Answer:
Step-by-step explanation:
the answer is a
If you were to add all odd numbers between 1 and 11 (both inclusive), the result would be
Final answer:
By adding all the odd numbers from 1 to 11 inclusive (1, 3, 5, 7, 9, 11), the sum is 36.
Explanation:
If you were to add all odd numbers between 1 and 11 (both inclusive), the odd numbers are: 1, 3, 5, 7, 9, and 11. To find the result of adding these numbers together, you simply add each one sequentially:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
So, the result of adding all the odd numbers from 1 to 11 inclusive is 36.
Are the two triangles below similar?
Yes, because there are two pairs of congruent corresponding angles
No, because there are not two pairs of congruent corresponding angles
Yes, because the corresponding sides are proportional
No, because the corresponding sides are not proportional
Answer :- Yes the two triangles are similar because there are two pairs of congruent corresponding angles.
Explanation:-
In Δ ABC
∠A=30° , ∠C=65 °
By angle sum property of triangle
∠A + ∠B + ∠C= 180°
⇒∠B= 180°-∠A-∠C=180°-30°-65°=85°
⇒∠B=85°
Now in ΔABC and ΔDEF
∠A=∠D=30° and ∠B=∠E=85°
⇒ there are two pairs of congruent corresponding angles.
So by AA-similarity criteria
ΔABC ≈ ΔDEF
Answer:
Yes, because there are two pairs of congruent corresponding angles.
Step-by-step explanation:
Two triangles ABC and DEF are given .
The measure of angles in triangle ABC are:
m<A=30°,m< C=65°,
m<B= 180-(30+65)=85°(measure of sum of angles in any triangle is 180°)
In triangle DEF the measure of the angles are :
m<D=30°,m<E=85°,m<F=180-(30+85)=65°(sum of angles in a triangle add to 180°)
In triangles ABC and DEF,
< A=<D=30°
<B=<E=85°
<C=<F=65°
The two triangles are similar by AAA property.
What is the common difference of a 43-term arithmetic sequence where the first term is -13 and the sum is 9,374?
Sam scored 43 48 and 42 points on 3 test how many points should he get on the fourth test to get in average score of 50
Calculate each unit rate
$11.49 for 3 packages
simplify 7p³ + 2m³ - 6m³ + 4p - 9p + 6p³
a) -4m³ + 8p²
b) 8p² - 4
c) 4m³ - 13p³ + 5p
d) -4m³ + 13p³ - 5p
Final answer:
The simplified expression of 7p³ + 2m³ - 6m³ + 4p - 9p + 6p³ is -4m³ + 13p³ - 5p, which is option d).
Explanation:
To simplify the expression 7p³ + 2m³ - 6m³ + 4p - 9p + 6p³, we need to combine like terms.
Like terms have the same variable raised to the same power.
In this case, terms with p raised to the third power can be combined, and terms with m raised to the third power can also be combined, as well as the terms with just p.
Combine terms with p³: 7p³ + 6p³ = 13p³.Combine terms with m³: 2m³ - 6m³ = -4m³.Combine terms with p: 4p - 9p = -5p.Now the expression is simplified to -4m³ + 13p³ - 5p, which corresponds to option d).
Merlin industries bought a laptop for $2100. It is expected to depreciate at a rate of 14% per year. What will the value of the laptop be in 5 years? Round to the nearest dollar.
HELP ME PLEASE !! IM SO CONFUSED
House is 50.0 ft long and 26 ft wide and has 8.0-ft- m high ceilings. what is the volume of the interior of the house in cubic meters and in cubic centimeters?
Choose the point on the terminal side of -45°. (-3, -3) (4, -4) (5, 5) (-2, 2)
Which answer correctly describes the relationship between two of the lines in the figure?
(15 POINTS) Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0).
An equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0) is [tex]\bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]
The correct answer is option (A)
What is equation of ellipse?"The standard form of equation of ellipse with center (0, 0) is, [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]
What are vertices of the standard ellipse?"The vertices of the standard ellipse [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex] are [tex](\pm a,0)[/tex] "
What is focus of the standard ellipse?"The foci of the standard ellipse [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex] are [tex](\pm c,0)[/tex], where [tex]c^{2} =a^{2}- b^{2}[/tex] "
For given question,
The center of the ellipse is at the origin.
Using the standard form of equation of the ellipse,
[tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]
A vertex at (13, 0)
⇒ (a, 0) = (13, 0)
⇒ a = 13
And a focus at (12, 0).
⇒ (c, 0) = (12, 0)
⇒ c = 12
We know, [tex]c^{2}= a^{2}- b^{2}[/tex]
Now, we find the value of b i.e., minor axis
[tex]\Rightarrow 12^{2} =13^{2}- b^{2}\\\\\Rightarrow b^2=169-144\\\\ \Rightarrow b^2=25\\\\\Rightarrow b=\pm 5[/tex]
Substituting these values in the standard form of equation of ellipse with center (0, 0),
[tex]\Rightarrow \frac{x^2}{a^2} +\frac{y^2}{b^2} =1\\\\\Rightarrow \bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]
Therefore, an equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0) is [tex]\bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]
The correct answer is option (A)
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What is 320 1/4 rounded to the nearest whole number?
Please help me ASAP.
David had a coupon for the grocery store. He graphed on the x-axis what his total bill would be if he didn’t use the coupon and graphed on the y-axis what his total bill would be if he used the coupon.
Based on the information in the graph, if David’s bill came to $66 after the coupon was applied, how much would his bill have been if he hadn’t used the coupon?
a.$64
b. $65
c. $67
d. $68
Answer:
d. $68Step-by-step explanation:
First, let's find the equation of the line.
The slope is defined by
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Where we are gonna use points (2,0) and (9,7).
[tex]m=\frac{7-0}{9-2}=\frac{7}{7}=1[/tex]
Then, we use the point-slope formula to find the equation.
[tex]y-y_{1} =m(x-x_{1} )\\y-0=1(x-2)\\y=x-2[/tex]
So, if David's bill came to $66 after coupon, it means [tex]y=66[/tex].
Replacing this value in the equation, we have
[tex]y=x-2\\66=x-2\\x=66+2\\x=68[/tex]
Therefore, the price without coupon is $68.
Suppose the line of best fit is being found for some data points that have an r-value of 0.657. If the standard deviation of the x-coordinates is 2.445, and the standard deviation of the y-coordinates is 9.902, what is the slope of the line to three decimal places?
Answer: 2.661
Step-by-step explanation:
A P E X
3. what is the simplified form of x+4/7 - x+3/x+5
The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]
Simplify the expression, then we have
⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]
⇒ [(x + 4)(x + 5) - 7(x + 3)] / [7(x + 5)]
⇒ [x² + 9x + 20 - 7x - 21] / [7(x + 5)]
⇒ (x² + 2x - 1) / 7(x + 5)
The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.
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what is the exact solutions of x2=5x+2
Answer:
The answer has a positive 5 and 33.
Step-by-step explanation:
I used a calculator.
A catering service offers 12 appetizers, 6 main courses, and 7 desserts. A banquet chairperson is to select 6 appetizers, 2 main courses, and 5 desserts for a banquet. In how many ways can this be done?
Eduardo bought a refrigerator with a sticker price of $2400. If he paid $35 a week for two years, what was the approximate markup rate on the refrigerator?
A. 65.9%
B. 51.7%
C. 34.1%
D. 75.8%
Answer:
The correct answer is option B
Step-by-step explanation:
Payment done per week [tex]= 35 dollar\\[/tex]
Total number of weeks in a year [tex]= 52 weeks\\[/tex]
Total number of weeks in two year [tex]= 104 weeks\\[/tex]
Total amount paid in two weeks
[tex]= 35 * 104\\=3,640\\[/tex]
The make up rate is basically the amount paid over and above $2400
[tex]=(\frac{3640 - 2400}{2400} ) * 100\\= 51. 7 perecent[/tex]
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
Answer:
the value of x= 4.5
Step-by-step explanation:
If x varies directly with y and x = 3.5 when y = 14
x varies directly with y , so equation is x= ky
where k is the constant of proportionality
x = 3.5 when y = 14, use the given values and find out k
Plug in the given values in x=k y
3.5= k * 14
Divide by 14 on both sides
0.25= k
So the value of k = 0.25
Now find out x when y= 18
x= ky
x= 0.25 * 18= 4.5
Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger cost?
A. 1 .85
B. $3.20
C. $6.80
D. $6.55
E. $3.50
Your Cell Phone plane cost 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan
Answer:
F( x) = 0.35 x + 55
15 * 4 2/3 please help
4 2/3 = 14/3
15 = 15/1
14/3 * 15/1 = 14*15=210, 3*1 = 3
210/3 = 70
answer is 70
A company performs linear regressions to compare data sets of two similar products. If the residuals for brand A form an increasing curve, and the residuals for brand B form a U-shaped pattern, what can be concluded?
A. Brand A's data are probably linear, while brand B's data are probably not. B.Neither data is likely to be linear.
C.Both data sets are probably linear.
D.Brand B's data are probably linear, while brand A's data are probably not.
Brand A's data are probably linear, while brand B's data are probably not.
What can be concluded from a graph?A graph shows how much a set of data fits into a pattern. This data is defined by the regression line.
Now, when we have the graph for brand A as an increasing curve, and the residuals for brand B form a U-shaped pattern, we can conclude that Brand A's data are probably linear, while brand B's data are probably not.
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I won tickets to a trip for four to the Super Bowl. I have eight friends but I can only bring three of them. In how many ways can I form my Super Bowl party?
Answer:
56
Step-by-step explanation:
-10-2v<6 and 6v+12<-6.
need some help with this problem i keep messing a step
C: -5/2 D: 5/2 help please
Which statement is true about the equations –3x + 4y = 12 and x – y = 1? The system of the equations has exactly one solution at (–8, 3). The system of the equations has exactly one solution at (–4, 3). The system of the equations has no solution; the two lines are parallel. The system of the equations has an infinite number of solutions represented by either equation.
The system of equations has exactly one solution, but it is located at (16,15), not (–8, 3), (–4, 3) or any other points. So, none of the provided options are true.
Explanation:The task is to identify the statement that is correct about the system of equations –3x + 4y = 12 and x – y = 1. To discover this, we must solve the system which consists of these two linear equations. Adjust equation two to be in the same format as equation one by adding y to both sides which gives x = y + 1. Substitute it into the first equation: -3(y + 1) + 4y = 12, which simplifies to -3y - 3 + 4y = 12, giving y = 15. Substitute y = 15 to the second equation, it gives us x = 16. Hence, none of the provided solutions is correct, because the system has exactly one solution at (16,15).
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A coach wants to know if football players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. What statistic should he study?
The statistic that the coach should study is mean or the average score of the two teams. If the coach wants to know if football players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. After counting them, add the scores of the group that he divided and then divided it by the number of player in that group to get an average score on teams that warm up or do not warm up before the game.
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps below. Find the step where Joyce went wrong. (1 point)
Step 1: x equals negative 8 plus or minus the square root of the quantity eight squared minus four times one times seven, end quantity, all over two times one.
Step 2: x equals negative 8 plus or minus the square root of sixty-four minus twenty-eight all over two times one.
Step 3: x equals negative 8 plus or minus the square root of thirty-six all over two times one.
Step 4: x equals negative 8 plus or minus six all over two.
Step 1
Step 2
Step 3
Step 4
Her mistake is in the first step, she wrote the equation incorrectly.
Solving quadratic equations:
A general quadratic equation:
ax^2 + bx + c = 0
has the solutions:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, the equation is:
y = x^2 - 8x + 7
And what Joyce writes in each step is:
Step 1:
x = (-8 ± √(8^2 - 4*1*7))/(2*1)
Then we can already see the mistake.
Notice that in the given equation, we have:
b = -8
And the general solution has:
x = (-b ± √(b^2 - 4ac))/(2a)
-b would be equal to 8, then what Joyce must have written here is:
x = (8 ± √((-8)^2 - 4*1*7))/(2*1)
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