Answer:
A) 22.63
Step-by-step explanation:
Well as we all know to find the area of a parallelogram u have to multiply Base by Height = Area ; Base×Height=Area
As so: 7.3×3.1=22.63
Final answer 22.63
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12
=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)
=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9
By splitting the quadratic equation into factors we get,
[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)
and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
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the unit rate of 55 and 8
Answer:6.875
Step-by-step explanation:
What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices
11, 10, 9
12, 10, 8
0, 10, 20
1, 2, 3
Answer:
The first 3 choices are:
12, 10, 8
Step-by-step explanation:
n represents a variable, in which you start at 1 and increase by 1.
So, we first start at 1.
12 - 2(1 - 1) = 12 - 2(0) = 12
Now, 2.
12 - 2(2 - 1) = 12 - 2(1) = 10
Now, 3.
12 - 2(3 - 1) = 12 - 2(2) = 8
So, we result in 12, 10, and 8.
#teamtrees #WAP (Water And Plant)
Answer:
B
Step-by-step explanation:
an = 12 - 2(n - 1)
a1 = 12 - 2(0)
a1 = 12
==============
a2 = 12 - 2(2 - 1)
a2 = 12 - 2
a2 = 10
==============
a3 = 12 - 2(3-1)
a3 = 12 - 2*2
a3 = 8
I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.
Please help me out ill give more points!
fill in the blank pls i need help
Answer:
x=5
y=30
y=15
Step-by-step explanation:
BRAINLIST ASAP
san was charged $1,050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it?
Hmmm , can someone help with this one?
Answer:
answer choice c
Step-by-step explanation:
answer the question in the photo , its the easy one please help me ;((
9514 1404 393
Explanation:
The problem statement tells you what to do.
25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n
(5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5
5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent
(5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible
(1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n
y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Does anyone know this?
Answer:
its first one
Step-by-step explanation:
37.5/15=2.5
42.5/17=2.5
52.5/21=2.5
The average size of single-family homes in the U.S. is 2,390 square feet. A random sample of 100 homes in California yielded the mean of 2,507 square feet and the standard deviation of 257 square feet. Do the sample data provide sufficient evidence to conclude that the mean size of California homes exceeds the national average? Test using significance level of 0.01. (7 Points)
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the mean size of California homes exceeds the national average
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 2390 \ ft^2[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 2 507 \ ft^2[/tex]
The standard deviation is [tex]s = 257 \ ft^2[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu = 2390[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2390[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{2507 - 2390 }{ \frac{ 257 }{ \sqrt{100 } } }[/tex]
=> [tex]z = 4.55[/tex]
From the z table the area under the normal curve to the left corresponding to 4.55 is
[tex]p-value = P( X > 4.55 ) = 0.00[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the mean size of California homes exceeds the national average
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.
This question is incomplete, the complete question is;
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.
starting position: 1 2 3 4 5 6
Number of wins : 44 33 50 32 45 36
options
a) 15.541
b) 9.326
c) 6.750
d) 12.592
Answer:
the chi-square test statistic is 6.75
Option c) 6.750 is the correct answer
Step-by-step explanation:
Given that;
starting position: 1 2 3 4 5 6
Number of wins : 44 33 50 32 45 36
Given that we have 240 races
Using x² test.
we have to calculate the expected frequency
so
E(1) = 240 × 1/6 = 40
E(2) = 240 × 1/6 = 40
E(3) = 240 × 1/6 = 40
E(4) = 240 × 1/6 = 40
E(5) = 240 × 1/6 = 40
E(6) = 240 × 1/6 = 40
Now we know that,
x²_cal = [∑( Oi - Fi)²] / Fi
so
x²_cal = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40
= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4
= 6.75
Therefore the chi-square test statistic is 6.75
Option c) 6.750 is the correct answer
Help help help help help
Answer:
Option 1 and the bottom right answer.
Step-by-step explanation:
You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion
Answer:
One's age is not independent of one's willingness to wear masks in public.
Step-by-step explanation:
The hypothesis for the study can be defined as follows:
H₀: One's age is independent of one's willingness to wear masks in public.
Hₐ: One's age is not independent of one's willingness to wear masks in public.
It is provided that the test statistic value is, t = 16.5.
And the critical value of the test is, c = 7.82.
t = 16.5 > c = 7.82
Since the test statistic value is more than the critical value, the null hypothesis will be rejected.
Thus, concluding that one's age is not independent of one's willingness to wear masks in public.
what was josquin des prez 3 favorite pieces?
Answer:
While in Ferrara, Josquin wrote some of his most famous compositions, including the austere, Savonarola-influenced Miserere, which became one of the most widely distributed motets of the 16th century; the utterly contrasting, virtuoso motet Virgo salutiferi; and possibly the Missa Hercules Dux Ferrariae, which is ...
Step-by-step explanation:
In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How many
degrees is ZT?
I need help please but if you can give me the step by step it would be helpful thank you
Answer: (x^2 -6x +10)(x - 2)
All the steps are shown in the picture below:
In a bag, the ratio of red beads to blue beads is 3∶ 5. Beads are added to the bag, but the ratio of red beads to blue beads remains the same.
In this question, we use the ratio given to complete the table.
Doing this, the completed table is:
3 - 5 - 8
6 - 10 - 16
9 - 15 - 24
12 - 20 - 32
60 - 100 - 160
75 - 125 - 200
In a bag, the ratio of red beads to blue beads is 3∶5.
