Answer:
12 feet
Step-by-step explanation:
w = width
w+2 = length
w(w+2) = 8
w² + 2w - 8 = 0
(w+4)(w-2) = 0
w = -4 exclude because a length cannot be negative
w = 2
length = 2+2 or 4
P = 2(2)+2(4)
P = 4+8 or 12
the length of a rectangle is 52 cm and its perimeter is 200 cm.what is the area of the rectangle
Answer:
2496 cm sq.
Step-by-step explanation:
Length equals 52cm and Perimeter is 200cm.
Area = Length x Breadth (or Width).
To find the area we have to first find the breadth.
2 x (Length + Breadth) = Perimeter.
Substituting what's given in the question, we get:-
2 x ( 52 + Breadth) = 200
52 + Breadth = [tex]\frac{200}{2}[/tex]
52 + Breadth = 100
Breadth = 100 - 52
Breadth = 48cm.
So, Area equals-------->
Length x Breadth
= 52 x 48
Area = 2496 cm sq.
Which expression is equivalent to expression shown?
Answer:
3⁷ × 1/3⁴
Step-by-step explanation:
3⁷ × 3¯⁴
The above expression can be simplified as follow:
3⁷ × 3¯⁴
Recall,
a¯ⁿ = 1/aⁿ
Thus,
3¯⁴ = 1/3⁴
Therefore,
3⁷ × 3¯⁴ = 3⁷ × 1/3⁴
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
Learn more about cube here: https://brainly.com/question/21270685
#Tag#SPJ2
If you add Natalie’s age and Fred’s age, the result is 41. If you add Fred’s age to 3 times Natalie’s age, the result is 67. Find how old Fred and Natalie are.
Answer:
Natalie is 13 years old, while Fred is 28 years old.
Step-by-step explanation:
Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:
N + F = 41
3N + F = 67
(67 - 41) / 2 = N
26/2 = N
13 = N
13 x 3 + F = 67
39 + F = 67
F = 67 - 39
F = 28
28 + 13 = 41
Therefore, Natalie is 13 years old, while Fred is 28 years old.
Helloooo help me out thanks youuuuuu
Answer:
C. 162.5 sq ft.
Step-by-step explanation:
Given the following data;
S.A of smaller cylinder, S1 = 65 ft²
Ratio = 2:5 = 2 + 5 = 7
Let the total surface area be x.
S1 = 2/7 * x = 65
S1 = 2x = 65 * 7
S1 = 2x = 455
x = 455/2
x = 227.5 ft²
To find the surface area of the larger cylinder;
S2 = 5/7 * 227.5
S2 = 1137.5/7
S2 = 162.5 ft²
An online vendor requires that customers select a password that is a sequence of upper-case letters, lower-case letters and digits. A valid password must be at least 10 characters long, and it must contain at least one character from each of the three sets of characters. What is the probability that a randomly selected string with exactly ten characters results in a valid password
Answer:
0.0283642
Step-by-step explanation:
Number of uppercase letters = 26
Number of lowercas = 26 alphabets = 10
Number of password characters = 10
Hence total number of passwords with exactly 10 characters (26 + 26 + 10) ^10 = 62^10 = 839299365868340224 passwords
Password with 10 strings, and having atleast one upper, lower and digit character :
26^1 * 26^1 * 10^1 * (26+26+10)^7 = 23806114737966080 (1 upper, lower and digit character, the remaining 7 could be any of them)
Probability = required outcome / Total possible outcomes
P(password with atleast 1 upper, lower and digit character) = 23806114737966080 / 839299365868340224
= 0.0283642
11. Explain how to evaluate the expression 9 +(45 x 2) = 10.
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
Calculate the P-value for the given scenario. Use 4 decimal places.:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one
of its competitors, which is $68,000. A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the
population standard deviation is $5500 and the population is normally distributed.
Answer:
The p-value is 0.1867.
Step-by-step explanation:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one of its competitors, which is $68,000.
At the null hypothesis we test that the salary is the same of the competitor, that is:
[tex]H_0: \mu = 68000[/tex]
At the alternate hypothesis, we test that it is more than 68000. So
[tex]H_a: \mu > 68000[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
68000 is tested at the null hypothesis:
This means that [tex]\mu = 68000[/tex]
A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the population standard deviation is $5500.
This means that [tex]n = 20, X = 66900, \sigma = 5500[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{66900 - 68000}{\frac{5500}{\sqrt{20}}}[/tex]
[tex]z = -0.89[/tex]
P-value:
The pvalue is the probability of finding a sample mean below 66900, which is the pvalue of z = -0.89.
Looking at the z-table, z = -0.89 has a pvalue of 0.1867.
The p-value is 0.1867.
I will give you Brainiest if you are right.
Answer:
Students 1 & 4
Step-by-step explanation:
An expression has NO equal sign, EQUATIONS have equals.
2 & 3 have equals which makes then equations.
~R3V0
Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles
Answer: 290 miles
Step-by-step explanation:
Given
Allison drove with a speed of 58 mph
Austin drove with a speed of 40 mph
If both start at the same time
suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles
[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]
Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]
apply the Pythagorean theorem to find the distance between two points (to the nearest tenth). which statements are correct
Answer:
options pls. or any image.......................................
The distance between two points is √29 unit.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have the points (-2, 3) and (3, 1).
Using Distance formula
= √(1-3)² + (3 - (-2))²
= √ (-2)² + (5)²
= √ 4 + 25
= √29 unit
Thus, the distance between two points is √29 unit.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ3
there is a picture. please help!!!!
Answer:
the answer should be B becaise just multiply and then round up that is what I got good luck
Please look at the image
Answer:
[tex]n \leqslant 4[/tex]
Step-by-step explanation:
[tex] - 3n - 5 \geqslant - 17[/tex]
[tex] - 3n \geqslant - 12[/tex]
[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]
[tex]n \leqslant 4[/tex]
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
Which ordered pair is in the solution set of 0.5x - 2y ≥ 3?
Answer:
C
Step-by-step explanation:
The answer is c because when 2, -1 is plugged into the equation, you get
.5(2) - 2(-1) >/= 3
when solved -
1 + 2 >/= 3 -
3 >/= 3
and this is in the solution set because three is equal than or greater to three
Write the equation in slope-intercept form:
3y = 2x +15
Answer:
y = 2/3x + 5
Step-by-step explanation:
Hope this helps! :)
CAN SOMEONE HELP ME WITH THIS 25 POINTS TY :)
Answer:
Hello!
Here are the coordinates and a picture example!
Original coordinates: -3, -5
New coordinates: 3, -5
Hope that helps!
Dajuan is painting a mural on a rectangular
wall. The wall is 14.5 feet long and 10 feet
wide. So far, his mural covers 60% of the wall.
Dajuan will paint the remaining part of the wall
over the next four days. He will paint the same
amount of the wall, in square feet, on each of
those four days. How much of the wall, in
square feet, will Dajuan paint on each of the
next four days? Explain how you arrived at
your answer.
Answer:
Every day Dajuan will paint 14.5 square feet of the wall.
Step-by-step explanation:
Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:
((14.5 x 10) x 0.4) / 4 = X
(145 x 0.4) / 4 = X
58/4 = X
14.5 = X
Therefore, every day Dajuan will paint 14.5 square feet of the wall.
A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answer:
56 hardwood 80 pine bark
Step-by-step explanation:
H = hardwood B= pine bark
B +H = 136
B = (136-H)
4.25 H + 3.75 (136-H) = 538
4.25H + 510 - 3.75H = 538
0.5 H = 28
1H = 56 (56 Hardwood)
136-56= 80
56x 4.25 + 80 x 3.75 = 538
$238 + $300 = $538
Find the volume of the cone
12 cm
5 cm
V = [?] cm
Round to the nearest tenth.
Enter
Answer:
314.2 cm³
Step-by-step explanation:
Volume of a cone [tex] = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
The volume of the cone
[tex] = \frac{1}{3} \times \pi \times {5}^{2} \times 12[/tex]
[tex]= 314.15926...[/tex]
= 314.2 cm³ (rounded to the nearest tenth)
Answer: 314
Step-by-step explanation:
A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area of the box? 1,326 cm 2 92 cm 2 5,940 cm 2 663 cm 2
The surface area of the figure will be equal to 1326 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
A box has a length of 15 centimetres, a width of 22 centimetres, and a height of 9 centimetres.The surface area will be calculated as:
SA = 2 { LW + LH + WH )
SA = 2 { ( 9 x 12) + (15 x 22 ) + (15 x 9 )}
SA = 1326 square meters.
Therefore the surface area of the figure will be equal to 1326 square meters.
To know more about a surface area follow
https://brainly.com/question/25292087
#SPJ2
given that set C is the negative integers greater than -7, which element of set C are less than or qual to -3? (enter your answer as a comma-separated list
9514 1404 393
Answer:
-6, -5, -4, -3
Step-by-step explanation:
Integers greater than -7 include ... -6, -5, -4, ....
Integers less than or equal to -3 include ... -3, -4, -5, ....
The set of integers in the range -7 < n ≤ -3 is ...
{-6, -5, -4, -3}
Need help please right answers
Answer:
B
Step-by-step explanation:
y-intercept is where x is zero, so we must look at where the y-iterceot is crossed
please answer this for me
Answer:
A
Step-by-step explanation:
Which statement correctly compares the two functions on the interval [-1,2]?
Answer:
Option A.
Step-by-step explanation:
Function f:
For x between -1 and 2, the values of f(x) increase, which means that f(x) is increasing.
Function g:
[tex]g(x) = -18(\frac{1}{3})^x + 2[/tex]
Between -1 and 2:
[tex]g(-1) = -18(\frac{1}{3})^{-1} + 2 = -18*3 + 2 = -54 + 2 = -52[/tex]
[tex]g(0) = -18(\frac{1}{3})^{0} + 2 = -18*1 + 2 = -18 + 2 = -16[/tex]
[tex]g(1) = -18(\frac{1}{3})^{1} + 2 = -18*\frac{1}{3} + 2 = -6 + 2 = -4[/tex]
[tex]g(2) = -18(\frac{1}{3})^{2} + 2 = -18*\frac{1}{9} + 2 = -2 + 2 = 0[/tex]
Both are increasing.
However, g starts with a lower value, and finishes with a higher value, which means that function g increases at a faster average rate, and the correct answer is given by option A.
The quantity y varies directly with the square of x. If y=24 when x=3, find y when x is 4
Answer:
[tex]y = \frac{384}{9}[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ x^2[/tex] --- direct variation
[tex](x,y) = (3,24)[/tex]
Required
y when x = 4
[tex]y\ \alpha\ x^2[/tex]
Express as an equation
[tex]y = kx^2[/tex]
Substitute: [tex](x,y) = (3,24)[/tex]
[tex]24 = k*3^2[/tex]
[tex]24 = k*9[/tex]
Solve for k
[tex]k = \frac{24}{9}[/tex]
To solve for y when x = 4, we have:
[tex]y = kx^2[/tex]
[tex]y = \frac{24}{9} * 4^2[/tex]
[tex]y = \frac{24}{9} * 16[/tex]
[tex]y = \frac{24 * 16}{9}[/tex]
[tex]y = \frac{384}{9}[/tex]
Can you pls help me fast
PLZ HELP NO BAD ANSWERS!!
Multiple Choice
3.75 is the correct answer
In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75
Rewrite all three fractions with the lowest common denominator.
Answer:
[tex] - \frac{2}{4 } = - \frac{16}{32} [/tex]
[tex] - \frac{6}{8} = - \frac{24}{32} [/tex]
[tex] - \frac{13}{32} = [/tex]
remains the same
A bakery offers a sale price of $2.80 for 3 muffins. What is the price per dozen?
Answer: 11.2$
Step-by-step explanation: