The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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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
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
A numerical measure computed from a sample, such as sample mean, is known as a.
Answer:
Sample statistic
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
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 youpls help find the lateral surface area of this prism in square centimeters, i give brainliest!! :)
Answer:
1232 square meters
Step-by-step explanation:
The lateral surface area are all the rectangles.
1st rectangle:
A = lw
A = 25(22)
A = 550
2nd rectangle:
A= lw
A = 7(22)
A = 154
3rd rectangle:
A = lw
A = 24(22)
A = 528
Add the areas together.
550 + 154 + 528 = 1232
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.
please help me solve this
[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
The question can be easily solved applying trigonometry ~
We know that ,
[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]
Given - θ = 30° and hypotenuse = 6cmTo find - the perpendicular , i.e. , value of xSubstituting the values in the formula of sin θ
[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]
now , we know that sin 30° = 1/2
[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]
on cross multiplying ,
[tex]\implies \: 2x = 6 \\ [/tex]
dividing both sides of the equation by 2 ,
[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]
hope helpful ~
please 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 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:
$3,094 ÷ %34 = 91
#46 will give brainliest
Answer:
50
Step-by-step explanation:
This is the equation:
x = 5 + 3y
We know that:
x - y = 35
Meaning we only need to solve for y now:
(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15
Meaning the final formula is
x = 5 + 3(15)
x = 50
Let's set some variables before we solve:
First number ⇒ xSecond number ⇒ yOkay's lets read the question
'x' is 5 more than three times 'y'⇒ [tex]x = 3y +5[/tex]
⇒ [tex]x-3y=5[/tex]
Their difference is 35⇒ [tex]x - y = 35[/tex]
Let's put the two equations together and solve
[tex]x-3y=5 --equation1\\[/tex]
[tex]x-y=35 -- equation2[/tex]
(equation2) - (equation1)
[tex]2y = 30\\y = 15 -- equation 3[/tex]
(equation 3)'s value of y into (equation2)
[tex]x - 15= 35\\x = 50[/tex]
Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]
The larger number is 50
Answer: 50 or Choice 3
Hope that helps!
What is the slope of the line through (-5, 13) and (2,-1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the slope of the line through (-5, 13) and (2, -1) ?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
We can use the slope formula :-
[tex]\Large\text{$\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]
PLEASE HELP ASAP!! DUE IN 10 MINUTES!! I'LL MARk BRAINLIEST ADN HIGH POINTS!! PLEASE HELP!!
Answer:
*speedrunning intensifies*
A:
Min is 15
LQ is 23
Median is 36
UQ is 38
B:
IQR is 38 minus 23, or 15, I guess that the data is not very consistent and it is spread out?
C:
Min is calculated by looking at the end of the far left line
LQ is the far left of the box
Median is the line inside the box
UQ is the the far right of the box
IQR is UQ subtract LQ
I answered because I wanted you to get brainliest!
A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for a.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
34 in²
Step-by-step explanation:
20.7 / 3.14 = 6.592 = diameter
6.592 / 2 = 3.296 = radius
3.296²(3.14) = 34.1
≈ 34 in²
5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?
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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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 ∞.
what is blank % of 18 = 9
Answer:
50 percent, trust me.
Answer: 50%
Step-by-step explanation: 50/100 x 18 = 9
50/100 can also be written as 0.5
0.5 x 18 = 9
of = multiply
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.
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
Which equation represents the transformed function below? on a coordinate plane, a parent function starts at (0, negative 1) and then curves up into quadrant 1 and approaches y = 1. a transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6. _____ = parent function; y = log x - - - - - = transformed function y = log x 5 y = log x minus 5 y = log (x 5) y = log (x minus 5)
The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,
y=logx
A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.
y=logx +5
Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
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Answer:
yeah its a
Step-by-step explanation:
yw
Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .
What is the smallest and largest angle of the garden?
Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
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.
Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE
Answer:
Step-by-step explanation:
calculate the length of ed and be
Answer:
ED = 6.5 cm
BE = 14.4 cm
Step-by-step explanation
AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB
so
ED = 5×26/20 = 130/20 = 6.5 cm
and
AB/AC = BE/CD => BE = AB×CD/AC
so
BE = 20×18/25 = 360/25 = 14.4 cm
Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular.
Step-by-step explanation:
a trapezoid.
the 2 sides on the left and the right are equal (congruent), and so are the diagonals.
but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).
Evan places a rectangular birdbath in his garden. The dimensions are 24, 8, and 11
2
in. Explain how to find the maximum amount of water the birdbath can hold. Then find the amount.
The maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have a rectangular birdbath in his garden. The dimensions are 24, 8, and [tex]1\dfrac{1}{2}[/tex] inches
The maximum amount of water in the birdbath = volume of the birdbath
[tex]\rm = 24 \times 8 \times 1\dfrac{1}{2}[/tex]
[tex]\rm = 24 \times 8 \times \dfrac{3}{2}[/tex]
= 288 cubic in
Thus, the maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.
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Can somebody help me on this
Answer:
7 + 7 = 14
you have 7 apples and add 7 more thats 14
Step-by-step explanation:
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.