Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 17 6
Female 34 12
Since P(mail |fail)=________ and P(male)=______, the two results are_____ so the events are________
Answer:
Step-by-step explanation:
From the given information:
Passed Failed Total
Male 17 6 23
Female 34 12 46
Total 51 18 69
\(P(male | fail) = \dfrac{P(male \cap fail)}{ P(fail)}\)
\(P(male | fail) = \dfrac{\dfrac{6}{69} }{\dfrac{18}{69}}\)
\(P(male| fail) = \dfrac{1}{3}\)
\(P(male | fail) = 0.333\)
\(P(male) = \dfrac{23}{69}\)
\(P(male) = \dfrac {1}{3}\)
\(P(male) = 0.333\)
The two results are equal:
So the events are dependent.
HELP NEED ASAP PLS HELP
Answer:
MN = 56
Step-by-step explanation:
This can only be solved if we know the relation of MN to other dimensions of the trapezoid. If we assume MN is a midline (AM=MD, BN=NC), then MN is the average of the base lengths:
MN = (AB +CD)/2
2MN = AB +CD . . . . . multiply by 2
2(12x -4) = 8x +72 . . . fill in the given values for the segment lengths
24x -8 = 8x +72 . . . . . eliminate parentheses
16x = 80 . . . . . . . . . . . add 8-8x
x = 5 . . . . . . . . . . . . . . divide by 16
MN = 12(5) -4 = 56 . . . find the length of MN using its formula
What's the slope and y-intercept?
Help please!!
Find the vault of x. Round to the nearest tenth
To solve this question, use the law of cosines:
\(c^2=a^2+b^2-2*a*b*cosC\)In this question:
c = x
C = 73°
a = 47
b = 45
Substituting the values, we have:
\(x^2=47^2+45^2-2*47*45*cos(73)\)And solving the equation:
\(\begin{gathered} x^2=2209+2025-4230*cos(73) \\ x^2=2209+2025-1236.7 \\ x^2=2997.3 \\ \end{gathered}\)Taking the square root of both sides:
\(\begin{gathered} \sqrt{x^2}=\sqrt{2997.3} \\ x=54.7 \end{gathered}\)Answer: x = 54.7 units.
Can someone help me with this pls its due td pls
The measures are given as follows:
x = 2.m < A = 110º.m < ABD = 34º.How to obtain the measures?On a parallelogram, the opposite sides are congruent, hence the value of x is obtained as follows:
2x = 4
x = 2.
Opposite angles are congruent, meaning that they have the same measure, hence the measure of angle A is given as follows:
m < A = m < C = 110º.
Consecutive angles are supplementary, meaning that the sum of their measures is of 180º, hence the measure of angle B is given as follows:
m<B = 180º - 110º = 70º.
Considering the angle addition postulate, the measure of angle ABD is given as follows:
m < ABD = 70 - 36
m < ABD = 34º.
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Describe how the graph of the function is a transformation of the original function f.
y=f(x+16)
The graph of the function y = f(x + 16) is a transformation of the original function f. This transformation has shifted the graph of f to the right by 16 units on the x-axis. This means that the value of x in the original function has been increased by 16, which has an effect on the corresponding value of y in the transformed function.
For example, if the point (a, b) is on the graph of f, then the point (a + 16, b) will be on the graph of y = f(x + 16). The x-coordinate of the point has been increased by 16, and since the transformation is a horizontal shift, the y-coordinate remains unchanged.
In summary, the graph of y = f(x + 16) is a reflection of the graph of f about the vertical axis. The transformation has the effect of shifting the graph to the right, but preserving the shape and overall form of the original function.
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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When constructing inscribed polygons and parallel lines, how are the steps similar?
1. A protractor and ruler are used to take accurate measurements.
2. A compass is used to draw arcs.
3. Four right angles are created.
4. There are no similarities.
Answer:
Give me a heart and 5 stars
Step-by-step explanation:
Answer: A Intersecting arcs are created and connected.
Step-by-step explanation: Intersecting arcs are created and connected.
A
6.
(02.01 MC)
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 4, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″? (1 point)
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis
Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.
How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?
To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.
Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).
Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.
Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:
Translated according to the rule (x, y) → (x + 8, y + 2)
Reflected across the x-axis.
The other options can be ruled out as they do not correctly reflect the transformation that was applied.
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plsss explain nd i’ll give brainliest answer
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
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Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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Which point is part of the solution of the inequality y ≤ |x+2|-3A.(-1,-1)B.(1,0)C.(0,0)D.(0,1)
We are going to test all options to see which is true and false.
The one that is true will be the point that is part of the solution.
\(\begin{gathered} A) \\ (-1,-1) \\ y\leq\lvert x+2\rvert-3 \\ -1\leq\lvert-1+2\rvert-3 \\ -1\leq\lvert1\rvert-3 \\ -1\leq1-3 \\ -1\leq-2 \\ \text{Not true, so the point (-1,-1) is not a part of the solution} \end{gathered}\)We will move to the next option and test:
\(\begin{gathered} B) \\ (1,0) \\ y\leq\lvert x+2\rvert-3 \\ 0\leq\lvert1+2\rvert-3 \\ 0\leq\lvert3\rvert-3 \\ 0\leq3-3 \\ 0\leq0 \\ \text{The above solution is true, so it is a point that is part of the solution.} \\ \text{The correct answer is option B.} \end{gathered}\)Simplify the given expression.
6•9^3=
Answer:
4,374
Step-by-step explanation: solve the exponent first then do the multiplication
Draw a triangle between the houses of Jose, Ed, and Brad. Determine whether this triangle is a scalene, isosceles, or equilateral triangle. Explain your reasoning?
