If an atom loses a neutron, what happens to the overall electric charge
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?
Simplify. (4x4 + 7x2 + 6x) - (x3 - 7x + 10)
A) 4x4 + 6x -10
B) 3x3 + 6x + 10
C) 3x7 +14x3 - 4x
D) 4x4 - x3 + 7x2 + 13x - 10
identify the type for each quadrilateral
1. Quadrilateral 5: Square (4 equal sides, 4 right angles)
2. Quadrilateral 8: Parallelogram (2 sets of parallel sides, opposite sides not equal)
3. Quadrilateral 11: Trapezoid (1 set of parallel sides, opposite sides not equal, no right angles)
The image shows three quadrilaterals, each labelled with a number:
1. Quadrilateral 5: This shape has four equal sides and four right angles. Therefore, it is a square.
2. Quadrilateral 8: This shape has two sets of parallel sides, but its opposite sides are not equal in length. It also does not have four right angles. Therefore, it is a parallelogram.
3. Quadrilateral 11: This shape has only one pair of parallel sides. Its opposite sides are not equal in length, and it does not have four right angles. Therefore, it is a trapezoid.
Jay made a name tag that was 15.24 centimeters long. What is the length of the tag in millimeters?
Eddie has m muffins. He splits them evenly among 9 boxes. Write an expression that shows how many muffins are in each box.
To find out how many muffins are in each box, divide the total number of muffins by the number of boxes. There would be 5 muffins in each box if Eddie has a total of 45 muffins.
Explanation:To write an expression that shows how many muffins are in each box, we can divide the total number of muffins by the number of boxes. Let's call the total number of muffins 'm' and the number of boxes '9'. The expression would be:
m ÷ 9
For example, if Eddie has 45 muffins, substituting 'm' with 45 in the expression would give us:
45 ÷ 9 = 5
Therefore, there would be 5 muffins in each box if Eddie has a total of 45 muffins.
Yvonne purchased a jacket at Right Price, and the lowest price on the tag was $4. This was the sale price, which was calculated by taking 75% off of the original price. What was the original price of Yvonne's jacket?
A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.
Answer:
17pi/2= R* 17pi/90
R=45
A=45^2 * pi
A=90 pi or 282.6
Step-by-step explanation:
This figure is made up of a quadrilateral and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round your answer to the nearest tenth.
A.) 22.8 units²
B.) 40.4 units²
C.) 45.5 units²
D.) 74.5 units²
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of AB is
[tex]AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}[/tex]
The length of AD is
[tex]AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
Since AB=AD, therefore ABCD is a square. The area of the of square is
[tex]A_1=a\times a=\sqrt{29}\times \sqrt{29} =29[/tex]
The area of square is 29 units².
The area of a semicircle is
[tex]A_2=\frac{\pi}{2}r^2[/tex]
Since AB is the diameter of the semicircle, therefore the radius of the semicircle is
[tex]r=\frac{d}{2}=\frac{\sqrt{29}}{2}[/tex]
The area of the semicircle is
[tex]A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825[/tex]
The area of the figure is
[tex]A=A_1+A_2=29+11.2825=40.3825\approx 40.4[/tex]
Therefore the area of the figure is 40.4 units². Option B is correct.
Given a triangle with vertices U(6, −1), W(0, −5), and X(4, −9), and Y is the midpoint of segment UW and Z is the midpoint of segment WX comma what is the length of YZ?
Here we have to use the distance formula
Please see the image attached with the solution , for the figure
Firstly we have to find the length of line segment XU
and the triangle has a property that the length of line segment that connects the midpoint of the two sides is half the length of the third side.
It means here
Length of YZ = half the length of XU
So lets find the length of XU
[tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(6-4)^2 +(-1+9)^2} =\sqrt{4+64} [/tex]
[tex] =\sqrt{68} [/tex]
[tex] =2\sqrt{17} [/tex]
Now the length of YZ = half of [tex] =2\sqrt{17} [/tex]
So length of YZ = [tex] =\sqrt{17} [/tex]
The picture frames shown are both squares. The area of the smaller frame is 1/4 the area of the larger frame. Find the side length of the larger frame.
The side length of the larger frame will be 12 inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that the area of the smaller frame is 36 square inches and the area of the smaller frame is 1/4 times the area of the larger frame.
The area of the larger frame will be calculated as:-
1/ 4 x Area of larger frame = Area of the smaller frame
Area of the larger frame = 36 x 4
Area of the larger frame = 144 square inches
a² = 144
a = √144
a = 12 inches
Therefore, the length of the larger frame is 12 inches.
To know more about an area follow
https://brainly.com/question/25092270
#SPJ2
The equation y = x + 1 defines the relationship between x and y, where x is the input and y is the output. Which statements about the graph of this relationship are true? Select two that apply.
A.The graph is a curved line.
B.The graph is a straight line.
C.the graph is a vertical line.
D.The graph represents a function.
E.The graph has no negative outputs.
F.The graph passes through the origin.
HELP ASAP PLEASE WILL GIVE BRAINIEST
Which of the following should be used to show relationships, organize information, and solve problems?
box-and-whisker plots
bar graphs
pictographs
Venn diagrams
Answer:
Venn Diagrams
Step-by-step explanation:
Venn diagram: a diagram that uses circles and a rectangle to show the relationships that exist between different sets
Venn diagrams are used to organize information and solve problems.
What is the value of −6a−3b2 for a = −2 and b = 4?
A. 768
B. 12
C. −12
D. −768
The side lengths of two different cubes are 35 cm and 42 cm. What is the ratio of the volume of the smaller to the volumes of the larger?
what is the slope of a line that is perpendicular to the line that passes through (1,0) and is parallel to y=3x+5
A finance company offers a 36-month installment loan with an APR of 10.5%. Jerry wishes to use the loan to finance an engagement ring for $21,500. After first using Table 13-1 to find the finance charge, calculate the monthly payment.
Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west?
What is the area of this trapezoid? 50 in² 108 in² 126 in² 192 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 2 inches, F E is 12 inches, E C is 2 inches, A B is 12 inches., and E B is 9 inches.
Answer: 126 square inches
Explanation:
Trapezoid is a quadrilateral , shape with straight sides that has a pair of opposite sides parallel.
I already attached the image of trpazoid.
Now find the area of trapazoid.
We have a formula to find the area of trapezoid.
Area of trapezoid = [tex] \frac{a + b}{2} h [/tex]
where a & b are the parallel side ( here "a" represent the upper side and "b" represent the base)
h is the height of the trapezoid (always remember heigth is the perpendicular distance)
now a = 12 inches (AB)
b = 2 + 12 + 2 (CD = CE + EF + FD) = 16 inches
h = 9 (BE)
Now put all these values in the given formula
Area of trapezoid = [tex] \frac{12 + 16}{2} (9) [/tex]
= [tex] \frac{28*9}{2} [/tex]
= 14*9
Are of trapezoid = 126 sq in (3rd option is correct)
What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°
Reiki has 3/4 of a gallon of milk. She drinks one-third of the milk. How much milk does she drink?
There are 16 students in the school play. One fourth of the students are wearing yellow costumes. Six students are wearing purple costumes. The remaining students are wearing orange costumes. How many students wearing orange costumes?
If there are 500 marbles in the bag, how many are most likely green?
What’s the answer for this question?
Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?
True or false? The decimal number 25.33 is an example of a terminating decimal
Answer:
True
Step-by-step explanation:
we know that
A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits
so
In this problem
The number [tex]25.33[/tex] is a decimal with a finite number of digits
therefore
The answer is True
Answer:
the answer is true :D
Step-by-step explanation:
Three different rectangles have an area of 20. What are the possible whole-number dimensions of the rectangles?
a rectangular prism has a length of 15 1/4 centimeters, a width of 8 centimeters, and a height of 2 1/4 centimeters. Enter the volume of the prism as a mixed number in simplest form in the box.
A toy car designer measures the length of the actual car shown. A toy car is 0.05 times as long as the actual car. How long is the toy car?
If you answer you get 50 POINTS!
To find the length of the toy car, multiply the length of the actual car by 0.05.
Explanation:The question is presenting a mathematical problem concerning proportions. In this scenario, a toy car is designed to be 0.05 times the size of the actual car. To find the length of the toy car, you should multiply the length of the actual car by 0.05. For instance, if the actual car is 5 meters long, the toy car would be 0.05 * 5 = 0.25 meters long.
Learn more about Proportions here:https://brainly.com/question/34018947
#SPJ2