Answer:
width=11/2
length=8
Step-by-step explanation:
44=(2w-3) x w area for a rectangle (44) = the length (2w-3) times the width (w)
44=2w^2 - 3w distribute
2w^2-3w-44 = 0 subtract 44 from both sides
(w+4)(2w-11) factor
width=11/2
(11/2 x 2) - 3
length = 8
the density of some steel is7.98gm/cc.how much does 60cc weigh?
Substituting into the formula d=m/v,
[tex]7.98=\frac{m}{60}\\\\m=\boxed{478.8 \text{ gm}}[/tex]
Find the 7th term in the
sequence
-, -1, -5, -25, . . .
Hint: Write a formula to help you.
1st term. Common Ratio (desired term - 1)
Enter
Answer: -15625
Step-by-step explanation:
The explicit formula for the sequence is
[tex]a_{n}=-1(5)^{n-1}\\\\\implies a_{7}=-1(5)^{7-1}=\boxed{-15625}[/tex]
Find the domain and range of the following graph
Write your answer as an interval.
Answer:
Domain: [1, infinity)
Range: All real numbers or (- infinity, + infinity)
Step-by-step explanation:
Hope this helps
Help asap !………………………
Answer:
c
Step-by-step explanation:
dvdywuwhfuwi eurue wuid
Suppose f(x)=x²+4 and g(x)=2x+1.
Find the value of f(-2)g(-2).
Answer: -24
Step-by-step explanation:
I am assuming you want the value of (f × g)(-2)
[tex]f(-2)=(-2)^2+4\\f(-2) = 4+4\\f(-2)=8[/tex]
[tex]g(-2)=2(-2)+1\\g(-2)=-4+1\\g(-2)=-3[/tex]
8 × -3 = -24
A medication states that the odds of having an allergic reaction are 2 in 200. What is that probability states as a percent?
2.
Julia grows flowers in a garden that is the shape of a rectangle. The side lengths of
the garden are shown in the diagram.
5½⁄2 feet
3 feet
Which of these is equal to the area of the garden? Select all that apply.
A. 8
square feet
1
B.
5
feet x 3 feet
2
C.
151/11
square feet
D. 16
16¹ square feet
E. 5 feet +
11/12
F. (5 feet x 3 feet) +
foot + 3 feet
for
foot
The area of the rectangular garden given the length and width is 16 1/2 square feet
Area of the gardenLength = 5 1/2 feetWidth = 3 feetArea of a rectangular garden = length × width
= 5 1/2 feet × 3 feet
= 11/2 × 3
= 33/2
= 16 1/2 square feet
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Can you please help meee
Answer: y = 4x + 5/4
Step-by-step explanation: Plug in the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept, and such that m, b ≠ 0.
Hey I need help with statistics
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.
We have a quadrilateral shown in the picture.
The diagonal divides the quadrilateral into two triangles
The area of the quadrilateral = area of the triangle ADC + area of the
triangle ADB
= (1/2)3.42×4.39 + (1/2)5.44×3.42
= 7.5069 + 9.3024
= 16.80 square units
Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
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Which graph represents the function
there are 2 more graphs but it won't add it
Answer:
[tex]f(x) = 9x^2+9x - 18/3x + 6\\= 9(x^2 + x - 2)/3(x+2)\\= 3(x^2+x-2)/x+2\\= 3(x+2)(x-1)/x+2\\= 3x - 3[/tex]
so y = 3x - 3
since 3x + 6 is on the bottom,
[tex]3x + 6\neq 0\\3x\neq -6\\x\neq -2[/tex]
so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)
From this diagram, select the
pair of lines that must be
parallel if 24 = 23. If there
is no pair of lines, select
"none."
O is parallel to q
let's take the angle opposite to angle 4 is alpha
angle 4 = angle alpha ( vertically opposite angles)
angle alpha = angle 3 ( as angle 4 = angle 3).
hence o is parallel to q as both the angles are equal
5 ice creams cost 6.50 pounds. How much do 11 ice creams cost
Answer:
14.30
Step-by-step explanation:
6.50/5=1.3
so one ice cream is 1.30 pounds
1.30X11=14.3
so 11 ice creams is 14.30 pounds
please help me asap :)
Answer:
They are not similar because corresponding sides are not proportional.
ExplainationCondition for similarity of two triangles -
The ratio of corresponding sides should be equal.
Condition for congruence of two triangle -
Any of the following -
Side side side
side angle side
angle angle
angle side angle
Find the parametric equation of the line that passes through P(1, 0, −3) and is parallel to the line with parametric equations x = −1 + 2t , y = 2−t, and z = 3+3t.
Which is the equation for y?
Answer:
y = -t
Step-by-step explanation:
Parametric Equation = Type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable.
⇒ parametric equation of line passing through a point (a₁, b₁, c₁)
and parallel to a vector <a, b, c> is given by :
x =a₁ + at , y = b₁ + bt , z = c₁ + ct
now according to question:
given -
point, P(1, 0, -3)
line, x = −1 + 2t , y = 2−t, and z = 3+3t.
so from the line the vector is= <2, -1, 3>
now using above formula,
equation of line is = x = 1 + 2t , y = −t, and z = -3+3t.
we have to solve for 'y' only,
⇒ y = -t (answer)
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urgent algebra 2 help please
Answer:
y = 4x - 5
Step-by-step explanation:
y = mx + b
By putting above values in equation (i)
-1 = 4 (1) + b
-1 = 4 + b
-5 = b
b = -5
y = 4x - 5
i need help please very fast thanks
Urgent
find the values of x and y 8x+5y=-5 7x-3y=3
Answer:
x= 0, y= -1
Step-by-step explanation:
To obtain the values of x and y from a system of equations, start by labelling the given equations.
