Answer:
The linear distance between the two points is the square root of the sum of the squared values of the x-axis distance and the y-axis distance. To carry on the example: the distance between (3,2) and (7,8) is sqrt (52), or approximately 7.21 units.
Step-by-step explanation:
Answer:
Step-by-step explanation:
distance formula and pythagorean formula
Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the account after all these transactions?
Please help me!! I'll give brainliest btw
Answer:
e. cannot be determined
Step-by-step explanation:
m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5
n = 1/2(x² + x + 10) =
m/n = (x+5)/(1/2(x² + x + 10))
Not enough information
What is the tangent ratio of KJL? (Question and answers provided in picture.)
Answer:
Option (1)
Step-by-step explanation:
The given triangle JKL is an equilateral triangle.
Therefore, all three sides of this triangle will be equal in measure.
Side JK = JL = KL = 48 units
Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.
By applying tangent rule in ΔJML,
tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{LM}}{\text{JM}}[/tex]
= [tex]\frac{\text{LM}}{24}[/tex]
Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]
LM = 24√3
Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]
= [tex]\frac{24\sqrt{3} }{24}[/tex]
Therefore, Option (1) will be the answer.
find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}
Answer:
The lower quartile is 23.4
Step-by-step explanation:
The given data are;
47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4
Rearranging the data, we have;
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term
However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile
The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.
The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)
The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)
a. Highest 10 percent
b. Middle 50 percent
Answer:
the weight that corresponds to Highest 10% = 337.8
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
Step-by-step explanation:
From the information provided for us:
we have the mean = 325
the standard deviation = 10
The objective is to find the weight that corresponds to each event i.e for event (a) , highest 10%
So;
The probability of P (Z > z) = 10%
Same as:
0.1 = 1 - P( Z < z)
P( Z < z) = 1 - 0.1
P( Z < z) = 0.9
From the standard normal tables for z;
P( Z < 1.28) = 0.9
z = 1.28
Similarly. from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = (1.28 × 10) + 325
X = 12.8 + 325
X = 337.8
Therefore, the weight that corresponds to Highest 10% = 337.8
b. the weight that corresponds to Middle 50 % can be computed as follows:
the region of z values at 0.50 lies between -0.674 and +0.674
from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = -0.674 × 10 + 325 and X = 0.674 × 10 + 325
X = - 6.74 + 325 and X = 6.74 + 325
X = 318.26 and X = 331.74
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
Please help,thanks!(:
Answer:
<4=<2
x+30=2x+15
x=15
therefore <4=(15)+30
=45°
ASAP PLZ ANSWER 50 POINTS How do I determine if -3x+y =8 is a function?
Answer:
To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).
Step-by-step explanation:
Answer:
graph
Step-by-step explanation:
did you mean in graph
2 = 3 − q what does 9 equal
Step-by-step explanation:
2 = 3 - q
1 = (3 - q)×1/2
9 =(3 - q) ×1/2×9
9 = 27 - Q/2
Answer:
Step-by-step explanation
Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D
Answer: D
Step-by-step explanation:
If segment D moves downward it means its function has a negative slope so the line will be decreasing.
Answer:
D
Step-by-step explanation:
Obviously just because the slope is going down hence decreasing. \
Hope this helps! :)
What is the set of x-intercepts of this graphed function ? A.{-3,-1} B. {-3,-1,3} C. {-3,3} D.{-3}
Answer:
second option
Step-by-step explanation:
The x- intercepts are the values on the x- axis where the graph crosses.
These are
x = - 3, x = - 1 and x = 3
Complete the equation of the line through (-8, 8) and (1, -10).
Use exact numbers.
y =
Answer:
y = -2x - 8
Step-by-step explanation:
Find the slope using rise/run (y2 - y1) / (x2 - x1)
(-10 - 8) / (1 + 8)
-18/9
= -2
Next, plug in the slope and a point into the equation to find b:
y = mx + b
-10 = -2(1) + b
-10 = -2 + b
-8 = b
Now, plug this and the slope into the equation:
y = -2x - 8
If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the function f+g is ______
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
For function f:
x - 7 ≤ 0 and x ≥ 0
For function g:
x + 2 ≥ 0 and x - 5 ≤ 0
The sum of the f + g:
x - 7 + x - 5 ≤ 0
2x - 12 ≤ 0
2x ≤ 12
∴ x ≤ 6
Also, x + 2 ≥ 0
x ≥ -2
Hence, -2 ≤ x ≤ 6
I don’t really understand this
Answer
pretty sure its a or c, sorry I cant be more specific
Step-by-step explanation:
Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get
Answer:
3x(x+8)=0
x=0,-8
This is how to solve for x.
Please answer this question now
Hello!
Answer:
[tex]\huge\boxed{V = 60 m^{3}}[/tex]
Formula for the volume of a triangular pyramid:
V = 1/3(bh)
The base is a triangle, so b = 1/2(b · h)
Solve for the base:
b = 1/2(8 · 5)
b = 1/2(40)
b = 20 m²
Solve for the volume:
V = 1/3(20 · 9)
V = 1/3(180)
V = 60 m³.
Hope this helped you!
Answer:
60 cubic meters
Step-by-step explanation:
I used the formula V = 1/3 AH to figure it out
9x) = 27^y and X-Y = -3/2
find the value of y
Answer:
− y ln (27) + ln (9x) = 0
what is happening to this graph when the x vaules -1 and 1
Answer:
c.
Step-by-step explanation:
Answer:
Hey there!
The graph is decreasing when the x values are between -1 and 1.
Let me know if this helps :)
PLEASE HELP ASAP!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
[tex] IJ = 2(KL) [/tex]
Step-by-step explanation:
From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.
Therefore, line IJ would be twice the length of KL.
The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]
Someone please help! Thank you
Answer:
Hey there!
We can write a equations here:
3x+y=180
Also, since all of the angles have 3x on the outside, then y must be constant.
3y=180
y=60
Thus, for x, we have 3x+60=180, 3x=120, x=40.
2x+6y
2(40)+6(60)
80+360
440.
Let me know if this helps :)
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage.
Answer:
C. Quadratic model
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Given:
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left with time= 1000 - 10×t
Where;
t = Time in minutes
Value of the corn = Amount of corn left × Price of corn
Value of the corn = (1000 - 10×t) × (5 + 0.15×t)
=(1000-10t) × (5+0.15t)
=5,000 + 150t - 50t - 1.5t²
= -1.5t² +100t + 5000
Value of the corn= -1.5t² +100t + 5000.
It is a quadratic model
4x+5 ≤ 2x-3 is equivalent to
Answer:
x ≥ -4
Step-by-step explanation:
4x+5 ≤ 2x-3
Collect like terms
4x-2x ≤ -3-5
Simplify
2x ≤ -8
Divide both sides by 2
2x / 2 ≤ -8 / 2
x ≥ -4
Still can’t get the answer
Answer:
Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.
Step-by-step explanation:
We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.
Looking at the whole numbers, [tex]2+3=5[/tex].
Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].
So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.
If she wants to get to 10, we need to find how many more yards we need.
Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.
[tex]10-6=4[/tex], so in total we added
[tex]4 \frac{1}{3}[/tex] more yards.
So she needs [tex]4 \frac{1}{3}[/tex] more yards.
Hope this helped!
Find the value of x. Round to the nearest degree.
60
33
57
29
Answer:
33
Step-by-step explanation:
that is pretty close to a 45 degree angle so i would say about 33
Answer:
33
Step-by-step explanation:
First find the missing side...
11^2 + a^2 = 20^2
121 + a^2 = 400
400 - 121 = a^2
a^2 = 279
a = 16.7
A = 16.7, B = 11, C = 20
20 - 16.7 = 3.3
Estimate
3 x 11 = 33
Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?
Answer:
35:40 = 7:8 is the equivalent ratio.
Step-by-step explanation:
35 / 5 = 7
40 / 5 = 8
=
7:8
Answer:
the equivalent ratio is 35:40 = 7:8
Step-by-step explanation:
35 divided by 5= 7
40 divided by 5= 8
=7:8
Hii, can you help me ?
Answer:
The answer is about 15 cm because if you use a ruler, it is a little under 15cm
Step-by-step explanation:
Answer:
15cm
Step-by-step explanation:
most pens are under 15 cm by a a couple of millimeters. 15 cm is in fact the best estimate. It really depends on the pen your using but the average pen is about 15 cm.
Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15
Answer:
B
Step-by-step explanation:
The common ratio r exists between consecutive terms in the sequence, that is
r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5
Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of many of the other angles shown in the circle. Enter the measure of ∠ADB.
The measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
Measure of angle ADBGiven:
∠CAD=58°
Hence:
∠BAD=180°-58°
∠BAD=122°
Since ∠ABD is isosceles, thus:
∠ADB-∠ABD
180°-122°=58°
2∠ADB=58°/2
∠ADB=29°
Therefore the measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
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Solve for x. 3x-91>-87 AND 17x-16>18
Answer & Step-by-step explanation:
For this problem, we have two inequalities to solve for x.
3x - 91 > -87
17x - 16 > 18
Now that we know what our inequalities are, we will solve them as if we are solving for the value of x.
3x - 91 > -87
Add 91 on both sides.
3x > 4
The solution for the first inequality is 3x > 4
Now let's do the second inequality.
17x - 16 > 18
Add 16 on both sides.
17x > 34
Divide by 17 on both sides.
x > 2
The soultion for the second inequality is x > 2
Answer:
The answer is x>2
Step-by-step explanation:
Does anyone know this
Answer:
Hey there!
The domain of the graph would be [tex]-2\leq x<9[/tex].
Let me know if this helps :)
Answer:
-2 to 9
Step-by-step explanation:
The domain of a graph consists of all the input values shown on the x-axis
Which property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)?
Answer:
Distributive property
Step-by-step explanation:
6x – 3x + 9y + 4 + 11 =
First, we combine like terms.
= 3x + 9y + 15
Now we use the distributive property to factor out a common factor.
= 3(x + 3y + 5)
The property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is Distributive property
What is Distributive property
To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.
The distributive property states that for any real numbers a, b, and c:
a(b + c) = ab + ac
6x – 3x + 9y + 4 + 11 =
First, we combine like terms.
= 3x + 9y + 15
Now we use the distributive property to factor out a common factor.
= 3(x + 3y + 5)
Read more about Distributive property here:
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