Answer:
...It is 10
Step-by-step explanation:
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Solve and express your answer in both
scientific and standard notation.
.000075 + (1.3 x 10-5)
Answer:
8.000075
Step-by-step explanation:
1.3 x 10 is 13 that - 5 is 8 n then u just add the .000075 to it
What is the area of a sector when 0=pi/2 radians and r=8/3
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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what is the discriminant of x^2=-14x-40
Answer:
Explanation:
x2+14x+40
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅40=40
and,
N1+N2=b=14
After trying out a few numbers we get N1=10 and N2=4
10⋅4=40, and 10+4=14
x2+14x+40=x2+10x+4x+40
=x(x+10)+4(x+10)
Here (x+10) is common to both terms.
So the factorised form is=(x+4)(x+10)
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Solve for b.
5
b
8
b = ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
+
Enter
Answer: 6.25
Step-by-step explanation:
a2 + b2 = c2
b2 = c2 - a2
b2 = (8*8) - (5*5)
b2 = 64 - 25
b2 = 39
b = \(\sqrt{39}\)
b = 6.25
A ball is dropped from a height of 10m after each bounce it rises to 3/5 its original height. How many bounces until the height reached is less than 1 metre?
Answer:
Hey, I hope this helps. Just remember, I'm a math genius, okay. There is some math subjects I don't understand, and there are some that I do. Anywho, Here is the answer:
You will have 4 bounces until it rests. The fourth bounce is less than 1 metre.
Height after 4th bounce= \(4*0.6^{3}\)
=0.864
4*0.6
Step-by-step explanation:
Here is how to solve it:
1st bounce= \(a_{1}\)
4m
2nd bounce= \(a_{2}\)
4*0.6
=2.4m
3rd bounce= \(a_{3}\)
\(4*0.6^{2}\)
= 1.44m
4th bounce= \(a_{n}\)
\(4*0.6^{n-1}\)
I don't know if this is what you are looking for or if this is completely correct, but I hope this helps. I tryied my very best to help you.
2/3 ounce servings are in 5 1/2 ounces of oatmeal
Answer: 4/33
Step-by-step explanation:
just divide
Answer:
The answer is 4/33.
Step-by-step explanation:
to get this you just have to divide.
you're welcome.
Match the proper noun to the common noun.
1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X
If a number is chosen randomly from the numbers {1,2,3,4, …,20}, find the probability of getting a composite number
\(|\Omega|=20\\A=\{4,6,8,9,10,12,14,15,16,18,20\}\\|A|=11\\\\P(A)=\dfrac{11}{20}=55\%\)
2 John mors a lawn in 2 hours. What unit fraction would be used to convert this to the number of minutes it takes him to mowa law
50 minutes / 1 hour
50 minutes / 2 hours
O 1 hour / 50 minutes
2 hours / 50 minutes
Answer:
50 minutes / 2 hours
Step-by-step explanation:
which is 25 minutes per hour
Rearrange b=4+5g2 to make g the subject
Answer:
b-4/5×2 =g
Step-by-step explanation:
if u wrote down the equation correctly
In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.
What is the area of the shape for the quilt block?
sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
The total area of the quilt is: 112.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 5 inches and height: 5.18 inches
The rectangle at the bottom:
Base: 16 inches with a height of 7.5 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 5 * 6 + 13 * 7.5
Area of figure = 112.5
Based on the parameters, the total area is 112.5 square inches
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Mt. Everest is 8,848 meters tall. How many kilometers tall is is Mt. Everest?
Answer:
3.0325 Kilometers
Hope this helps(:
Step-by-step explanation:
Answer:
8.848 kilometers
Step-by-step explanation:
1 meter equals 0.001 kilometers
Is there any math Aces in Brainly today?
Answer:
So this angle is an acute angle so it would be around 60 so i think its D
Step-by-step explanation:
can i have brainliest
What are the characteristics of a graph of an inverse variation equation?
Answer:
the answer the other dude gave is right
Step-by-step explanation:
What is the area of the parallelogram?
7
6
5
square units
Answer:
What I think the area is 210
Step-by-step explanation:
Multiply the lengths. Hope this helps
HELPPP PLEASE ASPPP!!!!!!
Examine the graph below. Calculate the slope.
Slope of line is 1/2.
What is slope?
In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.
Main body:
to find the slope from a graph , we need to fix two co-ordinates at slope for axis
let point at x be = (40,40)
let point y = (80,60)
Formula for slope ,
m = y₂-y₁/x₂-x₁
m = 60-40/80-40
m = 20/40
m = 1/2
hence , slope of line is 1/2.
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HELP AGIAN PLEASEEEEEEEEEEEEEE
Step-by-step explanation:
y=mx+b
6 -8
9 -7
\( - 8 = 6m + b \\ - 7 = 9m + b \\ - 7 + 8 = 9m - 6m \\ 3m= 1 \\ m = \frac{1}{3} \\ \)
\( - 8 = 6 \frac{1}{ 3} + b \\ b = - 8 - 2 \\ b = - 10 \\ y = 0.333x - 10 \\ y = \frac{x}{ 3 } - 10\)
Answer:
i got you
Step-by-step explanation:
to find it use y=mx+b
Pre calculus
Help me
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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Which side in the figure on the right corresponds to segment QS?
What is the scale factor?
See the picture
Please help
PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
Answer:
C 52x3
Step-by-step explanation:
The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
Answer:
Step-by-step explanation:
15 + w = 3w - 11
Solve for W
Answer:
w=13
Step-by-step explanation:
15+w=3w-11
+11 +11
26+w=3w
-w -w
26=2w
26/2=2w/2
13=w
Answer:
w =13
Step-by-step explanation:
15+w=3w−11
Collect like terms
15+11=3w−w
Simplify
26=2w
Divide both sides of the equationy 2
26/2=2w/2
Simplify
13=w
switch sides
w=13
Enter the number that belongs in the green box. 4 51° 109°
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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