Basic Math Questions and Answers

A baseball player hits a ball with an initial velocity of 130 feet/sec at an angle of 28 degrees to the horizontal at a height of 3.5 feet. What is the maximum height that the ball reaches? Round to the nearest foot.

Joey has a square piece of paper with edges that are 8 inches long. He cuts the paper along a diagonal to make two congruent triangles. Which measurement is closest to the length, in inches, of the hypotenuse of each triangle? 8 11.3 16 13.9

Andre sells electronic items such as digital music players and cell phones. He is paid $15/h plus 5% commission on sales. Which expression represents Andre's total earnings? (Let t represent time in hours, and s represent sales) Total earnings = 0.05t +15s Total earnings = 15t+ 0.05s Total earnings = 15 + 0.5s Total earnings = 15t +5s

The researcher claims that Interactive lessons are better than non-Interactive ones. He conducted the research with two Independent samples. One sample consisted of children, and another sample consisted of adults. The p-value for children was 0.04 and the p-value for the adult sample was 0.06. At a significance level 0.05, what could you conclude about the claim of the researcher? Interactive sessions are more effective as compared to non-interactive sessions for both children and adults. Interactive sessions appear to be more effective as compared to non-interactive sessions for children, but not for adults. Interactive sessions are more effective as compared to non-interactive sessions for adults, but not for children. Interactive sessions are not more effective than the non-interactive sessions for both adults and children.

The diameter of a circle is 3 cm. Find its area to the nearest tenth.

How does the annual percentage yield (APY) help a person decide whether to put his money in Bank A or Bank B if both are offering 24- month CDs at 4.25% interest? The APY will tell the person which bank has earned the highest profits in the past year. The APY is able to determine whether the earnings on the CD will keep ahead of the rate of inflation. If Bank A has a higher credit rating than Bank B, Bank A will have a higher APY. The APY will show the actual interest rate earned as opposed to the stated rate after the frequency of compounding is taken into effect.

A person earning $50,000 a year contributes 10% of her income to her retirement plan. As a result, her employer matches up to 5% of her salary as a contribution. What will be the total contribution to her retirement plan account for one year? $5,000 $5,250 $7,500 $10,500

43. What is the center of the hyperbola with the following equation? Is it horizontal or vertical? (y - 9)²/49 - (x + 5)²/64 = 1 The center is (-5,9), and the hyperbola is horizontal. The center is (-5,9), and the hyperbola is vertical. The center is (9,-5), and the hyperbola is horizontal. The center is (9,-5), and the hyperbola is vertical.

Find the diameter of the circle with the given circumference. Use 3.14 for π. C = 23 cm.

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year. What will her salary be in 6 years? Do not include the dollar sign in your answer.

The formula for the volume of a cone is most closely related to which of the following three-dimensional figures? rectangular prism cube sphere cylinder

Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a week. A sample of 100 steady smokers revealed that the sample mean is $20 and the sample standard deviation is $5. What is the probability that a sample of 100 steady smokers spend between $19 and $21? A) 0.4772 B) 0.0228 C) 0.9544 D) $20

• Every trapezoid is a quadrilateral. • Polygon W is not a quadrilateral. Which conclusion can be made using both statements? Polygon W is a pentagon. Polygon W is not a parallelogram. Polygon W is not a trapezoid. Polygon W is a triangle.

Which of the following are steps used to find the perpendicular bisector of the diameter of the circle? Select all that apply. Place the compass point on one end of the diameter and draw an arc reaching above and below the diameter. Set the compass opening to greater than half the diameter of the circle. Set the compass opening to the radius of the circle. Using a compass, draw an arc outside the circle from one point on the circle.

Two pieces of cloth are shaped like similar triangles. The lengths of the sides of the first piece of cloth are 5 inches, 9 inches, and 12 inches. The length of the shortest side of the second piece of cloth is 15 inches. What is the length of the longest side of the second piece of cloth? 36 in. 22 in. 27 in. 19 in.

You are given the choice between a yearly payment of $3,981 that increases by $223 every year or a yearly payment of $3,981 that increases by 1.1% compounded annually. How much money would you make after 10 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You are given the choice between a yearly payment of $3,652 that increases by $128 every year or a yearly payment of $3,652 that increases by 1.9% compounded annually. How much money would you make after 6 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

The diameter of a circle is 11 ft. Find its area to the nearest tenth.

A golfer hits the ball with an initial velocity of 140 ft/sec so that its path makes an angle of 31° with the horizontal. (b) How far is the ball from its starting point when it hits the ground? Give your answer to 2 decimal places.

2. A shoe company used packing boxes to ship four orders to retail stores. The number of packing boxes needed to transport the pairs of shoes is a function of the number of pairs ordered for each delivery. This function consists of only the ordered pairs (44, 3), (60, 4), (72, 5), and (88, 6). What is the domain for this situation? F {44,60,72,88} G (44,88) H (3, 4, 5, 6, 44, 60, 72, 88) J {3,4,5,6)

An Xbox depreciates in value, which means that its value becomes less and less as time passes. Your new Xbox is worth $500 at the moment and its value drops approximately 4% each year. Use your equation to find out how much your Xbox will be worth in 7 years.

The volume of a small rubber ball is 20 cubic inches. If the radius of the ball were doubled, what would be the volume of the new, larger ball in cubic inches? A.20 in.3 C.80 in.3 B.40 in.3 D.160 in.3

Which best describes the relationship between the line that passes through (3, 1) and (5, 2) and the line that passes through (4, 3) and (5, 1)? a) perpendicular b) parallel c) neither parallel nor perpendicular d) same line

The radius of a circle is 7 m. Find its area to the nearest tenth.

Which would be the best way to combine the following sentences using an adjective clause? Mr. Kold's timepiece was synchronized to the clock tower. He always carried it. A. Mr. Kold's timepiece that he always carried, was synchronized to the clock tower. B. Mr. Kold's timepiece that he always carried was synchronized to the clock tower. C. Mr. Kold's timepiece, that he always carried, was synchronized to the clock tower.

The area of a parallelogram is 100 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 1000 m² 200 m² 50 m² 10 m²

Joe constructed perpendicular bisectors of two sides of a triangle. What is his next step if he is constructing a circle circumscribing a triangle? Draw a line from the midpoint of one side to the opposite angle of the triangle. Draw arcs above and below the perpendicular bisector on one side. Mark the intersection of the perpendicular bisectors. Find the angle bisectors of two angles.

Solve the equation. tan θ= -2 sinθ What is the solution in the interval 0≤0<2n? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is {}. (Simplify your answer. Type an exact answer, using as needed Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution.

Which of the following statements is true about any sphere? Its cross section is in the shape of a circle. It has only two dimensions. Its surface area is measured in cubic units. It has a radius that is always a perfect square.

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 9 m and a depth of 1.5 m. Suppose water is pumped out of the pool at a rate of 13 m² per hour. If the pool starts completely full, how many hours will it take to empty the pool? Use the value 3.14 for , and round your answer to the nearest hour. Do not round any intermediate computations. hour(s)

The area of a parallelogram Is 64 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 8 m² 32 m² 128 m² 4 m²

A city has a density of 1452 people per square mile. If the town is 3.8 square miles, how many people live in the city? Round your answer to the nearest person.

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A can is 12 cm tall with a radius of 8 cm. Part A: Write the formula for finding the volume of the can. Part B: Calculate the volume of the can. Part C: Show all work for Part B.

For the following system: WRITE THE TWO EQUATIONS. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult citizen tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Sara has made this list to summarize what she learned in science class today: 1. Core 2. Radiation zone 3. Convection zone What is the best title for her list? The Layers of the Interior of the Sun The Layers of the Sun The Layers of the Atmosphere of the Sun The Main Layers of the Sun

If the pre-Image from a dilation is smaller than the Image, what best describes the dilation's scale factor? There is not a scale factor for the dilation. The scale factor is equal to 1. The scale factor is less than 1. The scale factor is greater than 1.

15. What type of edge on a 2-D figure will form a flat surface when it is rotated to form a 3-D figure? an edge perpendicular to the axis of rotation an edge that is curved and does not touch the axis of rotation an edge that is parallel to the axis of rotation an edge with a 45° angle with the axis of rotation

A movie theater has a seating capacity of 235. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1696, How many children, students, and adults attended? children attended. students attended. adults attended.

The population of Hilliard, Ohio, in 2013 was 31,012 people. The area of the City of Hilliard in 2013 was 13.34 square miles. Find the population density of Hilliard in 2013 rounded to the nearest person.

LT 15 A city with a population of 24380 people has a density of 2245 people/square mile. Rounded to the nearest tenth, what is the area of the city in square miles.

Which of the following conditions do not have to be met to prove two sollids have equal volumes using Cavalieri's principle? The solids must have the same height. The solids must have cross sections with the same area at equal heights. The solids must be included between two parallel planes. The solids must have the same length.

The decomposition reaction of calcium carbonate (CaCO3) is seen below; the change in enthalpy of the reaction is (AH) is 178.3 kJ/mole. CaCO3 (S)-> CaO (s) + CO2 (g) The reaction would be considered - A. Endothermic, releases heat B. Exothermic, releases heat C. Endothermic, absorbs heat D. Exothermic, absorbs heat

Suppose there are two stacks of ten dimes. In the first stack, the dimes are stacked with perfect alignment. In the second stack, the dimes are stacked irregularly but still on top of each other. Which of the following statements would be true? The height of the first stack would be greater than the height of the second stack. The area of the cross sections for each stack at equal heights would be different. The first stack of dimes would be included between two parallel planes; however, the second stack would not. The volume of both stacks of dimes would be equal.

A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay?

The diameter of a circle is 14 ft. Find its area to the nearest tenth. Answer: A =ft² Submit Answer

Which statements describe the altitudes of triangles? Select all that apply. An acute triangle has altitudes inside the sides of the triangle. A right triangle only has two altitudes. The point of concurrency for a triangle's altitudes is called the orthocenter. An obtuse triangle has altitudes along the legs of the triangle.

The population of Baconburg starts off at 2,823 people and grows 13% each year. How many people would populate Baconburg after 19 years?

All changes saved Which of the following is the BEST description for the resulting three-dimensional figure if a right triangle is rotated about the line containing its hypotenuse? a cone with slant height the same length as the longest leg a pyramid with triangular base a cone with slant height the same length as the shortest leg two cones sharing the same circular base with apexes opposite each other

Last week at the grocery store where you work, you sold 298 peaches and lost 36 because they expired. The store paid $0.45 per peach and sold each peach for $0.99. What profit did the store make on peaches last week? A. $141.56 B. $142.34 C. $142.59 D. $144.72 E. $153.65

Your job paid you $20,000 your first year. You are now given the choice of either earning an additional $425.00 each year you work (option 1) or 2% of your current salary (option 2). Your plan is to stay with this job for 5 more years. Which option do you choose? Make sure to include units and round to the nearest hundredth. Option 1 Amount: Option 2 Amount: Which option is better? (Type Option 1 or Option 2.)