Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and all angles equal C. a combination of a rectangle and a trapezoid D. a 4-sided polygon with all angles equal
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Final answer:
To solve the complex expression involving negative numbers, the order of operations must be followed, dealing with the innermost brackets first and proceeding outward to determine the final answer is 1.
Explanation:
The expression given by the student is a mathematical expression involving negative numbers and the order of operations. To solve the expression (−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}, we need to follow the order of operations, also known as PEMDAS or BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Start by solving the innermost brackets: (−7) + (−3) – (−8) = −10 – (−8) = −2.Next, address the curly brackets by subtracting the result from step 1 from (−5): (−5) – (−2) = −3.Finally, solve the outermost expression by subtracting (−2) from (−4) and then subtracting the result of step 2: (−4) − (−2) – (−3) = −2 – (−3) = 1.Therefore, the final answer to the expression is 1.
A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have
A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?
what are the roots of the equation?
x^2+24=14x
enter answers in the boxes
Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)
Point E is located at (2, −3) and point F is located at (−2, −1). Find the y value for the point that is 3 over 4 the distance from point E to point F.
A. -2.5
B. -4.5
C. -3.5
D. -1.5
A square pyramid has a base length of 6 inches and a height of 8 inches. What is the volume of this pyramid? Enter your answer in the box. in³
Final answer:
The volume of the square pyramid with a base length of 6 inches and a height of 8 inches is 96 cubic inches.
Explanation:
To find the volume of a square pyramid, you can use the formula V = (1/3) × base area × height, where the base area is the area of the square base. Since the base length is 6 inches, the area of the base is 6 in. × 6 in. = 36 in.². The height of the pyramid is 8 inches. So, the volume of the pyramid can be calculated as follows:
V = (1/3) × 36 in.² × 8 in. = 96 in.³
Therefore, the volume of the square pyramid is 96 cubic inches.
How many extraneous solutions does the equation below have? 9 over n squared +1 =n+3 over 4? 0 1 2 3
Answer:
Option 1 - There is no extraneous solution i.e. 0.
Step-by-step explanation:
Given : Expression [tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
To find : How many extraneous solutions does the equation have ?
Solution :
First we solve to expression to determine the extraneous solution,
[tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
Cross multiply,
[tex]9\times 4=(n+3)(n^2+1)[/tex]
[tex]36=n^3+n+3n^2+3[/tex]
[tex]n^3+3n^2+n-33=0[/tex]
An extraneous solution is defined as a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
The equation form is a cubic function so it has 3 solutions.
Therefore, There is no extraneous solution.
What is 2/7 = 2x what would be the answer
Ella used 1/4 yard of red ribbon. Fill in each box with a number from the list to show equivalent fractions for 1/4
Answer:
To find fractions equivalent to a given fraction, the process of amplifying the numerator and the denominator of that fraction must be performed. Specifically, each element is amplified by multiplying it by a positive integer. Thus, fractions equivalent to 1/4 are:
(1x2) / (4x2) = 2/8
(1x3) / (4x3) = 3/12
(1x4) / (4x4) = 4/16
(1x5) / (4x5) = 5/20
(1x6) / (4x6) = 6/24 ... Successively.
Step-by-step explanation:
The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder?
Who topping covers more of the pizza 2/8 or 5/8
if a + b = -5 and x + y = -5, what is 6y + 6x - b - a
Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?
A. 18
B. 30
C. 31
D. 48
Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.
To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.
Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.
First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:
a(x) = (x + 5) x (x + 3)
Now we will expand this to write it in standard form:
a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15
Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.
Find the value of side A on the right triangle, given that side B = 12 cm and side C = 15 cm
8 students can ride in each van. How many vans are needed for 29 students?
There is the need for 4 vans.
To determine how many vans are needed for 29 students, with each van able to transport 8 students, we can use division and then round up, since you can't have a fraction of a van. We divide 29 students by 8 students per van, which gives us 3.625. Since we can't have 0.625 of a van, we need to round up to the next whole number to ensure all students have a seat. That means we need 4 vans to transport 29 students.
Divide the total number of students by the number of students each van can hold: 29 / 8 = 3.625.
Round this number up to the nearest whole number, because you need whole vans: This gives us 4.
Thus, you need 4 vans to transport 29 students.
There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?
PLEASE HELP WILL GIVE BRAINLIEST!!! What is the y-intercept of f(x)=(1/2)^x
Try this explanation:
'y-interception' means x=0.
If x=0, then y=1.
answer: (0;1)
plez help What is the value of y in the equation 4 + y = −3?
7
1
−1
−7
Which of these distance measures would you most likely find on a walking tour map of downtown Paris, using the metric system?
A. Kilo feet
B. Millimeters
C. Centimeters
D. Meters
Answer:meters
Step-by-step explanation:
Draw a number line and show all numbers that are between 1 and 20 and have exactly 4 factors
(or visualize, make it somewhat close to being a number line)
(work with a number line all positives, 1 being smallest, 20 being biggest.
Numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15 represented on number line.
Define factor ?
" In mathematics factor is a number by which when we divides another number remainder is zero."
According to the question,
Factors of all the numbers between 1 and 20
2, 3, 5, 7, 11, 13, 17, 19 are prime number , so they have only two factors.
4 = 1, 2, 4
6 = 1, 2, 3, 6
8 = 1, 2, 4, 8
9 = 1, 3, 9
10 = 1, 2, 5, 10
12 = 1, 2, 3, 4, 6, 12
14 = 1, 2, 7, 14
15 = 1, 3, 5, 15
16 = 1, 2, 4, 8, 16
18 = 1, 2, 3, 6, 9, 18
Hence, we conclude that numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15.
Learn more about factors here
https://brainly.com/question/24182713
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what is one fourth of 7?
How many ways are there to pick 8 balls from large piles of (identical) red, white, and blue balls plus 1 pink ball, 1 lavender ball, and 1 tan ball?
Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40
Tom weighs 168.5 pounds. His son weighs 33.7 pounds. How many times as much as his son does Tom weigh
Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?
Answer:
35 years
Step-by-step explanation:
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
3*10=30,
30+5=35
what statement about this figure is true-- i know its one of the last two but they both seem right to me
In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.