y = 1
8-2y - 8 = 4y - 6
-2y = 4y - 6
-6y = -6
y = 1
Answer:
Step-by-step explanation:
8 - 2y - 8 = 4y - 6
-2y = 4y - 6
6y = -6
y = -1
A rectangular lawn is 40 feet by 50 feet. How wide a uniform strip has been mowed around
the edge if 3/10 of the lawn has not yet been mowed?
Answer:
The width of the strip is 28 ftStep-by-step explanation:
First lest us calculate the area of the rectangle
given that
length= 50ft
width= 40 ft
Area = length *width
Area= 50*40
Areaa= 2000 ft^2
given that 3/10 of the lawn is yet to be mowed
(3/10)*2000
0.3*2000= 600ft^2
Therefore the area that has been mowed is 2000-600= 1400 ft^2
1400 ft^2
since the direction of the mower is along the lenght of the lawn
area= lenght*width
1400= 50*width
width= 1400/50
width= 28 ft
Solve the equation.
t + 25 = 26
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
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In expanded form, log(1,000a^3/b) is equivalent to...
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
A company invests $10,000 in a mutual fund account that earns a fixed
interest per year. The account balance, Alt), in dollars, after t years is shown
in the table below.
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Which of the following equations represents Aſt)?
A(t) = 10,000 + 1.08t
A(t) = 10,000(1.08) - 1
A(t) = 10,800(1.08)
A(t) = 10,800(1.08) - 1
You
Answer:
a(t)=10000+1.08t
Step-by-step explanation:
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Evaluate the expression. Use y = 5 and z = 3
Yz² - 3
Yz²-3
y = 5
Z = 3
5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)
so we'll solve the multiplication first, followed by substraction so 5×9 = 45
45 -3= 42
3) Sue and Jim are driving on the highway. Sue takes 24 minutes to drive 40 km. If Jim drives
at the same rate, how long will it take for him to drive 115 km?
69 minutes
Answer:
69min
Step-by-step explanation:
sue: 24min 40km
.6 min per 1km
×115
115 km = 69 min
Jess is painting his car. He's created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15
pints of blue paint. How many pints of paint does he use in total?
A
18
B
33
С
11
D
26
Answer:
B.) 33
Step-by-step explanation:
15/5=3
6x3=18
18+15=33
The ratio shows how many times one value is contained in another value.
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
The ratio of minutes and minutes in 1 hour is 60 : 3600
We have,
Purple color:
Red : Blue = 6 : 5
Let,
Red colour = 6x
Blue color = 5x
Now,
Blue color = 15 pints
5x = 15 pints
x = 15/3
x = 3 pints _______(1)
Now,
Total color.
= Red + Blue
= 6x + 5x
= 11x
Now,
From (1) we get,
= 11x
= 11 x 3
= 33
Thus,
If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.
The total pints of paint used in total is 33 pints.
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which is longer, 12m or 13yd?
Answer:
13 yards
Step-by-step explanation:
Answer:
12m
Step-by-step explanation:
12 meters . a meter is approx. 4" longer than a yard, x 12 =48 inches (or thereabouts). a yard is 36 inches long therefore 12 meters is longer
1. Write 0.00000248 in scientific notation.
Answer:
2.48 × 10 -6
Step-by-step explanation:
i don't know how to put it, but the negative next to the 6 is small, and high up, and so is the 6
what is the solution of 2 - 3i and 2 + 3i?
Answer:
Step-by-step explanation:
Multiplying
(2 + 3i)(2 - 3i)
4 - 6i + 6i - 9i^2
4 - 12i + 9
13 - 12i
Add/subtract
2 - 3i + 2 + 3i = 2
2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i
Ax^2+bx+c=(x+p)(x+q) What you know about p and q if c is less than 0. WILL MAKE BRAINLIEST!! If u provide EXPLANATION :)
Answer:
From what I know there is no q.
p=0 I put a slight explanation below.Hope it helps
Step-by-step explanation:
Ax^2+bx+c-p=x
Ax^2+bx+c-p-x=x-x
Ax^2+(b-1)x+c-p=0
what property does this equation use.
If LM = NP , then NP = LM
-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric
Answer:
reflexive
Step-by-step explanation:
memorize it as the equal sign is a mirror that reflects so its the same!
this is for you Keaira
Answer:
C
Step-by-step explanation:
why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
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The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum
O A. True
O B. False
The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. Hence, Option A. True is the right choice.
What are absolute maxima and absolute minima?The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the lowest values respectively.
What are relative maxima and relative minima?The relative maximum is the point on the graph where the graph changes its direction from an increasing function to a decreasing function.
The relative minimum is the point on the graph where the graph changes its direction from a decreasing function to an increasing function.
How to solve the question?In the question, we are asked whether the given statement:
The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum,
is true or not.
In the given graph, we can observe that it was first a decreasing function, until a certain point, then it starts increasing until a certain point, then again decreased until a certain point, and after that went on increasing.
Hence it shows 3 points of inflections.
The first point is an absolute minimum point as the graph never goes below it.
The second point is a relative maximum as there is only a change in direction at that point, and there are points higher than that point.
The third point is an absolute minimum point as the graph never goes below it.
Therefore, we can say that the graph has:
Two absolute minimaOne relative maximumHence, the given statement is A. True.
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Answer:
false
Step-by-step explanation:
apie
If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to segment MB.
AB is the large segment.
AM is half of the large segment.
MB is the second half of the large segment.
AM = MB is true.
Segment AM is congruent to segment MB is true.
AB = MB is false.
The statements that are true.
-Segment AM is congruent to segment MB.
- AM = MB.
What is a midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
If M is the midpoint of segment AB, then the following statements are true.
- AB = 2MB
Since M is the midpoint of AB, MB is half the length of AB.
Therefore,
AB is twice as long as MB.
- AM = MB
Since M is the midpoint of AB, AM, and MB are equal in length.
This is a property of the midpoint of a segment.
Now,
Segment AM is congruent to segment MB.
Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.
Therefore,
Segment AM is congruent to segment MB with AM = MB statement being true.
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first term is 3, common difference is 4 what is the 5th term
Answer:
19
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 4 , thus
a₅ = 3 + (4 × 4) = 3 + 16 = 19
What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long
As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.
We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?
SOH
[tex]sin = \frac{opposite}{hypotenuse} [/tex]
CAH
[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]
TOA
[tex]tan = \frac{opposite}{adjacent} [/tex]
In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.
adjacent, a = 45.0
opposite, o = 32.0
So, to find the angle of elevation, refer to the second picture above.
Easy, 13 points: Name the intersection of plane X and plane Y
The intersection of the plane X and plane Y is line CQ.
What is plane?A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.
Here, we have two planes, X and Y.
There will always be a line at the intersection of two planes.
The planes should intersect in a straight line as long as they are not parallel.
Let CQ be the extended line of CB.
And here we have line CQ.
Which is the intersection of the planes.
Therefore, line CQ is the intersection of the planes X and Y.
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What is the measure of angle TRV? 20° 50° 60° 130°
Answer: 130
Step-by-step explanation:
Answer: 130 (D)
What is the measure of angle TRV?
4 ft 5 Ft what is the area
Answer:
20 ft²Step-by-step explanation:
4 x 5 = 20 ft²
24 - x = 32 , what is it he answer to this please !
Answer:
- 8
Step-by-step explanation:
Step 1:
24 - x = 32
Step 2:
- x = 32 - 24
Step 3:
- x = 8
Answer:
x = - 8
Hope This Helps :)
A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?
Answer:
The equation is C = 65h
Give 3 expressions equivalent to the expression 24x+60
help me please! don’t right nonsense! i have 15 minutes left!
Answer:
let M(-3,-4) be (x1, Y1)
T(5,0) be (x2,y2)
m:n = 2 : 3
using section formula
Q(x,y) = {mx2 + nx1/(m+n), my2 + ny1/(m+n)}
{ ( 10 -9)/5, (0 -12)/5}
(1/5, -12/5)
This could be answer if internally
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?
Steven's cards = x
Nathaniel's cards = 2x
Marcus' cards = 2x - 4
Kurt's cards = 2x - 5
Since the sum of the cards is equal to 47, let's set all the cards equal to 47
x + 2x + 2x - 4 + 2x - 5 = 47
Combine like terms.
7x - 9 = 47
Add 9 to both sides
7x = 56
Divide both sides by 7
x = 8
Let's plug 8 into x for Kurt's cards.
Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.
Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (use cubic inches as your unit) *
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.
The volume of a rectangular prism is calculated as thus:
[tex]Volume = Length * Width * Height[/tex]
So, Take for instance
[tex]Length = 2\ in[/tex]
[tex]Width = 3\ in[/tex]
[tex]Height = 4\ in[/tex]
The Volume would be:
[tex]Volume = 2\ in * 3\ in * 4\ in[/tex]
[tex]Volume = 24\ in^3[/tex]
2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
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Two students calculated the area of a polygon in the coordinate plans using different strategies explain the two methods and which do you prefer and why
Answer:
There are following two methods.
1-By using pre programmed calculator
2-By using formoula
Step-by-step explanation:
1-The first method i suggest for the calculation of area is by using the pre programmed calculator.
Enter the vertex clockwise or anticlockwise into the calculator.
this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.
2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula
First number the vertex in clockwise or anticlckwise direction.
Than use the following formoula to calculate the area of polygon.
Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]
here, if area is negative we take mode of it
[tex]x_{n}[/tex] is the x coorinate of nth vertex.
[tex]y_{n}[/tex] is the Y coorinate of nth vertex.
This method is universal. By using this method we can calculate area of any type of the polygon.