Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?
A company is designing a new cylindrical water bottle. The volume of the bottle will be 226 cm cubed. The height of the water bottle is 8.2 cm. What is the radius of the water bottle? Use 3.14 for pi
Need answer asap plsss!!
Answer:
2.96 cm to the nearest hundredth.
Step-by-step explanation:
V = 3.14 r^2 h
226 = 3.14 * r^2 * 8.2
r^2 = 226 / (3.14*8.2)
r^2 = 8.7774
r = 2.96 cm to the nearest hundredth.
A basketball team made $3,094 selling team hats. Each hat sold for $34. How many hats did the team sell?
Answer:
The team sold 91 hats.
Step-by-step explanation:
$3,094 ÷ %34 = 91
Help me please! so jarring
Answer:
y = -5x + 4.
Step-by-step explanation:
y = mx + c is the general form
- where m = the slope of the line and c is the y-value where the graph cuts the y-axis.
The graph passes through the points (0, 4) and (1, -1) so the slope
= (Y2 - y1) / (x2 - x1)
= (-1-4) / (1-0)
= -5 = m.
and c = 4.
round 8.48 to the nearest tenth
Answer:
8.50
Step-by-step explanation:
it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50
What is ur fav.
1) Chocolate 2) Vanilla 3) Strawberry 4) Mint Chocolate Chip 5) Cotton Candy 6) Coffee
Pick a number and put your name in the comments below with the number u picked
Answer:
cotton candy 6 I'm sure that's is answer thank youplease helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packed box will be the combined weight of the empty box and the product that is placed in the box. Jasmine is currently packing medium-sized boxes. Before packing her first box, Jasmine measured the weight of the empty medium-sized box to be 0.88 pounds. After packing the box, Jasmine measured the total weight of the box to be 7.24 pounds.
Complete the following equation so that it can be used to find the weight, w, of the product inside the first box that Jasmine packed, and then find the weight of the product.
0.88 pounds + w pounds = 7.24 pounds
The weight of the product inside the first box is
pounds ____?
Answer: 6.36lb
Step-by-step explanation:
Step-by-step explanation:
Total Weight of the package = weight of product + weight of box
Weight of empty box =0.88lb
Total weight of the box is =7.24lb
Let Weight of product inside box=w
Let wet of empty box =y
Total weight = F
Then,
F=y+w
Since F=7.24lb. y=0.88
Then, w=F-y
w=7.24-0.88
w=6.36lb
The weight of the product is 6.36lb
hope this helps :)
The set of ordered pairs shown below defines a relation.
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Which of the following represents the domain of this relation?
A { - 1,2,3,4}
-
-
® { - 6,0,5,7}
©{-1,4}
O {-6,7}
-
The domain of the given relation will be { - 1,2,3,4}.
What is a domain?The domain of the function is defined as the set of all the possible values of the function.
So here we have the ordered pairs given as:-
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Here the possible values for the input of the functions are { - 1,2,3,4}.
Therefore the domain of the given relation will be { - 1,2,3,4}.
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What are the solutions to the equation x2 − 1 = 399? a. b. c. d.
The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20
Solution to the system of equationsThe given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.
Given the expression
x^2 - 1 = 399
Add 1 to both sides
x^2 = 399 + 1
x^2. = 400
Take the square root of both sides
x = ±√400
x = ±20
Hence the solution to the given quadratic equation are -20 and 20
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Find the errors and solve the problem correctly!
Thanks
The sequence converges to 5 as n goes to ∞. We can prove this rigorously:
The claim is that, for [tex]n\in\Bbb N[/tex],
[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = 5[/tex]
By definition of the limit, this means for any ε > 0, there exists some N such that for any n larger than N, we have
[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| < \varepsilon[/tex]
In order to ensure this inequality, we work backwards to find N in terms of ε :
[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| = \left| \dfrac{5n-1 - 5(n+1)}{n+1} \right| = \dfrac4{|n+1|} < \varepsilon[/tex]
n is a natural number, so n + 1 > 0 and |n + 1| = n + 1. Then
[tex]\dfrac4{n+1} < \varepsilon \implies \dfrac{n+1}4 > \dfrac1\varepsilon \implies n+1 > \dfrac4\varepsilon \implies n > \dfrac4\varepsilon - 1[/tex]
Let N be the smallest natural number greater than or equal to 4/ε - 1, i.e.
[tex]N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]
Then the proof follows: suppose
[tex]n \ge N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]
Then
[tex]n \ge \left\lceil\dfrac4\varepsilon - 1\right\rceil \implies n > \dfrac4\varepsilon - 1 \\\\ \implies n+1 > \dfrac4\varepsilon \\\\ \implies \dfrac4{n+1} < \varepsilon \\\\\implies \left|\dfrac{5n-1}{n+1}-5\right| < \varepsilon[/tex]
as required.
Or we can avoid the rigor and use some facts we know about limits:
[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = \lim_{n\to\infty} \frac{5-\frac1n}{1+\frac1n} = 5[/tex]
since 1/n converges to 0 as n goes to ∞.
Will mark brainlist to whoever answers first
(6).
Answer:
Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle. Therefore RU = 16/2 would just give us 8.
What is the answer to this problem
Answer:
your answer is 242 in^2
A=22+52+168
A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. elena calculated the volume of the pyramid as shown. v = 1 3 bh v = 1 3 (80)(15) v = 400 in.3 what was her mistake? elena used the wrong units. elena incorrectly used the slant height instead of the height. elena multiplied incorrectly. elena should not have multiplied by one third.
