The product (-1/2) \\cdot (1/2) \\cdot (1/2) simplifies to -1 \\cdot (1/2)^2, which equals -1/4 when written using exponents.
The product of these fractions, (-1/2) \\cdot (1/2) \\cdot (1/2), can be written using exponents. Since we are multiplying the same base, (1/2), we simply add the exponents. The fraction -1/2 can be thought of as (-1) \\cdot (1/2), so it won't affect the exponent but will contribute a negative sign to the product.
To use exponents, we count how many times the base (1/2) is used as a factor: twice. We can express this as (1/2)^2. Combining this with the negative sign from (-1/2), the final expression is -1 \\cdot (1/2)^2, which simplifies to -1/4 because (1/2)^2 = 1/4.
can you help please on this question i am stuck
Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
What is the probability that pˆD−pˆE is greater than 0.1917?
Answer:
Step-by-step explanation:
The probability is obtained by calculating the z score,
(pˆD−pˆE) - (PD - PE)
0.0914
10.1917-0.1
0.0914 = 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1-0.8420 = 0.1580
A table is 3 feet wide. The length of the table can be adjusted as needed. You need at least 24 square feet of space on the table. Write and solve an inequality to represent the minimum length the table should have.
The minimum length of a table that is 3 feet wide to have at least 24 square feet of space is found by solving the inequality 3L ≥ 24, which results in a minimum length of 8 feet.
The question involves finding the minimum length of a table to achieve a certain area, which requires understanding and solving an inequality. Given that the table is 3 feet wide and we need at least 24 square feet of space, we can set up the inequality as follows:
Let L be the length of the table in feet.
The area A of a rectangle is calculated as A = length × width.
Thus, A = L × 3 square feet.
To satisfy the condition of having at least 24 square feet, we have the inequality 3L ≥ 24.
Dividing both sides by 3 to solve for L, we get L ≥ 8.
Therefore, the minimum length the table should have is 8 feet.
Please help! Basic math.
Answer:
A' = 2,-2
B' = 2,-4
C' = 5,-4
Step-by-step explanation:
Which equation represents a circle that contains the point (-5. -3) and has a center at (-2, 1)?
Distance formula: (x2-x1)^2 + (y2-y1)^2
A. (x - 1)2 + (x + 2)2 = 25
B. (x + 2)2 + (-1)2 = 5
C. (x + 2)2 + (x - 1)2 = 25
D. (x - 1)2 + (y + 2)2 = 5
Joe counts 48 animals with 134 legs among the pigs and chickens on his far. All the pigs have 4 legs and all the chicken have 2 legs.How many pigs and chicken does he have?
Answer:
19 Pigs
29 Chickens
Step-by-step explanation:
19 pigs with 4 legs each =
19 x 4 = 76 legs
+
29 chickens with 2 legs each =
29 x 2 = 58 legs
-----------------------------------------------
48 animals total 134 legs total
Convert
4pie/3
to degrees.
PLS MARK BRAINLIEST
Joanna went to school supply shopping. She spent $31.80 on notebooks and pencils. Notebooks cost $2.05 each and pencils cost $1.50 each. She bought a total of 19 notebooks and pencils. How many of each did she buy?
A.
11 notebooks; 8 pencils
B.
9 notebooks; 10 pencils
C.
6 notebooks; 13 pencils
D.
4 notebooks; 15 pencils
Answer:
C
Step-by-step explanation:
Total number of notebooks and pencils= 19
Assuming that she bought notebooks only,
amount spent
= 19($2.05)
= $38.95
Difference in actual amount spent
= $38.95 -$31.80
= $7.15
This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.
Cost difference of each notebook compared to a pencil
= $2.05 -$1.50
= $0.55
This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.
Number of sets of extra $0.55
= $7.15 ÷$0.55
= 13
Thus, she bought 13 pencils.
Amount of notebooks bought
= 19 -13
= 6
Let's check our work!
If Joanna bought 13 pencils and 6 notebooks,
total amount spent
= 13($1.50) +6($2.05)
= $19.50 +$12.30
= $31.80
Thus option C is indeed correct as it is given from the question that she spent $31.80.
Answer:
correct answer is c
Step-by-step explanation:
71 out of 84 chairs are blue. What percentage of the chairs are blue?
Answer:
84.5 percent
Step-by-step explanation:
For every $4 Gillian makes, her friend Lucas makes $5.
Lucas makes $54,000 each year. How much does Gillian
make in a year?
Answer:
67500
Step-by-step explanation:
4-----54000
5-----x
4x=54000*5
x=67500
Answer:
43,200
Step-by-step explanation:
4/5=x/54000
Joseph measured his height and found out that he was 5.9 feet tall. There are about 0.304 meters in 1 foot. About how many
meters tall is Joseph?
The height of Joseph in meters is 1.79 m.
What is Height?
Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it. Height refers to something measured vertically whether high or low.
Here, Height of Joseph = 5.9 ft.
1 feet = 0.304 m
5.9 ft = 0.304 X 5.9 m.
5.9 ft = 1.79 m.
Thus, the height of Joseph in meters is 1.79 m.
