Anna's weight is 115 pounds and Janet's weight is 135 pounds.
What is weight?The weight of the object is the force acting on it due to gravity in science and engineering. Weight is defined as a vector quantity in some standard textbooks, as the force of gravity acting on the object. Others define weight as just a scalar quantity, the magnitude of gravity.To find the wight of Anna and Janet:
It is assumed:
Janet is 20 pounds heavier than Anna.This means that if Anna weighs x pounds,Janet's age is then (x+20) pounds.Also,
Their combined weight is 250 pounds.So,
x+x+20 = 2502x+20=250Subtraction of both sides by 20 yields:
2x = 250-202x = 230By dividing both sides by 2, we get:
x = 115So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.
Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.
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Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Answer:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Step-by-step explanation:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?
Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
No. The sequence of transformations is an isometry because it contains only non-rigid transformations.
No. The sequence of transformations is an isometry because it contains only rigid transformations.
Answer:
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
Step-by-step explanation:
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
The rule of the transformation is given as,
(4, -4) ⇒ (1 - x, 2 - y)
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
The graph of transformation is attached below.
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Approximate 5√3 to the nearest tenth.
Write the equation of the line that passes through the points (-2,-8) and (9,8).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
y = [tex]\frac{16}{11}[/tex]x - [tex]\frac{-56}{11}[/tex]
Step-by-step explanation:
First find the slope. The slope is the change in y over the change in x
[tex]\frac{8 - (-8)}{9 - (-2)}[/tex] = [tex]\frac{8+8}{9+2}[/tex] = [tex]\frac{16}{11}[/tex]
Next, find the y-intercept. Use the slope and one of the points. It does not matter which point that you use. I will use the point (9,8)
y = mx + b
8 = [tex]\frac{16}{11}[/tex](9) + b
8 = [tex]\frac{144}{11}[/tex] + b Subtract 144/11 from both sides
[tex]\frac{-56}{11}[/tex] = b
This is my last question then I’m all set
Answer:
. .......... ok............
The measure of m/JML is 85°. Select all the true statements.
M
(6x + 2)°
K
(4x+3) °
L
A. m/JMK = 10°
B. m/KML = 11°
C. m/JMK = 50°
D. m/KML = 35°
E. m/JMK - m/KML = m/JML
Answer:
C an D are correct
Step-by-step explanation:
we add the two angles so as to find the value of x,
(6x+2)+(4x+3)=85
10x+5=85
10x=80
x=8
m/JMK=6x+2=6(8)+2=48+2=50°
m/KML=4x+3=4(8)+3=32+3=35°
so only C and D are correct
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.
We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have
∠JMK + ∠KML = ∠JML
6x + 2 + 4x + 3 = 85°
10x = 80°
x = 8°
Then the angles will be
∠JMK = 6 × 8 + 2
∠JMK = 48 + 2
∠JMK = 50°
∠KML = 4 × 8 + 3
∠KML = 32 + 3
∠KML = 35°
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.
Then the correct options are C and D.
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in need of some help! rewrite the expression -6x^4y^3z^-7 so that there are no negative exponents
Answer:
[tex]-\frac{6x^4y^3}{z^7}[/tex]
Step-by-step explanation:
[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.
[tex]=-\frac{6x^4y^3}{z^7}[/tex]
in algebra 1 how do you find 81% of 32
29
Write the answer in the blank.
What number is 260 more than 450?
Answer: 710
Step-by-step explanation:
260 + 450 = 710
Answer:
We are looking for a new number which is 260 more than 450.
We will get the new number by adding 260 to 450.
We write it down as:
450+260=710
And finally the solution for: What number is 260 more than 450?
is 710
All Done!
Can someone please help me?? :(
Answer: D (the bottom right)
Step-by-step explanation: The first problem stated is that Niki scored 20 points (positive) so you would point the arrow directed positively. Then she lost 10 points, which would be negative so the direction of the arrow would point back to a positive 10. Then lost another 25 points, leading to -15 (10+(-25)= -15
Not sure how to go about this
What is the augmented matrix solution?
Answer:
In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
Step-by-step explanation:
PLEASE HELP FAST PLEASE PLEASE
Answer:
6
Step-by-step explanation:
Because 5×12 is 60
and 1×12 is 12
Add them and you get 72 and 6
Hope this helps!
Open the file to answer the question
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
What is slope intercept form?
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Slope intercept form for a line equation is :
y = m x + b m is the slope of the line
b is the y-axis intercept ( this occurs when x = 0)
Simplify the expression.
12e +6-2e + 5
Answer:
10e + 11
Step-by-step explanation:
12e + 6 - 2e + 5 ← collect like terms
= (12e - 2e) + (6 + 5)
= 10e + 11
5 divided by 555.25
How do I solve
-1 2/3 - -5/6
Answer:
-7/6
Step-by-step explanation:
negative 5 over 6−
5
6
≈negative 0.833−0.833
solve for h pleas
A=1/2bh
h = 2A/b
An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.
Here, we are given an equation, A = 1/2bh
As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.
To do this, we keep h on one side and take all the other terms to the other side of the equation.
A = 1/2bh
Multiplying both sides by 2,
⇒ 2A = 2/2bh
2A = bh
now, dividing both sides by b,
2A/ b = bh/b
2A/b = h
h = 2A/b
Thus, the value of h is 2A/b
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help me solve this! (with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
Write down the place
Value of 7 in each of these numbers 78.924531
Answer:
the place value of 7 is =70.000000
Step-by-step explanation:
An activity on a pert network has these time estimates: optimistic = 2, most likely = 5, and pessimistic = 10. what is its expected activity time?
The expected activity time for the given statement is = 5.33
What time is the PERT network expected to be active?The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.
The PERT system:A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.
According to the given information:optimistic = 2
most likely = 5
pessimistic = 10.
We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:
Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6
Putting the values into formula:
= (2 + (4 x 5) + 10)/ 6
= (2 + 20 + 10) / 6
= 5.33
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98.3 x 104.7
use 2 methods (do on paper please!)
It should be noted that the value of 98.3 x 104.7 will be 10292.01.
How to calculate the value?It should be noted that the first method will be to multiply the values directly. This will be:
= 98.3 x 104.7
= 10292.01
The second method will be to convey them to the nearest while number and multiply. This will be
= 98.3 × 104.7
= 98 × 105
= 10290
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write each expression as a power
5^8 x 25
3^13 x 27
6^15 x 36
2^9 x 32
Answer:
6703488×1810
9
Step-by-step explanation:
what is the answer ?
Answer: 64
Step-by-step explanation:
8x=
8(8)=
8*8=64
Answer:
64
Step-by-step explanation:
To solve this equation, we have to plug 8 into x.
Plug 8 into x and multiply
8(8)
= 64
Take care and have a lovely rest of your day! :)
An isosceles triangle has a base of 14cm and sides of 50cm. calculate its height
A triangle is a 2-dimensional shape that has 3sides and 3 interior angles. The height of the isosceles triangle is approximately 49.5cm
Pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides.
From the given question, the hypotenuse is 50cm and the base of the triangle is 14cm
Determine the height using the expression
h² = 50² - (14/2)²
h² = 2500 - 7²
h² = 2500 - 49
h = √2451
h = 49.5cm
Hence the height of the triangle is approximately 49.5cm
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The half-life of phosphorus-32 is about14 days. there are 6.6 grams present initially.a.express the amount of phosphorus-32 remaining as a functionof time t.b.when will there be 1 gram remaining?
a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].
b. The time when 1 gram remaining is 38.1145 days.
What is the half-life?The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.
Now, as per the question;
Exponential growth is given by the formula;
[tex]A(t)=A_0(1+r)^t[/tex]
Where,
A(t) = amount at time t.
A₀ = Initial amount of the nuclei (= 6.6)
r = rate of increasing( = -1/2; as decay is always negative)
t = time (= t/14)
Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-
Substituting all the values in the equation;
[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]
This is the requires expression.
Part b. Calculate the time there be 1 gram remaining as;
This time can be written as A(t) = 1.
Substitute the value in the equation.
[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]
[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]
Further solving;
t = 38.1145 days.
Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.
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Which is the graph of f(x) = 100(0.7)x? On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100). Mark this and return
Answer:
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Which is the graph of the given function?
Here we have the exponential decay:
f(x) = 100*(0.7)^x
So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).
Now, if we evaluate in x = 0 we get:
f(0) = 100*(0.7)^0 = 100
Then it goes through the point (0, 100).
If we evaluate in x = 2, we get:
f(2) = 100*(0.7)^2 = 49
Then it also goes through the point (2, 49).
With all that in mind, the correct option is:
"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."
Question 7
Which function below does not have a domain of (-∞0, ∞0)?
○ f(x) = {²+2
²+2,
[4x-1, ifr <1
if x ≥1
O f(x)= 2² +1
Of(x) = √2r-1+4
Of(r) = 3r² - 5x + 2
4.5
Answer:
Step-by-step explanation:
What functions have a domain of (- ∞ ∞?
Which function below does not have a domain of (-∞0, ∞0)?○ f(x) = {²+2²+2,[4x-1, ifr <1if x ≥1O f(x)= 2² +1Of(x) = √2r-1+4Of(r) = 3r² - 5x + 24.5
The domain of any polynomial function (including quadratic functions) is x∈(−∞,∞). Functions of even degree will have a bounded range (from below if the leading coefficient is positive, from above if it's negative), and functions of odd degree will have range y∈(−∞,∞).