This means, that for each 3 beads, there are 5 blue beads, and for each 8 beads, there are 3 red and 5 blue.
Third line:
15 blue, the amount of red is 3/5 of this, so:
[tex]\frac{3}{5}(15) = 3(3) = 9[/tex]
Thus, there are 9 red, 9 + 15 = 24, and thus, the third line is:
9 - 15 - 24
Fourth line:
32, 3/8 are red and 5/8 are blue, so:
[tex]\frac{3}{8}(32) = 3(4) = 12[/tex]
[tex]\frac{5}{8}(32) = 5(4) = 20[/tex]
Thus, the fourth line is:
12 - 20 - 32
Fifth line:
100 blue, the amount of red is 3/5 of this, so:
[tex]\frac{3}{5}(100) = 3(20) = 60[/tex]
60 + 100 = 160
Thus, the fifth line is:
60 - 100 - 160
Sixth line:
75 red, the amount of blue is 5/3 of this, so:
[tex]\frac{5}{3}(75) = 5(25) = 125[/tex]
75 + 125 = 200.
Thus, the sixth line is:
75 - 125 - 200
The complete table is:
3 - 5 - 8
6 - 10 - 16
9 - 15 - 24
12 - 20 - 32
60 - 100 - 160
75 - 125 - 200
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True or False? A circle could be circumscribed about the quadrilateral below.
OA. True
OB. False
Answer:
True
Step-by-step explanation:
The solution is, OA. True, A circle could be circumscribed about the quadrilateral below.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
from the given diagram, we get,
the angles of each side = 90 degree
and, as per shape, it is a rectangle.
now, we know that,
If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.
now, we get,
Here, the opposite sides are 90 and 90 (=180),
so, we have,
which means that it is true that a circle can be circumscribed about the quadrilateral above.
Hence, The solution is, OA. True, A circle could be circumscribed about the quadrilateral below.
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1
Which expression is NOT equivalent
to 1.24 X 0.9?
(124 x 90) x (160 x 100)
(124 X 9) * (100 x 10)
(0.124 X 9) X (10 x
(10 x 10)
(124 x 9) * (10 x 10)
The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.
Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.
B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.
C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.
However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.
Therefore, expression D is not equivalent to 1.24 × 0.9.
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lIf f) = 6x -4, what is f(x) when x= 8?
Solve the proportion.
47/39 = b/2
A: 94/39
B: 78/47
C: 47/78
D: 39/94
Answer:
94/39 is the correct answer
Answer:
The answer above is correct! A. 94/39
Step-by-step explanation:
E2020!
Write the given expression as a single trigonometric function.
StartStartFraction tangent (StartFraction 3 pi Over 7 EndFraction) minus tangent (StartFraction 2 pi Over 5 EndFraction) OverOver 1 + tangent StartFraction 3 pi Over 7 EndFraction) tangent (StartFraction 2 pi Over 5 EndFraction) EndEndFraction
Answer:
tan (pi/35)
Step-by-step explanation:
edge 2020
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The trigonometric function is given below.
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
We know that the formula,
tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]
Then the expression is written as,
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
⇒ tan [(3π/7) + (2π/5)]
⇒ tan (29π / 35)
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
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A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, how many cups of cranberry juice are needed for 1 gallon of punch? Use / as a fraction bar.
pls help me as fast as u can
Answer:
1.5
Step-by-step explanation:
since 2 cups equals 3 gallons you can divide 3 by 2 and get 1.5. so there are 1.5 cups per gallon hope it helps
Which expression is equivalent to StartFraction 1 Over sine (2 x) EndFraction minus StartFraction cosine (2 x) Over sine (2 x) EndFraction?
tan(x)
–tan(x)
StartFraction 1 Over cosine (x) EndFraction
Negative StartFraction 1 Over cosine (x) EndFraction
Answer:
Tan(x)
Step-by-step explanation:
JUST TOOK THE TEST
tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.
To determine equivalent 1/sin2x - cos2x/sin2x.
tan(x) is tangent of x here, tan is trigonometric operator.
Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
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Find the number between 100 and 999 such that
the sum of the three digits is 12.
the hundreds digit equals the sum of the tens digit and the ones digit.
the hundred digit equals one greater than the tens digit.
PLEASE HELP!!!!!! I AM BEING TIMED!!!!
A garden hose fills a 2 gallon bucket in five seconds the number of gallons G is the proportional to the number of seconds T that the water is running select all the equations that represent the relationship between G and T
Answer:
A and E
Step-by-step explanation:
um for some reason my answer was deleted…
anyways, I think its A and E because the equation should be g = 2/5t and 0.4 is equal to 2/5 so that means that E is also correct.
V = 2s^3
If s = 3.5 units, what is the value of V? The photo shows the answers available.
Answer:
21.0 Cubic Units
Step-by-step explanation:
2 times 3.5 = 7
7 times 3 = 21
What’s five divided by 50
Answer:
0.1
Step-by-step explanation:
a cleaning solution calls for a ratio of 1 cup of liquid cleanser to 6 cups of water. To make 42 cups of cleaning solution, how many cups of water are needed?
Find the value of the following expression:
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps.
Answer:
9Step-by-step explanation:
(2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =2⁰ · 3² =1 · 9 =9