Answer:
[tex]-\frac{77}{24}[/tex]
Step-by-step explanation:
1. rewrite the equation in standard form: [tex]4\cdot \frac{3}{2}\left(y-\left(-\frac{41}{24}\right)\right)=\left(x-\left(-\frac{3}{2}\right)\right)^2[/tex]
2. find (h,k), the vertex. the vertex is [tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:-\frac{41}{24}\right)[/tex]
3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2
4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a distance p from the [tex]\left(-\frac{3}{2},\:-\frac{41}{24}\right)[/tex] y coordinate which is at [tex]-\frac{41}{24}\right)[/tex]. Set up the equation:
[tex]y=-\frac{41}{24}-p[/tex]
5. substitute and solve:
[tex]y=-\frac{41}{24}-\frac{3}{2}[/tex]
[tex]y = -\frac{77}{24}[/tex]
hope this helps, ask me questions if you still don't understand.
LOOK AT THE BOTTOM PLEASE BE RIGHT
Answer:
Translation
Step-by-step explanation:
A translation is when the triangle is moved around on the graph without it being reflected or changed in any way. I will be the same exact triangle, just with different coordinates.
Hope this helps!
HELP AGAIN
235 ≤-8(1+5x)+3
i need the steps as well
Answer:
x ≤ -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
235 ≤ -8(1 + 5x) + 3
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 3 on both sides: 232 ≤ -8(1 + 5x)[Division Property of Equality] Divide -8 on both sides: -29 ≥ 1 + 5x[Subtraction Property of Equality] Subtract 1 on both sides: -30 ≥ 5x[Division Property of Equality] Divide 5 on both sides: -6 ≥ xRewrite: x ≤ -6Step-by-step explanation:
To solve for x, make sure you move everything else to the other side of the ≤ sign.
So,
[tex]235\leq -8(1+5x)+3\\232\leq -8-40x\\240\leq -40x\\-6\geq x[/tex]
* Remember that the sign changes anytime you divide by a negative number!
So your answer is:
[tex]x\leq -6[/tex], x is less than or equal to -6.
for a science fair project javier is recording the amount of water that evaporate from a bucket in a month he creates a table like this i will give point for the best answer
week 1 2/16 inch
week 2 1/16 inch
week 3 3/16 inch
week 4 2/16 inch
how much water had evaported from the bucket at the end of week 2
what was the total amount of water that evaported in the four weeks
if javier orignally put 4 inches of water in the bucket how many inches of water were left after the experment was completed
Answer: [tex]\dfrac{3}{16},\ \dfrac{1}{2}, \dfrac{7}{2}\ \text{inch}[/tex]
Step-by-step explanation:
Given
Javier created a table for the amount of water evaporated in each week
After two weeks, the amount of water evaporated is
[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}\\\\\Rightarrow \dfrac{2+1}{16}=\dfrac{3}{16}\ \text{inch}[/tex]
Total amount of water evaporated in four weeks is
[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}+\dfrac{3}{16}+\dfrac{2}{16}\\\\\Rightarrow \dfrac{2+1+3+2}{16}=\dfrac{8}{16}\\\Rightarrow \dfrac{1}{2}\ \text{inch}[/tex]
If Javier originally puts 4 inches of water, amount of water left in the bucket
[tex]\Rightarrow 4-\dfrac{1}{2}\\\\\Rightarrow \dfrac{4\times 2}{2}-\dfrac{1}{2}\\\\\Rightarrow \dfrac{8-1}{2}=\dfrac{7}{2}\ \text{inch}[/tex]
What is the value of q?
2/5
2/14
Answer:
2√14 prob I'm not 100% sure
Juan and Lizette rented a car for one week to drive from Phoenix to Boise. The car rental rate was $250 per week and $0.20 per mile. By the most direct route, the drive is 926 miles. How much did they spend on the rental car?
( solution at pic)
what is the slope of the line plotted below?
Answer:
A, or 0.5
Step-by-step explanation:
1. BasicsSlope formula: Rise/run
([tex]y[/tex]₂[tex]-y[/tex]₁)/([tex]x[/tex]₂[tex]-x[/tex]₁)
2. SolvingPoints: (-4,-4), and (2,-1)
Let's say that (-4,-4) is the first point, and (2,-1) is the second. It doesn't really matter which ones we choose.
