4x – 22 = -14 pls help again
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ 4x - 22 = -14
Now the value of x will be,
→ 4x - 22 = -14
→ 4x = -14 + 22
→ 4x = 8
→ x = 8/4
→ [ x = 2 ]
Hence, the value of x is 2.
In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?
Can I get help? Thanks so much!
Answer:
when x is 5, y is -1
when x is 3, y is -4
Step-by-step explanation:
plug and chug
HELP PLEASE ALGEBRA 2
Answer:
´the set of all values for which the function is defined´
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Rewrite the equation B - 11,015 = 2t as a function of t.
A.
B(t) = 2t + 11,015
B.
B(t) = -2t + 11,015
C.
B(t) = 2t - 11,015
D.
This equation cannot be written as a function of t.
Answer:
A
Step-by-step explanation:
B - 11,015 = 2t ( add 11,015 to both sides )
B = 2t + 11,015 , that is
B(t) = 2t + 11,015
Answer:
A. B(t) = 2t + 11015
Step-by-step explanation:
Original equation:
B - 11015 = 2t
Add 11015 to both sides:
⇒ B = 2t + 11015
Write as function of t:
⇒ B(t) = 2t + 11015
classify each number below as an integer or not is -8/8 an integer yes or nois -30 an integer yes or no is -1/2 an integer yes or no is -82.34 an integer yes or no is 512.99 an integer yes or no
-8/8 is an integer
By mathematical definition, an integer is a whole number, whether positive or negative.
In other terms, we can say integers are numbers without fractional parts that can be negative or positive
Hence, decimals are not integers
Looking at the question, -8/8 is the same as -1
-1 is a whole number which does not have a decimal or any other frcational part
With this, we can classify -1 as an integer
8. You have 51 coins made up of dimes
and nickels. The coins total $4.55.
How many coins are dimes? How
many are nickels?
Answer:
Solve value problems by setting up a system of equations. ... Once the table is filled in we can easily make equations by adding each column, setting it ... Dime d. 10. 10d. Total. 11. 185. We have 11 coins total.This is the number total. ... twice as many dimes, than we multiply the other variable (nickels) by two.
Step-by-step explanation:
Find slope of blue line pls
Answer:3/4
Step-by-step explanation: use rise/run
start at y= -3 it rises 3 units to x=0, and then it runs 4 units to x=4, hence 3/4
Answer: D) 3/4
===========================================================
Explanation:
Let's pick two points from this line. I'll pick on (0,-3) and (4,0). These are the y and x intercepts in that order.
Apply the slope formula to these points. Keep in mind that, when it comes to subtraction, the order matters.
\(m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{0-(-3)}{4-0}\\\\m = \frac{0+3}{4-0}\\\\m = \boldsymbol{\frac{3}{4}}\\\\\)
The slope is 3/4
This says that to move from (0,-3) to (4,0), we'll go up 3 and to the right 4.
Slope = rise/run = 3/4
rise = 3, run = 4
The slope is positive because we move uphill when moving to the right.
F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.
The divergence of F is
div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z
div(F ) = 1 + 1 + 1
div(F ) = 3
The divergence of the vector field is equal to 3
Data;
(x+yz)i(y + xz)j(z+xy)kDivergence of Vector FieldTo find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.
\(div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3\)
The divergence of the vector field is equal to 3
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Help PLEASE !!!
The equation of a line in the point-slope form is show below.
y – 9 = }(x - 2)
What is the slope of this line?
O A.
2
OB.
COIR
O
OC. 5
5
D.
CUTIH
Answer:
D
Step-by-step explanation:
y - 9 = 1/5(x-2)
distribute the 1/5
y - 9 = 1/5x - 0.4
add 9 to both sides
y = 1/5x - 0.4 + 9
combine
y = 1/5x + 8.6
37 divided by 27
explanation please
Answer:
1.37037037 or 1 10/27
Step-by-step explanation:
What's there to explain?
27/27 + 10/27 = 1 10/27
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
What is the surface area of the sphere shown below with a radius of 7?
1
7
A. 49, sq. units
B. 65 sq. units
C. 196 sq. units
D. 457 sq. units
SUBMIT
Answer:
c
Step-by-step explanation:
the surface area for spheres is
4 × π × r²
4 × π × (7²) = 196 π
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Chocolate sprinkles cost as much per pound as sugar. Find 1/10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
The total cost of chocolate sprinkles is $800
Place value chartsThis is an implementation of the numeral system that shows the value of each digit in a number using their positions
From the complete question, we have the following parameters:
Unit rate = $8.00Total pounds = 100Total cost of chocolate sprinklesSo, the total cost of chocolate sprinkles is calculated using the following formula
\(Unit = \frac{Total}{Pounds}\)
This gives
\(\$8.00= \frac{Total}{100}\)
Multiply both sides of the equations by 100
\(Total = \$8.00 \times 100\)
\(Total = \$800\)
Hence, the total cost of chocolate sprinkles is $800
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11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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Help plz I don’t understand
Prove that if an integer n is the sum of two squares (n = a2+ b2 for a, b Z) then n = 4q or n= 4q+1 or n= 4q + 2 for some qЄ Z. Deduce that 1234567 cannot be written as the sum of two squares.
The number 1234567 cannot be written as a sum of two squares.
Let q = x^2+y^2,
Let a and b be two even numbers, such that
a= 2x and b = 2y
then
n = (2x)^2 + (2y)^2 = 4 (x^2+y^2)
implies n = 4q
Let a and b be two odd numbers, such that
a = 2x+1 and b = 2y+1
then
n = (2x+1)^2 + (2y+1)^2 = 4x^2+4y^2+1 = 4q+2
Let a be an even number and b be an odd number, such that
a= 2x and b = 2y+1
then
n = (2x)^2 + (2y+1)^2 = 4q+1
But, the given number 1234567 = (4×308641)+3 which is of the form 4q+3, hence it cannot be written as the sum of two squares.
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HELP ASAP IT SHOULD BE EASY FOR YALL SO YEH BRAINLIEST I GUESS
Which of the following is a statistical question that can result in numerical data?
What gym is your favorite place to work out?
How many students at your school participate in karate?
What is the name of the veterinarian at We Love Pets?
What movie did you see at the theatre this month?
Answer: How many students at your school participate in karate.
Step-by-step explanation:
A numerical data is data that will always result in a number.
Given f(x) = 3(4-x), what is the value of f( − 2)? Enter your answer in the answer box.
Answer:
f(-2) = 18
Step-by-step explanation:
In order to calculate a function of x, we replace x
For example
f(x) = x
f(-2) = -2
In this specific scenario
f(x) = 3 * (4 - x)
f(-2) = 3 * (4 - -2)
- -2 turns positive
f(-2) = 3 * (4 + 2)
Now we use PAMDAS (parentheses, exponents, multiplication, division, addition) as an operation order, so we first solve the parantheses
f(-2) = 3 * 6
f(-2) = 18
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
1) The perimeter of a rectangular garden is 344M. If the width of the garden is 76M, what is its length?
Equation:
Solution:
(I need the equation and solution)
2) The area of a rectangular window is 7315CM^2 (^2 is squared). If the length of the window is 95CM, what is its width?
Equation:
Solution:
(Once again, I need the equation and solution)
3) The perimeter of a rectangular garden is 5/8 mile. If the width of the garden is 3/16 mile, what is its length?
4) The area of a rectangular window is 8256M^2 (^2 is squared). If the length of the window is 86M, what is its width?
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98M, find its length and width.
6) The perimeter of the pentagon below is 58 units. Find VW. Write your answer without variables.
The length of the rectangle is 96 m, the width of the rectangle is 77 cm , the length of the rectangle is 1/8 mile, the length and width of the rectangle is 7 m and 42 m respectively, VW is 11 units.
According to the question,
1) Perimeter of rectangle = 344 M
Width = 76 M
Perimeter of rectangle = 2(length + width)
2(length+76) = 344
length+76 = 172
length = 172-76
Length of the rectangle = 96 M
2) Area of a rectangular window = 7315 \(cm^{2}\)
Length of the window is 95 cm.
Area of rectangle = length*width
95*width = 7315
width = 7315/95
Width of the rectangle = 77 cm
3) The perimeter of a rectangular garden is 5/8 mile.
The width of the garden is 3/16 mile.
Perimeter of rectangle = 2(length+width)
2(length+3/16) = 5/8
length+3/16 = 5/(2*8)
length = 5/16-3/16
Length of the rectangle = 2/16 or 1/8 mile
4) The area of a rectangular window is 8256 \(m^{2}\).
The length of the window is 86 m.
Area of rectangle = length*width
86*width = 8256
width = 8256/86
Width of the rectangle = 96 m
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98 m.
Let's take width of the rectangle to be x m.
Length of rectangle = 6x m
2(length+width) = 98
2(6x+x) = 98
2*7x = 98
14x = 98
x = 98/14
x = 7 m
Width = 7 m
Length = 7*6 m or 42 m
6) The perimeter of the pentagon is 58 units.
3z+10+z+3+2z-1+10 = 58
6z+10+3-1+10 = 58
6z+22 = 58
6z = 58-22
6z = 36
z = 36/6
z = 6 units
VW = 2z-1
VW = 2*6-1
VW = 12-1
VW = 11 units
Hence, the answer to 1 is 96 m , 2 is 77 cm, 3 is 1/8 mile , 4 is 96 m , 5 is 7 m and 42 m and 6 is 11 units.
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Point P on the coordinate grid below shows the location of a ght. A second stage light is 10 units above P. The length of What are the coordinates of the location of the second stage light ?
Given:
The coordinates of points P is (2,-6).
The second stage light is 10 units above p.
\(\begin{gathered} (x,y)\rightarrow(x,y+a)\text{ } \\ a=10 \\ (2,-6)\rightarrow(2,-6+10)=(2,4) \end{gathered}\)Answer: The coordinates of the location of the second stage light is (2,4)
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours. How many hours will James have to work each week?
Please help me with the formula
The number of hours that James have to work each week will be 25 hours.
How to calculate the number of hours?The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.
In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.
The number of hours that James have to work each week will be:
= 5(38) - 3(15 - 4)
= 5(38) - 3(11)
= 5(38 - 33)
= 5 × 5
= 25 hours
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1a. Model the periodic motion of the horses using an
equation and a graph.
Horse Equation: Use function notation in degrees. Your
function will graph below
The amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:
T = 2π/ω.
What is the explanation for the above response?Let's assume that a straightforward harmonic motion can be used to simulate the horse's movements. The simple harmonic motion equation is:
y = A sin(ωt + φ)
where:
The deviation from equilibrium is represented by the number y.
The maximum displacement's amplitude is A.
The angular frequency is equal to two times the frequency ω.
It's time t
The phase angle is φ
The equation can be written as follows, assuming that the horse is moving vertically and that its highest point corresponds to y = 0.
y = A sin(ωt)
where is the angular frequency and A is the motion's amplitude.
On a graph, where the horizontal axis denotes time and the vertical axis denotes displacement, we can draw this function as a sine wave. The
amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:
T = 2π/ω
We need to know the duration of the horse's motion in order to predict when Ivan will have another chance to make a flawless shot. It's challenging to determine the period precisely in the absence of more details.
You can name the graph of the carousel equation θ = A cos(ωt) as follows:
The time, t, is displayed on the x-axis as seconds.
The angular position from the midline, θ, expressed in degrees, is shown on the y-axis.
The horizontal axis at θ = 0 degrees is the midline.
The largest angle of departure from the midline, or the distance between the wave's crest (highest point) or trough (lowest point), is known as the amplitude, or A.
The interval between two consecutive wave crests or troughs is known as the period, or T, which is the length of time it takes for one full cycle of motion.
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Check here for instructional material to complete this problem.
2
Evaluate or v
Vnp(1 - p) for n= 1508, p =
5
Answer:
361.92
Step-by-step explanation:
1508(2/5)= 603.2(1-0.4)= 603.2(0.6)= 361.92
1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
A square serving platter has an area of 49cm2. What is the side length?
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation: