Answer:
[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]
Step-by-step explanation:
Given number:
29,980,000,000
Rules:
Move the decimal point after the first non-zero digit. (after 2)Here, we will move the decimal point 10 places to the left to move it after the first non-zero digit.Since we move the decimal point 10 places, we will write the number as a multiple of 10¹⁰ (10 being the exponent).The number will become:
2.998 × 10¹⁰
[tex]\rule[225]{225}{2}[/tex]
Answer:
B. 2.998 x 10¹⁰
Step-by-step explanation:
Given :
29,980,000,000Steps in solving :
Take the zeros after the last non-zero digit as a power of 10.Take the non-zero part (in the part) and put a decimal point after between the thousands and hundreds place, and shift the remaining powers of 10 to the previously grouped part.Adjust further if needed to match an answer.Solving :
29,980,000,0002,998 x 10⁷2.998 x 10³ x 10⁷2.998 x 10¹⁰Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =
Answer:
4h - 29
Step-by-step explanation:
[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]
You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)
Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .
What is the smallest and largest angle of the garden?
Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)
Answer:
Step-by-step explanation:
Answer: [tex]15x(2x^2+x+3)[/tex]
Step-by-step explanation:
[tex](30x^3 + 15x^2 + 45x)[/tex]
1. factor out 15x
[tex]15x(2x^2+x+3)[/tex]
We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Answer:
we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally
Step-by-step explanation:
cause 20/5 = 4
Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls
Answer:
What shapes?!?! I can help you if you add an image of the shapes :)
Step-by-step explanation:
What is the area of the triangle given below?
Answer:
26
Step-by-step explanation:
x-y=5
3x+y=3 can you pleas help me find x and y
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
what least number should 27648 be divided so that the quotient will be a cube number
Juan bought 48 ounces of nuts at the store. How much is this in pounds?
easy question quickly please!!!
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
How many people out of 100,000 will survive until age 90?
Answer:
21,526 people
Step-by-step explanation:
a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
A swimming pool in a certain resort is enjoyed by people because it has a floor measurement of 8 ft by 12 ft and a depth of 9 ft. How much water can it contain?
Answer:
864 ft3
Step-by-step explanation:
length = 12 ft
width = 8 ft
depth = 9 ft
Volume = ? = length * width * depth
Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3
Convert angle to radians
120=2π/3So
Area
r²Ø/28²(2π/3)(1/2)64π/3cm²Answer:
[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 120°r = 8 cmSubstitute the given values into the formula and solve for Area:
[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]
7/11 of a class walk to school. What fraction of the class did not walk to school
Answer:
4/11 of the class did not walk to school.
Step-by-step explanation:
11/11 - 7/11 = 4/11
Complete a table for the equation
Answer:
Nothing provided
Step-by-step explanation:
Solve: 4+1.8x = 8 (1+0.1x)
A. There are infinitely many solutions.
B. x = -3
C. x = -4
D. x = 4
[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]
the answer is x = 4.
Find the volume of the composite solid. Round your answer to the nearest tenth.
A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.
The volume is about
cubic feet.
Answer:
1206.4 ft³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.
__
formulasThe formula for the volume of a cone is ...
V = 1/3Bh . . . . where B is the area of the base, and h is the height
The formula for the volume of a cylinder is ...
V = Bh . . . . where B is the area of the base, and h is the height
The formula for the area of a circle is ...
A = πr² = π(d/2)² = (π/4)d²
Combining the volume formulas for a figure with the same base area, we have ...
V = B(cylinder height) + 1/3B(cone height)
V = B(cylinder height + 1/3×cone height) . . . . where B is the base area
composite volumeUsing 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...
V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³
The volume is about ...
384π ft³ ≈ 1206.4 ft³
What is the value of x?
Answer:
14
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 84
x = 14
Round to the nearest two decimal places
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?
Answer:
Small box = 9 Large box = 27
Step-by-step explanation:
135 divided by 5 = 27. 27 divided by 3 = 9
Repeat same process for second half of the equation.
A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
Read more about volume at:
https://brainly.com/question/1972490
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Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.
A.
40 feet
B.
80 feet
C.
117 feet
D.
160 feet
Answer:
C) 117 Feet
Step-by-step explanation:
The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.
100^2+60^2=c^2
10000+3600=c^2
c^2=13600
c=116.6190379
Round --> 117
Thus the answer, C).
My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2In Exercises 3–8, use the box-and-whisker plot to find the given measure.
Answer:
3. The least value is 3.
4. The greatest value is 14.
5. The third quartile is 11
6. The first quartile is 6
7. The median is 8.
8. The range is 3-14.
Step-by-step explanation:
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.
Then the radius of the semi-circle will be
2r = 76
r = 38 m
Then the area of the training field will be
Area = area of rectangle + 2 x area of semi-circle
Area = 97 x 76 + 2 x (1/2) x π x 38²
Area = 7372 + 4536.459
Area = 11908.459 square m
More about the geometry link is given below.
https://brainly.com/question/7558603
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I have been stuck on this math equation for 15 minutes. Someone please help me!
Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y
Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
Find the gradient of the graph shown
For this problem, a non-integer answer should be entered as a fraction in simplest form using / as the fraction bar. malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?
Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.
What is the probability that Malik's number are less than 5 when added?The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.
In order for the two number to be less than 5 when added, the numbers to be picked have to be:
1 and 21 and 33 and 11 and 1These are 4 possibilities out of a total of 18 possibilities so the probability is:
= 4 / 18
= 2 / 9
Find out more on probabilities and picking numbers at https://brainly.com/question/251701.
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Answer:
See image
Step-by-step explanation:
Plato