Answer:
It could be both 2 positives, or 2 negatives.
Step-by-step explanation:
This is because a negative times a negative is a positive, and a positive times a positive is a positive.
If the product of two integers is positive, their signs can be either positive or negative.
If the product of two integers is positive, their signs are positive or negative.
To understand this, we need to consider the rules for multiplying integers. When we multiply two positive numbers or two negative numbers, the result is always positive. However, when we multiply a positive number and a negative number, the result is always negative.
For example, if we multiply +3 and +4, the result is +12. If we multiply -3 and -4, the result is also +12. But if we multiply +3 and -4, the result is -12.
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Determine a series of transformations that would map polygon ABCDE onto polygon
A'B'C'D'E'?
1-10-9-8-7 -6 -5 -4 -3 -2 -1,
1
2
3
4
5
6
7
8
9 10 11 12
B'
followed by a
1. T1: Translate ABCDE.
2. R1: Rotate the translated polygon.
3. S1: Scale the rotated polygon.
4. F1: Reflect the scaled polygon if needed.
To determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E', you can break down the process into individual steps. Here, I'll describe each transformation step:
1. Translation:
Translate polygon ABCDE to align its center of mass with the center of mass of polygon A'B'C'D'E'. This ensures that the polygons are roughly in the same position. Let's denote this transformation as "T1."
2. Rotation:
Rotate the translated polygon so that one of its sides aligns with a side of polygon A'B'C'D'E'. You can use the center of mass as the pivot point for rotation. Denote this transformation as "R1."
3. Scaling:
Scale the rotated polygon proportionally to match the size of polygon A'B'C'D'E'. This will make sure that the two polygons have the same size. Denote this transformation as "S1."
4. Reflection:
Reflect the scaled polygon if needed to match the orientation of polygon A'B'C'D'E'. This step may not always be necessary, depending on the orientation of the two polygons. Denote this transformation as "F1" (for reflection).
So, the series of transformations can be written as follows:
1. T1: Translate ABCDE.
2. R1: Rotate the translated polygon.
3. S1: Scale the rotated polygon.
4. F1: Reflect the scaled polygon if needed.
These transformations will map polygon ABCDE onto polygon A'B'C'D'E' while preserving their size and shape.
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Please help me out with this math question... if two people answer, I will brainlist. 5 stars and thanks for every answer and comment. I would really appreciate an answer. :-)
Answer:
20 (Assuming even distribution of letters)
Step-by-step explanation:
There are 26 letters in the alphabet.
Vowels consist of 5 of these letters.
The percentage of total letters that are vowels is:
[tex]\frac{5}{26} *100= 19.231[/tex] (3dp)
As we have total 105 letters, and we know the percentage of vowels to letters - we can work out how many of these letters we expect to be vowels by finding a percentage of the total number.
19% of 105 is:
[tex]105*0.19=19.95[/tex]
Which is approximately equal to 20
A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars
he checks, 4 have defects. If 10,500 cars will be checked this month, predict the total number of cars that will have
defects.
Answer:
i predict the 150 will have defects
Step-by-step explanation:
you do 280 divided by 4 which gives you 70
then 10,500 divided by 70 which gives you
There is a probability that 150 total autos will have defects if 10,500 vehicles are inspected this month.
What is Possibility?A chance that something might exist, happen, or be true: the state or fact of being possible.
Given, A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars he checks, 4 have defects.
Out of 280 cars defected = 4
out of 10500 cars defected = (4* 10500) / 280
out of 10500 cars defected = 150
therefore, If 10,500 cars will be checked this month there is a possibility of getting a total number of cars that will have defects of 150.
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It wants to know what the area of the trapezoid is. Someone please help.
Answer:
is it 54?
Explanation:
there are about 54 squares which could also be called units
What is the inverse function of dx) = 2x - 4?
