Answer:
2 times
Step-by-step explanation:
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. a = 4 and b = 3 a = 3 and b = 2 a = 2 and b = 1 a = 1 and b = 4
Answer:
A
Step-by-step explanation:
The completing the square method is important when transforming a quadratic equation to [tex](x - a)^2 =b[/tex] form. The values of a and b are 4 and 3
Given:
[tex]x^2 - 8x + 13 = 0[/tex]
Subtract 13 from both sides
[tex]x^2 - 8x + 13 -13= 0-13[/tex]
[tex]x^2 - 8x= -13[/tex]
-------------------------------------------------------------
Next, we perform the following operations
Take the coefficient (k) of x
[tex]k = -8[/tex]
Divide k by 2
[tex]k/2 = -8/2[/tex]
[tex]k/2 = -4[/tex]
Square both sides
[tex](k/2)^2 = (-4)^2[/tex]
[tex](k/2)^2 = 16[/tex]
Back to the equation, we add 16 to both sides
-------------------------------------------------------------
[tex]x^2 - 8x= -13[/tex]
[tex]x^2 - 8x + 16 = -13 +16[/tex]
[tex]x^2 - 8x + 16 =3[/tex]
Expand the left-hand side
[tex]x^2 - 4x -4x+ 16 =3[/tex]
Factorize
[tex]x(x - 4) -4(x- 4) =3[/tex]
Factor out x -4
[tex](x - 4) (x- 4) =3[/tex]
Express as squares
[tex](x - 4)^2 =3[/tex]
Given that:
[tex](x - a)^2 =b[/tex]
By comparison:
[tex]a =4;\ b =3[/tex]
The values of a and b are 4 and 3, respectively.
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If ∠a = 35°, what does ∠b equal?
These are complementary angles.
If two angles are complementary, then
the sum of their measures is 90°.
Since we know that one of the angles measures 35°, we can find the measure of the other by taking 90 minus the measure of the original angle which in this case is 90 - 35.
So we have 90° - 35° which is 55°
So the measure of the other angle is 55°
Your mom suggested ten different choices for you to eat for lunch over the next week at school. How many different ways can you choose your school lunch? A. 120 B. 252 C. 2,502 D. 30,240
Answer:
B. 252
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:
nCr=n!/r!(n-r)!
n= number of sample points: 10
r= number of sample points in each combination: 5
10C5= 10!/5!(10-5)!
10C5= 10!/5!*5!
10C5= 252
According to this, the answer is that you have 252 different ways to choose your school lunch.
Answer:
it is A 120
Step-by-step explanation:
can i have brainliest
Ms.Thomas took her family and friends to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets costs $9. She spent a total of $129. How many adults went to the movies?
Answer: ijiijijijijijijiijij
Step-by-step explanation:
okjopunnounpoino
The figure shown models a roof truss. Based on the markings, is there enough
information to prove that CED = CGD?
ANYONE KNOW THISS PLEASE IM LOST AND NEED THE ANSWERSS
No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.
Given that, the figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔCED≅ΔCGD.
What is the congruence of a triangle?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
In the ΔCED and ΔCGD
DE=DG (Given)
∠CED=∠CGD (Given)
CD=CD (Common)
SSA congruence is not valid.
No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.
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Adimas found the mean of her 11 math test scores for the first semester. x = StartFraction (76 + 87 + 65 + 88 + 67 + 84 + 77 + 82 + 91 + 85 + 90) Over 11 EndFraction = StartFraction 892 Over 11 EndFraction ≈ 81 Using 81 as the mean, find the variance of her grades rounded to the nearest hundredth. σ2 = Find the standard deviation of her grades rounded to the nearest hundredth.
Answer: 71.36
8.45
Step-by-step explanation:
Answer:
σ2 = 71.36
σ = 8.45
Step-by-step explanation:
got it right on edg
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 30), R(−20, 30), S(−20, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.
Which statement is true?
Why do you think we need to mulltiply the circle area by two?
Answer:
the usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. ... This give a geometric justification that the area of a circle really is "pi r squared".Jan 29, 2008
Step-by-step explanation:
Select the correct answer. The owner of a sporting goods store gathered data about the numbers of men’s, women’s and children’s bicycles sold each month. She used a graphing tool to organize the data in different scatter plots and found these lines of best fit: The relationship between the numbers of men’s, x, and women’s, y, bicycles sold is modeled by the equation y = 0.95x + 0.83, and the correlation coefficient for the data is 0.791. The relationship between the numbers of men’s, x, and children’s, y, bicycles sold is modeled by the equation y = 0.87x + 0.98, and the correlation coefficient for the data is 0.564. The relationship between the numbers of children’s, x, and women’s, y, bicycles sold is modeled by the equation y = 0.73x + 0.91, and the correlation coefficient for the data is 0.945. Which line of best fit can the store owner expect to produce the most reliable predictions?
A. the line modeling the numbers of men’s and women’s bicycles sold
B. the line modeling the numbers of men’s and children’s bicycles sold
C. the line modeling the numbers of children’s and women’s bicycles sold D. All three lines will give equally reliable predictions.
Answer:
Lol I know this is old but for the people who search this up, it has to be C.)
Step-by-step explanation:
the reason i think it's C. is because it says that the correlation is 0.945 which is the strongest out of the rest so therefore it has to be more reliable. Thats my guess tho. Educated guess as teacher call it.
The line of best fit which gives the most reliable predictions is, the line modeling the numbers of children’s and women’s bicycles sold, the correct option is C.
What is the Correlation Coefficient?Correlation coefficient is the value which depicts the linear interdependence of two variables.
Its value lies in between -1 to 1.
The scatter data and the line for the best fit is:
The relationship between
numbers of men’s, x, and women’s, y, bicycles sold is modeled by the equationy = 0.95x + 0.83,
The Correlation coefficient is 0.791.
numbers of men’s, x, and children’s, y, bicycles sold is modeled by the equationy = 0.87x + 0.98
The correlation coefficient is 0.564.
numbers of children’s, x, and women’s, y, bicycles sold is modeled by the equationy = 0.73x + 0.91
The correlation coefficient is 0.945.
The correlation coefficient for the plot numbers of children’s, x, and women’s, y, bicycles sold is 0.945, which shows a strong relationship between the variables and is the most reliable prediction, the correct option is C.
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Solve 5n+26 - 3n = 54
Answer:
the answer for the equation 14
On a coordinate plane, lockers is 5 units to the left and 3.5 units up. Water fountain is 2.5 units to the left and 3 units up. Bleachers is 1.5 units to the right and 2 units up. Exit is 3 units to the left and 2.5 units down. Court is 2.5 units down. Office is 3.5 units to the right and 5 units down. Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (–2.0, 1.50) (1.50, –2.0) (1 and one-half, 2) (1 and one-half, negative 2)
Answer:
(B) (1.50, 2.0)
(E) (1 and one-half, 2)
Step-by-step explanation:
On the coordinate plane
The bleachers is 1.5 units to the right and 2 units up.
1.5 units to the right indicates a positive value on the x-axis. Therefore, the bleachers x-coordinate is 1.5.
2 units up indicates a positive value on the y-axis. Therefore, the bleachers y-coordinate is 2.
Therefore, we can write the bleachers location in the (x,y) coordinate system as: (1.5,2)
The following ordered pairs shows the bleacher's location.
(B) (1.50, 2.0)(E) (1 and one-half, 2)Answer:
B and E
Step-by-step explanation:
I have two fair spinners. The first has the numbers 1, 2, 3 and 4. The second has the numbers 2, 3, 4 and 5. I spin both spinners and multiply the scores. What is the probability that the number I get is odd?
Step-by-step explanation:
There are 4 * 4 = 16 outcomes from spinning these spinners. You get an odd number by multiplying an odd number by an odd number. Since there are 2 odd numbers on both spinners the successful outcomes are 2 * 2 = 4 so probability is 4 / 16 = 1 / 4.
how to write 70 persent as fraction
Answer: 70% = 7/10
Percent means amount out of a hundred. That means
70% = 7/10
This may be simplified to get 7/10
Hope this helps...
Have a good day and stay safe <3
Answer:
70% as fraction is 7/10
Step-by-step explanation:
This is the correct answer because if you do 70% by 100% it will be 70/100. If you want it in the simplest form then just write it 7/10. If you don't want the simplest form write 70/100.
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is ( ,
Answer:
x=0.5 and y=5
Step-by-step explanation:
8x+7y=39...eqn(1)×-14
4x-14y=-68...eqn(2)×7
we now have,
-112x-98y=-546
-(28x-98y=-476)
-140x÷-140 =-70÷-140
x=0.5
to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...
so I'm using eqn 1.
8x+7y=39
8(0.5)+7y=39
7y=39-4
7y÷7=35÷7
y=5
therefore, x=0.5, y=5
proof: substitute both x and y values to get you the same answer as the original solutions in both equations.
we have,
8(0.5)+7(5)=39
4(0.5)-14(5)=-68
Answer:
1/2 or 1.5 and 5
(1/2 , 0.5)
Step-by-step explanation:
i got it right...
In a circle whose radius is 12, find the area of sector, in terms of , whose central angle
measures 45°
Answer:
56.52 units² or 18π units²
Step-by-step explanation:
The formula for the area of a sector is:
A = πr²(x/360°)
where r is the radius and x is the measure of the central angle
Let's substitute the given measures into this equation:
A = πr²(x/360°)
A = (3.14)(12²)(45/360)
Solve:
A = (3.14)(12²)(45/360)
A = (3.14)(144)(45/360)
A = (452.16)(45/360)
A = (452.16)(.125)
A = 56.52
Therefore, the area of the sector is 56.52 units² or 18π units²
?
Point C (2, 2) is the center of the circle. What is the ratio of the
length of AC to the length of DC ?
1:2
2:1
1:1
3:1
Answer:
1:1
Step-by-step explanation:
This is the right answer for Edmentum and Plato users.
Like and Rate!
The ratio of the length of AC to the length of DC is 1:1.
How do you calculate a ratio?Divide records A through statistics B to locate your ratio. In the example above, 5/10 = 0.5. Multiply by using the use of a hundred in case you need a percentage. if you want your ratio as a percent, multiply the solution using a hundred.
What is a ratio?A ratio is an ordered pair of numbers a and b, written a / b in which b does not exact 0. A percentage is an equation in which ratios are set similarly to each other. As for instance, if there's 1 boy and three women you can write the ratio as 1: three (for every boy there are 3 women).
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Dr. Karuza would like to send some classes on a trip to Disneyland. She explains that in order for any classses to go, 25% of the passengers must be teachers. Aniyah explains that if 4 teachers chose 24 students from 1 class to go then the teachers will be 25% of the passengers.
Do you agree or disagree with her answer?
Answer:
No, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.
Step-by-step explanation:
Given: If 4 teachers chose 24 students from 1 class to go then the teachers will be 25% of the passengers.
To find: if the given statement is correct or not
Solution:
Total number of teachers = 4
Total number of students = 24
Total number of passengers = Total number of teachers + Total number of students = 4 + 24 = 28
Here,
25% of Total number of passengers = [tex]\frac{25}{100}(28)=7\neq 4[/tex]
So, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.
For which polygon does the sum of the measures
of the interior angles equal the sum of the
measures of the exterior angles?
Answer:
The Answer is Square. Exterior Angles for any polygon is 360 degrees.
Step-by-step explanation:
Answer:
Rectangle and squares :)
Step-by-step explanation:
Both squares and rectangles have 4 right angles. 4 x 90 = 360.
find the value of x part 3
Answer:
x= 14
Step-by-step explanation:
Please see the attached picture for the full solution.
*First step is base angles of triangle ABC
find y please show work thank you
Answer: y=4
Step-by-step explanation:
This is a 45-45-90 triangle. It is also a special triangle. The hypotenuse is x√2. X is sommon through all 3 sides. The legs of the triangle are x in length each.
Looking at the picture, we see the hypotenuse is equal to 4√2. We can set this equal to the hypotenuse to find what x is.
4√2=x√2
x=4
Since we know that the legs of the triangle are both equal to x, we knoe that y=4.
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answer:
A = x² + 11x + 24
Step-by-step explanation:
A = L*W
L = x+8
W = x+3
A = (x+8)(x+3)
Use any method to multiply
A = x²+8x+3x+24 combine like terms
A = x² + 11x + 24
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
[tex]=8\sqrt{15}b^{\frac{7}{2}}[/tex]
Step-by-step explanation:
[tex]\sqrt{24b^3}\sqrt{40b^2}\sqrt{b^2}[/tex]
[tex]=\sqrt{40}\sqrt{b^2}\sqrt{b^2}\sqrt{24b^3}[/tex]
[tex]=\sqrt{40}b^2\sqrt{24b^3}[/tex]
[tex]\sqrt{24b^3}[/tex]
[tex]=\sqrt{24}\sqrt{b^3}[/tex]
[tex]=\sqrt{24}b^{\frac{3}{2}}[/tex]
[tex]=\sqrt{24}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=\sqrt{2^3\cdot \:3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=\sqrt{2^3}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]\sqrt{2^3}[/tex]
[tex]=2^{3\cdot \frac{1}{2}[/tex]
[tex]=2^{3\cdot \frac{1}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3\cdot \:5}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3}\sqrt{5}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}}\sqrt{5}b^2[/tex]
[tex]=\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^2[/tex]
[tex]=\sqrt{3}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^{\frac{3}{2}+2}[/tex]
[tex]2^{\frac{3}{2}+\frac{3}{2}}[/tex]
[tex]=2^3[/tex]
[tex]=2^3\sqrt{3}\sqrt{5}b^{\frac{3}{2}+2}[/tex]
[tex]b^{\frac{3}{2}+2}[/tex]
[tex]=b^{\frac{7}{2}}[/tex]
[tex]=2^3\sqrt{3}\sqrt{5}b^{\frac{7}{2}}[/tex]
[tex]=2^3\sqrt{3\cdot \:5}b^{\frac{7}{2}}[/tex]
[tex]=8\sqrt{15}b^{\frac{7}{2}}[/tex]
I'm stuck: 20 POINTS AND BRAINLIEST!
I'm really stuck on this question. Find the value of the missing value and find x.
Answer:
see explanation
Step-by-step explanation:
The secant- secant angle PRS is half the measure of the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (PD - QS) = 50 ( multiply both sides by 2 )
PD - QS = 100, that is
12x + 8 - (4x + 4) = 100
12x + 8 - 4x - 4 = 100
8x + 4 = 100 ( subtract 4 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
arc PD = 12(12) + 8 = 144 + 8 = 152°
arc QS = 4(12) + 4 = 48 + 4 = 52°
h(t) = -20 + 11t; h(11)
Answer:
h(11) = -20 + 11 * 11 = 101
Answer:
h(11)=101
Step-by-step explanation:
This question asks us to find h(11).
Essentially, we need to find h(t) or y, when t, or x, is equal to 11.
h(t)=-20+11t
Therefore, we can substitute 11 in for every t.
h(11)= -20+11(11)
Solve according to PEMDAS( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
Multiply 11 and 11 first.
h(11)= -20 +121
Add 121 and -20
h(11)=101
HELP ASAP WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Since each week the number of teams is increasing by a constant amount, the graph has a constant slope, and should be a line, and not any kind of exponential curve.
Answer:
Graph A
Step-by-step explanation:
registering 6 teams weekly
y=6x- this is linear equation
Graph A is the correct answer,
the other graph is not a linear function
1. Find the mean, median, mode and range of the following numbers:
19, 24, 22, 19, 17, 15, 16, 17
Step-by-step explanation:
mean; add all of them u will get 149 then ÷by 8 answer is 18.62
median. the middle number is 17
mode..the most common numbers are 17 and 19
range is 24-15=9
3. How many square inches of crust would it take to cover the
bottom of a pie dish with a 15 inch diameter?
Answer:
Using the area of a circle equation (shown in work) the answer should be 176.71cm^2
Step-by-step explanation:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
Answer:
$80.63
Step-by-step explanation:
250 USD is equal to 221.41 euros. 221.41-150=71.41. 71.41 euros converted to USD is equal to 80.63 USD.
Answer: D
Step-by-step explanation:
What are the range values of the function f(x)=-3x^2+5 for the domain values {-2,0,1}?
A. {-31, -4, 5}
B. {-7, 2, 5}
C. {5, 8, 17}
D. {5, 14, 41}
Answer:
B. {-7, 2, 5}
Step-by-step explanation:
(-2,-7)(0,5)(1,2)
Answer: B. {-7, 2, 5}
Step-by-step explanation:
