Answer:
12x - 18
Step-by-step explanation:
3 x 4x = 12x
3 x -6 = -18 (Negative and positive make a negative.)
12x - 18
You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?
A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 hours. Using the formula
P
t
=
P
0
⋅
2
t
d
P
t
=P
0
⋅2
d
t
, where
P
t
P
t
is the population after t hours,
P
0
P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?
Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An exponential function, with a doubling time of d, after t hours, is given by:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
In which A(0) is the initial amount.In this problem:
The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].Then:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]
After 13 hours:
[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]
The population of bacteria in the culture after 13 hours is of 1,491,747.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656
PLS HELP ASAP. QUESTION IN PICTURE
Answer:
80
Step-by-step explanation:
180 - 100 = 80
(Meeting character limit)
12>-2(y-4) solve the inequality
[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]
A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation:
branliest
Solve.
−4/15x=1.44
Enter your answer as a mixed number in simplest form in the box.
x =
1 Simplify \frac{4}{15}x
15
4
x to \frac{4x}{15}
15
4x \frac{4x}{15}=1.44
4x =1.44
2 Multiply both sides by 1515.
4x=1.44\times 15
4x=1.44×15
3 Simplify 1.44\times 151.44×15 to 21.621.6.
4x=21.6
4x=21.6
4 Divide both sides by 44.
x=\frac{21.6}{4}
x= 4
21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.
x=5.4
x=5.4
The value of x for the given equation in the mixed fraction will be -4 7/5.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]
It is given that,−4/15x=1.44
Solve the equation for x,
x= -1.44 × 15/4
Convert the decimal values into the fraction as
x=-144/100 × 15/4
x= -27/5
A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as
x=-4 7/5.
Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
26 kg of potatoes cost $210.60. How much would 6 kg cost?
Answer:
$48.6
Step-by-step explanation:
We have to use Unitary Method, means, we'll first have to find cost of one unit.
26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6Hope it helps :)
A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?
Answer:
[tex]to \: know \: \: the \: solution[/tex]
[tex]refer \: to \: the \: attatchment[/tex]
I hope this helps you !!Hep I’ll choose brainliest!!
Answer:
7
Step-by-step explanation:
3x - y = 1
2x + 2y = 14
x = 2
y = 5
x + y = 2 + 5 = 7
Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1
3x² - x - 4
5x² + x - 9
4x²- 7x + 1
Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3
Step-by-step explanation:
3 to the power of 5
3^5
= 3x3x3x3x3
= 243
Answer:
243
Step-by-step explanation:
3^5=243
I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve
Answer: 576
Step-by-step explanation:
(I just know the powers of smaller numbers by memory so...)
2^6(2x2x2x2x2x2) = 64
You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512
Final answer = 512 + 64 = 576
[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]
[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]
[tex]\\ \sf\Rrightarrow 64+512[/tex]
[tex]\\ \sf\Rrightarrow 576[/tex]
Option A is correct
Which of the following groups cannot represent the side lengths of a triangle.
A.49,20,17
B.7,11,16
C.9,13,21
D.30,9,27
Answer:
try B for an answer, hope it helps
She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
Janie walked 10 miles. Then she walked 15
that distance. How far did she wall all together? Select all that apply.
E. , 10 × 45
B. , 10 ×15
D. 10(1 + 15)
C. 10 +15×10
A. 10 + 15
F. 10×65
Find the coefficient of z^3 in -7xy^2z^3
Answer:
z^3 in -7xy^2z^3 = -117649/1 = -117649
Step-by-step explanation:
I think sorry if wrong
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat
A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?
Answer:
V ≈ 552.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )
Answer:
The volume of Coke can is 552.64 cm².
Step-by-step explanation:
Given :
✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.To Find :
✧ Volume of Coke canUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]
✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = heightSolution :
Here's the Coke can is in cylindrical form.
So, finding the volume of Coke can by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]
[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]
Hence, the volume of Coke can is 552.64 cm².
Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts
Answer:
3/8
Step-by-step explanation:
hope this helped
the sum of six and two times a number is one
Answer:
Equation: 6+2x=1
Step-by-step explanation:
Sum means addition and just add an x for the 2 times a number and set it equal to 1.
Please help and quickly please and 20 points with brainelest
Thank you
Answer: The answer is B. 34
Step-by-step explanation:
3(12−9)+5^2
=(3)(3)+5^2
=9+5^2
=9+25
=34
Answer:
The answer is 34
Step-by-step explanation:
Order of operation is P.E.M.D.A.S. , or parenthesis, exponents, multiplication or division, then addition or subtraction.
3(12-9)+5² Parenthesis3(3)+5² Exponents3(3)+25 Multiplication9+25 Addition34 AnswerA ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer to the nearest tenth of an inch.
Answer:
36.7
Step-by-step explanation:
Mr. Glenn is making 30 school supply baskets. notepads come in packs of 5. Erasers come in packs of 15 and markers come in packs of 3. what is the least number of each package she should buy to have 1 item in each basket and no supplies left over
What is the volume of the container
Answer:
1468 in
Step-by-step explanation:
1) Find volume of entire figure
10*10*15=1500
2) Find volume of small piece that is cut out
2*4*4=32
3) Subtract smaller number from bigger number
1500-32=1468
Answer:
1,468 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume = length * base * height
Volume = 10 * 10 *15
10 * 10 *15 = 1500
To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.
4 * 4 * 2 =32
1500-32 = 1468 in^3
What is the slope-intercept equation for the line below?
5
(5.4)
(0, 2)
y
O A. - - x + 2
B. yo * +2
C. v - -** +2
D. v=x+2
HELP?!!!!
Answer:
[tex]y=\frac{2}{5}x+2[/tex]
Step-by-step explanation:
(x1, y1) = (5, 4)
(x2, y2) = (0, 2)
First, find the slope. The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the 2 points above in that form, so you can plug those in here:
[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]
The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the slope we found for m and whichever point you want for (x, y):
[tex]2=\frac{2}{5}0+b[/tex]
Now, solve for b:
[tex]2=0+b\\b=2[/tex]
In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.
Finally, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{2}{5}x+2[/tex]
what is the solution for x^0.5logx=0.01x^2 ?
Answer:
x1= 100 x2=99.999
Step-by-step explanation:
[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]
[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]
u=log(x)
[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]
[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]
[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]
Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)
Answer:
The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.
Step-by-step explanation:
algebric expressions formula
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b
That's all i know- rip TvT
What is the value of (2/3)2?
Answer:
2/3(2)
=(2/3)(2/1)
=(2*2)/(3*1)
=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
(2/3)2
(2/3)(2/1)=4/3
Find all the numbers for each shape
Answer:
1 = pentagon2 = diamond3 = square5 = circle6 = rectangle7 = oval8 = triangle9 = hexagon10 = trapezoidStep-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.