Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, has a choice of one of seven diffrent toppings (extra cheese, pepperoni, sausage, beef, green pepper, onion, mushroom) and can have three different choices of crust (thin, regular, pan). How many different pizzas could Sarah order? Question solved general 11 months ago 8350
PROMPTEiffel Tower: Francesca wants to glue this 4-inch by 6-inch photo on top of a mat that will increase the length of each side by another x inches. Find an expression representing the area of the mat, and use this expression to find the area and cost of the mat for different values of x.YOUR ASSIGNMENTChoosing a PhotoFrancesca wants to give one of her photographs to a friend as a gift. Help her choose the photograph and determine the style and size of the mat she can afford.1. Describe the design and original dimensions of the photo you chose for Francesca to give as a gift. (2 points: 1 point for describing the photo and 1 point for including the dimensions)Photo description: Dimensions (including units): Finding the Total Area of the Photo and Mat2. Francesca wants to glue her photo on top of a mat that will increase the length of each side. The mat border has a width of x, so the length of each side would increase by 2x inches.Represent the length and width of the mat with an expression. (2 points)Length:Width:3. The area of the mat is the product of the length and width. Write an expression for area as the product of two binomials. Do not multiply. (1 point)Area:4. Find the polynomial expression that represents the area of the mat, using the FOIL method to multiply the two binomials. Show your work. (3 points)Polynomial expression:Determining the Cost of the Mat5. What units would you expect to use for this area? Why? (2 points)6. To verify your polynomial expression, multiply the factors from Question 3 using the distributive property. Show your work below. (2 points)Multiply factors using the distribution method:7. Write your polynomial expression representing the total area of the mat in the top of the right table column below. Then evaluate the expression to find the total areas when the mat extends 1 or 2 inches beyond the picture on each side. Don't forget to add units. (2 points: 1 point for each mat area) x 1.0 in 2.0 in 8. If a white mat costs $0.03 per square inch and a black mat costs $0.05 per square inch, determine the cost of each size of black and white mat. To get started, copy your previous calculations for the total areas of the mats into the first column of the table below. (4 points: 2 points for the costs of the white mats and 2 points for the costs of the black mats) x Total area of mat Cost of white mat Cost of black mat 1.0 in 2.0 in 9. Select the size and color of the mat you think Francesca should use for the photograph. Identify the cost and why you selected this mat. Question solved general 11 months ago 4328
Write the number of permutations in factorial form. Then simplify. J K L M N O P A.7!; 720 B.7!; 49 C.7!; 5,040 D.8!: 40,320 Question solved general 11 months ago 4584
What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250? A) 9 units B) 12 units C) 15 units D) 18 units Question solved general 11 months ago 7343
Greer created a sequence that begins with the number 5. Each term after the first is 4.1 times the amount of the preceding term. Which formula should Greer use to find the sum of the first 23 terms of her sequence?A.) 23(90.2+5) / 2B.) 4.1(90.2+5) / 2C.) 5(1-4.1^23) / 1-4.1D.) 4.1(1-5^23) / 1-5 Question solved general 11 months ago 6635
B is the midpoint of AC and d is the midpoint of ce BD = 3x, and AE = 60. Find the length of AB if AC = 5x + 10. 60 30 20 10 Question solved general 11 months ago 3241
What is the relative frequency of male passengers?Round to the nearest hundredth, if needed.A. 0.15B. 0.27C. 0.43D. 0.75 Question solved general 11 months ago 9593
The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = (x – h)2 is solid. Use the slider to change the value of h. How does changing the value of h affect the vertex? If h = 3, the vertex shifts to . If h = –5, the vertex shifts to Question solved general 11 months ago 5588
A bank account starts with $100 and earns 4% interest annually. How much money will be in the account after 12 years assuming no transactions have occurred. Round to the nearest cent. Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months. How much will Jim owe the bank after 4 years? Round to the nearest cent? Question solved general 11 months ago 9404
The list shows the number of songs on each album Dakota has downloaded. 15, 9, 8, 34, 18, 10, 14, 12, 8, 20, 22, 16, 32, 28, 4, 45, 15, 10, 71. Create a frequency table to represent the data.2. Create a stem-and-leaf plot to represent the data.3. Create a histogram to represent the data.4. Compare and contrast the histogram to each of the other two representations. What are their similarities and differences?5. How are the number of leaves, the frequencies in the frequency table and the height of the bars in the histogram related? What impact does the choice of intervals make on this relationship?HELP PLease!!! Question solved general 11 months ago 6141
A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number. Use the large 14 x 7 cm rectangles on the top and bottom as the bases.35cm^2; 364cm^270cm^2; 364cm^235cm^2; 266cm^270cm^2; 266cm^2 Question solved general 11 months ago 7152
Which of the following is an example of conditional probability?A.) probability of hitting a home run, given that you didn't strike out B.) probability of getting an A on a test C.) probability of drawing a club from a deck of 52 cardsD.) probability of hitting a home run Question solved general 11 months ago 6664
Find the probability of selecting a z score greater than –0.95.A. 0.1711B. 0.8289C. 0.5199D. 1.6450 Question solved general 11 months ago 4468
Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of Q, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree. 34° 41° 51° 56° Question solved general 11 months ago 2934
the swimming pool at the right is being filled with water.Find the number of cubic feet that it will take to fill the swimming pool Question solved general 11 months ago 9995
Find the surface area of an orange with a 3'' radius. 24 sq. in. 36 sq. in. 144 sq. in. Question solved general 11 months ago 4975
An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane? Question solved general 11 months ago 5582