Answer:
that's false
Step-by-step explanation:
3.2 is like 3x2 which equals 6
Hope this helps sorry if i'm wrong loll
the speed of light is 3.00 x 108 m/s. convert this speed into feet per year.
The speed of the light in feet per year is 9.46 x \(10^{12}\).
The speed of light is 3.00 x 108 m/s. Convert this speed into feet per year.
To convert m/s into feet per year, we need to convert meters to feet, seconds to years, and then calculate the new value.
1 meter = 3.28084 feet
1 year = 31536000 seconds
Therefore, the speed of light in feet per year is:
Speed of light = 3.00 x 108 m/s = (3.00 x 108 m/s)(3.28084 feet/meter)(31536000 s/year)= 9.46 x \(10^{12}\)feet/year
Therefore, the speed of light in feet per year is 9.46 x \(10^{12}\)
Therefore, the speed of light in feet per year = 9.46 x \(10^{12}\)
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A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, a full house is three of a kind plus a pair. What is the probability that one is dealt a full house
Therefore, the probability of being dealt a full house in a 5-card poker hand is approximately 0.00144 or 0.144%.
To calculate the probability of being dealt a full house in a 5-card poker hand, we need to consider the total number of possible hands and the number of favorable hands (full houses).
Total number of possible hands:
There are 52 cards in a standard deck, and we choose 5 cards for our hand. So, the total number of possible hands is given by the combination formula:
C(52, 5) = 52! / (5! * (52 - 5)!)
= 2,598,960
Number of favorable hands (full houses):
To form a full house, we need to consider the choices for the three cards of one denomination and the two cards of another denomination.
Number of choices for the denomination of three cards: We have 13 denominations (2, 3, 4, ..., 10, J, Q, K, A) to choose from.
Number of ways to choose the three cards of one denomination: We have 4 cards of each denomination in a deck. Therefore, we have C(4, 3) = 4 ways to choose three cards of one denomination.
Number of choices for the denomination of two cards: We have 12 remaining denominations (since we already used one for the three cards).
Number of ways to choose the two cards of another denomination: We have C(4, 2) = 6 ways to choose two cards of another denomination.
To calculate the total number of favorable hands, we multiply these choices:
Number of favorable hands = 13 * C(4, 3) * 12 * C(4, 2) = 13 * 4 * 12 * 6
= 3,744
Now we can calculate the probability by dividing the number of favorable hands by the total number of possible hands:
Probability of getting a full house = Number of favorable hands / Total number of possible hands
= 3,744 / 2,598,960
≈ 0.00144
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A manufacturer receives a shipment of 100 parts from a vendor. The shipment will be unacceptable if more than five of the parts are defective. The manufacturer is going to randomly select K parts from the shipment for inspection, and the shipment will be accepted if no defective parts are found in the sample. How large does K have to be to ensure that the probability that the manufacturer accepts an unacceptable shipment is less than 0.1? Hint: We recommend using R to plug in different values of K.
A. 42
B. 22
C. 32
D. 12
Answer:
C. 32
Step-by-step explanation:
The shipment for 100 parts is received by a manufacturer. Shipment will be rejected if more than 5 parts are defective. The manufacturer selects a sample and based on that selected sample he accepts or rejects the whole shipment. The minimum size of the sample should be 32 based on the probability of less than 0.1 and then decision should be made whether to accept or reject the shipment. If no defective part is found in the sample, shipment should be accepted.
3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. The next ring has a 24 in. diameter and is completely filled with oranges. The outermost ring is completely filled with bananas. bananas oranges 6 in. 6 in. apples 6 in. 6 in. (a) What is the probability of randomly selecting an apple from the dish? Show your work. (b) What is the probability of randomly selecting a banana from the dish? Show your work. Answer:
Answer:
a) 11%
b) 56%
Step-by-step explanation:
a) A= πr^2 6^2π= 36π A= 18^2π = 324π
36π/324π = .111111111111111111111111 or 11%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
b) A= πr^2 18^2 π = 324π
A= πr^2 12^2π = 144π
324 – 144 = 180
180π/324π = .5555555555555555555555556 or 56%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
Identify the transformation that was applied to this boomerang.
A. Translation
B. Reflection over the x-axis
C. Reflection over the yaxis
D. Rotation about the origin
Answer:
B. Reflection over the x-axis
The transformation that was applied to this boomerang is Reflection over the x-axis.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
A Figure in the graph.
A translation simply shifts a shape up, down, or from side to side without altering the object's overall appearance.
The following equation can be used to reflect a point or line segment: The point (x,y) will be reflected to from the point (x,−y) that is being mirrored over the x-axis.
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.
A transformation known as rotation about the origin revolves or spins a figure (such as a triangle) around the origin point.
Thus, the transformation here is Reflection over the x-axis.
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To make tea, use 1
6
6
1
teaspoon of tea per ounce of water plus a teaspoon for the pot. Use the inverse to find the number of ounces of water needed if 7 teaspoons of tea are used.
Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:
1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon
Multiplying both sides by the denominator on the right side gives:
x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon
Simplifying the right side gives:
x + 1 = 42 ounces
Subtracting 1 from both sides gives:
x = 41 ounces
Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.
In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.
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suppose the true proportion of voters in the county who support a restaurant tax is 0.55. consider the sampling distribution for the proportion of supporters with sample size n
The mean of this distribution is 0.55
The standard error of this distribution is 0.0384
We have the following:
p=0.55
sample size, n=168
Mean of distribution:
Mean=true proportion of voters who support a restaurant
Mean=p=0.55
Hence, the mean of distribution is 0.55
Standard error of the distribution:
\(=\sqrt{\frac{p(1-p)}{n} }\)
\(=\sqrt{\frac{0.55(1-0.55)}{168} }\)
=0.0384
Hence, the standard error is 0.0384
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The questions was incomplete, the complete question is given below:
Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.
What is the mean of this distribution?
What is the standard error of this distribution?
the ordered pair (1,3) represents a point on the graph for a proportional relationship.
which two ordered pairs could represent other points on the graph of the proportional relationship
The two ordered pairs that could represent other points on the graph are (2,6) and (3,9)
Which two ordered pairs could represent other points on the graphFrom the question, we have the following parameters that can be used in our computation:
The ordered pair (1,3)
Because the graph shows a proportional relationship
Then the variables x and y changes by a constant factor
i.e.
Ordered pair = k(1,3)
Set k = 2 and 3
So, we have
Ordered pair = 2 * (1,3) and 3 * (1,3)
Evaluate
Ordered pair = (2,6) and (3,9)
Hence, the ordered pairs are (2,6) and (3,9)
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20. Graph the absolute value function f(x) = |x – 2| on the coordinate plane someone please answer showing work on how to do this problem
The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.
The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.
We have,
The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.
Geometrically,
It represents the distance of a point on the number line from point 2.
On the coordinate plane,
The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).
The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.
Thus,
The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.
The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.
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7
\(7 \sqrt{6 } - 4 \sqrt{6} = \)
\( - 0.7 \sqrt{7} + 2.3 \sqrt{7} = \)
\( \sqrt{45} + \sqrt{20} = \)
What are answers to these formulas
The answer to the formula are-
7√6 - 4√6 = 3√6-0.7√7 + 2.3√7 = 1.6√7√45 + √20 = 5√5How to add square roots?Square roots, like "regular" numbers, can be added together. However, you may not be able to reduce the addition to a single number.Because the radical in each term is the same, these are "like" terms.Part 1: 7√6 - 4√6
As both the digits have the same value √6. It means they can simply be added with sign to solve.
= 7√6 - 4√6
Take √6 common from both;
= √6(7 - 4)
= 3√6
Thus, the simplification of the expression is 3√6.
Part 2: -0.7√7 + 2.3√7
Here, also the common term is √7.
= √7( -0.7 + 2.3)
Simply add the number with sign.
= 1.6√7.
Thus, the simplification of the number is 1.6√7.
Part 3: √45 + √20
In thus, first write the number in its prime factors;
= √3×3×5 + √2×2×5
Take the root of 3 and 2 from the first and second digits of expression.
= 3√5 + 2√5
Now, both have the same term √5.
= √5(3 + 2)
Do the addition;
= 2√5
Thus, the simplification of given expression is 2√5.
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School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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Instructions: Drag and drop the correct definition to each term.
Step 1
The slope(m) is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.
From the question we will have;
\(\begin{gathered} slope=m=\frac{y_2-y_1}{x_2-x_1} \\ rise=y_2-y_1 \\ run=x_2-x_1 \end{gathered}\)\(y-intercept=b=(0,b)\)If u give me the right answer I’ll give brainlist
Answer:50%
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Aunt Leah is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Dover Bakery charges $1 for each cupcake, plus $54 for the large cake. Bella's Sweet Shoppe charges $25 for the large cake and $2 for each cupcake. If Aunt Leah orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include? What would the total cost be?
If Aunt Leah orders___cupcakes, it will cost $___at either shop.
If Aunt Leah buys 29 cupcakes, it will cost $29 at either shop.
Let's suppose that Aunt Leah is buying x cupcakes from the bakery. Then, her order will cost $x if she buys cupcakes only. If she buys both cupcakes and a cake from Dover bakery, then the cost will be $54 + $1x.
Similarly, if she buys both cupcakes and a cake from Bella's Sweet Shoppe, then the cost will be $25 + $2x.
The problem states that Aunt Leah will buy some cupcakes such that the total cost will be the same at either bakery. Then, we can set up the following equation:
$$54+x
=25+2x$$
$$x=29$$
Thus, if Aunt Leah buys 29 cupcakes, it will cost $29 at either shop.
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PLEASE ANSWER THE FOLLOWING QUESTION GIVEN THE CHOICES!!!
Answer: 3/52
Step-by-step explanation:
You want to pick a diamond jack, diamond queen or diamond king
There are only 3 of those so
P(DJ or DQ or DK) = 3/52 There are 3 of those out of 52 total
Suppose a normally distributed set of data with 2400 observations has a mean of 162 and a standard deviation of 11. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 195. Round your result to the nearest single observation. Hint: This problem is asking for how many observations, not the percent. Answer= Tip: Don't round any probabilities or percentages in your calculations. Keep all decimal places and round at the END of the problem. Suppose a normally distributed set of data with 4000 observations has a mean of 137 and a standard deviation of 19. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 118. Round your answer to the nearest whole value. Hint: This problem is asking for how many observations not the percent.
Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.
To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.
For the first scenario:
Mean (μ) = 162
Standard deviation (σ) = 11
Value to evaluate (x) = 195
We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.
Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.961 * 2400 = 2306.4
Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.
For the second scenario:
Mean (μ) = 137
Standard deviation (σ) = 19
Value to evaluate (x) = 118
We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.
Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.735 * 4000 = 2940
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3 and 5 least common multiples
Answer: 15
Step-by-step explanation: The LCM of 3 and 5 is 15. The number which is evenly divisible by the two given numbers is the LCM.
Answer: 15
Step-by-step explanation:
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, … The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, … The common multiples of 3 and 5 are: 15, 30, … The smallest of these is 15.
hope it helps :}
What additional information would be sufficient, along with the given, to conclude that lmno is a parallelogram? check all that apply. ml ∥ no ml ⊥ lo lo ≅ mn ml ≅ lo mn ⊥ no
The conditions ML ║ NO and LO ≅ MN are sufficient to show that the LMNO is a parallelogram.
What is a parallelogram?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal. And its diagonals are not equal but intersect at the mid-point.
The side ML is parallel to the NO that is given as
ML ║ NO
And the side LO is equal to the side MN
LO ≅ MN
These conditions are sufficient to show that the LMNO is a parallelogram.
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Answer:
ML ∥ NO, LO ≅ MN (1 and 3)
Step-by-step explanation:
edg
Ecological correlation is correlations based on rates or averages, often used in political science or sociology, that tend to over-state the strength of an association. True/False?
It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
what is correlation?Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.
The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
So, it is true.
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A store sells two different packages of glue sticks as described below Package A: 18 glue sticks Package B: 12 glue sticks Write an equation for package A and an equation for package B that represent the total number of glue sticks, g, in p packages. Mr. Davis buys 5 packages of the Package A glue sticks. Ms. Wilson buys 8 packages of the Package B glue sticks. Use your equations to find the difference in the total number of glue sticks that each person purchased.
Ms. Wilson purchased 6 more glue sticks than Mr. Davis.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
Let's define:
A = number of glue sticks in package A (18)
B = number of glue sticks in package B (12)
p = number of packages purchased
Then, the equations for the total number of glue sticks are:
Package A: g = 18p
Package B: g = 12p
Mr. Davis buys 5 packages of the Package A glue sticks, so he purchased:
g = 18 x 5 = 90 glue sticks
Ms. Wilson buys 8 packages of the Package B glue sticks, so she purchased:
g = 12 x 8 = 96 glue sticks
The difference in the total number of glue sticks that each person purchased is:
96 - 90 = 6 glue sticks.
Therefore, Ms. Wilson purchased 6 more glue sticks than Mr. Davis.
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help with this geometry question
Answer:
AAS
Step-by-step explanation:
♪\(*^▽^*)/\(*^▽^*)/
A pharmacist mixed 800 mg of a liquid drug (sg = 0.8) in enough liquid to prepare 2 liters of a final product. what is the ratio strength of the final product?
The ratio strength of the final product is 1:0.4.
What is ratio strength?One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.
Drug strength = 800mg
whole volume =2ltrs
The ratio of the solution in 1 ltr is = 400 mg
The ratio strength of the solutions is = 1:0.4
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a multiple choice test consists of 160 questions with possible answers of a, b, c, and d. estimate the probability that, with random guessing, the number of correct answers is between 45 and 50, inclusive. use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to four decimal places. provide your answer below:
The estimated probability is 0.0294
How likely is it to have between 45 and 50 correct answers on a multiple-choice test with 160 questions when guessing randomly?To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.
The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.
q is the probability of failure (1 - p), and nCk represents the number of combinations.
In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.
Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.
Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.
By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.
This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.
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In AGHI, the measure of ZI=90°, the measure of ZG=46°, and IG = 87 feet. Find the
length of GH to the nearest tenth of a foot.
Answer:
125.2
Step-by-step explanation:
PLEASE HELP ME I WILL MARK BRAINLYEST
Question 9:
Given the equations
\(5x+2y=6;\)
\(4x-8y=0\)
solving the system of the equations
\(\begin{bmatrix}5x+2y=6\\ 4x-8y=0\end{bmatrix}\)
\(\mathrm{Multiply\:}5x+2y=6\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=24\)
\(\mathrm{Multiply\:}4x-8y=0\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-40y=0\)
\(\begin{bmatrix}20x+8y=24\\ 20x-40y=0\end{bmatrix}\)
\(20x-40y=0\)
\(-\)
\(\underline{20x+8y=24}\)
\(-48y=-24\)
\(\begin{bmatrix}20x+8y=24\\ -48y=-24\end{bmatrix}\)
\(-48y=-24\)
\(\frac{-48y}{-48}=\frac{-24}{-48}\)
\(y=\frac{1}{2}\)
\(y = 0.5\) ( 0.5 is the result of rounding 0.5 to the nearest 0.01)
\(\mathrm{For\:}20x+8y=24\mathrm{\:plug\:in\:}y=\frac{1}{2}\)
\(20x+8\cdot \frac{1}{2}=24\)
\(20x+4=24\)
\(\frac{20x}{20}=\frac{20}{20}\)
\(x=1.00\) ( 1.00 is the result of rounding 1 to the nearest 0.01 )
So, the solution is:
(x, y) → (1.00, 0.5)
Question 10)
Similarly the question 10 can be solved.
Given the equations
\(5x+2y=9;\:4x-3y=44\)
solving
\(\begin{bmatrix}5x+2y=9\\ 4x-3y=44\end{bmatrix}\)
\(\mathrm{Multiply\:}5x+2y=9\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=36\)
\(\mathrm{Multiply\:}4x-3y=44\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-15y=220\)
\(\begin{bmatrix}20x+8y=36\\ 20x-15y=220\end{bmatrix}\)
\(20x-15y=220\)
\(-\)
\(\underline{20x+8y=36}\)
\(-23y=184\)
\(\begin{bmatrix}20x+8y=36\\ -23y=184\end{bmatrix}\)
\(-23y=184\)
\(y=-8.00\) ( -8.00 Rounded to the nearest 0.01 or the Hundredths Place )
\(\mathrm{For\:}20x+8y=36\mathrm{\:plug\:in\:}y=-8\)
\(20x+8\left(-8\right)=36\)
\(20x=100\)
\(x=5.00\) ( 5.00 Rounded to the nearest 0.01 or the Hundredths Place )
So, the solution is:
(x, y) → (5.00, -8.00)
determine whether the statement is true or false. there exists a function f such that f(x) < 0, f '(x) > 0, and f ''(x) < 0 for all x. true or false
The statement "there exists a function f such that f(x) < 0, f'(x) > 0, and f''(x) < 0 for all x" is True.
1. f(x) < 0: This means the function is always negative.
2. f'(x) > 0: This means the function is always increasing.
3. f''(x) < 0: This means the function is always concave down.
A function that satisfies all these conditions is f(x) = -e^x.
1. For all x, f(x) = -e^x is always negative because e^x is always positive and the negative sign in front makes it negative.
2. The first derivative of f(x) is f'(x) = -e^x, which is always positive because e^x is always positive and the negative sign cancels out.
3. The second derivative of f(x) is f''(x) = e^x, which is always negative because e^x is always positive.
Therefore, the statement is true.
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The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Thickness of the book is ~
\(20 \: mm = 2 \: cm = 0.02m\)Refer to the attachment for solution ~
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to 17 years, given the household’s annual income, x.
What is the approximate total cost of raising a child from birth to 17 years in a household with an annual income of 80,321
Answer:
he cost to raise a child from birth to 17 years in a household is $194119.
Step-by-step explanation:
Important information:
The equation y = 1.55x + 110,419
The annual incoem is $54,000
Calculation of the cost:
y = 1.55(54,000) + 110419
y = 83700 + 110419
y = $194119
15 blank CDs for $5; 45 blank CDs for $15
The cost of 45 blank CD's will be equal to $ 14.85.
It is given that 15 blank CD's costs $5.
We have to find out what will be the cost of 45 blank CD's.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Cost of 15 blank CD's = $5
So ;
The cost of 1 blank CD will be ;
= 5 ÷ 15
= $ 0.33
And
The cost of 45 blank CD's will be ;
= 45 × $0.33
= $ 14.85
Thus , the cost of 45 blank CD's will be equal to $ 14.85.
To learn more about unitary method click here ;
brainly.com/question/23580742
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