[tex]{ \green{ \sf{G = \sqrt{ ab}}}}[/tex]
[tex]{ \green{ \sf{G = \sqrt{ (ab³)(a³b)}}}}[/tex]
[tex]{ \green{ \sf{G = \sqrt{ a⁴b⁴}}}}[/tex]
[tex]{ \red{ \boxed{ \pink{ \sf{G = \sqrt{ a².b²}}}}}}[/tex]
Urgent(Please answer in 2 days):In the figure below, ABCD is a parallelogram, AD=18 and DC=27. Segments overline{EG} and overline{FH} are perpendicular to sides of the parallelogram as shown, and EG=16. What is the area of the parallelogram?
The area of the parallelogram shown in this problem is of:
A = 432 units squared.
What is the area of a parallelogram?The area of a parallelogram of base b and height h is given by the multiplication of these two dimensions, as presented as follows:
A = b x h.
In this problem, these dimensions are given as follows:
Base: AB = DC = 27.Height: EG = 16.(the height is perpendicular to the sides of the parallelogram, forming an angle of 90º, as is the case in this problem).
Hence the area of the parallelogram, applying the multiplication of the obtained base and height, is calculated by the multiplication of the base and of the height given as follows:
A = 27 x 16 = 432 units squared.
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Answer:
432
Step-by-step explanation:
The area of a parallelogram is the product of a side length (the base) and the perpendicular distance between that side and the opposite side (the height). In this case, we can use (line)DC as a base and (line)EG as the matching height, so the area is equal to
(DC) ∙ (EG) = 27 ∙ 16 = 432.
i have an algebra 2 question asking about this: is there any pair of numbers that multiply to 36 and add up to -7? the factors of 36 are (1, 36) (2, 18) (3, 12) (4, 9) (6, 6)
There are no pair of numbers that multiply to 36 and add up to -7
How to find the factors of 36?The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.
36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.The pairs of factors of 36 that multiply to 36 are:
(1, 36) (2, 18) (3, 12) (4, 9) (6, 6)From the pair of numbers above, none add up to -7
Therefore, there is no pair of numbers whose product is 36 and sum is -7
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What is the image of (5,8) after the reflection over the line y=-x?
The image of (5, 8) after a reflection over the line y = - x is (-5, -8 ).
To see the graph.
Given,
In the question:
What is the image of (5,8) after the reflection over the line y= -x?
Now, According to the question:
The image of (-5,8) after a reflection over the y-axis
When a point is reflected over y axis, then the value of x changes to -x.
the value of y remains the same.
But, It is given that the reflection over the line y= -x
Hence, The image of (5, 8) after a reflection over the line y = - x is
(-5, -8 ).
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Solve for X:
1/2x + 1/3x = 10
Answer:
Step-by-step explanation:
weknr f not sure
Answer:
12
Step-by-step explanation:
1/2x+1/3x=10
We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)
3/6x+2/6x=10
5/6x=10
Now divide 5/6 on both sides
5/6x=10
/5/6. /5/6
x=10*6/5
x=60/5
x=12
Hopes this helps please mark brainliest
Complete the function table. Function: p = 1⁄2w + 5
What is the correct way to write 0.0000250 m in scientific notation? 2.50 times. 10â€""5 m 2.5 times. 10â€""5 m 2.50 times. 10â€""4 m 2.5 times. 10â€""4 m
The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.
What is scientific notation?Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:
1.23 × 10⁻⁴9.9 · 10¹⁰⁰5 · 10²Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.
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Answer:
A. 2.50 Times. 10–5 m
Step-by-step explanation:
other one is wrong
Pls help ASAP the question is in the picture
An order of brown rice and quinoa weighs 17 pounds and costs $54.
Brown rice: $2.00 per pound
Quinoa: $4.50 per pound
How many pounds of brown rice and quinoa are in this order?
