Answer:
Perimeter of rectangle = 2L + 2W
2L + 2 * 36 = 148
2L = 148 - 72
2L = 76
L = 38 inches
[tex] \\ [/tex]
To find:-Length of rectangle[tex] \\ [/tex]
Solution:-We know:-
[tex] \bigstar \boxed{ \rm Perimeter \: of \: rectangle = 2(length + width)}[/tex]
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 148 = 2(length + 36) \\ [/tex]
[tex] \\[/tex]
[tex] \dashrightarrow \sf 148 = 2(length) + 2(36) \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 148 = 2(length) + 2 \times 36 \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 148 = 2(length) + 72 \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 148 = 2length + 72 \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 148 - 72= 2length \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf76= 2length \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 2length = 76 \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf length = \dfrac{76}{2} \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf length = \cancel \dfrac{76}{2} \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf length = 38 \: inches[/tex]
what is the value of X
Is
−
351
in the sequence below?
27
,
25
,
23
,
21
,
19
,
.
.
.
Answer:
Step-by-step explanation:
All numbers in the sequence are odd integers in decreasing order, -351 is also an odd integer, so the answer is YES.
What is the equation for the graph shown?
Answer:
y = 2x/3 + 4
Step-by-step explanation:
The line passes through (-6, 0) and (0, 4)
slope = (4 - 0)/(0 - (-6)) = 4/6 = 2/3
y = (2/3)x + b
when x = 0, y = 4, so
4 = (2/3)*0 + b
b = 4
so
y = 2x/3 + 4
The line given by y = 3/2 * x - 2 is dilated by a scale factor centered at the origin. The image of the line after dilation is given by - 3x + 2y = - 20 . What is the scale factor of the dilation ?
Answer:
Here is your answer
Step-by-step explanation:
What is the independent variable?
Answer:
Step-by-step explanation:
So there are two types of variables we need to focus on, the first is the dependent variable, the second is the independent variable ( which is the one in question). You asked about it in relation to mathematics, although even across the board, in science they both really mean the same thing. Here's an example, say you are taking a test, and the rubric for grading the test is 5 points (p) for every question (q) answered correctly. So given that information you can conclude that (p) is equal to 5 x the amount of questions you got right (p = 5q). The amount of points in this equation relies on how many questions you get right, you can't logically say that question (q) is equal to 5 points (p), because the questions don't depend on the points, the points depend on the amount of questions you get right. So that means since the points (p) depend on the # of questions you answered correctly, it is the dependent variable, there for by process of elimination you're independent variable is (q) since they don't rely on the points, the points rely on the questions. It all boils down to how well you can recognize this, and how complicated your question is, but hopefully this provided some insight.
list multiples of [tex]\frac{5}{8}[/tex]
Answer:
5/8
10/8 = 1 2/8 = 1 1/4
15/8 = 1 7/8
20/8 = 2 4/8 = 2/1/2
Step-by-step explanation:
DO NOT multiply both the numerator and the denominator by the same value.
The AP Statistics class at the Hallways School for Girls takes a random sample of 50 students (from the school population of 698) and asks them if they get
enough sleep. 18 of the respondents say "yes."
a. Check that all conditions for using the normal approximation to the sampling distribution are met in this scenario.
b. Construct a 95% confidence interval for the proportion of students at the Hallways School for Girls that will say they get enough sleep
c. Before doing this poll, Anna hypothesized that only 25% of all Hallways girls will say they get enough sleep. Based on your data and answer from
part (a) do you think Anna's hypothesis should be rejected? Should it be accepted?
d. If 42% of all girls at Hallways School for Girls would actually say they get enough sleep, what is the probability of getting a sample with as few (or
fewer) "yes" answers as the AP class got?
What is m
A.)120°
B.)75°
C.)80°
D.)85°
Answer:
120
Step-by-step explanation:
linear angle (straight line) = 180
180-60 = 120
How much did rosemary pay per pound?
Answer:
0.89
Step-by-step explanation:
2.24/3 = 0.89
She paid 89 cents per pound of tomatoes.
Have a great day!
Please rate and mark brainliest!
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 59 feet, and the length of the other base is 42 feet. The height is 26 feet. What is the area of this section of the deck?
Answer:
i think it 32214
Step-by-step explanation:
59 x 42 = 2478 x 26 = 66428. And divided by 1/2 (I'm sorry if im wrong)
-5a + 3 > 1
Find the value of A
Thanks!
Answer:
a<5/2
Step-by-step explanation:
you first subtract 3 to both sides. then you divide both sides by -5 and get a>5/2. then you flip the sign because you divided by a negative.
If a salesman averages a new order every other week, he will break the office record for the year. However, after 32 weeks he is four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?
The proportion of remaining weeks that he has to obtain a new order to break the record is: 0.7 = 70%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He needs a new order every other week, that is, 0.5 orders per week, hence over one year = 52 weeks, the number of orders is:
O = 0.5 x 52 = 26 orders.
Over the first 32 weeks, the expected number was:
E = 0.5 x 32 = 16.
He was four orders behind schedule, that is, he had 12 orders, hence he needed 26 - 12 = 14 orders in the remaining 52 - 32 = 20 weeks, hence the proportion is:
p = 14/20 = 0.7.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
After 2 years, $90,000 deposited in savings account with simple interest had earned
$3,600 in interest. What was the interest rate?
HURYYY
Answer:
2% I think, I don't know, 4%‽
Let V = {(x, y, 2x - 3y)|x, yeR}. Prove that V is closed for addition and scalar multiplication i.e. that V is the subspace of R.
Reposting to ensure question stays up.
Answer:
To prove V is a subspace of R, you must show:
(1) It is not empty
(2) Adding vectors returns real numbers
(3) Multiplying by scalars return real numbers
2 & 3 follow the conditions that x,y must be real.
===
(1):
0 = 0 + 0 , therefor V cannot be an empty set. Really thats it.
===
(2)
Let u=(u1, u2 , 2u1-3u2)
Let v *lowercase =(v1, v2, 2v1-3v2)
Great, now lets add them. This isn't intuitive unless you finish reading it all.
u+v = ( u1 + v1 , u2 + v2 , 2u1 - 3u2 + 2v1 - 3u2 )
--> u + v = [ (u1+v1), (u2+v2) , (2u1 + 2v1) + (-3u2 - 3v2) ] (got like terms kinda)
====> All must equal (x,y, 2x-3y)
... which means x=u1+v1 & y=u2+v2 (you compare u+v to V for this)
===
(3)
Let c be a real number.
C(u) = (Cu1, Cu2, C2u1 - C3u2)
====> Must equal (x,y, 2x-3y)
... which means Cu1 = x & Cu2 = y
Cu is in V (because x,y are)
-> V is a subspace of R3.
You are getting your carpet cleaned. You have three bedrooms (9x10’); 10x12 and 11x16), a living room (14’x16’) and dining room (14x14’ ) . Perfco Carpet Cleaning Co. charges $0.50/sq for carpet cleaning. What is your charge?
Answer:
Under 800 square feet of carpet to be cleaned: $0.53 per square foot
800 - 1,500 square feet: $0.49 per square foot
Over 1,500 square feet: $0.42 per square foot
Stairs (standard size): $4.16 each stair
Paul bakes loaves of bread and bread rolls in the ratio of 2:5. If he bakes 750 bread rolls, how many loaves will he bake?
Answer:
300 loaves
Step-by-step explanation:
the 5 part of the ratio refers to 750 bread rolls , then
750 ÷ 5 = 150 ← value of 1 part of the ratio , so
2 × 150 = 300 ← number of loaves baked
Please help?
Sw/ati is substituting t = 5 and t = 9 to determine if the two expressions are equivalent.
8 (4t - 3) 32t - 24
Which statement is true?
Both expressions are equivalent to 264 when t = 9.
Both expressions are equivalent to 157 when t = 5.
Both expressions are equivalent to 46 when t = 5.
The expressions are not equivalent.
Answer:
Both expressions are equivalent to 264 when [tex]\displaystyle t = 9.[/tex]
Step-by-step explanation:
All you are doing is substituting 9 for t:
[tex]\displaystyle 8[4(9) - 3]\:32[9] - 24 \\ \\ 264 = 264[/tex]
I am joyous to assist you at any time.
If h(x) represents a parabola whose turning point is at (0, -3) and the function f is defined by
f(x) = h(x + 2) - 5, then what are the coordinates of the turning point off? Explain your reasoning. I’m
let's put h(x) in vertex form, and then let's see if we can get f(x) from there.
