factor k^2 +3x-10 .....
Answer:
I think you mean: x^2 + 3x - 10, then
x^2 + 3x - 10
= x^2 + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
=(x - 2)(x + 5)
Hope this helps!
:)
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
Here are two closed containers and four balls just fit in each container. Each ball has a diameter of 54 mm. Which container has the smaller surface are? You must show your working
both containers have the same surface area and neither has a smaller surface area than the other.
Container 1:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Container 2:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Both containers have the same surface area.
To calculate the surface area of the two containers, I first calculated the surface area of one ball by using the formula π x (diameter/2)^2. I then multiplied this by 4 to get the total surface area of 4 balls. I repeated this process for both containers and found that both containers had the same surface area of 12,370.48 mm^2. both containers have the same surface area and neither has a smaller surface area than the other.
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can someone please help???
Answer:
2/3
Step-by-step explanation:
.that's the answer
brainliest for correct answer
Answer:
Hey there!
The point (0,0) represents that 0 dollars are raised at the beginning of the fundraiser.
Let me know if this helps :)
Answer:
B. $0 is expected to be raised in the fundraiser.
Hope this helps!
What is the slope of the line 4x-2y=5
Answer:
slope = 2
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Edgen 2023
Best Buy has a store brand TV for $700. This is $250 more than 1 of the cost of a deluxe model 4 that they also carry. What is the price of the deluxe model that Best Buy has in their store? Write out the equation.
Answer:
$950
Step-by-step explanation:
$700 + $250 = $950
XYZ is congruent to TRS m<S =103° and m<X=29° find m<R
Answer:
∠R = 48°
Step-by-step explanation:
If ΔXYZ is congruent to ΔTRS, then ∠S ≅ ∠Z, ∠X ≅ ∠T, and ∠R ≅ ∠Y by CPCTC.
⭐What is CPCTC?
Corresponding Parts of Congruent Triangles are CongruentGiven:
∠S = 103°
If ∠X = 29°, then ∠T = 29° by CPCTC.
To find ∠R, we have to utilize the triangle sum theorem.
⭐What is the triangle sum theorem?
the sum of all the angles in a triangle equals 180°Set up the equation to represent the triangle sum theorem for TRS.
103 + 29 + ∠R = 180
139 + ∠R = 180 . . . . . . . . add like terms
∴ ∠R = 48° . . . . . . . . . . . subtract 139 from the LHS and RHS
⭐if this response helped you, please mark it the "brainliest"!⭐
Solve the following compound inequality x + 122 and 2x – 822
ANSWER
[5, ∞)
EXPLANATION
First we have to solve each inequality separately:
\(\begin{gathered} x+1\ge2 \\ x\ge2-1 \\ x\ge1 \end{gathered}\)And the other inequality
\(\begin{gathered} 2x-8\ge2 \\ 2x\ge2+8 \\ 2x\ge10 \\ x\ge\frac{10}{2} \\ x\ge5 \end{gathered}\)Graphing this solution set:
Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)
What is the area of the triangle 4,3,5
Please mark brainliest :]
Answer:
60
Step-by-step explanation:
first you have to multiply the the base times the height which in this problem its 4 and 3 then you get 12 area sq feet after all that you must multiply the width or 3rd number to get your finale answer that in this case is 60.
How many degree does a minute hand of a clock turn through from 6:20am to 7:00am same day
The minute hand of a clock turns through 240 degrees from 6:20 am to 7:00 am on the same day.
To determine the number of degrees the minute hand of a clock turns from 6:20 am to 7:00 am on the same day, we need to calculate the elapsed time in minutes and convert it to degrees.
From 6:20 am to 7:00 am, there are 40 minutes elapsed.
In a clock, the minute hand completes a full revolution (360 degrees) in 60 minutes. Therefore, in one minute, the minute hand turns 360 degrees / 60 minutes = 6 degrees.
Now, we can calculate the degrees the minute hand turns from 6:20 am to 7:00 am:
Degrees = Minutes × Degrees per minute
Degrees = 40 minutes × 6 degrees per minute
Degrees = 240 degrees
So, the minute hand of a clock turns through 240 degrees from 6:20 am to 7:00 am on the same day.
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HELP MEEEEEEEEE and thank you if you doooo
Answer:
a
Step-by-step explanation:
car is traveling faster
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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I need help plz help me
PLEAZE HELP!!!
Is ±√x + 2 a function?
Answer:
no
Step-by-step explanation:
condition to be a function is that for one x value, only one f(x) can be obtained
Use the slope formula to find the slope between the given two points.
(-4, -1) and (-2, -5)
Answer:
y2 -y1 over x2 - x1
Step-by-step explanation: plz mark brainliest
What is 1+1+1+1+11+1+1+1+11+1x0+1?
The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.
To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.
Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30
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PLEASE GIVE BRAINLIEST <33
Answer:
The answer is 30
Step-by-step explanation:
First we'll start with PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
We'll start with multiplication: 1x0=0
Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1
Since we have two sets of 11, it would equal 22
Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
We have eight sets of 1. Adding them all together would equal 8.
Now the equation is: 22 + 8 which would equal 30
a) Which is higher, -7 or 4? b) Which is higher, -9 or -3?
Answer:
4 and -3
Step-by-step explanation:
By higher I think you mean greater
In this case, for a) 4 will be greater, and for b) -3 will be greater
find the second smallest positive integer that gives a remainder of $2$ when divided by $3$ and gives a remainder of $3$ when divided by $7$.
The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38
Given that,
We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.
We know that,
We get equations as
N = 3a + 2
N = 7b + 3
Subtracting these equations we have that
3a - 7b - 1 = 0
3a - 7b = 1
So,
a=12 and b=5
The second integer we get is 38
Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38
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example of descrpitive statistics variability and central tendency
Descriptive statistics is a branch of statistics that deals with the summary of data using numerical and graphical methods. Descriptive statistics is used to calculate different measures of central tendency, variability, and correlation.
Central tendency is the tendency of data to cluster around a central value, which can be found using measures like mean, median, and mode. On the other hand, variability is the extent to which the data varies from the central tendency and can be calculated using measures such as variance, standard deviation, and range.An example of central tendency can be a dataset of the ages of students in a classroom. The mean, median and mode are measures of central tendency that can be used to summarize the data.
The standard deviation is the square root of the variance and represents the average distance of the data points from the mean.In summary, central tendency and variability are two important aspects of descriptive statistics used to summarize data. While central tendency measures the center of a dataset, variability measures the spread of the data. Descriptive statistics is used to provide insights into a dataset by providing a summary of the data using numerical and graphical methods.
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In real life, the Mona Lisa measures 2 1/2 feet by 1
3/4 feet. A company that makes office supplies wants
to print a scaled copy of the Mona Lisa on the cover of
a notebook that measures 11 inches by 9 inches.
What is a set of possible dimensions that you could use for the scaled copy of the Mona Lisa?
Answer:
10×7 inches?
Step-by-step explanation:
mona lisa = 30inches × 21inches
notebook is 11 × 9
(30/21) ÷ 3= 10/7
So 10 × 7.
a bridge hand consists of 13 cards dealt at random from the deck of 52. the probability that a bridge hand will have exactly 2 queens is:
The probability that a bridge hand will have exactly 2 queens is 0.45%.
To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:
P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the total number of trials
k is the number of successes in the trials
p is the probability of success in a single trial
In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).
Plugging these values into the formula, we get:
P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹
= (78) * (1/169) * (4/13)¹¹
= (4/169) * (4/13)¹¹
This simplifies to:
P(exactly 2 queens) = (4/169) * (4/13)¹¹
= (4/169) * (4/169)¹¹
= (4/169)¹²
The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.
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It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h
an event a will occur with probability 0.7. an event b will occur with probability 0.4. the probability that both a and b will occur is 0.2. which of the following is true regarding independence between events a and b? a. performance matters resource
b. performance matters resource c. performance matters resource d. performance matters resource
Events a and b are not independent. The probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28).
If events a and b were independent, the probability of both events occurring would be the product of their individual probabilities (P(a) x P(b)). However, in this scenario, the probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28). This suggests that the occurrence of one event affects the occurrence of the other, indicating that they are dependent events.
Independence between events a and b refers to the idea that the occurrence of one event does not affect the probability of the other event occurring. In other words, if events a and b are independent, the probability of both events occurring is equal to the product of their individual probabilities. However, in this scenario, we are given that the probability of event a occurring is 0.7, the probability of event b occurring is 0.4, and the probability of both events occurring is 0.2. To determine whether events a and b are independent, we can compare the probability of both events occurring to the product of their individual probabilities. If the probability of both events occurring is equal to the product of their individual probabilities, then events a and b are independent. However, if the probability of both events occurring is less than the product of their individual probabilities, then events a and b are dependent.
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How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23
The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.
What is the addition of the numbers?The sum is also know as addition.
The table below represents a breakdown of food costs for Robert, a traveling salesman.
The amount that he spend in total for food on Friday will be
→ 13.30 + 10.76 + 16.74
→ $ 40.80
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Answer:
44.98
Step-by-step explanation:
Find the value of cos Q rounded to the nearest bundredth, if necessary,
Answer:
0.44
Step-by-step explanation:
Cosine is equal to the adjacent side divided by the hypotenuse.
For Q' this would be 11/25. 11/25=0.44
What is the explicit formula for this sequence?
−7, −4, −1, 2, 5, …
The explicit formula for the sequence is 3n -10
What is an Arithmetic Sequence ?An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
\(\rm T_n = a +(n-1)d\)
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
\(\rm T _n = -7 + (n-1) * 3\)
\(\rm T _n\) = -7 +3n -3
\(\rm T _n\) = 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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Any intelligent bean? I only need the answer for the two options down there
Answer:
wait a minute are you in colege right now
a) A circular channel section has diameter of 6m and it is running half. Calculate the discharge through the channel if the bed slope is 1 in 600 and manning’s co efficient is equal to 0.014.
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:
Q = (1/n) * A * R^(2/3) * S^(1/2)
where:
Q is the discharge (flow rate)
n is Manning's coefficient (0.014 in this case)
A is the cross-sectional area of the channel
R is the hydraulic radius of the channel
S is the slope of the channel bed
First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:
A = π * r^2 = π * (3m)^2 = 9π m^2
Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:
R = r = 3m
Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:
S = 1/600
Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):
Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)
Using a calculator, the discharge can be evaluated to get the final result.
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