Answer:
y = x/2 + 2
Step-by-step explanation:
y = 2x - 4
swap y and x
x = 2y - 4
x + 4 = 2y
x/2 + 2 = y
Answer:
d(x) = 1/2x + 2 or d(x) = (x + 4)/2
Step-by-step explanation:
y = 2x - 4
y + 4 = 2x
(y + 4)/2 = x
y = (x + 4)/2 or y = 1/2x + 2
What is the output of the function f(p) = 3p – 2 when the input is 2? A. 0 B. 2 C. 4 D. 6 E. 8
Step-by-step explanation:
Step 1: Find f(2)
[tex]f(p) = 3p - 2[/tex]
[tex]f(2) = 3(2) - 2[/tex]
[tex]f(2) = 6 - 2[/tex]
[tex]f(2) = 4[/tex]
Answer: Option C, 4
Answer:
C. 4
Step-by-step explanation:
f(p) = 3p - 2
Is a function with:
Input: p
Output: 3p - 2
p = 2
f(2) = 3(2) - 2 = 6 - 2 = 4
Hermina cut a 10" by 20" piece of cardboard down the diagonal. What is the length c of the cut, in inches?
The length of the diagonal of the rectangular cardboard Hermina cut
is 10√5''.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, Hermina cut a 10" by 20" piece of cardboard down the diagonal.
So, The diagonal can be thought of as the hypotenuse of a right-angle triangle with a base 20'' and a height of 10''.
Therefore,
Hypotenuse² = Base² + Height².
Hypotenuse² = 20² + 10².
Hypotenuse² = 400 + 100.
Hypotenuse² = 500.
Hypotenuse = √(500).
Hypotenuse = 10√5''.
So, The length of the diagonal is 10√5''.
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The length of the cut (c) is 5 times the square root of 20 inches, which is approximately 22.36 inches when rounded to two decimal places.
When Hermina cuts a 10" by 20" piece of cardboard down the diagonal, she essentially creates two right triangles. The diagonal of a rectangle splits it into two congruent right triangles. This diagonal acts as the hypotenuse of each right triangle.
In a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse (c) if we know the lengths of the other two sides (a and b).
The Pythagorean theorem states: c^2 = a^2 + b^2, where c is the length of the hypotenuse.
In this case, one side (a) is 10 inches long, and the other side (b) is 20 inches long. Plugging these values into the formula:
c^2 = 10^2 + 20^2
c^2 = 100 + 400
c^2 = 500
Now, to find c, we take the square root of both sides to isolate c:
c = √500
To simplify the square root:
c = √(25 * 20)
c = 5√20
In summary, Hermina's diagonal cut creates two right triangles, and the length of the cut (c) can be found using the Pythagorean theorem. The calculated length is approximately 22.36 inches.
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Question 3:
Point Q is
units from Point R.
Point R is
units from Point T.
Point T is
units from Point S.
Question 4:
What is the area of polygon QRSU?
square units.
Answer:
Point Q is 6 units from Point R.
Point R is 7 units from Point T.
Point T is 3 units from Point S.
The area of polygon QRSU is 42 square units.
Please mark my answer brainliest so I can move up to the next rank.
Step-by-step explanation:
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)? square units
Answer:
Area of the rectangle = [tex]35\,\,units^2[/tex]
Step-by-step explanation:
Area of the Rectangle= Product of the two Unequal sides
Finding the two unequal sides of the rectangle using the distance formula:
For the coordinates:
A(2,3) B(9,3) C(9,-2) D(2,-2)
Using Distance formula:
AB=
[tex]=\sqrt{(9-2)^2+(3-3)^2} \\\\=\sqrt{7^2+0} \\\\=\sqrt{49}\\\\ =7\,\,units[/tex]
Similarly, BC= 5 units
Area of the rectangle is:
[tex]=7\times 5\\\\=35\,\,units^2[/tex]
Answer:
The answer is definitely 35
Jane wants to share her pizza with two friends. She wants to make sure they all get the same amount. How should she cut the pizza?
Answer:
Into 1/3 pieces
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum
Answer:
Hello there the Correct answer is Jane should cut 2 equal pieces, as a diameter of a pizza.
Hope it helps!
From ItsNobody
Use the graph to estimate the solution of the system.
X+2y=5, -x+3y=6
Which integers is the x-value between? What is the x-value to the nearest tenth?
Which integers is the y-value between?
What is the y-value to the nearest tenth?
Answer:.
Step-by-step explanation: Answer:
1. 0 and 1
2. about 0.6
3. 2 and 3
4. about 2.2
For the graph the solution of the system, X+2y=5, -x+3y=6
1. The integer values of x in between -6 and 5 are (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The x-value to the nearest tenth is 1
3. The integer values of y in between 0 and 3 are (1, 2)
4. The y-value to the nearest tenth is 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
system of lines , X+2y=5, -x+3y=6
by plotting graph of it,
we get following conclusions,
Point of intersection is (0.6, 2.2)
1. both the lines are intersecting x axis at (-6, 0) & (5, 0)
So, integers will be (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The coordinate of x is, 0.6
The x-value to the nearest tenth is 1
3. both the lines are intersecting y axis at (0, 2) & (0, 2.5)
So, integers will be ( 0, 1, 2)
4. The coordinate of y is, 2.2
The y-value to the nearest tenth is 2
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Find the area of the figure.
Helena borrowed $189 from her parents to
buy an electric bass. She paid back $56
last week and $64 this week. How much
does Helena still owe her parents?
A $133
C $69
B $120
D $29
A Pew Research Center poll asked independent random samples of working women and men how much they value job security. Of the 798 women, 702 said job security was very or extremely important, compared with 802 of the 940 men surveyed. Construct and interpret a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important
Final answer:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, calculate the sample proportions for women and men, calculate the standard error, calculate the margin of error, and calculate the lower and upper bounds of the confidence interval.
Explanation:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, we can use the formula for calculating the confidence interval for a difference in proportions.
Calculate the sample proportions for women and men who consider job security very or extremely important. For women, this would be 702/798 = 0.8797, and for men, this would be 802/940 = 0.8532.Calculate the standard error using the formula: sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes. In this case, the standard error would be sqrt((0.8797 * (1 - 0.8797) / 798) + (0.8532 * (1 - 0.8532) / 940)).Calculate the margin of error using the formula: z * standard error, where z is the z-score for the desired confidence level. For a 95% confidence level, the z-score is 1.96. In this case, the margin of error would be 1.96 * standard error.Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the difference in sample proportions. In this case, the lower bound would be (0.8797 - 0.8532) - margin of error, and the upper bound would be (0.8797 - 0.8532) + margin of error.The resulting 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important would be interpreted as follows: We are 95% confident that the true difference in proportions lies between the lower and upper bounds calculated above. This means that there is a high likelihood that women place a higher value on job security compared to men, but there is still some uncertainty due to sampling variability.
We are 95% confident that the difference in the proportion of working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This indicates there is no statistically significant difference between the proportions at the 95% confidence level.
To construct a 95% confidence interval for the difference in the proportion of working women and men who consider job security very or extremely important, we will follow these steps:
1. Determine the sample proportions:
For women:
[tex]\[ \hat{p}_1 = \frac{702}{798} = 0.8797 \][/tex]
For men:
[tex]\[ \hat{p}_2 = \frac{802}{940} = 0.8521 \][/tex]
2. Calculate the difference in sample proportions:
[tex]\[ \hat{p}_1 - \hat{p}_2 = 0.8797 - 0.8521 = 0.0276 \][/tex]
3. Calculate the standard error (SE) for the difference in proportions:
[tex]\[ SE = \sqrt{\frac{\hat{p}_1 (1 - \hat{p}_1)}{n_1} + \frac{\hat{p}_2 (1 - \hat{p}_2)}{n_2}} \][/tex]
Plugging in the values:
[tex]\[ SE = \sqrt{\frac{0.8797 (1 - 0.8797)}{798} + \frac{0.8521 (1 - 0.8521)}{940}} \][/tex]
[tex]\[ SE = \sqrt{\frac{0.1059}{798} + \frac{0.1260}{940}} \][/tex]
[tex]\[ SE = \sqrt{0.0001327 + 0.0001340} \][/tex]
[tex]\[ SE = \sqrt{0.0002667} = 0.0163 \][/tex]
4. Determine the critical value (z*) for a 95% confidence interval:
The critical value for a 95% confidence interval (using a standard normal distribution) is approximately 1.96.
