1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11Alexandr11 [23.1K]
3 years ago
13

5 - 7 second power + 6 - 7 second power + 5 - 7 second power + 6 - 7 second power + 10 - 7 second power + 10 - 7 second power​

Mathematics
1 answer:
Zanzabum3 years ago
8 0

ANSWER: -252

HOW TO GET IT:

Simply follow PEMDAS. Solve each exponent first, then do the rest.

You might be interested in
Find the volume and area for the objects shown and answer Question
klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of ​​the given solids.

\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2

\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\

\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}

\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}

SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}

6 0
2 years ago
Find the perimeter of the figure to the nearest hundredth. Sorry to ask ANOTHER question on this stuff but I'm doing an assignme
WARRIOR [948]

Answer:

I did my best, but it has been a while. I really hope that this helps

Step-by-step explanation:

so you can find the perimeter of a circle

-----The perimeter of a circle is π × d where d is the diameter so half of that is 1/2 π × d. But If you are going to walk around a semicircle, you need to go halfway around the circle and then across a diagonal to get back to where you started, so the perimeter is 1/2 π × d + d.

7 0
2 years ago
What is the simplified form of i14
cestrela7 [59]

Answer:

-1

Step-by-step explanation:

Rewrite i 14 as ( i 4 ) 3 × i 2 . If i = √ − 1 , then i 2 = − 1 .

From here ( i 2 ) 2 = ( − 1 ) 2 , so i 4 = 1 . If i 4 = 1 ,

then we can say that: i 14 = ( 1 ) 3 × i 2 = i 2 = − 1

7 0
2 years ago
Read 2 more answers
What is the inequality?
crimeas [40]

Answer:

y\leq \frac{1}{2}x+2

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the inequality is of the form y\leq mx+b)

The y-intercept of the solid line is (0,2)

The x-intercept of the solid line is (-4,0)

The slope of the solid line is

m=(0-2)/(-4-0)=\frac{1}{2}

The equation of the solid line is y=\frac{1}{2}x+2

therefore

The linear inequality represented by the graph is

y\leq \frac{1}{2}x+2

6 0
2 years ago
Explain how to find the slope of the line if the equation is in standard form
dimulka [17.4K]
Make the y as the subject like y= 3x + 1

the slope was next to the x

so the slope is 3

i am a mathematics teacher. if anything to ask please pm me
8 0
3 years ago
Other questions:
  • A model car is 5 inches long. The actual length of the car is 15 feet . What is the scale factor of the model car?
    6·2 answers
  • What is the probability of getting a 4 each time if a die is rolled 3 times
    15·1 answer
  • Does a decimal point move when you multiply a whole number by hundred
    15·2 answers
  • A bee flies at 20 feet per second directly to a flower bed from its hive. HThe bee stays at the flower bed for 15 minutes, then
    7·1 answer
  • You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?
    13·2 answers
  • Given the following definitions:
    12·1 answer
  • 6xy in simplest form
    14·1 answer
  • Calculate the density of a rock that has a mass of 454 g and a volume of 100.0 cm3.
    6·1 answer
  • Which vocabulary word best describes the math sentence you see here?
    15·1 answer
  • How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!