Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected? (5 points)
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
Answer:
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step-by-step explanation:
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
We are adding the angles to form a straight line which is 180 degrees
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
I cant think of this question
Answer:
abcdsStep-by-step explanation:
Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $2$ pineapples at $\$4$ each, $2$ bags of flour at $\$5$ each, and a giant $\$7$ container of ice cream. This week the store has a sale and pineapples are half price. Judy also has a coupon for $\$5$ off any order of $\$25$ or over. How much money does Judy spend on this shopping trip
Answer:
She spends $30 in total.
Step-by-step explanation:
Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:
Every week Judy buys:
5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.
3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.
2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.
2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.
1 giant container of ice cream, she spends $7 on it.
So the total money that she speends is:
$5 + $9 + $4 + $10 + $7 = $35
And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.
So she will spend a total of $35 - $5 = $30
She spends $30 in total.
How many solutions does 6 - 3x = 4 - X-3 - 2x have?
O A. Infinitely many solutions
O B. No solutions
C. Two solutions
D. One solution
Answer:
6 - 3x = 4 - X-3 - 2x
-3x+x+2x=4-6-3
0x=-5
No solutions
1/t=1/g+1/v make g the subject
Answer:
g = vt/(v - t)Step-by-step explanation:
See the solution in steps:
1/t = 1/g + 1/v1/g = 1/t - 1/v1/g = (v - t)/(vt)g = vt/(v - t)Someone exchanged a dollar bill for change and received 7 coins, none of which were half-dollars. How many of these coins were dimes? a. 0 b. 1 c. 4 d. 5 e. Cannot be determined from the information given
There is only 1 dime because there are 3 quarters, 3nickels, and 1 dime which makes 7 coins
The cost of tickets of a comedy show of 'Gaijatra' is Rs 700 for an adult and Rs 500 for a child. If a family paid Rs 3,100 for 5 tickets, how many tickets were purchased in each category?
Answer:
Step-by-step explanation:
We need to create a system of equations here, one for the NUMBER of tickets sold and one for the COST of the tickets. They are very much NOT the same thing.
We have that the total number of tickets is 5, and that that total is made up of adult tickets and child tickets. The equation for the NUMBER of tickets, then, is:
a + c = 5
Now for the money.
If a child ticket costs Rc 500, the expression that represents that that is in fact the cost of the child ticket is 500c;
likewise for the adult ticket. If the adult ticket costs Rc 700, the expression that represents that is 700a.
And we know that a total of Rs 1300 was spent on the tickets. The equation for the COST is
700a + 500c = 1300
Now go back to the first equation and solve it for either a or c, it doesn't matter which. I solved for a:
a = 5 - c and we will sub that into the second equation for a:
700(5 - c) + 500c = 1300 and
3500 - 700c + 500c = 1300 and
-200c = -400 so
c = 2 tickets. That means that there were
a = 3 tickets sold for the adults.
What is an equation of the line that passes through the points ( − 7 , 7 )and( 3 , 7 )
Answer:
Y=7
Step-by-step explanation:
x1 y1 x2 y2
-7 7 3 7
(Y2-Y1) (7)-(7)= 0 ΔY 0
(X2-X1) (3)-(-7)= 10 ΔX 10
slope= 0
B= 7
Y =0X +7
Answer:
y = 7
Step-by-step explanation:
(x₁, y₁) = (-7 , 7) & (x₂, y₂) = (3 , 7)
y-co-ordinate are same for both points. So, the line parallel to x-axis and it's slope =0
A line that is parallel to x-axis and has a y-intercept 'c' has the equation y = c
y = 7
help please tries 2 times
Answer:
(2,1)
Step-by-step explanation:
2x - 2y = 2
5x + 2y = 12
again just add them in this case
7x = 14
x = 2
4 - 2y = 2
-2y = -2
y = 1
could someone please answer these two
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
Use the first five terms of the binomial theorem to approximate (-1.4)^8
Answer:
14.75789056
Step-by-step explanation:
I think so...
The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
Given expression as (- 1.4)⁸
as a result, if you have raised a negative integer to an even power, the response will be positive.
Eliminating the negative sign.
⇒ (1.4)⁸ = (1+0.4)⁸
⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴
⇒ 1+3.2+4.48+3.584+1.792
⇒ 14.056
If we used one more term we would get 14.62944
Learn more about the binomial theorem here:
https://brainly.com/question/27813780
#SPJ2
Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)
Answer:
(n-2)180
Step-by-step explanation:
Let us assume the number of sides is 'n'.
So,
The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180
HELPPPPP PLEASEEEEEES ASAP
At the beginning of year 1 Jonah invests $300 at an annual compound interest rate of 4%. He 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 6?
what is the square root of 100
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
Find a recursive rule for the nth term of the sequence.
-8, 3, 14, 25, ...
Answer:
Step-by-step explanation:
a1=-8
a2=3
D=11
n=-8+11(n-1)
Determine whether the two triangles are similar.
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M
Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
Kay left her computer running for 2~ days. How many hours did she leave her computer running for?
she left her computer open for 48 hours
Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
While you’re at the top of the tower(50 meters), you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement.
Answer:
50.4 meters
Step-by-step explanation:
Given
[tex]h = 50[/tex] -- height of the tower
[tex]\theta = 7.1^o[/tex] --- angle with the wall (missing from the question)
Required
The distance walked by the ant (d)
I've added an attachment to illustrate the given parameters.
Where
[tex]h \to[/tex] height of the tower
[tex]d \to[/tex] distance walked
To calculate d, we make use of cosine trigonometric ratio:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
So, we have:
[tex]\cos(7.1^o) = \frac{50}{d}[/tex]
Make d the subject
[tex]d = \frac{50}{\cos(7.1^o)}[/tex]
[tex]d = \frac{50}{0.9923}[/tex]
[tex]d = 50.4[/tex]
Identify the like terms in the equation 2/9 x + 6/7 + 2.35x = -4/5 x.
Answer:
Step-by-step explanation:
2/9 x + 6/7 + 2.35x = -4/5 x.
the like terms are 2/9 x , 2.35x, and -4/5 x.
they all have the variable x
George is painting fences at the zoo. It takes 2 2/3 cans of paint to paint each fence. If George paints 9 fences, how much paint will he use?
Answer: 24 cans
Step-by-step explanation:
Given
George has 9 fence
It requires [tex]2\frac{2}{3}[/tex] cans to paint a fence
So, 9 fence required
[tex]\Rightarrow 9\times 2\dfrac{2}{3}\\\\\Rightarrow 9\times \dfrac{8}{3}\\\\\Rightarrow 3\times 8=24\ \text{cans}[/tex]
9 fence requires 24 cans
ram has got 3 children. what is the probability of his children being same sex
Answer:
1/9
Step-by-step explanation:
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm
Answer:
Step-by-step explanation:
first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm
a = 48
b= 30
Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]
= 1/2*30√( 48² - 1/4×30²)
=1/2*30√ (2304 -225)
=684sq cm
cost required to make umbrella= 10*684*5
= 34200
Find the value of x in the triangle shown below.
Answer:
50
Step-by-step explanation:
What were the dimensions of the original photo? 4 inches by 4 inches 6 inches by 6 inches 10 inches by 10 inches 12 inches by 12 inches
Answer:
6 inches by 6 inches
Step-by-step explanation:
Area of the square = 256 inches ²
Given equation:
(x + 10)² = 256
Where,
x = side measure of the original square
(x + 10)² = 256
(x + 10)(x + 10) = 256
x² + 10x + 10x + 100 = 256
x² + 20x + 100 = 256
x² + 20x + 100 - 256 = 0
x² + 20x - 156 = 0
Solve the quadratic equation by factorization
Find two numbers whose product is -156 and sum is 20
The numbers are -26 and 6
x² + 26x - 6x - 156 = 0
x(x + 26) - 6(x + 26) = 0
(x + 26) (x - 6) = 0
x + 26 = 0 or x - 6 = 0
x = -26 or x = 6
Side length of a square can not be negative
Therefore,
x = 6 inches
6 inches by 6 inches
8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answer:
Step-by-step explanation:
The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
rectangle
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
Given formula
P = 2 (w + l)
Substitute the value into the formula
36 = 2 (w + 3w - 2)
Simplify values in the parentheses
36 = 2 (4w -2)
Divide 2 on both sides
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
Add 2 on both sides
18 + 2 = 4w - 2 + 2
20 = 4w
Divide 4 on both sides
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
Which equation is the inverse of y = 16+ 1?
Choices
Answer:
d
Step-by-step explanation:
you could see it is x-1 and the the square root of 16 is 4.
Answer:
Answer is the very bottom one
Step-by-step explanation:
hope this helped ^^
