Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
Help! Can you please help
Answer:
14)= 2/3/23 × 1/9/14
= 49/23 × 23/14 = 3/1/2
U CAN USE A CALCULATOR to find the rest......If u have one....
Step-by-step explanation:
11. 1.8
12. 22.6
13. 1.66
14. 3.5
A petting zoo gives out large buckets of healthy popcorn snacks for visitors to feed to the animals. what fraction of the snack is left in the bucket after a cow eats 1/3, a goose eats 1/12, and a goat eats 2/9?
Answer:
13/36 is left
Step-by-step explanation:
cow- 1/3 = 12/36
goose- 1/12 = 3/36
goat= 2/9 = 8/36
12 + 3 + 8 = 23/36
23/36 is consumed...
13/36 is left
The fraction of the snack left in the bucket will be 13/36.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:
cow- 1/3 = 12/36goose- 1/12 = 3/36goat= 2/9 = 8/36The amount consumed is:-
( 12/ 36 )+ (3 / 36 ) +( 8 / 36 ) = 23/36
So the amount left will be calculated as:-
Amount left = 1 - ( 23 / 36 )
Amount left = ( 36 - 23 ) / 36
Amount left = 13 / 36
Therefore fraction of the snack left in the bucket will be 13/36.
To know more about fractions follow
https://brainly.com/question/78672
#SPJ2
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary) into the equation box below.
Hello,
M=middle[AB]
The triangle ABC is equilateral :
x= 15/2
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: SAS
Answer:
please I don't know can u please help me out
Answer:
The answer to your question where SAS is given
∠T ≈∠ W
How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon
Answer:
13.9188 dollars
Step-by-step explanation:
1.1599 * 12 = 13.9188
Answer:
1 gallon fill = $1.1599
Step-by-step explanation:
we have to fill 12-gallons
Simple-Answer:
12 gallon = 12 * $1.1599
12 gallon = $13.9188
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
A car can run 16 km using 1 litre of pertol. How much distance will it cover using 2 3/4liters of petrol
===============================================
Work shown:
3/4 = 0.75
2 3/4 = 2 & 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75
We can form a proportion and solve for x like so
(16 km)/(1 liter) = (x km)/(2.75 liters)
16/1 = x/2.75
16*2.75 = 1*x .... cross multiplication
44 = x
x = 44
The car will cover a distance of 44 km
what is the area of this triangle
Answer:
son Judy even eat and technology and yyry and then he will get your BMW
To get a B in math, I must average 80 on 5 test. My scores on the 1st 4 test were 83, 75, 83, amd 78. What is the lowest score that I can get on the last test to still get a B?
Answer81 is the lowest you can get on the last test and still get a B.
Step-by-step explanation:I used the mean average and guess and check.
Answer:
83+ 75+ 83+ 78=319
319 divided by 4=79.75 so a high c
83+ 75+ 83+ 78+80=399
399 divided by 5=79.8 not quite
83+ 75+ 83+ 78+85=404
404 divided by 5=80.8
83+ 75+ 83+ 78+81=400
400 divided by 5=80
so you have to get a 80 to still get a b
if C{1,2} and D={4,5,6}, find C×D by tabulation method. i need for exam
Answer:
Step-by-step explanation:
C * D = {(x,y): x is an element of C and y is an element of D.}
C * D = { (1,4), (1,5), (1,6), (2,4), (2,5), (2,6) }
3. Una forma de dividir facilmente entre 4 es dividiendo dos veces entre 2.Observa el ejemplo y aplica el procedimiento utilizado
Ejemplo: 568÷4=(568÷2)÷2
= 284 ÷2
= 142
a) 936÷4= c)2 812÷4=
b) 2 084÷4= d)3 720÷4=
simplify(x_2y)(x_2y)_(x+2y)(x+2y)
Answer:
-8xy
Step-by-step explanation:
Expand
( x − 2 y ) ( x − 2 y )
x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )
x2−4xy+4y2−(x+2y)(x+2y)
x2−4xy+4y2+(−x−(2y))(x+2y)
Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)
x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)
x2−4xy+4y2−x2−4xy−4y2
− 8xy
Which table of values corresponds to the graph below?
Answer:
Step-by-step explanation:
No Graph
Find the value of x line 1 and m are parallel
Helppp
Answer:
The angle ACB = 50 degree.
Step-by-step explanation:
Given that angle E = 40 degree
Angle D = 90 degree
Triangle ABC is congruent to triangle DEC.
Now Angle ACB = Angle ECD = 90 -40 = 50 degree
So, angle ACB = 50 degree.
yall still in school? i ended may 27th hbu?
Answer:
mine ended june 9th but i got summer school for 2 classes lol
School ended the 15 of June but I'm in summer school rn it ends this Friday
0.4x + 3 = 0.2(3x+1) - x
Solve for x
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
PLEASE HELP!!! Urgent. Will mark as brainliest
Answer:
Step-by-step explanation:
m∠2 = [tex]\frac{1}{2}[/tex](55+41)
m∠2 = [tex]\frac{1}{2}[/tex](96)
m∠2 =48°
m∠1 = 180-48 = 132°
product of (6x+8us^2)(x-us^2)
Answer:
−8s4u2+2s2ux+6x2
Step-by-step explanation:
=(6x+8us2)(x+−s2u)
=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)
=6x2−6s2ux+8s2ux−8s4u2
=−8s4u2+2s2ux+6x2
Answer:
6x² + 2xus² - 8u²s^4
Step-by-step explanation:
(6x+8us²)(x-us²)
6x² - 6xus² + 8xus² - 8u²s^4
6x² + 2xus² - 8u²s^4
simplify (-9)×5×6(-3)
[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]
use the quadratic formula to solve x^2 + 3^x - 28 = 0
Step-by-step explanation:
x^2 + 3x - 28 = 0
x^2 - 7x + 4x - 28 = 0
x(x-7) + 4(x-7) = 0
(x+4)(x-7)= 0
x+4=0 or x-7=0
x= -4 or x=7
Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3
Answer:
48
Step-by-step explanation:
let the number be x and x + 16 the result of adding 16 to it, then
the ratio of the result to the original is
[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 3(x + 16) = 3x + 48 ( subtract 3x from both sides )
x = 48
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answer:
a²+b²-18greaterthan or equal to 6a-6bsomeone help me please with this algebra problem
Answer:
7 in.
Step-by-step explanation:
2L + 2W = 16
Try L = 7
2(7) + 2W = 16
14 + 2W = 16
2W = 2
W = 1
If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.
Try L = 8
2(8) + 2W = 16
16 + 2W = 16
2W = 0
W = 0
A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.
When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.
Answer: 7 in.
Find the value of x,rounded to the nearest tenth
Answer:
Step-by-step explanation:
The formula for this is
14(20) = 25x and
280 =25x so
x = 11.2
a same side interior angles pf two parallel lines is three times the other same side interior angle. find the measures of these two angles
Answer:
45 and 135
Step-by-step explanation:
Same Side Interior Angles = 180
x + 3x = 180
4x = 180
x = 45
3x = 135
Answer:
Angle 1 = 45 degrees
Angle 2 = 135 degrees
Step-by-step explanation:
All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.
180/4 = 45
First angle = 45 degrees
Second angle = 135 degrees
help or i will fail my acellus
Answer:
I think it's 155 cm
Step-by-step explanation:
=(5×5×3)+(5×2×4)
= 75+40
= 155 cm2
Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²
[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25
[tex]\overline{AM}[/tex] = 25
[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
∴ [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
Similarly we get;
[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²
Therefore, we get;
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² + [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²
2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288
[tex]\overline{CP}[/tex]² = 288/2 = 144
[tex]\overline{CP}[/tex] = √144 = 12
From [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]², we get
[tex]\overline{AC}[/tex] = √(9² + 12²) = 15
[tex]\overline{AC}[/tex] = 15
From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;
[tex]\overline{CM}[/tex] = √(16² + 12²) = 20
[tex]\overline{CM}[/tex] = 20.
What is the area of this figure
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²