To simplify the given expression
\(-5(x-10)=-35\)To solve for x, we will follow the steps below
Step 1: Divide both sides by -5
\(\begin{gathered} \frac{-5(x-10)}{-5}=-\frac{35}{-5} \\ \\ x-10=7 \end{gathered}\)Step 2: Add 10 to both sides
\(\begin{gathered} x-10+10=7+10 \\ x=17 \end{gathered}\)The value of x is 17
Select the correct answer.
30-1
2 2 2 2 2 2 2:
(2
28
26-
22-
20
18-
16-
14-
12-
10-
8-
6-
02 4 6 8 10 12 14 16 18 20 22 24 26
How many triangles in the diagram can be mapped to one another by similarity transformations?
OA 2
O B. 4
O C. 0
OD. 3
The number of triangles in the diagram that can be mapped to one another by similarity transformations include the following: D. 3.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent and similar triangles:
ΔABC
ΔDEF
ΔGHI
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evaluate the expression when a= -7 and b=4 for 3b-a
Step-by-step explanation:
By putting value of a and b in 3b-a
The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 3b - a
Plug a = -7 and b = 4
= 3(4) - (-7)
= 12+7
= 19
Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
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Question
Last year, Julia had already exercised 35 hours prior to May 1. She then exercised hour per day on
some days during the rest of the year. Which of the following equations gives the total amount of hours,
h, Julia exercised last year if she exercised d days the rest of the year? (0 ≤ d ≤ 245)
A.h = 0.5d
B. h=05d + 35
C. h = 35d
D. h = 35d +0.5
h = 0.5d + 35, shows the total amount of hours h, Julia exercised last year if she exercised d days the rest of the year.
Given,
Last year, Julia had already exercised 35 hours prior to May 1.
After that she exercised on some days during the rest of the year.
So,
Number of hours Julia has already exercised before may 1 = 35 hours.
For rest of the years Julia exercised on some days = 0.5 hours .
Hence,
The equation that satisfies the given condition of Julia for rest of the years will be,
h = 0.5d + 35
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The domain and range of T
Answer:
Step-by-step explanation:
The domain is {-1, 2} (the domain has only two values).
The range is {-4, -3, 2} (the range contains three values)
Find the radius and the diameter to the nearest hundredth when C = 8π yd. Use 3.14 for π.
Answer:
Diameter=8
Radius=4
Step-by-step explanation:
The equation for circumference is dπ where "d" is the diameter.
C = 8π
d=8
The equation for radius is d/2
r=8/2
r=4
Question 1 of 21
1 Point
Which of the following represents the factorization of the trinomial below?
X2- 17x+30
OA (x-2)(x+15)
O B. (x-3)(x-10)
O C. (x-3)(x+10)
O D. (x-2)(x-15)
SUBMIT
Answer:
D
Step-by-step explanation:
30 must be factored into
2 and 15
3 and 10
5 and 6
The two numbers chosen from the list above must add to 17
Only one set will do and that is 2 and 15
So the answer is
(x - 2)(x - 15)
which is the answer
The area of the triangle is 45.5 square units and the height of the triangle is given. What is the measurement of the base?
For the triangle which is mentioned above the measurement of the base will be 10 cm.
What is a Triangle?
With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.
The area of a triangle is A=1/2b*h
Here, A is the area of triangle =45.5 square units
b will be the base(NEED TO FIND)
h will be the height = 9.1cm
Substituting, 45.5 = (1/2)×b×9.1
b= (45.5×2)/9.1
b= 10 cms
The base value will be: 10cms
The Complete Question: The area of the triangle is 45.5 square units and the height of the triangle is given as 9.1 cm. What is the measurement of the base?
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Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% compounded monthly, determine the due date of the note. (hint: find n then convert it into days and use excel sheet to add it to issue date)
In the box below show these parameters:
PV=....., FV=.....
The due date of the promissory note is May 24th 2013.
Data;
Present Value (PV) = $3600Interest = $370Future Value (FV) = PV + I = $3600 + $370 = $3970Due Date of the NoteTo calculate the due date of the note, we can use the formula of future value of the note.
\(FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n\)
Let's take the natural log of both sides
\((1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28\)
This is approximately 12 months and 9 days.
The due date of the promissory note is May 24th 2013.
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there are how many distinct website graphics to be created?
According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
What is website?A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.
Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:
n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
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Which relationship represents a function with a greater rate
of change than the function graphed?
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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Suppose it costs $2,500 to buy a defibrillator. Find the expected value of owning a defibrillator if there is a 4% probability that Johnson Club will lose a lawsuit regarding its operation, with each lawsuit resulting in Johnson Club being liable in the amount of $1,000,000.
Answer:
$37,500
Step-by-step explanation:
Expected value is the sum of the outcomes times their probability.
E(X) = (-2500) (1) + (1,000,000) (0.04)
E(X) = 37,500
Another way of calculating it:
E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)
E(X) = 37,500
The lengths of the sides of a triangle are 3 , 4 , 5 Classify the triangle as acute, right, or obtuse.
