The statement which correctly describes the graph of y = f (x + 3) - 9 is; Choice C; It is the graph of f(x) translated 9 units down and 3 units left.
Which answer choice correctly describes the graph of y = = f (x + 3) - 9?It follows from the task content that given; f(x) = x³ , the answer choice which represents the description of the graphics to be identified.
Recall; y = f (x + k) where k is positive represents a k units shift to the left. while y = f(x) - k where k is positive represents a k units shift downwards.
Ultimately, the correct description is; Choice C; It is the graph of f(x) translated 9 units down and 3 units left.
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Carol crocheted 150 caps to sell at the community center's fall festival. Carol spent $287 on yarn for the caps and she must pay
$75 for a booth space at the fall festival. If Carol sells the caps for $12 each, how many caps must she sell to make a profit and
what is the maximum profit that Carol can make?
a laptop costs $650 after a 30% discount. what was the original price of the laptop?
Answer:
Let's assume that the original price of the laptop was "x". In any equation that is unknown and you cant figure out, you can use the equation of x.
According to the problem, the laptop costs $650 after a 30% discount. This means that the discounted price is equal to 70% of the original price:
Discounted price = 70% of original price then you divide by 100 so its
$650 = 0.7x
To solve for the original price, we can divide both sides of the equation by 0.7:
x = $650 ÷ 0.7
x = $928.57 (rounded to the nearest cent)
Therefore, the original price of the laptop was $928.57.
Answer: $928.57
Step-by-step explanation:
Price * (100%-30%) = $650
price * .7 = 650
price = 650/.7
price = 928.57
Kariuki cycles 5km from his home to school and 8kim from his home to the market. A chief's camp is closer to Kariuki's home than the market but further than the school. Write a compound inequality to show the distance from Kariuki's home to the chief's camp
The compound inequality to show the distance from Kariuki's home to the chief's camp is 5 < d < 8.
What is the compound inequality?
The compound inequality is calculated as follows;
Let d be the distance from Kariuki's home to the chief's camp in kilometers.
From the question, we can deduce that;
Kariuki cycles 5km from his home to school: d > 5
Kariuki cycles 8km from his home to the market: d < 8
Therefore, the distance from Kariuki's home to the chief's camp is between 5km and 8km, but not equal to either of those values.
The compound inequality = 5 < d < 8
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28) The volume of a cylinder is 38.5 cubic centimeters and the height is 6 centimeters. What is the area of the
base circle? Round the answer to the nearest hundredth. (Hint: Work backwards.)
B=?cm²
V=38.5 cm'
h=6cm
Answer :
Area of base circle = 6.42 cm²Step-by-step explanation:
Given :-
Volume of cylinder = 38.5 cu cm.Height of cylinder = 6 cm.To Find :-
Area of base?Solution :-
We know,
Area of Base = πr².In order to calculate to Area of base firstly we need to calculate the radius of the cylinder.
We are provided with Volume of cylinder that is 38.5 cm³.
We know,
Volume of cylinder = πr²h[tex] \: :\implies [/tex] 3.14 × r² × 6 = 38.5
[tex] \: :\implies [/tex] 18.84 × r² = 38.5
[tex] \: :\implies [/tex] 2.04 3
[tex] \: :\implies [/tex] 1.4292
[tex] \: :\implies [/tex] 1.43 (nearest hundredth)
Radius of the cylinder is 1.43 cm.
Now,
Area of base = πr²[tex] \: :\implies [/tex] 3.14 × (1.43)²
[tex] \: :\implies [/tex] 3.14 × 2.0449
[tex] \: :\implies [/tex] 6.420986
[tex] \: :\implies [/tex] 6.42 (nearest hundredth)
Therefore, Area of the base circle is 6.42cm².
help me please I need the answers can you do it please I need your help if your help I would really appreciate it
The above is an analysis of functions.
A) See the graph attached
1) This is a growth function
2) the asymptote is at y = -3
3) the domain is a real number
4) Range is ≥ -3
5) Y-intercept is (0, -11/4)
B) See attached graph.
1) this is a decay function
2) y=3 is the horizontal asymptote of the function
3) domain is a real number
4) Range ≤ 3
5) y-intercept is 5
A) The formula for f(x) is 4( x-1)- 3 is an exponential function with an exponent of (x- 1) and a base of 4 . Given that the base is bigger than 1, it is therefore, a growth function.
The function's horizontal asymptote is y = -3. The function may accept any value greater than or equal to -3 and is defined for all real numbers. The function's y-intercept is -11/4.
B) The function f( x) = 2(1/2)^x + 3 is an exponential function with a base of 1/2 and an exponent of x.
Considering that the base is smaller than 1 , it is a decay function. The function's horizontal asymptote is y = 3. The function may accept any value that is less than or equal to 3 and is defined for all real numbers. The function's y-intercept is 5.
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A new social media site is increasing its
user base by approximately 4% per month.
If the site currently has 25,610 users,
what will the approximate user base be 7
months from now?
1st month will be.
25,610 ×104/100=26,634.4
2nd month.
26,634×104/109=27,699.776
3rd month.
Multiply the answer in the second month by 104/100
4th month.
Multiply the answer in the third month by 104/100
5th month.
Multiply the answer in the second month by 104/100
Until the 7 th month...
Answer will be =33,701 users
B If RP = 6, FS = 4, and RT = 12, what is the length of segment PQ? R P S 12
The length of segment PQ is equal to 6 units.
What is the Tangent Secant Theorem?In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.
By applying the Tangent Secant Theorem to this circle, we have the following:
RT × RS = QR × RP
12 × 4 = QR × 6
QR = 48/6
QR = 8 units.
PQ + RP = QR
PQ + 2 = 8
PQ = 8 - 2
PQ = 6 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
An unknown number x is at most 10. Which graph best represents all the values of x? (1 point)
Number line graph with closed circle on 10 and shading to the right.
Number line graph with open circle on 10 and shading to the right.
Number line graph with open circle on 10 and shading to the left.
Number line graph with closed circle on 10 and shading to the left.
Answer:
It's D it's correct
Step-by-step explanation:
please find the meidan of 42,45,52,54,57,58
Answer: 53
Step-by-step explanation:
It's already ordered from least to greatest so find the number in the middle. That would be 52 and 54.
Find the mean/average of 52 and 54.
(52+54)/2=106/2=53
suppose the confidence interval was (5.68, 7.92). what is the correct interpretation of this interval? group of answer choices the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92 we are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68 and 7.92. we are 95% confident that the true slope for the relationship between weight and number of gogles for our sample of piknits lies between 5.68 and 7.92. there is a 95% chance that the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92.
The confidence interval between 5.68 and 7.92 should be interpreted as "we are 95% confident that the true slope for the association between weight and number of goggles for our sample of piknits lies between 5.68 and 7.92."
A defined degree of confidence, usually 95% in most applications, was used to generate the interval using the sample data. The interpretation of this range is that, for our population of piknits, there is a 95% probability that the true slope of the relationship between weight and goggles falls between 5.68 and 7.92.
Decision-makers who must estimate the true population parameter based on a sample can benefit greatly from the knowledge provided by this interval.
It also emphasizes the significance of selecting the sample size and level of confidence with care to guarantee the precision of the interval.
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Find an equation in slope-intercept form for the line: slope = 3/4 , y-intercept = -5
use benchmark to compare 4/5 and 0.9
The comparison of the values 4/5 and 0.9 using a benchmark of 1 indicates that 0.9 > 4/5
What is a benchmark?A benchmark is a point of reference to which two or more quantities can be compared such that it can be used to provide a values guagemark indication
A benchmark that is commonly used is 1
Therefore;
Converting 4/5 into decimals, to be in the same format as 0.9, we get;
4/5 = 0.8
The numbers 0.8 and 0.9, compared with 1 indicates that
1 is larger than 0.8 and 0.9 and 0.9 is closer to 1 in value than 0.8, therefore;
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how do we divide a continuous distribution such as a normal distribution into rejection region and non rejection region?
To divide a continuous distribution such as a normal distribution into a rejection region and a non-rejection region, we need to first specify the level of significance or alpha (α) of the hypothesis test.
The rejection region is the area in the tails of the distribution where the test statistic falls that is unlikely to occur by chance if the null hypothesis is true. This area is determined by the alpha level and the direction of the alternative hypothesis (one-tailed or two-tailed).
The non-rejection region is the area in the middle of the distribution where the test statistic falls that is likely to occur by chance if the null hypothesis is true. This area is determined by subtracting the area of the rejection region from 1.
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When multiplying simple fractions, the numerators ____ , and the denominators _____.
blank 1
A. get multiplied
B. Stay the same
C. Get inverted
D. Get divided
blank 2
A. Stay the same
B. Get inverted
C. also get multiplied
D. Get divided
Answer:
The answer to your problem is,
[tex]Blank[/tex] [tex]1[/tex]: A. Get multipled
[tex]Blank[/tex] [tex]2[/tex]: C. Also get multipled
Step-by-step explanation:
We know [tex]\frac{1}{2}[/tex] and [tex]\frac{2}{8}[/tex]. Will get multipled shown:
[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{8}[/tex] = the fraction:
[tex]\frac{2}{16}[/tex]
12 is being multiplied the numerators.
And the denominators multiply with each other.
Thus the answer to your problem is:
Blank 1 : A. Get multipled
Blank 2 : C. Also get multipled
Suppose a researcher compares the means of two independent groups that have the same number of participants in each group. The researcher uses the. 05 level of significance and obtains a calculated value of t of 2. 11. At least how many participants must be in each group in order to reject the null hypothesis?
To reject the null hypothesis with a calculated value of t of 2.11 at the 0.05 level of significance, there must be at least 26 participants in each group.
To calculate the sample size required to detect a significant difference at the 0.05 level of significance, we need to use a power analysis. A power analysis is a statistical method that calculates the minimum sample size required to achieve a certain level of statistical power, which is the probability of rejecting the null hypothesis when it is false.
Assuming a power of 0.8 (a commonly used level of power), we can use a power calculator or a statistical software program to determine the required sample size for the given effect size (represented by the calculated value of t) and significance level.
By using an online calculator, we can find that a sample size of at least 26 participants per group would be required to detect a difference with an effect size of 0.5 (which corresponds to a calculated value of t of 2.11) at the 0.05 level of significance with 80% power.
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Which description is paired with its correct expression?
O two less than the quotient of a number cubed and four, increased by eight;
2-
O six times the difference of five and a number squared; 6(n² – 5)
7³
4
3+
O three more than the quotient of nine and a number cubed, decreased by two;
O twice the difference of a number squared and three; 2n²-3
+8
9
2
The correct pairing of description and expression is B. six times the difference of five and a number squared, 6(n² - 5)
How to find the correct pairing ?The correct pairing is six times the difference of five and a number squared because it accurately shows how the expression would look like at 6 (n² - 5)
.
The difference between five and a number squared would be shown as :
= n² - 5
Then when six multiplies this difference, the full thing becomes :
= 6 (n² - 5)
In conclusion, the correct answer is B.
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x is a normally distributed random variable with a mean of 24 and a standard deviation of 6. The probability that x is less than 11.5 is:__________
a. 0.9814.
b. 0.0076.
c. 0.9924.
d. 0.0186.
D, the probability that x is less than 11.5 is 0.0186
To solve this problem, you need to find the probability that x is less than 11.5 given that x is a normally distributed random variable with a mean of 24 and a standard deviation of 6. Follow these steps:
1. Calculate the z-score: z = (x - mean) / standard deviation
z = (11.5 - 24) / 6
z = -12.5 / 6
z ≈ -2.083
2. Use a z-table or calculator to find the probability corresponding to the z-score. For a z-score of -2.083, the probability is approximately 0.0186.
Therefore, the probability that x is less than 11.5 is 0.0186, which corresponds to answer choice (d).
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Use the graph to solve for c and y
Answer:
x = 3 , y = - 5
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the lines intersect at (3, - 5 )
that is x = 3 , y = - 5 is the solution
Find the volume of the pyramid and round to the nearest tenth.
A) 33.3cm^3
B) 37.5cm^3
B) 66.7cm^3
D) 100cm^3
The volume of the pyramid is 33.3 cm³.
How to find the volume of a pyramid?The diagram above is a triangular pyramid. The volume of the triangular pyramid can be calculated as follows:
volume of triangular pyramid = 1 / 3 × base area × height
base area = 1 / 2 bh
base area = 1 / 2 ×5 × 5
base area = 25 / 2
base area = 12.5 cm
volume of triangular pyramid = 1 / 3 × 12.5 × 8
volume of triangular pyramid = 100 / 3
volume of triangular pyramid = 33.3333333333
volume of triangular pyramid = 33.3 cm³
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divide the rational expressions
The solution is:
The correct options are;
Adding rational expressions
Subtracting rational expressions
When adding or subtracting rational numbers, the denominators of the fractions representing the numbers should be equal
Therefore, when adding two or more rational expressions together, the following steps are required;
1) Looking for the Lowest Common Denominator
2) Finding the product of the quotient obtained from dividing the LCD by the denominator of a fraction and the numerator of the fraction
3) Placing the sum (or differences) of the products obtained in the above step as the numerator, while the LCD remain denominator
4) Simplifying the numerator in the above step
5) The faction so obtained, is the sum or difference of two or more rational expressions.
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complete question:
Which of the following problem types require you to find the LCD? (choose ALL that apply)
multiplying rational expressions
multiplying rational expressions
dividing rationals expressions
dividing rationals expressions
adding rational expressions
adding rational expressions
subtracting rational expressions
subtracting rational expressions
solving rational equations
Reflect (-5, 4) across the y-axis.
Then reflect the result across the x-axis.
Projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
What is the coordinate point?The center of the coordinate system and the intersection of the lines and called the origin. The axes intersect when both x and y are zero. The coordinates of the starting point are (0, 0). An ordered pair contains the coordinates of a point in a single coordinate system.
To reflect a point across the y-axis, we cancel its x-coordinate, leaving its y-coordinate unchanged. So reflecting the point (-5, 4) across the y-axis gives the point (5, 4).
To reflect a point across the x-axis, we cancel its y-coordinate and leave its x-coordinate unchanged. Thus, reflecting the point (5, 4) across the x-axis results in the point (5, -4).
Therefore, projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
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when adding, subtractingn multiypling and dividing with exponents, do the bases have to be the same?when multiplying, what is done with the exponents?How about dividing?what about (X^A) ^A?what about (X/Y) ^ AX^-AX^A/B
Answer:
Step-by-step explanation:
Yes the bases must be the same
If you multiply, add the exponents. Ex: x² * x³ = [tex]x^{5}[/tex]
When dividing, subtract. Ex. [tex]\frac{x^{6} }{x^{2} }[/tex] = [tex]x^{4}[/tex]
When it's to the power to the power, multiply exponents Ex. [tex](x^{5} )^{2} = x^{10}[/tex]
[tex](\frac{x}{y} )^({ax-ax} )^{a/b} = (\frac{x}{y} )^{(0)} =1[/tex] anything to the 0 power is 1
It's not clear what your last question part was.
The graph of A ABC has coordinates A(-3, 4), B(1, 4), and C(3, 1). In integers
The coordinates of point D, given the graph of ABC can be found to be
How to find the coordinates of the point ?To fin the coordinates of D, you first need to find the distance between the points A and C.
You can also use the midpoint formula which combines the distance formula with the midpoint formula as:
= ((x1 + x2) / 2, (y1 + y2) / 2)
The coordinates of Point D would be:
D = ((-3 + 3) / 2, (4 + 1) / 2)
= (0 / 2, 5 / 2) = (0, 2.5)
D = (0, 2.5).