5. Calculate the margin of error (ME):
[tex]\[ ME = z^* \cdot SE = 1.96 \cdot 0.0163 = 0.0319 \][/tex]
6. Construct the confidence interval:
[tex]\[ \text{Lower limit} = (\hat{p}_1 - \hat{p}_2) - ME = 0.0276 - 0.0319 = -0.0043 \][/tex]
[tex]\[ \text{Upper limit} = (\hat{p}_1 - \hat{p}_2) + ME = 0.0276 + 0.0319 = 0.0595 \][/tex]
So, the 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important is:
[tex]\[ -0.0043 \text{ to } 0.0595 \][/tex]
Interpretation:
We are 95% confident that the true difference in the proportion of all working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This interval includes 0, which suggests that there is no statistically significant difference between the proportions of women and men who value job security at the 95% confidence level.
HELLLPPP ME QUICKKKKK What do the following four equations have in common: -4x - 18 = 27,
1/2g + 14 = 13, -36 = 3/4n, and -3/7y - 9 = 11
A. All of the solutions are positive. B. All of the solutions are negative.
C. All of the solutions are odd numbers. D. All of the solutions are even numbers
Answer:
A
Step-by-step explanation:
i did the questions already
Angle 3 and Angle 6 are examples of which type of angle pair?
Answer:
They look like they are 90° angles
Step-by-step explanation:
(What are the options?)
Simplify (3-4i) (-6-6i)
Answer: -42+6i
Step-by-step explanation:
1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
−18−18i+24i−24
2. Collect like terms.
(−18−24)+(−18i+24i)
3. Simplify.
−42+6i
26 Can anyone help!!!
Ok, first let's find how much a nickle is worth, a nickle is worth $0.05.
0.05 x 27 = $1.35
0.05 x 32 = $1.60
0.05 x 39 = $1.95
0.05 x 47 ≠ $2.45 (It's equal to $2.35)
I hope this helps!
2+2= ???
pleaae herp houme whork
Answer:
Goodness, hard question... I believe it is, uh 4?
2+2=4
for eg: if u buy 2 pencils and 2 erasers then,you have total 4 stationery items
hope it will help you
(2/3)^4= please help thanks
Answer:
2/3 x 2/3 x 2/3 x 2/3 = 16/81
Then show decimal form = 0.19753086...
Step-by-step explanation:
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14 for pi.
BRAINLIEST FOR FIRST CORRECT ANSWER!
NEED HELP ASAP!!!!
Answer:
The surface area of the sphere is about [tex]97,264.64 yd^{2}[/tex]
Step-by-step explanation:
Answer:
76,415.04
Step-by-step explanation:
If angle 1 is 70°, what is the measure of angle 3?
7
4
2
.
3
Answer:2
Step-by-step explanation:
A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the
reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the
positive y axis and its vertex at the origin.
Answer:
y = [tex]\frac{x^2}{20}[/tex]
The focus of the solar oven's reflector is (0,a)
Step-by-step explanation:
The missing figure( i.e diagram) from the question is attached below:
Now ; given that :
The focus of the sun's rays is at a point L = 5 inches away from the vertex of the reflector. Also the distance of the parabolic curve be a= L = 5
So the equation for a cross section of the oven's reflector with its focus on the
positive y axis and its vertex at the origin is expressed as:
x² = 4 L y
x² = 4 (5) y
x² = 20 y
y = [tex]\frac{x^2}{20}[/tex]
The focus of the solar oven's reflector is (0,a)
(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) = a2 + ab + ( b2)
Answer:
2a^2+ 9ab+ (-7b^2)
Step by Step Explanation
Hope this helps!! Have a great day!! : )
The simplified expression of [tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex] is [tex]2a^2+ 9ab - 7b^2[/tex].
The expression is given as:
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex]
Remove brackets
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 + 4ab - 3b^2 +5ab - 4b^2 - 3a^2[/tex]
Collect like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 - 3a^2+ 4ab +5ab - 3b^2 - 4b^2[/tex]
Evaluate like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 2a^2+ 9ab - 7b^2[/tex]
The equation cannot be further simplified.
Hence, the simplified expression is [tex]2a^2+ 9ab - 7b^2[/tex]
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Felicia pays for $3000.00 in home repairs using a credit card with a 17% APR. She makes $200.00 monthly payments.
How much will she pay in interest and fees?
Answer:
262.96 Dollars is for interest
271.91 Dollars is the monthly charged price monthly with the interest included
3262.96 Dollars is the total cost with APR
What is the answer or this Equation. ‑1/2+(3/4•4/9) =
Answer:
4/25 would be the answer as;
-1/2 + 1/3 = -0.16666666666
Step-by-step explanation:
‑1/2+(3/4•4/9) =
-1/2 + (1/3) = -4/25
-0.16
However true answer is 16666666666/100000000000. = 0.1666666666
The rule is when fractions reoccur, we show closest and -4/25 is closer than -1/6
The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work
Answer:
Length of each side 3/2 or 1.5 square units
Step-by-step explanation:
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
We have given that,
The area of a square is (4x^2 − 12x + 9) square units.
We have to determine the,
Determine the length of each side of the square by factoring in the area expression completely.
Length of each side 3/2 or 1.5 square units
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
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Claudia buys 12 postcards, 12 stamps, and 1 pen . The postcards cost twice as much as the stamps. The pen costs $1.50. The total cost is $ 14.10. How much does each postcard cost? Show your work.
Answer:
Each postcard cost $0.7.
Step-by-step explanation:
In this problem we have two variables, the price of the postcard and the price of the stamp, since the price for the pain is known. We also have the total cost of the purchase that is $14.1. So we can create an equation as shown:
12*postcards + 12*stamps + pen = 14.1
This represents the total amount spent by Claudia, but we know that each pen costs $1.5, therefore:
12*postcards + 12*stamps + 1.5 = 14.1
12*postcards + 12*stamps = 14.1 - 1.5
12*postcards + 12*stamps = 12.6
We also know that the postcards cost twice as much as the stamps, so we have:
postcards = 2*stamps
Using this info we can solve for stams as shown below:
12*(2*stamps) + 12*stamps = 12.6
24*stamps + 12*stamps = 12.6
36*stamps = 12.6
stamps = 12.6/36
stamps = 0.35
postcards = 2*stamps = 2*0.35 = 0.7
Each postcard cost $0.7.
Answer:
the cost of a post card is $0.7
Step-by-step explanation:
Given
Number of postcard = 12
Number of stamp = 12
Number of pen = 1
Cost of a pen = $1.5
Required
Cost of each postcard..
Let P represent postcards, S represent stamps,Sp represented Pen.
Since there's a total of 12 postcard and 12 staffs, we have:
12P + 12S + 1.50 = $14.10
From the question, we have that the postcards cost twice as much as the stamps.
So, P = 2S.
Substitute 2S for P
12 * 2S+ 12S + 1.5 = 14.10
24S + 12S + 1.5. = 14.10
36S + 1.5 = 14.10
Collect like terms
36S = 14.10 - 1.5
36S = 12.6
Divide through by 36
S = 0.35
Recall that P = 2S.
So, p = 2 * 0.35
P = 0.7
Hence, the cost of a post card is $0.7
If you charge $2,000 on a credit card today, how much will the
balance be in seven years (assuming no additional fees) if the
credit card has 14.99% APR that is compounded monthly?
A = P(1 + )
Answer:
$5,674.30
Step-by-step explanation:
Use the Compound Amount formula:
A = P(1 + r/n)^(n*t), where r = APR as a decimal fraction = 0.1499
and n = 12 (compounded monthly).
Then A = $2,000(1 + 0.1499/12) )^(7*12)
= $2,000(1 + 0.0125)^84
= $2,000(1.0125)^84 = $2,000(2.837) = $5,674.30
There are 72 boys and 90 girls on the math team,
For the next math competition, Mr. Johnson would like to arrange all of the students who
rows with only girls or only boys in each row.
What is the greatest number of students that can be in each row
Answer:
The students can be arranged in rows of 18 that is 4 rows of boys and 5 rows of girls
Step-by-step explanation: