Here's the problem:
The product of three integers is -4. Give me 1 expression that will result in a product of -4.
Answers
The three integers can be anything that leads down to the product of negative 4 or -4 is negative -2 x -1 x -2 i think this is it since i am also learning about this in 7th grade k12
Related Questions
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
Answers
The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
Given parallelogram A B C D below, DE = 31 If EB = x - 7.
By the definition, then the equation is given as,
EB = DE
x - 7 = 31
Simplify the equation, then we have
x - 7 = 31
x = 31 + 7
x = 38
The value of the variable 'x' is 38.
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giving point and brainliest
Answers
Answer:
18
Step-by-step explanation:
Given expression:
\(2 \times (6 \div 2 + 8) - 4\)
Step-1: Simplify the expression in the parenthesis using PEMDAS
Expression obtained Operation of PEMDAS
\(\implies 2 \times (6 \div 2 + 8) - 4\)
\(\implies 2 \times (3 + 8) - 4\) D - Division
\(\implies 2 \times (11) - 4\) A - Addition
\(\implies2 \times 11 - 4\)
Step-2: Simplify the expression obtained from step-1
Expression obtained Operation of PEMDAS
\(\implies 2 \times 11 - 4\)
\(\implies 22 - 4\) M - Multiplication
\(\implies 18\) S - Subtraction
what is the 6th term of the geometric sequence where a1 = −4,096 and a4 = 64? a. −1 b. 4 c. 1 d. −4
Answers
To find the 6th term of the geometric sequence, we first need to determine the common ratio (r) of the sequence. We can do this by using the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
We know that a1 = -4,096 and a4 = 64, so we can substitute these values into the formula to get:
a4 = a1 * r^(4-1)
64 = -4,096 * r^3
Dividing both sides by -4,096 gives:
r^3 = -64/4096
r^3 = -1/64
Taking the cube root of both sides gives:
r = -1/4
Now that we know the common ratio is -1/4, we can use the formula for the nth term of a geometric sequence to find the 6th term:
a6 = a1 * r^(6-1)
a6 = -4,096 * (-1/4)^5
a6 = -4,096 * (-1/1024)
a6 = 4
Therefore, the 6th term of the geometric sequence is 4, so the answer is (b) 4.
To find the 6th term of the geometric sequence, we first need to determine the common ratio (r) of the sequence.
The 6th term of the geometric sequence where a1 = −4,096 and a4 = 64 is d. -4.
Given, a1 = -4096, a4 = 64We know that, the nth term of a geometric progression with first term a and common ratio r is given by an = ar^(n-1)Let's find the common ratio of the sequence.a4 = ar^3⟹64
= -4096r^3⟹r^3 = -\(\frac{64}{4096}\) = -\(\frac{1}{64}\)Thus, r = -\(\frac{1}{4}\)
The 6th term of the geometric sequence with first term a1 = -4096 and common ratio r = -\(\frac{1}{4}\) is given by;a6 = a1 * r^5Substituting the values of a1 and r, we get;a6 = -4096 * (-\(\frac{1}{4}\))^5⟹a6 = -4096 * \(\frac{1}{1024}\)⟹a6 = -4
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A package of 6 pairs of insulated socks cost 49.74 What is the unit price of the pairs of socks?
Answers
49.74 / 6
= 8.29
Phythagorean theorem help plsss rnnn
Answers
Answer:
8 m
Step-by-step explanation:
Diagonal: Hypotenuse
Let the hypotenuse (diagonal) be c, Stafford street be a, and let Silvergrove Avenue be b.
Formula: a^2 + b^2 = c^2
Lets plug them in!
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2= 100 - 36
b^2 = 64
64 is the exponential value of b, meaning to lower it to its original terms, we apply the opposite of squaring. Which is finding the square root.
\(\sqrt{64}\) = 8
Therefore Silvergrove Avenue is 8 m.
Answer:
8
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
c (the hypotenuse, or longest leg) = 10, a or b = 6
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
Find the magnitude and direction of the equilibrant of each of the following systems of forces.
A) Forces of 32N and 48N acting at an angle of 90° to each other
Answers
Answer: To find the magnitude and direction of the equilibrant of a system of forces, we first need to find the resultant of the forces, and then find the force that will balance the resultant.
For the given system of forces, we can use the Pythagorean theorem to find the magnitude of the resultant:
R = sqrt(32^2 + 48^2)
= sqrt(1024 + 2304)
= sqrt(3328)
≈ 57.7 N
The direction of the resultant can be found using trigonometry:
tan(theta) = opposite / adjacent
where theta is the angle between the forces, which is 90° in this case. We can choose either force as the adjacent side, and the other force as the opposite side. Let's choose the 32 N force as the adjacent side:
tan(theta) = 48 / 32
theta = atan(48/32)
≈ 56.3°
This means that the resultant has a magnitude of approximately 57.7 N and is directed at an angle of approximately 56.3° to the 32 N force.
To find the equilibrant, we need to find a force that has the same magnitude as the resultant but acts in the opposite direction. We can use the same magnitude and opposite direction to find the equilibrant as:
E = -R
= -57.7 N
This means that the equilibrant has a magnitude of 57.7 N and acts in the opposite direction to the resultant, which is at an angle of approximately 56.3° to the 32 N force.
Step-by-step explanation:
Let R be the region in the fourth quadrant enclosed by the x-axisand the curve Y = X^2 - 2KX, where k > 0. if the area of the region R is 36, thenthe value of k is
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9
Answers
We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.
Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:
0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K
So the limits of integration are from X = 0 to X = 2K.
Now we can set up the integral for finding the area of the region R:
∫[0,2K] (X^2 - 2KX) dX
Integrating this expression gives:
[(1/3)X^3 - KX^2] evaluated at 0 and 2K
Plugging in the limits of integration and simplifying, we get:
(8/3)K^3 - 4K^3
Simplifying this expression, we get:
(2/3)K^3 = 36
Solving for K, we get:
K^3 = 54
Taking the cube root of both sides, we get:
K = 3
Therefore, the answer is (B) 3.
To find the value of k, follow these steps:
1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.
2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.
3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K
4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)
5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08
The closest value from the given options is (A) 2.
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Find the area of a right triangle that has one leg with a length of 8cm and a hypotenuse length of 17cm.
*Need it ASAP!!
Answers
Answer:
Step-by-step explanation:
\(b^2=h^2-a^2\\ \\ b^2=17^2-8^2\\ \\ b^2=225\\ \\ b=15\\ \\ A=15(8)/2\\ \\ A=60cm^2\)
consider the curve defined by the equation y+cosy=x+1
Answers
The equation y + cos(y) = x + 1 defines a curve in the xy-plane. The curve represents the relationship between x and y values that satisfy the given equation.
The equation y + cos(y) = x + 1 is a transcendental equation, which means it does not have a simple algebraic solution. To study the curve defined by this equation, we can analyze it graphically or numerically.
By plotting points that satisfy the equation, we can observe the shape and behavior of the curve. The equation combines both algebraic terms (y and x) and trigonometric functions (cos(y)), resulting in a complex relationship between x and y values.
Therefore, the curve represents all the points (x, y) that satisfy the equation, forming a distinct pattern in the xy-plane.
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Bob has a box of chocolates containing 6 chocolate covered almonds, 4 chocolate covered peanuts, and 8 plain chocolates. If the chocolates look identical, what is the probability that the first two chocolates Bob eats will have almonds?
Answers
Answer:
The probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).
Step-by-step explanation:
Given that Bob has a box of chocolates containing 6 chocolate covered almonds, 4 chocolate covered peanuts, and 8 plain chocolates, the total number of chocolates in the box is:
\(\implies \sf Total=6 + 4 + 8 = 18\)
Probability Formula\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)
Therefore, the probability that the first chocolate Bob eats will have almonds is:
\(\implies \sf P(first\;almond)=\dfrac{6}{18}\)
As Bob has eaten one almond chocolate there are now 5 chocolate covered almonds left and a total of 17 chocolates. Therefore, the probability that the next chocolate Bob eats will have almonds is:
\(\implies \sf P(second\;almond)=\dfrac{5}{17}\)
To find the total probability for two or more events, multiply the probabilities. Therefore, the probability that the first two chocolates Bob eats will have almonds is:
\(\begin{aligned}\implies \sf P(first\;almond)\;and\;P(second\;almond) & =\dfrac{6}{18} \times \dfrac{5}{17}\\\\ &=\dfrac{30}{306}\\\\&=\dfrac{5}{51}\\\\&=0.0980392...\\\\&=9.80392...\%\end{aligned}\)
Therefore, the probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).
Determine whether each graph represents a function. Select Yes or No for each graph.
Yes No
Graphl
Graph II
Graph lll
Answers
Answer:
Graph 1 yes
Graph 2 yes
Graph 3 no
Step-by-step explanation:
Graph 1 is a linear function
Graph 2 is a reciprocal function
Graph 3 is not a function
In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
A relation will be a function if for every single x there must be a single y.
As per the given graphs,
In the first and second graphs, for every x value the y has a single value thus it will be a function.
In the third graph, for x there are two y for example at x = -6,(y = 1.4 and y = -6.4 approx) thus it will not be a function.
Hence "In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No".
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MATH HOMEWORK HELP PLEASE I ONLY NEED 22 and 23 DONE
Answers
C. 0.42 I did this right before the pandemic
factorise. X^5+X^4+1.
Answers
Answer:
Answer
5.0/5
2
poojamaurya21
Virtuoso
133 answers
14.9K people helped
Answer:
): "x2" was replaced by "x^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
x6 - x5 + x4 - x3 + x2 - x =
x • (x5 - x4 + x3 - x2 + x - 1)
2.2 Factor x5 - x4 + x3 - x2 + x - 1
Try to factor this 6-term polynomial into (2-term) • (3-term)
Begin by splitting the 6-term into two 3-term polynomials:
-x2 + x - 1 and x5 - x4 + x3
Next simplify each 3-term polynomial by pulling out like terms:
-1 • (x2 - x + 1) and x3 • (x2 - x + 1)
Note that the two simplified polynomials have x2 - x + 1 in common
Now adding the two simplified polynomials we get
(x3 - 1) • (x2 - x + 1)
Mr. Patrick wants to tile his room. When he called a contractor to measure the area of the surface that needed to be tiled, he found it to be 4m². If each tile area is 500cm², how many tiles does he need?
Answers
Answer:
500÷4=125
Step-by-step explanation:
500 divided by 4 is 150 so Mr.patrick needs 150 tilws
Jif peanut butter costs $3.29 for 16 oz. Skippy peanut butter costs $7.69 for 40 oz. Which is the better buy?
Answers
an open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from each corner of the cardboard and folding up the flaps on each side. what size square should be cut out of each corner to get a box with the maximum volume? enter the area of the square and do not include any units in your answer.
Answers
The size of the square that should be cut out of each corner to get a box with a maximum volume is 3 inches x 3 inches.
To calculate this, we need to first find the equation for the volume of the box in terms of the length of the square cut out from each corner. Let x be the length of the square cut out from each corner. Then the length of the base of the box is (63-2x) inches and the width of the base is (15-2x) inches. The height of the box is x inches.
The volume of the box is therefore given by:
V(x) = x(63-2x)(15-2x)
We need to find the value of x that maximizes the volume V(x). To do this, we take the derivative of V(x) with respect to x and set it equal to zero:
dV/dx = 6x² - 156x + 945 = 0
Solving this quadratic equation gives us:
x = 3 inches (ignoring the negative root)
Therefore, the size of the square that should be cut out of each corner to get a box with a maximum volume is 3 inches x 3 inches.
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Use the vertical line test to determine whether the relation is a function
Answers
Answer:
7,2
Step-by-step explanation:
loge (k? + 2k)= log, 60 – loge 4
Answers
for two functions to be equal, the arguments of each must be equal
k = 5
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
Answers
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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The distance between two points on a number line can be found by taking the ____A_____ of the ____B_____ of the coordinates. Fill in the blanks in the previous sentence by matching the letter for each blank with the correct answer.
Answers
Answer:
The distance between two points on a number line can be found by taking the absolute value of the difference of the coordinates.
Step-by-step explanation:
Every point can be paired with a number on a number lineThe coordinate is the number associated with a pointTo find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.Unit 9 test: Trigonometry
What’s the correct answer to this problem
Answers
Answer:
See below.
Step-by-step explanation:
Remember SOHCAHTOA.
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(64) = x / 94
Multiply both sides by 94.
94sin(64) = 94x / 94
Simplify
x = 94sin(64)
x = 84.487 = 84.5
Salim and Medha are comparing results from a 2-day lab experiment. On Monday, Salim's results showed that 0.907 of the particles were charged while Medha"s results showed that 88% of the particles were charged. On Tuesday, Salim's result showed that 0.733 of the particles charged while Medha's results showed that 92% of the particles were charged. Who on what day had the greatest percentage of particles in their experiment?
Answers
Answer:
Medha on Tuesday. 0.92 is greater than the others.
Step-by-step explanation:
What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)
Answers
Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.
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answer the question in the photo
Answers
Answer: input is h, output is k
Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution
Answer:
Step-by-step explanation:
Courtney’s summer camp has 3 canoes for every 7 campers. If there are 70 campers in all, which proportion can be used to calculate how many canoes there are at the camp?
Answers
The proportion which can be used to calculate how many canoes there are at the camp is 3/7 = x/70.
Courtney’s summer camp has 3 canoes for every 7 campers.
Therefore, ratio of canoes to campers is
3 : 7
If there are in total 70 campers then the number of canoes will be x let assume,
So the ratio of canoes to campers in that case will be
x : 70
So by using the property of Proportion we get,
3/7 = x/70
By solving this term we get
x = 30 .
Therefore, The proportion which can be used to calculate how many canoes there are at the camp is 3/7 = x/70.
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if a cake needs 2/3 cup white sugar and 1/4 cup brown sugar, how much total sugar is needed?group of answer choices
Answers
Calculate the sum of the white sugar and the brown sugar quantities. Given that the cake requires 2/3 cup of white sugar and 1/4 cup of brown sugar, we can add this fractions together to find the total sugar needed.
To combine fractions, we first need to find a common denominator. The least common multiple of 3 and 4 is 12. We can convert the fractions to have a common denominator of 12 by multiplying the numerator and denominator of each fraction by appropriate factors.
For the white sugar:
2/3 cup = (2/3) * (4/4) = 8/12 cup
For the brown sugar:
1/4 cup = (1/4) * (3/3) = 3/12 cup
Now, we can add the fractions together:
8/12 cup + 3/12 cup = 11/12 cup
Therefore, the total amount of sugar needed for the cake is 11/12 cup.
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The data represent the grade point averages for 10 students.
3.1, 3.4, 3.1, 3.9, 4.0, 2.5, 2.8, 3.1, 2.9, 3.6
Which box plot represents the data?
Answers
Answer:
C
Step-by-step explanation:
C is the only one that matches the data.
C displays an appropriate radius for the data containing 3.1, 3.4, 3.1, 3.9, 4.0, 2.5, 2.8, 3.1, 2.9, 3.6
Hugo spent $216 on 4 sweaters. If each sweater cost the same
amount, find the cost of one sweater?
Answers
Answer:
$216/4=$54
Step-by-step explanation:
You would have to divide to find the quotient because you have to find the cost of one sweater, and the question gave the total price, when you divide the total, in this case is $216 by the 4 sweaters you should get $54 for one! To check you can do 54x4 and you will get $216!
gof)(6)
A. Find f(6)
B. substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x))
Answers
The value of the composite function (g o f)(6) is 3
How to evaluate the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 3
g(x) = 1/5x
A. Find f(6)
substitute the known values in the above equation, so, we have the following representation
f(6) = 2 * 6 + 3
So, we have
f(6) = 15
For the function (gof)(6), we have
g(x) = 1/5x
This gives
(g o f)(6) = 1/5 * 15
Evaluate
(g o f)(6) = 3
Hence, the composite function has a solution of 3
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Complete question
Given that f(x) = 2x + 3 and g(x) = 1/5x
Compute (gof)(6)
A. Find f(6)
B. substitute the value of g(x) into the function f(x) in place of x
If A= and B=, find BA
Answers
Answer is B
