Answer:
Exact form:
x = √2, −√ 2
Demi cal form:
x=1.41421356…, −1.41421356…
If EF=2x−12, FG=3x−15, and EG=23, find the value of FG
Answer:
FG= 15
Step-by-step explanation:
2x-12+3x-15=23
5x-27=23
-27+27 23+27
5x=50
5x/5=50/5
x=10
FG= 3x-15
3(10)-15
30-15
FG=15
control
7) At one college, GPAs are normally distributed with a mean of 3 and a standard deviation of
0.6. Using the Empirical Rule, what percentage of students at the college have a GPA
between 3.6 and 4.8? Sketch a curve to show your work.
Celes
A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by y x 012 0 0.12 0.04 0.04 1 0.08 0.19 0.05 2 0.06 0.12 0.30 (a) Give the marginal density of both X and Y as well as the probability distribution of X given Y
What is m∠JNM? Line J L and line M K slightly inclined with horizontal intersects at N. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle J N M is labeled as left parenthesis 4 x plus 6 right parenthesis degrees. The measure of angle L N K is labeled as left parenthesis 7 x minus 21 right parenthesis degrees.
Answer:
JNM=42
Step-by-step explanation:
JNM is equal to LNK so you can set the equations equal to each other.
7x-21=4x+6, subtract 4x from both sides
3x-21=6, add 21 to both sides
3x=27, divide by 3
x=9, then you plug it into an equation
4 times 9 + 6
36+6
42
<JNM = [tex]42[/tex] degrees.
What is horizontal angle?The angle made by two ground lines is measured horizontally , and is called a horizontal angle.
According to the question
Line J L and line M K slightly inclined with horizontal intersects at N.
<JNM = <LNK
[tex]4x + 6 = 7x - 21[/tex]
Subtract 4x from both sides
[tex]6 = 3x -21[/tex]
[tex]3x=27[/tex]
Divide by 3
[tex]x=\frac{27}{3}[/tex]
[tex]x =9[/tex]
<JNM = [tex]4x+6[/tex]
<JNM = [tex]4(9)+6[/tex]
<JNM = [tex]42[/tex] degrees
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x to the second power plus 24 to the second power equals 30 to the second power .
Answer:
x = 18 or -18
Step-by-step explanation:
x^2 + 24^2 = 30^2
simplify
x^2 + 576 = 900
subtract 576 from both sides
x^2 = 324
Take square root of 324
+/- √324
x = 18 x = -18
18 or -18 is the answer
someone plz help me.............
Answer:
anser is 56
Step-by-step explanation:
[tex]6^{4x-9} =(\frac{1}{36} )^{x-4}[/tex]
[tex]\displaystyle \large \boldsymbol {} 6^{4x-9} =\bigg(\frac{1}{36} \bigg)^{x-4} \\\\\\ 6^{4x-9}=(6^{-2})^{x-4 }\\\\\\ 6^{4x-9}=6^{-2x+8} \\\\\\ 4x-9=-2x+8 \\\\\\ 4x+2x=9+8 \\\\\\ \boxed{x=\frac{17}{6}=2\frac{5}{6} }[/tex]
In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Month
Pay
1
100
2
150
3
200
4
250
b. Write an equation to define the sequence recursively
Answer:Secondary sources are works that analyze, assess or interpret an historical event, era, or phenomenon, generally utilizing primary sources to do so. Secondary sources often offer a review or a critique. Secondary sources can include books, journal articles, speeches, reviews, research reports, and more.
Step-by-step explanation:
hi what's this answer please? -3 1/2 - 1 5/6 =
Answer:
12
Step-by-step explanation:
-31*6 - 15*2
2*6
= -186 - 30
12
= -216
12
Answer = -216
12
Hope it helped
Answer:
- 5 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
- 3 [tex]\frac{1}{2}[/tex] - 1 [tex]\frac{5}{6}[/tex] ( change to improper fractions )
= - [tex]\frac{7}{2}[/tex] - [tex]\frac{11}{6}[/tex] ( multiply numerator/denominator of first fraction by 3 )
= - [tex]\frac{7(3)}{2(3)}[/tex] - [tex]\frac{11}{6}[/tex]
= - [tex]\frac{21}{6}[/tex] - [tex]\frac{11}{6}[/tex]
= [tex]\frac{-21-11}{6}[/tex]
= [tex]\frac{-32}{6}[/tex]
= - [tex]\frac{32}{6}[/tex]
= - 5 [tex]\frac{2}{6}[/tex]
= - 5 [tex]\frac{1}{3}[/tex]
Find the value of x.
Step-by-step explanation:
the sum of all angles in a triangle is always 180 degrees.
so,
x + 12 + 2x - 29 + x + 5 = 180
4x - 12 = 180
4x = 192
x = 48
someone please explain how to do the last one. I don’t want the answer, i just need to learn how to do it:) please help with m
Answer:
m∠y = 50 (Due to A)
m∠x = 50 (Due to F)
Step-by-step explanation:
Due to corresponding angles,
x = y = 50
Also, another thing... You wrote 60 degrees as your answer for the first part, you did a slight miscalculation.
180 - 130 = 50
So the answer for the first part is 50 degrees. However, the reasoning is correct!
Feel free to mark this as brainliest!
Which of the following shows 24.459 correctly rounded to the hundredths place?
Answer:
24.46
Step-by-step explanation:
The hundredths place is two places after the decimal. Since the thousandth place is a 9 this would round up the hundredths place to 6.
What type of dilation is formed when the scale factor K is greater than one
Answer:
Enlargement
Step-by-step explanation:
When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar. The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.
What is the equation in point-slope form of the line that passes through the point (5,-5) and is parallel to the line represented by y = -8x - 2?
Answer: y + 5 = -8 ( x - 5 )
Step-by-step explanation:
Order the number \pi ,3, and \sqrt(11 )from least to greatest
Firstly, let's write these out to help us see:
[tex]\pi[/tex] = 3.1415
3
[tex]\sqrt{11}[/tex] = 3.3166
We can see that [tex]\sqrt{11}[/tex] is 0.3166 greater than 3, and 0.1751 greater than pi. Therefore, it's the biggest number.
Pi is second biggest because it is less than [tex]\sqrt{11}[/tex] but greater than 3.
Therefore, your order would be:
3, [tex]\pi[/tex], [tex]\sqrt{11}[/tex]
Hope this helps! :)
can you help me with number nine it says find the slope of the line that passes through each pair of points
How to find slope?
Slope is represented as mIf two point are
(x_1,y1)(x2,y2)Slope is given by
[tex]\\ \sf\longmapsto Slope=m=\tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
HELP PLEASE
Which lines are perpendicular to the line y – 1 =1/3(x+2)
y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – Five-thirds
y = One-thirdx – 2
3x + y = 7
Answer:
Answer should be a.
Step-by-step explanation:
a circle’s radius is increased by 8%. Find the increase in the circle’s area.
Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
The missing statements and their reason are shown below.
What is angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
1. m∠LOM = m∠JKI and m∠MON = m∠IKH
Reason : Given
2. m∠LOM + m∠MON = m∠JKI +m∠MON
Reason :equals are added to another remains equal.
3. m∠LOM + m∠MON = m∠JKI +m∠JKH
Reason :m∠MON = m∠IKH.
4. m∠LOM + m∠MON = m∠LON
m∠JKI +m∠JKH = m∠HKJ
Reason: parts are equal to whole.
5. m∠LON = m∠HKJ
Reason: from point 3 and 4
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solve the inequality. -8c - 9 < -17
Answer:
it would be c >1
i hope this helps
Answer:
everbody help this guy
Step-by-step explanation:
Pls Help
Can i make -14/21 into a whole number?
Answer:
no
Step-by-step explanation:
Does the order we apply a
sequence of transformations
matter?
Solve the inequality for x. Show each step of the solution.
4x-6(x+1)>12
If the radius of one circle is 4cm and the diameter of another circle is 12cm, what is the ratio
of circumferences for the small circle to the bigger circle?
Answer:
2 cm/3 cm
Step-by-step explanation:
Diameter of smaller circle = 8cm
Diameter of bigger circle = 12 cm
8cm/12cm = 2/3
A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?
Answer:
$945.00
Step-by-step explanation:
Use (189*4)+189 or 189*5 to solve:
189*4= 756
759+189= 945
189*5= 945
Hope this helps!
Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the shirt?
Answer:
100% - 15 % = 85 %
So, $21.08 represents the 85% sale price
What number represents the other 15% of the original price?
(21.08 x 15) / 85 = 3. 72
$21.08 + $3.72 = $24.80 which is the original price.
Step-by-step explanation:
Selena has been hired as a sales associate at Better Rooms furniture store. She has two salary options. She can choose to receive either a fixed salary of $850 per week or a salary of $400 per week plus a 6% commission of her weekly sales. Which solution set below represents the dollar amount of sales that she must generate each week in order for the option with commission to be the better choice? Let s represent the sales for the week
Answer:
Sales have to be more than $7,500.
Step-by-step explanation:
850 > 400 + 0.06s
850 - 400 < 0.06s
450/0.06 < s
7500 < s
Please explain why if you no the answer
Answer:
No, she isn't
Step-by-step explanation:
(-2)² is basically -2 x -2, which we know is 4.
-2² is slightly different. In this case, you don't consider it as the square of -2, but you do the square ignoring the negative sign, and then add it at the end.
So think about it like this,
We do 2² first, and then add the minus, so it becomes -4 instead of positive 4. Does that make sense?
Answer: Incorrect
Step-by-step explanation:
Rule :
[tex](-10)^2=| -10|^2 =100 \\\\ -10^2=-(10)^2=-|10|^2=100[/tex]
Then :
[tex]\rm -2^2=-|2|^2=-4 \\\\ (-2)^2= |-2|^2=4 \\\\ Then : \\\\ -2^2 =(-2)^2 \\\\ -4 \neq 4[/tex]
Which value in scientific notation is the best estimate for 0.0000058102?
A.
5 × 10-5
B.
6 × 10-5
C.
5 × 10-6
D.
6 × 10-6
Answer:
option C 5×10-6 is right answer
Answer:
[tex]c \: ) \: 5 \times 10 - 6[/tex]
c is the answer