Answer:
Elena incorrectly used the slant height instead of the height.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i got it right
Answer for 20 points :)
Answer:
sorry this question is do not understand
At Webster Elementary School, of
the fifth graders are enrolled in summer
camps. Of the students enrolled in
summer camps, 12 are enrolled in an
art camp. What fraction of the fifth
graders at Webster are enrolled in
art camp?
2,994 divided by 128 i need help
Answer:
Divide 320 by 128 to get 2
23.39062
128| 2994.00000
256
____
434
384
_____
500
384
_____
1160
1152
____
80
0
___
800
768
_____
320
256
_____
64
Stopping at 5 decimal places
The solution for Long Division of 2994/128 is 23.39062
23.39062
Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
What is the slope of the line through (-5, 13) and (2,-1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the slope of the line through (-5, 13) and (2, -1) ?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
We can use the slope formula :-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now , We replace letters with numbers ,
[tex]\Large\text{$\displaystyle\frac{-1-13}{2-(-5)}$}[/tex]
On simplification,
[tex]\Large\text{$\displaystyle\frac{-14}{2+5}$}[/tex]
On further simplification ,
[tex]\Large\text{$\displaystyle\frac{-14}{7}$}[/tex]
[tex]\diamond[/tex] Finally, We get
[tex]\longmapsto\sf\underline{\boxed{\tt{slope=-2}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
The slope of the line joining the points (a,b) and (c,d) is given by
[tex]{\boxed{\bf{Slope(m)=\dfrac{d-b}{c-a}}}}[/tex]Putting the values, we have:
[tex]{:\implies \quad \sf m=\dfrac{-1-13}{2-(-5)}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-14}{2+5}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-14}{7}=\boxed{\bf{-2}}}[/tex]
angles that are exactly 90 degrees are called
Answer:
Right angles.
Step-by-step explanation:
When an angle's measurements equal 90 degrees, it is called a right angle.
Answer:
Right angles
Step-by-step explanation:
For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.
Choose all of the following statements that suggest a positive association.
A. The less education a person has, the less money they will likely earn.
B. The less fruits and vegetables a person eats, the lower their risk for cancer.
C. The smaller a person's shoe size, the larger their pant size.
D. The more you study, the more likely you are to earn a better grade.
Answer:
D
Step-by-step explanation:
It is only d because that is the only positive statement.
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Please help ASAP
Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Using the regression line for this problem, the approximate Weekly Sales for shelf space that is :_________,i. 30. ii. 3.12 iii. 3.1 iv. 3.04 v. 2.99
The Weekly Sales for 30 shelf spaces is 3.04
How to determine the Weekly Sales for 30 shelf spaces?The proper table is added as an attachment.
Next, we determine the regression equation using a graphing calculator.
From the graphing calculator, we have the following calculation summary:
Sum of X = 225Sum of Y = 31.8Mean X = 15Mean Y = 2.12Sum of squares (SSX) = 750Sum of products (SP) = 46The regression equation is represented as:
y = bx + a
Where
b = SP/SSX = 46/750 = 0.06133
a = MY - bMX = 2.12 - (0.06*15) = 1.2
So, we have:
ŷ = 0.06133x + 1.2
When x =30, we have:
ŷ = 0.06133 * 30 + 1.2
Evaluate
ŷ = 3.04
Hence, the Weekly Sales for 30 shelf spaces is 3.04
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. octagon
Step-by-step explanation:
Riya's biking app says that she rides at a speed of 5 miles per hour.
At this speed, how far does Riya ride in 1 hour?
At this speed, how far does Riya ride in 3 hours?
Write an equation for the relationship between Riya's distance biked, d,and time t
Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =
Answer:
[tex]x=3.18[/tex] [tex]cm[/tex]
Explanation:
[tex]x=3.18[/tex] [tex]cm[/tex]
Substitute [tex]y=6 cm[/tex] into [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]
Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]
sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]
Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]
into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]
Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]
is 10 times as much as 20 1/10 of 2,000?
Answer:
IT IS 43./45455/.34 LIKE WHEN U ADD 10 TIMES 10 AND DIVIDED 2,000 FROM 20 U THAT ANSWER
Which Stem-and-Leaf Plot matches the data set shown below?{11, 23, 13, 17, 13, 24, 22, 32, 12, 35} PLEASE HELP ME
Answer:
I am going to use a dot to represent a line:
1 . 1, 2, 3, 3, 7
2. 2, 3, 4
3. 2, 5
Which equation describes the line with a slope of -3 that contains the point (2,4)?
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
Answer:
C. is the correct option
Step-by-step explanation:
When we find the equation using the point and slope formula, we get y=-3x+10
As you can see, that doesn't match any of the answers, since it is in the point-slope formula.
We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.
For this equation, we will distribute the 3, and then add 4 to both sides.
y-4=-3(x-2) ---> y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10
This leads back to the original equation so we know it is correct.
Find the value of x.
please explain because I'm confused
Answer:
40
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.
__
Clockwise from the bottom, the sum of exterior angles is ...
90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°
120° +6x° = 360° . . . . . . . simplify
6x = 240 . . . . . . . . . . divide by °, subtract 120
x = 40 . . . . . . . . . . divide by 6
The value of x is 40.
Answer:
x = 40°
Explanation:
The shape is a pentagon. Any polygon's exterior angles sum up to 360°.
Now, they all sum up to 360° :
⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°
⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°
⇒ 6x + 120° = 360°
⇒ 6x = 360° - 120°
⇒ 6x = 240°
⇒ x = 240°/6
⇒ x = 40°