Answer:
9÷5=9/5
Step-by-step explanation:
Factorize completely
80p2 - 180r2
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
a rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a wire fence. using 100 meters of fencing, what is the largest rectangular region that can be enclosed? give both the dimensions and the area.
Dimensions of the rectangular plot are 25' × 50'.
The area of a rectangular plot is 1250m.
What is the dimension of the rectangle?
Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.
Here, we have
100 meters fencing
We have to find the dimensions and area of the rectangular plot.
so, 2x + y = 100
y = 100 - 2x
A = xy
A = x (100 - 2x)
A = 100x - 2x²
We differentiate w.r.t x, and we get
A' = 100 - 4x
We put, A'= 0
100 - 4x = 0
x = 25
y = 50
A = xy
A = 25 × 50
A = 1250m
Hence, the dimension of the rectangular plot is 25' × 50'.
The area of a rectangular plot is 1250m.
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i don't know what it means
Answer:
C. 20
8 cycles for 1 inch, times 2 is 16, + 4 is 20
Please help!!
What is the measure of angels DEF and angles DEG?
V + Iwh
I = 32, w = 14, and h = 7
V = ___
Options:
A: 53
B: 3,136
C: 448
Please show your work
Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136. Here is the solution in HTML format:
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136.
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2.) Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?
Answer:
I think it would be 2 miles
Step-by-step explanation:
This is because 1/4 of an hour is 15 minutes
so in 15 minutes he swims half a mile
4 x 15 = 60 minutes
so 4 x 1/2 = 2miles
PLS HELP ME I WILL GOVE YOU BRAINLIEST!
Answer:
15.7 ft
Step-by-step explanation:
You need to find the circumference.
C= 2πr
r= 2.5
C= 2π2.5
C= 15.7 ft
Evaluate. x =2 and y=-1
(3x)² (y) I need help pleaseeee
Answer:
- 36
Step-by-step explanation:
(3x)² (y) ← substitute x = 2, y = - 1 into the expression
= (3(2))² (- 1)
= (6)² × - 1
= 36 × - 1
= - 36
we run an experiment randomly allocating mentoring: use the regression output to report the effect of the mentoring program.
The effect of the mentoring program based on the regression output, you would need to look at the coefficient of the variable representing the mentoring program in the regression equation.
1. Identify the variable representing the mentoring program in the regression output. It could be labeled as "Mentoring" or something similar.
2. Look at the coefficient of the mentoring program variable. This coefficient represents the estimated effect of the mentoring program on the outcome variable.
3. Interpret the coefficient. If the coefficient is positive, it suggests that the mentoring program has a positive effect on the outcome variable. If the coefficient is negative, it suggests a negative effect. The magnitude of the coefficient indicates the strength of the effect.
4. Include any statistical measures of significance, such as p-values or confidence intervals, if available. These measures indicate the level of confidence in the estimated effect. A lower p-value or a narrower confidence interval indicates a higher level of significance.
In your report, you can say something like, "Based on the regression analysis, the mentoring program had a [positive/negative] effect on the outcome variable. The estimated effect was [coefficient value]. This effect was found to be [statistically significant/insignificant] with a p-value of [p-value] (or a [confidence level] confidence interval of [lower limit - upper limit])."
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Which function describes this graph?
f( x)=x+2
f( x)=4x+2
f( x)= x+2
Answer:
f(x) = 1/4x +2
Step-by-step explanation:
The y-intercept formula is y = mx + b. b is the y-intercept. The line crosses the y-axis at 2, so the y-intercept is 2. m is the slope and it is rise/run (rise over run). It rises (from the y-axis) once and runs 4 times. Therefore, the slope is 1/4. The equation is f(x) = 1/4x +2.
Solve for n
n/5 +0.6=2
Answer:
n = 7
Step-by-step explanation:
Here is how you solve the equation...
n/5 + 0.6 = 2
n/5 = 2 - 0.6
n/5 = 1.4
n = (1.4) * (5)
n = 7
Answer:
7
Step-by-step explanation:
the dice faces are as follows: blue: 2,3,3,3,6,6 green: 0,1,1,4,4,4 the two dice are rolled and the sum of the results is calculated. what is the probability of the sum equaling 5?
Step-by-step explanation:
There are 36 possible rolls
NONE will result in a '5' total
0/36
there is nothing on the blue die that added to from the green die = 5
Help me with this :))))))
Answer:
CE = 21.2
Step-by-step explanation:
CE = CD + DE = 14 + 7.2 = 21.2
IJ=
Measure of IJ
Help me thanks
Answer: 11
Step-by-step explanation:
By the secant-secant theorem,
\(5(5+7)=(JK)(15)\\\\60=(JK)(15)\\\\JK=4\\\\\implies IJ=15-4=11\)
kenny owned so many beseball cards that he sold 82 of them.after selling the cards, he still had 159 lefft.write and solve an equation to find the number of beseball cards b kenny had originally
By applying the simple concept of algebra, the equation showing the number of Kenny's baseball cards (b) is b = 82 + 159. So it can be concluded that the number of Kenny's baseball cards is 241 cards.
The use of algebra in everyday life.
Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve math problems. In everyday life, algebra is often used, starting from simple mathematical operations, to financial planning, calculating time/mileage, and so on.
In the above questions, we can take some notes as follows:
Baseball cards sold (x) = 82 cards.
Remaining baseball cards (y) = 159 cards.
The number of baseball cards owned by Kenny (b):
b = x + y
= 159 + 82
= 241 cards
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A newborn baby weighs 3.136 times 10 superscript 3 units. which unit of measure was used? grams ounces pounds tons
Answer:
its A
Step-by-step explanation:
have you smiled today? its very important:)
Answer:
A
Step-by-step explanation:
2. how many license plates can by made using either three uppercase english letters followed by three digits or four uppercase english letters followed by two digits?
There would be 63,273,600 and 43,524,000 license plates, if repetition is allowed, and not, respectively that can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits.
Based on the given information, a license plate may either be:
1. three uppercase English letters followed by three digits
26 ways to fill in the first, second, and third letter and
10 ways to fill in the first, second, and third digit
2. four uppercase English letters followed by two digits
26 ways to fill in the first, second, third, and fourth letter and
10 ways to fill in the first and second digit
Thus, by Fundamental Principle of Counting, there are 63,273,600 possible license plates, if repetition is allowed, and 43,524,000 possible license plates, if repetition is not allowed.
(with repetition)
1. 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000
2. 26 x 26 x 26 x 26 x 10 x 10 = 45,697,600
17,576,000 + 45,697,600 = 63,273,600
(without repetition)
1. 26 x 25 x 24 x 10 x 9 x 8 = 11,232,000
2. 26 x 25 x 24 x 23 x 10 x 9 = 32,292,000
11,232,000 + 32,292,000 = 43,524,000
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Which operation means "split evenly"?
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
Answer:
division
Step-by-step explanation:
when you divide you split into even groups
What’s the total difference between 4 5/6 and 9 1/6 on a number line using shorter jumps to the nearest integers.
The total difference between 4 5/6 and 9 1/6 on a number line using shorter jumps to the nearest integers is 4 1/3.
To find the difference between 4 5/6 and 9 1/6 on a number line using shorter jumps to the nearest integers, we can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
4 5/6 = (6 x 4 + 5) / 6 = 29/6
9 1/6 = (6 x 9 + 1) / 6 = 55/6
Step 2: Find the distance between the two fractions on the number line by taking the absolute value of their difference.
|29/6 - 55/6| = |-26/6| = 26/6
Step 3: Simplify the fraction and convert it back to a mixed number, if necessary.
26/6 can be simplified to 13/3, which is an improper fraction.
To convert 13/3 back to a mixed number, we divide the numerator (13) by the denominator (3) and write the remainder as a fraction:
13 ÷ 3 = 4 with a remainder of 1
So, 13/3 = 4 1/3
Therefore, on a number line with shorter jumps to the nearest integers, the total distance between 4 5/6 and 9 1/6 is 4 1/3.
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Please help! (look at the image below!!)
The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.
What is ordering of numbersThe ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.
12⅝ = 101/8 = 12.645
12.62 = 12.62
√146 = 12.0830
12.39 = 12.39
12¾ = 51/4 = 12.75
Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.
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The circumference of a circular field is 163.28 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.
Answer:
r = 26
Step-by-step explanation:
C = 2 π r
163.28 = 2 (3.14) (r)
163.28 / 2 / 3.14
26 = r
Answer:
26 yards
Step-by-step explanation:
2πr=163.28
2×3.14×r=163.28
r=163.28÷6.28=26 yards
How much the statistic varies from one sample to another is known as the ____ _____ of a statistic.
How much a statistic varies from one sample to another is known as the sampling variability of a statistic.
Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.
The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.
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Michael’s favorite cereal is Cinnamon Toast Crunch. His mom buys him a big box for a special treat, and he wants to figure out exactly how much cereal is in the box. The box has a volume of 384 cubic inches. The height is 12 inches and the length is 8 inches. What is the width?
Answer:
he made a good choice, the width is: 4 inches
Step-by-step explanation:
12 x 8 x _4_ = 384
can you help please??
Step-by-step explanation:
this relation is not a function cuz each x pair (domian) has only one image in y pair (codomain) so we will have all the ×-axis pairs meeting with y-axis in only one point as they have one image as this is the rule of having a function so what in front of us the positive part of x-axis has two images in y-axis
u can knew it by another way draw a vertical line and if it meets in two point or more than one then the relation is not a function s o if we draw a vertical line in the right part of the graph it will meats in two points then not a function
the domain is all the pairs of this relation taken in x-axis which are [0,infinity[ and range is the y-axis images if the fomain in x-axis which are ]-infinity, infinity[
a classroom of children has 11 boys and 18 girls in which five students are chosen to do presentations. what is the probability that at least four boys are chosen?
The total Number of ways to select five students out of 11 boys and 18 girls will be=104642
We have, total number of boys = 11, while the total number of girls = 18
Let us assume that,
X = total number of boys chosen
As it is given,
P(X>=4)=1
-P(X<=3)
Where, P(at most 3 boys are chosen) needs to be found out
As we know,
Here, the total number of ways to get at most 3 boys= Number of ways to get three boys and two girls + number of ways to get one boy and four girls + Number of ways to get two boys and three girls + Number of ways to get zero boys and five girls
Making the combination as per above arrangements:
We will get it as:
=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5
As we know,
The formula of combination is:
\($${ }_n C_r=\frac{n !}{r !(n-r) !}$$\)
\(${ }_n C_r=$\) number of combinations
n= total number of objects in the set
r= number of choosing objects from the set
So, applying the concept of combination in the above,
=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5
\(= \frac{11!}{8! \times 3!} \times \frac{18!}{16! \times 2!}+\frac{11!}{9! \times 2!} \times \frac{18!}{15! \times 3!}+\frac{11!}{10! \times 1!} \times \frac{18!}{14! \times 4!}+\frac{11!}{11! \times 0!} \times \frac{18!}{13! \times 5!}\)
\([\frac{11 \times 10\times9\times8! }{8!\times 6} \times \frac{18\times17\times16!}{16!\times2}]+[\frac{11\times10\times9!}{9!\times2} \times \frac{18\times17\times16\times15!}{15!\times6}]+[\frac{11\times10!}{10!} \times \frac{18\times17\times16\times15\times14!}{14!\times24}]+[\frac{1}{1} \times \frac{18\times17\times16\times15\times14\times13!}{13!\times120}]\)
\(=(165 \times153)+(55\times816)+(11\times3060)+(1\times856.8)\)
=25245+44880+33660+856.8
=104641.8 = 104642 (approx)
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if the probability of a super event increases, does the unique event risk increase or decrease in importance. why
The relative importance of unique events may decrease as the probability of a super event increases, it is important to consider all potential risks and their unique characteristics in a comprehensive approach to risk management.
The relationship between the probability of a super event and the importance of a unique event is complex and depends on several factors. Generally speaking, as the probability of a super event increases, the importance of a unique event may decrease in relative importance.
This is because the focus shifts from rare events to more probable ones. As the probability of a super event increases, there may be a greater need to allocate resources toward preventing or mitigating the effects of such events. This can mean that resources that were previously allocated to mitigating the risks of unique events may be redirected towards addressing the more significant risk posed by the super event.
However, it is important to note that the importance of unique events should not be overlooked or underestimated. These events may still pose significant risks and may require specific measures to prevent or mitigate their effects. Additionally, unique events may have consequences that cannot be addressed by measures intended to address super events.
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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.When Sally is depressed, she listens to music. I saw her today listening to music, so she must have been depressed.Question content area bottomPart 1Choose the correct answer below.A.The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed. B.The statement makes sense. Sally listens to music when she is depressed. The statement clearly communicates that this is the only time Sally listens to music.C.The statement does not make sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must not be depressed. D.The statement does not make sense. Sally listens to music when she is depressed, but the statement does not clearly state that this is the only time Sally listens to music.
Based on the given statement, the correct answer would be:
option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.
The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.
Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.
Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.
On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.
Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.
In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.
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(2/5)x2x100 divided by 2/3 +(2x4 divide by (13-5)
Answer: The answer is 121
Helppppp meeeeeeee plsssss
Which equation shows a correct trigonometric ratio
for angle A in the right triangle below?
The equation shows a correct trigonometric ratio for angle A in the right triangle is cos A = 15/17. Option 3
How to determine the trigonometric ratioTo determine the ratio, we need to know the different trigonometric identities.
These identities are;
sinecosinecosecantsecantcotangenttangentThe different ratios of these identities are;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the diagram shown, we have that;
Opposite = 8cm
Adjacent = 15cm
Hypotenuse = 17cm
Using the cosine identity, we have;
cos A = 15/17
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