g (x) = -√(x + 4) -1
x = -5. g(x)= -√(-1) - 1
x = -4. g(x) = 0 - 1 = -1
x= -3. g(x) = -√(1) - 1= -2
x= 0. g(x) = -√(4) - 1= -3
x= 5. g(x) = -√(9) -1= -4
PART 2
FIND Domain and Range of g(x)
Domain of g(x) = All real,rational irrational numbers ≥ -4
Range of g(x) = All numbers ( real, rational,irrational) ≤ -1
Math question....................
\(alternative \: interior \: angles\)
<4 and <6
\(alternative \: exterior \: angles\)
<1 and <7
\(corresponding \: angles\)
<1 and <5
for which functions f ' (x) is equal to f^-1 (x)
Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal cord C. brain . . . umbilical cord D. spinal cord . . . umbilical cord Please select the best answer from the choices provided
Answer:
B.
brain . . . spinal cord
Step-by-step explanation:
Neural tube defects are birth defects of the brain and spinal cord. which is the correct answer would be an option (B).
What are neural tube defects?The neural tube is a structure that forms early in fetal development and gives rise to the brain and spinal cord. Neural tube defects are a type of birth defect that can occur when the neural tube does not form properly, leading to defects in the brain and spinal cord. These defects can be serious and can cause a range of symptoms, depending on the specific type of defect. For example, Anencephaly is a catastrophic birth condition that occurs when a newborn is born lacking portions of the brain or spine.
Thus, the required fill-in-the-blanks are the "brain" and "spinal cord". which is the correct answer that would be option (B).
Hence, neural tube defects are birth defects of the brain and spinal cord.
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i still need help finding angle 1 and 2
Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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Janet deducted $5 on Monday and another $6 dollars on Tuesday from her savings account. Write an expression that represents the change in her account balance after the deductions. How much money did Janet deduct?
Answer:
30
Step-by-step explanation:
5x6=30 so the change was that she deducted money in her account balance.
HELP ME OUT PLS!!!!!!!!!
Which purchase are people most likely to regularly save a small amount of money for, and then let the value grow over time?
A) going to the movies
B) retirement
C) buying audiobooks
D) going to a concert
Answer:
B) retirement
Step-by-step explanation:
Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.
Hope this helps!!
Question 8 of 10
If an 11-day single payment loan has a periodic interest rate of 9.3%, what is
the approximate effective interest rate of the loan?
A. 1812.0%
B. 19,120.0%
C. 18,120.0%
D. 1912.0%
The approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).
How to find interest rate?The formula for converting periodic interest rate to effective interest rate is
\($$(1+i_{eff})=(1+\frac{r}{m})^m$$\)
where \($i_{eff}$\)is the effective interest rate, r is the periodic interest rate, and m is the number of compounding periods in a year.
In this case, the loan has a single payment period of 11 days. To find the effective interest rate, we need to convert the periodic interest rate to an annual rate. There are different ways to do this, but one common method is to assume that a year has 365 days and use the following formula:
\($$i_{eff}=(1+\frac{r}{365})^{365/t}-1$$\)
where t is the time period in days.
Using this formula, we have:
\($$i_{eff}=(1+\frac{0.093}{365})^{365/11}-1\approx 0.1912$$\)
Therefore, the approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).
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you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
Help I need help with this now
The volume of the rectangular prism is 90 units³
We have,
The figure shown has the dimensions:
L = Length = 5 units
W = Width = 6 units
H = Height = 3 units
Now,
The volume of the rectangular prism.
= L x W x H
= 5 x 6 x 3
= 90 units³
Thus,
The volume of the rectangular prism is 90 units³
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Find the missing side
By using trigonometry, the missing sides are
Example 1: x = 16.7
Example 2: x = 3.2
Example 3: x = 23.5
Example 4: x = 9.3
Trigonometry: Determining the values of the missing sidesFrom the question we are to determine the value of the missing sides in the given triangles
We can determine the value of the missing sides by using SOH CAH TOA
Example 1
Angle = 42°
Opposite side = x
Hypotenuse = 25
Thus,
sin (42°) = x / 25
x = 25 × sin (42°)
x = 16.7
Example 2
Angle = 75°
Opposite side = 12
Adjacent side = x
Thus,
tan (75°) = 12 / x
x = 12 / tan (75°)
x = 3.2
Example 3
Angle = 36°
Hypotenuse side = x
Adjacent side = 19
Thus,
cos (36°) = 19 / x
x = 19 / cos (36°)
x = 23.5
Example 4
Angle = 53°
Opposite side = x
Adjacent side = 7
Thus,
tan (53°) = x / 7
x = 7 × tan (53°)
x = 9.3
Hence,
The missing sides are 16.7, 3.2, 23.5 and 9.3
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
angle klj and angle poq :)
Step-by-step explanation:
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
The perimeter and the area of the rectangle is as follows:
perimeter=182 cm
area=2028cm².
What is a rectangle?A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.
The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:
Rectangular Area = (l x w)
The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).
Formula for the Perimeter of a Rectangle: 2 (Length + Width)
Now in the question given,
Length of the rectangle = 8cm.
Width of the rectangle = 6cm.
So, original perimeter=2 × (8+6) +28 cm and
original area=8 × 6= 48 cm²
Now the scale factor = 6.5
New length = 8 × 6.5 = 52cm
width = 6 × 6.5 = 39cm.
New perimeter = 2(52+39) =182 cm.
New area = 52 × 39 = 2028cm².
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The complete question is:
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
fred explained to his friend nicole 5x8/6 is the step it takes to multiply 5/8 x 6 a fraction by a whole number. is fred correct?
explain your reasoning.
Answer:
no fred is not correct
Step-by-step explanation:
so u say
5/8×6/1
then u say 5×6=30
then u say 8×1=8
then u say 30÷8= 3.75
so yr answer is =3.75
hope u understand
A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
Find the angle represented by x (rounded to the nearest tenth of a degree).
A)32.6°
B)36.4°
C)37.8°
D)38.7°
Answer:
Option (D)
Step-by-step explanation:
By applying sine rule in the triangle shown,
Since, \(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
By this rule,
\(\text{sinx}=\frac{\text{5000}}{8000}\)
x = \(\text{sin}^{-1}(\frac{5}{8})\)
x = \(\text{sin}^{-1}(0.625)\)
x = 38.682°
≈ 38.7°
Therefore, Option (D) is the correct option.
Write these fractions as percentage 2/3
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
hope this helps!
please give brainliest!
Geometry this equation is killing me
5/BE = 3/2
3BE = 5 × 2
3BE = 10
BE = 10/3
BE ≈ 3.33
Question 3 of 10
Which of the following shows the polynomial below written in descending
order?
5x3x+9x7+4+3x11
OA. 9x² + 5x³+4+3x¹¹ - x
OB. 3x¹¹ +9x7 + 5x³ − x + 4
OC. 3x¹1 +9x7-x+4+5x³
D. 4+ 3x¹¹+
D. 4+ 3x¹1 +9x7 + 5x³ - x
Answer:
B. 3x¹¹ +9x⁷ +5x³ −x +4
Step-by-step explanation:
You want to identify the polynomial that has terms written in descending order of their degree.
DegreeThe degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.
When these are put into descending order, that order is ...
11, 7, 3, 1, 0
Standard formThe answer to this question will be the polynomial with terms written in the order of their degree as shown above:
3x¹¹ +9x⁷ +5x³ −x +4
__
Additional comment
When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.
<95141404393>
What is the inverse f(x)=1/3x+2
Triangle ABC has vertices  A (0,2), B (4,4), and C (-1,4). What are the vertices of its image with a scale factor of 4
A(0,8); B(16,16) and C(-4,16) are the vertices of triangle ABC with a scale factor of 4.
Given,
Coordinates of triangle ABC are A(0,2), B(4,4) and C(-1,4)
scale factor=4
if scale factor is 'k' then the coordinates (x,y) of any figure are scaled to (kx,ky).
Formula:
Dimension of scaled figure= Dimension of original figure * scale factor.
Let,
k=4
vertices of scaled triangle ABC be A(kx,ky), B(kx,ky) and C(kx,ky).
From formula,
\(A(kx,ky)= A(4*0,4*2) =A(0,8)\\ B(kx,ky)= B(4*4,4*4) =B(16,16)\\ C(kx,ky)= C(4*(-1),4*4) =C(-4,16)\)
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2x/3 divided by 3x/2 if x does not equal 0
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
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i will give brainiest! i have to turn this in tonight please hurry.
