Answer: The sum of the numbers is 3x + 12
Step-by-step explanation: A brief explanation of an arithmetic progression would be useful for a start.
An arithmetic progression (also known as arithmetic sequence) is series of consecutive numbers in which every term in the entire series is determined by adding a common difference to the previous term. In other words, if x and y are two successive numbers in an arithmetic term, y can be determined by adding the common difference to x. Similarly, the term that comes after y is determined by adding the same common difference to y.
As stated in the question, the numbers x, y and z are successive terms of an arithmetic progression, and the common difference is given as 4. This simply means;
y = x + 4
z = y + 4
z = (x + 4) + 4
z = x + 8
The terms x, y and z can now be re-written as follows,
x, x + 4, and x + 8
The sum of these numbers therefore is derived as,
Sum = x + x + 4 + x + 8
Sum = 3x + 12
sin 45 x sin 60 equals to 1 minus under root 3 upon 2 under root
Answer:
Step-by-step explanation:
sin(45) x sin(60) = 1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex]
This equation is false...
sin(45) * sin(60) = 0.612372435
1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex] = -0.456475315
A car is traveling at a rate of 100 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
62mph
Step-by-step explanation:
Answer: 250 miles
Step-by-step explanation:
100 kph = 62.5 mph
In 4 hours, the car will travel
62.5 x 4 = 250 miles
local maximum of y=2x3+x2−7x−6.
Answer:
I did as linear equation hope it helps
The answer is B
.......................
Answer:
Brainliest
Step-by-step explanation:
The one you chose is correct
Find the value of x in each of the following
a) x + 3 = 8
b) X-5 = 7
Answer:
a) x = 5
b) x = 12
Step-by-step explanation:
x + 3 = 8
Subtract 3 on both sides.
x = 8 - 3
x = 5
x - 5 = 7
Add 5 on both sides.
x = 7 + 5
x = 12
Answer:
[tex]a)x = 5 \\ b)x = 12[/tex]
Step-by-step explanation:
[tex]a)x + 3 = 8 \\ x = 8 - 3 \\ x = 5[/tex]
[tex]b)x - 5 = 7 \\ x = 7 + 5 \\ x = 12[/tex]
A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 5 and the coin landing on tails?
Answer:
The order doesn’t matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.
Answer:
the probability of getting 5 from standard deck is 4/52 and probability to get tails from a flipped coin is 1/2
Step-by-step explanation:
as there are 4 parts in card i.e spade diamonds hearts and clubs which has 13 cards each from each 13 cards there are one 5 card so there are 4 cards with 5 number in standard deck
there is only one tails in a coin
10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?
Answer:
7.5 miles
Step-by-step explanation:
Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.
They're asking what the Function equals, and they're giving you the value of the variable t.
To solve, write the equation d(15) = 0.5(15)
And if you simplify the right side of the equation, you'll find that
d(15) = 7.5
If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.
Convert 0.396 to a fraction in its simplest form
Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.
Answer:
2, 3
Step-by-step explanation:
2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.
3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)
I hope this helps :)
The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.
What are the statements?Second is true because when the coefficient is negative the parabola opens down because their values starts decreasing.
Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.
Learn more about parabola at https://brainly.com/question/4148030
#SPJ2
A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h=-4.9t^2+68.6t What would be the
maximum height, to the nearest meter, attained by the model?
Answer:
240 m to nearest meter.
Step-by-step explanation:
h = -4.9t^2 + 68.6t
We need to convert this to vertex form to find the maximum value of h:
h = -4.9(t^2 - 14t)
h = -4.9[(t - 7)^2 - 49]
h = -4.9(t - 7)^2 + 240.1
So maximum height is when t = 7 and it's 240.1 meters.
First Identify the Angle relationship, then solve for x.
Answer:
x=2
Step-by-step explanation:
46x-2=45x
+2 +2
46x=45x+2
-45x -45x
x=2
Answer:
I hope you can see the pic
Step-by-step explanation:
(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.
complete the two colum roof
Answer:
If angle 2 = 110 then angle 4 = 110
360 = 110 + 110 + x
Angle 1 + Angle 3 = 140
Since vertical angles are equal, then Angle 1 = 140 / 2 = 70 degrees
Step-by-step explanation:
Step-by-step explanation:
∠3+∠4= 180°
Since ∠2 ≅ ∠ 4 and ∠2= 110°
∠3= 180° - ∠4= 180° - ∠2= 180° - 110°= 70°
So proved
SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) A rectangle with perimeter 18 cm has length that is 3 cm more than twice its width. Find the dimensions of the rectangle.
