Answers
Answer:
Step-by-step explanation:
Givens
a1 = -70
d = -10
an = - 100
Formula
an = a1 + (n - 1)*d
Solution
-100 = -70 + (n - 1)*-10 Remove the brackets.
-100 = - 70 + -10n + 10 Combine
-100 = -60 - 10n Add 60 to both sides
-100+60 = -60+60 - 10n Combine
-40 = - 10n Divide by - 10
-40/-10 = n
n = 4
Related Questions
Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?
O 10.2
O 6.3
O 10.8
O 7.2
O 12.2
Answers
Answer:
[tex]d \approx 10.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (3, -8)
Point B (1, 2)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]Exponent: [tex]d = \sqrt{4+100}[/tex]Add: [tex]d = \sqrt{104}[/tex]Simplify: [tex]d = 2\sqrt{26}[/tex]Evaluate: [tex]d = 10.198[/tex]Round: [tex]d \approx 10.2[/tex]Answer:
10.2
Step-by-step explanation:
HELP EDG 2020!!!!
Which half of the unit circle satisfies the trigonometric inequality cos Ø >0? Assume that ø is the angle made by the
positive x-axis and a ray from the origin.
O the top half
O the bottom half
O the right half
O the left half
Answers
Answer:
the right half
Step-by-step explanation:
We know that cosine is a pair function.
This means that:
Cos(a) = Cos( -a)
We also know that:
Cos(pi) = 0
then:
Cos(-pi) = 0
pi and -pi are located in the y-axis, so from this we can know that the cosine function will be always positive on the right side, or in the left side, we can discard the other two options.
Now, we also know that cos(0) = 1.
And:
-pi < 0 < pi
So the two zeros are at the y-axis, and we know that cos(0) is positive (the angle 0 would be on the positive side of the x-axis, at the right), then all the right side must be positive.
Then the correct option is:
the right half
Answer:
C - The right half
Step-by-step explanation:
Just took the quiz on edge
it costs $2.48 for a 16 ounce jar of peanut butter and $5.44 for a 40 ounce jar. which jar is the better buy
Answers
how to do this question pls tell mme
Answers
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
please awnser use image for question
Answers
2 A
3 B
I hope this helps
Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total yearly cost for attending a public college in state and public college out of state? Check all that apply.
A - A public college out of state will have fewer transportation costs than a public college in state.
B - A public in-state college charges less for in-state tuition than for out-of-state tuition.
C - Books and fees will generally cost more at a private college than a public college.
D - Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.
E - All the extra fees besides tuition are different for in-state and out-of-state public colleges.
Answers
- A public in-state college charges less for in-state tuition than for out-of-state tuition.
- Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.
Explanation:
If Tara wants to study out of state she could face higher tuition costs; public universities generally favor their residents with lower tuition costs, contrary to the charge for students who comes from other states.
Also, if she wants to study outside the state, Tara would have to analyze the costs of a residence and food that she will have to cover if she studies outside the state. On the contrary, if she studies in the state she could live with her family and only cover the transportation costs.
hope this helps!
Answer:
D
Step-by-step explanation:
i dont know how to explain it im just rlly use to this type of math so sorry but its D. :)
0.03 + 6/10 is equal , greater or less than 0.30 +6/100
Answers
Answer: greater 6/10 is greater.
6/10=0.60
6/100=0.060.
hope this helps!
Step-by-step explanation:
write an equation that represents the relationship between
Answers
Complete Question:
Write an equation that represents the relationship between <FCB and <GBC
Answer:
m<FCB = m<GBC
Step-by-step explanation:
Given that GE is parallel to HF, and AD crosses both, thus:
<FCB and <GBC are alternate interior angles.
Alternate interior angles are congruent.
Therefore, the equation that represents the relationship between <FCB and <GBC would be:
m<FCB = m<GBC
Your income determines your credit score
true or false
Answers
Your income determines your credit score
False.
Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number?
Answers
Answer:
x+(x+4)=52
I think this is it
Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then, he cuts it into 5 equal pieces for the shelves. How long will each shelf be?
