Answer:
The quotient of v and twelve is equal to the product of 4 and the sum of v and three.
Step-by-step explanation:
The expression v/12 can be described several ways:
v divided by 12the ratio of v to 12the quotient of v and 12one-twelfth of vv over 12The product 4(v+3) can also be described several ways. The trick is to pick one that is not ambiguous.
the product of 4 and 3 more than v (could mean 4·3 +v)4 times the quantity v plus 3 (could mean 4v +3)the quantity v plus 3 multiplied by 4 (could mean v +3·4)4 times the sum of v and 3The verbal expression written above is among the least ambiguous. (The least ambiguous way to write it is: v/12 = 4(v+3).)
Answer: The Correct Answer is
A number divided by 12 is equal to 4 multiplied by the sum of that number and 3.
Step-by-step explanation:
In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coordinates of A?
A. (-7.5, 3)
B. (-8, 4)
C. (-9, 6)
D. (-8.5, 5)
E. (-6, 5)
Answer:
(B) -8,4
Step-by-step explanation:
Answer:
(-8,4)
Step-by-step explanation:
Given in the picture is a right triangle and a square sharing one commonside
Area of triangle = area of square
ie [tex]1/2 bs = s^2[/tex] (is s is one side of square)
i.e. b = 2s where b = EA
In other words A divides line EB in the ratio 2:1
Using section formula
Coordinates of A=
[tex](\frac{2(-7)+1(-10)}{3} ,\frac{2(2)+1(-8)}{3})\\=(-8, 4)[/tex]
Please help, question above
Answer:
a + b - c - d
Step-by-step explanation:
The rules of exponents are ...
(x^a)(x^b) = x^(a+b)
(x^a)/(x^b) = x^(a-b)
Using these rules on your expression, we can simplify it to ...
(3^a) · (3^b) ÷ (3^c) ÷ (3^d)
= 3^(a+b) ÷ (3^c) ÷ (3^d)
= 3^(a+b-c) ÷ (3^d)
= 3^(a+b-c-d)
_____
The Order of Operations requires multiplication and division be evaluated left-to-right in order of appearance. The ÷ symbol means the same thing as the / symbol in this context: whatever is on its immediate left is divided by whatever is on its immediate right.
Select the correct answer. What is the 13th term of this arithmetic sequence? 132, 135, 138, 141, … A. 168 B. 172 C. 176 D. 179
Answer:
168
Step-by-step explanation:
132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168
The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. When the equation is solved for a, such that b is the numerator of the resulting fraction, what is the denominator of the fraction?
Answer:
2x
Step-by-step explanation:
Solve the equation for a as follows:
First multiply both sides by 2a:
[tex](2a)x=-b[/tex] and then divide both sides by 2x:
[tex]a=-\frac{b}{2x}[/tex]
The denominator will be equal to 2x.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a, where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. When the equation is solved for a such that b is the numerator of the resulting fraction,The value of the denominator will be:-
x = -b/2a
From the given information the expression will be written as
a = -b / 2x
Therefore the denominator will be equal to 2x.
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At 73°F a certain insect chirps at a rate of 97 times per minute, and at 80°F, they chirp 132 times per
minute. Write an equation in slope-intercept form that represents the situation.
Answer:
The equation is: y = 5x - 268
Explanation:
We are given that:
At 73°F, the chirp is 97 times per minute .........> first point is (73, 97)
At 80°F, the chirp is 132 times per minute .......> second point is (80, 132)
The general equation of the linear line is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
The slope can be calculated using the following rule:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute with the given points to get the slope as follows:
[tex]m = \frac{132 - 97}{80 - 73} = 5[/tex]
The equation, now, became:
y = 5x + c
2- getting the y-intercept:
To get the y-intercept, use any of the given points and substitute in the rule we got in part 1. I will use the point (80, 132)
Therefore:
y = 5x + c
132 = 5(80) + c
c = 132 - 5(80) = -268
The equation, therefore, is:
y = 5x - 268
Hope this helps :)
Which transformation from the graph of a function f(x) describes the graph of f(x)-1?
Answer:
Step-by-step explanation:
Any side to side movement of a function will be reflected inside a set of parenthesis with the x. For example, if the function was a parabola, the parent graph could be, very simply,
[tex]y=x^2[/tex]
Side to side movement would make the equation look like this:
[tex]y=(x-h)^2[/tex]
where h is the x coordinate of the vertex.
Up or down movment would make the equation look like this:
[tex]y=x^2+k[/tex] for movement upwards, or
[tex]y=x^2-k[/tex] for movement downwards. The k represents the y coordiante of the vertex in this parabola.
Because our function has NO numbers inside the parenthesis with the f(x), but it has a -1 after, we are moving the parent graph of this function, whatever it is, down one from its starting position.
The transformation from the graph of a function f(x) describes the graph of f(x) - 1 is a vertical shift down by 1 unit
From the question, we have the following parameters that can be used in our computation:
The function f(x)
Also, we have
The function f(x) - 1
Subtracting a value from a function means that the function is shifted down
In this case, the subtracted value is 1
This means that f(x) - 1 is a vertical shift down by 1 unit from f(x)
Does the graph of any relation have end behaviors that can be described the same way as the end behaviors of a polynomial relation?
Answer:
No
Step-by-step explanation:
Not all relations have either an infinite domain or an infinite range. Some have no "end behavior". A sine function, for example, continues to oscillate between -1 and +1 forever.
The graphs of some relations are simply a collection of points, so the "end behavior" would be the points at either extreme of the domain.
Miguel's employer pays $1,825 in health insurance and $93 in life insurance per year. He also gets $2,860 in paid time off per year. His monthly gross pay is $3,890. What are Migual's total job benefits per year? a. $51,458 b. $46,680 c. $8,668 d. $4,778
Answer:
a. $51,458
Step-by-step explanation:
Answer:
the correct answer is option A
Step-by-step explanation:
given,
Health insurance payment = $1,825
Life insurance per year = $ 93
paid off per year = $2,860
monthly gross pay is = $3,890
Miguel's get paid yearly =health insurance + life insurance + paid time off
= 1825 + 93 + 2860
= $ 4778
his monthly gross pay = $ 3,890
his yearly gross pay = $ 3,890 ×12
= $ 46,680
hence total job benefit = $ 46,680 + $ 4778
= $51,458
so , the correct answer is option A
I don’t really know what to put /what it means so please tell me what to put. (And what it means if u can) it’s for my geometry class 9th grade.
The first attachment is one way that quadrilaterals can be classified. If you've never studied a diagram like this before, it would certainly be mysterious.
There is a little more to it in that a "kite" is not the only kind of quadrilateral with no parallel sides.
Your diagram apparently doesn't recognize the special sorts of trapezoids you might have other than isosceles.
___
The classifications on the first diagram are numbered. The numbers on the second diagram are the way I'd match up the descriptions to the bubbles in your diagram.
Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of J, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
The smallest angle occurs opposite the shortest side length of the triangle. So by the law of cosines we have
[tex]11^2=13^3+19^2-2\cdot13\cdot19\cos\angle J\implies\cos\angle J=\dfrac{409}{494}\implies\theta\approx\boxed{34^\circ}[/tex]
Answer:
The measure of angle J is 34°
Step-by-step explanation:
Given,
J is the smallest angle in the triangle with sides measuring 11, 13, and 19,
Thus, J must be the opposite angle of the side measuring 11,
Since, the law of cosines,
[tex]a^2 = b^2 + c^2 - 2bc cos A[/tex]
Where, a, b and c are the sides of a triangle ABC,
Such that angle A is opposite to the side measuring a,
By applying the law,
We can write,
[tex]11^2 = 13^2 + 19^2 - 2\times 13\times 19 cos J[/tex]
[tex]121 = 169 + 361 - 494 cos J[/tex]
[tex]\implies cos J = \frac{169+361-121}{494}=\frac{409}{494}[/tex]
[tex]\implies m\angle J=34.1127839945\approx 34^{\circ}[/tex]
Second option is correct.
Long Side of rectangle: 3x+3
Short side: 2x
The perimeter of the rectangle is 146 units. What is the length of the longer side?
The answer is:
The length of the longer side of the rectangle is equal to 45 units.
Why?To solve the problem, we need to use the formula to calculate the perimeter of a rectangle, then, isolate the variable and finally, calculate the length of the longer side.
We can calculate the perimeter of a rectangle using the following equation:
[tex]Perimeter=2Length+2Width\\[/tex]
Let be the length the longer side and the width the short side of the rectangle.
Then, substituting the given information and calculating we have:
[tex]146=2*(3x+3)+2*2x\\146=6x+6+4x\\146-6=10x\\140=10x\\\\x=\frac{140}{10}=14[/tex]
Now, calculating the long side of the rectangle, we have:
[tex]LongSide=3*14+3=45units[/tex]
Hence, we have that the length of the longer side of the rectangle is equal to 45 units.
Have a nice day!
A. 11 degrees
B. 22 degrees
C. 25 degrees
D. 41 degrees
Answer:
A
Step-by-step explanation:
Match the following
Answer:
After you swap the top two descriptions on the right, everything matches straight across.
Step-by-step explanation:
1. The circle described is the incircle, circumscribed by the polygon.
2. When the tangent line separates the centers of the circles to which it is tangent, it is called an internal tangent.
3. An external tangent will be parallel to or will intersect the line joining circle centers at a point not between any of those centers.
4. A tangent to a circle is coplanar with the circle and intersects it in exactly one point.
Given graph for function f(x) given above, find the f(-2). f(-2) =
Answer:
f(-2) = 3
Step-by-step explanation:
The graph goes through the point (-2, 3), indicating the value of f(x) is 3 when x=-2.
Subtract (2x3 + 9x − 8) − (4x2 − 15x + 7).
Answer:
[tex]2x^{3}-4x^{2}+24x-15[/tex]
Step-by-step explanation:
we have
[tex](2x^{3}+9x-8)-(4x^{2}-15x+7)[/tex]
step 1
Eliminate the parenthesis
[tex]2x^{3}+9x-8-4x^{2}+15x-7[/tex]
step 2
group terms that contain the same variable
[tex]2x^{3}-4x^{2}+(9x+15x)+(-8-7)[/tex]
step 3
Combine like terms
[tex]2x^{3}-4x^{2}+24x-15[/tex]
.21875 as a fraction
Answer:
7/32
Step-by-step explanation:
0.21875 can be expressed as the fraction 7/32.
To express the decimal number 0.21875 as a fraction, we can follow these steps:
Step 1: Write the decimal number as a fraction with the same value as the original decimal number.
In this case, 0.21875 can be written as 21875/100000.
Step 2: Simplify the fraction if possible by finding the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 21875 and 100000 is 625.
By dividing both the numerator and denominator by 625, we get:
21875/100000
= (21875 ÷ 625) / (100000 ÷ 625)
= 35/160.
Step 3: Further simplify the fraction if possible.
In this case, we can divide both the numerator and denominator by 5 to simplify the fraction:
35/160 = (35 ÷ 5) / (160 ÷ 5) = 7/32.
Therefore, 0.21875 can be expressed as the fraction 7/32.
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what is the total weight in pounds of 56 notebooks if each notebook weighs 5/8 lb? please show work
Answer:
Multiply the number of notebooks by the weight of one notebook.
When multiplying a whole number by a fraction, multiply the whole number by the top number of the fraction, and then divide that by the bottom number of the fraction.
56 x 5 = 280
280 / 8 = 35
The 56 notebooks weigh 35 pounds.
The row-reduced form of a system of three linear equations in three variables is given by this matrix. How many solutions does the system have?
Answer:
B. infinite solutions along a line
Step-by-step explanation:
The matrix is equivalent to the equations ...
x = 2
y = 9
0z = 0 . . . . . . true for any z
This tells you the solutions are ...
(x, y, z) = (2, 9, z)
This defines a line parallel to the z-axis.
Right triangle ABC is shown below.
A similar right triangle would be created by a run of 8 and a rise of
Answer:
20
Step-by-step explanation:
The ratio of rise to run is 5:2, so if the run is 8, the rise is correspondingly 4 times as much:
rise : run = 5 : 2 = 20 : 8
A similar right triangle would be created by a run of 8 and a rise of 20.
Answer:
20
Step-by-step explanation:
Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A 90 degrees
B 72 degrees
C 60 degrees
D 45 degrees
E 30 degrees
Answer:
Step-by-step explanation:
e
Answer: B- 72
Step-by-step explanation:
If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 4 years? Use the continuous compound interest formula: A = Pert
Answer:
$295.01
Step-by-step explanation:
Using the compounding continuously formula, we are looking for A. We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4. Filling in we have:
[tex]A=190e^{(.11)(4)}[/tex]
Simplifying that multiplication:
[tex]A=190e^{.44}[/tex].
On your calculator, raise e to the .44 power to get
A = 190(1.552707219) and
A = $295.01
The investment should be worth in 4 years is $295.01.
Given that,
If $190 is invested at an interest rate of 11% per year and there is 4 years.Based on the above information, the calculation is as follows:
[tex]A = 190e^{0.11 \times 4}\\\\= 190e^{-44}\\\\= 190\times 1.55\\\\[/tex]
= $295.01
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I need help with the 6.G Standards
23.
If we take the triangle on the right and put it on the left we have a rectangle, 15 by 11, so area 165.
Answer: 165
24.
Perimeter: 11 + 14 + 11 + 14 = 50
Area: 9 by 14 = 126
PLEASE HELP BRAINLIEST
Answer:
there is a 25% chance that Tim takes 2 red sweets.
Step-by-step explanation:
P (2 red sweets)= 2/8
2/8 ÷ 2= 1/4
1/4= .25
.25= 25%
Find the area of this rhombus
The answer is:
The area of the rhombus is equal to 64 squared inches.
[tex]area=64in^{2}[/tex]
Why?Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:
[tex]area=\frac{diagonal_{1}*diagonal_{2}}{2}[/tex]
From the image we can see that:
[tex]diagonal_{1}=8in+8in=16in[/tex]
[tex]diagonal_{2}=4in+4in=8in[/tex]
So, substituting, we have:
[tex]area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}[/tex]
Hence, we have that the area of the rhombus is equal to 64 square inches.
Have a nice day!
Answer: SECOND OPTION.
Step-by-step explanation:
You can calculate the area of the rhombus with this formula:
[tex]A=\frac{d_1*d_2}{2}[/tex]
Where [tex]d_1[/tex] and [tex]d_2[/tex] are the lengths of the diagonals.
You can observe in the figure that the length of each diagonal is:
[tex]d_1=4in+4in=8in\\d_2=8in+8in=16in[/tex]
Now you can substitute the lenghts of the diagonals into the formula. Therefore, the area of this rhombus is:
[tex]A=\frac{(8in)(16in)}{2}[/tex]
[tex]A=\frac{128}{2}[/tex]
[tex]A=64in^2[/tex]
The owner of a small manufacturing plant employs six people. As part of their personnel file, the owner asked each employee to record the distance they travel one way from home to work. The six distances (in miles) are listed below. What is the range of the data? 2.4 5.2 1.8 4.9 6.4 3.5
Answer:
4.6
Step-by-step explanation:
Formula: Range = highest value - lowest value
Step 1: List all the data in ascending order
1.8, 2.4, 3.5, 4.9, 5.2, 6.4
Step 2: Identify the lowest and highest number
Lowest number : 1.8
Highest number : 6.4
Step 3 : Substitute the values in the formula
Range = highest value - lowest value
6.4 - 1.8 = 4.6
!!
PLEASE HELP!! WILL MARK BRAINLEST?!
-Estimate the line of best fit using two points on the line.
Answer: I think is A
Step-by-step explanation:
You do y2-y1/x2-x1 and get a slope of 3 and according to the graph when the x is 3 the y is about 2 hope this help
Answer:
A
Step-by-step explanation:
if you do all the math will see that A is correct and the other guy said its A so its defently A
please help asap will mark brainliest
The value of the 8, in 2781, is what times the value of the 8, in 948
options
A) 10
B) 1
C) 1/10
Answer:
A) 10
Step-by-step explanation:
The value of 8 in 2781 is in the tens place value.
The value of 8 in 948 is in the ones place value.
Note that the tens place value is x10 greater than the ones place value.
A)10 is your answer, for:
8 x 10 = 80
~
Answer:
A) 10
Step-by-step explanation:
The value of the 8, in 2781, is 10 times the value of the 8, in 948.
What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible?
Answer:
The probability of an event that is impossible is zero (0)No, a probability approximated to be zero based on empirical results does not mean that the event is impossible.Explanation:
For the first question, the mathematical (statistical, to be more precise) definition of a event that is impossible is that its probability is zero.
There are two extremes when you talk about probability: 0 and 1. 0 means that the event cannot occur in any way, while 1 is that the event is certain (it cannot not happen).
An example of an event with probability 0 is: men born in the Sun. This is an impossible event, and so there is no chance (probability 0) to find a man born in the Sun.
For the second question, when you deal with empirical results, this is with an experiment, the fact of having a probability zero as result of approximations does not make that an event be impossible; the event is unlikely (if the experiments were carried out properly) but yet it can happen.
For example, say you put 1,000 ballots in a bag with the number 3, together with 1 ballot with the number 9. Then, you perform the experiment of drawing a ballot 2,000 times. Suppose you draw the ballot with the number 9 two times. In that case, your approximated experimental probability of drawing a 9 will be 2 /2,000 = 0.001. Which you could round to 0.00. That may be valid but it cannot be taken as that the event of drawing the ballot with the number 9 is impossible, it is just unlikely.
Answer:
0
Step-by-step explanation:
Find the sixth term of the sequence 1/2, -3/8, 9/32
A. 243/2048
B. -243/2048
C. 81/1024
D. -81/1024
Answer:
The sixth term is -243/2048 ⇒ answer B
Step-by-step explanation:
* Lets explain the geometric sequence
- There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric sequence:
# U1 = a , U2 = ar , U3 = ar² , U4 = ar³ , U5 = ar^4
# Un = ar^(n-1), where a is the first term , r is the constant ratio
between each two consecutive terms and n is the position of the
number in the sequence
- Ex: U5 = ar^4 , U7 = ar^6 , U10 = ar^9 , U12 = ar^11
- Lets solve the problem
∵ The sequence is 1/2 , -3/8 , 9/32
- Lets find the constant ratio r
∵ The first term is a = 1/2
∵ The second term is U2 = ar
∵ The second term U2 = -3/8
∴ ar = -3/8
∴ 1/2 r = -3/8 ⇒ multiply both sides by 2
∴ r = -3/4
- Lets find the sixth term
∵ a = 1/2 and r = -3/4
∵ n = 6
∴ U6 = ar^5
∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048
* The sixth term is -243/2048
Answer:
B edge
Step-by-step explanation:
Big Bob's Pizza is having a special on pizza and is offering two different choices: Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95. Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75. Which choice will give you more pizza for your money? Justify your answer using numbers and words.
The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.
Further Explanationa. Find the radius of each pizza.
Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.
Choice #1: One slice of a pizza with a 22 inch diameter and is cut into 8 slices. Since the diameter is the distance across the pizza, 22 inch diameter means the pizza is 22 inches wide. The area formula uses the radius or half the diameter. The radius of choice #1 is 11 inches.Choice #2: An entire personal-size pizza that has a diameter of 6 inches. Here the radius is half of 6 inches. The radius of choice #2 is 3 inches.b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].
Choice #1: Substitute r = 11 into the formula then divide by 8 to find the area of one slice or serving.[tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]
The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]
Choice #2: Substitute r = 3 into the formula. This is a personal pizza so the entire pizza is a serving.[tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]
c. Divide each area by the price.
The cost of Choice #1 is $4.95. Since the serving size is 1 slice, use the area of the slice 47.49. Divide it into the price to find the cost per square inch of one serving.[tex]\frac{4.95}{47.49} = 0.10[/tex]
The cost of Choice#2 is $ 3.75. Since the serving serving size is the entire personal pizza, use the area of the pizza 28.26.[tex]\frac{3.75}{28.26} = 0.13[/tex]
Learn More Area and Circumference of a Circle Application: https://brainly.com/question/3519879 Cost per unit: https://brainly.com/question/11521316Answer DetailsGrade: 8th Grade
Subject: Geometry
Chapter: Applications for Area of Shapes
Keywords: circle, area, radius, diameter, cost, unit rate
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