Answer:
Bottom right
Explanation:
visualize both triangle connected to the middle rectangle, and that's a triangular prism
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.
Answer:
Approximately [tex]\text{$0.26$ radian}[/tex] every minute.
Step-by-step explanation:
Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)
[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].
Calculate the circumference of this circle:
[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].
Find the time required (in minutes) for this vehicle to go around this circle:
[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].
A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:
[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:
[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
find the maclaurin series of the given function f(x)=ln(1-x)
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
What rational number represents a drop of 4 1/4 in?
Enter your answer in the box.
Answer:
The fraction 1/4 is a rational number.
It stands for the ratio between the integers 1 and 4.
Answer:
this is your answer
Step-by-step explanation:
this is your answer
Area of rectangle 2x8/9
Answer:
32/9
Step-by-step explanation:
2*(2)(8/9) = 4*8/9 = 32/9
PLS HELPPPPP (It should be easy points for u) 50 POINTS
Answer:
7
6
3
1
1
because first they go down by three then one
Answer:
7
6
3
1
1
Step-by-step explanation:
solution to the system
y=-x2-3x+2
y=x+6
Answer:
[tex]x=-2,y=4[/tex]
Step-by-step explanation:
[tex]y=-x^2-3x+2[/tex]
[tex]y=x+6[/tex]
[tex]x+6=-x^2-3x+2[/tex]
[tex]x^2+x+6=-3x+2[/tex]
[tex]x^2+4x+6=2[/tex]
[tex]x^2+4x+4=0[/tex]
[tex](x+2)(x+2)=0[/tex]
[tex]x=-2[/tex]
[tex]y=(-2)+6=4[/tex]
help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?
Answer:
7 inches
Step-by-step explanation:
756÷108=7
that's about it, but I just divided the area and length.
Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles
a. How far is it around the perimeter of Crater Lake
b. What is the area of the surface of Crater Lake?
Give a step by step explanation please
Answer:
The perimeter of a circle is calculated with 2πr
The r stands for radius. The radius is half of the diameter.
So r=2.25
Plug it in 2π(2.25)
It was simplify to 4.5π
Which would simplify down to 14.14 miles rounding to the nearest hundredth.
What is 20% of 130.8?
Answer:
26.16
Step-by-step explanation:
Answer:
26.16
Step-by-step explanation:
20 percent of 130.8
= (20/100)*130.8
= (20*130.8)/100
= 2616/100 = 26.16
Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?
Answer:
$0.25 per ream
Step-by-step explanation:
The costs per ream are ...
X: $40/(8 reams) = $5/ream
Y: $19/(4 reams) = $4.75/ream
The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.
Solve the PROPORTIONS!
Answer:
q = 39Step-by-step explanation:
91 : 14 = q : 6
q = 91 * 6 : 14
q = 39
----------------------
check
91 : 14 = 39 : 6
6.5 = 6.5
the answer is good
.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23
Answer:
-0.2
Step-by-step explanation:
pls give me brainliest if possible
Solve for x. Show all work. 2/3 (x+7) =10
Answer:
answer is 8
Step-by-step explanation:
2/3(x+7)=10
2x/3+14/3=10
2x/3=10-14/3==>30-14/3
2x/3=16/3
x=16/3*3/2
x=8
The US average life expectancy at birth is 79.1 years. The National Sleep Foundation guidelines
recommend that adults (age 18 and up) should get 7.5 hours of sleep per night.
a) Assuming there are 365.25 days in one year, how many minutes of sleep does the person of
average life expectancy get during their adult years?
b) How many hours is this person awake during their adult years?
Answer: It depends on how many years a person lives.
Step-by-step explanation:
Can someone help me? I don't understand this
(2x + 3y)^2– (2x – 3y)^2
Hi,
(2x + 3y)² - (2x - 3y)²
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]
= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)
= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²
= 12xy
I hope it helped ✅(◠‿◕)
the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x
b) calculate the area if x=32 feet
answer
a.) y=2.5x
area=2.5x^2
b.)2560
Step-by-step explanation:
a. The construct the expression for the area of the rectangle in terms of x is y=2.5x
b. The area should be 2,560.
Given that,
the length of a rectangular house is two and a half times its width.Based on the above information, the calculation is as follows:
a) The expression should be y = 2.5x
b) The area should be
[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]
= 2560
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Suppose Bella wanted to make a gift basket worth $25 instead the gift basket must also have more wheat loaves than muffins show one way Bella can make the gift basket
help please use picture
Answer:
y= -1x+4
Step-by-step explanation:
-1/1 is simplified to -1
write the equation of the line that passes through the points ( 1, -1) and (0, 5)
Answer:
y=-6x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(0-1)
m=(5+1)/-1
m=6/-1
m=-6
y-y1=m(x-x1)
y-(-1)=-6(x-1)
y+1=-6(x-1)
y=-6x+6-1
y=-6x+5
Lincln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 688 cans have been collected. Write and solve an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Which two-step inequality represents this situation?
What is the solution to this equation? 1⁵+5²/25⁰-5¹=
Answer:
It is 21 first guy is no doubt correct.
Step-by-step explanation:
The expression results to 21.
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
1⁵+5²/25⁰-5¹
So, 1⁵ = 1
5² = 25
25⁰ = 1
5¹ = 5
Now, 1⁵+5²/25⁰-5¹
= 1+ 25 / 1 - 5
= 1 + 20
= 21
Hence, the expression results to 21.
Learn more about exponents and power here:
https://brainly.com/question/15722035
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Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?
Answer:
the discussion leader will moderate the discussion.
The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64, what is it worth now? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
The share of stock is $88.33 worth now which is the value of a share of stock on the stock market decreased by 14%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64 which is given in the question.
We have to determine the evaluation of 15% of 60.
⇒ 14% of $102.64
15% is expressed as 15/100 in fractional form
⇒ (14/100)(102.64)
15/100 is expressed as 0.15 in decimal form
⇒ (0.14)(102.64)
Apply the multiplication operation, and we get
⇒ 14.31
Therefore, 14% of $102.64 would be $14.31.
The share of stock is worth now: $102.64 - $14.31 = $88.33.
Learn more about the percentages here:
brainly.com/question/24159063
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Round 512.45 to the nearest ones place.
The answer would be 512.
Solve the |4X -5|= |-X +5|
Recall the definition of absolute value:
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
Then we have a few cases to consider:
• If [tex]4x-5\ge0[/tex] and [tex]-x+5\ge0[/tex], the equation simplifies to
[tex]4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}[/tex]
• If [tex]4x-5<0[/tex] and [tex]-x+5\ge0[/tex], we get
[tex]-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}[/tex]
• If [tex]4x-5\ge0[/tex] and [tex]-x+5<0[/tex], then
[tex]4x-5 = -(-x+5) \implies 3x=0 \implies x=0[/tex]
but we already have this solution.
• If [tex]4x-5<0[/tex] and [tex]-x+5<0[/tex], then
[tex]-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2[/tex]
which we also already found.
Solve the inequality p+4<-24
90 POINTS
Step-by-step explanation:
p+4<-24
collect like terms
p<-28
[tex]\\ \rm\Rrightarrow p+4<-24[/tex]
[tex]\\ \rm\Rrightarrow p<-24-4[/tex]
[tex]\\ \rm\Rrightarrow p<-28[/tex]
So
[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]
Find the perimeter of the rectangle whose: length = 1m, breadth = 75cm
Pls all answer fast PLS
Answer:
The perimeter of the rectangle is 3.5 m or 350 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.