prove that 4^2n + 10n − 1 is divisible by 25. [hint: binomial theorem]​

Answer:

0

Step-by-step explanation:

4^2 + 10-1

16 + 10 - 1

26 - 1

25

25 divided by 25 = 0

A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 3

ready
A machine contains two gears. The large gear has 12 teeth and the small gear has 8 teeth.
The gears are marked with arrows to show their starting positions. Josh wants to know how
many times each gear needs to turn for the arrows to line up again.
10
•) Find the number of teeth that have touched
after each full turn of the large gear.
11
Small Gear
) Turns )
Large Gear
Teeth
Teeth
1
12
8
2
3
?
4
?

f(x)=[tex]x^{2}[/tex]-6x+9

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...

causation
interpolation
extrapolation
correlation

Line with a slope of -1/4 and containing. (4,-3)

Question Find the slope of the line. (-1,3) (3,3)

How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST ​

From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)

A truck can be rented from Company A for ​$100 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company.

Plz hurry I really need the answer… like now

!!!25 Points HELP ME PLS ASAP

The coordinates of the vertices of quadrilateral ABCD are A(0,4), B(4,2), C(2, -1), and D(-2,1). Jorge states that quadrilateral ABCD is a parallelogram. Prove or disprove Jorge's statement. ( Will Mark Brainliest and Please Do Not Repost Someone Else's Answer on here from brainly or any other websites.​

A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.

Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6


If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.

use the given zero to find all the zeros of the function.

g(x)= 3x^3+11x^2+11x-5
zero: -2+i

530÷34= ? Write answer as a whole number and remainder.

2
73. A firm's profits equal $100 if
A. its total revenue is $100.
B. the sum of its total revenue and its total cost is $100.
C. the difference between its total revenue and its total cost is $100.
D. its total cost is $100.

Maria filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of gas. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?

3 with an exponent -5

At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? SHOW YOUR WORK.​

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Queen, and King; the last three are considered face cards). A card is drawn at random from a standard 52-card deck. What is the probability that the card is not an Ace

7.
Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = –2

A. y – 10 = –2(x + 9)

B. y – 9 = –2(x – 10)

C. y – 9 = –2(x + 10)

D. y + 9 = –2(x – 10)

Anyone know thisss

its math

Which translation will change figure ABCD to figure A'B'C'D'?

Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 3, point B prime is at the ordered pair negative 1, 1, point C prime is at the ordered pair negative 5, 0, and point D prime is at the ordered pair negative 5, 2.

7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up

What do I put in the box?? Do I skip count?

Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?

The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)

if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?

Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.

A.
At 6 hours, the total cost for babysitting will be $60.

B.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.

C.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.

D.
At 6 hours, the total cost for babysitting will be $70.