Answer:
Step-by-step explanation:
1) nth therm = dn + (a - d)
-10n + (11+10)
-10n + 21
t11 = -110 + 21 = -89
2) nth therm = 3n + (-66 - 3)
3n - 69
t16 = 48 - 69 = -21
solve for:− 5 − 6 ≤ 8 − 8 − (show your work)
Answer:
hope it helps.
stay safe healthy and happy...Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Hi there!
The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.
5 cm and 8 cm ⇒ 5+8=13; not greater than 13
6 cm and 7 cm ⇒ 6+7=13; not greater than 13
7 cm and 2 cm ⇒ 7+2=9; not greater than 13
8 cm and 9 cm ⇒ 8+9=17; greater than 13
Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.
I hope this helps!
pls help, i have class rn :(
in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
What number should be subtracted from -3/4 to get 5/6?
Answer:
Let that rational number to be subtracted be x.Given,-5/6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.
Step-by-step explanation:
why can two prime numbers only have one common factor?
A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).
At the beginning of the chemistry experiment, Lisa measured the temperature of a liquid to be -5°C. During the experiment, she measured the liquid 3 times and the results showed, its dropped 9°C, rose 25°C, and drop 15°C. What was the liquid temperature at the end of the experiment?
Answer:
-4°C
Step-by-step explanation:
At the beginning of the chemistry experiment the temperature of the liquid was -5°C and it dropped 9°C so you do:
-5°C - 9°C = -14°C
The answer is -14°C for the first part of the question because when you are subtracting a positive number from a negative number you have to add the two numbers together but your answer will always be a negative number.
Then you add 25°C to -14°C:
-14°C + 25°C = 11
Because when adding a negative number to a positive number that is bigger than the negative number you have to subtract but your answer will always be a positive number, however if the positive number is smaller than the negative number your answer will be a negative number.
Then you subtract 11°C from 15°C:
11°C - 15°C = -4°C
Because when you subtract a number that is bigger than the first number you get a negative number.
What is the equation of the following line written in general form? (The y-intercept is -1.)
Answer:
2x-y-1=0
Step-by-step explanation:
.
what is the ratio of Sin 45°?
Answer:
1/√2
Step-by-step explanation:
The value of sin 45 is 1/√2
please help! I cant figure this out!
Shjdksjcksmcjcsnuckamc
Answer:
you should make the picture more clear, i cant see the answer choices
Answer:
use pythogoream theorem that is,
Step-by-step explanation:
c*2=a*2+b*2
so in order to find a*2;
a*2=c*2-b*2
What is the product?
3x + y = 10 x - y = 2 2
Through any two points there is exactly one _____
space.
plane.
line.
point.
Answer:
C. Line
Is the correct answer
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
Find the area of circle Q in terms of x
Answer:
The answer is C 100πcm^3
write a function rule for the following data
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
as angles of two triangles are equal, so they are similar.
x/17 =35/14=40/16
x/17=35/14
x=35/14×17=85/2=42.5
perimeter of ΔJKL=40+35+42.5=117.5
At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?
Answer:
$765
Step-by-step explanation:
[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]
A(n) = 450 + (n – 1)(0.05 • 450); $765.00
Write each as a percent. Use proportions.
7/25
2/3
3/8
3. Find the equations of the lines that form the sides to the polygon shown below. What type of polygon is it? Explain your reasoning.
Answer: The question is not complete. the figure is attached below.
The polygon is a rectangle.
Step-by-step explanation:
Line 1 goes through (-2, 3)
hence the slope of line 1 = -3/2
Line 2 goes through (0, 3) (2, 0)
hence the slope of line 2 = -3/2
Line 3 goes through (0, 1) (-3, 1)
hence the slope of line 3 = 2/3
Line 4 goes through (3, 0) (0, -2)
Hence the slope of line 4 = 2/3
therefore -3/2 * 2/3 = -1
Line1 + Line3 Line1 + Line4 Line2 + Line3 Line2+Line4
because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.
The polygon is a rectangle polygon.
Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.
Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.
Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.
La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?
Answer:
Falso.
Step-by-step explanation:
Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:
(a) El exponente es cero.
(b) El exponente es un negativo impar.
(c) El exponente es un negativo par.
(d) El exponente es un positivo impar.
(e) El exponente es un positivo par.
(a) El exponente es cero:
Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.
(b) El exponente es un negativo impar:
Considérese las siguientes expresiones:
[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]
Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:
[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]
[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.
(c) El exponente es un negativo par.
Si [tex]n[/tex] es par, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' = c'[/tex], la proposición es verdadera.
(d) El exponente es un positivo impar.
Considérese las siguientes expresiones:
[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]
[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]
(e) El exponente es un positivo par.
Considérese las siguientes expresiones:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.
Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.
Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A
Answer:
TFY
Step-by-step explanation:
let's start with the 90 degrees angle.
this is C in the first, and T in the second triangle.
so, C and T must be aligned.
and the we go around.
F ~ H
and then
Y ~ S
URGENTT!!!! help quick please
7x-3=5x+9 solve for x
Given :-
7x - 3 = 5x + 9To Find :-
The value of x.Solution :-
Taking the given equation ,
=> 7x -3 = 5x + 9
=> 7x - 5x = 9 + 3
=> 2x = 12
=> x = 12 ÷ 2
=> x = 6
Hence the required answer is 2 .
A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without
looking, how many ways can you get 5 apples?
Answer:
6 I think
Step-by-step explanation:
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
help with this question please