Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
5 plus 5 euqals what number help
Answer:
10
Step-by-step explanation:
lol
...its 10
Step-by-step explanation:
1+1+1+1+1= 5
1+1+1+1+1= 5
5+5=10
???? Help me and I’ll mark as brainliest
Answer:
15
Step-by-step explanation:
Answer:
I believe the answer is 6.
Step-by-step explanation:
Create the f(x) function based on the table. Answer should be in function notation
Answer:
It will be
f(x)=x+4
Complete this division sentence.
763 + 23 =
r
Answer:
is it a division or addition
Step-by-step explanation:
for me the answer is 786
HELP ME PLZ
A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65
Answer:
c is the correct answer i my guest
Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?
Given:
Considering only the factors of the form x - k.
To find:
The relationship between the k values and the zeros?
Solution:
We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.
It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.
The relationship between the k values and the zeros is defined as
k values = Zeros of the function
Therefore, the k values are to zeros of the function.
(2x + y = 14
5x - y = 28
Which ordered pair represents the solution
Answer:
D (6,2)
Step-by-step explanation:
2x6+2=14 2x6= 12 12+2= 14
5x6-2=28 5x6=30 30-2=28
The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?
Answer:
Step-by-step explanation:
15×4(which is the difference in the year)=60%(this is the depreciation percent)
The value of the car in 2017=40/100×25000=$10000
what's 2+2-2-4+77 and what is the square root of the sum
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
Please help me thank you
Answer:
90
Step-by-step explanation:
90
The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128
Answer:
Hi how are you doing today Jasmine
Answer:
40 and 32 i think
Step-by-step explanation:
i did it and im pretty sure its 40 and 32
If you have 54/4 how does it equal 13.5
Answer:
I don't like mathematics
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Let 'x' be the degree measure of the first angle.Given that the degree measure of one of two complementary angles is twice that of the other.
Thus, the other angle = 2xComplementary angles
We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
Answer :A.) 30 degrees
Solution :Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64
Answer:
b?
Step-by-step explanation:
b= v16.4
a. What is the decimal for 1 trillionth of a second?
Answer:
Step-by-step explanation:
1 000 000 000 000 E12
Answer:
Step-by-step explanation:
0.000 000 000 001
i need help with this one (T_T)
What is the degree of 24x?
Answer:
one
Step-by-step explanation:
how many times larger is 2.4 x 10^8 than 6 x 10^7?
It took Davina 45 minutes to clean her room. How many seconds did it take her
Answer:
2700
Step-by-step explanation:
i think
In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)
Answer:
We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level
Step-by-step explanation:
p₀ = 12 % p₀ = 0,12
From sample p = 53/500 p = 0,106
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
p₀*n = 0,12*500 = 60
q₀ * n = 0,88 * 500 = 440
Then the binomial distribution can be approximate to a normal distribution
The significance level α = 0,05 CI = 95 %
We need to develop a one-tail test (to the left ) find p-value and compare it with α.
p(s) = ( p - p₀ ) / √ p*q /n
p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500
p(s) = - 0,014 / 0,015
p(s) = - 0,93
With this P score we find the area under the bell shape curve
p-value = 0,1762 and compare that area with α = 0,05
Then p-value > 0,05
Therefore we accept H₀
What is the value of sin {3sin^-1 (2/5)} ?
Answer:
[tex]\displaystyle \frac{118}{125}[/tex]
Step-by-step explanation:
Trigonometry
Calculate
[tex]\sin (3\sin^{-1}(2/5))[/tex]
We use the formula for the sine of triple angle:
[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]
And recall:
[tex]\sin \sin^{-1}x=x[/tex]
For this problem, we set:
[tex]x=\sin^{-1}(2/5)[/tex]
Thus:
[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]
[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]
[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]
An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm
Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7
X + 7/8 = 23/8
Please help
Answer:
x=2
Hope I helped
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
1 hundred 8 million 4 hundred 4 thousand translate
Answer:
800,004,500
Step-by-step explanation: