Answer:
B
Step-by-step explanation:
16 x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
16x² - 49
= (4x)² - 7²
= (4x + 7)(4x - 7) → B
Answer:
B
Step-by-step explanation:
There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.
Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.
4x4 is 16. That's why you put fours in front of Xs.
I am sorry for getting this wrong (if i did)
81. What is the next number? 1, 1/2, 1/4, 1/8,
Answer:
1/16
Step-by-step explanation:
multiply by 1/2
1, 1/2, 1/4 , 1/8, 1/16
Answer:
1/16
Step-by-step explanation:
If you see the pattern it goes by x2 (the denominator)
1 , 1/2, 1/4, 1/8, 1/16
Solve for r in the triangle. Round your answer to the nearest tenth.
Answer:
6.9 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 35 = x/12
12 sin 35 = x
6.882917236 = x
To the nearest tenth
6.9 =x
I would love someone’s help! I’m struggling
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
Option B is the correct answer.
Step-by-step explanation:
B= {- 5, - 4.5, - 3}
The mean of a set of credit scores is Mu = 690 and sigma = 14. Which credit score is within a z-score of 3.3? 634 640 720 750
Answer:
720
Step-by-step explanation:
To solve this question, we would be using the formula for z- score
The formula for calculating a z-score is z = (x-μ)/σ
where x = raw score
μ = population mean
σ = sigma = population standard deviation.
From the question, we are given
The mean of a set of credit scores Mu = 690
sigma = population standard deviation 14
z - score = 3.3
This means we are to find x
z = (x-μ)/σ
3.3 = x - 690/ 14
Cross Multiply
3.3 × 14 = x - 690
46.2 = x - 690
x = 690 + 46.2
x = 736.2
Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
Answer:
c. 720
Step-by-step explanation:
on edge
A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it and then draws another marble, what is the probability that both marbles she draws will be red? 5/14×5/14 5/14 ×4/13 5/14×4/14 4/14×5/14
Answer:
Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red
Step-by-step explanation:
please solve both. help quickly!!
Answer:
1/1000 for the 1st
1/100 for the 2nd
Step-by-step explanation:
0.1% is 0.001, which is 1/1000
1% is 0.01, which is 1/100
Answer:
0.1% = 10 1%=1/100
Solve the following system by of linear equation by guass jordan method 2x+2y+4z=18 X+3y+2z=13 3x+2y-3z=14
Answer:
[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]
Please Help ASAP C: :D
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 + (-9/10) = -6/5 -9/10 = -12/10 -9/10 = -21/10
Answer:
-21/10
Step-by-step explanation:
Plug in 4/5 for x and simplify.
-2/5 - 4/5 + (-9/10)
-6/5 + (-9/10)
-21/10 or -2 1/10
I hope this helps :))
|9t|=81 answer the equation
Answer:
9, or -9
Step-by-step explanation:
9t=81 or -81
t=9 or -9
Answer:
[tex]t=9\\t=-9[/tex]
Step-by-step explanation:
[tex]|9t|=81[/tex]
[tex]9t=81\\9t=-81[/tex]
[tex]t=81 \div 9\\t=-81 \div 9[/tex]
[tex]t=9\\t=-9[/tex]
question in attachment
Answer:
Option B.
Step-by-step explanation:
Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).
Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.
Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.
Marks in a test paper cannot represent a continuous variable. Thus, option C is incorrect.
Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.
Therefore, the correct option is B.
3.
Reasons
Statements
MNOP is a parallelogram
PM || ON
N
M
Alternate Int. Zs Thm.
Given:
MNOP is a parallelogram
MN || PO
Alternate Int. Zs Thm.
Prove:
PM ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)
Step-by-step explanation:
1) MNOP is a parallelogram: Reason; Given
2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram
3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.
4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram
5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.
6) [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property
7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem
8) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).
Also we have;
9) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent
O perímetro de um campo retangular é de 80 metros e sua area é de 320 metros quadrados. Encontre as dimensões do campo, corrija o décimo de metro mais próximo.
Answer:
Comprimento: 28.9 m; Largura: 11.1 m
Step-by-step explanation:
P = 2(C + L) = 80
A = CL = 320
2(C + L) = 80
CL = 320
C + L = 40
CL = 320
C = 40 - L
CL = 320
(40 - L)L = 320
40L - L^2 = 320
L^2 - 40L + 320 = 0
aL^2 + bL + c = 0
[tex] L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{320}}{2} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{64 \times 5}}{2} [/tex]
[tex] L = \dfrac{40 \pm 8\sqrt{5}}{2} [/tex]
[tex] L = 20 \pm 4\sqrt{5} [/tex]
[tex] L \approx 28.9 [/tex] or [tex] L \approx 11.1 [/tex]
L = 28.9
C = 40 - L = 40 - 28.9 = 11.1
Answer: Comprimento: 28.9 m; Largura: 11.1 m
3. The perimeter of a rectangle is 98 feet. Find its dimensions assuming that its length is 2 feet less than twice its width.
The width is
(Simplify your answers.)
and length is
Answer:
w = 17 fts
l = 32 fts
Step-by-step explanation:
P = 2w + 2l
l = 2w - 2
98 = 2w + 2(2w - 2)
98 = 2w + 4w - 4
98 + 4 = 6w
6w = 102
w = 17 fts
l = 2×17 - 2 = 34 - 2 = 32 fts
Which of the following is the most appropriate unit to describe the rate at which a person reads?
Answer:
words per minute!
Step-by-step explanation:
Brainliest for whoever gets this correct with working out
Answer:
[tex] \frac{2x - 5}{x + 5} [/tex]
Step-by-step explanation:
Firstly, you have to factorize the expressions on the numerator and denorminator :
Numerator :
[tex]2 {x}^{2} - 3x - 5[/tex]
[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]
[tex] = 2x(x + 1) - 5(x + 1)[/tex]
[tex] = (2x - 5)(x + 1)[/tex]
Denorminator :
[tex] {x}^{2} + 6x + 5[/tex]
[tex] = {x}^{2} + x + 5x + 5[/tex]
[tex] = x(x + 1) + 5(x + 1)[/tex]
[tex] = (x + 1)(x + 5)[/tex]
Next, you have to put the factorized-form in the fraction and cut out the similar expressions :
[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]
[tex] = \frac{2x - 5}{x + 5} [/tex]
AJ is the bisector of ∠HJI. Determine the value of x. ANSWERS: A) 50 B) 10 C) 8 D) 25
Answer:
B) 10
Step-by-step explanation:
∠IJA= ∠HJA
ΔIJA has twice smaller side opposite ∠J than ∠A
Similarly
ΔHLA side 5 opposite ∠J,
So x/5= 20/10 ⇒ x= 5*2= 10
Answer choice is B) 10
can someone help fill in the gaps in the table and calculate an estimate for the mean
Answer:
Step-by-step explanation:
5x3= 15
8x9=72
12x11=132
14x17=138
9x17=153
15+72+132+138+153=510
510/50=10.2= mean
Which graph represents the solution set of the inequality. 5a+18<-27. Choose 1 answer
Answer:
c
Step-by-step explanation:
Khan academy
I WILL GIVE BRAINLIEST!!! Part A: The Sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 1.55 ⋅ 10^7 seconds? Express your answer in scientific notation and show your work. (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a CD: 1.6 ⋅ 10−3 mm or 1.6 ⋅ 103 mm? Justify your answer. (5 points)
Answer:
Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm
Hope this helped you!
Step-by-step explanation:
Share £10 in the ratio of 2:3 ASAPP!!!!!!!!!!!!
Answer:
£4 and £6
Step-by-step explanation:
Total = £10
Ratio = 2:3
Total Parts = 2+3 = 5
Divide it by the Total
=> 10/5 = £2
Multiply it by the ratios
1) 2 * 2 = £4
2) 3 *2 = £6
Answer:
4:6
Step-by-step explanation:
2+3=5
10/5=2
3x2= 6
2x2=4
4:6
Given the functions f(x) = 6x + 11 and g(x) = x2 + 6, which of the following functions represents f[g(x)] correctly? f[g(x)] = 36x2 + 132x + 127 f[g(x)] = 36x2 + 132x + 121 f[g(x)] = 6x2 + 47 f[g(x)] = 6x2 + 36
Answer:
C. 6x^2 + 47
Step-by-step explanation:
The value of f[g(x)] is 6x² +47, the correct option is C.
What is a Function?A function is a law that derives a relation between two variables.
The function is f(x) = 6x+11
g(x) = x² +6
The operation f(g(x)) = 6 (x² +6) +11
f(g(x)) = 6x² +36 +11
f(g(x)) = 6x² +47
Therefore, the value of f[g(x)] is 6x² +47, the correct option is C.
To know more about Function
https://brainly.com/question/12431044
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Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.
Answer:
y = -4x - 13
Step-by-step explanation:
Use point - slope form to convert to y = mx + b form
1. Find the slope using y2 - y1 / x2 - x1
3 + 5 / -4 + 2
m = -4
2. Plug into point - slope form: y - y1 = m (x - x1)
y + 5 = -4 (x + 2)
Distribute
y + 5 = -4x - 8
Subtract 5 from both sides
y = -4x - 13
Algebra applications: find the value of x and y
Answer:
x = 65; y = 10
Step-by-step explanation:
Theorem:
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
The three lines are given as parallel, angles 60 deg and (2x - y) deg are supplementary, and angles (2x + y) deg and 40 deg are supplementary. The sum of the measures of supplementary angles is 180. That allows us to write two equations.
2x - y + 60 = 180
2x + y + 40 = 180
Now we simplify the 2 equations.
2x - y = 120
2x + y = 140
Since -y and y are opposites, we can add the equations to eliminate variable y.
4x = 260
x = 65
Now we substitute 65 for x in the first equation of the system of equations and solve for x.
2x - y = 120
2(65) - y = 120
130 - y = 120
-y = -10
y = 10
Answer: x = 65; y = 10
How do you write 4.7 × 10^–6 in standard form?
Answer:
0.0000047
Step-by-step explanation:
Simply move the decimal place 6 places to the left while filling in the zeros.
what is the arc length when theta = 3pi/5 and the radius is 7 cm?
21pi/5 cm
12pi/5 cm
6pi/5 cm
3pi/35 cm
Answer: 21pi / 5
Step-by-step explanation:
Given the following :
Theta (θ) = 3π / 5
radius (r) = 7cm
The length of an arc is calculated using the formula:
(θ / 360) × 2πr
Inputting the provided values into our formula;
θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°
Length = (108 / 360)° × 2π × 7
Length = (3/10) × 14π
Length = 42π / 10
Length = 21π / 5 cm
please solve quickly
Answer:
Brainliest!
Step-by-step explanation:
100% sugar syrup = 75/30 x 100 = 250
What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? Discriminant = b2 – 4ac –9 –7 7 9
Answer:
-7
Step-by-step explanation:
[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]
Hope this helps!
The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + x + 2 = 0
The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,
Discriminant = b² - 4ac
Here, a = 1, b = 1 and c = 2
Substituting,
Discriminant = 1² - (4 × 1 × 2)
= 1 - 8
= -7
Hence the discriminant of the given equation is -7.
Learn more about Quadratic Equations here :
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Please help me! Ill give brainliest! The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below: Step 1: 2(y + 6) = 4y Step 2: 2y + 8 = 4y Step 3: 2y = 8 Step 4: y = 4 Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points) 2 should be distributed as 2y + 12; y = 6 2 should be distributed as 2y + 12; y = 3 The equation should be y + 6 = 4y after division by 2; y = 2 The equation should be y + 6 = 4y after division by 2; y = 1
2 should be distributed as 2y + 12; y = 6
Step-by-step explanation:
The equation is...
[tex]2(y+6)=4y[/tex]
First, we need to distribute the 2 to the numbers in the parentheses. We will multiply them both by 2.
[tex]2y+12=4y[/tex]
Now we can subtract 2y from both sides. On the left it will cancel and on the right we will be left with 2y.
[tex]12=2y[/tex]
Now we can just divide and...
y = 6
20 POINTS AND BRAINLIEST!!! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
5
Step-by-step explanation:
The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.
If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.
In the given range, there are 5 such boards:
4×4, 8×8, 12×12, 16×16, and 20×20