which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2
Answer:
-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7
Step-by-step explanation:
I can prove that 2=1, where is the error?
X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1
I subtracted -2
because thats the # I chose to subtract with.
The mistake is when you try to divide by X - 1, because you can't divide by zero.
Where is the problem in this procedure?Here we start by defining:
X = 1
The second step makes sense, we are adding the same value in both sides:
X + X = X + 1
2X = X + 1
Now subtract 2 in both sides:
2X - 2 = X + 1 - 2
2X - 2 = X - 1
Here is the mistake, you divide both sides by X - 1
But we already defined that X = 1
Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.
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What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
PLEASE HELP ME ANSWER THIS QUESTION I WILL MARK YOU BRAINLIEST
We can identify the y-intercept very easily. Since, The equation is given in slope-intercept form:
\(y = mx + b\)
Where,
m is slopeb is y-interceptCompare to the given equation:
m = -1/4b = -5Function 2 :Observe the point where function meets the y-axis
The point of meeting is (0,-5)Thus, The y-intercept is -5\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)
\( - 5 = - 5\)
Therefore, Both functions have the same y-intercepts...~
which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
What is the equation of the circle with center (0,0) that passes through the point (-6,-6)? need answers right now
O(x+6)² + (y+6)² = 72
0x² + y² = 0
O x² + y² = 72
○(x+6)² + (y+6)² = 0
The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:
(x + 6)² + (y + 6)² = 72
Please note that the equation represents the circle with center (0,0) and radius √72.\(\)
Answer:
The equation of a circle with center (0,0) that passes through the point (-6,-6) is:
(x - 0)² + (y - 0)² = r²
where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:
r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72
Therefore, the equation of the circle is:
x² + y² = 72
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x)
Complete Question
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
Answer:
The average is
\(AV = 403\)
The value of x is
\(x = 4\)
Step-by-step explanation:
From the question we are told that
The equation is \(f(t) = 12e^x\)
The points consider is [-6 , 6]
Generally the average value of the function over the given interval is mathematically represented as
\(AV = \frac{1}{z-w} \int\limits^ z_w {f(x)} \, dx\)
\(AV = \frac{1}{ 6 - (-6)} \int\limits^{6}_{-6} { 12e^x} \, dx\)
\(AV = \frac{1}{12 } e^x| \left 6} \atop {-6}} \right.\)
\(AV = e^6 -e^{-6}\)
\(AV = 403\)
Generally when the function equal the average we have that
\(f(x) = 12e^{x} = 403\)
\(e^{x} = 34\)
\(x = ln(34)\)
\(x = 4\)
Given that a x b = 70, work out the value of 3b/a
Answer:
the value of 3b ÷ a is 3 ÷ 70
Step-by-step explanation:
The computation is shown below:
Given that
a × b = 70
So it could be write as
a = 70 ÷ b
And, the value of 3b ÷ a is
= 3b ÷ 70 ÷ b ÷ 1
= 3b ÷ 70b
= 3 ÷ 70
Hence, the value of 3b ÷ a is 3 ÷ 70
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
which fraction is equivalent to -3/2?
PLSS I NEEED HELPP!!
Answer:
-6/4 is equivalent to that
Step-by-step explanation:
Solve for x: 2x - 11 = 7x + 16
Answer:
x=-5.4
Step-by-step explanation:
Answer:
-5.4
Step-by-step explanation:
2x - 11 = 7x + 16
-11 = 5x +16
-27 = 5x
x = -5.4 (-27/5)
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:______.
A. H0 : μ = 0.8 H 1 : μ ≠ 0.8
B. H0 : p ≤ 0.8 H 1 : p > 0.8
C. H0 : p = 0.8 H 1 : p ≠ 0.8
D. H0 : μ ≤ 0.8 H 1 : μ > 0.8
E. H0 : p ≥ 0.8 H 1 : p < 0.8
F. H0 : μ ≥ 0.8 H 1 : μ < 0.8
The test is:_____.
a. left-tailed
b. right-tailed
c. two-tailed
Based on a sample of 200 people, 79% owned cats.
The test statistic is:______.
The p-value is:_____.
Based on this we:_____.
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis.
Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2) \(\sqrt{\frac{pq}{n} }\)
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2) \(\sqrt{\frac{pq}{n} }\)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28 \(\sqrt{\frac{0.8*0.2}{200} }\)
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
helppppppppppppppppppppppppppppppp
Answer:
C. $240
Step-by-step explanation:
30% as a decimal is 0.3
multiply the percent (aka 0.3) by the paycheck (800)
0.3 * 800 = 240
your answer is $240
hope this helps:)
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1. explaination?
The angle m∠J in the right angle triangle is 58.1 degrees.
How to find the angle of a triangle?One of the angle of a right tangle triangle is 90 degrees. The sum of
angles in a triangle is 180 degrees.
Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.
Hence,
tan ∠J = opposite / adjacent
tan ∠J = 15.1 / 9.4
∠J = tan⁻¹ 1.60638297872
∠J = 58.0909229196
Therefore,
m∠J = 58.1 degrees
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the triangles are similar. find the similarity ratio of the first to the second
To get the similarity ratio between both triangles, write down a ratio between two similiar sides. Let's take the base, for example
\(4\colon6\)Simplifying,
\(2\colon3\)Thereby, the similarity ratio between both triangles is:
\(2\colon3\)Ans: Option B
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answer:
2,4 3,5
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Reason:
Choices A through C all result in 8/3 = 2.667 approximately
In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.
Challenge A warehouse store sells 5.5-ounce cans of tuna in packages of 8. A package of 8 cans
costs $16.72. The store also sells 6.5-ounce cans of the same tuna in packages of 3. A package of
3 cans costs $7.02. The store sells 4.5-ounce cans in packages of 5 cans for $7.65. Which
package is the best buy?
A package of the
V-ounce cans is the best buy.
Answer:
Step-by-step explanation:
the warehouse is the best buy because you get 44oz off tuna but if you buy the three pack you get 19.5oz and if you buy the five pack from store you 22.5oz of tuna
so the warehouse has the best deal on tuna
In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.4 letters with a standard deviation of 2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words are selected from each book. Let xC represent the sample mean word length in the children’s book and let xT represent the sample mean word length in the teen novel.
Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution is approximately Normal.
What is the probability that the sample mean word length is greater in the sample from the children’s book than in the sample from the teen novel?
Answer:
Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution
Step-by-step explanation:
2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words
evaluate f(×) for the given value for x. I will send the image
To answer this question, we need to substitute the value of x into the given "rule" for the function as follows:
\(f(x)=x^2+6\Rightarrow f(-2)=(-2)^2+6\Rightarrow f(-2)=4+6\)Therefore, we have:
\(f(-2)=10\)Therefore, the ordered pairs (x, f(x)) are (-2, 10).
We can graph this point on the graph as follows:
Then, if we have other values for x, such as x = -1, x = 0, x = 1, and x = 2, we can follow the same steps as before for each value of x. Then, we need to evaluate the function for each value of x as follows:
x = -1
\(f(-1)=(-1)^2+6=1+6\Rightarrow f(-1)=7\)x = 0
\(f(0)=(0)^2+6\Rightarrow f(0)=6\)x = 1
\(f(1)=(1)^2+6=1+6\Rightarrow f(1)=7\)x = 2
\(f(2)=(2)^2+6=4+6\Rightarrow f(2)=10\)Now, to graph the function, we have the other ordered pairs as follows: (-1, 7), (0, 6), (1, 7), (2, 10).
Then, we can graph those points as follows:
As we can see, this is the graph of a parabola, with vertex (0, 6).
We can see more clearly if we use a graphing calculator as follows:
In summary, to graph the function, we need to evaluate the function for each value of x following the "rule" of the function, in this case we have:
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
solve -3m-2=m-3 what is the answer
Answer:
1/4 or 0.25
Step-by-step explanation:
Find lateral Area
9.7km
A) 178 km²
B) 166. 1 km²
c) 84.4km?
D 135.8 km2
1
A
ns
7km
7km
Answer:
d) 135.8 km²
Step-by-step explanation:
The lateral area of a square-based pyramid is the sum of the areas of its triangular faces.
Area of a triangle = 1/2 × base × height
Given:
base = 7 kmheight = 9.7 km⇒ area of triangular face = 1/2 × 7 × 9.7
= 33.95 km²
Total lateral area = 4 × area of triangular face
= 4 × 33.95
= 135.8 km²
Answer:
135.8 km² {option d}
Step-by-step explanation:
The given information is,
→ Height (h) = 9.7 km
→ Base (b) = 7 km
Formula we use,
→ 1/2 × b × h
The area of the face of triangle will be,
→ x = 1/2 × b × h
→ x = 1/2 × 7 × 9.7
→ x = 1/2 × 67.9
→ x = 67.9/2
→ [ x = 33.95 ]
The lateral area of the triangle will be,
→ 4 × x
→ 4 × 33.95
→ [ 135.8 km² ]
Hence, the lateral area is 135.8 km².
The four cases in which we can solve a triangle are ASA SSA SAS SSS. (a) In which of these cases can we use the Law of Sines to solve the triangle? (Select all that apply.) ASA SSA SAS SSS (b) Which of the cases listed can lead to more than one solution (the ambiguous case)? (Select all that apply.) ASA SSA SAS SSS Use the Law of Sines to find the indicated side x. (Assume a = 310.) x =
The required answers for part (a) and (b) are ASA, SAS and SSS and the value of x is 262.80 units.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
The given problem can be solved as,
(a) In order to apply law of sines at least one angle should be known.
In ASA and SAS this criteria is justified.
(b) When none of the angles are given, there can be more than one solution.
Which implies the case of SSS.
(c) In the given triangle angle ∠C can be found as,
⇒∠C = 180 - (98.4 + 24.6) = 57°.
Now apply the law of sines to obtain x as follows,
x/sin(57°) = a/sin(98.4°)
The value of a is given as 310.
⇒ x/sin(57°) = 310/sin(98.4°)
⇒ x = 262.80.
Hence, the value of x is found as 262.80 units.
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The missing diagram of the triangle is attached here.
2. The table below shows the results of an experiment that relates the height at which a ball is dropped, x, to the height of its first bounce, y.
Drop Height (x) (cm) Bounce Height (y) (cm)
100 26
90 23
80 21
70 18
60 16
Answer:
90 , 23 is the answer
Step-by-step explanation:
For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
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Charles had m yards of material. He used 0.4m yards of material to make a costume, 0.2m yards to make pillows and 0.3m yards to make a bag. Which expression shows how many yards of fabric Charles has left? Check all that apply.
(A) 0.1m
(B) 0.9m
(C) m – 0.9m
(D) (0.4 + 0.2 + 0.3)m
(E) (1 – 0.4 – 0.2 – 0.3)m
(F) m – (0.4 + 0.2 + 0.3)m
(G) m – 0.4m – 0.2m – 0.3m
(H) m – (0.4m + 0.2m + 0.3m) check all that apply
Answer:
(A) \(0.1m\)(C) \(m - 0.9m\)(E) \((1 - 0.4 - 0.2 - 0.3)m\)(F) \(m - (0.4 + 0.2 + 0.3)m\)(G) \(m - 0.4m - 0.2m - 0.3m\)(H) \(m - (0.4m + 0.2m + 0.3m)\)Step-by-step explanation:
To determine how many yards of fabric Charles has left, we need to subtract the total amount of fabric used for the costume, pillows, and bag from the initial amount of fabric (m yards). The total amount of fabric used is:
\(0.4m + 0.2m + 0.3m = 0.9m.\)Now, we can subtract the total used fabric from the initial amount of fabric:
\(m - 0.9m\)The correct expressions that show how many yards of fabric Charles has left are:
(A) \(0.1m\)(C) \(m - 0.9m\)(E) \((1 - 0.4 - 0.2 - 0.3)m\)(F) \(m - (0.4 + 0.2 + 0.3)m\)(G) \(m - 0.4m - 0.2m - 0.3m\)(H) \(m - (0.4m + 0.2m + 0.3m)\)Why are the options correct/incorrect?(A) 0.1m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.(B) 0.9m: This option is incorrect because it represents the amount of fabric Charles used, not the amount he has left.(C) m - 0.9m: This option is correct because it represents the initial amount of fabric (m) minus the total amount of fabric used for the costume, pillows, and bag (0.9m), which gives the remaining amount of fabric.(D) (0.4 + 0.2 + 0.3)m: This option is incorrect because it represents the total amount of fabric Charles used to make the costume, pillows, and bag, not the amount he has left, like option (B).(E) (1 - 0.4 - 0.2 - 0.3)m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.(F) m - (0.4 + 0.2 + 0.3)m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.(G) m - 0.4m - 0.2m - 0.3m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.(H) m - (0.4m + 0.2m + 0.3m): This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.Final answerSo, the correct options are (A), (C), (E), (F), (G), and (H).
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