Three copies of this rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new rectangle be? Consider all possibilities.
Answers
Answer:
388in or 202in
Step-by-step explanation:
I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.
When this is done the new length along the bottom and top become 45×4=180.
Now to find the perimeter, 180+180+14+14=388in
Other possibility
Connect the three copies along the top.
Now we need to do 14×4=56, which is the new side length.
Now to find the perimeter, 56+56+45+45=202in
Related Questions
find the equation perpendicular to the line y=2x-2 and passing through (-3 5)
Answers
Answer:
wow sry this is a tuff one :(
Step-by-step explanation:
como se daca el area de un triangulo
Answers
The area is the measure of a space delimited by a contour that is called perimeter. In some cases, the term surface or area is often used interchangeably, but the former refers to space, while the latter refers to its measurement. That is, area is the measurement of a surface.
To calculate the area of a triangle:Obtaining the measurements of its sides,
The sides are:
BaseHeightEach of these sides measures a certain amount, for that, which is multiplied.
To calculate the area: multiply the given value of the base by the value of the height, and divide by 2.
For this, the following formula is applied:Area = B * h / 2See more at:https://brainly.com/question/24514946**Spam answers will not be tolerated**
Please evaluate the Derivative using the Limit Process. Show all workings.
Answers
Answer:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Step-by-step explanation:
We have the function:
[tex]\displaystyle f(x)=\frac{4}{\sqrt x}[/tex]
And we want to find the derivative using the limit process.
Recall that the definition of a derivative is:
[tex]\displaystyle \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Therefore, by substitution:
[tex]\displaystyle \lim_{h \to 0}\frac{\dfrac{4}{\sqrt{x+h}}-\dfrac{4}{\sqrt x}}{h}[/tex]
First and foremost, we can move the constant factor outside of the limit:
[tex]\displaystyle =\lim_{h \to 0}\frac{4\left(\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}\right)}{h}\\ \\=4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}[/tex]
Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}\left(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x}\right)[/tex]
Distribute:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\left({\sqrt{x+h}\sqrt x}\right)\dfrac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\dfrac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}[/tex]
Distribute and simplify:
[tex]\displaystyle =4 \lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }[/tex]
Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:
[tex]\displaystyle = 4\lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }\left(\frac{\sqrt x +\sqrt{x+h}}{\sqrt x +\sqrt{x+h}\right)}[/tex]
Simplify:
[tex]\displaystyle =4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\ \\ \\ =4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})} \\ \\ \\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Cancel like terms:
[tex]\displaystyle =4 \lim_{h \to 0} -\frac{1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Now, we can use direct substitution. Hence:
[tex]\displaystyle \Rightarrow4 \left( -\frac{1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})}\right)[/tex]
Simplify:
[tex]\displaystyle =4\left( -\frac{1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})}\right) \\ \\ \\ =4\left( -\frac{1}{(x)(2\sqrt{x})}\right)[/tex]
Multiply:
[tex]\displaystyle =- \frac{4}{2x\sqrt{x}}[/tex]
Reduce and rewrite:
[tex]\displaystyle =-\frac{2}{x(x^{{}^{1}\! / \! {}_{2} \!})}[/tex]
Simplify:
[tex]\displaystyle =-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Therefore:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
To rule How to find f(7) ?
Answers
Given f(x),=19x+10find f(4).
Answers
F(4)= 19(4)+10
F(4)=76+10
F(4)= 86
Hope this helps!!
Mr. Sloan is purchasing 2.3 pounds of trail mix that costs $6.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20. do it on rational numbers
Answers
Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier
Solve for t.
Speed (Velocity)
V = d/t
Answers
Answer:
t = d/V
Step-by-step explanation:
V = d/t
Multiply each side by t
Vt = d/t *t
Vt = d
Divide each side by V
Vt/V = d/V
t = d/V
Plzz answer quickly
Answers
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)
Answers
Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additional fee for a helmet is $3 for the entire ride
Answers
Answer:
You will ride for 4 hrs 8minStep-by-step explanation:
What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.
firstly we need to model the inequality (equation) for this scenario.
the constant fee= $3 additional fee for helmet
[tex]3+15n\leq 65\\\\[/tex]
We can now solve for n since the above inequality satisfies the condition presented in the problem statement.
[tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]
Divide both sides by 15 to find n
[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]
Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?
Answers
Answer:
The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Step-by-step explanation:
The information provided is:
Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:
Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons
Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.
[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]
[tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]
Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
I am a two digit prime number I am one less than multiple of 10. If you add 30 to meet you get another prime number. What number am I?
Answers
Answer: 29
Step-by-step explanation:
What percent of 101 is 16.16?
Answers
Answer:
16.16 is 16% of 101
Step-by-step explanation:
Hope this helps!
Dori bought a sandwich for $6.75, a bag of dried fruit for $1.45 and a bottle of water for $1.75. She paid the cashier with a $20 bill. How much change did she receive?
Answers
Answer:
She would receive $10.05 cents back
Step-by-step explanation:
Add 6.75, 1.45, and 1.75. You would get 9.95. Then, you would subtract $20.00 by $9.95, getting 10.05 as change.
Hope this helps!
A line that passes through the points (2,1) and 6,9
Answers
Step-by-step explanation:
this is the ans in my view
Es para hoy hasta las 8:30 Cuantos vasos, con capacidad de 200 mililitros, se necesitan para trasvasar 20 litros de leche que están en un tonel de 200 litros a un porrón de 25 litros de capacidad
Answers
Answer:
100 vasos
Step-by-step explanation:
Sabemos que usando la conversión de unidades SI
1 litro = 1000 mililitros
En la pregunta se nos dice que:
Necesitamos trasvasar 20 litros de leche utilizando vasos de 200 mililitros de capacidad.
Por lo tanto,
1 litro = 1000 mililitros
20 litros =
20 litros × 1000 mililitros / 1 litros
= 20.000 mililitros de leche que hay que transferir.
Dado que estamos usando vasos con capacidad de 200 mililitros, la cantidad de vasos necesarios
= 20.000 mililitros de leche / 200 mililitros
= 100 vasos
Por tanto, se necesitan 100 vasos de 200 mililitros de capacidad para trasvasar 20 litros de leche que se encuentran en un barril de 200 litros a una jarra de 25 litros de capacidad.
help help help help help help
Answers
Answer:
a) (-2, -1)
b) (-3, 0) and (-1, 0)
Step-by-step explanation:
The turning point is the same as the vertex of the graph.
The vertex would be (-2, -1).
The zeros of the equation would be where the graph crosses the x-axis when y = 0.
The roots would be (-3, 0) and (-1, 0).
What is the x-coordinate of the image of point (−2, 6) after a reflection in the -axis?
Answers
(2,6) after a reflection in the x axis
(-2,-6) after a reflection in the y axis
Simplify:
4 (1/2 + 5/4) +-5=
A.2
B.3
C.4
D.5
Answers
Answer:
2
Step-by-step explanation:
First do whats in the parenthesess
it will look like this
2+5-5=2 the 5's cancel eachother out so your left with 2
A manager of a grocery store collects data on each shopper who uses the self-checkout lanes on a Saturday morning. Which of the following is an example of a discrete quantitative variable that might be recorded in this setting?
the gender of each shopper
the shopper’s use of coupons
the number of items for each shopper
the time each shopper spends completing the transaction
Answers
Answer:
The correct option is;
The number of items for each shopper
Step-by-step explanation:
Quantitative data are data that are the result of a measurement and are therefore the numerical value assigned as an attribute of an item based on measurement. Examples of quantitative data are, the weights or heights of items, the count of an item and other similar measurable data
Discrete data are data to which are assigned specific unique numerical values
Data that is obtained by counting of a number of items are quantitative discrete data
Therefore, of the options, the one that is a discrete quantitative variable is the number of items for each shopper as it is countable which makes it quantitative and it carries a unique number, which makes it countable.
Answer:
The number of items for each shopper
Step-by-step explanation:
give the other guy brainliest
Solve for x: -1 < x + 3 < 5
Answers
Work Shown:
-1 < x+3 < 5
-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides
-4 < x < 2
Please help!! I've been getting them all wrong
Answers
Answer:
your welcome it has to be c
Answer:
I honestly dont know
Step-by-step explanation:
Use a calculator for algebra srry if this answer is useless
HELP ME PLZ !!! The first one who answers gets brainliest
Answers
Hope this can help.
ax+b=c for x how do I solve this can someone help explain it to me.
Answers
Answer:
x= c - b / A
please look at the step by step explanation to better understand :)
Step-by-step explanation:
subtract b from the left side and right side
so you are left with Ax = c - b
divide what number c - b is by A
and you are left with x= c - b / A
Solve for t 4/3 = t/7
Answers
Answer:
t=28/3
Step-by-step explanation:
Id this helped feel free to send thanks and give brainliest so I can continue to help people around the brainly community.
write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help will mark brainliest
Answers
Answer:
Step-by-step explanation:
GIRL! You should add diagrams to these types of questions. It would really help
That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.
And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm
Answer:
the answer is fjdixekd
Pls help if you know
Answers
Answer:
C
Step-by-step explanation:
A: (16 - 12)² = 4² = 16 (Incorrect)
B: -|-4| = -(4) = -4 (Incorrect
C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)
(3x-2)(2x+4) using the box method of multiplication
Answers
Answer:
6x²-8x-8
Step-by-step explanation:
[tex](3x - 2)(2x + 4)[/tex]
[tex]3x \times 2x = 6 {x}^{2} \\ 3x \times 4 = 12x \\ - 2 \times 2x = - 4x \\ - 2 \times 4 = - 8[/tex]
[tex]6 {x}^{2} + 12x - 4x - 8 \\ 6 {x}^{2} + 8x - 8[/tex]
Answer:
(3x-2)(2x+4)
= 6x^2+8x-8
Step-by-step explanation:
What is the base....
Answers
Answer:
Step-by-step explanation:
-5x the base
1.4.27
Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)
Answers
Answer:
(a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
Step-by-step explanation:
Given that,
RS = 5y+3
ST=4y+7
RT=64
(a). We need to calculate the value of y
Using given data
[tex]RS+ST=RT[/tex]
Put the value into the formula
[tex]5y+3+4y+7=64[/tex]
[tex]9y=64-10[/tex]
[tex]y=\dfrac{54}{9}[/tex]
[tex]y=6[/tex]
(b). We need to calculate the value of RS
Using equation of RS
[tex]RS=5y+3[/tex]
Put the value of y
[tex]RS=5\times6+3[/tex]
[tex]RS=33[/tex]
We need to calculate the value of ST
Using equation of ST
[tex]ST=4y+7[/tex]
Put the value of y
[tex]ST=4\times6+7[/tex]
[tex]RS=31[/tex]
Hence, (a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.