[tex]\frac{-1-(-4)}{2-(-4)}[/tex][tex]=\frac{3}{6}=\frac{1}{2} = 0.5[/tex]
A
Hope this helped! Please mark brainliest :)
You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number.
Answer:
[tex]37 \frac{7}{12}[/tex] inches.
Step-by-step explanation:
Let's start by converting all of these mixed numbers to improper fractions to handle them a little better.
56 × 4 = 224 ⇒ 224 + 1 = [tex]\frac{225}{4}[/tex]
18 × 3 = 54 ⇒ 54 + 2 = [tex]\frac{56}{3}[/tex]
So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.
225 × 3 = 675
56 × 4 = 224
[tex]\frac{675}{12} - \frac{224}{12}[/tex] = [tex]\frac{451}{12}[/tex]
[tex]\frac{451}{12} = 37 \frac{7}{12}[/tex]
So, the answer is [tex]37 \frac{7}{12}[/tex] inches.
Plzzzz Help
The cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
In this situation, what is the domain of this function?
Answer:
180
Step-by-step explanation:
Given the cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
To get the domain of the function, substitute C(x) =2100 and find x
2100 = 10x + 300
10x = 2100 - 300
10x = 1800
x = 1800/10
x = 180
Hence the domain of the function is 180
My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variable on these? I am stumped!!
1) In 10 years, Sara will be 81 older than she is now. How old is Sara now?
2) In 8 years, Sara will be 49 years older than she is now. How old is Sara now?
3) In 11 years, Bob will be 100 years than he is now. How old is Bob now?
Answer:
1 71years
Step-by-step explanation:
x+10=81
x=71
2. x+8=49
x=41
3. x+11=100
x=99
PLEASE HELP ASAP! What is the value of x in the inequality start fraction seven plus two x over five end fraction minus three less than x ?
A. x greater than negative start fraction eight over three end fraction
B. x less than negative start fraction eight over three end fraction
C. x greater than start fraction eight over three end fraction
D. x less than negative start fraction three over eight end fraction
Answer:
A
Step-by-step explanation:
the first one in the picture
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. text({)1, 1/4, 1/16, 1/64, 1/256, ... text(})
Answer:
[tex]T_n = \frac{1}{4^{n-1}}[/tex]
Step-by-step explanation:
Given
[tex]({)1, 1/4, 1/16, 1/64, 1/256, ... (})[/tex]
Required
The general term
The given sequence is geometric.
So first, we calculate the common ratio (r)
[tex]r = T_2/T_1[/tex]
So, we have:
[tex]r = 1/4 \div 1[/tex]
[tex]r = 1/4[/tex]
The function is then calculated using:
[tex]T_n =T_1 * r^{n-1}[/tex]
This gives
[tex]T_n =1 * 1/4^{n-1}[/tex]
[tex]T_n = \frac{1}{4^{n-1}}[/tex]
Can someone help and explain this to me ,much appreciated thankyouuu
Answer:
A. 2x + 1
Step-by-step explanation:
f(x) = 2x + 7
g(x) = x - 3
To find f(g(x)), substitute x = x - 3 into f(x) = 2x + 7
Thus:
f(g(x)) = 2(x - 3) + 7
f(g(x)) = 2x - 6 + 7
Add like terms
f(g(x)) = 2x + 1
The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total amount due at time T
Answer:
The total amount due after five years is $57,000.
Step-by-step explanation:
Recall that simple interest is given by the formula:
[tex]\displaystyle A=P(1+rt)[/tex]
Where A is the final amount, P is the principal amount, r is the rate, and t is the time (in years).
Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, P = 38000, r = 0.1, and t = 5. Substitute:
[tex]\displaystyle A=38000(1+(0.1)(5))[/tex]
Evaluate. Hence:
[tex]\displaystyle A=\$ 57,000[/tex]
The total amount due after five years is $57,000.
Which choice is equivalent to √10*√5?
A. 5√2
B. 25√2
C. 5√10
D. 2√5
Answer: [tex]5\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{10} *\sqrt{5} =\sqrt{50} =\sqrt{2*5*5} =5\sqrt{2}[/tex]
A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 6 .
Answer:
P=1
Step-by-step explanation:
P(even or less than 6) = P(even)+P(less than 6) -P(even ∩ less than 6)
P(even)=3/6 (numbers 2,4, and 6)
P(less than 6) =5/6 (numbers 1,2,3,4, and 5)
P(even ∩ less than 6)=2/6 (numbers 2 and 4)
(3/6)+(5/6) -(2/6) = (3+5-2)/6 = 6/6=1
???????????????????????????
Answer:
y-(-20)=1(x-(-10))
Step-by-step explanation:
If you're really in college you should know this, but here's the explanation:
m= -9-(-20)
1-(-10)
= 11
11
m = 1
The equation is y-y^1=m(x-x^1)
Replace the y^1, m, and x^1 from the first point
You get y-(-20)=1(x-(-10))
Or simplify that into y+20=x+10
You can also simplify it more but I don't think you need that for that question
The quadratic function f(x) = -x2 - 6x - 8 is graphed.
What are the solutions of the quadratic equation 0 =
x2 - 6x - 8?
Ту
2
O 2 and 4
0-2 and 4
0-2 and 4
O: 2 and 4
6 5 A
-3
-1
X
-2
ون
Answer:
-2 and -4
Step-by-step explanation:
When the quadratic equation equals 0, that means when y = 0.
By looking at the graph, whenever y = 0 is when the graph crosses the x-axis.
The graph crosses the x-axis at only two points:
(-4, 0) and (-2, 0)
So the solutions to the graph when -x^2 - 6x - 8 equals 0 is -2 & -4.
Hope it helps (●'◡'●)
Answer:
-2 and -4
Step-by-step explanation:
if you'll notice the function goes through the x axis at -2 and -4
A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 3.
Answer:
0.2209 = 22.09% probability that in a randomly selected office hour, the number of student arrivals is 3.
Step-by-step explanation:
We have the mean during an interval, so the Poisson distribution is used.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive.
This means that [tex]\mu = 3.3[/tex]
Find the probability that in a randomly selected office hour, the number of student arrivals is 3.
This is P(X = 3). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-3.3}*3.3^{3}}{(3)!} = 0.2209[/tex]
0.2209 = 22.09% probability that in a randomly selected office hour, the number of student arrivals is 3.
12. A professor creates a boxplot of test scores for 26 students in a statistics course. What percentage of students scored above 81
Answer:
25%
Step-by-step explanation:
Based on the boxplot given ;
The boxplot can be summarized as follows :
Lower quartile, Q1 = 50 (starting point of the box)
Median (Q2), 50th percentile = 70 (vertical line in between the box)
The upper quartile marks the 75th percentile, Q3 = 81 (end point of the box)
The total distribution is 100% and hence, the percentage above the score 81 will be :
100% - 75% = 25%
Find the surface area and volume of the solid given the figure below
Answer:
Volume - 582.8848178 cm cubed
Step-by-step explanation:
Volume - to fine the volume start with the cone...
The formula is 1/3 pi r^2h
so for this problem it would be
1/3 * 3.14 * 26.01 * 11.2
so your answer would be...
305.061213 cm cubed
Your next step is to find the volume of the dome. to do that the formula is (4/3 pi r^3)/2
so for this problem it would be
(4/3 * 3.14 * 132.651)/2
so your answer would be...
277.8236048 cm cubed
Finally you add together those 2 volumes and get 582.8848178 cm cubed as your final answer.
Which of the following is not true?
Answer:
C. m<c = 140°
Step-by-step explanation:
Let's analyse each of the given options:
A. m<a = 140° is TRUE
Rationale: angle a and 140° are vertical angles. Vertical angles are congruent.
B. m<b = 140° is TRUE.
Rationale: angle a and 140° are alternate interior angles. Alternate interior angles are congruent.
C. m<c = 140° is NOT TRUE.
Rationale: angle c and 140° are same side interior angles. Same side interior angles are supplementary.
D. m<d = 140° is TRUE.
Rationale: angle d and 140° are corresponding angles. Corresponding angles are congruent.
14 Calculate the mode from the following data: 7,8, 6, 5, 10, 11, 4, 5,2 b. 5: а. 3.' 4 6 с. d: 6
MODE IS THE NUMBER THAT IS REPEATED THE HIGHEST TIME..
HERE, IN YOUR QUESTION 5CAME 2 TIMES i.e. it is repeated highest time .so mode=5....
Points A, B and C are collinear . Point B is between A andSolve for given the following
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]AC = 3x +3[/tex]
[tex]AB = -1+2x\\[/tex]
[tex]BC =11[/tex]
Required
Find x
We have:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]3x + 3 = -1 + 2x + 11[/tex]
Collect like terms
[tex]3x - 2x = -1 + 11 - 3[/tex]
[tex]x = 7[/tex]
Hellooo can you please help me on this
Answer:
0 = 0
1 = 4
2 = 8
Step-by-step explanation:
So you multiply x by 4 to get y. Your first column is x. So you multiply those numbers by 4 to get y.
Answer:
0
4
8
Step-by-step explanation:
y = 4x
Substitute each x into equation to get y
y = 4(0)
y = 0
A cardboard box without a lid is to have a volume of 4,000 cm3. Find the dimensions that minimize the amount of cardboard used. (Let x, y, and z be the dimensions of the cardboard box.)
Please give me a 100% correct answer
A ship sailed 30 kilometers in 172 hours. What was its rate in kilometers per hour?
(1) 20
(2) 30
(3) 45
(4) 90
(5) Not enough information is given.
Answer:
See edit
A 20 km / hour
Step-by-step explanation:
The exact answer is 30 km / 172 which is less than 1 km / hr. Since that answer isn't offered, I suspect there is something wrong with the question. If there is a decimal after the 1 in 172 you would get 17.44 km / hr. That's roughly A.
If the decimal is not there, I think you should either resubmit the question or answer A.
Edit
The note said (below) that the ship went 30 km in 1 1/2 hours.
Rate = distance / time
distance = 30 km
time = 1 1/2 hours = 1.5 hours
rate = 30 / 1.5 = 20 km / hr
Which division problem does the diagram below best illustrate?
A diagram with 8 ovals containing 4 squares each.
O 16 divided by 4 = 4
O 32 divided by 4 = 8
O 36 divided by 4 = 9
O 8 divided by 2 = 4
Answer:
The answer is 32 divided by 4
Step-by-step explanation:
Because in each box there is 4. There are 8 ovals all together. So 8×4, you get 32 and divide it by the number of squares in an oval which is 4
Answer:
the answer is 32 divided by 4=8
Step-by-step explanation:
because when you look at the ovals there's eight ovals and in side there's four squares..
HOPE THIS HELPS!!!!!
use the discriminant to determine the number of solutions to the quadratic equation −6z2−10z−3=0. What are the real solutions and complex solutions?
Answer:
Step-by-step explanation:
-6z²-10z-3=0
multiply by -1
6z²+10z+3=0
disc .=b²-4ac=10²-4×6×3=100-72=28≥0
also it is not a perfect square.
so roots are real,irrational and different.
[tex]z=\frac{-6 \pm\sqrt{28} }{2 \times 6} \\=\frac{-6 \pm 2 \sqrt{7}}{12} \\=\frac{-3 \pm\sqrt{7} }{6}[/tex]
help me please ineed your help
An urn contains 2 small pink balls, 7 small purple balls, and 6 small white balls.
Three balls are selected, one after the other, without replacement.
Find the probability that all three balls are purple
Express your answer as a decimal, rounded to the nearest hundredth.
Answer:
The probability is P = 0.08
Step-by-step explanation:
We have:
2 pink balls
7 purple balls
6 white balls
So the total number of balls is just:
2 + 7 + 6 = 15
We want to find the probability of randomly picking 3 purple balls (without replacement).
For the first pick:
Here all the balls have the same probability of being drawn from the urn, so the probability of getting a purple one is equal to the quotient between the number of purple balls (7) and the total number of balls (15)
p₁ = 7/15
Second:
Same as before, notice that because the balls are not replaced, now there are 6 purple balls in the urn, and a total of 14 balls, so in this case the probability is:
p₂ = 6/14
third:
Same as before, this time there are 5 purple balls in the urn and 13 balls in total, so here the probability is:
p₃ = 5/13
The joint probability (the probability of these 3 events happening) is equal to the product between the individual probabilities, so we have:
P = p₁*p₂*p₃ = (7/15)*(6/14)*(5/13) = 0.08