Answer:
-2
Step-by-step explanation:
They are asking for the slope. y2-y1/x2-x1
Make a table of results for the equation
x y
5 -2(5)+1=-10+1=-9 Y1
6 -2(6)+1=-12+1=-11 Y2
-11--9=-11+9=-2
6-5=1
Average rate pf change os -2/1=-2
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
la expresión que se muestra abajo re presenta la utilidad en la producción de una nueva libreta profesional ,¿para que el valor positivo "X" la utilidad resulta igual a cero?
a)10
b)10/9
c)770/9
d)670/9
ayúdenme porfavor
Answer: a) 10
Step-by-step explanation:
Buscando en google, encuentro que la expresión es:
C(x) = 9*x^2 - 80*x - 100
Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:
9*x^2 - 80*x - 100 = 0.
Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:
a*x^2 + b*x + c = 0
Las soluciones son:
[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]
en este caso, tenemos:
a = 9
b = -80
c = -100
Entoces, las soluciones van a ser:
[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]
Entonces las dos soluciones son:
x = (80 - 100)/18 = -20/18 = -10/9
Esta solución la descartamos, pues es negativa. La otra solución es:
x = (80 + 100)/18 = 180/18 = 10
La opción correcta es a: 10
What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how to get +1.09
get marked the brainliest
mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?
Answer:
1 foot = 0.000189394 miles
Step-by-step explanation:
The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.
Since,
1 foot = 0.000189394 miles
Let us assume that the distance between the two houses is 500 feet, then;
1 foot = 0.000189394 miles
500 feet = x miles
x = 500 x 0.000189394
= 0.094697
So that for the considered example, the distance is approximately 0.095 miles.
Thus, the required conversion factor is;
1 foot = 0.000189394 miles
The factory makes boxes that each hold one candle. The boxes measure 1 inch × 1 inch × 9 inches. The factory owner makes a stack of 40 candle boxes. What is the volume of the stack?
Answer:
360 inch^3
Step-by-step explanation:
Volume of 1 box = 1 x 1 x 9 = 9 inch^3
Volume of 40 boxes = 40 x 9 = 360 inch^3
This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
Answer:
360 in
Step-by-step explanation:
L × W × H
1 × 1 ×9 = 9in
9 × 40 = 360 in
can someone help me please? the last point of the first graph ends on 6
Answer:
a) Yes
b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.
Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:
c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.
d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.
e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.
f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.
e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.
f2) x-intercept of original function: -6
g) y-intercept of the inverse function: -6
h) x-intercept of the inverse function: 4
i) y-intercept of the original function: 4
j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answer:
12
i think this correct answer
Factoring Polynomials Completely Step by step
Answer:
x(x-8)(x+8)
Step-by-step explanation:
it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64
How to do this question plz answer
Answer:
θ= 39.7° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
PLEASE HURRY ILL GIVE BRAINLEST AND 50 POINTS FOR THE CORRECT ANSWER ASAP
Answer:
m∠W is 28°
m∠X is 24°
Step-by-step explanation:
In any triangle, the measure of an exterior angle at one vertex of a triangle equals the sum of the measures of the two interior angles opposite to this vertex
In the given figure
∵ ∠WYZ is an exterior angle of Δ XYW at vertex Y
∵ ∠W and ∠X are the interior angles of Δ XYW opposite to the vertex Y
→ Use the fact above
∴ m∠WYZ = m∠X + m∠W
∵ m∠WYZ = 52°
∵ m∠X = 3y°
∵ m∠W = (4y - 4)°
→ Substitute them in the equation above
∵ 52 = 3y + 4y - 4
→ Add the like terms
∴ 52 = 7y - 4
→ Add 4 to both sides
∵ 52 + 4 = 7y - 4 + 4
∴ 56 = 7y
→ Divide both sides by 7
∵ [tex]\frac{56}{7}[/tex] = [tex]\frac{7y}{y}[/tex]
∴ 8 = y
→ Substitute y in the measures of ∠X and ∠W
∵ m∠X = 3(8)
∴ m∠X = 24°
∵ m∠W = 4(8) - 4 = 32 - 4
∴ m∠W = 28°
1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?
Answer: Strawberry
Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.
Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?
Answer:
$5,460
Step-by-step explanation:
Given that :
Loan taken = principal (p) = $10,000
Simple Interest rate (r) = 9.1% = 0.091
Interest owed at the end of 6 years = t
Simple interest = (principal * rate * time)
Interest owed = 10,000 * 0.091 * 6
Interest owed = 910 * 6
Interest owed = $5,460
The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 . The store has 90 BMX bikes . How many mountain bikes does the store have ?
Answer: 60
Step-by-step explanation:
From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .
To calculate the number of mountain bikes that the store has goes thus:
= 2/3 × 90
= 2 × 30
= 60 mountain bikes
- х= -у
6x - бу = 12
I need to find if it’s a substitution or elimination equation and step by step
Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.
- х= -у.........A
6x - бу = 12.........B
Solve A for x.
-x = - y
Divide both sides by negative 1.
Doing so, we get x = y. Plug this into B.
6x - 6y = 12
6(y) - 6y = 12
The left side becomes zero.
0 = 12 is a false statement.
Answer: There is no solution to this system of
equations in two variables.
Understand?
The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?
Answer:
1.25
Step-by-step explanation:
adding a positive to a negative it would go down to 1.25
shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.
Answer:
462 fast cars please mark brainliest
Step-by-step explanation:
descending order 20,-30,4,0,-3,10
Answer:
20,10,4,0,-3,-30
Step-by-step explanation:
what fraction is not equivalent to 9/12 A. 16/24 B. 15/20 C. 6/8 D. 24/32
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The simplified answer is 3/4. A simplifies to 2/3. B simplifies to 3/4. C simplifies to 3/4. D simplifies to 3/4. To get my answer I divided all of the fractions and saw which ones equalled .75 .
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes
Answer:
b. Every 24 minutes
Step-by-step explanation:
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.
The first step is to:
Find and list multiples of each time each neon sign blinks.
This means, we find the Multiples of 6 and 8
Multiples of 6:
6, 12, 18, 24, 30, 36
Multiples of 8:
8, 16, 24, 32, 40
The first and common multiple of 6 and 8.
Therefore, the Least common multiple [LCM(6, 8) ] = 24
Hence, they often blink at the same time every 24 minutes.
Therefore, option b.Every 24 minutes is correct.
Evaluate: f(2) if f(x) = 4 - 2x
f(2) = 0
f(2)= 2
f(2)= 4
f(2) = 8
Answer:
f(2) = 0
Step-by-step explanation:
Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x
f(2) = 4 - 2(2) = 4 - 4 = 0
Answer:
f(2) = 0
Step-by-step explanation:
Put 2 in the place of x,
f(2) = 4 - 2(2)
f(2) = 4 - 4
f(2) = 0
I need help ASAP
3k+30=95+k+2k-5
Answer:
Step-by-step explanation:
3k+30=95+k+2k-5
3k+30=100+3k
-30 -30
3k=70+3k
-3k -3k
k=70
Answer: 1 , 3 , 4 , 5
Question: Which of the following sentences are written in dialect? Check the four boxes that apply.
“It was the most thrillingist one that ever was; and so he went on a-bragging.”
“I stood by the duke at the door.”
“He will be deeply obleeged if they will mention it to their friends.”
“We are sold – mighty badly sold.”
“What they wanted was low comedy.”
“These Arkansaw lunkheads couldn’t come up.”
I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.
Answer:
1. “It was the most thrillingist one that ever was; and so he went on a-bragging
3 “He will be deeply obleeged if they will mention it to their friends.”
4.“We are sold – mighty badly sold.”
6. “These Arkansaw lunkheads couldn’t come up.”
Step-by-step explanation:
Edge-2021
The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points
Answer:
Step-by-step explanation:
Remark
Usually the statements are written from your broker's and his accountant's point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.
Debit Credit Balance
0 0
1423 1423
1423 2846
10 2836
813 2023
1223 800
None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.
Please help me im new to the site. A soda company had sales of $35,119 million in 2010 and $45,962 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear pattern.
Answer:40533.5
Step-by-step explanation:
Midpoint formula
(35113, 2010) > (X1, Y1)
(45954, 2014) > (X2, Y2)
Plug it into the midpoint formula
2 pts
Question 3
Select all parts from the expression above that represents a constant term.
-4.9
-4.9t?
1.8
22
22t
Which ones are constant terms pls help
This is due in 30 mins pls help me
Answer:
Yes, it is still a line
Step-by-step explanation:
The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line
Write 321.35 in scientific form.
Answer:
3.2135 x 10^2 if you're looking for scientific notation
Step-by-step explanation:
Solve for x. Round answer to the nearest tenth, if necessary
Answer:
x=15
Step-by-step explanation:
9²+12²=c²
81+144=c²
225=c²
√225=√c
15=c
The measure of the x is 15.
Given
The length of the base is 9 and the perpendicular is 12.
What is the Pythagoras theorem?Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
The length of the hypotenuse is x.
Therefore,
[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]
Hence, the measure of the x is 15.
To know more about Pythagoras theorem click the link given below.
https://brainly.com/question/343682