Answer:
10.67% increase
Step-by-step explanation:
We can find percent increase with (difference/original) x 100
7.47 - 6.75
= 0.72 (difference)
(0.72/6.75) x 100
= 10.67% increase
Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*
Answer:
k = -3
k =5
Step-by-step explanation:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]
[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]
[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]
A = (-1, 1) and B = (2, k) so:
[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]
[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]
Name the ray that is opposite AD?
Answer:
I think it's AB
Step-by-step explanation:
Since its the opposite of AD
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 8, point 3, 4, point 4, 2, and point 5, 1. an = 8(one half)n − 2; average rate of change is −6 an = 10(one half)n − 2; average rate of change is 6 an = 8(one half)n − 2; average rate of change is 6 an = 10(one half)n − 2; average rate of change is −6
Answer:
2
Step-by-step explanation:
Answer:
An= 8 x (1/2)^(n-2) and the average rate of change is 6
Step-by-step explanation:
In a statistics class the following 10 scores were randomly selected:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66.
What is the mode?
a. 77.0.
b. 68.0.
c. 72.0.
d. 66.0.
Answer:
A. 77
Step-by-step explanation:
The mode of a data set is the value that appears the most number of times.
Here, we see that all the values appear once, except for 77, which appears twice:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66
Thus, the answer is A, 77.
~ an aesthetics lover
Answer:
The answer is A.
Step-by-step explanation:
Mode is the value that occurs most frequently in a group.
So in this group, 77 appears the most.
Is 32.5 greater or less than 30.8
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
32.5 is greater than 30.8
Answer: greater than
Step-by-step explanation:
32.5 is greater than 30.8
32.5-30.8=1.7
The difference is positive, which means 32.5 is greater than 30.8
EXTRA: 32.5 is 1.7 more than 30.8
Hope this helps!! :)
Please let me know it you have any question
Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form. (-4.5, 9.5), (-1, 2.5)
Answer:
-2x is the slope, the full equation is y=-2x+.5.
Step-by-step explanation:
y=-2x+.5
Answer: The slope is -2.
Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.
Write the decimal as a fraction in simplest form. 0.008
Answer:
1 / 125
Step-by-step explanation:
Since there are 3 digits after the decimal point, we know that our denominator will be 10³ = 1000. Since the only non-zero digit after the decimal point is 8, we know that the numerator is 8. Therefore, the answer is 8 / 1000 = 1 / 125.
a triangle with a base of 9 meters has an altitude of 12 meters.which would give the area of the triangle
Answer:
54 [tex]m^2[/tex]
Step-by-step explanation:
To find the area of a triangle use the formula a = 1/2bh
The altitude is the same as height so we can substitute 12 for h and 9 for b
Now the equation will become
a = 1/2 · 9 · 12
When you multiply it, it become 108/2 = a simplified to a = 54
(h) Suppose we sample a new city whose particulate is 13 ppm. If reasonable, create a 95% interval for the predicted rate of childhood asthma in this city. If not reasonable, explain why.
Answer:
Explanation below
Step-by-step explanation:
First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.
This city's particulate is 13 ppm.
The answer is "not reasonable".
Why?
This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 32 ∘ . From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 34 ∘ . How high (in feet) is the mountain?
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
Match the expression with its name. 7x4 – 5x + 4
Answer:
4th-degree trinomial
Step-by-step explanation:
The question is missing it's root sign; it should be 7x^4-5x+4
1) Check whether the value given in the bracket is a solution to the given equation
or not.
a) x + 7=12 ( x=5)
b) 2x-3-10 (x=7).
Answer:
yes and no
Step-by-step explanation:
Substitute the given values for x into the equationand if the value obtained is equal to the right side then it is a solution.
(a)
x + 7 = 5 + 7 = 12 ← True , thus x = 5 is a solution
(b)
2x - 3 = 2(7) - 3 = 14 - 3 = 11 ≠ 10, thus x = 7 is not a solution
If an angle’s measure is 90° then it is said to be a ______angle?
Answer:
Right Angle
Step-by-step explanation:
Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.
Answer:
[tex]\boxed{\bold{\huge{\boxed{Right}}}}[/tex]
Step-by-step explanation:
If an angle’s measure is 90° then it is said to be a Right angle.
how to graph slope 7/3 and y-intercept (x,y) (0,-11)
Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line
find the area of the triangle given a = 24, b=40, and C= 55°. Round your answer to the nearest tenth.
Answer: 393.2 units²
Step-by-step explanation:
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
[tex]A=\dfrac{1}{2}ab \sin C[/tex]
Given: a = 24, b = 40, C = 55°
[tex]A=\dfrac{1}{2}(24)(40) \sin 55^o\\\\.\quad =480\sin 55^o\\\\.\quad =393.2[/tex]
Answer:
[tex]\huge \boxed{\mathrm{393.2 \ units^2 }}[/tex]
Step-by-step explanation:
We can solve for the area of the triangle when two sides are given and the angle in between the two sides.
[tex]\displaystyle A=\mathrm{\frac{1}{2}ab \cdot sinC }[/tex]
[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 24 \cdot 40 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{480 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{393.19298125...}[/tex]
The area of the triangle is 393.2 units².
Simplify the equation -4d - 37 = 7d + 18
Answer:
d=-5
Step-by-step explanation:
-4d-37=7d +18
move the terms to its correct side
-4d-7d=18+37
calculate the like terms together.
-11d=55
divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5
Please help me with the question below
Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
The product of two positive rational numbers is greater than either factor.is sometimes true
Answer:
It is sometimes true
Step-by-step explanation:
Fractions are positive rational numbers, and 2*1/2 is 1, which is less than 2. Here's a picture that might help.
Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something other
than 90°? In this situation, what is the relationship between
AB
and CD ? Explain.
Answer:
if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee
work?
Answer:
90 hours
Step-by-step explanation:
67 + 6 + 9 + 8 = 90 hours
Convert 10/9into a mixed number
Answer: 1 1/9.
Step-by-step explanation: Divide the numerator by the denominator. Write the whole number answer. Make a fraction from the remainder and the original denominator. To get back to an improper fractions, add the whole number to the numerator.
Classify the polygon. Then determine whether it appears to be regular or not regular. heptagon; regular octagon; regular nonagon; not regular octagon; not regular
Explanation:
There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.
This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.
In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.
Divide the following numbers. 4,084 / 1,016
The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370
mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?
Answer:
B
Step-by-step explanation:
Because 9 = 5 +4
Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a
reflection. What information does Jada need to provide to communicate the transformations she has used to get from the first figure to
the last?
Answer:
The answer is below
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, translation, reflection and dilation.
When the polygon is translated and reflected, for the translation, Jada needs to provide the distance and direction of the vertical movement (up or down) and the distance and direction of the horizontal movement (left or right) ehile for the reflection, Jada needs to provide the line of reflection so as to know which transformation is applied.
Answer:
the original figure before a transformation has been performed.
Step-by-step explanation:
plz pick me brainliest
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate?
Monthly Temperatures:
a. 61(degrees)F,
b. 66(degrees)F,
c. 71(degrees)F,
d. 76(degrees)F,
e. 81 (degrees)F
Answer:
Interval Data
Step-by-step explanation:
Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.
The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.
Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x2+y2+z2≤34 cut off by the plane z=5 and restricted to the first octant. (In your integral, use theta, rho, and phi for θ, rho and ϕ, as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a= , b= , c= , d= , e= , and f= , Volume = ∫ba∫dc∫fe
Answer:
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
Step-by-step explanation:
Equation of the solid sphere = x^2 + y^2 + z^2 ≤ 34 ------- (1)
at Z = 5
since the bottom of the sphere(z) is flat = 5 we will use cylindrical coordinates
concentrating in the first octant as mentioned in the question
at Z = 5 , equation 1 becomes :
x^2 + y^2 + 25 ≤ 34 = x^2 + y^2 = 9
hence the radius around the xy axis = [tex]\sqrt{9}[/tex] = 3
that means the radius is : 0 ≤ r ≤ 4 , 0 ≤ ∅ ≤ [tex]\frac{\pi }{4}[/tex]
next we have to find the upper bound of: Z = ±[tex]\sqrt{34-r^2}[/tex] we will pick out only the positive
5 ≤ z ≤ [tex]\sqrt{34 - r^2}[/tex]
therefore for the Volume = ∫ba∫dc∫fe
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
And angle measures 58 degrees what is the measurement of a supplements
Answer:
122 degrees
Step-by-step explanation:
180-58=122
The nonnegative function given below is a probability density function.
{3/7 e^−3t/7 if t ≥ 0
0 if t < 0
(a) Find P(0 ≤ t ≤ 2).
(b) Find E(t).
Answer:
a) 0.5756
b) 2.3333
Step-by-step explanation:
A) for p ( 0 ≤ t ≤ 2)
= 1 - [tex]e^\frac{6}{7}[/tex] = 0.5756
B) for E(t)
= 7/3 = 2.3333
attached below is the remaining part of the solution
14. Can you devise a plan for finding the domain and the range of the relation shown in the graph? Explain.
Answer:
yes
Step-by-step explanation:
The domain is the set of x-coordinates of the points. The range is the set of y-coordinates of the points.
The plan would be to read and list the x-coordinates and the y-coordinates and use those lists as the answer to the question of domain and range, respectively.