Learn more about Height from:
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You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounded monthly.
The balance after 2 years is $.
Answer:
=$23,350.802
Step-by-step explanation:
Compound Interest (A)=P(1+r/n)^nt
Where,
P=principal=$20,000
r=Interest rate=7.77%=7.77/100
=0.0777
n=number of periods=12 month in a year
t=time=2 years
(A)=P(1+r/n)^nt
=$20,000(1+0.0777/12)^12×2
=$20,000(1+0.006475)^24
=$20,000(1.006475)^24
=$20,000(1.1675401)
=$23,350.802
What is the meaning of diviation ?
Answer:
In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.
To calculate the standard deviation of those numbers:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.
Take the square root of that and we are done!
Answer:
the action of departing from an established course
Step-by-step explanation: Your Welcome Stay Safe
Solve the equation for y: -8x + 4y = 20
21 Points
Answer:
y = 5 + 2x
Step-by-step explanation:
[tex]-8x+4y=20\\ 4y=20+8x\\ y=5+2x[/tex]
Add 8x on both sides
Divide by 4 on both sides
Simplify
(brainliest)Armando found the volume of the figure below by using the steps shown. A rectangular prism with a length of 18 inches, width of 5 inches, and height of 8 inches. A triangular prism with a base of 18 inches and height of 6 inches. The prism has a height of 5 inches. Total Volume = Volume of rectangular prism + volume of triangular prism = 5 (8) (18) + one-half (6) (18) (8) = 720 + 432 = 1,152 cubic inches. What mistake, if any, did Armando make? Armando determined the volume correctly. Armando used the wrong formula for the total volume. Armando used the wrong dimensions for the triangular prism. Armando did not apply the order of operations correctly.
Answer: Armando used the wrong dimensions for the triangular prism.
Step-by-step explanation:
Hi, to answer this question we have to analyze Armando’s work.
Total Volume = Volume of rectangular prism + volume of triangular prism
Total Volume = 5 (8) (18) + one-half (6) (18) (8)
Total Volume= 720 + 432
Total volume = 1,152 cubic inches.
He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)
The correct way to solve this is.
Total Volume = 5 (8) (18) + one-half (6) (18) (5)
Total Volume= 720 + 270
Total volume = 990 cubic inches.
Answer:
Armando used the wrong dimensions for the triangular prism.
Step-by-step explanation:
y = 9x - 12. What is the slope of the equation?
Answer:
Step-by-step explanation:
the correct answer is the last option on the bottom
Answer:
Slope: 9 y-intercept (0,-12)
Step-by-step explanation:
y=mx+b
m is always the slope
b is always the y-intercept
y=9x-12
you can see 9 is m and -12 is b
will give brainliest if answered correctly!!!
So the right answer is 13.
Look at the attached picture
Hope it will help you
I WILL MARK YOU THE BRAINLIEST OF YOU ANSWER FIRST PLS AND FAST!!
[Deleted Because Incorrect]
−3−4x≤21 pls help me
Answer:
-7x<21
i think, I'm not fully sure what it's asking.
Step-by-step explanation:
Answer:
x ≥ - 6
Step-by-step explanation:
Given
- 3 - 4x ≤ 21 ( add 3 to both sides )
- 4x ≤ 24
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x ≥ - 6
What objects in your everyday lives are in the shape of a triangular prism?
Answer:
wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper
Step-by-step explanation:
Answer:
wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.
By calculating angles and side lengths using trigonometric ratios and the Pythagorean theorem, we determined that the height of the silo (length CE) is approximately 18 feet.
Calculate angle ACD using the tangent trigonometry ratio:
Given AD = 8 feet and DP = 5 feet, we find C using tan(C) = AD/DP, which gives C = arctan(8/5) = 32 degrees.
Calculate angle BCA:
BCA = 90 - 32 = 58 degrees.
Calculate side length AC using the Pythagorean theorem:
Given AB = 5 feet and BC = 8 feet, AC^2 = AB^2 + BC^2, so AC = sqrt(89) = 9.4 feet.
Calculate the height of the silo (length CE) using the cosine ratio:
With AC = 9.4 feet and BCA = 58 degrees, cos(58) = BC/AC = CE/9.4. Solving for CE, we get approximately 17.7 feet.
Therefore, the height of the silo is approximately 18 feet.
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
O 0
O 15
O 16
O 22
Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
Which of these values would you most likely see on a U.S. speed limit sign?
A. 150 miles / day
B. 45 miles/hour
C. .08 miles / second
D. 25 feet / second
SUBMIT
h
Answer:
Hi there! The answer is B: 45 Miles/Hour (or mph)
Step-by-step explanation:
When looking at speed signs in the U.S. they always use miles per hour, or MPH. Making it so the other options are incorrect!
Hope this helps!! :)
The most common unit on a U.S. speed limit sign is B. 45 miles/hour. Speed limits are displayed in miles per hour, not in units like miles per day, miles per second, or feet per second.
The value you would most likely see on a U.S. speed limit sign is B. 45 miles/hour. In the U.S., speed limits are almost always shown in miles per hour (mi/h). Therefore, options like 150 miles/day, .08 miles/second, or 25 feet/second are not standard measurements for speed limits on road signs.
To address the conversion exercises, converting 80 km/h to metric units of meters per second (m/s), you use the conversion factor 1 km/h = (1/3.6) m/s. So, 80 km/h equals approximately 22.2 m/s. The conversion to imperial units of miles per hour requires knowing that 1 km is roughly 0.621 miles, making 80 km/h about 49.7 mi/h.
Similarly, 100 km/h equals about 27.8 m/s (not an option here), and in miles per hour, it's approximately 62 mi/h. When converting from metric to imperial or vice versa, it's useful to remember that 1 m/s equals 3.6 km/h and roughly 2.2 mi/h.
Lexi earns $7 for each pillow she sews. Which table represents this proportional
relationship?
Pillows
5
7
9
Earnings ($)
35
49
63
Pillows
6
8
10
Earnings ($)
42
59
63
O Pillows
4
6
8
Earnings ($)
28
42 54
3
6
Pillows
9
10
Earnings ($)
13
16
Answer:
I got the fourth one
Step-by-step explanation:
if she earns 7 dollars for every sew you multiply each one to get the correct answer and see the sum of the money. because 7 times 35 and 7x7 is 49
The net of a triangular prism is shown. Which measurement is closest to the total surface area of the triangular prism in square centimeters?
A
6 cm2
B
8 cm2
C
14 cm2
D
20 cm2
Answer:
is the anwser a?
Step-by-step explanation:
The total surface area of the triangular prism will be 14 square centimeter.
Option C is correct.
Total surface area :
From the given diagram of triangular prism,
It is observed that, The total surface area of the triangular prism will be the summation of area of two triangle and area of large rectangle.
Area of one triangle =(1/2)*3*2 = 3 square centimeters
So that, area of both triangle =2 * 3=6 square centimeters
Area of large rectangle=(2.5+3+2.5)*1=8*1=8 square centimeters
total surface area of the triangular prism =8+6=14 square centimeters
Therefore, total surface area of the triangular prism is 14 square centimeters.
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A student drove 9,500 miles in his car last year. Fixed costs totaled $1,215.
Variable costs totaled $1,985. What is the total annual cost? What was the
cost per mile? (Enter answer: $-----; $-----)
Answer: $7,81; $4.78 per mile
Step-by-step explanation:
To get the cost per mile we have to divide 9,500 by the cost.
(The total cost annual was $3,200)
9,500 divided by $1,215 = $7.81
9,500 divided by $1,985 = $4.78
I hope this helps!
What is the diameter of the following?
(x - 9)2 + (– 4)2 = 36
(by the way the 2’s are actually squared but it won’t let me put that on this app:( )
Answer:
12
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 9)² + (y - 4)² = 36 ← is in standard form
with r² = 36 ⇒ r = [tex]\sqrt{36}[/tex] = 6
diameter = 2 × r = 2 × 6 = 12
Can someone tell me what is 6=2(y+2)
Distribute the 2 through the parentheses
on the right side of the equation.
2(y) is 2y and 2(2) is 4.
So the problem now reads 6 = 2y + 4.
Now we can subtract 4 from both
sides of the equation to get 2 = 2y.
Now divide both sides of the
equation by 2 and 1 = y.
Answer:
the answer is attached to the picture
HELP ME ASAP!
What is the volume of the right rectangular prism, in cubic inches?
Area of base = 4 sq.in.
cubic inches
Answer:
V = 48 [tex]inches^{3}[/tex]
Step-by-step explanation:
Volume of a rectangular prism = Area of base * height
Substitute in our values and solve for Volume
V = 4 * 12
V = 48 [tex]inches^{3}[/tex]
Answer:
48 Sq.In
Step-by-step explanation:
Did quiz edge and got righ lol
If ∠D is a supplementary angle of ∠E and ∠F is a supplementary angle of ∠E, then which of the following statements is true?
Question 5 options:
A)
∠D ≅ ∠F
B)
∠D + ∠E ≅ ∠F
C)
∠E ≅ ∠F
D)
∠D ≅ ∠E
Answer:
A) ∠D ≅ ∠F
Step-by-step explanation:
Supplementary angles : A pair of angles whose sum is 180° are called supplementary angles
We are given that ∠D is a supplementary angle of ∠E
So,[tex]\angle D+\angle E = 180^{\circ} -----1[/tex]
We are also given that ∠F is a supplementary angle of ∠E
So,[tex]\angle F+\angle E = 180^{\circ} ------2[/tex]
Find the value of ∠E form 1 and 2
From 1 : [tex]\angle E = 180^{\circ}-\angle D[/tex]
From 2 : [tex]\angle E = 180^{\circ}-\angle F[/tex]
So, [tex]180^{\circ}-\angle D=180^{\circ}-\angle F[/tex]
[tex]\angle D=\angle F[/tex]
So, Option A is true
Hence ∠D ≅ ∠F
Answer:
A) ∠D ≅ ∠F
Step-by-step explanation: