Answer:
The quadrilateral ABCD is a square.
Step-by-step explanation:
According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:
Sides
[tex]AB = 4\cdot (7) -2[/tex]
[tex]AB = 26[/tex]
[tex]BC = 2\cdot (7) +12[/tex]
[tex]BC = 26[/tex]
[tex]DC = 3\cdot (7) +5[/tex]
[tex]DC = 26[/tex]
[tex]AD = 6\cdot (7) -16[/tex]
[tex]AD = 26[/tex]
Diagonals
[tex]AC = 4\cdot (7) +12[/tex]
[tex]AC = 40[/tex]
[tex]DB = 8\cdot (7) - 10[/tex]
[tex]DB = 40[/tex]
This information indicates that this quadrilateral is a square because of these characteristics:
1) All sides have the same length.
2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].
Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2,-2).
A)
B)
y=-x-1
y - 2x + 1
D)
y = -2x + 1
Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.
Substituting into point-slope form,
[tex]y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}[/tex]
Dorothy opens a savings account with $80 that earns 8.5% interest
per year, not compounded.
How much money, to the nearest penny, will Dorothy have in 1 year?
Give your answer in dollars.
Answer:
$86.8
Step-by-step explanation:
Given that,
Principal, P = $80
Rate of interest, R = 8.5%
We need to find the money he will have in 1 year. As the interest is not compounded, it must be simple interest. The simple interest can be calculated by the formula,
[tex]I=\dfrac{PRT}{100}\\\\I=\dfrac{80\times 8.5\times 1}{100}\\\\=\$ 6.8[/tex]
We know that,
Amount = Principal + interest
= $80 + $6.8
= $86.8
Hence, the amount will become $86.8.
There are 15 balls in an urn. 5 red balls, 5 blue balls and 5 white balls. Three balls are taken simultaneously. Let X represent the number of Blue balls. Please Help (Random Variable)
Answer:
X = 33.3 percent
Step-by-step explanation:
A student paid 256.37 Ghana cedis in school fees. how much has he paid to the nearest hundred?
Answer:
256.4
Step-by-step explanation:
Members of a community garden grow 500 vegetable plant
sprouts. They donate 10% of the sprouts to a school. They
sell 20% of the remaining sprouts to a local park. They plant
5% of those left in a greenhouse. Then they plant the rest of
the sprouts outside. How many sprouts do the members
plant outside? Show your work.
Answer:
342 sprouts are planted outside.
Step-by-step explanation:
500 sprouts
500*0.10=50
500-50=450
450*0.20=90
450-90=360
360*0.05=18
360-18=342
HELP MEEEEEEE PLEASE
Answer:
C
Step-by-step explanation:
no of rulers each student gets,=,no of rulers ÷ no of students
........=83÷s OR
83/s
F/2 + 9 =4
-9 -9
F/2=
Answer:
your wrong lol im sry btw this is a alt XDDD
Step-by-step explanation:
Will give brainliest answer
Answer:
p(4)=7
p(-9)=-9
this solution is correct
Find the product. Write your answer in decimal form. Three-tenths × 1.71 =
Answer:
0.3x1.71=0.513
Answer:
0.513 is the 100% correct answer for this question. Hope this helps! :)
Step-by-step explanation:
If g(x) = 3^Vx-123, find g( - 2).
Answer:
g(-2) = -5
Step-by-step explanation:
We are given the following function:
[tex]g(x) = \sqrt[3]{x - 123}[/tex]
Find g( - 2).
This means that we find g when [tex]x = -2[/tex]. So
[tex]g(-2) = \sqrt[3]{-2 - 123} = \sqrt[3]{-125} = \sqrt[3]{-5^3} = -5[/tex]
So
g(-2) = -5
Which of these equations are in slope-intercept form?
y-y1=m(x-x1)
y=mx+b
m=y2-y1/x2-x1
ax+by=c
Answer:
y = mx + b
Step-by-step explanation:
Fond the value of x.
Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.
Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. The regression results produced the following adjusted R2 values: Model 1: 0.8874 and Model 2: 0.6028. Which model is more suitable of a prediction?
Answer:
Model 1
Step-by-step explanation:
The model with higher adjustable R2 values is more suitable for the prediction showing the relationship between shelf space and sales. This is simply because the Higher the value, the more accurate its result will be as regards the prediction
What type of polynomial is 14x2 + 3x – 15?
Answer:
Step-by-step explanation:
There are three terms. So, 14x² + 3x -15 is a trinomial
Automobile repair costs continue to rise with and average cost now at $367 per repair. Assume that the cost for an automobile repair has a standard deviation of $88.
Quarterback Joe Tarkenton can throw a football downfield at a speed of 60 feet per second. When releasing the ball, his arm is 6 feet above ground. The height of the ball after seconds is given by the function: h(t)=−16^2+60+6.
What is the maximum height of the football?
If the ball is not caught, how many seconds will it take to reach the ground after being thrown?
A: maximum height=3.58 feet; time=62.25 seconds
B: maximum height=62.52 feet; time=3.58 seconds
C: maximum height=62.25 feet; time=3.85 seconds
D: maximum height=3.85 feet; time=62.52 seconds
Answer:
C: maximum height=62.25 feet; time=3.85 seconds
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the ball, after t seconds, is given by the following equation:
[tex]h(t) = -16t^2 + 60t + 6[/tex]
Which is a quadratic equation with [tex]a = -16, b = 60, c = 6[/tex]
Maximum height:
Since a < 0, we can find the maximum value of the function. We have that:
[tex]\Delta = 60^{2} - 4(-16)(6) = 3984[/tex]
[tex]y_{v} = -\frac{3984}{4(-16)} = 62.25[/tex]
The maximum height is of 62.25 feet.
Seconds to reach the ground:
[tex]x_{1} = \frac{-60 + \sqrt{3984}}{2*(-16)} = -0.1[/tex]
[tex]x_{2} = \frac{-60 - \sqrt{3984}}{2*(-16)} = 3.85[/tex]
Since time is a positive measure, 3.85 seconds.
The correct answer is given by option C.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter
Answer:
the answer woiuld be 60
Step-by-step explanation:
supplementary angles are 180
180-120=60
x=60
In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.
Which equation can be used to find the nth term of the sequence, an?
A = an=4n+9
B = an=7n−4
C = an=4n−7
D = an=9n+4
Answer:
The answer is C i.e an=4n-7
Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
Answer:
$753.34
Step-by-step explanation:
The speed s in m/s of an athlete can be modeled by the
function
s = 9.8 – 9.8e-0.88t
where t is the time (in seconds) after the
athlete starts running. Graph this model and use the graph to
estimate the speed of the athlete 2 seconds after his launch.
Round your answer to the nearest whole m/s.
speed m/s
Answer:
Step-by-step explanation: The equation is s = 9.8 – 9.8e-0.88t and we need to find the speed if t or time = 2 so to solve this equation algebraically you would;
[tex]s = 9.8-9.8e-0.88(2)[/tex]
[tex]s = 9.8-9.8e-1.76[/tex]
[tex]s = 8.04-9.8e[/tex]
and after graphing it you would get
[tex]-18.5991619189[/tex]
which after rounding and using absolute value would be
[tex]s=18.6[/tex]
I need help please. aaaaaannnnnnnnndddddddddd thannkyou
Answer:
7:58
Step-by-step explanation:
The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.
I have 6 congruent faces.
Answer: The best choice from the provided options is the "Cube".
Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.
Math..
from the four letters L,O,V,E, choose one letter if order is not important
1 point
3. The dot plot shows the number of hours the students in Mrs. Ferro's
class volunteer each month. Which of the following statements is not
correct?
MRS. FERRO'S CLASS
+
11
+
12
4 5 6 7
10
8 9
HOURS
A. There are a total of 17 students in Mrs. Ferro's class.
B. Exactly 7 students volunteered for less than 7 hours.
C. Less than half of the students volunteer for 9 hours or more.
D. The range is data was 5 hours.
Answer:
B
Step-by-step explanation:
its not A cause theres 17 kids
its not D
its not c cause less than half of the students volunteer for 9 hours or more
the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6
Find the conjugate and product of
i2 + 9
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
NEED HELP FAST‼️‼️
What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
O: The height of the water increases 2 inches per minute.
O: The height of the water decreases 2 inches per minute.
O: The height of the water was 2 inches before any water was added.
O: The height of the water will be 2 inches when the pool is filled
Answer:
answer is a
the height of the water increases 2 inches per minute
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...
n=20
Answer:
142
Step-by-step explanation:
hope this help love y all!