1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these
Answer:
Option C: 9³
Step-by-step explanation:
9 * 9 = 81
( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )
81 * 9 = 729
( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)
A zoo measured the wingspan, in millimeters, of 9 butterflies.
55, 50, 54, 57, 50, 55, 53, 52, 55
What is the median length of the wingspans?
50 mm
54 mm
55 mm
57 mm
What is the circumference of the circle shown in terms of pi?
Answer:
10πcm
Step-by-step explanation:
radius of the circle= 5cm
circumference of a circle has the formular
= 2πr
= 2×π×5
then In terms of pi
= 10πcm
The temperature outside changed from 82°F to 46°F over a period of six days. If the temperature changed by the same amount
each day, what was the daily temperature change?
A. 36°F
B. -6°F
C. 6°F
D. -36°F
Answer:
B. -6
Step-by-step explanation:
You know immediately that it will be negative, because the temp is going down.
To find the exact answer, start by finding the difference between the two temps
82-46 = 36
since its a six day period, divide 36 by 6
36/6 = 6
so, the answer is -6
graph of y = x - 2x + 5 using your graphing calculator. What are the x-intercepts
a. (2,0) and (-7, 0)
There are no x-intercepts
b. (2,0) and (-2, 0)
d. (9,0) and (-2, 0)
C.
Please select the best answer from tho ohoin
Answer:
(2, 0) and (-7, 0)
N
C.
b.
(2, 0) and (-2, 0)
There are no x-intercepts
d.
(9, 0) and (-2, 0)
Please select the best answer from the choices provided
O A
B
C
Step-by-step explanation:
what is the measurement of angle c
Answer: 29
Step-by-step explanation:
all triangles equal to 180
180-97-54=29
What is the area of the figure?
Answer:
Area = 28 cm^2
Step-by-step explanation:
Triangle Area = 1/2 * 5 * 4 = 10 cm^2
Big Rectangle = 4 * 3 = 12 cm^2
Small Rectangle = 4 * 1.5 = 6 cm^2
Total Area = 10 + 12 + 6 = 28 cm^2
Answer:
Step-by-step explanation:
Discussion
Area of the Triangle
3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.
c = 5
b = 3
a = 4
c^2 = a^2 + b^2 Equation Substitute values
c^2 = 3^2 + 4^2 Expand
c^2 = 9 + 16 Combine
c^2 = 25 Take the square root of both sides.
√c^2 = √25
c = 5 Which is exactly what you are given.
A right triangle has the property of Area = 1/2 * a * b using the values given above.
Find the area of the triangle
Area = 1/2 a * b
Area = 1/2 3 * 4
Area = 6
Find the area of the rectangle
L = 3 + 1.5 =4.5 Just add the two parts of the vertical line together.
w = 8 - 4 = 4
Area of the rectangle = L * w Substitute values
Area of the rectangle = 4.5 * 4
Area of the rectangle = 18 Add
Total area 24
Answer
24 cm^2
Select the correct answer.
Solve for x.
x-2x-24 = 0
Answer:
x = -24
Please mark brainliest :)
Answer
-24
Step-by-step explanation:
A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. If the total bill was $190, how many hours did the plumber spend fixing the sink?
Answer:
3 hours
Step-by-step explanation:
$190 - $55 = $135 that the plumber charged for labor
$135/$45 = 3 hours that the plumber spent fixing the sink
What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
3
Step-by-step explanation:
a²+6.1²=6.8²
a²+37.21=46.24
-37.21 -37.21
a² = 9.03
a = √9.03
a = 3
What is the slope and y-intercept of this line?
y = -3x+9
A. slope: 3, y-intercept: -9
B. slope: -3, y-intercept: 9
C. slope: 1. y-intercept: -3
D. slope: 9, y-intercept: -3
Please someone help me
Answer:
Pls can u type it out ur self so I can help u out
Answer the volume based Question. I will make uh brainliest + 50 points
Answer:
see explanation
Step-by-step explanation:
(a)
the volume (V) of the cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × a² × 2a = 2a³π
(b)
the volume of the prism is calculated as
V = Ah ( A is the cross- sectional area and h the height ) , then
a²b = 2a³π ( divide both sides by a² )
b = 2πa
Guys I have a calculus test tomorrow and need help ASAP
Answer:
1) (Un) is a geometric sequence.
2) Un+1 - Un ≤ 0.
3) (Un) is decreasing.
4) (Un) is convergent.
5) sum = 155
Step-by-step explanation:
Un+1 = 0.5Un
U₀ = 80
1) U is a geometric sequence (reason : Un+1 = 0.5Un).
2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).
Remark: use Mathematical induction to prove that Un ≥ 0
3) Un+1 - Un ≤ 0
then
Un+1 ≤ Un
then
the sequence U is decreasing.
4) U is decreasing and Un ≥ 0
Then U is convergent.
5) Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .
Important: review the sum of consecutive terms of a geometric sequence.
Then
[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]
Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
help please
What is this expression in simplest form?