Write an ordered pair for the point in Quadrant III that is 3 units away from point Q (1.5, -1.5) on the coordinate plane.
The point Q'(x, y) = (- 1.5, - 1.5) is located in quadrant III and 3 units away from point Q(x, y) = (1.5, - 1.5).
What is the possible ordered pair related to another one on the coordinate plane?
In this question we find the location of an ordered pair on the coordinate plane and we are asked to find a possible solution that is in quadrant III and three units away from the original point.
A point (x, y) is in the quadrant III if x < 0 and y < 0 and we can determine a resulting point by using the following translation formula:
(x, y) → (x - 3, y)
If we know that (x, y) = (1.5, - 1.5), then the resulting point is:
Q'(x, y) = (1.5, - 1.5) + (- 3, 0)
Q'(x, y) = (- 1.5, - 1.5)
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questionon on picture
Answer:
yes this option is correct
A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th
There are 2 rows of oranges on a table. Each row has 4 oranges. How many oranges are there in all?
Answer:
8
Step-by-step explanation:
2 rows with 4 oranges each -> 2*4 = 8
To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
3x - (2-4x) help needed!!
Answer:
1x
Step-by-step explanation:
first you do 2-4= 2 then 2-3= 1 and then you put the x
so 3x-(2-4x)=1x
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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A music store sold 103 CDs and 102 CD players. If each CD costs $12
and each CD player costs $35, what was the store's total earnings?
$15,500
© $36,200
$24,500
0 $47.000
Answer:
$15,500
Step-by-step explanation:
It would help if you put the actual question in place
10³ CDs = 1000 at $12 each = $12000
+ 10² Players = 100 at $35 each = $ 3500
Total $15500
103(12) + 102(35) = $4806
Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
Determine the period of the function f(t) 2.3cos0.25t
a period .25pi
b period 2pi
c period .5pi
d period 8pi
The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.
To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.
In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.
Using this formula, we can calculate the period of the function f(t) as follows
T = 2π / 0.25
T = 8π
Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.
Hence, the correct answer is d) period 8π.
The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values
The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.
Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.
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Can anyone help me I would really appreciate it.
Answer:
7c + 4 = 8
7c = 8 -4
7c = 4
c=4/7
Question 8 of 10
If f(x) = x² is horizontally compressed to g(x), which could be the equation of
g(x)?
O A. g(x) - (x)
O B. g(x) - (x-6)²
OC. g(x)=x² +6
O D. g(x) - (6x)²
SUBMIT
The horizontally compressed function is \(\(\text{g(x)} = x^2 + 6\)\). The correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).
To horizontally compress the function \(f(x) = x^2\), we can modify the equation by introducing a horizontal compression factor. Let's call the compressed function \(g(x)\).
The general equation for a horizontally compressed function can be expressed as \(g(x) = f(ax)\), where a is the compression factor.
In this case, we want to compress \(f(x) = x^2\). Let's choose a compression factor of \(\frac{1}{2}\).
Therefore, the equation for \(g(x)\) would be:
\(\[ g(x) = f\left(\frac{x}{2}\right) = \left(\frac{x}{2}\right)^2 \]\)
Simplifying this equation, we have:
\(\[ g(x) = \frac{x^2}{4} \]\)
Hence, the equation of \(g(x)\) is:
\(\[ \text{g(x)} = \frac{x^2}{4} \]\)
So, the correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).
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Wayne uses 4 inches of ribbon for each bow he makes. How many bows can he make with 3 yards of ribbon?
Answer:
27
Step-by-step explanation:
1 yard is 3 feet, so 3 yards is 9 feet.
9 feet is 108 inches, so Wayne has 108 inches of ribbon to work with.
Divide 108 by 4, because Wayne needs 4 inches of ribbon to make 1 bow, and we get 27.
Hopefully, this helps with whatever you need to do!
f(x) = -2x^2+3x-6
how does the function open
According to the table, what is the initial value of the data and how can this information be translated to
an ordered pair?
Answer:
Step-by-step explanation:
ay to verify a field type:
Right-click the label of the field and select Configure dictionary.
In this example, the context menu has been opened for the Name field for a record in the Record Producer [sc_cat_item_producer] table.Context menu for field
The context menu from clicking on the label of the Name field, with the Configure Dictionary option the Dictionary Entry record that opens, confirm that the Type field is Translated Text or Translated HTML.
In this example, you see that the Name field is of the type Translated Text.
Dictionary entry for field
Dictionary entry for the Name field, with the Type highlighted
Click back to the form.
Use the language picker to switch to the desired language.
In the relevant field, replace the English text with the text of the target language.
Click Submit.
Result
The platform creates a new record in the Translated Text table for the active language. When a user selects this language, the field displays the translated content for this language. When a user selects English or a language without an associated Translated Text record, the field displays English content.
Answer:
Has anyone gotten the answers?
Step-by-step explanation:
Ive been stuck for days