Answer:
3√265
Step-by-step explanation:
The distance between the given points is √265. If all the side are the same length on an equilateral triangle, then the perimeter is 3 times as long.
In the word PARADISE,how many pairs are there which have as many letters between them in the word as in the alphabet?
Answer:
three
P A R
A R A D
A D I S E
P Q R
A B C D
A B C D E
There are three such pairs of letters.
solve for x please help ! (show work)
Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Answer:
X=-5
Step-by-step explanation:
-(5x-2)=27
-5x+2=27
-5x=27-2
-5x=25
x=25/-5
=-5
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
NEED IT FAST PLZ
Look at the two equations: ( look at picture is you don't understand)
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
A.) In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B.) In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
C.) The process is exactly the same for solving the equation and solving the inequality.
D.)The process for solving the equation is entirely different from solving the inequality.
Answer:
I believe it's A) "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality."
Step-by-step explanation:
I say this because that's essentially the first step when solving both an equation and inequality.
(In case you were wondering, the next step would be to divide -3 on both sides, in order to get x by its self.)
Hope this helps :)
ach ant has 6 legs. How many legs do 3 ants have?
Ants 1 2 3
Legs 6 ?
Answer:
Step-by-step explanation:
the answer is 18 I think?
Answer:
18
Step-by-step explanation:
6 (legs) x 3 (ants) = 18 legs
It can also be represented as 6+6+6 (18)
hope this helps :)
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Makeeya only has $25 to spend on a custom T-shirt. It costs $10 for a plain T-shirt, and there is a charge of $$1.50 for each square inch of design added to the T-shirt. Which solution represents the number of square inches of design,x , Makeeya can put on her T-shirt?
Answer:
10 square inches
Step-by-step explanation:
cost of a plain t-shirt = $10
cost of 1 square inch of design addition = $1.50
let there be x square inches of design
then cost of x square inches of design = x*cost of 1 square inch of design
= 1.50*x = 1.5x
Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design = 10 + 1.5 x
It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only
Thus,
10 + 1.5 x = 25
=> 1.5x = 25-10 = 15
=> x = 15/1.5 = 10
Thus, Makeeya can put 10 square inches of design on her T-shirt.
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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find the sum for(2x−6)+4(x−3)
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(2x - 6) + 4(x - 3)
Step 2: Simplify
Distribute 4: 2x - 6 + 4x - 12Combine like terms (x): 6x - 6 - 12Combine like terms (Z): 6x - 18Dan Invests £2500 into his bank account. He receives 5% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Please help me give me the answer:
Explanation:
Answer:
Sure, I'd be happy to help you with that!
To calculate Dan's earnings with simple interest, we can use the following formula:
I = P * r * t
where:
I = interest earned
P = principal amount (initial investment)
r = interest rate (as a decimal)
t = time period (in years)
We know that Dan invests £2500 and receives 5% simple interest per year, so:
P = £2500
r = 0.05
t = 2 years
Plugging these values into the formula, we get:
I = £2500 * 0.05 * 2
I = £250
This means that Dan will earn £250 in interest over the 2-year period.
To calculate Dan's total earnings, we simply add the interest earned to the initial investment:
Total earnings = £2500 + £250
Total earnings = £2750
Therefore, Dan will have £2750 in his bank account after 2 years.
Anybody know this if you do plz help
Answer:
1. m = -3 b = 2
2. m = 1/2 b = -1
3. m = -1 b = 79
4. m = 2 b = -2
5. y = -4x + 3
Step-by-step explanation:
1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.
2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept
3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.
4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to y = mx + b. you get -2 = -2(0) + b. so, b = -2.
5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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Valeria is training for a marathon. She jogs the same 15 mile route twice in one week. On Monday, she jogged the route in 1.75 hours. Thursday, she tried to improve her speed. She jogged the same route in 1.63 hours. Her smart watch said her rate on Monday was 8.57 miles per hour. She forgot to set the smart watch to calculate her rate on Thursday. Use the information you have to calculate how fast she was running on Thursday.
Answer:
9.20 miles per hourStep-by-step explanation:
Given data
distance of the route = 15miles
time taken on Monday= 1.75hours
speed= distance./time
speed= 15/1.75
speed= 8.57 miles per hour
her smart watch is correct
time taken on Thursday= 1.63hours
speed= distance./time
speed= 15/1.63
speed= 9.20 miles per hour
she was jogging at 9.20 miles per hour
if x+1/x=5 then find the value of (x^2+1/x^2) is?
Recall that
\((a+b)^2=a^2+2ab+b^2\)
So we have
\(\left(x+\dfrac1x\right)^2=x^2+2+\dfrac1{x^2}\)
Given that \(x+\frac1x=5\), we get
\(x^2+\dfrac1{x^2}=5^2-2=\boxed{23}\)
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
Someone please help me with this
Answer:
105
Step-by-step explanation:
You would multiply 7 by 15 to get 105 oz.
Answer:
the answer for the one below 15 is 105
Step-by-step explanation:
since all the problems are related to 7 (1 x 7, 7 x 10) you would do 15x7, which gives you 105.
Plz give brainliest if correct :-)
Type 7.2e-4 as a floating-point literal but not using scientific notation, with a single digit before and five digits after the decimal point.
Answer:
A
Step-by-step explanation:i did the test
The value of the floating point number is A = 0.00072
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 7.2e⁻⁴
On simplifying the equation , we get
A = 7.2 x 10⁻⁴
The value of the decimal point is moved 4 units to the left , so
The number A is A = 0.00072
Hence , the floating point number is A = 0.00072
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Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
The graphs of triangles LMN and NOP are shown.
which of the following best describes the slope of line LP?
A) 5/2
B) 2
C) 2/5
D) 1/3
===========================================================
Explanation:
Point L is located at (-8, 1) while P is at the point (7,7)
Let's apply the slope formula for these two points
m = (y2-y1)/(x2-x1)
m = (7-1)/(7-(-8))
m = (7-1)/(7+8)
m = 6/15
m = (3*2)/(3*5)
m = 2/5 is the slope of line LP
A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.
A store is having a sale on jelly beans and trail mix. For 9 pounds of jelly beans and 7 pounds of trail mix, the total cost is $51 . For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $27. Find the cost for each pound of jelly beans and each pound of trail mix.
Answer: Trail Mix is $2.75 per pound-
Jelly beans are $3.75 per pound-
Its hard to explain, but heres the answer! brainly please
Find the volume of the prism. 6m 1 12m
Answer:
792 ,^3
Step-by-step explanation:
volume of cuboid=length * breadth * height
=11 * 6 * 12
=792 m^3
\( \boxed{Volume=792m³}\)
Answer:
\(\displaystyle\red{answer}\)
\(\blue{length[L]=11m}\)
\(breadth[b]=6m\)
\(height [h]=12m\)
\(\green{Volume=l*b*h=11*6*12=792m³}\)
Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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Polynomials
Multiply (x - 5)(3x – 2)
9514 1404 393
Answer:
3x² -17x +10
Step-by-step explanation:
Use the distributive property and collect terms.
(x -5)(3x -2) = x(3x -2) -5(3x -2)
= (3x² -2x) +(-15x +10)
= 3x² -17x +10
What is an equivalent ratio
Answer:
Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
What is the value of -3/4-(-3/8)
a. -1 1/8
b. -3/8
c. 3/8
d. 1 1/8
pls pls pls help
The inclusion of seasonal dummy variables to a multiple regression model may help eliminate autocorrelation if the data are characterized by seasonal fluctuations. A. perfect multicollinearity. B. bias in OLS slope estimates caused by autocorrelation. C. near multicollinearity. D. All of the options are correct.
The correct option among the given is option B , bias in OLS slope estimates caused by autocorrelation.
In the presence of autocorrelation, as in the case of heteroscedasticity, the OLS estimators are still linearly unbiased, consistent, and asymptotically normally distributed, but they are no longer efficient (i.e., minimum variance).
A dummy variable is a binary variable with a value of either 0 or 1. Such variables are added to a regression model to represent binary factors, which are either observed or not observed.
A dummy variable can be used to indicate whether a data point possesses a specific property. A dummy variable, for example, can be used to indicate whether a car engine is 'Standard' or 'Turbo.' Or whether a participant in a drug trial is in the placebo or treatment groups.
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HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
What’s the answer to this question
Answer: 6h + 4.5d + 10 = 61
Explanation: We know that peanuts cost 5 each, and they bought two. So, 10 dollars.
We don't know how many hotdogs or drinks they've bought so that will be our variable.
Hot dogs = 6$
Drinks = 4.5$
Total Price = 61
6h + 4.5d + 10 = 61
tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill?
Answer:
Step-by-step explanation:
Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.
4. Which equation represents the line passing through points (3, 8)
and (6, 16)?
y = ³x
Y= 8x + 3
y = x
Y= 3x + 8
\(m=\frac{16-8}{6-3}=\frac{8}{3}\\\\y-8=\frac{8}{3}(x-3)\\\\y-8=\frac{8}{3}x-8\\\\\boxed{y=\frac{8}{3}x}\)