Table C has a constant proportionality between y and x of 0.3.
A constant is an expression-unchanging value or number. It always has the same value.
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.
The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.
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j^² - 5k for j = -4 and k = -1
Answer:
21
Step-by-step explanation:
Hello!
Substitute the values of j and k and evaluate.
Evaluate[tex]j^2 - 5k[/tex][tex](-4)^2 - 5(-1)[/tex][tex]16 + 5[/tex][tex]21\\[/tex]The evaluated value is 21.
which conversion factor can you use to convert meters to feet?
select all that apply
3fy/1yd
12in/1ft
1.09yd/1m
1m/1.09yd
1ft/12in
1yd/3ft
The conversion factor to convert meters to feet is 3.281 feet per meter.
What conversion factor should we use to convert meters to feet?
According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:
Y = A · X
Unit representation
[Y] = ([Y] / [X]) · [X]
In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.
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What is it asking for??
PLEASE HELP ME
TEMPERATURE The hottest temperature recorded in Key West, Florida, was 98°F. This was 25°F colder than 3 times the coldest temperature
recorded in Key West. Which equation can be used to find the coldest temperature recorded in Key West? What is the coldest temperature
recorded in Key West?
A) 3T + 2598; 24.3°
O B) T+25=98; 73°
O C) 3T98; 32.7"
OD) 3T-25= 98; 41°
The equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.
What is an equation?The equation represents the relationship of two expressions on either side of the sign.
We have,
The hottest temperature = 98°F.
And that this was 25°F colder than 3 times the coldest temperature.
If we let the coldest temperature be denoted by T
We can write an equation as:
98°F + 25°F = 3T
Subtracting 25° on both sides.
98°F = 3T - 25°F
3T - 25°F = 98°F
The coldest temperature recorded in key west:
3°T - 25°T = 98°F
3°T = 123°F
T = 103°F / 3
T = 41°F
Thus the equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.
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is the value of the 1 in 1,440,000 10 times as great as the value of 4 in the hundred thousands place explain
Answer:
Yes because first ( right to left) 4 is 400,000 while the other 4 is 40,000
Step-by-step explanation:
40,000x 10= 400,000
thanks
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars how much would he get
Answer:
25,09
Step-by-step explanation:
So, you've converted 2000 Indian Rupee to 25.145200 US Dollar. We used 79.538043 International Currency Exchange Rate. We added the most popular Currencies and CryptoCurrencies for our Calculator. You can convert Indian Rupee to other currencies from the drop down list. Selling 2000 Indian Rupee you get 25.145200 US Dollar
Answer:
$ 26
Step-by-step explanation:
Current exchange rate : 1 ruppee / .013 dollar
2000 r / (1 r / .013 dollar) = 26 dollars
Passes through (-3,2) and perpendicular to the line containing (2,3) and (1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Passes through (-3,2) and perpendicular to the line containing (2,3) and
Write a quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
What is quadratic function?A quadratic function is one of the following: f(x) = ax2 + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can expand up or down, and their "width" or "steepness" can vary, but they all share the same basic "U" shape.
According to the given data:The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
We utilize equation when p and q are the roots.
y = a(x- p)(x-q)
We are given with roots 4 and -2
y = a(x- 4)(x-(-2))
y = a(x- 4)(x + 2)
Now we use the given point (3,-3) to find out 'a'
3 = a(3- 4)(3 + 1)
3= a(-1)(-2)
3= 1a
a = 1/3
Replace the value of 'a'
f(x) = 1/3(x-4)(x-2)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
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Step-by-step solution, please?
Answer:
28y - 4
Step-by-step explanation:
multiply 28 by everything in the bracket
28y - (28/7)
28y - 4
Please help me due in less than an hour
Answers to Question 6: m∠1 = 92, m∠2 = 88
The sum of a linear pair's angles is 180°, so we will set up an equation to solve.
(x + 67) + (3x + 13) = 180
4x + 80 = 180
4x = 100
x = 25
-
(x + 67) ➜ (25 + 67) ➜ 92
(3x + 13) ➜ (3(25) + 13) ➜ 88
Answer to Question 7: m∠2 = 56
Vertical angles are congruent, or equal, so we can set up an equation to solve.
(5x + 16) = (4x + 24)
x = 8
-
(5x + 16) ➜ (5(8) + 16) ➜ 56
(4x + 24) ➜ (4(8) + 24) ➜ 56
Write the equation of a circle in STANDARD FORM given that the center lies at
(-13, 13) on the graph and the circle has a radius of 4.
The equation of the circle in the standard form is:
(x + 13)² + (y - 13)² = 4².
What is defined as the equation of the circle?The equation for a circle with (h, k) center and radius r is as follows:(x - h)² + (y - k)² = r².This is the equation's standard form. And thereby, if we learn the coordinates of the circle's center and radius, we can quickly find its equation.For the given question;
The centre of the circle lies at (-13, 13).
Thus, (h. k) = (-13, 13).
The radius 'r' of the circle is 4 units.
Put the values in the standard form.
(x - (-13))² + (y - 13)² = 4²
(x + 13)² + (y - 13)² = 4² is the (standard form)
Therefore, the equation of the circle with radius 4 in the standard form is represented as: (x + 13)² + (y - 13)² = 4²
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The table below represents the amount, in grams, of a substance remaining after t years.
Answer:
D
Step-by-step explanation:
The equation we'd use for this problem is y=a(1-b)^x (exponential decrease)
a is the initial amount, the number in the parentheses is the amount it decreases by, and x is time.
The initial amount is 8,500 since that is what we start with after 0 years. By looking at the chart we can see that the number decreases over time by a constant rate of .5, so that is the number in the parentheses. You then end the equation with ^t since t would be time in years
:D
Evaluate.
10/1⋅(−4)
Enter your answer in the box.
Answer:
Step-by-step explanation:
-40
How can the graph rule y=2x+1 be used to predict the result for an input (x-Value) of 7
The value of y for the given input x=7 is 15.
The given function is y=2x+1.
We need to graph the given function.
How to graph the given function?Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, need some skill and some mathematical concepts to understand.
Now,
Graph the line using the slope and y-intercept, or two points.
Slope: 2
y-intercept: (0, 1)
Plot the points (0, 1) and (1, 3)
The value of y for x=7 is y=2(7)+1=15
Therefore, the value of y for the given input x=7 is 15.
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The following addition problem is not correct if the numbers are interpreted as base 10. In what number base is the problem correct? 66 87 85 48
The base is 24.
Let the base be b. we know that b>8
If we added everything, it would look something like this:
66 + 87 + 85 + 48
=132
Adding up the one's digit gives us 26, so we have 26 mod b=2
The only options for b are b = 12 or 24.
If b = 12, the sum of the one's digit would be [tex]22_{12}[/tex] so we could carry the 2 to the tens column. Adding everything up would give us [tex]24_{12}[/tex] the answer is [tex]242_{12}[/tex]
That means the base is 24.
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Simplify m7m−4.
please please helpppp
Answer:
[tex]m^8-4[/tex]
Step-by-step explanation:
[tex]Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4[/tex]
Which choice is a term in this expression? 3x − 7(x + 4)
The term in the given expression is -3x − 7(x + 4) (A) -3x.
What exactly do we mean by expressions?A finite combination of symbols that is well-formed according to context-dependent rules is referred to as an expression or mathematical expression.A mathematical expression is a phrase that has at least two numbers or variables, at least one mathematical operation, and at least one mathematical operation.Addition, subtraction, multiplication, and division are all considered math operations.The structure of an expression is as follows: An expression is (Number/variable, Math Operator, Number/variable).Term:
Terms are expression parts that are separated by + or - signs.Because it is separated from the rest of the expression by a - sign, -3x is a term.Therefore, the term in the given expression is (A) -3x.
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The correct question is given below:
Which choice is a term in this expression? -3x − 7(x + 4)
x^4 - 5x^2 + 6 = 0
solve using quadratic formula
PLEASE SHOW WORK
Simplify the expression
3/2(4f-10)
Answer:
6f-15
Step-by-step explanation:
First distribute 3/2.
3/2(4) =6
3/2(-10) =15
So, the answer should be 6f-15.
Let me know if you do not understand or need further explanation :)
Problem 12 how do u do this
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's set up some equations based on the information given:
You purchased a desk for 60% of the original price, p[tex]\hookrightarrow \text{60 percent of p} = \frac{60}{100} *p=0.6p[/tex]
The price that you paid is $32 less than your paid is:[tex]\hookrightarrow \text{'32 less than p'} = p-32[/tex]
Therefore:
[tex]\hookrightarrow \text{You paid '0.6p' or 'p - 32'}[/tex]
[tex]\hookrightarrow \text{The equation is } '0.6p = p-32'[/tex]
[tex]0.6p=p-32\\p-0.6p=32\\0.4p=32\\p = 80[/tex]
Answer:
Equation: 0.6p = p - 32Original Price of desk: $80Hope that helps!
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Which is an expression of degree 4 which has a leading coefficient of 9 and a
quadratic term with coefficient of 10.
3
A. 9x² + 2x³ + 10x²
B. 10x + 2x³ + 9x²
C. 10x² + 9x + 4
2
D. 4 + 9x + 10x
Answer:
None of those answers contain a polynomial of degree 4. None have a leading coefficient of 9.
Step-by-step explanation:
The degree of such a polynomial is equal to the highest exponent on x.
The leading coefficient is the coefficient for the highest exponent of x.
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£124
Step-by-step explanation:
first of all, you're meant to add all the figures given on the pie chart, which is 29+137+58+62+74 and that will give you a total of 360 degrees
so, you say 360 degrees is equal to the total amount of money he spent, which is £720, what about 62 degrees
therefore, you just do (62×720)÷360
that will give you £124
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day workec second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to after how many days, d, Danae would make the same amount of money regardless of the job she choose
Answer: 120d + 1,500 = 110d + 2,500
Step-by-step explanation:
Answer:
$1,500 + 120d = $2,500 + 110d
Step-by-step explanation:
Just in case you want the solution as well:
10d = 1000
d = 100
For the women age 18-24 in hanes2, the average height was about 64.3 inches; the sd was about 2.6 inches. using the normal curve, estimate the percentage of women with heights
Z = 0.65 for a height of 66 inches.
What is Normal Probability Distribution?The most common continuous probability distribution is the Normal (or Gaussian) distribution. As the curve approaches zero on either side of the mean, the function calculates the likelihood that an event will fall between any two real number limits. The area beneath the normal curve is always one.To find Normal Probability Distribution:
The z-score formula can be used to solve normal distribution problems.The z-score of a measure X in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:[tex]Z=\frac{X-\mu}{\sigma}[/tex]The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the probability that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that the measure's value is greater than X.The average height was approximately 64.3 inches, with a standard deviation of approximately 2.6 inches.It means: [tex]\mu=64.3, \sigma=2.6[/tex]66 inches :
The z-score for a 66-inch height is:[tex]\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&Z=\frac{66-64.3}{2.6} \\&Z=0.65\end{aligned}[/tex]Therefore, Z = 0.65 for a height of 66 inches.
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The complete question is given below:
For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
Determine the value of x.
The photo is not visable, can you type the question iin the comments I WILL solve it :)
25,952,938 rounded to hundred thousands place
Answer:
26,000,000
Step-by-step explanation:
I had that question before
Answer:
26,000,000
Step-by-step explanation:
9 is the hundred thousand digit starting from behind .
So, you start rounding up from 9.
At Zoe's Beading Boutique, 15 out of the 20 beads on clearance are plastic. What percentage
of beads on clearance are plastic?
Write your answer using a percent sign (%).
Submit
+
Work it out
Answer:
75%
Step-by-step explanation:
15 over 20 is equal to 3/4 and 3/4 is 75%
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
the ratio of wins to losses to ties for yan's soccer team at was 3:2:1. if the team played 18 games, how many games did they win? Show your work.
Answer:
9
Step-by-step explanation:
Let the ratio's unit be x. We have:
3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!
coefficients, and constants
g+12 +9g
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
g + 12 + 9g
Add the like terms.
10g + 12
Now,
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
Thus,
The coefficient is 10.
The constant is 12.
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