Answer:
[tex]w=2\\l=7[/tex]
Step-by-step explanation:
[tex]l+l+w+w=18\\\\2w+3=l\\\\2w+3+2w+3+w+w=18\\6w+6=18\\6w=12\\w=2\\\\2w+3=l\\2*2+3=l\\4+3=l\\l=7[/tex]
Answer:
3 cm by 6 cm
Step-by-step explanation:
Represent the length and width by L and W.
The perimeter is P = 2L + 2W, and here the perimeter is 18 cm.
Finally, L = W + 3 cm. substituting W + 3 cm for L in the above equation, we get:
18 cm = 2(W + 3) + 2W, or (after reduction)
9 cm = W + 3 cm + W
Then 2W = 6 cm, or W = 3 cm.
Then the length is L = W + 3, or 3 cm + 3cm = 6 cm
The dimensions of the rectangle are 3 cm by 6 cm.
Check: Does 2(3 cm) + 2(6 cm) = 18 cm? Yes
The temperature at 12 Noon was above zero. If it decreases at the rate of
Per hour until midnight, at what time would the temperature be below zero?
Answer:
Brianliest!
Step-by-step explanation:
It could be found if you were given the rate
since there is no rate, the question should be answered that there is not enough information
what is 4382 to 1 significant figure
Answer:
4382 to 1 sf is [tex]4 * 10^3[/tex]
Since powers are not counted in significant figures so this is the answer.
Hope it helps you :D
Segments AP and BP have the same length. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B?
I. (3/2, 6)
II. (9, 24)
III. (-8,7)
A) I and II only
B) II and III only
C) II only
D) III only
Answer:
B) II and III only
Step-by-step explanation:
Coordinates of A = (-1,0)
Coordinates of P =(4,12)
Let (x,y) be the coordinates of B
Distance formula : =[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AP = BP
[tex]\sqrt{(4+1)^2+(12-0)^2}=\sqrt{(4-x)^2+(12-y)^2}[/tex]
[tex](4+1)^2+(12-0)^2=(4-x)^2+(12-y)^2[/tex]
[tex]169=16+x^2-8x+144+y^2-24y[/tex]
[tex]x^2-8x+y^2-24y-9=0[/tex]
I)(3/2,6)
[tex](\frac{3}{2})^2-8(\frac{3}{2})+6^2-24(6)-9=0\\-126.75 \neq 0[/tex]
II)(9,24)
[tex](9)^2-8(9)+(24)^2-24(24)-9=0[/tex]
0= 0
C)(-8,7)
[tex](-8)^2-8(-8)+(7)^2-24(7)-9=0[/tex]
0=0
So, II and III could be the coordinates of B
So Option B is true
II) II and III only
Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is prime. Answer THIS PLEASE I AM SO CONFUSED
Answer:
5/12 or 15/36
Step-by-step explanation:
Since he rolls two dice, he has a total probability of 6 times 6 = 36. The pairs, that he could add up to primes are (1,1), (2,1) * 2 (since he can get 1,2 as well), (1,4) * 2, (2,3) * 2, (3,4) * 2, (5, 2) * 2, (6,1) * 2, (5, 6) * 2. This is 1 + 2 + 2 + 2 + 2 + 2 + 2 + 2, which is equal to 15. This is a total of 15/36 possible ways, which is also equal to 5/12.
Graph y=−4/7x+1. do this math
Answer:
Use demos or a graphing calc.
Step-by-step explanation:
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: −4/7
y-intercept: 1
What is the range of the data show in the frequency table? Age Tally Frequency 24 | 1 25 || 2 26 5 27 |||| 4 28 0 29 |||| 4 5 3 4 13
Answer:
The range of the data is 9.
Step-by-step explanation:
The frequency table shown is:
Age Tally Frequency
24 | 1
25 || 2
26 ||||| 5
27 |||| 4
28 - 0
29 |||| 4
30 ||||| 5
31 ||| 3
32 |||| 4
33 13
The range of a data set is the difference between the highest and the lowest value.
Range = Maximum - Minimum
= 33 - 24
= 9
Thus, the range of the data is 9.
Answer:
3
Step-by-step explanation:
SOMEONE PLS HELP !! In a randomly generated list of numbers from 0 to 4, the chance that each number can occur is 1/4. True or False?
Answer:
False
Step-by-step explanation:
This is false because there are 5 numbers from 0 - 4 (0, 1, 2, 3, 4) so the probability will be 1/5 not 1/4.
Which is a function represented by the table
A. F(x)=x+5
B.f(x)=x-5
C.F(x)=x+1
D. F(x)=x-1
can someone please help me? thanks!
Answer:
x = 8
[tex] m\angle A= 30\degree[/tex]
Step-by-step explanation:
By interior angle on one side of transversal postulate.
[tex] m\angle A + m\angle B = 180\degree \\
\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\
\therefore (20x + 20)\degree = 180\degree \\
\therefore 20x + 20 = 180
\therefore 20x = 180 - 20\\
\therefore 20x = 160\\\\
\therefore x = \frac {160}{20}\\\\
\huge \red {\boxed {\therefore x = 8}} \\\\
\because m\angle A= (6x - 18)\degree \\
\therefore m\angle A= (6\times 8- 18)\degree \\
\therefore m\angle A= (48- 18)\degree \\
\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\[/tex]
What is the solution to this system of
equations?
S2x + 8y = -4
x + 4y = -2
Answer:
There are infinitely many solutions
Step-by-step explanation:
2x + 8y = -4 ⇒ x+4y = -2x + 4y = -2As we see these are equal, so overlapping 2 lines. There are infinitely many solutions to the system
Answer:-2
Step-by-step explanation:
Which symbol would make the statement TRUE?
4.589 4.958
A. <
B. >
C. =
D. none of the above
Answer:
A. <
Step-by-step explanation:
The symbol "<" means less than.
Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).
So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".
This can be written by using just symbols without words, thus, we have:
4.589 < 4.958.
The correct option is A. <
A Fan was sold for Rs 1035 having 15% profit. If it was sold on 8%
loss, find the selling price.
hope its helpful to uh...
The dual bar chart shows the hair colour of boys and girls in a year group. How many students are in the year group?
Answer:
80 studentsSolution,
Black=23+3=26
Brown=14+11=25
Blonde=1+6=7
Red=14+8=22
Now,
Total=26+25+7+22
=80
Hope this helps...
Good luck on your assignment....
Answer:
80
Step-by-step explanation:
Number of students is the sum of all the bars:
23+3+14+11+1+6+14+8= 80So the number is 80
select a brand with the least expensive corn per ounce
A) ounces price
18 1.50
36 3.00
54 4.50
B) .75 for 15 oz
C) Maia buys an 11 ounce can of brand c corn for 2.20
Answer: Option B.
Step-by-step explanation:
The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.
A) we have a table:
ounces price
18 $1.5
36 $3.00
54 $4.5
We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5
Then the price per ounce is:
p = $1.5/18 = $0.083
B) here we know that 15 oz cost $0.75, the price per ounce is:
p = $0.75/15 = $0.05
C) here we have 11 ounces, and the price is $2.20
then we have:
p = $2.2/11 = $0.2
Then we can conclude that the least expensive is option B.
Answer:b
Step-by-step explanation:
did it on khan
Question is down below, best answer gets Brainliest! Good luck!
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
976 cm^2
Step-by-step explanation:
Area of triangle: 1/2bh
Area of rectangle b×h
2 Triangular ends 12×14=168 each So 336
2 sides 10×25=250 each So 500
1 base 10×14=140
Add: 140+500+336=976 square centimeters
Como eu resolvo isso? x + y = 7 x + y = 1
Answer:
usas la sustitución para resolver esto
Step-by-step explanation:
Restar y
de ambos lados de la ecuación.
x = 7 − y
x − y = 1
Reemplazar todas las apariciones de x
en x − y = 1 con 7 − y
.
x = 7 − y
(7 − y) −y = 1
Restar y
de −y
.
x = 7 − y
7−2y = 1
Resuelve por y
en la segunda ecuación
x = 7 − y
y = 3
Reemplazar todas las ocurrencias de y
en x = 7 − y con 3
.
x = 7− (3)
y = 3
Simplifica 7− (3)
x = 4
y = 3
La solución al sistema de ecuaciones se puede representar como un punto.
(4,3)
El resultado se puede mostrar en múltiples formas.
Forma de punto:
(4,3)
Formulario de ecuación:
x = 4, y = 3
espero que esto ayude :)
Solve 15=1.5r+3 check your solution
Answer:
r = 8
Step-by-step explanation:
15 = 1.5r+3
Subtract both sides of the equation by 3.
15-3 = 1.5r+3-3
12 = 1.5r
Divide both sides of the equation by 1.5.
12/1.5=1.5r/1.5
8 = r
r = 8
Answer:
[tex]8[/tex]
[tex]1.5r + 3 = 15 \\ 1.5r = 15 - 3 \\ 1.5r = 12 \\ r = \frac{12}{1.5} \\ r = \frac{120}{15} \\ r = 8[/tex]