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weeeeeb [17]
1 year ago
12

Suppose you have developed a scale that indicates the brightness of sunlight . Each category in the tablet is 5 time brighter th

an the category above it. For example, a day that is dazzling is 5 times brighter than a day that is radiant . How many times brighter is a dazzling day than a dim day
Dim is 2
Mathematics
2 answers:
Ostrovityanka [42]1 year ago
8 0

If you could put in the tablet.

But the equation would be: a_n = a_1 (r)^(x-1)

with a_1 being the first category

r being 5 how much brighter than the day before is

and x is what nr. in the sequence it is

But I'm not sure as I cannot see the table

umka21 [38]1 year ago
4 0

Answer:

10 Times

Step-by-step explanation:

From the statement "Each category in the tablet is 5 time brighter than the category above it." It can be inferred that the brightest portion of the day must be 5 times the less bright day. This means that:

Dim = 2

Brightest = 5 times dim

               = 5 * 2

               = 10

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Tommy is ordering concrete for a construction project. The price of concrete is $.02 per pound. Concrete is also taxed at a rate
uysha [10]

Answer:

$1000

Step-by-step explanation:

We are given that,

Price of concrete = 0.02 dollars per pound

Tax rate on concrete = 0.03 per pound

Thus, the total cost of the concrete = 0.02 + 0.03 = 0.05 dollars per pound

Since, we know,

1 pound = 0.0005 tons

As, Cost of 1 pound = $0.05

i.e. Cost of 0.0005 tons = $0.05

Then, cost of 1 ton = \frac{0.5}{0.0005} = $1000.

Hence, the cost Tommy needs to pay is $1000.

8 0
2 years ago
F(5)= 12 for geometric sequence that is defined recursively by the formula f(n) = 0.3* f(n-1), where n is an integer and n is gr
svet-max [94.6K]

The value of f(7) is 1.08

<em><u>Solution:</u></em>

Given that,

f(5) = 12

<em><u>The sequence is defined recursively by formula:</u></em>

f(n) = 0.3 \times f(n-1)

where n is an integer and n is greater than 0

<em><u>Substitute n = 6 in given formula,</u></em>

f(6) = 0.3 \times f(6-1)\\\\f(6) = 0.3 \times f(5)\\\\Substitute\ f(5) = 12\\\\f(6) = 0.3 \times 12\\\\f(6) = 3.6

<em><u>Find f(7)</u></em>

<em><u>Substitute f = 7 in given formula</u></em>

f(7) = 0.3 \times f(7-1)\\\\f(7) = 0.3 \times f(6)\\\\f(7) = 0.3 \times 3.6\\\\f(7) = 1.08

Thus the value of f(7) is 1.08

7 0
1 year ago
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
Naddika [18.5K]

Answer with Step-by-step explanation:

We are given that Laplace's equation

u_{xx}+u_{yy}=0

We have to determine given function is  solution of given laplace's equation.

If a  function is solution of given Laplace's  equation then  it satisfy the solution.

1.u=e^{-x}cosy-e^{-y}cosx

Differentiate w.r.t x

Then, we get

u_x=-e^{-x}cosy+e^{-y}sinx

Again differentiate w.r.t x

u_{xx}=e^{-x}cosy+e^{-y}cosx

Now differentiate u w.r.t y

u_y=-e^{-x}siny+e^{-y}cosx

Again differentiate w.r.t y

u_{yy}=-e^{-x}cosy-e^{-y}cosx

Substitute the values in given Laplace's equation

e^{-x}cosy+e^{-y}cosx-e^{-x}cosy-e^{-y}cosx=0

Hence, given function is a solution of given Laplace's equation.

2.u=sinx coshy+cosx sinhy

Differentiate w.r.t x

u_x=cosx coshy-sinx sinhy

Again differentiate w.r.t x

u_{xx}=-sin x coshy-cosxsinhy

Now, differentiate u w.r.t y

u_y=sinx sinhy+cosx coshy

Again differentiate w.r.t y

u_{yy}=sinx coshy+cosx sinhy

Substitute the values then we get

-sinx coshy-cosxsinhy+sinxcoshy+cosx sinhy=0

Hence, given function is a solution of given Laplace's equation.

4 0
1 year ago
Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te
aksik [14]
Mean is same as average

to find average
add up terms
divided that sum by the number of terms you have
example

mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean



so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)

mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93

she needs a score of 93 on next test
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2 years ago
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Mama L [17]

the answer is 17.5 units

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