Answer:
Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.
Step-by-step explanation:
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?
Answer: 32
Step-by-step explanation:
Let x + y = 5
x = 5 - y....................(1)
10x + y -9 = 10y + x..... . (2)
Substituting (1) in (2)
10(5-y) + y - 9 = 10y + (5-y)
50-10y + y - 9 = 10y + 5 - y
41 - 9y = 9y + 5
-9y - 9y = 5-41
-18y = - 36
y = 36/2 = 2
So, x = 5-2 = 3
Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
$80 x 0.5 = $40
$80 + $40 = $120
$120 * 0.25 = $30
1st month - $120-$30 = $90
2nd month - $90-$22.5 = $67.5
Answer:
AFTER 2 MONTHS
Step-by-step explanation:
plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x
Answer:
Two real world situations are shown below.
Step-by-step explanation:
Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
A school has 300 eighth-grade students and 200 ninth-grade students. The secretary randomly selects 12 eighth-grade students and 8 ninth-grade students to obtain a sample of size 20. What kind of sampling is this?
Simple random sampling
Stratified random sampling
Systematic sampling
Convenience sampling
Answer:
stratified random sampling
Step-by-step explanation:
It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g
Answer:
15 g.
Step-by-step explanation:
The following data were obtained from the question:
Heat required (Q) = 350 J
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Specific heat capacity (C) = 1.2 J/g°C
Mass (M) =..?
Next, we shall determine the change in temperature.
This is illustrated below:
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Change in temperature (ΔT) =..?
Change in temperature (ΔT) = T2 – T1
Change in temperature (ΔT) = 30 – 10
Change in temperature (ΔT) = 20 °C
Finally, we shall determine the mass of the substance as follow:
Heat required (Q) = 350 J
Specific heat capacity (C) = 1.2 J/g°C
Change in temperature (ΔT) = 20 °C
Mass (M) =.?
Q = MCΔT
350 = M x 1.2 x 20
Divide both side by 1.2 x 20
M = 350 / (1.2 x 20)
M = 14.5 ≈ 15 g
Therefore, the mass of the substance is
15 g.
Answer:
15 g
Step-by-step explanation:
the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, find the greatest whole number that can divide both 792 and 990 exactly.
Answer:
198
Step-by-step explanation:
Please answer this question now in two minutes
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]
probability of selecting 3 females and 2 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]
probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]
C) 5 females
The possible ways of choosing 5 females is given as:
[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]
probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]
probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]
How are ΔABC and ΔADE related?
Answer:
They are congruent
Step-by-step explanation:
4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $
Answer:
Step-by-step explanation:
The pasta plate will cost $ 5.5
y=4x+2.5 ( x is the number of ingredients)
$ 2.5+(4*0.75)= 5.5 dollars
Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3
Answer:
The angles of this would be x=30
Step-by-step explanation:
If they are proportional to 1:2:3, then we can do 2 things.
They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.
Second, the angles of an triangle equal 180.
Adding 1 + 2 =
1x + 2x + 3x = 180
6x = 180
x = 30
Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.
9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.
Answer:
a) deceleration = 0.4 m/s^2
b) distance = 320m
Step-by-step explanation:
a)
using formula a = (v-u)/t,
acceleration a = unknown (deceleration is the negative of acceleration)
final velocity v = 0 m/s (rest)
initial velocity u = 16 m/s
time t= 40s.
a = (0-16)/40
a = -0.4
Hence deceleration = 0.4 m/s^2
b)
Use formula v²-u² = 2as
distance s = unknown
0²+16² = 2(-0.4)(s)
s = 320m
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
Which one is not a polynomial
– p + 5 + p^2
x^2 + 5x
(x - 1)/x
x^3 - 3
Answer:
(x-1)/x
Step-by-step explanation:
its not having any term .
Answer:
(x - 1)/x
Step-by-step explanation:
A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.
All are polynomials except for (x - 1)/x where there is division by a variable.
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
a and b are examples of a vertical pair.
Step-by-step explanation:
Vertical pairs are equal to each other with the same degrees.
Please help ASAP. Plz answer top question thanks so much. Your help is much appreciated.
Answer:
It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer
Hope it helps :D
PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution
Answer:
No solutions.
Step-by-step explanation:
x minus 3y = 4
x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3
-2x + 6y = 3
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Hope this helps!
The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given system of equation;
x minus 3y = 4 means x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3 means -2x + 6y = 3
Solving;
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
Obtenga más información aquí: https://brainly.com/question/22309443
The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root? Use a graphing calculator and a system of equations.
Answer:
-1,3i,-3i
Step-by-step explanation:
X^3+x^2=-9x-9
x^3+x^2+9x+9=0
x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor
(x+1)(x^2+9)=0
x+1=0 then x=-1
(x^2+9)=0 then x=+ 0r - 3i
Answer: -1 is the correct answer
Step-by-step explanation:
d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)
Answer:
Output work = 1Nm
Input work = 1Nm
Load arm = 0.02m
Step-by-step explanation:
Given the following :
Effort applied = 10N
Load = 50N
Effort distance = 10cm = 10/100 = 0.1m
Calculate : the load arm, input work and output work
Input work = Effort × distance moved by effort
Input work = 10N × (0.1)m = 1J
B) Load arm or load distance :
Mechanical advantage (MA) = load / effort
MA = 50 / 10
MA = 5
MA = input distance / output distance
5 = 0.1 / load arm
load arm = 0.1 / 5
load arm = 0.02m
C.) Output work :
Load × load distance
50N × 0.02
Output work = 1J
Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.
Answer:
[tex] 4y^3 [/tex]
Step-by-step explanation:
[tex] \dfrac{4}{y^{-3}} = [/tex]
[tex] = 4 \times y^3 [/tex]
[tex] = 4y^3 [/tex]
Answer:
4y^3
Step-by-step explanation:
Find the area of the shaded regions
Answer:
c
Step-by-step explanation:
.................................
Answer:
c
Step-by-step explanation:
Using the sine ratio in the right triangle
sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c
What’s an constant in numbers
Answer:
Always the same variable.
Step-by-step explanation:
When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.
Answer:
Step-by-step explanation:
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
Sally is reading a comedy book. The table below shows a proportional relationship between the number of pages she reads and the number of hours she spends each day reading. What is the constant proportionality in pages per hour? Hours 4 5 Number of Pages 20 25 Show your work:
Answer:
5 pages per hour
Step-by-step explanation:
Here, we need the constant of proportionality in pages per hour.
This is just like having 2 sets of point of a graph and asked to find the slope
Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.
So let’s proceed to say we have points ;
(4,20) and (5,25)
So the constant of proportionality would be;
(25-20)/(5-4) = 5/1 = 5 pages per hour
Hellppppppplpp pleaseee
Answer:
The answer is 3.
Step-by-step explanation:
In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.
Hope this helps! Stay safe! So cool that you live in the UK!
xx gloriouspurpose xx
p.s. from america lol
VERY MAD NOONE WILL ANSWER ME
Answer: Only C
Step-by-step explanation:
Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out. Thus, it can be any value.
BRAINLIEST! HELP ASAP MATH PLSSS
Answer: The answer would be the second one.
Step-by-step explanation:
It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.
** BRAINLIEST IF ANSWERED**
The area of the regular hexagon is 50 in sq. What is the measure of the apothem? *
10 in
2 in
25 in
5 in
Answer:
Area of apothem is 8.33 inches
Step-by-step explanation:
Mathematically,
Area of hexagon = 1/2 * apothem * number of sides * length of side
Area = 50 in square
apothem = ?
number of sides = 6
Length of side = 2 inches
Substituting the values, we have;
50 = 1/2 * A * 6 * 2
50 = 6A
A = 50/6
A = 8.33 inches
SOMEBODLY PLZ HELP ASAP! Find x
Answer:
x=4
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -----------------
leg part
2+6 x
------- = -----------------
x 2
Using cross products
8*2 = x^2
16 =x^2
Take the square root of each side
4 =x