Answer:
-162
Step-by-step explanation:
that the answer
Answer:
-162
Step-by-step explanation:
Multiply: −4 + [12 × (−8)] – 62
Remover parentheses: -4 + (-96) – 62
Calculate sum: -4 – 96 – 62
What is the surface area of a cylinder with radius x + 3 and height x + 11?
Answer:
A≈263.89
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378
Suppose that f(x) = a + b and g(x) = f^-1(x) for all values of x. That is, g is
the inverse of the function f.
If f(x) - g(x) = 2022 for all values of x, determine all possible values for an and b.
Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.
Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.
Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.
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Divide 75 into the ratio 1:3:5
Answer:
8.3 : 25 : 41.67
Step-by-step explanation:
75 into 1 : 3 : 5
1+3+5 = 9
9 shares in total
-
75 / 9 = 8.33333333
8.33333333 x 3 = 25
8.33333333 x 5 = 41.6666667
1 : 3 : 5
8.3 : 25 : 41.67
or
8 : 25 : 42 (rounded)
HEY! PLEASE HELP ME WITH THIS MATH QUESTION! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU (you will also get points)
THANKS!!xoxo
Step-by-step explanation:
10.00 - 4.84 = 5.16
(Find how much Tim paid)
Since the torch costs 11 times as much, it is 11 units, and the battery costs 1 unit. So, 12 units is $5.16.
Find 1 unit which is the battery:
12 units = $5.16
1 unit = $0.43
Answer: $0.43
Please solve in a big hurry!:
will name the Brainliest!!!
Answer:
B.
4x+9 = 2x-1
Step-by-step explanation:
Answer:
Third one
Step-by-step explanation:
nine more than four times a number:
4x+9
x is the "mystery number"
"is the same as" is just another way of saying "equals"
one less than twice the number ("the number" is just x):
2x-1
put them all together:
4x+9=2x-1
don't over look it; break it down
<3
!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)
The quotient and remainder are x³ -5x² + 10x - 17 and 55.
What is Synthetic division?
When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.
Here, (x+2) is a linear factor which indicates that synthetic division can be applied.
So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.
(refer the attached solution)
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joseph earned a score of 516 on exam a that had a mean of 600 and a standard deviation of 40. he is about to take exam b that has a mean of 76 and a standard deviation of 20. how well must joseph score on exam b in order to do equivalently well as he did on exam a? assume that scores on each exam are normally distributed.
Joseph must score at least 32 on exam B to do equivalently well as he did on exam A.
To determine how well Joseph must score on exam B in order to do equivalently well as he did on exam A, we need to find the equivalent z-score for his exam A score and then use it to find the corresponding score on exam B.
First, we find the z-score for Joseph's exam A score:
z = (x - mu) / sigma
z = (516 - 600) / 40
z = -2.1
The z-score of -2.1 indicates that Joseph's exam A score is 2.1 standard deviations below the mean.
To find the equivalent score on exam B, we use the formula:
z = (x - mu) / sigma
Solving for x, we get:
x = z * sigma + mu
x = -2.1 * 20 + 76
x = 32
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A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.
We can find the bat's wholesale cost by working backwards -
Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.
Therefore, the wholesale cost of the bat is $8.
Happy to help!
Answer:
The bat's wholesale cost is $8
Step-by-step explanation:
You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.
What is the simplified form of each expression? 2x + 5x + 4x
Answer:
2x + 5x +4x (since none of them have exponents, they're all like terms. you add them as if the x wasn't even there, it just trails along.)
11x is your answer :)
Step-by-step explanation:
Answer: \(11x\)
Step-by-step explanation:
Collect Like Terms:
\(2x+5x+4x\)
\((2+5+4)x\)
Calculate the Sum
\((11)x\)
Please mark brainliest if this helped you :)
There are 5 Christmas trees 3 got cut off, then 8 more grew how many trees are there (btw this is my lil sis)
Answer:
10
Step-by-step explanation:
5 - 3 + 8 = 2 + 8 = 10
Have a nice day!
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
4. Maliyah has 3 54 cups of dough for baking bread. Each loaf of bread requires96 of a cup of dough. What is the exact number of loaves that Maliyah canmake from the dough?
Write 3 3/4 as a fraction:
\(3\frac{3}{4}=3+\frac{3}{4}=\frac{12}{4}+\frac{3}{4}=\frac{15}{4}\)Use conversion factor to find the exact number of loaves that Maliyah can make with 3 3/4 (15/4) cups of dough.
1 loaf requires 1/6 of cup of dough.
\(\frac{15}{4}\text{cups}\cdot\frac{1\text{loaf}}{\frac{1}{6}\text{cup}}=\frac{15}{4}\text{cups}\cdot6\frac{\text{loaf}}{\text{cup}}=\frac{90}{4}\text{loaves}=\frac{45}{2}\text{loaves}\)You can write the answer as a mixed number:
\(\frac{45}{2}=\frac{44}{2}+\frac{1}{2}=22\frac{1}{2}\)Then, with 3 3/4 cups of dough Maliyah can make 22 1/2 (45/2) loaves of bread.
Point R is located at ( 3, 1) and point S is located at ( 3, -6). What is the distance between points R and S?
Group of answer choices
7 units
9 units
3 units
5 units
The distance between point R(3, 1) and S(3, -6) is 7 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:
\(AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)
Point R is located at ( 3, 1) and point S is located at ( 3, -6). Hence:
\(RS=\sqrt{(-6-1)^2+(3-3)^2}=7\ units\)
The distance between point R and S is 7 units
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Answer:
7 unitsStep-by-step explanation:
just count down which gives you 7
What is -36 4/9 -(10 2/9) -(18 2/9) equal
Answer:
-64.8
Step-by-step explanation:
Answer:
-64.8
Step-by-step explanation:
Someone who knows what they doing
Answer: 25.12 and 12.56
Step-by-step explanation:
in the formula, you will notice that you are trying to identify the base(b) and calculate the volume(V). and they are written at the top of the page, 12.56 cm^2 and 25.12cm^3. so the missing things are 25.12 and 12.56.
a group of penguins swan 4/5 miles in 1/3 hour. How long did it take the penguins to swim 12 miles
Answer: 5 hours
Step-by-step explanation:
4/5 = 1/3 hour.
1 hour = 12/5 miles swam, 2 2/5 = 2.4
2.4 x 5 = 12.
1 hour x 5 = 5 hours.
It took the group of penguins 5 hours to swim 12 miles.
Hope this helps!
A cyclist travels at 10 km/hr for 2 hours and then at 13 km/hr for 1 hour.
Find his average speed.
Select the expression equivalent to (-4x + 3) - (-2x + 5). SHOW YOUR WORK
-2x
-2x - 2
-6x - 2
-6x + 8
Answer:
-2x-2
Step-by-step explanation:
(−4x+3)−(−2x+5)
To find the opposite of −2x+5, find the opposite of each term.
−4x+3−(−2x)−5
The opposite of −2x is 2x.
−4x+3+2x−5
Combine −4x and 2x to get −2x.
−2x+3−5
Subtract 5 from 3 to get −2.
−2x−2
Test the series for convergence or divergence.
5/6 - 5/8 + 5/10 - 5/12 + 5/14 - . . .
We can observe that the series is an alternating series, where the terms alternate in sign. Therefore, we can use the Alternating Series Test to determine convergence or divergence. The Alternating Series Test states that if a series alternates in sign, and the absolute value of each term in the series decreases and approaches zero, then the series converges.
In this case, the absolute value of each term is 5/6, 5/8, 5/10, etc. We can see that the denominators are increasing by 2 each time, so the absolute value of each term is decreasing and approaching zero. Therefore, we can apply the Alternating Series Test.
The Alternating Series Test also states that we must check if the limit of the absolute value of the terms is zero. We have:
lim (n→∞) 5/(2n) = 0
Since the limit of the absolute value of the terms is zero, and the series alternates in sign and the absolute value of each term decreases, the series converges.
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One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet? Round your answer to the nearest tenth of a foot.
2×12=24
24+3= 27
12*12=144
144/24=6
What is the easiest way to memorize trigonometric identities?
One way to memorize trigonometric identities is to practice using them in context and to understand the underlying concepts.
Memorizing trigonometric identities can be challenging, but one effective way to do it is to understand the concepts behind them. Start by learning the basic identities such as the Pythagorean identities, and then move on to more complex ones.
Practice using them in context, such as solving trigonometry problems or graphing trigonometric functions. You can also use flashcards to quiz yourself or try mnemonic devices to help you remember the identities.
Additionally, you can try to relate the trigonometric identities to real-world examples, like in physics, astronomy or engineering.Another way to make it easier is to memorize the identities by finding patterns and connecting them together.
For example, all the reciprocal identities have a reciprocal relationship, and all the quotient identities have a quotient relationship. Once you know the pattern and relationship, it becomes easier to remember.
Finally, it's important to remember that memorization is not the only way to understand trigonometric identities. Understanding the concepts behind them and being able to apply them in different situations is more important than being able to recite them by memory.
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Alex borrows $2500 from a bank that has a rate of 5.5% with continuous compounding. How much does he owe after 2 years? Round to the nearest hundredths.
Answer:
$5282.70
Step-by-step explanation:
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818
N = number of years
r = interest rate
2500x e^0.055 x 2 = 5282.70
true or false
mathematics
Answer:
both statements are true
8/x-12=-8/x
What is the domain restriction from left side of equation?
The domain restriction in the left side of the equation is x = 12.
What is the domain restriction from left side of equation?Here we have the equation:
8/(x - 12) = -8/x
The domain restrictions are the values of x such that we will have a zero in one of the denominators (this is because we can't divide by zero)
Then we need to remove these values.
We can see that in the left side of the equation, when x = 12 the denominator becomes zero, so that is the domain restriction.
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Find the tangential and normal components of the acceleration vector.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.
In mathematical terms:
at = dV/dt
an = (V^2) / R
where:
V is the velocity vector
t is time
R is the radius of curvature of the path.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
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use the divergence theorem to compute the net outward flux of the vector field f across the boundary of the region d, where d is the region in the first octant between the planes zxy and zxy.
The divergence theorem is used to compute the net outward flux of the vector field across the boundary of a region in the first octant.
The divergence theorem, also known as Gauss's theorem, relates the flux of a vector field across a closed surface to the divergence of the field within the enclosed region.
In this case, we are given a region "d" in the first octant between the planes z = xy and z = xy. To compute the net outward flux of the vector field "f" across the boundary of region "d", we can apply the divergence theorem.
The divergence theorem states that the flux across the boundary is equal to the triple integral of the divergence of the vector field over the volume enclosed by the boundary.
By evaluating this triple integral, we can determine the net outward flux.
The net outward flux represents the total flow of the vector field through the surface boundary, taking into account both the magnitude and direction of the field.
It provides valuable information about the behavior and characteristics of the vector field within the given region.
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Help plz.. plz plz lmz
Answer:
seven hundred and twenty nine
How do I find the Improper fraction for
\(2 \frac{n}{2} \)
Estimate the product by finding two numbers the exact answer is between 7×3481
The value of the numerical expression (7 x 3481) will be 24,367.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
7 and 3481
Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have
⇒ 7 x 3481
⇒ 24,367
The value of the numerical expression (7 x 3481) will be 24,367.
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what is the range of this graph
Answer:
I don't know sorry.....