Solve for a
1/12 a +21 = 25

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

Read more about height functions at:

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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

Answer:

try B for an answer, hope it helps

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

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.

Answer:

80

Step-by-step explanation:

180 - 100 = 80

(Meeting character limit)

Answer:

z^3 in -7xy^2z^3 = -117649/1 = -117649

Step-by-step explanation:

I think sorry if wrong

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]

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.

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,

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#SPJ2

Answer:

Step-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.

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 this problem:

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

Answer:

$48.6

Step-by-step explanation:

We have to use Unitary Method, means, we'll first have to find cost of one unit.

Hope it helps :)

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 :

To Find :

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]

Solution :

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.

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

Answer:

3/8

Step-by-step explanation:

hope this helped

[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]

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

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

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:

Step-by-step explanation:

3 to the power of 5

3^5

= 3x3x3x3x3

= 243

Answer:

243

Step-by-step explanation:

3^5=243

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.

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]

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.

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

Answer:

36.7

Step-by-step explanation:

Answer:

24 cans at Waitrose would be £10.05.

24 cans at Budgins would be £11.56.

Step-by-step explanation:

Times the waitrose offer by 3

Times the budgins offer by 4

Hope that helped. x