4w/w-2 + 3w/w-3
Answer:
b
Step-by-step explanation:
7w^2-18w/w^2-5w+6
The simplest form of the expression is 7w/w^2+6, the correct option is A.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
4w/w-2 + 3w/w-3
Now,
we can multiply the numerator and denominator by the missing factor. For example
w−24w=(w−2)(w−3)4w(w−3)
w−33w=(w−2)(w−3)3w(w−2)
Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:
w−24w+w−33w=(w−2)(w−3)4w(w−3)+3w(w−2)
Simplify the numerator by distributing and combining like terms. For example:
(w−2)(w−3)4w(w−3)+3w(w−2)=(w−2)(w−3)4w2−12w+3w2−6w
(w−2)(w−3)4w2−12w+3w2−6w=(w−2)(w−3)7w2−18w
=7w/w^2+6
Therefore, by the given expression the answer will be 7w/w^2+6.
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7/18+5/12-1/4 as a fraction in simplest form
5/9
you can use a common denominator of 36, and multiply the numerators of each fraction by whatever number the denominator had to be multiplied by to get to 36
14/36+15/36-9/36
then you add and subtract
20/36=
5/9
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
The perimeter of the rectangle is 28 feet. Then Sulio needs 28 feet of fencing.
What is the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Perimeter of the rectangle = 2(L + W) units
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
The length of a garden is 8 feet and the width is 6 feet.
Then the perimeter of the rectangle will be
Perimeter = 2 (8 + 6)
Perimeter = 2 x 14
Perimeter = 28 feet
More about the perimeter of the rectangle link is given below.
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Answer:
Look at this image.
Step-by-step explanation:
A, B, C, D. I am intelligent
Ralph deposited $910 in an account that pays 1.75% simple interest, for three years.
How much interest did the account earn?
What is the ending balance?
How much interest did the account earn the first year?
How much interest did the account earn the third year?
Answer:
Find the interest. Formula interest = PRT Principal x rate x time
910.00 x 1.75% x 1 =
910.00 x 0.0175 x 1 =
15.93 is the interest.
Step-by-step explanation:
Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!
Answer:
[tex]P(\text{Male}|\text{Divorced})\approx0.092[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092[/tex]
We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is [tex]\frac{9.6}{104.5}\approx0.092[/tex], the same value.
Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.
area of parellogram
pls help
Answer:
136
Step-by-step explanation:
simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,
lw = a.
This brings us to 8 × 17, which is 136.
85% of fans going to a baseball game will spend at least $7.00 on food at the ballpark.
If 38,214 fans come out to Miller Park to watch the Milwaukee Brewers play against the Miami Marlins, how
much money will the ballpark make on food sales?
Answer:
$227,373.3
Step-by-step explanation:
85% of 38,214 is 32,481.9
If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3
Suppose the base and height ( 8 and 6) are multiplied by 1/2, what effect would this have on the area
Answer:
Here is the answer hope it helps:)
Area of prisim…………………
Answer:
85.2 cm^2
Step-by-step explanation:
two bases' area 2 * 15.6 = 31.2 cm^2
now add the three sides....they are all the same size
three X 6 x 3 = 54 cm^2
summed = 85.2 cm^2
Calculate the median of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5 ,7 ,3?
Check the picture below.
abishek travelled 5km 28m by bus, 2km 265m by car and the rest 1km 30m on foot how much distance did he travel in all?
Answer:
8km 323m
Step-by-step explanation:
The total distance given by summing up all the distances traveled using different means.
Distance by bus = 5km 28m
Distance by car = 2 km 265 m
Distance on foot = 1 km 30 m
The total distance = distance by bus + distance by car + distance on footWe substitute below :-(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m
Total distance covered = 8km 323mStep-by-step explanation :
Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.
But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.
• Distance travelled by bus :
> Bus = 5km 28m
> Bus = 5 × 1000 + 28
> Bus = 5000 + 28
> Bus = 5028 m
• Distance travelled by car :
> Car = 2km 265m
> Car = 2 × 1000 + 265
> Car = 2000 + 265
> Car = 2265m
• Distance travelled by foot :
> Foot = 1km 30m
> Foot = 1 × 1000 + 30
> Foot = 1000 + 30
> Foot = 1030m
★ Now, total distance would be calculated as follows :
>> Total distance = (5028 + 2265 + 1030) m
>> Total distance = (7293 + 1030) m
>> Total distance = 8323 m
Therefore,
Abhishek travelled 8323 m.A lawn sprinkler sprays water 12 feet in every direction as it rotates. What is the area of the sprinkled lawn?
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field is 5606.48 m².
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the training field, we use the formula below.
Formula:
A = lw+π(w/2)².................. Equation 1Where:
A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pieFrom the question,
Given:
l = 86 mw = 64 mSubstitute these values into equation 1
A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²Hence, the area of the training field is 5606.48 m².
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Il give people 50 points If they do this please
Answer:
a) Time spent, x (minute): 50 < x ≤ 60
b) Time spent, x (minute): 20 < x ≤ 30
Step-by-step explanation:
a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)
b) Find the total amount of Frequency:
12 + 18 + 11 + 9 + 8 + 21 = 79
to find mid number through the data set divided by 2:
79 / 2 = 39.5
so add up the frequency till you reach 39.5 (max)
12 + 18 = 30
30 + 11 = 41 this passes through 39.5 so the median is in the 3rd row
What is the answer to E= mc^2
Answer:
E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1
Step-by-step explanation: