Express the product of (x + 3)
and
(3+5) as a trinomial in simplest form.
Answer:
The answer would be 8x + 24. And it's not a trinomial form. Why? Maybe the given is not just (3+5), it's (3x+5). So that we can get trinomial product.
Sol.
(x + 3) (3x + 5)
Each parenthesis has a binomial (two numbers)
A. Note that whenever you have two parenthesis next to each other like this, it implies factoring. So let's factor.
3x^2 + 5x + 9x + 15
We get a quartnomial (containing 4 numbers), but we're looking for a trinomial. Can we reduce this?
B. Yeah, so we reduce
3x^2 + 14x + 15
There you go, this is a trinomial.
Calculate the volume of the triangular prism shown below. Give your answer in cm³. 5 cm 7 cm 9 cm 4 cm
The volume of the given triangular prism is 315 cm³.
The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.
The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.
Calculate the area of the triangular base.
The area of a triangle can be calculated using the formula:
Area = (base length × height) / 2
Plugging in the values, we have:
Area = (5 cm × 7 cm) / 2
Area = 35 cm²
Calculate the volume of the prism.
The volume of a prism can be calculated by multiplying the base area by the height of the prism.
Volume = Base area × Height
Volume = 35 cm² × 9 cm
Volume = 315 cm³
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Which angle has sides DB and DC? Select all that apply.
No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.
What is dilation?Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.
Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.
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Halp.
What is the ratio of the sides from the big to the small rectangle?
Answer:
2:1
Step-by-step explanation:
We know
To get from F to G, we have to go from -2 to 2, for which the length is 4.
To get from F' to G', we have to go from -2 to 0, for which the length is 2.
What is the ratio of the sides from the big to the small rectangle?
The ratio is 4:2 = 2:1
which expression is the expanded form of log6(4(2 9x))? select the correct answer below: log6(8) log6(9x)
The correct expression in the expanded form of \(log6(4(2^9^x))\) is log6(9x).
What is the expanded form expression of \(log6(4(2^9^x))\)?The given expression log6(4(\(2^9^x\))) represents the logarithm of the product of 4 and 2 raised to the power of 9x, all with base 6. To simplify this expression, we can apply the property of logarithms that states log(ab) = log(a) + log(b).
By using this property, we can separate the expression into two logarithms: log6(4) + log6(\(2^9^x\)). The first term, log6(4), remains unchanged.
However, the second term, log6(\(2^9^x\)), simplifies to 9x * log6(2) since the logarithm of an exponential expression with the same base results in the exponent multiplied by the logarithm of the base. Combining these terms, we obtain the expanded form expression of log6(4(\(2^9^x\))) as log6(4) + 9x * log6(2).
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Random sampling complicates the analysis of cross-sectional data.
a. True
b. False
Random sampling do not complicates the analysis of cross-sectional data
Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.
There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.
A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.
Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.
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75.3325 round to the tenth
For each of the following, carry out the mathematical operation and report answers in scientific notation. (a) (3.1×10
5
)×(2.0×10
−2
) (b) (7.0×10
9
)÷(2.0×10
2
) (c) (2.8×10
−4
)÷(9.6×10
−2
) (d) (5.0×10
−4
)
2
(e) (8.50×10
5
)−(3.0×10
4
) (f) (6.4×10
−3
)÷
(3.1×10^5) × (2.0×10^-2) = 6.2×10^3
When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.
In this case, (3.1×10^5) × (2.0×10^-2) equals 6.2×10^3. The coefficient 3.1 multiplied by 2.0 gives 6.2, and the exponents 5 and -2 are added to give 3.
When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents. So, (7.0×10^9) ÷ (2.0×10^2) equals 3.5×10^7. The coefficient 7.0 divided by 2.0 gives 3.5, and the exponents 9 and 2 are subtracted to give 7.
To divide two numbers in scientific notation, divide the coefficients and subtract the exponent of the divisor from the exponent of the dividend. Hence, (2.8×10^-4) ÷ (9.6×10^-2) is equal to 2.9×10^-3. Dividing 2.8 by 9.6 gives 0.29, and subtracting the exponent -2 from -4 gives -3.
When squaring a number in scientific notation, square the coefficient and double the exponent. Therefore, (5.0×10^-4)^2 equals 2.5×10^-7. Squaring 5.0 gives 25.0, and doubling the exponent -4 gives -8.
Subtracting two numbers in scientific notation requires aligning the exponents and then subtracting the coefficients. (8.50×10^5) − (3.0×10^4) equals 8.20×10^5. The coefficient 8.50 minus 3.0 gives 5.50, and the exponent 5 remains the same.
Dividing a number in scientific notation by a regular number involves dividing the coefficient and keeping the exponent the same. Thus, (6.4×10^-3) ÷ 2 is equal to 3.2×10^-5. Dividing 6.4 by 2 gives 3.2, and the exponent -3 remains unchanged.
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Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?
1.90%
350%
7.14%
23.81%
Answer:
23.81%
Step-by-step explanation:
The total number of ways to select 5 out of 10 will be;
10 C 5 = 252
The number of ways of selecting 2 boys out of 6 will be
6 C 2 = 15 ways
The number of ways of selecting 3 girls out of 4 will be
4 C 3 = 4 ways
The probability of both will be;
(4 * 15)/252 = 60/252 = 0.238095238095
To the nearest percentage, that will be 23.81%
–2.5x – 7.5 = x + 6.5
Answer:
Step-by-step explanation:
x=-4 that should be the answer i don't really know how too explain but i did this 2 years ago
Answer:
Step-by-step explanation:
!PLEASE HELPP ME!!
What decimal number is represented by the shaded portion of the model?
Answer: this is
1 3/10= 1.3
8.
One pound is about 3,500 calories. In order to lose 6 pounds in 5 weeks, the number of calories
consumed daily must be decreased by
a. 30
b. 60
C. 17,000
d. 21,000
Answer:
600
Step-by-step explanation:
We have to find the number of calories that 6 pounds is.
1 pound = 3500 calories
6 pounds = 6 * 3500 = 21000 calories
In 5 weeks we have 35 days. Let us divide 21000 by 35 to find how many calories that is per day:
21000 / 35 = 600
The number of calories must therefore be decreased by 600 every day.
its iready help pls im give brainiest
Answer:
The answer is 0. those types of lines NEVER touch
WILL GIVE BRAINLIEST
PLEASE HELP FAST!!
Angelica uses the points (4,3) to represent the location of her house and use the point (10,8) to represent the location of a gas station. This unit on the graph represents 1 mi. Use Pythagorean theorem to determine how far the gas station is from Angelica’s house show your work.
Answer:
Angelica’s house is 7.81 miles from the gas station
Step-by-step explanation:
By pythogorean theorem, AG² = AP² + GP²
A (4,3), G(10,8), P(10,3)
Since AP lies along the x axis, the distance is calculated using the x coordinates of A and P
AP = 10 - 4 = 6
GP lies along the y axis, so the distance is calculated using the y coordinates of G and P
GP = 8 - 3 = 5
AG² = 6² + 5²
= 36 + 25
AG² = 61
AG = √61
AG = 7.81
One customer is chosen at random for a prize giveaway. What is the probability that the customer is at least 20 but no older than 50
lines of symmetry? i cant picture this well.
Answer:its all of them
Step-by-step explanation:i know
Answer:
a
Step-by-step explanation:
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78
Answer:
$31.88
Step-by-step explanation:
Given
Consumer charges = 2530.16cents
Consumer charges in dollars = $25.3016
Interest rate per day = 0.042%
Interest gotten per day = 0.042×25.3016
Interest per day = $1.06266
Interest in 30 days = ,30×1.06266
Interest in 30 days = $31.88
Answer:
c pls mark barliest
Step-by-step explanation:
In residual analysis, there is generally not a problem if the residuals are arranged in a linear or curvilinear pattern.
True
False
False. Residual analysis is an important step in the evaluation of a statistical model. It involves examining the residuals, which are the differences between the observed values and the predicted values of the response variable, to assess the adequacy of the model.
A residual plot is a graphical display of the residuals against the predicted values, and can be used to identify patterns or trends in the data that may suggest that the model is not capturing all the relevant factors that contribute to the outcome being modeled.
In general, a linear or curvilinear pattern in the residual plot indicates that there is still some systematic variation in the data that has not been accounted for by the model. This suggests that the model may not be adequately capturing all the relevant variations in the data, and that additional variables or predictors may need to be included in the model to improve its performance.
On the other hand, a random scatter of residuals around zero indicates that the model captures all the relevant variations in the data, and thus the model can be considered adequate. In this case, no further modifications to the model may be necessary.
Therefore, it is important to carefully examine residual plots when evaluating a statistical model. Any patterns or trends in the residuals should be investigated further, and appropriate steps taken to address any issues that are identified. By doing so, we can ensure that our models are accurate and reliable, and that they provide useful insights into the phenomena being studied.
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If ten people access the same AP, communication to the wired world will be limited to the equivalent of approximately 1 Mbps per user. Select True or False?
False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.
The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.
The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.
Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.
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select the appropriate reagents for the transformation at −78 °c.
For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.
What reagents are suitable for -78 °C transformations?At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.
Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.
The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.
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On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inventory during the sale. If the store had 288 pairs after the donation and the sale, how many pairs of shoes did they have at the start? how many shoes did they have at the start?
Answer:
850.
Step-by-step explanation:
Let the number at the start be x shoes. Then:
x - 50 - 0.64(x - 50) = 288
x - 0.64x - 50 + 32 = 288
0.36x = 288 + 50 - 32
0.36x = 306
x = 306/0.36 = 850.
Answer:
850 is the answer to the question
Use the Maclaurin series for e'to prove that: [e*] = et. dx
The integral ∫[e^x] dx can be proven to be equal to e^x using the Maclaurin series expansion of e^x.
The Maclaurin series expansion of e^x is given by:
e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...
Integrating both sides of the equation with respect to x, we have:
∫[e^x] dx = ∫(1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...) dx
Using the properties of integration, we can integrate each term of the series individually:
∫[e^x] dx = ∫1 dx + ∫x dx + ∫(x^2)/2! dx + ∫(x^3)/3! dx + ∫(x^4)/4! dx + ...
Evaluating the integrals, we get:
∫[e^x] dx = x + (x^2)/2 + (x^3)/(3*2!) + (x^4)/(4*3*2!) + (x^5)/(5*4*3*2!) + ...
Simplifying the expression, we obtain:
∫[e^x] dx = x + (x^2)/2 + (x^3)/3! + (x^4)/4! + (x^5)/5! + ...
Comparing this result with the Maclaurin series expansion of e^x, we can see that they are identical.
Therefore, we can conclude that ∫[e^x] dx = e^x.
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Use synthetic division to divide the polynomials.
(2y^3 + 6y² + 7y - 6) / (y + 1)
Answer:
Step-by-step explanation:
-1_| 2 6 7 -6
-2 -4 -3
2 4 3 -9
2y^2 + 4y + 3 - 9/(y + 1)
Quinn's dance teacher wants her to do 30 minutes of stretching each day. A. What percentage of this goal is 24 minutes of stretching? Answer: 24 minutes is % of 30 minutes B. What percentage of this goal is 42 minutes of stretching? Answer: 42 minutes is % of 30 minutes
Answer:
A- 24=80% of 30 mins
B-42=140% of 30 mins
Step-by-step explanation:
10% of 30 is 3 so 3x8=24
42/30=1.4 or 140
What is S9 of the geometric sequence? Round to the nearest whole number.
16, 56, 196, 686,...
A) 1,765,464
B) 180,158
C) 360,300
D) 504,414
Answer:
D) 504,414
Step-by-step explanation:
Hope it helps!
A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
\(6s^{2} = 6*7^{2} = 294 cm^{2}\)
\(s^{3} = 7^{3} = 343 cm^{3}\)
Find the odd number less than 100, that is divisible by 7, and when divided by 10 has a remainder of 3.
Answer:
63
Step-by-step explanation:
Multiples of 7 that are less than 100:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
If when a number is divided by 10 it has a remainder of 3, look for the mulitple of 7 with "3" as its units. Therefore, the number is 63.
Use synthetic division to find the result when x³ + 7x² - 12x + 14 is divided by a 1. If there is a remainder, express the result in the form q(x) + b(x)*
Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.
To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:
1 | 1 7 -12 14
We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.
1 | 1 7 -12 14
1 8 -4 10
The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.
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Kree works for a constant hourly wage of w dollars. Which choice shows the correct relationship between e, Kree's total earnings in a week, and h, the number of hours he worked during the week?
Help Pleaseeee........
Answer:
5/90
Step-by-step explanation:
5/90 is the answer