 = 30.93
4 cm
5 cm
6 cm
6 cm
Which is the surface area of the pyramid?
Answer:
96
Step-by-step explanation:
The pyramid formula: A = 6(6) + 6[tex]\sqrt{x} (6/2)^2 + 4^2 + 6 \sqrt{x} (6/2)^2 + 4^2[/tex]
Solve that to get you A = 96
Use the interactive graph below to sketch a graph of y = -2 • 3^x + 5.
Answer:d = rand(20);
figure(1)
imagesc(d)
text(5, 22, sprintf('\\uparrow\nLTO'), 'HorizontalAlignment','center', 'FontWeight','bold')
Step-by-step explanation:
i know
The graph of the function is attached.
What is an exponential graph?A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.
Given the graph of function,
The graph of any exponential function is parallel to an axis and drop and increase show the decay or growth,
since the equation,
y = -2(3ˣ) + 5
has a negative sign the graph will go down,
y-intercept for the graph is 3,
when x = 0, y = 3
and the graph will be in the fourth quadrant.
Hence the graph will be in the fourth quadrant.
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Can you guys please help?
Answer: 1) h=5d+1.5
Step-by-step explanation:
Help. Really help. It’s timed. HELP PLEASE
Answer:
its b
Step-by-step explanation:
Answer:
c i think
Step-by-step explanation:
set the denominator to equal 0
(x-7)(x+5) = 0
x = 7, x = -5
all real numbers except -5 and 7
example of variations natural resources
Answer:
Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants
Step-by-step explanation:
whoever answers correct i’ll mark brainliest
Answer:
37% between 1989and 2009
Step-by-step explanation:
20%+17%=37%
Factor completely. x^2−11x+24
Answer:
(x-3)*(x-8)
Step-by-step explanation:
x^2-11x+24=(x-3)*(x-8)
In Slope-intercept form (y=Mx+b), what is the equation for this line?
can you help me please
Answer:
25/6
Step-by-step explanation:
Choose the graph of the solution to this inequality. c – 12 ≥ –16 A number line with a closed dot at negative 4 shaded to the right. A number line with a closed dot at 4 shaded to the left. A number line with a closed dot at 4 shaded to the right. A number line with a closed dot at negative 2 shaded to the right.
A number line with a closed dot at -4 is shaded to the right. Option A is correct.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
Given inequality,
c – 12 ≥ –16
Add 12 on both sides
c ≥ -4
So the required number line would be as a closed dot at -4 and shaded to the right.
Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.
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Sheena wants to simplify the expression 7(4x + 2y) - 6x + 3. Tell whether each step is the first step she should take by selecting Yes or No.
Answer:
ok so its no, yes, no, no
Step-by-step explanation:
There were 45 questions on a science quiz. Maria answered 36 correctly. What percent of the questions did Maria answer correctly?
Answer: 80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Formula- a/b = n/100
36/45 = n/100
do cross multiplication:
3600/45 = 80
Question 2 (1 point)
A landscape architect needs to know the measure of the angle formed by a path and the edge of a garden. What is the measure of LABD to
the nearest degree?
Answer: 48
Step-by-step explanation:
I guessed and got it right, trust
Measure of ∠ABD = 42°
Correct option is d.
What is trigonometric ratio?In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
Given in the figure,
ABC is right angle triangle
∠BAD = 90°
∠ABD = ?
AB = 125 ft
AD = 140 ft
tan ∠ABD = AB/AD
∠ABD = tan⁻¹ (125/128)
∠ABD = 41.76° ≈ 42°
Hence, 42° is the measure of ∠ABD.
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