Answer: 50 * 100 = 5000
Step-by-step explanation:
a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number
100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000
Answer: 5O x IOO = 5OOO
Step-by-step explanation:
5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.
Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2Guided Practice
Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.
Identify the quadratic term in the function.
f(x)=2x^2−3x+5
Answer:
2x^2
Step-by-step explanation:
Q:
identify the quadratic term in the function f(x)=2x^2-3x+5
A:
The quadratic term is 2x^2.
Answer:
2x2-3x-5=0
Step-by-step explanation:
(2x2 - 3x) - 5 = 0
Answer:
The quadratic term in the function is
Step-by-step explanation:
Given : Function
To find : Identify the quadratic term in the function ?
Solution :
The quadratic form of the function is
Where, is quadratic term.
On comparing with given function,
is the quadratic term.
Therefore, the quadratic term in the function is
HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x
please help with statistic 20
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993i need help on i ready what is the length of the breathing tube
Answer:
The average size of the tube for an adult male is 8.0, and an adult female is 7.0,
The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women
Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?
Answer:
8.4 pontos
Step-by-step explanation:
4.2/5
multiplique o numerador e o denominador por 2
8.4/10
what is the correct Answer?!
Answer:
B
Step-by-step explanation:
2⁶
2³
2⁶
2³
then add the ⁶+³+⁶+³ =18
2¹⁸
plz help i give brainliest and points
Answer:
Step-by-step explanation:
To find this, lets make a equation.
We have the expression 8b - 27, lets set this equal to -11 and solve:
8b -27 = -11
Now lets solve.
Lets add 27 to both sides to get 8b alone:
8b = 16
Now lets divide by 8:
b = 2
So our answer is 2.
Hope this helps!
show me how to do the work please
[tex]\large\boxed{\mathsf{\dfrac{x}{-4}\leq 12}}\\\\\large\text{MULTIPLY -4 to BOTH SIDES}\\\\\large\boxed{\mathsf{-4\times -\dfrac{1}{4}x \leq -4 \times 12}}\\\\\large\text{CANCEL out: }\rm{-4 \times-\dfrac{1}{4}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{-4\times 12}\large\text{ because it helps solve for what is being compared to the }\\\large\text{x-value}\\\\\large\text{NEW EQUATION: }\rm{x \geq\ -4 \times 12}\\\\\large\text{SIMPLIFY IT}\uparrow[/tex][tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{x\geq-48}}}\huge\checkmark[/tex]
[tex]\large\boxed{\mathsf{It\ is\ an\ CLOSED\ circle\ shaded\ to\ the\ right}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70
Answer:
$97.20
Step-by-step explanation:
97.20 x 0.15 = 14.58
Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.
What number is furthest from 0 on a number line? 16 or 18?
Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.
Answer:
2500
Step-by-step explanation:
2475 stamps is 99% of her original number of stamps.
SO,
[tex]2475 \div 99\% = 2500[/tex]
She originally had 2500 stamps
What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.
Answer:
14
Step-by-step explanation:
58, 47, 36, 25,. ?
Each term is 11 less than the preceding term
the term after 25 will be
25 - 11 = 14
.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.
1.45÷8= 5.6250 -5.625------- example
4.93÷9 = _____ - ______
2. 77÷9 = _____ - ______
5.88 ÷7= _____ - ______
3.81÷7= _____ - ______
6.55÷8=_____ - ______
sorry if the numbers is a bit confusing
The responses for the quotient given to the nearest thousandths are
presented in the order of the of the questions as follows;
[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]
[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Reasons:
4. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]
Given that we have;
[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]
2. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
5. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]
[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
3. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
6. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Learn more here:
https://brainly.com/question/17913153
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo. En ninguno de esos casos queda nadie sin grupo. ¿Cuántas personas son si casi llegan a 25?
En la reunión semanal había 24 personas.
Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:
2 - 4 - 6 - 8 - 10 - 12 - 14 - 16 - 18 - 20 - 22 - 243 - 6 - 9 - 12 - 15 - 18 - 21 - 244 - 8 - 12 - 16 - 20 - 24Por lo tanto, en la reunión semanal había 24 personas.
Aprende más en https://brainly.com/question/3113448
what is the solution to the system of equations
ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.
7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?
Question 3 options:
7+18n
18+7n
18+7(n−1)
7+18(n−1)
Answer:
7+18n
might be the answer sorry if I am wrong
A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
given g(x)=-2x+1 solve for x when g (x)=5
Answer:
x = -2
Step-by-step explanation:
g(x) = 5
-2x + 1 = 5
-2x = 5 - 1
-2x = 4
x = 4/-2
x = -2
_________
[tex]\:[/tex]
g(x) = 5
5 = -2x + 1
5 - 1 = -2x
4 = -2x
x = -2
12 ≤ 4n < 28
SOLVE THE COMPOUND INEQUALITY
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ \boxed{3 \leqslant n < 7}}[/tex]
The equivalent expression is ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]12 \leqslant 4n < 28[/tex]Now divide each term with 4
[tex]12 \div 4 \leqslant 4n \div 4 < 28 \div 4[/tex][tex]3 \leqslant n < 7[/tex][tex] \sf \: 12 ≤ 4n < 28[/tex]
Divide all parts by 4[tex]\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} [/tex]
[tex] \sf \longmapsto3≤n<7[/tex]
Result:
[tex]\boxed{ \sf 3 \leqslant n<7}[/tex]
Number line attachedplease help me with this math problem
Step-by-step explanation:
the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.
So the equation you will get is
[tex]a(x) = \frac{50}{x} + 5[/tex]
Answer:
A(x)= (50/x)+5
Step-by-step explanation:
50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
Given f(x) = 5x + 4 , find f(-10)
Answer:
-46
Step-by-step explanation:
5 x -10 + 4 = -50 + 4 = -46
YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?
Answer:
To find the rate of change you use the formula, Y2-Y1/X2-X1.
Function A:
You can substitute in any two points. The points I will use are (0,0) and (1,1).
1-0/1-0
1/1
1
The rate of change for Function A is 1.
Function B:
The points I will use are (2,1) and (4,2).
2-1/4-2
1/2
The rate of change for Function B is 1/2.
Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.
Hope this helps! :)
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
Finding slope from tables and
Answer:
m=-5/2 b=2
Step-by-step explanation:
It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2
If A(2, 3) and B(-4, -6), find AB.--
[tex] \huge \bf༆ Answer ༄[/tex]
The distance between points can be solved using Distance formula (similar to Pythagoras theorem)
[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]
Put the values : -
[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex][tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex][tex] \sf D = \sqrt{36 + 81} [/tex][tex] \sf D = \sqrt{117} [/tex][tex] \sf D = 3 \sqrt{13} [/tex]Distance between the points = 3√13 units
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Answer:
If you are trying to find the line, simply use a graph.
Step-by-step explanation:
Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.
Answer:
Step-by-step explanation:
if 5/6 of the 30 motorcycles were new, how many motorcycles were used
Answer:
5 Motorcycles are used
30÷6= 5
5×5= 25
30-24=5
so the answer is 5
Answer:
5 out of the 30 motorcycles are used
Step-by-step explanation:
First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.
Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.
30 ÷ 6 = ? opposite of 6 x ? = 30
5 divide
So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.
[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]
[tex]\frac{25}{30}[/tex]
Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.
I hope this helped :)