8x +5y= -5 -----(1)
7x -3y= 3 -----(2)
Let's solve by elimination.
Here, I will be working to eliminate the y term. This is done by ensuring both equations have the same numerical value in the coefficient of y.
(1) ×3:
24x +15y= -15 -----(3)
(2) ×5:
35x -15y= 15 -----(4)
Add the two equations together since the coefficient of y has opposite signs.
(3) +(4):
24x +15y +35x -15y= -15 +15
59x= 0
Divide both sides by 59:
x= 0
Now, substitute the value of x into any equations to find the value of y.
Substitute x= 0 into (1):
8(0) +5y= -5
5y= -5
Divide both sides by 5:
y= -5 ÷5
y= -1
Additional:
For similar questions on system of equations, do check out the following!
https://brainly.com/question/4346392PLEASE HELP WITH THIS PROBLEM!
Answer: Options 1 and 2
Step-by-step explanation:
To model exponential decay, the base of the exponential has to be less than 1.
Model exponential decay equation are
y = 0.34(0.98)^x
y = 8 (0.28)^x
Model exponential decay equation
Model exponential decay equation has the base value which is less than 1.Exponential decay is the process of reducing amount by consistent percentage rate over a time period. It can be expressed by the equation y=a(1-b)x where y is the final amount, a original amount, b decay factor, and x is the amount of time that has passed.Option C and D have the base value greater than 1. So it can't be model exponential decay equation.
Hence, the model exponential decay equation are
y = 0.34(0.98)^x
y = 8 (0.28)^x
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what is next number in pattern 7, 11, 2, 18, -7
Answer:
the answer is -7+-25=-32
please help! write D u E and D n E using interval notation.
Part 1
[tex]D \cup E[/tex] denotes the union of the two sets (in other words, all the elements in both sets).
This means it is [tex](-\infty, 4) \cup [7, \infty)[/tex]
Part 2
[tex]D \cap E[/tex] denotes the elements shared between both sets.
This means the answer is [tex](4, 7][/tex]
Which expression is modeled by this arrangement of tiles?
40 positive tiles are broken up into 10 groups of 4 positive tiles.
40 divided by (negative 10)
40 divided by 10
40 divided by 40
40 divided by 40
Answer:
40 divided by 10
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
If the odds on a bet are 7:1 against, what is the probability of winning? Express your answer as a fraction.
Probability helps us to know the chances of an event occurring. The probability of winning the bet is 0.125.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the odds on a bet are 7:1, therefore, there are a total of 8 cases out of which only one case is of winning. Thus, the probability of winning the bet will be,
Probability = 1/8 = 0.125
Hence, the probability of winning the bet is 0.125.
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What is the area of triangle ABD?
a 4.5 cm 2
b 3.5 cm 2
c 7 cm 2
d 6 cm 2
Answer: [tex]4.5 \text{ cm}^{2}[/tex]
Step-by-step explanation:
[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2}(3)(3)\\\\\boxed{A=4.5 \text{ cm}^{2}}[/tex]
The area of the triangle will be equal to 4.5 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space covered by the triangle in the two-dimension is called an area of the triangle.
The area of the triangle ABD will be calculated as:-
Area = [tex]\dfrac{1}{2}[/tex] x Base x height
Area = [tex]\dfrac{1}{2}[/tex] x 3 x 3
Area = 4.5 cm.
Therefore the area of the triangle will be equal to 4.5 square centimeters.
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pls help oooooooooooo
Answer:
110
Step-by-step explanation:
Suppose lines EH and BD are parallel:
Angle <GFE and angle <ABC are supplementary so their sum is equal to 180
2x + 10 + x + 20 = 180 add like terms
3x + 30 = 180 subtract 30 from both sides
3x = 150 divide both sides by 3
x = 50
We are asked the value of <ACD
<ABD and <ACD are also supplementary so we can find the value od <ACD:
x + 20 + <ACD = 180 we know x = 50 so we can replace x with that
50 + 20 + <ACD = 180
70 + <ACD = 180 subtract 79 from both sides
<ACD = 110
Which equation describes the same line as y-5=-2(x+4)
There are 10 USB drives in a box and 3 are defective. Two drives are to be selected, one after the other. What is the probability of selecting a defective USB followed by another defective USB?
[tex]|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%[/tex]
Needa line segment has endpoints P(-8,7) and Q(6,-3). What is the midpoint of the segment?
Answer:
1/2(6-8), 1/2(-3+7)=-1,2
Answer: C - (-1, 2)
Step-by-step explanation:
A phone company offers a monthly cellular
phone plan for $25. The plan includes 250
anytime minutes, and charges $0.20 per minute
above 250 min. Write a piecewise-defined
function for C(x), the cost for using x minutes in
a month.
The function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Given that:-
A phone company offers a monthly cellular phone plan for $25. The plan includes 250 anytime minutes and charges $0.20 per minute above 250 min.The cost of the 250 minutes is $25 and if the time extends from 250 minutes then the function will be expressed in the form of.
C(x) = 25 + 0.2 (x)
Here C(x) is the total cost and the x is in minutes.
Hence the function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
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A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?
The difference is only 0.04, but that is still a significant change.
The margin of error is quite small compared to the change year over year, so it is a significant issue.
The change of 0.09 is not a lot and thus should be ignored.
The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored.
The correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C.
As the value of MOE is 0.13 degrees
It is a serious problem because the margin of error is quite narrow in comparison to the shift from year to year.
Thus, the correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.
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