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{vertex}{\stackrel{h}{0}~~,~~\stackrel{k}{-3}}\qquad h(x)=a(x-0)^2-3 \\\\[-0.35em] ~\dotfill[/tex]
[tex]h(x+2)=a[(x+2)-0]^2-3\implies h(x+2)=\underline{a(x+2)^2-3} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \underline{h(x+2)}-5\implies [a(x+2)^2-3]~~ - ~~5\implies &\boxed{a(x+2)^2-8=f(x)} \\\\ &a[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-8}=f(x)\\\\ &\stackrel{vertex}{-2~~,~~-8} \end{array}[/tex]
Substitution method of simultaneous equations
3x-4y=7
2x+y=12
Answer: x=5, y = 2
Step-by-step explanation: screenshots
A friend asked Lara to help her divide 456.3 by 100. What should Lara tell her?
Answer:
Dividing 100 by 456.3 would be 4.563. Lara would need to tell her to look at the zeros, and how many places to move. Dividing by 100 is basically moving the numbers 3 places to the right. Hope this helped ☆
Which choices are equivalent to the expression below
Answer:
b and c for future help look up and equivalent calculator
Please help I give u 100 points !
Answer:
1. 4y
2. 16x
3. 8m
4. 4x
5. 14ab
6. 3^3cd ^ stands for to the power of
7. 5 (x+7)
8. 2(4x-7)
9. 15(0.688x-1)
10. 18x(4-y)
11. cannot be factored.
12. 1/3 (x-1)
13. 1/2 (x+1)
14. Sorry I dont Know
15. Sorry I dont Know
Step-by-step explanation: Atleast I solved all and you only have 2 more questions to do Mark Me Brainliest Please ! I Spent A long Time On This
~"Gamer"~
Use a net to find the surface area of the right triangular prism shown:
Answer:
256 ft²
Step-by-step explanation:
Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²
Area of a rectangle = width x length
⇒ area of larger rectangle = 6 x 12 = 72 ft²
⇒ area of smaller rectangle area = 6 x 7 = 42 ft²
⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²
if = 12 cm and m=5 cm what is the length of n?
A 11 cm
B.10 cm
C. 13 cm
D. 14 cm
Answer:
C
Step-by-step explanation:
12^2+5^2=c^2
144+25=c^2
169=c^2
Square root 169 and you get 13
e) Calculate the residuals for your scatterplot in step 2d.
Answer:
I think it's five and ten.
Jim saw that other bank offered the same rates but compounded the interest more often. Consider if he still put $15,000 into a saving account for 5 years that provided 2.8% annually but compounded it in each of the following ways match the following:
Weekly-
Daily-
Continuously-
Monthly-
Semi-annually-
Quarterly-
Answer:
See Picture. I made a 100.
Step-by-step explanation:
Weekly- $17253.46
Daily- $17254.01
Continuously- $17254.11
Monthly- $17251.29
Semi-annually- $17237.36
Quarterly- $17245.69
Compound interest is the addition of interest on the interest of the principal amount.
What is compound interest?Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.
A.) When the interest is charged weekly,
As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46[/tex]
B.) When the interest is charged daily,
As we know that there are 365 days in a year, therefore, n = 365, substitute the values,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55[/tex]
C.) When the interest is charged Continuously,
As we know that the formula for continuous compounding is given as,
[tex]A = Pe^{rt}[/tex]
Substitute the values, we will get,
[tex]A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45[/tex]
D.) When the interest is charged Monthly,
As we know that there are 12 months in a year, therefore, n = 12, substitute the values,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23[/tex]
E.) When the interest is charged Semi-annually,
As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36[/tex]
F.) When the interest is charged Quarterly,
As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7[/tex]
Learn more about Compound Interest:
https://brainly.com/question/25857212
Multiplication or division?
Wayne has a hot dog stand open all summer. On Wednesday, he
used 2/3 a bag of hot dog buns. On Thursday, he used 4/5 as many
hot dog buns. How many bags of hot dog buns did Wayne use on
Thursday?
Answer:
you multiply
Step-by-step explanation:
can you please help me
Answer:
its (420) because (listed below)
Step-by-step explanation:
The traingular is pointing down left and 420 and the angle towards down left. Your welcome!
HAVE A BLESSED DAY AND STAY SAFE (:there was a blizzard. Snow was falling at a rate of 4 1/2 inches per hour. If the snow kept accumulating at the same rate, how long would it take for 5 feet of snow to accumulate?
Answer:
13 1/3 Hours
Step-by-step explanation:
5 feet = 60 inches
4 1/2 inches = 1 hour
60 inches = 1 ÷ 4 1/2 x 60
= 13 1/3 hours
If the snow keeps accumulating, it would take 13 1/3 hours for 5 feet of snow to accumulate.
Please find (fg)(-3)
