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MATH SOLVE
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There are four positive integers $a$, $b$, $c$, and $d$ such that \[ 4\cos(x)\cos(2x)\cos(4x) = \cos(ax) + \cos(bx) + \cos(cx) + \cos(dx) \]for all values of $x$. Answer with $a, b, c, d$ in any order, separated by commas.
General
4 months ago
Cl2 + 2KBr -> Br2 + 2KCl what is the reaction?
General
4 months ago
A mathematics textbook has 100 pages on which typographical errors in the equations could occur. Suppose there are in fact two pages with errors. What is the probability that a random sample of 20 pages will contain at least one error?
General
4 months ago
What are the coordinates of the image of vertex D after a reflection across the x-axis?A.) (5,3)B.) (-5,-3)C.) (-3,5)D.) (3,-5)
General
4 months ago
The function h(x) = (x – 3)3 + 1 is graphed on a coordinate grid. Which statements about the graph are true? Check all that apply. The domain of the function is all real numbers. The range of the function is all real numbers. The graph is a translation 3 left and 1 up from the function f(x) = x3. The graph crosses the y-axis once. The graph crosses the x-axis three times. The graph increases from negative infinity to positive infinity.
General
4 months ago
A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women 18-21 years of age, a random sample of 100 women was selected in January. Another random sample of 100 women was selected in March. Another random sample of 100 women was selected in June. Another random sample of 100 women was selected in September. What is the number of samples?
General
4 months ago
The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?(x,y) --> (x+5,y+3)(x,y) --> (x+5,y-3)(x,y) --> (x+3,y+5)(x,y) --> (x-3,y+5)
General
4 months ago
Katie creates a game in which 3 dimes are flipped at the same time. 5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement). Group of answer choices
General
4 months ago
Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.
General
4 months ago
You have a jar containing 74 coins, consisting entirely of pennies and quarters, worth a total of $6.74. How many quarters are in the jar? Type in your numerical answer only; do not type any words or letters with your answer.
General
4 months ago
Which number is a ration number when multiplied by 0.25?A. 0.45B. -squard root of 15C. Pie D. 0.53713218
General
4 months ago
Four bagels and five muffins cost $9. Two bagels and ten muffins cost $15. How much does a bagel cost? How much does a muffin cost? Bagel: $[.5] Muffin: $[1.4]
General
4 months ago
Machine A can complete a certain job in x hours. Machine B can complete the same job in y hours. If A and B work together at their respective rates to complete the job, which of the following represents the fraction of the job that B will not have to complete because of A's help?A) (x – y)/(x + y)B) x/(y – x)C) (x + y)/(xy)D) y/(x – y)E) y/(x + y)
General
4 months ago
Which number is irrational?A.0.020202.....B. 0.8 C. SQUARE ROOT OF 7 D. 0.333....
General
4 months ago
Last month, a shop had 3200 customers. This month, the shop only had 3088. What percentage decrease is this?
General
4 months ago
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books. There were 2 more large boxes sent than small boxes, which altogether can hold 280 books. Determine the number of small boxes sent and the number of large boxes sent.
General
4 months ago
The function f(x) = xis translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
General
4 months ago
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, whererepresents the smaller integer. Which equation can be factored and solved for the smaller integer?0 x² + x - 72=0x² + x + 72 = 00x² + 2x - 72=00x² + 2x + 72=0
General
4 months ago
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.
General
4 months ago
Janice is 4 inches shorter than David, and David is 2 inches shorter than Evan. If Evan is 13 inches taller than Kathleen and Kathleen is 6 inches shorter than Krysta, by how many inches is Janice taller than Krysta?
General
4 months ago
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