A fancy dinner for two cost $69.06 before a 1% tox

Help those 4 questions please and show your work please

rewona [7]

1) Temperature in Fahrenheit =77°F.

2) Temperature in Celsius= 25°C

3) Height of rectangular prism = 8 inches

4) Width of rectangle = 40 inches

Step-by-step explanation:

1) If Temperature is 25°C . How many degrees Fahrenheit is it?

The formula to calculate temperature in Fahrenheit is:

$F=(C\times\frac{9}{5})+32$

Putting value of Celsius:

$F=(C\times\frac{9}{5})+32 \\F=(25\times\frac{9}{5})+32\\F=(5\times9)+32\\F=45+32\\F=77$

So, 25°C in Fahrenheit is 77°F.

2) If temperature is 77°F,what is the temperature in Celsius?

The formula used is:

$C=(F-32)\times\frac{5}{9}$

Putting value of Fahrenheit is:

$C=(F-32)\times\frac{5}{9}\\C=(77-32)\times\frac{5}{9}\\C=45\times\frac{5}{9}\\C=25$

So, temperature in Celsius is 25°C.

3) The volume of triangular prism is 64 inches³. The length is 2 inches and width is 4 inches. What is height.

The formula of finding volume of triangular prism is:

$V=L\times W\times H$

Putting values:

$V=L\times W\times H\\64=2\times 4\times H\\64=8\times H\\H= 64/8\\H=8$

So, height of triangular prism is 8 inches.

4) The area of rectangle is 80 inches. if length is 20 inches what is the width of rectangle.

The formula used is:

$Area=Length\times Width$

Putting values:

$Area=Length\times Width\\80=20\times Width\\W=80/20\\W=40$

So, width of rectangle is 40 inches.

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6 0

4 years ago

-8 ≤ 2/5(k-2)<br> What is the equation

Ksivusya [100]

i believe the answer is , k ≥ −18 , i’m not sure tho

8 0

3 years ago

Read 2 more answers

What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?

boyakko [2]

Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

$a=8$

$d=5-8=-3$

We know that the explicit equation of an AP is

$a_n=a+(n-1)d$ , where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

$a_n=8+(n-1)(-3)$

$a_n=8-3(n-1)$

So, domain of this explicit equation is all integers where n ≥ 1.

Therefore, the correct option is C.

4 0

4 years ago

Express the given integral as the limit of a riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed m

WARRIOR [948]

We will use the right Riemann sum. We can break this integral in two parts.
$\int_{0}^{3} (x^3-6x) dx=\int_{0}^{3} x^3 dx-6\int_{0}^{3} x dx$
We take the interval and we divide it n times:
$\Delta x=\frac{b-a}{n}=\frac{3}{n}$
The area of the i-th rectangle in the right Riemann sum is:
$A_i=\Delta xf(a+i\Delta x)=\Delta x f(i\Delta x)$
For the first part of our integral we have:
$A_i=\Delta x(i\Delta x)^3=(\Delta x)^4 i^3$
For the second part we have:
$A_i=-6\Delta x(i\Delta x)=-6(\Delta x)^2i$
We can now put it all together:
$\sum_{i=1}^{i=n} [(\Delta x)^4 i^3-6(\Delta x)^2i]\\\sum_{i=1}^{i=n}[ (\frac{3}{n})^4 i^3-6(\frac{3}{n})^2i]\\
\sum_{i=1}^{i=n}(\frac{3}{n})^2i[(\frac{3}{n})^2 i^2-6]$
We can also write n-th partial sum:
$S_n=(\frac{3}{n})^4\cdot \frac{(n^2+n)^2}{4} -6(\frac{3}{n})^2\cdot \frac{n^2+n}{2}$

4 0

4 years ago

Cost of a bicycle: $500.00<br> Markup: 15%<br> What’s the selling price:

allsm [11]

Answer:

Step-by-step explanation:

Markup price= 15% of 500

$=\frac{15}{100}*500\\\\=15*5\\$

= $ 75

Selling price = 500 + 75 = $ 575.00

7 0

4 years ago