Given data:
The given expression is -4/9 x=3/8
The given expression can be written as,
[tex]\begin{gathered} -\frac{4}{9}x=\frac{3}{8} \\ x=-\frac{27}{32} \end{gathered}[/tex]The product is less than both the factors.
Thus, option C) is correct.
This is an online ACT prep guide problem that I’m having trouble on.Below, is the answer options to this problem.A. -4B. 1C. 6D. The limit does not exist.
Step 1
Given; A graph
Required; To find f(-4)
Step 2
The graph at x=-4 has a removable discontinuity. Therefore we can then conclude that f(-4) is undefined.
Hence, f(-4) is undefined
A removable discontinuity is a point on the graph that is undefined or does not fit into the rest of the graph.
If f(x) = 12x and g(x) = -4x-12, find (f ·g)(x).
A.) -48x^2 - 12x
B.) -48x^2 - 144x
C.) -4x^2 - 144x
D.) -192x^2
Answer:
[tex]-48x^2 - 144x[/tex]
Step-by-step explanation:
[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =12x(-4x-12) \\ \\ =-48x^2-144x[/tex]
Please help quickly!! (30 POINTS)
Given f(x)=3x^2 −5x−2.
What is the value of f(−2/3)?
The value of the function f(−2/3) will give the value 8/3.
What is the answer for f(-2/3)?A function is important to show the expression that's given.
Given: f(x) = 3x^2 −5x−2.
To find f(-2/3), we substitute x = -2/3 into the equation:
f(-2/3) = 3 x (-2/3)^2 - 5(-2/3) - 2
= 3 x 4/9 + 10/3 -2
= 12/9 + 10/3 - 2
= (12 + 30 - 18) / 9
= 24 /9
= 8/3
Therefore, f(-2/3) evaluates to 8/3.
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Answer:1700
Step-by-step explanation:
Please help me in math the question is in the picture please
If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.
What is work?The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.
For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Mathematically, the above statement is expressed as follows:
W = (F cos θ) d = F. d
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Which equation can be rewritten as x + 4 = x²? Assume x > 0.
Answer:
We have been given an equation . We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.
Since x is greater than, so we will take positive root on both sides of our given equation as:
Upon looking at our given choices, we can see that option C is same as our answer.
Step-by-step explanation:Therefore, option C is the correct choice.
Answer:2=x
Step-by-step explanation:
x+4=x^2
0+4=x^2
Square root 4 = square root x^2
2=x
scores on an iq test are normally distributed. the test is designed so that the mean is 100 and standard deviation is 15. hat is the cutoff score so that only 5% of the population has a higher score?
The cutoff score so that only 5% of the population has a higher score is 124.7.
If 5% of the population has a higher score, then the probability of selecting these is 0.05.
Find the z-score that corresponds to the probability in the z-table. (see attached images)
probability = 1 - 0.05 = 0.95
z-score = 1.647
Using the formula for the z-score below, determine the cutoff score.
z-score = (x – μ) / σ
where x = individual data value = cutoff score
μ = mean = 100
σ = standard deviation = 15
1.647 = (x - 100) / 15
1.647(15) = x - 100
x = 24.705 + 100
x = 124.705
cutoff score = 125
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if covariance between two variables is near 0, it implies that group of answer choices a positive relationship exists between the variables. none of the choices. the variables are not linearly related. the variables are negatively related. the variables are strongly related.
If covariance between two variables is near 0, it implies that the variables are not linearly related.
In probability theory and statistics, covariance is a measure of the combined variability of two random variables in probability theory. The covariance is positive if the larger values of one variable mostly correlate with the greater values of the other variable, and vice versa for the smaller values.It is given that the covariance between two variables is near zero.In mathematical modelling, statistical modelling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are explored in an experiment under the assumption or requirement that they are dependent, by some law or rule, on the values of other variables.It clearly implies that the variables are not linearly related.To learn more about covariance, visit :
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Which is greater 12.5 or |-13|?
From the question, we are asked to find which is great between 12.5 or |-13|
recall:
|-13|
The absolute value is the distance between a number and zero. The distance between -13 and 0 is 13.
The absolute symbol makes any number positive.
So, |-13| is the greater because |-13| = 13.
So, between 12.5 and |-13|, |-13| is greater since it is same as 13.
What is the answer to this equation: -13<2x+5<15
For f(x) = 4x + 1 and g(x) = x² - 5 find (g/f)(x)
I need help with this one :/
Answer:
always go with C- trust me its helped me alot
Step-by-step explanation:
(f+g)(x) = x2+4x−4
Explanation: add them together
f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4
ANYONE WHO ANSWERS ILL GIVE BRAINLIEST TO
finding the slope
Answer:
slope = 50
Step-by-step explanation:
Equation of slope of line is
y = mx + b
where m = slope and b = y-intercept which is the y-value for the point at which the line crosses the y-axis
In the graph you can see that the line crosses at (0,0)
So y-intercept is 0
Equation is y = mx
To find m
take two points on the line and calculate rise/run
rise = difference in y-values
run = difference in x-values
Points(0,0) and 1, 50) lie on the line
rise = 50 - 0 = 50
run = 1-0 = 1
slope = 50 /1 = 50
Sergio wants to hand a 40 1/2 inch by 28 2/3 inch canvas painting on a wall in his room. The width of the wall is 15 2/3 feet. The height of the wall is 3/4 the width of the wall. a. What is the area of the wall? b. How much of the wall will be uncovered after Sergio hangs the painting?
The most appropriate choice for area of rectangle will be given by-
a) Area of the wall = [tex]26508[/tex] [tex]in^2[/tex]
b) Area of wall left uncovered = [tex]25347[/tex] [tex]in^2[/tex]
What is area of rectangle?
Area of rectangle is the total space taken by the rectangle. If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is given by
Area = [tex]l \times b[/tex]
Here,
Width of the wall = [tex]15\frac {2}{3}[/tex] feet = [tex]\frac{47}{3}[/tex] feet
Height of the wall = [tex]\frac{3}{4} \times \frac{47}{3}[/tex] feet
= [tex]\frac{47}{4}[/tex] feet
a) Area of the wall = [tex]\frac{47}{3} \times \frac{47}{4}[/tex] [tex]ft^2[/tex]
=[tex]\frac{2209}{12} \times 12 \times 12[/tex] [tex]in^2[/tex]
= [tex]26508[/tex] [tex]in^2[/tex]
b) Length of painting = [tex]40 \frac{1}{2}[/tex] in = [tex]\frac{81}{2}[/tex] in
Breadth of painting = [tex]28\frac{2}{3}[/tex] in = [tex]\frac{86}{3}[/tex] in
Area of painting = [tex]\frac{81}{2} \times \frac{86}{3}[/tex] [tex]in^2[/tex]
= [tex]1161[/tex] [tex]in^2[/tex]
Area of wall left uncovered = (26508 - 1161) [tex]in^2[/tex]
= 25347 [tex]in^2[/tex]
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SOS I NEED HELP ASAP I MEED IT NOW
Answer: do c to my very ecucated guess bc c is always right
Step-by-step explanation:
Step-by-step explanation:
The length of a piece of paper is 11 inches. What is the length of the paper in
centimeters?
(1 inch = 2.5 centimeters).
Answer:
Length in inches → 11
1 inch = 2.5 centimeters
Length in Centimetres → 11 × 2.5 → 27.5 cm
the area of a right angled triangle is 96cm^2if the two shaded sides of the triangle differ by 2 what is the length of the shorter sides
The triangle have shorter sides of 12.9 and 14.9 cm, respectively
How to determine the lengths of the shorter sides?From the question, the given parameters are:
Triangle type = Right-angled triangleArea of triangle = 96 cm^2Also, from the question, we have:
Two shaded sides of the triangle differ by 2
In this case, the shaded sides of the triangle are
Opposite and Adjacent
This can also be interpreted as
Base and Height
So, we have
Base - Height = 2
The area is calculated as
Area = 0.5 * Base * Height
So, we have
0.5 * Base * Height = 96
This gives
0.5 * (Height + 2) * Height = 96
Divide by 0.5
(h + 2) * h = 192
Using a graphing calculator, we have
h = 12.9
Substitute h = 12.9 in Base - Height = 2
Base - 12.9 = 2
Evaluate
Base = 14.9
Recall that the Opposite and Adjacent are the shorter sides of a right triangle
Hence, the shorter sides are 12.9 and 14.9 cm
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cooling towers are used to remove or expel heat from a process. a cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. what is the width of the cooling tower at the base of the structure? round your answer to the nearest whole number. 100 meters 50 meters 48 meters 40 meters
The width of the cooling tower at the base of the structure is (D) 40 meters.
Where are cooling towers located?Typically, cooling towers are found on rooftops or other outdoor locations. Lower cooling system efficiency occurs as a result of operation and maintenance specialists commonly ignoring them because they are typically out of sight.Now, calculate the cooling tower's width:
Equation: x2/400 given (y-90)
²/1600=1Calculating the width:
Width of the cooling tower: 2400Width of cooling tower = 22040-meter cooling tower widthTherefore, the width of the cooling tower at the base of the structure is (D) 40 meters.
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PLEASE HELP ME. SERIOUSLY. I HAVE 30 MINUTES LEFT.
Let D be the dilation with center O and scale factor r>0 so that Dilation (P) = P' and
Dilation (Q) = Q'.
233.8
If |OQ|= 10 units, 10Q'] = 15 units, and IP'Q'] = 11.2 units, determine |PQ|. Round your
answer to the tenths place, if necessary.
incase you cant see, he right side is P, and below it is P1
Dilation factor is 3/2.
Define dilation factor.Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these distances.
Given,
OQ = 10
OQ' = 15
Let dilation factor be r
OQ ×r = OQ'
10× r = 15
r = 3/2
Dilation factor is 3/2.
Coordinates of P = (-4, -3)
Coordinates of P' = (-6, -4.5)
b) ΔOPQ ≅ ΔOP'Q'
Congruent,
[tex]\frac{OQ}{OQ'}[/tex] = [tex]\frac{PQ}{P'Q'}[/tex]
[tex]\frac{10}{15}[/tex] = [tex]\frac{PQ}{11.2}[/tex]
PQ = 7.46
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Simplify by combining like terms. 9x + 6 - 4x - 2x + 1 - 15
9x + 6 - 4x - 2x + 1 - 15
9x - 4 x- 2x = (9-4-4)x = 3x
6 +1 -15 = -8
____________
Answer
3x -8
______________
Please tell me if you can see the updates
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12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%
Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?
Answer:
Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:
that is equivalent to say the following equation:
percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3
that is, approximately 71 %
8v < 40 solve the inequality for v and simplify your answer as much as possible
Hey there!
8v < 40
DIVIDE 8 to BOTH SIDES
8v/8 < 40/8
v < 40/8
v < 5
It is an open circle starting at 5 and it is going down to the left side of the number line
Therefore, your answer should be:
v < 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
rder these numbers from least to greatest.
19
28'
ote that for this question you can use your mouse
4.79, 4-
4.8, -√25
The most appropriate choice for ascending order will be given by-
[tex]-\sqrt{25}[/tex], 4.79, [tex]4\frac{19}{28}[/tex], [tex]4.\bar{8}[/tex] is in ascending order
What is ascending order?
Suppose there is a series of numbers. The numbers will be in ascending order if the numbers are arranged from their least value to their greatest value.
The sorting of numbers in ascending order plays a very important role in statistics for calculation of median, quartiles, decile and percentile.
Here,
4.79 = 4.79
[tex]4\frac{19}{28} = 4 + \frac{19}{28} = 4.68\\[/tex]
[tex]4,\bar{8} = 4.8888..... = 4.89[/tex]
[tex]-\sqrt{25} = -5[/tex]
-5< 4.68< 4.79< 4.89 is in ascending order
So, [tex]-\sqrt{25}[/tex]< [tex]4\frac{19}{28}[/tex]< 4.79, [tex]4.\bar{8}[/tex] is in ascending order.
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The function g(x) is defined as g(x) = -2x^2 - 4x + 2 The value of g(-3)
Rewrite the expression using the Distributive Property. Then simplify.
7(h−10)7h-10
Write the simplified expression.
By the Distributive Property, the expression is 7h - 70
How to rewrite the expression?From the question, the expression is given as
7(h − 10)
As a general rule, the Distributive Property of algebra states that
a(b - c) =a * b - a * c
Using the above as a guide, we have
a = 7, b = h and c = 10
Substitute a = 7, b = h and c = 10 in the equation a(b - c) =a * b - a * c
So, we have
7(h − 10) =7 * h - 7 * 10
Evaluate
7(h − 10) =7h - 70
Hence, the simplified expression is 7h - 70
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The average height of a barometer during one week was 30.84 inches. for six week days of the same week the average height was 30.18 inches. what was the height on sunday?
The height of the barometer on Sunday = 34.8 inches
How is the barometer height on Sunday calculated?
Consider the barometer height for one week,
The average height of a barometer during one week = 30.84 inches
The total height of a barometer during one week = 30.84 * 7
= 215.88
Consider the barometer height for 6 weekdays,
The average height of a barometer for 6 weekdays of the same week= 30.18 inches
The total height of a barometer for 6 weekdays = 30.18 *6
=181.08
The barometer height on Sunday = One week height- 6 days height
=215.88 - 181.08
=34.8 inches
What is a height?
Height is the distance vertically between an object or figure's top and bottom. Height is also referred to as altitude . Average height is the sum of all the heights divided by the number of the given heights.To learn more about height, refer:
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If f(x) is an exponential functionwhere f(-2) = 1 and f(7) = = 63,then find the value of f(1) , to thenearest hundredth.
An exponential function has the form
[tex]y=ab^x[/tex]Therefore, to find an exponential function that satisfies our condition, we need to find a and b.
From f(-2) = 1, we have
[tex]1=ab^{-2}\: ^{}\: \: \: \: \; ^{}\: \: \: \: \; (1)[/tex]and from f(7) = 63, we have
[tex]63=ab^7\: \: \: \: \; ^{}\: \: \: \: \; (2)[/tex]Solving for a in equation (1) gives
[tex]a=b^2[/tex]substituting this value of a into equation (2) gives
[tex]63=b^2\cdot b^7[/tex][tex]63=b^8[/tex][tex]\begin{gathered} \therefore b=\sqrt[8]{63} \\ b=1.6785 \end{gathered}[/tex]With the value of b in hand, we now find the value of a:
[tex]\begin{gathered} a=b^2 \\ \therefore a=2.8173 \end{gathered}[/tex]Hence, the exponential function is
[tex]f(x)=(2.8173)(1.6785)^x[/tex]Evaluating the above function at x = 1 gives
[tex]\begin{gathered} f(1)=(2.8173)(1.6785)^1 \\ \boxed{\therefore f(1)=4.73.} \end{gathered}[/tex]which is our answer!
What is -5/7 times (-1/6)
Answer:
5/42 or 0.1190
hope this helps :)
11.4.4 Set F 10. The area of the trapezoid below is 24 square meters, the altitude is 4 meters, and the length of one base is 2 meters, What is the length, *, of the other base, in meters? 4 H. 10 K, 1211.4.4 Set F 10. The area of the trapezoid below is 24 square meters, the altitude is 4 meters, and the length of one base is 2 meters. What is the length, x, of the other base, in meters?
The length, [tex]x[/tex], of the other base, in meters is 10.
The area of trapezoid = 24 square meters
The altitude = 4 meters
The length of one base = 2 meters
We have to find the length [tex]x[/tex] of the other base in meters.
To find the value of the length [tex]x[/tex] we use formula of area of trapezoid.
We use the area of trapezoid to find the value of length [tex]x[/tex] because we know the value of area of trapezoid, length of one base and altitude.
As we know the formula of area of the trapezoid
[tex]A=\frac{a+b}{2}\times H[/tex]
In the formula,
[tex]A=[/tex] area of trapezoid
[tex]a[/tex] and [tex]b[/tex] are the two length of two different base of the trapezoid
[tex]H=[/tex] height or altitude of the trapezoid
From the given question, [tex]A[/tex] = 24 square meters, [tex]a=x[/tex] meter, [tex]b[/tex] = 2 meters and [tex]h[/tex] = 4 meters.
Now putting the values in the formula.
[tex]24=\frac{x+2}{2}\times 4[/tex]
[tex]24=(x+2)\times 2[/tex]
Divide by [tex]2[/tex] on both side
[tex]\frac{24}{2} =\frac{(x+2)\times 2}{2}[/tex]
[tex]12=x+2[/tex]
Subtract [tex]2[/tex] on both side
[tex]12-2=x+2-2[/tex]
[tex]10=x[/tex]
[tex]x=10[/tex]
Hence, the length, [tex]x[/tex], of the other base, in meters is 10.
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writing and solving inequalities the sum of eight times a number and negative four exceeds twelve
To do this, you first write the sentence in mathematical language, like this
[tex]8x+(-4)>12[/tex]Where x is that number mentioned in the sentence. So solving for x you have
[tex]\begin{gathered} 8x+(-4)>12 \\ 8x-4>12 \\ \text{Add 4 both sides of the inequality} \\ 8x-4+4>12+4 \\ 8x>16 \\ \text{Divide by 8 on tho both sides of the inequality} \\ \frac{8x}{8}>\frac{16}{8} \\ x>2 \end{gathered}[/tex]Therefore,
y=-3x^2+6x-9
vertex?
Axis of symmetry?
Y-intercept?
show work thx
Step-by-step explanation:
I wrote it on paper. I hope this is helpful
write the slope-intercept form of the equation for each line
bro i need sm to help me quick
Answer:
y = x + 7
Step-by-step explanation:
The line rises at a slope of 1 and intercepts the y-axis at 7.
