If 3 2 x−1=4 , then x
Steps to solve:
x - 1 = 4
~Add 1 to both sides
x = 5
Best of Luck!
f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
Mai, Clare, and Tyler are hiking
from a parking lot to the summit
of a mountain. They pass a sign
that gives distances.
Parking lot: 3/4 mile
Summit: 1 and 1/2 miles
Mai says: "We are one third of the
way there." Clare says: "We have to
go twice as far as we have already
gone." Tyler says: "The total hike is
three times as long as what we
have already gone."
Who is correct?
Answer:Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
Urgent!!!!! please help
Answer:
A
Step-by-step explanation:
I will edit and add my explanation
The 3 and 2 are both positive if the information that was given in the screenshot is standalone.
So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.
We can narrow the choices down to A and C because they both move right.
Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.
3 * 2 is also 6, so it must end on 6.
Match the correct statement with the given information.
The correct statements regarding the transformations to the volumes are given as follows:
1. A cone's radius increases x 3: -> The cone's volume will increase x 9.
2. A cone's height increases x 3: -> The cone's volume will increase x 3
3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.
4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.
What are the volumes?The volume of a cone of radius r and height h is given as follows:
V = πr²h/3.
Then the scale factors are considered as follows:
If the radius is multiplied by 3, the volume is multiplied by 9, as the volume is squared.If the height is multiplied by 3, the volume is also multiplied by 3, as the power of the variable h is of h.The volume of an sphere of radius r is given as follows:
V = 4πr³/3.
Then when the radius is multiplied by 3, the volume is multiplied by 27, as 3³ = 27, and the radius is cubed in the equation.
The volume of a cylinder of radius r and height h is given as follows:
V = πr²h.
Then if the radius is multiplied by 6, the volume is multiplied by 36, as the variable r is squared in the equation for the volume.
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The table below models a particular physical situation.
x −9, −3, 4 ,10
y 9, 1, −7, 10
Find the piecewise linear equation that models the data above. Round to three decimal places if needed.
y={
___ x + ___. −9 ≤ x ≤ −3
___ x + ___. −3 < x ≤ 4
___ x + ___. 4 < x ≤ 10
Answer:
Step-by-step explanation:4
Step-by-step explanation:
We do the ones that are in parenthesis first. Find out the exponent. 2 to the power of two is 4. 3-4=-1. Then we would add 5. 5+-1 would result of 4.
Alex learned 80 new vocabulary words for his English exam. The following function gives the number of words he remembers after t days: W(t) = 80(1 - 0.1t)^3 What is the instantaneous rate of change of the number of words Alex remembers after 5 days? Choose 1 answer: A. 10 days B. 10 words per day C. -6 days D. -6 words per day
The instantaneous rate of change is -6 words per day,
the number of words Alex remembers after 5 days, option (D).
What is the instantaneous rate of change ?
An instantaneous rate is the rate at some instant in time. An instantaneous rate is a differential rate: -d[reactant]/dt or d[product]/dt. We determine an instantaneous rate at time t: by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.
Have given,
Alex learned 80 new vocabulary words
and after t days he learned,
W(t) = \(80 (1-0.1t)^{3}\)
differentiate respect of t
W'(t) = \(80 \frac{d}{dt} (1-0.1t)^{3}\)
W'(t) = \(80 * 3(1-0.1t)^{2} \frac{d}{dt}(1-0.1t)\)
W'(t) = \(240(1-0.1*5)^{2} (0.1)\)
W'(t) = 6
That's mean , the instantaneous rate of change is -6 words per day.
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Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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Can someone please find me answers
Answer:
their relationship: they are all equivalent to each other
Step-by-step explanation:
1 = 3ft = 36in
they are all inter-connected due to conversion. 1 yard is 36 inches because if you multiply 1 × 3 and then multiply it by 3, it is 36.
the empty boxes in the inches are 12
the empty boxes in the inches are 108 and 144
What is the equation of the following line written in slope-intercept form?
Answer:
\( y = 5x \)
Step-by-step explanation:
Line equation is given as y = mx + b
Where, m is the slope of the line, which is,
\( m = \frac{y2 - y1}{x2 - x1} \)
b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.
=>Find m and b to derive an equation for the line.
using the 2 coordinate pairs, (1, 5), (-1, -5),
Let, x2 = -1,
x1 = 1,
y2 = -5,
y1 = 5
\( m = \frac{y2 - y1}{x2 - x1} \)
\( m = \frac{-5 - 5}{-1 - 1} \)
\( m = \frac{-10}{-2} \)
\( m = 5 \)
From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.
Plug in the values of m and b in the line of equation.
y = mx + b
y = 5x + 0
y = 5x
Therefore, the equation of the line, in the graph above, written in slope-intercept form is:
\( y = 5x \)
Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Pls answer fast
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Please help!! Pythagorean theorem worksheet
Answer:
1. The law states that
a^2 =b^2 +c^2
a^2 = 6^2+3^2
a^2= 36+9
a^2= 45
✅ a^2 = ✅ 45
a =✅ 45
a= 6.7082039324993
To 9 decimal place
a = 6.708203932
Follow and like if you want the answer for questions 2 and 3
If all other factors are held constant, which of the following results in a decrease in the probability of a Type II error?
The true parameter is closer to the value of the null hypothesis.
A. The sample size is decreased.
B. The significance level is decreased.
C. The standard error is decreased.
D. The probability of a Type II error cannot be decreased, only increased
The right response is A. The likelihood of a Type II mistake is reduced when the actual parameter is nearer the value of a null hypothesis.
How do you rapidly identify factors?How Can I Obtain Big Number Factors? Divide the numbers by the least positive integer, or 2, to determine the factors of big numbers. Move on to the following prime numbers, i.e. 3, and so on until you hit 1, if the integer is not divided by 2. Here is an illustration of how to determine a big number's factors.
What does a mathematical number mean?A factor is an integer that completely splits another number. To put it another way, if adding two whole numbers results in a result, then the numbers humans are adding are components of the good or service because the product is divided by them.
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What are the coordinates for point A?A.(0, 1)B.(4, 5)C.(-4, 5)D.(5, -4)
To find the coordinates (x, y) of a point on a plane, we have to draw a line parallel to the y-axis and look at the value on the x-axis, this is the x-coordinate. In this case, the x-coordinate is -4.
Similarly, to find the y-coordinate, we have to draw a line parallel to the x-axis and look at the value on the y-axis. In this case, the y-coordinate is 5.
Therefore, the coordinates for point A are (-4, 5)
Answer: a
Step-by-step explanation:
144 in the ratio 3:4
Answer: 132
Step-by-step explanation:
Hello, how do I calculate this?Question: how many cupfuls of water will the cooler provide before it needs refilling?
If the cooler volume is represented by the cone, we can calculate the volume as:
\(V=\frac{1}{3}A_t\cdot h=\frac{1}{3}\pi r^2h\)where the radius is r = 4 cm and the height is h = 7.46 cm.
We can replace with the values and calculate:
\(\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\pi\cdot4^2\cdot7.46 \\ V=\frac{1}{3}\pi\cdot16\cdot7.46 \\ V\approx125\operatorname{cm}^3 \end{gathered}\)One cup is equal to 237 cm³, so we can calculate the volume as:
\(V=125\operatorname{cm}^3\cdot\frac{1\text{ cup}}{237\operatorname{cm}^3}\approx0.53\text{ cups}\)Answer: The cone will only fill 0.53 cups of water.
The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.
A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.
a) The direct variation equation is y = 33x.
b) The customer can pay the company to collect 15 bins.
c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.
A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.
B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:
y = 33x
500 = 33x
x = 500/33
x ≈ 15.15
Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.
C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:
y = 33x + 30
530 = 33x + 30
500 = 33x
x ≈ 15.91
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M/ u^2+r =-k-y PLEASE HELP!!!!!
Answer:
(b) as marked
Step-by-step explanation:
Subtract r, multiply by u^2/(-k-y-r), and take the square root.
\(\dfrac{m}{u^2}+r=-k-y\qquad\text{given}\\\\\dfrac{m}{u^2}=-k-y-r\qquad\text{subtract $r$}\\\\\dfrac{m}{-k-y-r}=u^2\qquad\text{multiply by $\dfrac{u^2}{-k-y-r}$}\\\\u=\pm\sqrt{\dfrac{m}{-k-y-r}}\qquad\text{take the square root}\)
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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Pls help i will give brainliest!!!
Answer:
c=m+s
Step-by-step explanation:
Silicone implant augmentation rhinoplasty is used to correct congenital nose
deformities. The success of the procedure depends on various biomechanical
properties of the human nasal periosteum and fascia. The article "Biomechnics in
Augmentation Rhinoplasty" reported that for a sample of 15 (newly deceased)
adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.5.
(p. 277 #35)
a. Assuming a normal distribution for failure strain, estimate true average strain in
a way that converys information about precision and reliability.
b. Predict the strain for a single adult in a way that conveys information about
precision and reliability. How does the prediction compare to the estimate
calculated in part (a)?
A true average strain in a way that converys information about precision and reliability (23.0616, 26.9384)
In this question we have been given:
sample size n = 15
the mean failure strain x(bar) = 25.0
the standard deviation s = 3.5
Assuming a normal distribution for failure strain, we need to estimate true average strain in a way that converys information about precision and reliability.
A 95% confidence interval is necessary; other confidence intervals can be calculated in a similar way.
c = 0.95 or 95%
In the table with the critical values for t distributions in the appendix, locate the row beginning with degrees of freedom.
Here, the degree of freedom :
df = n - 1
df = 15 - 1
df = 14
and the column with α =(1-c)/2
=0.025
To find the t-value:
t_(α/2) = 2.145
Therefore, the error margin is:
E = t_(α/2) × s/√n
E = 2.145× 3.5/√15
E ≈1.9384
The confidence interval's outer limits are thus:
x{bar} - E = 25.0 - 1.9384
= 23.0616
x{bar} + E = 25.0 + 1.9384
= 26.9384
Therefore, the confidence interval is: (23.0616, 26.9384)
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What is the coefficient of 20x?
Answer:
20
Step-by-step explanation:
A coefficient is the number that is attached to the variable.
In this case, the number attached to the variable is 20.
Therefore, the coefficient is 20
hope this helps :)
Help its urgent i need to get these done
The planes that are parallel in the cube shown would be C. NOR and LMP.
What are parallel planes ?Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.
From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.
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Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answer:
option A is your answer okk
Pleaseeee helpp its due in 6 mins
Answer:
5 8 as decimal is: 0.625
Step-by-step explanation:
What is 5/8 as a decimal?
To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 5 by 8 what we write down as 5/8 and we get 0.625
And finally we have:
5/8 as a decimal equals 0.625
A study of 6076 adults in public rest rooms found that 23% did not wash their hands before exiting. Is the value a parameter or a statistic?
Answer:
Statistic.
Step-by-step explanation:
A statistic is the result of a finished data set.
From things such as...
graphchartpie chartand a few more.
Hope this helps!
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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Somebody help me find a
Answer:
44°
Step-by-step explanation:
In the first triangle, the third angle is 180-95-39=46.
It has a congruent angle in the second triangle.
So the second triangle is 180-90-46=44°
a=44°
Translate the sentence into an equation.
Three more than the product of a number and 5 equals 9.
Use the variable w for the unknown number.
Answer:
(5+w)+3=9
Step-by-step explanation: