Rectangle of 15×23, partitioned into 10×13 and 8×7 dimensions of two rectangles as discuss below and show Jada's reasoning in figure.
Define the Jada's reasoning?"Jada's reasoning" refers to the thought process or decision-making process used by an individual named Jada. In the context of a specific problem or scenario, it would refer to the way that Jada approaches the problem or makes decisions related to the scenario.
To partition a 15 by 23 rectangle into two smaller rectangles,
1. We can draw a vertical line that divides the rectangle into two parts with widths of 10 and 13 (since 10 + 13 = 23).
2. Then draw a horizontal line that divides the rectangle into two parts with heights of 8 and 7 (since 8 + 7 = 15).
Once we have to partitioned the rectangle, we can label the two smaller rectangles according to Jada's reasoning. Jada might label one of the smaller rectangles as the "living room" and the other as the "dining room", or she might label one as the "bedroom" and the other as the "bathroom", depending on what she is using the rectangle to represent.
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Please help me respond this
Option 2 is correct that is 1.79
What is third quartile ?When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).
The quartiles formula is as follows:
Upper Quartile (Q3) = 3/4(N+1)
Lower Quartile (Q1) = (N+1) * 1/3
Middle Quartile (Q2) = (N+1) * 2/3
Interquartile Range = Q3 -Q1,
1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.
Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.
The data set has 8 values.
hence, n = 8; third quartile: 3/4 (n+1)th term
Q3 =3/4 of a term (9) term
Q3 =27/4 th term
Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)
equals 1.76
Thus Q3 is 1.76 that is option 2
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!pic attached!Earl and Ray run competing carpet-cleaning services. Earl charges $50 for a house call and $40 per carpet cleaned. Ray charges the
same amount per carpet cleaned, but his total cost is always $30 less than Earl's. Which equation expresses the total cost, t, for Ray to
clean as a function of carpets cleaned, c?
Answer:
t= 20+40c
Step-by-step explanation:
Given that Ray's total cost is always $30 less than Earl's and they charge the same amount per carpet cleaned, the difference is in the amount charged for a house call and to find that amount you have to subtract 30 from the amount Earl's charges:
50-30=20
This means that Ray charges $20 for a house call and $40 per carpet cleaned. According to this, the equation would indicate that the total cost for Ray is equal to the amount he charges for a house call plus the price per carpet cleaned for the number of carpets cleaned, which would be:
t= 20+40c, where:
t is the total cost
c is the number of carpets cleaned
How to enlarge by scale factor 1.5 or 2
Answer:
2) If the scale factor is 2, draw a line from the centre of enlargement, through each vertex, which is twice as long as the length you measured. If the scale factor is 3, draw lines which are three times as long. If the scale factor is 1/2, draw lines which are 1/2 as long, etc. The centre of enlargement is marked.
Step-by-step explanation:
Answer:
You multiply the dimensions given by the scale factor.
Step-by-step explanation:
ex: if the dimensions are all 5 then u would multiply these dimensions by each scale factor seperately like so, 1.5*5 and then 5*2
Hope this helps!!
What is 3log₂x-(log₂3-log₂ (x+4)) written as a single logarithm?
If the equation be 3log₂x-(log₂3-log₂ (x+4)) then we get\($\log _2\left(\frac{x^2(x+4)}{3}\right)\).
What is meant by logarithmic identities?An exponential function has an opposite called a logarithmic function. In both exponential and log functions, the basis is the same.
An exponent and a number (the base) are inputs into a logarithmic function, which yields a result (the logarithm). The base that must be raised in order to obtain a number is represented by the number's logarithm.
The features of exponential functions can be investigated and exponential equations can be solved using logarithms. In calculus, where they are used to determine the slope of specific functions and the region enclosed by specific curves, they also become incredibly useful.
Let the given equation be 3log₂x-(log₂3-log₂ (x+4))
\($$& \log _a(x)-\log _a(y)=\log _a\left(\frac{x}{y}\right) \\\)
\($$& {alog}(x)=\log \left(x^a\right)\)
3 log₂ x - (log₂3 - log₂ (x+4))
simplifying the above equation, we get
log₂(x²) - log₂(3/x+4)
\($& \left.\log _2 \left(\frac{\frac{x^2}{3}}{\frac{3}{x+4}}\right)=\log _2\left(\frac{x^2(x+4)}{3}\right)\)
Therefore, by simplifying the equation 3log₂x-(log₂3-log₂ (x+4)) we get\($\log _2\left(\frac{x^2(x+4)}{3}\right)\).
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consider a bertrand oligopoly consisting of four firms that produce an identical product at a marginal cost of $260. analysts estimate that the inverse market demand for this product is p = 500 −3q.
In a Bertrand oligopoly with four firms, each producing an identical product with a marginal cost of $260, the inverse market demand for the product is estimated to be p = 500 - 3q.
In this scenario, the market demand equation provides the relationship between the price (p) and the quantity demanded (q) of the product. The equation p = 500 - 3q implies that as the quantity demanded increases, the price decreases. This suggests an inverse relationship between price and quantity.
With four firms in the market, each producing the same product, they are in direct competition with each other. In a Bertrand oligopoly, firms set their prices strategically to maximize their profits. Since the product is identical, consumers will choose the firm offering the lowest price. As a result, the firms engage in price competition, aiming to undercut each other's prices to attract customers.
Given the marginal cost of $260, each firm will strive to set their price slightly above this cost to ensure a positive profit margin. However, due to the intense competition, prices will be driven down towards the marginal cost level. The equilibrium price and quantity will ultimately depend on the firms' pricing strategies and their ability to differentiate themselves in non-price aspects such as branding or product features.
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5x + 6 = 46. Is x = 8 a solution for this equation? Justify your answer by
showing your step with explanation.
Answer:
x = 8Step-by-step explanation:
5x + 6 = 46. Is x = 8
5x + 6 = 46
subtract 6 to each side
5x + 6 - 6 = 46 - 6
simplify:
5x = 46 - 6
divide 5 both sides
x = 40 / 5
simplify:
x = 8
Answer:
Yes.
Step-by-step explanation:
\(5x+6=46\)
To check to see if x = 8 is a solution, replace 'x' with 8 and evaluate.
\(5(8)+6=46\\\\40+6=46\\\\\boxed{46=46}\)
We get a true statement. This means that x = 8 is a solution to the equation.
Hope this helps.
Evaluate the expression when c = 7 and y = -7
The given expression is equivalent to 28.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
c - 3y
We have the given expression as -
c - 3y
For c = 7 and y = - 7, we can write -
7 - 3(- 7)
7 + 21
28
Therefore, the given expression is equivalent to 28.
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Carlos mixes 4 cups of blue paint with 3 cups of red paint. Complete the table of equivalent ratios.
The ratio of blue paint to red paint is always 4:3, but the quantities can be scaled up or down in equivalent ratios.
To complete the table of equivalent ratios, we need to find the equivalent ratios of blue paint to red paint
we simply multiply both the numerator and denominator of the first ratio by the same number.
For example, to find the second ratio of 8 cups blue paint to 6 cups red paint, we multiply 4 and 3 (the numerator and denominator of the first ratio) by 2.
This gives us 8 cups of blue paint and 6 cups of red paint, which simplifies to a ratio of 4:3 (which is the same as the first ratio). We can repeat this process to find the remaining ratios in the table.
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What is the slope of the line 4x - 2y = 5?
Answer:m=4/2
Step-by-step explanation:
u subtract 4 to get y alone
then u dived by a -2y to get y alone
then u u get y=-4/2x-5
Helppp please omggggg
The volume of the composite solid is 4095 cubic yd.
What is trapezoid prism?A trapezoidal prism is a three-dimensional object that contains rectangular cross-sections in one direction and trapezium cross-sections in the other. This implies that the prism has two congruent trapezoids that are joined to one another by four rectangles. On the top and bottom of the prism, or bases, are these congruent trapezoids. The trapezium prism's lateral sides are the four rectangles. There are six faces, eight vertices, and 12 edges on a trapezoidal prism.
The volume of the composite solid is the addition of all the solids in the figure.
The volume of the trapezoid prism is:
V1 = (a+b)h(l) / 2
Substituting the values we have:
V1 = (19 + 30)(10)(9) / 2
V1 = 2205 cubic yd.
The volume of the rectangular prism is given as:
V2 = lwh
V2 = 7(30)(9)
V2 = 1890 cubic yd.
The total volume of the composite solid is:
V = V1 + V2
V = 2205 + 1890
V = 4095cubic yd.
Hence, the volume of the composite solid is 4095 cubic yd.
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Explain! Prize! Thank you!!!!
Answer:
b
Step-by-step explanation:
PLZ HELP ME!!!!!
when you reverse the inequality sign when you __________ or __________ both sides of an inequality by a negitive number.
Answer:
divide or multiply............
If 3 pounds of apples costs $7.50, what is the unit rate for cost per pound? What will 9 pounds cost?
Answer:per pound would cost 2.50 and for nine pounds it would cost 22 dollars and 50 cent
Step-by-step explanation:
750 divided by 3=250 just add your point were before five and 7.50 plus 7.50 equals 15 plus 7.50 equals 22.50
a measurable part of a line that consists of two points, called endpoints, and all of the points between them are
A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.
Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.
\( \bar{AB}\)
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James spent $98 at the mall. He purchased a pair of shoes for $55 and 2 t-shirts. Write an equation to show how much each t-shirt cost.
Type an equation that matches the situation. Use x for the variable.
Rewrite in simplest terms: -2(k+1)-6k
Answer:
-8k -2
Step-by-step explanation:
You want the simplified form of -2(k+1)-6k.
SimplificationThe process of simplifying an algebraic expression includes ...
removing parenthesescombining like termsParentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.
-2(k +1) -6k
= (-2)(k) +(-2)(1) -6k = -2k -2 -6k
Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)
= (-2 -6)k -2 = -8k -2
The simplified expression is -8k -2.
A grid shows the positions of a subway stop and your house. The subway stop is located at (-7, -1), and your house is located at (-3, 4). What is the distance, to the nearest unit, between your
house and the subway stop?
5
6
10
11
The distance between your house and the subway stop is 6
What is distance?
Distance is a numerical measurement of the amount of space between two points or objects. It is typically measured in units such as meters, kilometers, miles, or feet, and it can be calculated using various mathematical formulas depending on the context.
How to find nearest distance between two points?
To find the nearest distance between two points, you can use the distance formula, which involves finding the square root of the sum of the squared differences between the corresponding coordinates of the points.
According to the above information
d = sqrt((x2 - x1)² + (y2 - y1)²)
where (x1, y1) are the coordinates of the subway stop and (x2, y2) are the coordinates of your house.
Plugging in the values, we get:
d = sqrt((-3 - (-7))² + (4 - (-1))²)
d = sqrt(4² + 5²)
d = sqrt(16 + 25)
d = sqrt(41)
d ≈ 6.4
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A 1-pound box of candy cost $4.00. What was the cost
per ounce (1 pound 16 ounces)?
Answer:
I think its $1 every 4 oz
Step-by-step explanation:
Basing this off that 4 * 4 is 16
1. A chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch. Alonzo wants to make 3 12 batches. a. How many chocolate chips will he need?
Given:
1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.
Alonzo wants to make 3 12 batches.
Lets's find the number of chocolate chips he will need.
Number of batches he wants to make is = 3 x 12 = 36 batches
SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:
\(undefined\)Please help fast! 25 points and brainliest!! Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Answer:
fx/gx=10
Step-by-step explanation:
fx= (36x5)-(44x4)-(28x3)
fx=80
gx= 4x2
gx=8
To work out fx/gx:
fx/gx=80/8
fx/gx=10
Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.
Answer:
\(12\) cm
Step-by-step explanation:
If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!
Evangeline is making snack bags for her class. If she can fill 5/8 of her snack bags with 1 2/3 cups of pretzels, how many cups of pretzels are needed to fill all of the snack bags? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
Answer:
2 2/3
Step-by-step explanation:
For each of her snack bag, she can fill it with a 1/3 cup of pretzels
1/3 x 8 = 2 2/3 cups
Answer:
Step-by-step explanation:
÷Consider the values for variables m and f-solve Σm²f m| 2 3 4 5 6 7 8 f | 82 278 432 16 6 3 1
________
We are able to deduce from the information that has been supplied that the total number of squared products that the variables m and f contribute to add up to 3,892 in total.
To determine the value of m2f, first each value of m is multiplied by the value of "f" that corresponds to it, then the result is squared, and finally all of the squared products are put together. This process is repeated until the desired value is determined. Let's analyse the calculation by breaking it down into the following components:
For m = 2, f = 82: (2 * 82)² = 27,664.
For m = 3, f = 278: (3 * 278)² = 231,288.
For m = 4, f = 432: (4 * 432)² = 373,248.
For m = 5, f = 16: (5 * 16)² = 2,560.
For m = 6, f = 6: (6 * 6)² equals 216.
For m = 7, f = 3: (7 * 3)² = 441.
For m = 8, f = 1: (8 * 1)² equals 64.
After tallying up all of the squared products, we have come to the conclusion that the total number we have is 635,481: 27,664 + 231,288 plus 373,248 plus 2,560 plus 216 plus 441 plus 64.
The total number of squared products that contain both m and f comes to 635,481 as a direct result of this.
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A univerity tate that mean ECLSE core of their graduate i 1200. You do a tudy for your univerity and take a random ample of 100 tudent elected and if the ample mean i 1180. Aume that the ample tandard deviation i 100 and are approximately normally ditributed. Tet the theory that the mean ECLSE tet core i equal to 1200 at 95% ignificance level
The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.
To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:
t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))
In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:
t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2
Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.
To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.
If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.
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PLEASE HELPP!!!
Find C to two decimal places and find the measure of angle B.
Answer:
<B = 32°
c = 9.43
Step-by-step explanation:
To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.
58° + 90° = 148°
180° - 148° = 32°
The measure of <B is 32°.
To find the length of side c, use the Pythagorean Theorem.
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
c = √89
c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)
The length of side c = 9.43.
Hope that helps.
7. Amauri went to the winter festival. It cost her
$3 to get into the festival plus an additional
$1.25 for each booth she visited. If she spent a
total of $11.75, how many booths did she visit?
Answer:
she visited 7 booths
Step-by-step explanation:
the total was 11.75 and entry fee was 3 dollars so that leaves $8.75 to spend on booths, and since it's $1.25 per booth all you need to do is divide $8.75 by $1.25 which give you 7
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
Which answer choice correctly solves for x and y?
Answer:
\(x = 10\\y = 5\)
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is to use the side ratios in a special right triangle. One should start by proving that the triangle is a (30 - 60 - 90) triangle. Since the problem gives on the information that one of the sides has a measure of (\(5\sqrt{3}\)), one can use this combination with the ratio of the sides in a special right triangle, to find the unknown side lengths.
2. Prove this triangle is a (30 - 60 - 90) triangle
One is given a right triangle. This means the triangle has a (90) degree or right angle in it. This is indicated by a box around one of the angles. One is given that the other angle in this triangle has an angle measure of (30) degrees. The problem asks for one to find the third angle measure. A property of any triangle is that the sum of angle measures in the triangle is (180) degrees. One can use this to their advantage by stating the following:
\((90) + (30) + (unknown) = 180\\\)
Simplify,
\((90) + (30) + (unknown) = 180\)
\(120 + unknown = 180\\\)
Inverse operations,
\(120 + unknown = 180\\\)
\(unknown = 60\)
Thus, this triangle is a (30 - 60 - 90) triangle, as its angles have the measures of (30 - 60 - 90).
3. Solve for (y)
The sides ratio in a (30 - 60 - 90) triangle is the following:
\(n - n\sqrt{3} - 2n\)
Where (n) is the side opposite the (30) degree angle, (\(n\sqrt{3}\)) is the side opposite the (60) degree angle and finally (2n) is the side opposite the (90) degree angle. The side (y) is opposite the (30) degree angle. This means that it is equal to the side opposite the (60) degree angle divided by (\(\sqrt{3}\)). Therefore, one can state the following:
\(\frac{5\sqrt{3}}{\sqrt{3}}=y\\5=y\)
4. Solve for (x)
Using the same thought process one used to solve for side (y), one can solve for side (x). The side (x) is opposite the (90) degree angle, hence, one can conclude that it is twice the length of the side with the length of (y). Therefore, one can state the following:
\(x = 2y\\x = 2(5)\\x = 10\)
ANSWER SOON PLASE!! need to pass class. The equation of a parabola is 1/16(y+3)^2=x+4. What are the coordinates of the focus?
Answer:
(0,-3)
Step-by-step explanation:
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation: