Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
Can anyone solve this?
Answer:
x = 35°
∠Q = 127°
∠R = 35°
∠P = 18°
Step-by-step explanation:
x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}
x + 2x + x +57 -17 = 180 {Combine like terms}
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 140/4
x = 35
∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°
∠R = x = 35°
∠P = x - 17 = 35 - 17 = 18°
A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?
Answer:
9
Step-by-step explanation:
i took the test
Mark has less than 20.00 to spend on the cost of dinner
Ivana has $350 in her savings account. She
decided to spend $140 of it on a field trip.
What percent of her savings did she spend
on the field trip?
Answer:
40%
Step-by-step explanation:
140/350=0.4
0.4 x 100=40
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
Urgent help need it plz
Answer:
angle 1 = 51
angle 2 = 34
angle 3 = 95
angle 4 = 38
angle 5 = 47
angle 6 = 74
angle 7 = 59
Step-by-step explanation:
a straight line is 180 degree, so to find angle 1, subtract 129 by 180.
angle 2 is found by adding angle 1 and 95 then subtract that by 180.
angle 3 and 95 are opposite angles, so they are the same
for angle 4, add angle three and 47 then subtract that by 180
angle 5 is 47, they are opposite
angle 7, subtract 121 by 180
angle 6, you add angle 5 and 7, and subtract that by 180
PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
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A. Convert to the indicated unit of measure
1. 708 mm = ______m
2. 15.6 km = ______ dam
3. 108 cc = ______mL
4. 8 tbsp = ______ mL
5. 16.5 L = _____ gal
6. 3,569 sec = _____days
7. 4 score = ______ mo.
8. 299 K = _______0C
9. 2000F = ______0C
10. 10,866 mg = ______kg
ASAP :)
9514 1404 393
Answer:
0.708 m1560 dam108 mL118.3 mL (rounded)4.36 gal (rounded)0.04131 days (rounded)960 mo25.85 °C93 1/3 °C0.010866 kgStep-by-step explanation:
The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...
1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL
1 gal = 3.785411784 L
1 day = 86,400 s
__
F = 9/5C +32 . . . . . formulas for conversion between temperature scales
K = C +273.15
_____
Applying the necessary conversions, we have ...
1. 708 mm = 0.708 m . . . 1000 mm = 1 m
2. 15.6 km = 1560 dam . . . 100 dam = 1 km
3. 108 cc = 108 mL . . . 1 cc = 1 mL
4. 8 tbsp ≈ 118.3 mL . . . using the above conversion
5. 16.5 L ≈ 4.36 gal . . . using the above conversion
6. 3,569 s ≈ 0.04131 days . . . using the above conversion
7. 4 score = 960 mo . . . 1 score = 240 months
8. 299 K = 25.85 °C
9. 200 °F = 93 1/3 °C
10. 10,866 mg = 0.010866 kg . . . 1,000,000 mg = 1 kg
_____
Additional Comment
For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...
[tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]
where the conversion factor is ...
A units you want = B units you have
N > 0 in number line
Answer:
The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.
Please check the attached graph.
Step-by-step explanation:
Given the inequality expression
N > 0
It is clear that the value of N is greater than 0, it means the solution contains all the positive real numbers greater than zero.
In other words:
[tex]N>0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:N>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
The number line containing the solution N > 0 is shown and attached below.
From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 0 number.
The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.Please check the attached graph.
8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5
Step-by-step explanation:
it will 2.5 this is right answer option D
The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
12, 30, 75, 187.5
The above sequence is a geometric sequence.
The common ratio can be calculated:
r = 30/12 = 75/30
r = 2.5
Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
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I need the answer ASAP
Answer: Its a rational number
Step-by-step explanation: All repeating decimals are rational :)
Will give brainliest!!! Please help
Answer:
1. F(12)
2. F(m) = 2,500
3. F(v) ≥ 3,000
4. 0.9F(30)
Answer:
There are many answers to this one. Look at the step-by-step explanation.
Step-by-step explanation:
1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).
2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.
3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.
4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
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can anyone please help with this???
Answer:
car is decelerating
Step-by-step explanation:
Please quickly answers thus
Answer:
i believe it's c. im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
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Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
I NEED HELP!! But it's not an emergency. 50 Points!!
Answer:
D. x = 7 and m∠LMN = 120°Step-by-step explanation:
Since MO bisect angle LMN, the angles formed are congruent:
∠LMO≅∠NMOSubstitute values and solve for x:
13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7Find the value of ∠LMN:
m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°Correct option is D
Here,
MO is bisect of the [tex]\angle{LMN}[/tex],
SO,
[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]
According to the question,
[tex]\bold{ 13x-31=x+53 }[/tex]
[tex]\bold{ 13x-x=53+31 }[/tex]
[tex]\bold{12x=84 }[/tex]
[tex]\bold{x=\dfrac{84}{12} }[/tex]
[tex]\bold{x=7 }[/tex]
Now we find the value of [tex]\angle{LMN }[/tex]
so,
[tex]\angle{LMO}=2×\angle{NMO }[/tex]
[tex]\bold{ 2×(13×7-37) }[/tex]
[tex]\bold{2×(91-31) }[/tex]
[tex]\bold{2×60 }[/tex]
[tex]\bold{120° }[/tex]
Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)
Step-by-step explanation:
We find the equation of the solid blue line:
The line decreases by 1 unit for every 3 units across.
=> Slope of line = -1/3.
Also the y-intercept is 1.
=> Line equation: y = -1/3 x + 1.
We see that the graph below this line is shaded.
Therefore all y-values below or on the line are represented by the graph.
=> y <= -1/3 x + 1.
The answer is y <= -1/3 x + 1.
01b3bed22d9bb79e5ed9ba#screenldx=3
2. Mario invested $500 dollars at 4% interest,
compounded bi-monthly. How much will Mario have in
his account 25 years from now?
Answer:
125
Step-by-step explanation:
500 divided by 4 = 125
can I pls have brainlest
PLEASE HELP!!!! WILL GIVE POINTS
Answer:
3.0
Step-by-step explanation:
Please solve the question below 2.0
Answer:
The answer is B
Step-by-step explanation:
Just look at the picture
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD
Answer:
D. The actual price is 12.5% higher than the expected price.
Step-by-step explanation:
hope i helped :)
You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?
Answer:
One Serving - 1/4 teaspoon
240 Serving - 60 teaspoon
plz mark as brainliest
The product of a ration number and irrational number is ______ an irrational number
Answer
always
Step-by-step explanation:
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared