Answers
Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
Related Questions
4) Divide x^4 – 14x^2 + 45 by (x - 3)
Answers
Answer:
Ok 9-8=1 times 2 = 2
Step-by-step explanation:
Answer:
x^3−5x+3x^2−15
Step-by-step explanation:
Common math
Solve 5.408 − 1.07
pls answer
Answers
Answer: 4.338
Step-by-step explanation: Calculator
A group of 80 people who had been diagnosed as prediabetic because of high blood glucose levels volunteered to participate in a study designed to investigate the use of cinnamon to reduce blood glucose to a normal level. Of the 80 people, 40 were randomly assigned to take a cinnamon tablet each day and the other 40 were assigned to take a placebo each day. The people did not know which tablet they were taking. Their blood glucose levels were measured at the end of one month. The results showed that 14 people in the cinnamon group and 10 people in the placebo group had normal blood glucose levels. For people similar to those in the study, do the data provide convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon?
a. No conclusion can be made about the use of cinnamon because the people in the stuey were volunteers
b. There is convincing statistical evidence at the level of 0.01
c. There is convincing statistical evidence at the level of 0.05 but not at the ver.01
d. There is convincing statistical evidence at the level of 0.10 any reason
e. There is not convincing statistical evidence
Answers
Answer:
E
Step-by-step explanation:
AP Classroom says so.
The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to calculate the value of z-test statistic for two sample proportions?Suppose we have:
[tex]\hat{p}_1[/tex] = first sample's proportion[tex]n_1[/tex] = first sample's size[tex]\hat{p}_2[/tex] = second sample's proportion[tex]n_2[/tex] = first sample's size[tex]\hat{p}[/tex] = overall proportionThen, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}[/tex]
If the level of significance = [tex]\alpha[/tex]critical value of Z is: [tex]Z_{\alpha/2}[/tex], and if [tex]Z > Z_{\alpha/2}[/tex]null hypothesis, else if [tex]Z_{\alpha/2} > Z[/tex] then we cannot reject it.
For this case, we want to know if the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.
Thus, we get our hypotheses as:
Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:
[tex]H_0: \hat{p}_1 \leq \hat{p}_2[/tex]
Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:
[tex]H_a: \hat{p}_1 > \hat{p}_2[/tex]
The test is single tailed.
For this case, we have:
[tex]x_1[/tex] = quantity of intended object found in first sample = 14 (of those who take cinnamon tablets each day)[tex]n_1[/tex] = first sample's size = 40[tex]\hat{p}_1 = x_1/n_1 = 14/40 =0.35[/tex] [tex]x_2[/tex] = quantity of intended object found in second sample = 10 (of those who take placebo each day)[tex]n_2[/tex] = second sample's size = 40[tex]\hat{p}_2 = x_2/n_2 = 10/40 =0.25[/tex][tex]\hat{p}[/tex] overall proportion = [tex](x_1 + x_2)/(n_1 + n_2) = (10 + 14)/80 = 0.3[/tex]Thus, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976[/tex]
At 0.01 level of significance ([tex]\alpha = 0.01 = 1\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 2.576[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01
At 0.05 level of significance ([tex]\alpha = 0.05 = 5\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.96[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05
At 0.10 level of significance ([tex]\alpha = 0.10 = 10\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.645[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10
Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.
Thus, we deduce that: Option E: There is not convincing statistical evidence
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ARITHMETIC SEQUENCES, what comes next after -2/25? I will Mark you as BRAINLIEST pls help
Answers
Answer:
26/5
Step-by-step explanation:
an=a1+(n-1)d
d is common difference
so,
2/5- (-2)=12/5
putting values in above formula
=-2+(4-1)(12/5)
=-2+3(12/5)
=-2+(36/5)
=26/5
Two interior angles of a
trapezoid measure 100
degrees and 80 degrees
respectively. If the other two
angles are congruent, what is
the measures of the two
angles?
Answers
Answer:
100 and 80
Step-by-step explanation:
Congruent means the same, so the other 2 angles are the same as 80 and 100
work out the value of x.
Answers
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
If you know the answer your a genius at math^
Answers
Answer: I think its B
Step-by-step explanation: hoped this helped :)
What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answers
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answers
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
Write the equation for the function g(x), which can be described as a
vertical shift 13 units up from the function f(x) = In x –1
Answers
Answer:
Step-by-step explanation:
When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value. Put in simpler language, for this question, the equation becomes.
g(x) = f(x) + 13
And the solution is
g(x) = ln(x) - 1 + 13
g(x) = ln(x) + 12
Find an equation of the line that bisects the acute angle formed by the graphs of negative 5X plus 7Y +4 equals zero and 7X minus 5Y +6 equals zero
Answers
Answer:
Step-by-step explanation:
x+ y = 0
and
-2x + 5y + 2 = 0
Step-by-step explanation:
given line
3x+5y+2=0
5x+3y-2=0
solution
when two line bisect each other then line equation of bisector is express as
1
and here
A1 = 3
B1 = 5
C1 = 2
and
A2 = 5
B2 = 3
C2 = -2
so now put value in equation 1 we get
solve it we get
-2x + 5y + 2 = 0 1
and
3x+5y+2 = - ( 5x+3y-2 )
solve it we get
8x + 8y = 0
x + y = 0 2
Answer: D -12x +12y -2 =0
Step-by-step explanation:
Edge 2021
Write the equation of the following circle in general form and standard form. Show your work.
Answers
Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
f(x)= -2x^2+3x-7, calculate the average rate of change on the interval [1, 1+h]
Answers
Answer:
[tex]Rate = -2h-1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]Interval: [1,1+h][/tex]
Required
The average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex][a,b] = [1,1+h][/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
Calculate f(1+h) and f(1)
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]
[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]
Evaluate squares and open bracket
[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]
[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]
[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]
Collect like terms
[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]
[tex]f(1+h) = -2h^2-h-6[/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h}{h}[/tex]
Factorize the numerator
[tex]Rate = \frac{h(-2h-1)}{h}[/tex]
Divide
[tex]Rate = -2h-1[/tex]
no links please or you will be reported .
Answers
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
Point A is shown on the the number line below.(The picture I attached)
Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A. What could be the position of point b?
(A) - 1 1/2
(B) -1
(C) 2 1/2
(D) 3 1/2
(D)
Answers
Answer:
-1 is the correct answer
Step-by-step explanation:
Move that many points on the number line
The position of B on number line is at - 1.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Point A is shown on the the number line below.
And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.
Now,
Since, The position of Point A = 1 1/2
And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.
So, The point B = 1 1/2 + (-2 1/2)
= 3/2 - 5/2
= - 2/2
= - 1
Thus, The position of point B = - 1
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SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answers
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
(m+2)^2=27
solve by square root property
when i did it i got: m=±√27-4
is that correct?
Answers
Answer:
Yes, that's correct
Step-by-step explanation:
The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?
Answers
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
Please help! This is due today!
Answers
te amo vato de arriba, ojalá y algún día seas mi novio y me mandes la visa y unos cuantos dólares pa'l frí fayer y comprarme más cosas de marca :"3
en fin... nunca me vas a hacer caso :")
girl name are April, may, June, what is the name the mother?
Answers
mary is the 4th childs nam,e
What is the sum of just the fraction parts of 1 5/8 and 1 6/8?
Answers
Answer:
Just the fraction parts: 11/8 or 1 3/8
Step-by-step explanation:
1 5/8 + 1 6/8 = 3 3/8
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Complete the point-slope equation of the line through (-9,6) and (−7,−8)
y−6=
Answers
Answer:
its 9 :)
Step-by-step explanation:
hkjgh
What is the first step to figure out the solutions for x in the following equation?
|x - 3| +2=6
Answers
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...
Answers
Answer:
It's geometric and common difference is 3
Step-by-step explanation:
15/5=3
45/15=3
Answer:
its geometric and the common ratio is 3
Step-by-step explanation:
i will mark brainliest please help
A- less than -5
B- less than or equal to -5
C- Greater than -5
D- Greater than or equal to -5
Answers
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients Standard Error t Stat p-value Intercept −0.81 0.36 −2.25 0.0293 x 2.94 1.20 2.45 0.0182 d1 −13.00 16.25 −0.80 0.4278 d2 5.52 1.50 3.68 0.0006 a. Compute yˆ for x = 262, d1 = 1, and d2 = 0; compute yˆ for x = 262, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) yˆ x = 262, d1 = 1 and d2 = 0 x = 262, d1 = 0 and d2 = 1
Answers
Answer:
The answer is "789.03 and 806.16".
Step-by-step explanation:
[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]
For point a:
Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]
[tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]
For point b:
Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]
[tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]
Convert. (13/5) into a mixed number.
Answers
Answer:
2 3/5 :)
Step-by-step explanation:
NEED HELP WITH THIS QUESTION
Answers
I believe I subtracted the asset sum by liability.
julie wants to invest $3,000 into
a mutual fund that pays 7%
interest for 10 years. suppose
the interest were compounded
monthly instead of annually.
how much would the future
value of the investment
increase?
Answers
Answer:
$400
Step-by-step explanation:
The future value of the investment increase will be $6,028.98.
What is compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given:
P = $3000
R = 7%
T = 10 years
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]
A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]
A = $6,028.98
Hence, the future value will be $6,028.98.
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3.
At time t = 0 years, a forest preserve has a population of 1500
deer. If the rate of growth of the population is modeled by
R(t) = 2000e0.231 deer per year, what is the population at time
t=3.
Answers
The population of deer at time t=3 years is approximately 4128 deer.
What is an exponential function?An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a positive constant called the base, and x is the input variable. The exponent x represents the power to which the base a is raised.
The rate of growth of the deer population is given by the function [tex]R(t) = 2000e^{(0.231t)}[/tex], where t is the time in years since t=0.
To find the population at time t=3, we need to evaluate R(3) using the given function:
[tex]R(3) = 2000e^{(0.231\times 3)[/tex]
[tex]R(3) = 2000e^{0.693}[/tex]
R(3) ≈ 4127.72
Therefore, the population of deer at time t=3 years is approximately 4128 deer.
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