9514 1404 393
Answer:
(c) 24 minutes
Step-by-step explanation:
The rate of working problems differs by ...
(1 problem)/(1.5 minutes) - (1 problem)/(2 minutes)
= (2/3 -1/2) problems/minute
= 1/6 problems per minute
So, to make up the difference of 4 problems will take ...
time = quantity/rate = (4 problems)/(1/6 problem/minute) = 24 minutes
Caroline and Chase will be on the same problem after 24 minutes.
_____
Additional comment
Technically speaking, Chase will just be finishing problem 26 when Caroline starts it after 19.5 minutes. At that point in time, they are on the same problem. The answer choices suggest the real question is, "after how many minutes will they be starting the same problem at the same time?" After 24 minutes, both will be starting problem 29 at the same time.
What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398)
Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).Researching this problem on the internet, the parameters are given as follows:
\(\mu = 150, \sigma = 9, n = 10, s = \frac{9}{\sqrt{10}} = 2.85\)
The probability is one subtracted by the p-value of Z when X = 157, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
Z = (157 - 150)/2.85
Z = 2.46
Z = 2.46 has a p-value of 0.993.
1 - 0.993 = 0.007.
0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
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f(x)=x² what is g(x)
Answer:
C) \(g(x) = -x^2 - 3\)
Step-by-step explanation:
The function has been reflected in the x-axis, so -f(x)
then translated by 3 units down, so -f(x) - 3
Therefore, \(g(x) = -x^2 - 3\)
At 12 noon it was discovered that a driver has travelled 3/8 of the distance from Kano to lagos ,while another driver had travelled 3/10 of that distance from lagos,travelling at the same rate .if the two drivers are 390km apart .find the distance from Kano to lagos
The distance from Kano to Lagos is 1200 km
How to determine the distance from Kano to LagosThe problem involves addition of fractions
The fraction required are:
let the distance form kano to Lagos be x
it was discovered that a driver has travelled 3/8 = 3x/8
another driver had travelled 3/10 of that distance = 3x/10
The drivers are still 390 km apart
total distance, x
x = 390 + 3x/8 + 3x/10
x - 3x/8 - 3x/10 = 390
0.325x = 390
x = 390 / 0.325
x = 1200 km
From the driving distance information 1200 km is the distance from Kano to Lagos
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PLS HELP Ana Maria has the length of
1/3
ribbon Jolie has.If represents the
length of ribbon Jolie has, which
expression represents the length
of Ana Maria's ribbon?
OA)3r
OB)r/3
OC)3/r
OD) 3+r
The expression that represents the length of Ana Maria's ribbon is r/3
How to determine which expression can be used to represent the length?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation. It should be noted that an expression shows the relationship between the variables.
Ana Maria has the length of 1/3 ribbon Jolie has.
Let r represent the length of ribbon Jolie has
Since Ana Maria's ribbon length is 1/3 that of Jolie ribbon. We can write:
Ana Maria's ribbon length = 1/3 × r = r/3
Thus, the expression for Ana Maria's ribbon length is r/3.
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The expression that represents the length of Ana Maria's ribbon is r/3
How to determine which expression can be used to represent the length?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation. It should be noted that an expression shows the relationship between the variables.
Ana Maria has the length of 1/3 ribbon Jolie has.
Let r represent the length of ribbon Jolie has
Since Ana Maria's ribbon length is 1/3 that of Jolie ribbon. We can write:
Ana Maria's ribbon length = 1/3 × r = r/3
Thus, the expression for Ana Maria's ribbon length is r/3. :)
3(y+1/4)>3/4 determine the value of y for the inequality
Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.
What is inequality?An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.
Here,
We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:
3y + 3/4 > 3/4
Next, we can simplify by subtracting 3/4 from both sides:
3y > 0
Finally, we can solve for y by dividing both sides by 3:
y > 0/3
y > 0
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A police department believes that the number of serious crimes which
Answer:
Question: Q#01: [4] A police department believes that the number of serious crime which occur each month can be estimated by the equation C = 1200 - 12.5p Where c equals the number of serious crimes expected per month and p equal the number of officers assigned to preventive patrol.
Step-by-step explanation: