Answer:
Consistent/Independent, Inconsistent, Dependent
Step-by-step explanation:
Consistent/Independent:
Where there's only one unique solution
Inconsistent
Where there is no solution
Dependent
Where the solution is dependent
(-8, -8), slope is 3
Answer:
ok wdym by that is that a question ?
Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
[tex]\Delta=b^2-4ac[/tex]
We have:
[tex]3x^2+7x+5[/tex]
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]
Hence, the result is a negative value.
If:
The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
#13 If you sleep 32% of the year (12 months), how many months do you spend sleeping? Round your answer to the nearest tenth. *
Answer:
I think about 3.5 months or its 4 months
Step-by-step explanation:
32% is about 30% and 30% as a decimal is .3
12 * .3 = 3.6
3.6 rounded to the nearest tenth is 3.5 or 4
Correct me if I'm wrong
Finding missing angles
Answer:
60
Step-by-step explanation:
The length of a straight line is 180
To find x subtract 180 by 120
180-120=60
Employees of the store in the example Wear shirts with the logo on the back
Answer:
the logo could be kate spade
Which algebraic expression represents “the quotient of a number and thirty"?
30 + a
30a
30/a
a/30
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression
Answer:
a/30
Step-by-step explanation:
i took the test
[Insert Long, Boring, Smart, Explanation that deserves to be marked as Brainliest, and will be verified after about a year lol]
answer this if you want to be the brain list master
Answer:
3,240 / 9= 360\
360 boxes
Step-by-step explanation:
Answer:
360 boxes were used.
Step-by-step explanation:
A 7676 foot guy wire is attached to the top of an antenna. The angle between the guy wire and the ground is 68o68o. How tall (in feet) is the antenna
Answer:
70.47feet
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE
From the attachment we can see that a triangle was formed, where the
OPPOSITE SIDE= X
HYPOTENUSE=76feet
From trigonometry,
Sin(θ)=opposite/Hypotenuse
Sin(68)= X/76
Cross multiply, we have,
X= Sin(68) × 76
X= 0.9272 × 76
X= 70.47feet
Therefore, the antenna is 70.47feet tall.
i need help. Somebody help me out
Answer:
6.31 thats what I think
Answer:D
Step-by-step explanation:
how many times does 32 go into 400
Answer:
3.4
Step-by-step explanation:
9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =
Answer:
HE=11
EF=25
HF=28
DE=25
CH=14
BE=33
Step-by-step explanation:
The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
What is the centroid of a triangle?The centroid is a point in a triangle where all the three medians of the triangle intersects.
Given that, H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,
Here, BE, CF and DG are the medians of Δ BDF
We know that,
The centroid divides the medians into two parts always, ratio 2:1
And the medians divide their corresponding sides into two equal parts.
a) HE =
BH/HE = 2/1
Let HE = x, therefore, BH/HE = 22/x = 2/1
HE = 11
b) DE = DF/2 = 50/2 = 25
c) CH = (CF/3)x1 = 42/3 = 14
d) EF = DE = DF/2= 25
e) HF = (CF/3)x2 = 14x2 = 28
f) BE = HE+BH = 22+11 = 33
Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
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Each function below is a translation of the graph of the function f(x) = x^2. Match the function with the description of its relationship to the parent function.
Answer: h(x)=x^2-1: down 1
k(x)=x^2+1: up 1
m(x)=(x-1)^2: right 1
g(x)=(x+1)^2: left 1
Step-by-step explanation: just answered this question on edge 2020.
Derermine the intercepts of the line x-intercept(____,___)
Y-intercept(____,____)
Answer:
x intercept(3, 0) y intercept(0, -10)
Let Y1 and Y2 denote the proportion of time during which employees I and II actually performed their assigned tasks during a workday, The joint density of Y1 and Y2 is given by
f(y1,y2) = { y1+y2, 0<=y1<=1, 0<=y2<=1, 0, elsewhere
Required:
a. Find the marginal density function of Y1 and Y2
b. Find P(Y1 >= 1/2 | Y2 >= 1/2).
c. If employee II spends exactly 50% of the dayworking on assigned duties, find the probability that employee I spends more than 75% of the day working on similarduties.
Answer:
Step-by-step explanation:
From the information given:
The joint density of [tex]y_1[/tex] and [tex]y_2[/tex] is given by:
[tex]f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.[/tex]
a)To find the marginal density of [tex]y_1[/tex].
[tex]f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2[/tex]
[tex]=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2[/tex]
[tex]=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]
[tex]= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]
[tex]= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0[/tex]
[tex]= y_1 [1] + [\dfrac{1}{2}][/tex]
[tex]= y_1 + \dfrac{1}{2}[/tex]
i.e.
[tex]f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]
The marginal density of [tex]y_2[/tex] is:
[tex]f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1[/tex]
[tex]= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1[/tex]
[tex]=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0[/tex]
[tex]= [ \dfrac{1}{2}] + y_2 [1][/tex]
[tex]= y_2 + \dfrac{1}{2}[/tex]
i.e.
[tex]f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]
b)
[tex]P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}[/tex]
[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}[/tex]
[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}[/tex]
[tex]= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}[/tex]
[tex]= \dfrac{3}{8}}\times {\dfrac{8}{5}}[/tex]
[tex]= \dfrac{3}{5}}[/tex]
= 0.6
(c) The required probability is:
[tex]P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}[/tex]
[tex]= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}[/tex]
[tex]= \dfrac{0.34375}{1}[/tex]
= 0.34375
Which of the following is equivalent to (2a+1)(2a+1)?
O (2a + 1)2
O 4a + 2
O 2(2a + 1)
O4a²+1
The equivalent expression is (2a + 1)².
Option (A) is correct.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.
As per the given data in the question:
We are given an expression, and we have to find out the equivalent expression from the given options in the question.
The expression is (2a + 1)(2a + 1)
For option (A). (2a + 1)²
In (2a + 1)(2a + 1) using associative multiplication.
= 2a.2a + 2a + 2a + 1
= 4a² + 4a + 1
Using the identity: a² + 2ab + b² = (a + b)²
4a² + 4a + 1 = (2a + 1)²
The equivalent expression is (2a + 1)².
Hence, The equivalent expression is (2a + 1)².
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Brandon opened a credit card at a department store with an APR of 14.99% compounded monthly. What is the APY on this credit card? A. 1.25% B. 29.98% C. 16.06% D. 19.55%
Answer:
real annual rate= 0.1606 = 16.06%
Step-by-step explanation:
Giving the following information:
APR= 14.99% = 0.1499
First, we will determine the nominal monthly rate:
Nominal monthly rate= 0.1499/12
Nominal monthly rate= 0.01249
Now, to calculate the real annual rate, we need to use the following formula:
real annual rate= [(1 + Nominal monthly rate)^n] - 1
real annual rate= [(1.01249^12) - 1]
real annual rate= 0.1606 = 16.06%
Joanne is planning her spring garden. Plants cost an average of $4.95. She will be
buying 10 plants. Which is the best estimate of how much she will spend altogether?
Answer:
49.50
Step-by-step explanation:
Answer:
Estimate: $50.00
Step-by-step explanation:
Estimate: round both numbers
$4.95 rounds up to $5.00
10 plants is rounded to 10 plants
Set up equation
$5.00 × 10 plants
Solve
$50.00 total
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 7 to 4. if there were 9339 total votes, how many no votes where there?
9514 1404 393
Answer:
3396
Step-by-step explanation:
The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...
(4/11)(9339) = 3396 . . . no votes
Edith purchased a stove for $950. It depreciates about 0.7% each year. What is the value of the stove after six years?
Answer:
i can't figure out out srry
Step-by-step explanation:
it's really hard
Answer:
maybe d
Step-by-step explanation:
please answer correctly see image bellow
4⁸
alternative form:
65536,6.5536×10⁴
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents
Answer:
3 hair colorings and 4 hair cuts
Step-by-step explanation:
The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price.
Given that,
The charges of haircut= $15 and time taken for haircut is 30 minutes,
The charges of coloring= $30 and time taken for coloring is 2 hours.
To make minimum $150 profit in 8 hours
Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.
2×x×15+1/2×(8-x)×30≤150
30x-15x+120≤150
15x≤30
x≤2
So, x=2 hours(4 haircut),
then time for coloring = 8-2 = 6 hours (3 hair color)
And amount =4×15+3×30=150
So the time for haircut is 2 hours and for coloring is 6 hours.
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frazers scores 75% in a spelling test with 40 questions, how many did he get right?
Answer:
30
Step-by-step explanation:
25% is 10 and if you multiply that by 3 to get 75% the answer is 30
Ronna needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 4,25 pints on Saturday, Hon
many more pints does she need to pick?
Answer:
8.5 I believe
Step-by-step explanation:
7 + 4 = 11
.75 + .25 = 1
11 + 1 = 12
20.5
- 12 .0
8 . 5
write the expanded form of 4(3+4x-2), please help.
4x- 2y = 8
2x + y =2
Answer:
x = 3/2 , y = -1
Step-by-step explanation:
I'm assuming that you are being asked to solve the system of equations for x and y.
given:
4x- 2y = 8 ---------------(1)
2x + y =2 -----------------(2)
We can solve this by elimination:
multiple (2) by 2, we get:
2(2x + y) =2(2)
4x + 2y = 4 ------------(3)
(1) + (3) , we get:
(4x- 2y) - (4x + 2y) = 8 + 4
8x = 12 (divide both sides by 8)
x = 12/8
x = 3/2 answer, substitute this into (2)
2(3/2) + y =2
3 + y = 2 (subtract 3 from both sides)
y = 2 - 3
y = -1 answer
Part 1) Which rate is NOT a unit rate? (Circle)
a) 1/4 inch/1 year
b) $5/3 pounds
c) $13.50/1 hour
d) 15 drops/1 liter
The answer is
B ($5/3 pounds)
Answer:
it is B
Step-by-step explanation:
it is B $5/3 pounds
Simplify.
-8 + 13
A. 5
B. -5
C. 21
Answer:
A.
Step-by-step explanation:
-8+13=5
hope this helps :3
if it did pls mark brainliest
Answer:
A. 5
Step-by-step explanation:
You can rewrite the equation as 13-8
Now that it is simpler you can solve it:
5
Hope this helps!
What is the slope of the line on the graph?
Answer:
mx plus b
Step-by-step explanation:
the slope is 1 -2
Based on 20 samples, the average resistance is 25 ohms and the sample standard deviation is 0.5 ohm. Determine the 90% confidence interval of the standard deviation of the batch. (10 points)
Answer:
90% Confidence Interval = [24.81, 25.19]
Step-by-step explanation:
From the question, our number of samples is 20, it is small because it is less than 30. Hence we use the t score confidence interval formula
= Mean ± t score × Standard deviation/√n
Mean = 25 ohms
Standard deviation = 0.5 ohms
n = 20
We find the degrees of freedom = n - 1
= 20 - 1 = 19
Using the T score table
T score for 90% confidence interval with degrees of freedom 19
= 1.729
Hence:
Confidence Interval =
= 25 ± 1.729 × 0.5/√20
= 25 ± 0.1933080767
=
Confidence Interval
25 - 0.1933080767
= 24.806691923
≈ 24.81
25 + 0.1933080767
= 25.1933080767
≈ 25.19
90% Confidence Interval = [24.81, 25.19]