8 ounce of brown rice and 9 ounce quinoa sold.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Brown rice: $2.00 per pound
Quinoa: $4.50 per pound
let the brown rice sold x ounces
and, let the Quinoa sold be y ounces
So, the equations are:
x + y= 17
2x+ 4.5y= 54
2( 17- y) + 4.5y= 54
34 - 2y + 4.5y= 54
2.5y= 20
y= 20/2.5
y= 8 ounce
and, x= 17-8= 9 ounce
Hence, 8 ounce of brown rice and 9 ounce quinoa sold.
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Draw the straight line y=2x-3
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The table is
x 0 1 2
y -3 -1 1
The graph of the line is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Equation of a line:
y = 2x - 3
y = 2 x 0 - 3 = -3
y = 2 - 3 = -1
y = 2 x 2 - 3 = 4 - 3 = 1
Table
x 0 1 2
y -3 -1 1
The graph of the straight line is given below.
Thus,
The table is
x 0 1 2
y -3 -1 1
The graph of the line is given below.
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8 coins are simultaneously flipped. what is the probability that heads are showing on at most 2 of them?
The probability of favorable outcomes P(E) = 37/256
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.Given,
8 coins are faced simultaneously .
total outcomes = 2 * 2 * 2* 2 * 2 * 2 * 2 * 2
= 2⁸
= 256
favorable outcomes = 6 heads + 7 heads + 8 heads
= ⁸C₆ + ⁸C₇ + ⁸C₈
= 28 + 8 + 1 = 37
the probability of favorable outcomes =
P(E) = 37/256
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The quadratic equation 8x² + 16x + 3 = 0 can be solved by using the quadratic formula.
The given quadratic equation is : 8x² + 16x + 3 = 0
Comparing this equation with ax² + bx + c = 0 we get :
a = 8 , b = 16 and c = 3
Now we will use the quadratic formula:
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]
Now we will substitute the values in this formula to find the values of x that satisfy the quadratic equation.
[tex]{\displaystyle x={\frac {-16\pm {\sqrt {16^{2}-4\times8\times3}}}{2\times8}}}\\\\{\displaystyle x={\frac {-16\pm {\sqrt {160}}}{16}}}\\\\[/tex]
The values for x that satisfy the equation are the roots or zeros of both expressions on the left-hand side of the equation. In a quadratic problem, there can only be two possible solutions.
A problem is said to have a double root if there is only one solution. One real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if all the coefficients have real values are the only options.
Hence the values of x are : [tex]-\frac{4-\sqrt{10}}{4}[/tex] and [tex]-\frac{4+\sqrt{10}}{4}[/tex].
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a scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. in 1990s, the average amount of time spent playing computer games was 10.2 hours per week. is the amount of time greater than that for this year? ten students were surveyed and asked how many hours they spent playing video games. the test statistics is equal to 0.45. what is the p-value?
Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to ten students who were surveyed and asked how many hours they spent playing video games.
At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:
H[tex]_o[/tex] = μ=10.2
At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:
H₁=μ> 10.2
Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.
Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.
Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007
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If 2,000 mL can fit in a certain glass jar, how many liters can fit in 4.5 of these jars?
Answer: 9,000 mL
Step-by-step explanation:
If you multiply 2,000 by 4, you would get 8,000 & if you multiply .5 by 2,000, you get 1,000. If you add both the totals, you would end up with a final answer of 9,000 mL.
Need help quick look at photo
Answer: the slope is unidentified
Step-by-step explanation:
Plot the locus points for x = y
The the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
x = y
We have the function -
y = x
Now, we can define locus as -
A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.
This equation -
y = x
is a straight line.
Refer to the graph attached.
The slope of the line is [m] = 1
The [y] intercept is at [c] = 0
Therefore, the the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
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a veterinarian visits a cat shelter housing 432 cats. of 42 randomly selected cats that she studies, she finds that 14 cats suffer from separation anxiety. of those, 10 cats were orphaned as kittens. what proportion of cats in the sample suffer from separation anxiety? round your answer to the nearest percent. responses 3% 3% 24% 24% 33% 33% 71%
The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:[tex]\frac{14}{42}*100[/tex]%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
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The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:(14/42)*100%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
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In triangle ABC, m angle A=45 degrees. The altitude divides side AB into two parts of 20 and 21 units. Find BC
The 20 and 21 unit leg lengths of the right triangles ΔACD and ΔBCD formed by the altitude CD indicates, by using Pythagorean theorem that the length of BC is 29 units
What is a right triangle?A right triangle is a triangle that has two perpendicular sides. The altitude of a triangle is perpendicular to the base of the triangle, forming two right triangles in acute triangle.
