Answer: (y - 5)² = y² - 10y + 25
Concept:
There are in total three general types of parentheses-squared method:
(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²Solve:
Given = (y - 5)²
Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].
(a - b)² = a² - 2ab + b²
(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25
Hope this helps!! :)
Please let me know if you have any questions
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answer:
B
Step-by-step explanation:
Let's go over each option with the process of elimination!
A. A data set will always have exactly one mode.
Contradiction: 2, 2, 3, 3, 4, 5, 6
in this data set, both 2 and 3 are modes, so it is incorrect.
B. A data set can have multiple means.
True, example as A.
C. A data set will have at least one mode.
Contradiction: 2, 3, 4, 5, 6
There are no modes in here.
D. A data set will never have a mode.
Contradiction: 2, 2, 3, 4, 5
The mode is 2.
The only true statement is answer B.
I hope this helped! :D
Answer:
b
Step-by-step explanation:
if a data set had 1,1,3,4,4 how would you have 2 modes, 1,4. If you had 1,1,2,2,3,3 you would have 1,2,3 as your modes
a is wrong, c is wrong, d is wrong
a:my example has more that one
c:i have no explanation
d:is well already wrong
What are the factors of the expression below -2x^2+5-3
A -1(2x-3)(x-1)
B -1(2x+3)(x-1)
C -1(2x+3)(x+1)
D -1(2x-3)(x+1)
Answer:
A
Step-by-step explanation:
Given
- 2x² + 5x - 3 ← factor out - 1 from each term
= - 1(2x² - 5x + 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term
(2x - 3)(x - 1)
Then
- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A
Could someone please help me with this
Answer:
what are the questions
Step-by-step explanation:
Jun made a round tablecloth for his kitchen table. The tablecloth is 4.5 feet in diameter. Approximately how much fabric did Jun use for the tablecloth?
Answer:
the correct answer is 16ft^2
arc length of an oval that is 6ft by 5ft. i just want 1/4 of the oval. i want to find out how long i would need a wire to go from the ground to the middle of the "dome".
the picture explains it better.
in the end i want to have a wire frame around the garden and than take some netting and use that to keep out the big bugs and birds. i will of course use zip ties to attach the screen/netting to the frame. unless there is a easier and cheaper way to do this.
You can model the ellipse with the equation
(x/6)² + (y/5)² = 1
If you're comfortable with calculus, read on.
Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,
[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]
Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)
But you can approximate it, and the integral above comes out to about 8.657.
I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.
The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer:
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.5289 , 0.6097 )
Reference=0.523 Reject H0
Name the property: i) (-15) X (-56)
ii) (-72) X 26 = 26 X (-72)
iii) [8 X (-46)] X 32 = 8 X [(-46)] X 32]
iv) (-15) X 105 = [(-15) X (100 +5)] = [(-15) X100] + [(-15) X 5]
Answer:
Open in answr appOpen_in_app
(i)
15
7
=
30
x
⇒x=
15
7×30
=14
(ii)
3
x
=
18
12
⇒x=
18
12×3
=2
(iii)
x
30
=
24
45
⇒x=
45
30×24
=16
(iv)
16
8
=
x
25
⇒x=
8
25×16
=50
Step-by-step explanation:
yeah
Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.
Answer:
.93 calories per serving
Step-by-step explanation:
220 ÷ 3 = 73.3333333 calories per serving
3 ÷ 220 = 0.0136363636
362 ÷ 5 = 72.4
5 ÷ 362 = 0.0138121547
73.3333333 - 72.4 = 0.9333333 = around .93
WILL GIVE BRAINLIEST. Given: SLant Prism, m
Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i
Which geometric terms are modeled by the Eiffel Tower
The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12
Answer:
(28x+16)cm
Step-by-step explanation:
2(8x+2)+2(6x+6)
16x+4+12x+12
28x+16
Perimeter = 2(Length + Breadth)
Perimeter = 2(6x + 6 + 8x + 2) cm
Perimeter = 2(14x + 8) cm
Perimeter = 28x + 16
CORRECT ANSWER IS OPTION B, 28x + 16B
16 m
A
С
20 m -
Find the area of AABC.
[?] ml
Enter
Answer:
A = 60 m^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20)*6
A = 60 m^2
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Answer:
No
Step-by-step explanation:
The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.
The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.
Hope this helps :)
15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.
Answer:
10 menStep-by-step explanation:
Amount of work done by 15 men is:
15 men *25 day = 15*25 man*daysSame work can be done by 25 men, in 15 days, so 10 more men should be added.
the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__
Answer:-
[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]
Explanation:-
P(x,y)O(0,0)We know distance formula
[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]
Any help is very much appreciated!! (:
Answer:
the third option
Step-by-step explanation:
the 5 pounds weight at birth is the starting value.
so, the function needs to have a constant part of at least +5.
and every month 0.5 pounds are added.
that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.
w = weight after t months
t = number of months measured
help asap------------
Answer:
the real is -19
the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)
Step-by-step explanation:
Help pls
You add the same amount of money to your savings each week. At week 5 you have $45. At week 12 you have $80. How much money do you have at week 20?
Answer: $120
First, create a function
x = number of weeky = amount of money in savingsa = amount of money added each weekb = the amount of money in savings at week 0[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]
Therefore, the function is y = 5x + 20
To find the amount of money at week 20, set x = 20 and solve:
[tex]y=5(20)+20=100+20=120[/tex]
Therefore, the answer is $120.
Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.
Answer:
H0 : μ ≤ x
H1 : μ > x
The hypothesis :
The null hypothesis, H0 : μ ≤ x
The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;
The alternative hypothesis, H1 : μ > 8
For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.
Let the population mean value = x
The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :
H1 : μ > x
In the given figure, if AOB is a straight line, then ∠BOC is
Answer:
acute angle.
Step-by-step explanation:
because it is 60 degree
Nếu AOB là một đường thẳng thì góc BOC =90°
C={X:X is even number X less than n equal to 7}
Answer:
ok
Step-by-step explanation:
ok
PLEASE HELP AND EXPLAIN!!
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at
[tex] - 3 + i[/tex]
Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is
[tex] - 3 - i[/tex]
How did you solve 43? I need explanation I’ll give brainliest
Answer:
Its 6
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.
4/16 = 1/4
Can someone help me with this?
⬇️
-2(10 + x) = 4
Answer:
x = -12
Step-by-step explanation:
-2(10 + x) = 4
Divide each side by -2
-2(10 + x) / -2 = 4/-2
(10 + x) = -2
Subtract 10 from each side
10+x-10 = -2-10
x = -12
The solution to this equation is: x = -12
What is the first degree equation?First degree equation is an equality between members where we find at least one variable.
How to solve this equation?We have the equation:
[tex]\sf -2(10+x)=4[/tex]
First, we must apply the distributive property.
[tex]\sf -20-2x=4[/tex]
Now we move the independent term to the second degree.
[tex]\sf -2x=4+20[/tex]
We add similar terms.
[tex]\sf -2x=24[/tex]
We isolated the term "x".
[tex]\sf x=\dfrac{24}{-2}[/tex]
Finally, we carry out the division. Discovering, in this way, the solution.
[tex]\boxed{\boxed{\sf x=-12}}[/tex]
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Answer:
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Step-by-step explanation:
i think its answer is 36
if my mine craft house was burning leaves irl and i was watering my boat on a Wednesday on a weekend in December when its summer how many fish will become orphans late nights in the middle of june?
4.32/3.6=
please help soon!!
Answer:
if this is division it's 1.2.
Step-by-step explanation:
just divide it of its division if not sorry
Answer:
1.2
Step-by-step explanation:
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
will mark brainliest! PLEASE!
Answer:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Step-by-step explanation:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