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The full question is:
The graph of A ABC has coordinates A(-3, 4), B(1, 4), and C(3, 1). In integers find the coordinates of point D if A, B, and C are the vertices of a triangle and D is the midpoint of segment AC.
In the Choosy Shopper supermarket, 60% of the bananas in a display stack are ripe. There are 36 ripe bananas. How many total bananas are in the stack?
There are 60 total bananas in the stack.
Finding the number of bananas:Using algebra to translate the problem statement into an equation. Represent the total number of bananas in the stack with a variable, and we use the fact that 60 percent of the bananas are ripe to set up the equation 0.6x = 36.
Here we have
In the Choosy Shopper supermarket,
60% of the bananas in a display stack are ripe.
There are 36 ripe bananas.
Let's assume that the total number of bananas in the stack is "x".
We know that 60% of the bananas are ripe, so we can it in form of an equation that is
=> 60% of x = 36
=> [ 60/100 ] × x = 36
=> 0.6x = 36
To solve for x, we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.6:
=> x = 36 / 0.6
=> x = 60
Therefore,
There are 60 total bananas in the stack.
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Ivan said that the mean of -18, -16, +11, and +15 is positive. Without calculating the value of the mean, Norah disagreed with him. How did she know that the mean is not positive?
Answer:
Step-by-step explanation:
The middle of -16 and 11 is a negative number and the middle of -18 and 15 is a negative number. so it is weighted more to the negative numbers
Henry’s car averages 8 gallons of gasoline to travel 320 miles. At this rate, how many miles would he be able to drive if he purchased 24 gallons of gas?
Henry would be able to drive 960 miles if he purchased 24 gallons of gas.
Given that Henry's car uses 8 liters of gasoline on average to cover 320 miles.
Let x miles be able to drive if he purchased 24 gallons of gas.
According to the question, the ratio can be calculated as:
320 miles : 8 gallons = x miles : 24 gallons
⇒ 320/8 = x/24
⇒ (8)(x) = (24)×(320)
Divide each side by 8 to get,
⇒ x = (24)×(320)/(8)
⇒ x = 960
Therefore, he would be able to drive 960 miles if he purchased 24 gallons of gas.
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Pls help 50 points
17. CONDIMENTS A number of people in a park were asked to name their favorite condiment for hot dogs. The results
are shown in the circle graph. What was the second most popular hot dog condiment?
Answer:
mustard
Step-by-step explanation:
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).
0.325
0.625
0.750
0.875
Answer: C .750
Step-by-step explanation:
the possibilites to not get yellow is 6
total outcomes 8
P(not yellow)=6/8 =.750
how many slip directions are in just the (101) slip plane of a bcc metal? how many slip directions are in just the (101) slip plane of a bcc metal? 1 2 3 4 12
The (101) slip plane of a BCC metal has four slip directions. Slip directions are determined by the crystal structure of a material and are the directions along which dislocations move most easily when stress is applied.
In BCC metals, dislocations tend to move along the <110> slip directions, which are the directions that bisect the angles between the primary cube diagonals. The (101) slip plane is a plane of atoms that is oriented at an angle to the primary cube face, and it intersects three of the primary cube diagonals.
This results in four <110> slip directions that are oriented in the plane of the (101) slip plane. These slip directions are important for understanding the mechanical behavior of BCC metals, including their strength and ductility.
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In the diagram below, trapezoid ABCD maps to trapezoid A¢B¢C¢D¢.
Which angle corresponds to angle C¢?
angle _ ?? asap plsss
By the similarity of the triangles, the angle that corresponds to angle C¢ is C
Which angle corresponds to angle C?From the question, we have the following parameters that can be used in our computation:
Trapezoid ABCD maps to trapezoid A¢B¢C¢D¢.
This is a rigid transformation and as such the side lengths and angles would remain unchagned
So, we have the following corresponding angles
Angle A corresponds to A¢Angle B corresponds to B¢Angle C corresponds to C¢Angle D corresponds to D¢The above means that the angle corresponds to angle C is the angle C$
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