The distance between two points is the number of units between the points
See attachment for the required triangleThe triangle is a scalene triangleFrom the graph, we have the following coordinates
\(\mathbf{J = (-3,3)}\)
\(\mathbf{E = (-2,-1)}\)
\(\mathbf{B = (3,1)}\)
The distance between their houses is calculated using the following distance formula
\(\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\)
So, we have:
\(\mathbf{JE = \sqrt{(-3 - -2)^2 + (3 - -1)^2}}\)
\(\mathbf{JE = \sqrt{17}}\)
\(\mathbf{JB = \sqrt{(-3 - 3)^2 + (3 -1)^2}}\)
\(\mathbf{JB = \sqrt{40}}\)
\(\mathbf{EB = \sqrt{(-2 - 3)^2 + (-1 -1)^2}}\)
\(\mathbf{EB = \sqrt{29}}\)
None of the side lengths are equal.
Hence, the triangle is a scalene triangle
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HELP ME OUT PLEASE!!!!!
Answer:
y = -1/6x - 7/3
Step-by-step explanation:
slope = rise/run
(y2 - y1) / (x2 - x1)
ordered pairs: (-2,-2) and (4,-3)
-3 - (-2) = -1
4 - (-2) = 6
-1/6 = -1/6
m = -1/6
find b
take one ordered pair
y = mx + b
-3 = (-1/6)(4) + b
-3 = -4/6 + b
-3 + 4/6 = -2 2/6
-2 2/6 = -14/6
-14/6 = -7/3
b = -7/3
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
What is the volume, in cubic inches, of the right rectangular prism shown below?
8 in.
123 In
384 cubic units
O 385 cubic units
450.cubic units
25 cubic units
Answer:
450 cubic inches
Step-by-step explanation:
the formula to get volume is l×w×h. 12.5×4.5×8=450
A cell phone company uses the function below to determine the cost, C, in dollars for g gigabytes of data transfer.
The value of the function at g = 1 and g = 4 will be 55 and 105, respectively.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
C(g) = 55 if 0 < g < 2
C(g) = 25g + 5 if g ≥ 2
The value of the function at g = 1 is given as,
C(1) = 55
The value of the function at g = 4 is given as,
C(4) = 25(4) + 5
C(4) = 100 + 5
C(4) = 105
The value of the function at g = 1 and g = 4 will be 55 and 105, respectively.
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Solve for the missing side in the right triangle.
A) 5
B) 12
C) 13
D) 17
Answer:
c) 13
Step-by-step explanation:
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13\)
Answer:
C) 13
Step-by-step explanation:
Using the formula: \(a^{2} +b^{2}=c^{2}\), we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: \(5^{2} + 12^{2} =c^{2}\) and you get 25 + 144 = \(c^{2}\) or 169 = \(c^{2}\). You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.
74752/360 simplified as a whole fraction
Answer:
\(\frac{9344}{45}\)
Step-by-step explanation:
\(\frac{74752}{360}\)
Simplify by 8, and we get
\(\frac{9344}{45}\)
We can't simplify any more, so the answer is \(\frac{9344}{45}\)
The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.
Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case, use the Euclidean algorithm.
Let's find the GCD using the Euclidean algorithm:
Divide 74752 by 360:
74752 ÷ 360 = 207 R 272
Divide 360 by 272:
360 ÷ 272 = 1 R 88
Divide 272 by 88:
272 ÷ 88 = 3 R 8
Divide 88 by 8:
88 ÷ 8 = 11 R 0
Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.
Step 2: Divide both the numerator and denominator of the fraction by the GCD.
74752 ÷ 8 = 9344
360 ÷ 8 = 45
The simplified whole fraction is 9344/45.
A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.
Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
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A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.
Answer:
$5350
Step-by-step explanation:
there are 15 squares and nine circles what is the simplest ratio of circles to total shapes?
Answer:
3 to 8
Step-by-step explanation:
There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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please help.... fast
Answer:
False.
Step-by-step explanation:
To be congruent, all sides of the triangles must be congruent but here one of the sides aren't shown to be congruent.
Therefore, it is false.
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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0ne and two third plus two thirds
Answer:its 2 1/3
or two and one thirds
Step-by-step explanation:
Janna wants to make s'mores at a backyard campfire. The table below shows the parts of marshmallows to graham crackers to make s'mores.
S'mores Marshmallows Graham Crackers
4 8 12
13
At this rate, how many marshmallows and graham crackers will Janna use to make 13 s'mores?
Janna will use 17 marshmallows and 21 graham crackers to make 13 s'mores.
Janna will use 26 marshmallows and 39 graham crackers to make 13 s'mores.
Janna will use 16 marshmallows and 24 graham crackers to make 13 s'mores.
Janna will use 39 marshmallows and 26 graham crackers to make 13 s'mores.
Answer:
Janna will use 26 marshmallows and 39 graham crackers to make 13
Step-by-step explanation:
S'mores Marshmallows Graham Crackers
4 8 12
13
Look at the first line on the table.
For 4 s'mores, 8 marshmallows are used.
8/4 = 2
2 marshmallows are used per s'more.
For 4 s'mores, 12 graham crackers are used.
12/4 = 3
3 graham crackers are used per s'more.
For 13 s'mores,
13 × 2 = 26
13 × 3 = 39
26 marshmallows and 39 graham crackers are needed.
Complete the table:
S'mores Marshmallows Graham Crackers
4 8 12
13 26 39
Answer:
Janna will use 26 marshmallows and 39 graham crackers to make 13
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation: