number 248682 rounded off to the nearest hundred becomes what
lungimea unei gradini de 78 m iar perimetrul este de 256 m.Afla latimea gradinii
Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cmJuanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm
Answer:
Correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
Step-by-step explanation:
The opposite sides of a parallelogram are equal.
[tex]5n-6=3n-2[/tex]
[tex]2n=4[/tex]
Divide both sides by 2.
[tex]n=2[/tex]
The value of n is 2.
The lengths of two adjacent sides of the parallelogram are
[tex]5n-6=5(2)-6=10-6=4[/tex]
[tex]2n+3=2(2)+3=7[/tex]
Therefore the correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
There were 25 melons at the grocery store. The store sold 3/5 of the melons. How many melons were sold?
Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5
Final answer:
The function f(x)=3(x-4)(x+3) is the only quadratic function provided in the options, as it can be expanded to a second-order polynomial form.
Explanation:
The student asks which of the given functions is quadratic. A quadratic function is a second-order polynomial with the highest exponent of the variable being 2. Given the options, the function f(x)=3(x-4)(x+3) is quadratic because it can be expanded to the form ax2 + bx + c, where a, b, and c are constants. The given function will simplify to a quadratic equation once we expand it. No other provided functions display the characteristics of a quadratic equation; f(x)=52 is a constant, f(x)=2/x is a rational function, and [tex]f(x)=2x^3+3x^2-5[/tex] is a cubic function.
Beulah took out a loan for $1225 at an 11.4% APR, compounded monthly, to buuy a foosball table. If she will make monthly payments of $101.75 to pay off tghe loan, how many total payments will she have to make?
Answer:
13
Step-by-step explanation:
APEX
A regular hexagon has a side of 18 cm, find the area of the regular polygon
6200ft is <>= to 1mi 900ft
This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
19.42 cm
20.28 cm
23.42 cm
32.84 cm
Answer:
The perimeter of the figure is [tex]23.42\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]
Step 1
Find the perimeter of rectangle
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
In this problem we have
[tex]L=6\ cm[/tex]
[tex]W=4\ cm[/tex]
substitute
[tex]P=2(6+4)=20\ cm[/tex]
Step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]C=3\pi\ cm[/tex]
Step 3
Find the perimeter of the figure
[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]
What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.
Answer: [tex]\text{Area}=72\ inches^2[/tex]
Step-by-step explanation:
By the given description of trapezoid we get,
The height of the trapezoid h= 6 inches
The base of triangle = 4 inches
The base of rectangle (a)= 8 inches
The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle
The bottom base of the trapezoid (b)= [tex]2(4)+8=8+8=16\ inches[/tex]
The area of trapezoid is given by :-
[tex]\text{Area}=\frac{1}{2}(a+b)h\\\\\Rightarrow\text{Area}=\frac{1}{2}(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2[/tex]
Answer:
72
Step-by-step explanation:
cx+5c=7c solve for x assume c doesn't equal 0
Simplify 3a • 3b ÷ 3c ÷ 3d. The exponent on 3 is _____.
The correct answer is 2.
To simplify the expression 3a • 3b ÷ 3c ÷ 3d, we need to apply the laws of exponents and combine the coefficients and variables.
Given expression: [tex]3a \cdot 3b \div 3c \div 3d[/tex]
[tex]\text{Step 1: Rewrite the expression using exponents}[/tex]
[tex](3^1 \cdot a) \cdot (3^1 \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 2: Apply the laws of exponents for multiplication and division}[/tex]
[tex](3^1 \cdot 3^1 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^{1 + 1} \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 3: Simplify the expression by combining the exponents and coefficients}[/tex]
[tex](3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^{1 + 1} \cdot c \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^2 \cdot c \cdot d)[/tex]
[tex]= \frac{a \cdot b}{c \cdot d}[/tex]
Therefore, the simplified expression is [tex]\frac{a \cdot b}{c \cdot d}[/tex], and the exponent on 3 is 2.
subtracting unlike fractions 8/9 - 5/6
The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units
Plz help
Answer:
Option 3 - V = 62.50 cubic units.
Step-by-step explanation:
Given : The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: [tex]V=4s^3[/tex] If s = 2.5 units.
To find : What is the value of V ?
Solution :
The equation of the total volume is
[tex]V=4s^3[/tex]
Substitute, s=2.5 units
[tex]V=4(2.5)^3[/tex]
[tex]V=4\times 15.625[/tex]
[tex]V=62.5[/tex]
Therefore, Option 3 is correct.
The value of V is 62.50 cubic units.
How many square feet of outdoor carpet will we need for this hole?
Answer:
44 square feet
Step-by-step explanation:
We are given a rectangle of dimension 12ft×4ft and a square of dimension 2ft×2ft.
Then, the required outdoor carpet will be:
Outdoor carpet required=Area of the outer hole that is the rectangle - Area of the inner hole that is the square
=[tex](length)(breadth)-(side)^{2}[/tex]
=[tex](12)(4)-2^{2}[/tex]
=[tex]48-4[/tex]
=[tex]44[/tex] square feet.
Is 90 g less than, greater than, or equal 9kg
Find an explicit rule for the nth term of the sequence.
-5, -25, -125, -625, ...
Answer Choices
A) an = -5 • 5n
B) an = 5 • -5n + 1
C) an = 5 • -5n
D) an = -5 • 5n - 1
Final answer:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ that is option A is correct.
Explanation:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ
To find this rule, we notice that each term is 5 times the previous term but negative. So, the nth term can be represented as an = -5 * 5^(n-1), which simplifies to an = -5 * 5ⁿ.
Therefore, the correct answer choice is A) an = -5 * 5ⁿ.
Last question pls help!
A rectangle has a side of 12 inches and another side of 6 inches...
whats the perimeter? whats the area? what would be the area and permieter combined?
James gets headaches. the time between one headache and the next is an exponential random variable. he has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. james has not had a headache in 5 days. what is the probability that he will go for at least 5 more days before the next headache?
Movie A took in $142.44 million on it’s first weekend. This topped the previous opening weekend revenue set by movie B by $4.14 million. How much did movie B take in on its opening weekend?
How many lateral faces does a pentagonal prism have? Explain its actually 8 for anyone who needs this in the future
A pentagonal prism has five lateral faces.
A pentagonal prism is a three-dimensional geometric figure with two parallel pentagonal bases and rectangular lateral faces. To determine the number of lateral faces:
(1) Visualize the pentagonal bases; a pentagon has five sides.
(2) Each side of the pentagon is perpendicular to a corresponding rectangle, forming a lateral face.
So, a pentagonal prism has five lateral faces, matching the number of sides of its base pentagon.
An octahedron, a completely different shape, has eight triangular faces, not to be confused with the prism.
Which is the correct way to write three and one-tenth of a milliliter as an Arabic number?
What is another name for an indirect proof? Picture included
meg runs 1 1/2 miles and walks 2 1/4 miles each day of the week. how far does meg run and walk in al each week? explain. remember, you can write an equivalent fraction fir 1 1/2
Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T.
Part B: Describe the association between students' test scores and the number of hours they exercise.
To the model estimated in table 8.1, add the interaction term, e401k · inc. estimate the equation by ols and obtain the usual and robust standard errors. what do you conclude about the statistical significance of the interaction term?
You paid $80 for a tennis racket. If you found the racket under a sign stating 1/4 off, what must the original retail price have been?
Yesterday, the price of a gallon of gas at five gas stations was $3.64, $3.79, $3.70, $4.01, and $3.91, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. $3.81
B. $3.89
C. $3.73
D. $3.97
PLEASE BE CORRECT.
Option: B is the correct answer.
B. $ 3.89
Step-by-step explanation:The price of a gallon of gas at five gas stations is given by:
$3.64, $3.79, $3.70, $4.01, and $3.91
The mean of these data values is given by:
[tex]Mean=\dfrac{3.64+3.79+3.70+4.01+3.91}{5}\\\\\\Mean=\dfrac{19.05}{5}\\\\\\Mean=3.81[/tex]
We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.
As we are given that each gas station raised its price by $0.08.
This means that the mean is also increased by $ 0.08
i.e. Today's mean price of a gallon of gas at the five station is given by:
[tex]Mean=3.81+0.08\\\\\\Mean=3.89[/tex]
Hence today's mean is:
$ 3.89
Carson wants to put her 232 stickers into a book that has 36 Pages if she puts 8 stickers on each page how many pages will be blank
need help plz I need this by today because it's due Tomorrow