Angle ∠A = 45°
The length of the segment the altitude CD divides AB into = 20 and 21 units
Please find attached a drawing created using MS Word based on the question parameters.
[tex]tan(\angle A) = \dfrac{CD}{AD}[/tex]
AD = 20
Therefore;
[tex]tan(45^{\circ}) = \dfrac{CD}{20}[/tex]
CD = 20 × tan(45) = 20
Pythagorean theorem applied to right triangle ΔCBD, indicates that;
[tex]\overline{BC}^2[/tex] = [tex]\overline{CD}^2[/tex] + [tex]\overline{DB}^2[/tex]
DB = 21 units, which gives;
[tex]\overline{BC}^2[/tex] = 20² + 21² = 841
BC = √(841) = 29
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18) 7-(-1)²-(-9)
Whoever explains the best I will give Brainlyist or whatever it’s called
ANSWER: 137
Step-by-step explanation:
This can be rewritten as:
18 × 7 - (-1)² -(-9)
Using BODMAS
firstly open the brackets using the negative sign, we have;
18 × 7 +1² + 9
Now you can apply your BODMAS.
126 + 1 + 9
ANS = 137
This shows a diagram.
What is the value of x?
Step-by-step explanation:
[tex](3x + 2) + x = 180 \\ 3x + x = 180 - 2 \\ 4x = 178 \\ x = 44.5[/tex]
Answer:
x° = 44.5°
Step-by-step explanation:
x° and (3x + 2)° are supplementary angles, which means they add up to 180°.
Equation: x + 3x + 2 = 180
Step 1: Combine like terms.
[tex]\implies 4x + 2 = 180[/tex]
Step 2: Subtract 2 from both sides.
[tex]\implies 4x + 2 - 2 = 180 - 2[/tex]
[tex]\implies 4x = 178[/tex]
Step 3: Divide both sides by 4.
[tex]\implies \dfrac{4x}{4}=\dfrac{178}{4}[/tex]
[tex]\implies x = 44.5[/tex]
Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.
[tex]\implies 3(44.5)+2[/tex]
[tex]\implies 135.5[/tex]
Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.
decide whether inductive reasoning or deductive reasoning is used to reach the conclusion: "what goes up must come down. the ball went up. it will come down."
The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.
What is a deductive reasoning?The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.
The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.
In conclusion, the correct option based on the information is a deductive reasoning.
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Rachel used 12 centimeters of tape to wrap 3 presents. How many presents did Rachel wrap if she used 20 centimeters of tape?
The number of wrapped present with 20 centimeters of tape is given as 5 presents.
How to solve for the wrapped presentsIn this question, we have the following values
12 centimeters of tape was used to wrap 3 presents
hence we would have
12 = 3 presents - - - - 1
Then we are to know the presents that would be wrapped with the use of 20 centimeters of tape.
we would have
20 = ? presents - - - 2
We have to bring the equations together
12 = 3 presents
20 = ? presents
? is the presents that is to be wrapped with 20 centimeters of tape. It is our unknown.
We would have to cross multiply
12 x ? = 3 x 20
12? = 60
We would have to divide through by 12 in order to get the unknown
? = 60 / 12
? = 5
Hence the number of presents that she wrapped is given as 5
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The sum of the first three terms of a G.p is half its sum to infinity.find the positive common ratio
Solve the inequality 2m - 125 or 5m> -25.
Answer:
m = -5
Step-by-step explanation:
I'm not sure of the first part, but this is how to solve the second:
5m > -25
5m/5 > -25/5
m = -5
please help, I will really appricaite it :)
Step-by-step explanation:
uploading the picture is an excellent way to make sure we get the original problem definition.
but I just answered this (even without the picture). so, you need it again ?
X=3/5
Y=1/3
z=2 4/5
work out Z + X x Y
The value of the summation will be equal to 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that X=3/5, Y=1/3, and z=2⁴/₅.
The value of the Z+ ( X x Y ) will be calculated as,
E = Z + ( X x Y )
E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )
E = 14 / 5 + 1 / 5
E = 15 / 5
E = 3
Therefore, the value of the summation will be equal to 3.
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The points (2, -4), (x, y), A, and B all lie on the line.
Find an equation relating x and y. (Lesson 2-11)
An equation relating x and y is given by y = 3x/4 - 11/2.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
For the slope of this line using point AB, we have:
Slope of AB = (2 - (-1))/10 - 6)
Slope of AB = (2 + 1)/4
Slope of AB = 3/4
Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:
3/4 = (y + 4)/(x - 2)
3(x - 2) = 4(y + 4)
3x - 6 = 4y + 16
4y = 3x - 6 - 16
4y = 3x - 22
y = 3x/4 - 22/4
y = 3x/4 - 11/2
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a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose ) two dozen croissants with at least two of each kind?
There are 6188 ways are there to choose two dozen croissants with at least two of each kind.
A combination is the combination of two or more distinct things. Although it is not necessary to combine things in pairs, the term "combining" comes from the Latin word for "joining together two by two."Combination repetition is permitted.
There are six different varieties of croissants (n = 6), and we must select two dozen croissants (r = 12) with at least two of each type.
In combination, The order does not matter and repetition is allowed.
thus, according to combination,
[tex]C( n+ r - 1,r) = \frac{(n + r - 1 )!}{r! (n-1)!} \\\\C( 6+ 12 - 1,12) = \frac{(6 + 12 - 1 )!}{12! (6-1)!} \\\\ = \frac{17!}{12!5!} \\= 6188[/tex]
thus, there are 6188 ways possible to choose two dozen croissants with at least two of each kind.
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Find the equation of the line shown in the pic (please help)
Answer:
-1/4 * x + 2
Step-by-step explanation:
first figure out the slope. You can easily read the point where the graph is crossing the y axis. From there, more right and read how much the graph goes up wor down. You see the graph goes down, so you know the slope must be a negative value. To get the full value of the slope, you need to work out how much the graph goes down if you go 1 right. So when you move 1 right from the point 2 on the y axis, you can't easily read how much it went down. But you can see that the graph passes the pont of x = 4 and y = 1. So it went 4 right and 1 down. To only got 1 down you divide y/x -> 1/4
So the slope is -1/4
and because the graph hits the y axis at 2 and not at 0, you need to add +2 to the equation.
a surgeon developed a new procedure for knee replacement surgery. to study its effectiveness, they recruit patients who need knee replacement surgery and are willing to participate in a blind study. the surgeon randomly assigns each volunteer to receive either the new procedure or the standard procedure. after the surgeon performs the procedure, they monitor each patient to see if one group has better results than the other. what does it mean for this experiment to be blind?
Answer: The volunteers are unaware of which surgery they receive.
Step-by-step explanation:
Given in a plane the points A(-1,4),B(2,3),C(4,5),D(m,7)
Calculate m knowing that AB // CD
helppppp step by step
Answer:
m = -2
Step-by-step explanation:
slope of AB
(4-3)/(-1-2)= 1/-3 = -1/3
parallel lines have the same slope
slope of CD = -1/3
we can now find the line that passes through the point C
y-5= -1/3(x-4)
y = -1/3 x +4/3 +5
y = -1/3 x + (4+15)/3
y = -1/3 x + 19/3
this line must passes also through the point D
we know its y, so:
7 = -1/3 x + 19/3
(7 * 3) = (-1/3 x + 19/3) * 3
21 = - x + 19
x = 19 - 21
x = -2