Answers
Answer:
6.25 in long
Step-by-step explanation:
31.25 in/ 5 equal segments
= 6.25
Answer: 6.25
Step-by-step explanation: multiple
How do you solve
15 3/4 ÷ 1 3/4
Answers
Answer:
15 3/4 ÷13/4
/1. 1+3×4= 36/2
Positive five can also be expressed as which of the following?
Plus 5
Negative 5
-5
Minus 5
Answers
Answer: The first one; Plus 5
Step-by-step explanation: The rest of the answers are all negative 5.
Answer:
+5
Step-by-step explanation:
What is the value of x? Enter your answer in the box.
Answers
explanation: all angles in a triangle must add up to 180°. Create an equation and solve for x:
x + 50° + 75° = 180°
x = 55°
Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)
Answers
Answer:
Step-by-step explanation:
0,1
The bulb should be placed at (1,0).
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
Suppose the equation of parabolic mirror is y² = 4ax.
The given data in the is x = 1 and y = 2
So, the value is y² = 4ax
4 = 4 a (1)
a = 1
So x = 1
and, the focus is at (x, y) is (1,0).
Learn more about parabola here:
brainly.in/question/13828215
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What makes the equation true? -3x -10 =32
Answers
Answer:
x = -14
Step-by-step explanation:
please help asap no trolls!
Answers
Oh ok what specifically?
To construct a parallel line through a point not on the line using paperfolding you can perform the ___ construction twice
Answers
Answer:
The midpoint of a segment
Is the following relation a function?
1) Yes
2) No
Answers
To figure out if the given relation is a function, we first need to know what a function is:
Function: A relation which relates the element x of set X with a single element of set Y
which means that every value of x can give only one value of y
but we can clearly see from the provided diagram that 5 has 2 possible outputs. Hence, the given relation is NOT a function
El fin de semana Mara fue con su mamá a la tienda de mascotas a comprar una
pecera. Eligió una de 40, 40 y 25 cm de altura. También compraron un filtro,
piedras de colores y plantas. Una vez que llenaron la pecera, se dieron cuenta de
que el lugar donde la colocaron no era adecuado y decidieron moverla. Pesaba
demasiado, así que la tomaron de abajo. Pero inesperadamente las paredes se
rompieron y se quedaron con la base de la pecera en las manos.
a) ¿Cuál era la capacidad de la pecera en litros?
b) ¿Por qué se rompieron las paredes y no la base?
c) Si la fuerza de la presión del agua sobre las paredes de la pecera fuera 20N, y
la superficie de la pared de 0.20m 2 , ¿cuál es la presión?
Explica y argumenta detalladamente tu solución.
Answers
Answer:104
Step-by-step explanation:
que
which signs do you have to fill in between the numbers to make this a true equation?
2802 1811 123 441 3633 ⅓ 32² 205
Answers
Answer:
Multiplication signs are filled in between the numbers to make it a true equation.
Step-by-step explanation:
In mathematics, a true equation occurs when the values on both sides of the equal sign (i.e. =) are the same. For example, 2 + 2 = 4 is a true equation; and 3 * 2 = 6 is a true equation.
For this question, multiplication signs are filled in between the numbers to make it a true equation as follows:
2802 * 1811 * 123 * 441 * 3633 * ⅓ * 32² * 205 = 69,972,637,305,761,000,000
Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).
Question 3 options:
A)
y = –3x – 1
B)
y = –3x + 5
C)
y = 3x + 5
D)
y = –1∕3x – 1∕3
Answers
Answer:
D. The m of the segment is 3, perpendicular slope is -1/3 bc their slope product is -1.
The equation of the perpendicular bisector of the segment with endpoints (1, -4) and (3, 2) is y = (-1/3)x - 1/3. The correct option is D.
How to calculate the equation of the line?To find the equation of the perpendicular bisector of a segment, we need to first find the midpoint of the segment.
The midpoint of the segment with endpoints (1, -4) and (3, 2) is:
[tex](\dfrac{(1+3)}{2} , \dfrac{(-4+2)}{2}) = (2, -1)[/tex]
Now we need to find the slope of the line passing through the two endpoints, which is:
[tex]m = \dfrac{(2 - (-4))} { (3 - 1)} = 3[/tex]
The slope of the perpendicular bisector will be the negative reciprocal of the slope of the segment. So the slope of the perpendicular bisector is:
m = -1/3
Finally, we can use the point-slope form of a line to find the equation of the perpendicular bisector, using the midpoint we found:
y - (-1) = (-1/3)(x - 2)
y + 1 = (-1/3)x + 2/3
y = (-1/3)x + 2/3 - 1
y = (-1/3)x - 1/3
Therefore, the equation of the perpendicular bisector of the segment with endpoints (1, -4) and (3, 2) is y = (-1/3)x - 1/3.
To know more about an equation of the line follow
https://brainly.com/question/15065090
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In the diagram below, the lifeguard is 5 ft. tall while sitting and the angle of elevation from the man on the diving board to the lifeguard (angle 2) is 20. How far apart are the two men? Round your answer to the nearest tenth.
1. 22.1 ft
2. 14.2 ft
3. 12.9 ft
4. 13.7 ft
Answers
Find the equation of the graphed line.
a. y = x1/2 x2
b. y = -2x-4
c. y = 4x -2
d. y = -4x = 2
Answers
You are curious whether or not the following two events meet the standard criteria in statistics for mutually exclusive events:
January sales exceeding $1 million
February sales exceeding $1 million
Which of the following conditions alone would guarantee that those two events are mutually exclusive?
a. Sales each month are statistically independent of each other.
b. Sales each month are not statistically independent of each other.
c. Available inventory prevents sales for January and February combined from exceeding $1.5 million.
d. In any given month the probability of sales exceeding $1 million is less than 50%. The expected sales in January is more than the expected sales in February.
e. None of the above.
Answers
Answer:
d. In any given month the probability of sales exceeding $1 million is less than 50%. The expected sales in January is more than the expected sales in February.
Step-by-step explanation:
The above condition about the probability of sales exceeding $1 MILLION BEING LESS THAN 50% would guarantee that.
Find the value of x that makes mll n.
150°
(3x-15)
Answers
Answer:
[tex]3x - 15 = 150 \\ 3x = 165 \\ x = \frac{165}{3} \\ x = 55[/tex]
55° is the right answer.96/8 useing distributive property
Answers
Answer:
12
Step-by-step explanation:
96/8 = 12
Please help I need this answer soon
Kiara buys a meal from a food truck that costs $12. There is an additional 8.5% tax added to her total. If she pays for the meal with a $20 bill, then which of the following represents the
change she is due?
1) $5.74
2) $6.02
3) $6.52
4) $6.98
Answers
Answer:
Your answer is Option 4) $6.98
Step-by-step explanation:
let's see
kiran buys a meal that costs= $12
an additional amount has been added = 8.5%
= $12+8.5%= $13.02 or $13.2
so $13.2 - $20= $6.98
hope it helps please do give me brainliest :D
left parenthesis negative 7 comma space 13 right parenthesis semicolon space s l o p e space equals space minus 2
Answers
Answer:
y - 13 = -2(x+7)
Step-by-step explanation:
Given
Coordinate point (-7, 13)
Slope m = -2
We can express the euation of the line in point slope form as shown;
The point slope form of the equation is expressed as;
y - y0 = m(x-x0)
x0 = -7, y0 = 13 and m = -2
Substitute;
y - 13 = -2(x-(-7))
y - 13 = -2(x+7)
Hence the required equation in point- slope form is y - 13 = -2(x+7)
What is the next number in this geometric sequence?
-3.24, 9.72,-29.16, 87.48,
A. 262.44
B. 174.96
C.-262.44
D. -174.96
Answers
Answer:
the answer is C
Step-by-step explanation: