Answer:
7-3x<0
7 < 3x
3x > 7
x > 7/3
Hope it helps :)
Answer:
7-3x<0
7-3+5
-1
__&96&6$96&6 $96$6*"586*6)*5)"-*-*6*=$6=*)5$)5"
simplify (3+ radical sign 2)(3- radical sign 2)
Answer:
using identity (a+b)(a-b) = a^2 -b^2
helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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This afternoon Troy left school, rode the bus 3/10 of a mile, and then walked 1/5 of a mile to get home. How much farther did Troy ride than walk?
Troy rode 1/10 of a mile farther on the bus than he walked to get home
Let's find out how much farther Troy rode the bus than walked.
1. Convert the distances Troy traveled into a common denominator.
Troy rode the bus 3/10 of a mile and walked 1/5 of a mile. To compare these fractions, we need a common denominator, which in this case is 10.
2. Convert the fractions.
For the walking distance, we can multiply both the numerator and denominator by 2 to get a denominator of 10.
1/5 * 2/2 = 2/10
3. Compare the distances.
Now, we have both distances with a common denominator of 10: riding the bus was 3/10 of a mile, and walking was 2/10 of a mile.
4. Calculate the difference in distances.
Subtract the walking distance from the bus distance to find the difference:
3/10 - 2/10 = 1/10
5. Interpret the result.
Troy rode the bus 1/10 of a mile farther than he walked.
In conclusion, Troy rode 1/10 of a mile farther on the bus than he walked to get home.
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Complete the table for the given rule.
Rule: y=x-1/4
4
y
1
13
4
2
Answer:
Step-by-step explanation:
In the equation, x-1/4 means 1/4 is subtracted from x to find each value of y,we need to take each value of x and subtract 1/4 for example: when x = 1/4: y = 1/4 - 1/4 , y = 0
5,873
Х 4.
5,000x4=
800x4=
70x4=
3x4=
+
I’m lost I just want the answer pls help me I only want the answer I need this done before tomorrow and I really need help
Answer:
1)5873 x 4=23492
2)5000 x 4=20000
3)800 x 4=3200
4)70 x 4=280
5)3 x 4=12
Step-by-step explanation:
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has how many seats
Answer:
The equation x + (2 x + 40) + (3 x - 50) = 15,002 represents this scenario suitable.
Step-by-step explanation:
Hope it helps :)
I know I'm answering all your questions it's just bc I'm bored
What’s the range of this graph?
Answer:
(5, negative infinity)
Find the area of this shape. Correct answer will Brainliest
Answer:
As shown in picture, this is a trapezoid.
The area of a trapezoid is calculated by:
A = (base1 + base2) x height x (1/2)
To work out A, we need to find out base1, base2, and height.
base1 = YZ = \(\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3\)
base2 = XW =\(\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7\)
Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.
=> A = (3 + 7) x 4 x (1/2) = 20
Hope this helps!
:)
Ameekah is working with consecutive integers. If she uses x to represent her first number, what should she use to represent her second number?
x
x + 1
x + 2
2x
She should use (b) x + 1 to represent her second number
How to determine the representation of the second number?From the question, we have the following statements that can be used in our computation:
She uses x to represent her first numberThe numbers are consecutive numbersAs a general rule
Consecutive numbers are number that have a difference of 1 i.e both numbers are next to each other
Take for instance:
2 and 3, 5 and 6, 10 and 11 are all instances of consecutive numbers
Recall that she uses x to represent her first number
This means that the next number is
Next number = First number + 1
Substitute the known values in the above equation, so, we have the following representation
Next number = x + 1
Hence, the second number is (b) x + 1
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The plane with equation r= (1, 2, 3) + m(1, 2, 5) + n(1, 1, 3), m, n e R, intersects the x- and z-axes at the points A and B respectively. Determine the Cartesian equation of the line that contains these two points.
The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.
To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.
Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.
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fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3 viles of each colorI have 496 cups of paint to fillratio of powder to paint is one part powder to five part paint I know that 3 vials of powder which is 60g= 0.2536 cups. & .2536 cups ×5 parts paint= 1.268 cups of mixture. I got this from theBecks on hereknowing this how many sets of powder do I need to buy in order to us all my paint?
First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have
\(\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}\)We write this as a ratio
\(\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}\)for the 496 cups of paint you will need 99.2 cups of powder.
Continue by seeing how may grams there are in 99.2 cups
\(\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}\)write it as a ratio and solve for x again.
\(\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}\)now find how many vials you will need
\(\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}\)write the ratio and solve
\(\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}\)If each sets comes with 12 sets, write the ratio and find the number of sets you will need
\(\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}\)\(\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}\)you will need 98 sets for this amount of paint.
Diane will barrow $3000 at 13.5% APR. She will pay it back over 36 months. What will her monthly payment be?
Diane's monthly payment for borrowing $3,000 at 13.5% APR over 36 months is $101.81.
How is the monthly payment determined?We can use an online finance calculator to compute the monthly payment, setting the following parameters.
The monthly payment shows the periodic payment that must be made to settle the loan with the finance charges.
N (# of periods) = 36 months
I/Y (Interest per year) = 13.5%
PV (Present Value) = $3,000
FV (Future Value) = $0
Results:
Monthly payments (PMT) = $-101.81
Sum of all periodic payments = $-3,665.01
Total Interest = $665.01
Thus, Diane will pay $101.81 monthly for 36 months.
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How many angles are formed by the intersection of the diagonals?
The number of angles that are formed by the intersection of the diagonals is 4.
What is a square?A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.
It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.
Square area = Side²
The square's perimeter = 4 sides
Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.
Therefore, the correct option is 4.
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Complete question
How many angles are formed by the intersection of the diagonals in a square?
. what is the value of the 30th percentile for the data set? 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6
The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.
To find the value of the 30th percentile,
We need to sort the data set in ascending order first,
1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20
The 30th percentile is the value below which 30% of the data falls.
To find this value, we can use the formula,
P = (n / 100) × x
where P is the desired percentile (30th percentile in this case),
n is the total number of data points,
And x is the rank of the value corresponding to the desired percentile.
Here,
The total number of data points n = 20
x = (30 / 100) × 20
= 6.
This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.
Therefore, the value of the 30th percentile for the given data set is 5.
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Solve the following and show your solution.
5.) -11 = 7 - x
15.) 95 = -4 + 33x
Answer:
Step-by-step explanation:
5.) -11 = 7 - x
To solve for x, we need to isolate x on one side of the equation. We can do this by adding x to both sides of the equation, and then subtracting 11 from both sides:
-11 + x = 7
x = 7 + 11
x = 18
Therefore, the solution is x = 18.
15.) 95 = -4 + 33x
To solve for x, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides of the equation, and then dividing both sides by 33:
95 + 4 = 33x
99 = 33x
x = 99/33
x = 3
Therefore, the solution is x = 3.
which list shows these numbers In order from least to greatest?
Answer:
The answer is C
Step-by-step explanation:
i did the lesson
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(0, -3)
explanation:
original coordinates of C: (0, -7)If reflected over y axis, there will be additive inverse in x unit
use the formula: (x,y) → (−x, y)
new coordinates: (0, -7)Then if translated vertically, there will be change in y axis:
(0, -7+4) → (0, -3)
Addition of expressions (3√5 -5√3 ) and (2√5 + 5√3 ) gives
\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's add ~
\(\qquad \sf \dashrightarrow \: 3 \sqrt{5} - 5 \sqrt{3} + (2 \sqrt{5} + 5 \sqrt{3} )\)
\(\qquad \sf \dashrightarrow \: 3 \sqrt{5} + 2 \sqrt{5 }- \cancel{5 \sqrt{3}} + \cancel{5 \sqrt{3} }\)
\(\qquad \sf \dashrightarrow \: 5 \sqrt{5} \)
Hii!
_________________________________________________________
\(\leadsto\parallel\odot\boldsymbol{Answer.}\odot\parallel\gets\)
value of the expression: \(\sf 5\sqrt5\)
_________________________________________________________
\(\leadsto\parallel\odot\boldsymbol{Explanation.}\odot\parallel\gets\)
ADD the given expressions.
\(\bullet~~\) \(\sf (3\sqrt{5} -5\sqrt{3} )+(2\sqrt{5}+5\sqrt{3})\)
\(\bullet\) \(\sf 3\sqrt5+2\sqrt5-5\sqrt3+5\sqrt{3}\)
NOW it's just a matter of combining like terms. Upon doing this we obtain
\(\bullet \sf 5\sqrt5\)
___________________________________________________________
Hope that this helped! Best wishes.
\(\textsl{Reach far. Aim high. Dream big.}\)
\(\boldsymbol{-Greetings!-}\)
_____________________________________________________
if f is continuous on [0, 1] and if f(x) is positive for each rational x, then does it follow that f is positive at all x?
If f is continuous on [0, 1] and if f(x) is positive for each rational x, then f is not necessarily positive at all x.
No, it does not necessarily follow that f is positive at all x.
Since f is continuous on [0, 1], it attains its minimum and maximum values on this interval. Let m be the minimum value of f on [0, 1]. Since f(x) is positive for each rational x, we know that m is positive or zero. However, it is possible for f to be zero at some point in [0, 1] where x is irrational.
For example, consider the function f(x) defined as:
f(x) = x^2 if x is rational
f(x) = 0 if x is irrational
This function is continuous on [0, 1], and it is positive for each rational x, since x^2 is always non-negative. However, f(√2) = 0, which shows that f is not positive at all x.
Therefore, it is not necessarily true that if f is continuous on [0, 1] and if f(x) is positive for each rational x, then f is positive at all x.
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The choices are
1. from two separate parts
2. positively correlated
The required choice is given as, " A scatter plot is best when the data are positively correlated."
Here,
A scatterplot is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.
A positive correlation is best suited for the scatter plot.
Thus, the required choice is given as, " A scatter plot is best when the data are positively correlated.
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Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
Step-by-step explanation:
its too blurry I can't see the numbers
This is a regular polygon find the value of x
For the given regular polygon with the angle sum of 10x + 4, the value of x = 143.6
What is regular polygon?They are referred to as regular polygons if the interior angles and sides are all equal. Equilateral triangles, squares, and other shapes are examples of regular polygons. Along with the sides being congruent, regular polygons also have congruent angles. They are equiangular, according to that.
We know that sum of interior angles of a regular polygon is
( n − 2 ) × 180°, where n is sides
For the given question
( 10 − 2 ) × 180°
= 8 × 180°
= 1440°
Given that
10x + 4 = 1440°
10x = 1436
x = 1436/10
x = 143.6
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If EH bisects GI and AC is tangent to circle E at point B, are AC and GI parallel? Prove your
answer.
Yes, AC is parallel to GI and ΔEHG ~ ΔEBA by AA rule.
Given is figure of a circle E, EH bisects GI and AC is tangent to circle E at point B,
Since given that EH ⊥ GI,
So, ∠EHG = 90°
Also, we know that the tangents are perpendicular to the circle, so,
∠EBA = 90°
Therefore, ∠EHG = ∠EBA
And, ∠AEB are common angle in both triangle,
So, ΔEHG ~ ΔEBA by AA rule.
Now, we can see, ∠EHG and ∠EBA are corresponding angles, and also are equal,
So by the converse of corresponding angles theorem we get,
AC ║ GI
Hence the ΔEHG ~ ΔEBA by AA rule and AC ║ GI.
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6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it
Answer:
Step-by-step explanation:
(1) 6x-2y=156
2×(2) ; 2(x-y=18)
;2x-2y=36
from (1)-2×(2)
is 6x-2y=156 -
2x-2y=36
4x=120
x=30
from (2)
x-y=18
x-18=y
y=30-18
y=12
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
COMPLETE QUESTION:
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
(Graph Below)
Which statement about the scatterplot is true?
A. The point (17, 12) could cause the description of the data set to be overstated.
B. The point (17, 12) could cause the description of the data set to be understated.
C. The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
D. Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
The statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.
What is scatter plot?Scatter plots are graphs that represent individual points of data and are labelled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.
We have the scatter plot shown in the picture.
As we can see in the scatter plot, there is a point (17, 12) which is not follow the trend like other points follows.
We can say about the data set, we might likely understate the relation between both variables.
Thus, the statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.
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PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportional sides
Answer:
3
Step-by-step explanation:
SSS similarity states that all 3 sides must be proportional for the triangles to be similar
if the temperature is -5 degrees. and if another city it's four less degrees. what is the temperature in the other city?
If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.
This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.
In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.
Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.
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9) An 8.2 km section of highway increases 870 m in elevation. The horizontal distance of the road is 8154m.
a) Calculate the slope to three decimal places
b) Calculate the angle of elevation to one decimal place. Tan x= opposite/adjacent
c) Calculate the percent grade to one decimal place. Percent Grade slope X 100
The distance around all the bases on a softball is 72 m kelly hits two home runs and runs around the base is twice how many millimeters will she run?
A scatterplot of y versus x shows a positive, nonlin- ear association. Two different transformations are attempted to try to linearize the association: using the logarithm of the y values and using the square root of the y values. Two least-squares regression lines are calculated, one that uses x to predict log(y) and the other that uses x to predict Vy. Which of the following would be the best reason to prefer the least-squares regression line that uses x to predict log(y)? (a) The value of r2 is smaller. (b) The standard deviation of the residuals is smaller. (c) The slope is greater. (d) The residual plot has more random scatter. (e) The distribution of residuals is more Normal.
The best reason to prefer the least-squares regression line that uses x to predict log(y) would be that the standard deviation of the residuals is smaller.
When we have a scatterplot that shows a positive, nonlinear association, we may attempt to transform the data to linearize the association.
In this case, two different transformations were attempted, using the logarithm of the y values and using the square root of the y values.
Two least-squares regression lines were then calculated, one that uses x to predict log(y) and the other that uses x to predict Vy.
To determine which of these regression lines is preferred, we need to consider several factors.
One important factor is the value of r2, which tells us how much of the variability in the response variable (y) is explained by the regression model.
A larger r2 indicates a better fit to the data.
However, in this case, the value of r2 alone may not be sufficient to determine which regression line is preferred.
Another important factor to consider is the standard deviation of the residuals, which measures how much the actual values of y deviate from the predicted values. A smaller standard deviation of the residuals indicates a better fit to the data.
Furthermore, we should also consider the slope of the regression line, which tells us the direction and strength of the relationship between x and y.
A greater slope indicates a stronger relationship.
In addition, we need to examine the residual plot, which shows the difference between the actual values of y and the predicted values.
A residual plot with more random scatter indicates a better fit to the data.
Finally, we should also consider the distribution of residuals, which should be approximately Normal. A more Normal distribution of residuals indicates a better fit to the data.
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