Answer:
#6 slope is -1/2 and y intercept is 4
#8 slope is 1/3 and y intercept is -2
Step-by-step explanation:
Which inequality shows the relationship between the plotted points on the
number line?
-8
0
A. -4<-8
B. -8<-4
C. -8>-4
O D. 4<-8
Answer: if yall need the answer for this then its C
Step-by-step explanation:
Help Please I really need help!
write a possible equation for each graph. Help me please
Answer:
a. y = -x² + 2x - 8
b. y = [tex]\frac{1}{x-2}[/tex]
c. y = x³+ 3
Step-by-step explanation:
Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?
Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
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The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24
Answer:
1.41
Step-by-step explanation:
Given the table :
X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24
The standard deviation = √var(x)
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))
μ = 1.70833333
Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2
= 4.9166667 - 2.9184027663889
Std (x) = √1.9982639336111
Std (x) = 1.4135996
Std (x) = 1.41
Answer:
The Standard deviation of the random variable is 1.414.
Step-by-step explanation:
We Know,
Standard deviation= [tex]\sqrt{variance}[/tex]
Variance is given by:
[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]
Given,
[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]
[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]
[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]
[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]
[tex]= 4.9167[/tex]
So,
[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]
[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]
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How many metres and centimetres are in 3080mm
Answer:
3080mm = 3.08 meters
3080mm = 308 centimeters
Step-by-step explanation:
1 meter = 1000 mm
3080mm = 3080/1000 = 3.08 meters
1 centimeter = 10 mm
3080mm = 3080/10 = 308 centimeters
12,320 yd = how many MI
Answer:
7 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
12,320 yds
Step 2: Define conversion
1 mi = 1760 yds
Step 3: Find mi
[tex]12,320 \ yds(\frac{1 \ mi}{1760 \ yds} )[/tex] = 7 mi
Taylor had 100 pieces of Lego in her collection, but she lost 15 pieces. What
percent did she lose?
Answer:
15%
Step-by-step explanation:
Percent is (usually) out of 100. So since the unit is already 100 you can just look at how much she did lose. (^-^)
Describe the graph of y = negative x squared and compare it with the graph of y = x squared.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Step-by-step explanation:
This was the possible answer that was given :)
what is 15+15 I need help
Answer:
30
Step by step explanation:
lol
Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figure
A. ( -7,5)
B (-3 ,7)
C (2,5)
D(3,-7)
9x minus 10 = 3x + 2
What is an equation for the line that passes through the points (-2, 3) and (2, 1)
Ignore the marked answer, accidentally clicked it
From the Pythagoras's Theorem, we know that:
(Hypotenuse)² = (base)² + (perpendicular)²
We are Given:
We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)
Solving for the Hypotenuse:
replacing the variables in the Pythagoras's theorem, we get:
Hypotenuse² = (m²-n²)² + (2mn)²
Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²) [(a-b)² = a² - 2ab - b²]
Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²
Hypotenuse² = m⁴ + 2m²n² + n⁴
Hypotenuse² = (m²)² + 2m²n² + (n²)²
Hypotenuse² = (m² + n²)² [a² + 2ab + b² = (a+b)²]
taking the square root of both the sides
Hypotenuse = m² + n²
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
Solve 8x - 2(x + 1) = 7x + 8.
The answer is
X = -10
Apologies though, I am not good at explaining.
Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?
Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
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What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6,4) and (2,0). (2 points)
Answer:
y - 4 = -0.5(x + 6)
Step-by-step explanation:
Answer:(4-,6)
Step-by-step explanation:hope this helps u i do my best to helps ever one
match each statement to the reasons for the geometric proof. Part 3
9514 1404 393
Answer:
4 1 5 3 6 2
Step-by-step explanation:
The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.
The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.
__
Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:
A - 4 (reflexive prop)
B - 1 (given)
C - 5 (ASA)
D - 3 (alt int angle)
E - 6 (the end point of the proof)
F - 2 (definition)
ANSWER PLEASE LIKE FR
Answer:
63 grams
Step-by-step explanation:
42*4+Δ = 42+ 3*Δ
168 +Δ = 42 +3Δ subtract a triangle from both sides
168+Δ-Δ=42+3Δ-Δ
168 = 42 +2Δsubtract 42 from both sides
168-42 = 2Δ
126 = 2Δ divide both sides by 2
63 = Δ
3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.
may you write the equation a little please, not to mean or anything but it would not give me the answer.
Answer:
no solution
Step-by-step explanation:
PLS HELP I WILL MARK BRAINLIEST SINCE YOIR WRITING FOR ME
Answer:
-0.5. -0.5 is to the right of -1.5
Rachel worked 2.5 hours on Monday, 3.5 hours on Tuesday, 2 hours on Thursday, and 5 hours on Saturday. She is paid $10.66 per hour. How much money did Rachel earn that week?
Answer:
$138.58
Step-by-step explanation:
You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.
Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:
10.66(2.5+3.5+2+5) = t
You would now add like terms.
10.66(13) = t
You would now multiply 10.66 and 13(total number of hours worked this week).
This would get us 138.58, or the total numnber of money Rachel earned this week.
hellpppppp please I will give brainliest
Answer:
ITS THE 2ND ONE
Step-by-step explanation:
Answer:
y = 5/4x - 1
Step-by-step explanation:
if you look at the graph you will probably be able to tell
im not trying to be me if you think
How to reduce 0.35 to the lowest term
Answer:
7/20
Step-by-step explanation:
[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]
Answer:
7/20
Step-by-step explanation:
35/5=7
100/5=20
35/100=7/20
Help please I’ll mark as brainliest!
Answer:
I think its B cause i was solving it and my answer came close to letter B
Step-by-step explanation:
i tried
CAN SOMEONE PLS HELP
Which phrase best completes this table?
Table:
(Queen Hatshepsut's Accomplishments)
* Opened trade with many other regions
* Was only the second woman to rule Egypt
* ???????????
Options to choose from for the third one :
A. Gave women the same rights as men
B. Built many roads and temples
C. Made peace with the Hittites
D. Invaded the kingdoms of Punt and Somalia
Please help me I need an answer fast!
I REALLY NEED HELP
Answer:
B built many roads and temples
please help me I asked like 2 times and no one has helped :/
Answer:
A and B are parallel.