Answers
.. (x +4)/(2x -5) = -3
.. x +4 = -3(2x -5)
.. 7x = 11
.. x = 11/7
The desired value is
.. (3/11)*g^-1(-3)
.. = (3/11)*(11/7)
.. = 3/7
[tex] \frac{3}{11} g^{-1}(-3) = \frac{3}{7}[/tex]
Related Questions
If the sum of the positive integer a and 5 is less than 12, what is the sum of all possible values of a?
Answers
To find the sum of all possible values of a, we subtract 5 from both sides of the inequality a + 5 < 12 and find the maximum value of a. The sum of all possible values of a is 21.
Explanation:To find the sum of all possible values of a, we need to determine the range of possible values for a. We are given that the sum of a and 5 is less than 12. This can be expressed as a + 5 < 12. To find the maximum value of a, we subtract 5 from both sides of the inequality: a < 12 - 5 = 7. Therefore, the possible values of a are all the positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of consecutive positive integers: S = (n/2)(n+1), where n is the largest integer. In this case, n = 6, so the sum of all possible values of a is (6/2)(6+1) = 21.
The sum of all possible values of a is 21.
Explanation:The question states that the sum of the positive integer a and 5 is less than 12. To find the sum of all possible values of a, we need to determine the range of values that satisfy this inequality. Let's set up the inequality:
a + 5 < 12
Subtract 5 from both sides:
a < 7
So, the possible values of a are all positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(first term + last term)
Here, the first term is 1 and the last term is 6 (since we want integers less than 7). The number of terms, n, is 6, since there are 6 possible values of a. Plugging in these values:
Sum = (6/2)(1 + 6) = 3 * 7 = 21
So, the sum of all possible values of a is 21.
WHERE ARE ALL OF MY MATH GENIUSES AT!!!!!!!!
1.)
Factory workers test 80 batteries. Four batteries are defective. What is the experimental probability that a battery is defective?
2.)
Assume this trend continues. Predict the number of defective batteries in a batch of 1,600.
3.)
THERE ARE SIX OPEN CONTAINERS ARRANGED AS SHOWN. YOU TOSS A BALL AND IT FALLS INTO ONE OF THE CONTAINERS AT RANDOM. FIND EACH PROBABILITY. (ORDER OF NUMBERS IN A TRIANGLE: 123456)
P(number greater than 4)
P(even number)
P(4)
P(7)
4.)
a car comes in the colors and models listed in the table below. assume there is the same chance of selecting any color or model.
silver hatchback
gray coupe
black sedan
Give sample space
find the probability that a car selected at random is silver hatchback
find the probability that a car selected at random is yellow coupe
5.)
design a simulation that can be used to estimate the probability that a student will get at least 2 answers correct when guessing the answers to 3 true or false questions.
6.)
on average 9% of the packages delivered by a shipping company are late. use the random digits below as a simulation tool to estimate the probability that a customer can receive at least 4 packages without any being late. each row represents one trial.
63 13 02 41
51 44 40 60
25 63 84 11
71 81 32 79
72 39 13 75
10 85 99 93
59 70 00 68
51 64 94 08
91 71 39 95
70 27 23 61
Answers
nCr=8C2=28 coefficient
28*p^2*q^6=.2965
In the triangle m∠1 = 42°, and m∠4 =81°. What is m∠2°?
Question 5 options:
39°
99°
42°
132°
Answers
To find the measure of angle 2 in the given triangle, subtract 180 degrees from the sum of the other two angles.
Explanation:To find the measure of angle 2 in the given triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.
Thus, Angle 3 can be found by subtracting angles 1 and 2 from 180 degrees: Angle 3 = 180 - 42 = 138 degrees.
Finally, Angle 2 can be found by subtracting Angle 3 and Angle 4 from 180 degrees: Angle 2 = 180 - 138 - 81 = 39 degrees.
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Please help! We never learned this!
Answers
decrease in price: 36,000 x 0.032 = 1,152
price of next model : 36,000 - 1,152 = 34,848
Solve the problem. Use 3.14 for 4072-07-02-02-00_files/i0170000.jpg, and round your answer to the nearest tenth.
The foundation for a fountain is a cylinder 19 feet in diameter and 5 feet high. How much concrete is needed to pour the foundation?
a.
2833.9 ft3
b.
5667.7 ft3
c.
1416.9 ft3
d.
596.6 ft3
Answers
Volume= 3.14 (9.5)^2 5
Volume= 1416.9 ft^3
The amount of concrete that is required to fill the fountain is given as 1433.61 ft³. None of the options is correct.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
The height of fountain is 5 feet.
And, the diameter is 19 feet.
Then, the radius is given as 19/2 = 9.5 feet.
The amount of the concrete filled is equivalent to the volume of cylinder given as,
Plug h = 5 and r = 9.5 in V = πr²h as below,
⇒ V = 3.14 × 9.5² × 5 = 1433.61
Hence, the amount of concrete is given as 1433.61 ft³.
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What is the value of x?
Answers
x/(x+5)=(x-2)/(x+1)---------- > x*(x+1)=(x-2)*(x+5)- -----> x²+x=x²+5x-2x-10
x²+x=x²+5x-2x-10------- > 2x=10
x=5
the answer is x=5
Use the Pythagorean theorem to determine the distance between point A(-8,8) and point B(-5,1), the distance between point C(2,7) and point D(8,-5), and the distance between point E(3,-7) and point F(-6,-9).
The distance between points__and __is the greatest. The distance is___units.
Answers
The Pythagorean theorem is used to find the distance between points in a coordinate plane by calculating the hypotenuse of a right triangle formed by the coordinates. The greatest distance is between point B and point E.
Explanation:To find the distance between two points using the Pythagorean theorem, you need to know the coordinates of the points. The formula for the distance between two points (x1, y1) and (x2, y2) is:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For point A(-8,8) and point B(-5,1):For point C(2,7) and point D(8,-5):For point E(3,-7) and point F(-6,-9):The greatest distance is between point B and point E, which is approximately __units long.
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Order the set of numbers from least to greatest: negative 5 over 6, negative 5, negative square root 26, negative 31 over 6
Answers
Your calculator can be of great help here.
-5/6 = - 0.833333
- 5
- sqrt(26) = - 5.09
- 31 /6 = - 5.1666
Rule: the "larger" the number numerically in the minus region, the smaller the number actually is. Think money. Which would you rather be - 1000 dollars or - 100 dollars. Well you may say neither, but you have to choose. I would rather be just 100 dollars in debt which is - 100 from my point of view.
So the order from smallest to largest is
-31/6, -sqrt(26), -5, -5/6
Remember that -5/6 is 83 cents in debt.
Write in slope-intercept form an equation of the line that passes through the given points. (−9, 5), (−3, 3)
Answers
We need to solve for the slope first
remember
the slope is the change in y/ over the change in x
y2 - y1 / x2 - x1
3 - 5 / -3 --9
-2/6 this can be simplified to -1/3
That is the slope so we plug it into the equation
y = mx + b
m = slope
y = -1/3x + b
Now to solve for the y-intercept, we plug in one of the coordinates to solve for b
3 = -1/3(-3) + b
3 = 1 + b
3 = b + 1
subtract 1 from both sides
2 = b
That is the point where it intercepts the y-axis
(0,2)
Now we have our equation for the line that passes through the points, (-9,5)(-3,3).
That equation is y = -1/3x + 2
Hope this helps :)
The slope intercept format is y = -1 / 3x + 2
The slope intercept formula is represented as follows
y = mx + bwhere
m = slope
b = y-intercept
Therefore, let's find m using the coordinates (-9, 5)(-3, 3)
m = 3 - 5 / -3 - (- 9) = -2 / 6 = - 1 / 3
let's find b using the coordinate(-3, 3)
3 = -1 / 3 (-3) + b
3 = 1 + b
b = 2
Finally,
y = -1 / 3x + 2
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hat is the equation of the trend line for the bivariate data shown in the scatter plot? Scatter plot shows trend line for bivariate data with coordinates (0, 0), (2, 6).
Answers
The trend line for the bivariate data shown in the scatter plot has the equation Y=3x
To determine the slope for a straight line (y=a*x+b)we take the two points that are shown and apply the following equation:
[tex]a= \frac{(y2-y1)}{(x2-x1)}= \frac{(6-0)}{(2-0)}=3 [/tex]
To determine the intercept we put the slope which we calculated into the equation for the point (2,6) and clear for b
[tex]y=a*x+b \\ 6=3*2+b \\ 6=6+b \\ b=0[/tex]
So, the slope is 3 and the intercept is 0.
Answer:
the slope is 3 and the intercept is 0.
Step-by-step explanation:
Subtract: 12 3/8 - 8 1/5
A) 4 2/3
B) 4 1/20
C) 4 2/13
D) 4 7/40
Answers
12 15/40 - 8 8/40 = 4 7/40 and the answer is D. Hope it helps! If you could vote my answer as the brainiest, that would be awesome! :)
Answer:
the answer is d
Step-by-step explanation:
18.65 × 6.8 how do you do it
Answers
* 6.8
_____
126.82
18.65
x 6.8
-----------
14920
+ 11190
------------
126820
Now you need to place the decimal point.
The original numbers are 18.65 and 6.8.
18.65 has 2 decimal places to the right of the decimal point.
6.8 has 1 decimal place to the right of the decimal point.
Add the number of decimal places to the right of the decimal point of both numbers: 2 + 1 = 3.
The answer, 126820, must also have 3 decimal places to the right of the decimal point, so we count digits starting at the right side (with the 0, and we place the decimal point after the third digit (to the left of the third digit).
126.820
Since a final zero after the decimal point has no value, we simply write 126.82
Answer: 126.82
Make these fractions mixed numbers
15/4
51/25
17/12
16/6
92/30
Answers
2) 51/25 = 2 1/25
3) 17/12 = 1 5/12
4) 16/6 = 2 2/3
5) 92/30 = 3 1/15
Please Help!!!
A system of equations is graphed on the coordinate plane.
2y=3x−14y=6x−2
Graph of an equation that slopes up and toward the right.
Select the number of solutions for the system of equations from the drop-down menu.
Answers
What is 549,423 rounded to the nearest thousand
Answers
Rounding 549,423 to the nearest thousand involves looking at the hundreds of places. Since it's lower than 5, the thousand's place remains the same, rendering 549,000 as the rounded number.
Explanation:Rounding 549,423 to the nearest thousand involves examining the hundreds place, which contains a 4. In rounding, if this number is less than 5, you leave the thousands place as it is and change everything to its right to zeros. If it's 5 or more, you increase the thousands place by one and change everything to its right to zeros.
Therefore, because the number in the hundreds place in 549,423 is 4 - which is less than 5 - we don't round up. We leave the thousands place '549' as is and change the hundreds, tens, and ones place to zeros. Hence, 549,423 rounded to the nearest thousand is 549,000.
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10 POINTS PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!
A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades that like or do not like playing tennis. Like playing tennis Do not like playing tennis 7th Grade 0.42 0.58 8th Grade 0.47 0.53 Which conclusions can be made from the table? Select each correct answer. For both grades, more students like playing tennis than did not like playing tennis. Among the 7th graders, more students like playing tennis than do not like playing tennis. The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis. Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.
Answers
then the amount of 7th graders like tennis is .58
and the 8th graders is .47.
Let me know if I'm wrong
Hope it helps
Answer:
The 8th graders have a larger % of students that do not like playing tennis than do like playing tennis
Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.
those are the correct answer
Step-by-step explanation:
I did the test proof VVV VVV VVV
Tilly the dog barks every 9 seconds.
Billy the dog barks every 12 seconds.
They both bark at the same time.
After how many seconds will they next bark at the same time?
Answers
9 = 3 x 3
12 = 3 x 4
The LCM is found by multiply the highest number of each factor.
LCM = 3 x 3 x 4 = 36.
There are 7 cards with a picture of a rose and 2 cards with a picture of a daisy. Alfa keeps all the cards face down on the table with the pictures hidden and mixes them up. She then turns over one card face up and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alfa turns over has a rose on it? 6 over 9 6 over 8 7 over 9 7 over 8
Answers
Answer: [tex]\dfrac{6}{8}[/tex] or 6 over 8.
Step-by-step explanation:
Given: The number of card having rose on it = 7
The number of card having daisy on it = 2
Then the total number of cards on table = [tex]7+2=9[/tex]
After removing one rose card , the total number of cards left on table = 8
The number of rose card left on table = 6
Now, the required probability is given by :-
[tex]\text{P(Rose)}=\dfrac{\text{Number of rose card }}{\text{Total cards}}\\\\\Rightarrow\text{P(Rose)}=\dfrac{6}{8}[/tex]
Hence, the probability that the card that Alfa turns over has a rose on it = [tex]\dfrac{6}{8}[/tex]
solve: 2x+6-10x=30
PLEASE ANSWER CORRECTLY WILL MARK AS BRAINLIEST ANSWER
(dont do it just for points or i will report u)
Answers
Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L
Answers
i belive the answer is c
Answer:
Whats up? Its c
Step-by-step explanation:
What is the answers to this math worksheet ?
Answers
Algebraic expression
Seven points less than yesterday’s score
Answers
The algebraic expression for the given statement is x-7.
The given statement is seven points less than yesterday’s score.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the score of yesterday be x.
Here, expression is x-7
Therefore, the algebraic expression for the given statement is x-7.
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A 14-ounce box of cereal sells for $2.10. what is the unit rate.
Answers
Final answer:
To find the unit rate for a 14-ounce box of cereal selling for $2.10, divide the price by the number of ounces to get $0.15 per ounce.
Explanation:
The unit rate for a 14-ounce box of cereal selling for $2.10 can be calculated by dividing the price of the box by the number of ounces it contains. To find the unit rate, you would perform the following calculation:
Unit rate = Price per box ÷ ounces per box
Unit rate = $2.10 ÷ 14 ounces
Unit rate = $0.15 per ounce
Therefore, the unit rate or cost per ounce for the cereal is $0.15.
A spherical model of planet Earth has a radius of 3 ft.
What is the approximate volume of the model of planet earth?
Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Enter your answer in the box.
Answers
Answer:
The approximate volume of the model of planet earth is [tex]113.04\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=3\ ft[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(3^{3})=113.04\ ft^{3}[/tex]
The approximate volume of a spherical model of Earth with a radius of 3 ft is calculated using the formula V = (4/3)πr³, which results in a volume of 113.04 cubic feet when rounded to the nearest hundredth.
Explanation:To calculate the approximate volume of a spherical model of planet Earth with a radius of 3 ft, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the values, we get V = (4/3) × 3.14 × (3 ft)³. Performing the calculation, we first cube the radius (3 ft × 3 ft × 3 ft = 27 ft³), then multiply by π (approximately 3.14), and finally multiply by 4/3. So, V = (4/3) × 3.14 × 27 ft³ = 113.04 ft³.
When we round to the nearest hundredth, the approximate volume of the model is 113.04 cubic feet.
What is the total surface area of the figure shown?
Answers
[surface area of the figure]=2*[(12+30)*14]+2*[24*14]+2*[18*10]+2*[24*12]
[surface area of the figure]=1176+672+360+576-----> 2784 in²
the answer is
the surface area of the figure is 2784 in²
Cubic bins with closed tops are used to transport melons to the farmers market. The edge length of each bin is 1.5 m. What is the surface area of the outside of one of the bins? Drag and drop the correct answer into the box. 3.375 91 1.25 13.5
m??
Answers
= 6 * 1.5^2 = 13.5 m^2 Answer
Answer: [tex]13.5\text{ m}^2[/tex]
Step-by-step explanation:
Given: Cubic bins with closed tops are used to transport melons to the farmers market.
The edge length of each bin = 1.5 m
We know that the surface area of cube is given by :-
[tex]\text{S.A.}=6(\text{edge})^2\\\\\Rightarrow\text{S.A. of cubic bin}=6(1.5)^2\\\\\Rightarrow\text{S.A. of a cubic bin}=13.5\text{ m}^2[/tex]
Hence, the surface area of a cubic bin=[tex]13.5\text{ m}^2[/tex]
Find the diagram a || b
Answers
Which equation can be used to determine p, the cost of b swim bags? p = 7.50 + b b = 7.50 + p p = 7.50b b = 7.50p
Answers
Answer:
I think its p= 7.50b
Step-by-step explanation:
I picked p= 7.50 + b and b= 7.50 + p but they were both wrong so im assuming that its p= 7.50b
Answer:
Your answer would be C. p = 7.50b.
Step-by-step explanation:
Hope this helps!! :)
Which properties did Jacques use to solve the following problem? (You may select more than one answer)
1 x (6 + 28)
(1x6) + (1x28)
6 +28
34
1.Distributive Property
2. Identity property of addition
3. Assoc property of addition
4. Identity property of multilpilication
Answers
Answer: Your answer is 1. and 4.
Step-by-step explanation:
Mark me brainliest.
Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally. Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets (___)
muffins.
Answers
15 for 6 that is 2.5 per person
She would get 4 muffins
Hope this helps
the total number of mini muffins Carmine gets is 4.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally.
In first group,
Each student will get = 12/8
Each student will get = 3/2 mini muffin
In second group,
each student will get = 15/6
each student will get = 5/2
Since, carmine is in both the groups,
She will get = 5/2 + 3/2
Carmine will get total mini muffin = 8/2 = 4
Therefore, Carmine will have 4 muffins for herself.
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