Final answer:
The equation for finding the value of K when increased by 10 equals 24 is K + 10 = 24, and solving it results in K = 14.
Explanation:
A number K increased by 10" is represented by K+10.
"Is the same as" means equal to.
"24" is represented by 24.
Therefore, we can express this relationship as an equation where the left side represents "a number K increased by 10" and the right side represents "24."
The equation to represent the situation where a number K increased by 10 equals 24 is:
K + 10 = 24
This equation signifies that when the unknown number K is augmented by 10, the resultant value equals 24. It serves as a concise representation of the given condition, enabling the determination of K by solving the equation.
Through such algebraic manipulation, one can discern that the value of K:
K = 24 - 10 = 14
PLZ HELP ASAP!!!
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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer:
Answer:
2
Step-by-step explanation:
The slope given two points is found by
m= (y2-y1)/(x2-x1)
= (2 - -6)/(2 - -2)
=(2+6)/(2+2)
=8/4
2
there’s 2 formulas
A=1/2ap and A=1/2ans
a-apothem
p-perimeter
n-number of sides
and “s” is if there’s an outsides number
The are of the given heptagon is 243 u³.
In the given polygon,
Number of sides = 7
Hence this is a heptagon, which has,
Length of edge = 9 unit
Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.
Since we know that,
Area of heptagon = (7 / 4) × edge² × cot(π/7)
Therefore,
Area of heptagon = (7 / 4) × 9² × cot(π/7)
= (7/4) x 81 x 2.07
≈ 243 u³
Hence,
The area is approximately 243 u³
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At a yearly basketball tournament, 84 different teams complete, after each round of the tournament, one-fourth of the team remain.
Create a function which models the above scenario and explain how you arrived at each part of the function
Answer:
84*(1/4)^x
Step-by-step explanation:
84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).
So, if you wanted to see if the amount of teams after three rounds you would do:
84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.
Solve the system of equations.
x+y+z=10
5x+3y=14
x−2y+z=2.5
PLZ HELP!!!!!!!!!!
Answer:
y=3,x=1.3,z=6.2 :)
Step-by-step explanation:
y=3,x=1.3,z=6.2 :)
So, we have:
: x+y+z=10 [equation 1]
: 5x+3y=14 [equation 2]
: x−2y+z=2.5 [equation3]
(I'm going to assume that you know how to solve equations with 2 variables)
1. eliminate a variable to get 2 variables
Let's reverse equation 2:
-x+2y-z= -2.5
and take equation 1, to try to eliminate "z"
x+y+z=10
add up the 2 equations to get:
3y=7.5
and solve to get
y=2.5
2. substitute what we already solved into another equation
Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.
5x+3y=14 --> 3x+3(7.5)=14
solve to get
x=1.3
3. Substitute both of our variables in to get the final variable: z
Let's take the first equation.
x+y+z=10 --> 1.3+2.5+z=10
solve to get
z=6.2
I hope this helps you!
Determine the x-intercepts of the function. Check all
that apply.
(-2,0)
(-1, -2)
(0,0)
(1,0)
(2,0)
The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.
What is an intercept?To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.
From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.
Setting f(x) to zero for each of the points, we get:
At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.
At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.
At (0,0): f(0) = 0, so x = 0 is an x-intercept.
At (1,0): f(1) = 0, so x = 1 is an x-intercept.
At (2,0): f(2) = 0, so x = 2 is an x-intercept.
Therefore, the x-intercepts of the function are (0,0) and (-2,0).
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A blueprint for a new triangular playground shows that the sides
measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.
Yes, the playgrounds shape is the right angle triangle.
Step-by-step explanation:
The sides of the triangular ground are 480 ft. 140 ft. And 500ft.
We can find if the sides given are the sides of a right triangle by using pythogoras theorem.
Here, the largest side is 500ft.
So,
√[(480x480) +(140x140) ]
= √[(230400) +(19600) ]
= √(250000)
= 500
The pythogoras theorem is proved.
So, the playground is in the shape of triangle.
What is the circumference of circle P?
Express your answer in terms of
please help me with this question (:
[tex] \frac{59 + x}{2} = 78 \\ 59 + x = 156 \\ x = 97[/tex]
Answer: VW=97
Solve Thais equation
2x=8(4x-5).
Answer:
[tex]x = \frac{40}{-30\\}[/tex]
Step-by-step explanation:
Lets start by working with our numbers on the right side of the equation.
Begin by using distributive property, turning:
2x = 8(4x - 5) into 2x = 32x - 40
To make things easier, lets subtract 32x on both sides
-30x = 40
Finally, divide by -30 on both sides to get our answered, simplified if necessary:
[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]
Triangle QRS is transformed as shown on the graph. On a coordinate plane, 2 triangles are shown. The first triangle has points Q (2, negative 1), R (5, negative 2), S (4, 1). The second triangle has points Q prime (negative 1, negative 2), R prime (negative 2, negative 5), S prime (1, negative 4). Which rule describes the transformation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer:
270°
Step-by-step explanation:
Q: (2,-1) --> (-1,-2)
R: (5,-2) --> (-2,-5)
S: (4,1) --> (1,-4)
In general
(x , y) --> (y, -x)
90° clockwise rotation
270° anti-clockwise rotation
Answer:
The correct answer is 270°
solve this equation 0.5x-0.3=0.2
Answer:
x = 1
Step-by-step explanation:
0.5x-0.3=0.2
1. Multiply both sides by 10.
0.5x*10-0.3*10=0.2*10
2. Refine.
5x-3=2
3. Add 3 to both sides.
5x-3+3=2+3
4. Simplify.
5x=5
5. Divide both sides by 5.
5x/5=5/5
6. Simplify.
x=1
Answer:
Step-by-step explanation:
0.5x - 0.3 = 0.2
add 0.3 to both the sides
0.5x - 0.3 + 0.3 = 0.2 + 0.3
0.5x + 0 = 0.5
0.5x = 0.5
[tex]x=\frac{0.5}{0.5}\\\\x = 1[/tex]
What is the value of x if gx-1 -2 =25? x=1/2 x=2 x=5/2 x=4
Answer:
x=5/2
Step-by-step explanation:
The value of x in the equation is 4.
What is meant by exponent ?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Here,
The equation given is,
g⁽ˣ⁻¹⁾- 2 = 25
g⁽ˣ⁻¹⁾ = 27
g⁽ˣ⁻¹⁾ = 3³
Therefore,
x - 1 = 3
x = 4
Hence,
The value of x in the equation is 4.
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Find the average rate of change for f(x) = x - 8x + 15 from x = -3 to x = 2.
A)
-3
TM and
Submit
Answer:
Look at the picture
Step-by-step explanation:
The answer is B. -9
The mean and the standard deviation of the sampled population are, respectively, 77.4 and 4.0. Find the mean and standard deviation of the sampling distribution of the sample mean x overbar for samples of size n equals 225. Round your answers to one decimal place.
Answer:
See explanation below.
Step-by-step explanation:
We are looking for the mean and the standard deviation of the sampling distribution of the sample of mean x, given that the mean and standard deviation of sampled population are as follows:
Mean=μ= 77.4
Standard deviation = σ = 4.0
Sample size n = 255
so, the mean of sample mean x will be same as mean of the sampled population:
μₓ = μ = 77.4
and the standard deviation of sample mean x will be standard deviation of the sampled population divided by square root of sample size:
σₓ = σ / √ n
= 4.0 / √225
= 4.0 / 15
= 0.3
f(x) = 2x + 10 g(x) = 1(1.01)x
10 1.00
12 1.01
14 1.02
16 1.03
Which statement BEST compares the growth of the two functions as x approaches ∞?
A) The linear function will only exceed the exponential function if its initial value is greater.
B) The exponential function will only exceed the linear function if its initial value is greater.
C) The value of the linear function will eventually exceed the value of the exponential function.
D) The value of the exponential function will eventually exceed the value of the linear function.
Answer:
D
Step-by-step explanation:
I just did it on usatestprep so. its D
Answer:
d
Step-by-step explanation:
The value of the exponential function will eventually exceed the value of the linear function. A quantity increasing exponentially eventually exceeds a quantity increasing linearly.
Can anyone help me with this? I will mark you as brainliest
Answer:
2/7
then 2/14
Step-by-step explanation:
Let P(H)=p be the probability of one head. In many scenarios, this probability is assumed to be p=12 for an unbiased coin. In this instance, P(H)=3P(T) so that p=3(1−p)⟹4p=3 or p=34.
You are interested in the event that out of three coin tosses, at least 2 of them are Heads, or equivalently, at most one of them is tails. So you are interested in finding the likelihood of zero tails, or one tails.
The probability of zero tails would be the case where you only received heads. Since each coin toss is independent, you can multiply these three tosses together: P(H)P(H)P(H)=p3 or in your case, (34)3=2764.
Now we must consider the case where one of your coin flips is a tails. Since you have three flips, you have three independent opportunities for tails. The likelihood of two heads and one tails is 3(p2)(1−p). The reason for the 3 coefficient is the fact that there are three possible events which include two heads and one tails: HHT,HTH,THH. In your case (where the coin is 3 times more likely to have heads): 3(34)2(14)=2764.
Adding those events together you get p3+3(p2)(1−p)=5464. Note that the 3 coefficient
Jabier places five cards that are labeled 1 to 5 faced down on the table and mixes them up. What is the likelihood that his archenemy Luke will draw an odd numbered card?
A.Impossible
B.Unlikely
C.As likely as not
D. Certain
A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections?
If someone is able to help me fast that would be great!!!
Step-by-step explanation:
(i) Area of the first cross section
base,b = 8 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (8) (10)
area = 40 m²
(ii) Area of the second cross section
base,b = 12 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (12) (10)
area = 60 m²
Difference in the areas of the cross sections = 60 - 40 = 20 m²
Which equation represents a line that passes through the two points in the table
Answer:
B
Step-by-step explanation:
Slope:
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2}} =\frac{6-1}{6-3} =\frac{5}{3}[/tex]
This eliminates answer options C and D
If you plug either set of coordinates into equation B then you will know that it works because both sides will end up equal to each other
The line that passes through the given points in the table is represented by the equation y = 3x + 9. You can verify this by plugging the x-values into the equation and arriving at the corresponding y-values or by checking if the points lie on the line in the graph.
Explanation:To answer your question about which equation represents a line that passes through the two points given in the mentioned table, we can use the concept of linear equations and their graph. The equation of a line in slope-intercept form is given by y=mx+b where 'm' is the slope and 'b' is the y-intercept. From the information given, we can see the value of 'm' as 3 and 'b' as 9.
Therefore, the line that passes through the points provided is represented by the equation y = 3x + 9. To verify this, you can plug in the x-values from the table into this equation and you should be able to arrive at the corresponding y-values given in the table.
In the given figure, these points should lie on the line represented by the equation y = 3x + 9, verifying our solution.
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About 3.9 * 10 ^ 7 people live in California. About 1.3 * 10 ^ 6 people live in Maine. About how many more people live in California than live in Maine?
Answer:
3.7*10⁷ people.
Step-by-step explanation:
Estimated population of California = 3.9*10⁷ people
Estimated population of Maine = 1.3*10⁶ people.
Let x represent the estimated number of people that live in California more than Maine.
The number of people that live in California more than Maine can be found by finding the difference between the population of California to Maine.
No. Of people living in California - no. Of people living in Maine = estimated no of people that live in California more than Maine.
X = 3.9*10⁷ - 1.3*10⁶
X = 3.7*10⁷ people
About 3.7*10⁷ people live more in California than Maine
how many more people live in California than live in Maine is 37.7 × 10⁶ people.
Since 3.9 × 10⁷ people live in California and about 1.3 × 10⁶ people live in Maine. To find how many more people live in California than live in Maine, we take the difference of the two values.
Number of people more living in CaliforniaDifference,D = N - n where
N = number of people living in California = 3.9 × 10⁷ people and n = number of people living in Maine = 1.3 × 10⁶ peopleSo, substituting the values of the variables into the equation, we have
D = N - n
D = 3.9 × 10⁷ - 1.3 × 10⁶
D = 39 × 10⁶ - 1.3 × 10⁶
D = 37.7 × 10⁶ people
So, how many more people live in California than live in Maine is 37.7 × 10⁶ people.
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PPPLLLZZ I NEED HELPP You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.
Answer:
Yes, because 3,074.6 rounded would be closest to 3,000
Step-by-step explanation:
San Jose to Denver is 1,281 miles
Denver to Chicago is 1,004.7 miles
Chicago to new york city is 788.9 miles
When added up the total mileage is 3,074.6 miles
Answer:
Yes
Step-by-step explanation:
San Jose to Denver is 1281 miles
Denver to Chicago is 1002 miles
Chicago to New York is 789 miles
1281+1002+789 =3072
3000 miles is a close estimate
Our estimate is within 100 miles so I would say it is close
3.) You are wrapping a present in shape of a tube,
which is 12 feet long and has a radius of 2 ft. You
have 175 ft² of wrapping paper, do you have
enough? Find the surface area to provide your
correct answer.
Answer:
56π = 175.929, so no.
Step-by-step explanation:
Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)
2(4π) + 4π(12)
8π +48π
56π = 175.9 ft^2
solve for x
i will give brain-liest to whoever answers
Answer:
x = 10
Step-by-step explanation:
x² = 4×25
x² = 100
x = √100
x = 10
AB² = BD×BC
which number rational?
Answer:
A rational number is a number that can be express as the ratio of two integers.
Step-by-step explanation:
A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
A) set 2; mean = 30.1 and median = 22.9
B) set 1; mean = 26.2 and median = 22.7
C) set 2; mean = 26 and median = 25
D) set 1; mean = 23.625 and median = 23.5
Set 1 mean - 23.625
Set 2 mean - 23.5
Set 1 median - 23.5
Set 2 median - 22.5
This shows the answer is D :)
Determine the slope of the line that is perpendicular to the line y = -7x - 12.
Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
Describe any trends that you can see from the dot plot.
Help
Answer: Most planes flew below the optimal cruising speed. There is a cluster at the speeds 0.82 through 0.85. Also, the data is close to being symmetric
Step-by-step explanation:
Which expression is equivalent to (-8) - (-2)
Answer:
-6
Step-by-step explanation:
-8 - (-2)
A negative negative is a positive
-8+2
-6
Answer:
-6
Step-by-step explanation:
(-8) - (-2)
(-8) + 2 >>because - ( - ) = +
2 - 8
= -6
Hope this helps!
Remember:
- (-) = +
- (+) = -
+ (+) = +
A square's diagonal is 28√2. What is the length of each side?
23
42
28
25
Answer:
28
Step-by-step explanation:
you times it by itself divide that by two and take the squre root