The rule for pattern is ad 6.The first term is 5. The first term is 5.Write the first Five terms in the patterns
Answer:
5, 11, 17, 23, 29
Step-by-step explanation:
5+6=11+6=17+6=23+6=29
Find x and y in the figures below
Answer:
There are no figures below...
Step-by-step explanation:
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
The answer is f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80
Evaluate a + b for a = 43 and b = -29.
HELP ME I ONLY HAVE 1 hourrr
Answer:
14
Step-by-step explanation:
Substitute the given values for a and b into the expression and evaluate
a + b = 43 + (- 29) = 43 - 29 = 14
Answer:
Step-by-step explanation:
a + b = 43 +(-29) =43-29 = 14
Write the equation in slope intercept form.
[tex]\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
[tex]y = \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
Given equation :-
[tex]y + 2 = \frac{1}{3} (x - 6)[/tex]
• Slope intercept form is
y = mx + c
where , m is slope of the straight line
and c is y intercept of the line !
Solving and simplifying the given equation ,
[tex]3y + 6 = x - 6 \\ \\ 3y = x - 6 - 6 \\ \\ 3y = x - 12[/tex]
[tex]y = \frac{1}{3} x - \frac{12}{3 } \\ \\ y = \frac{1}{3} x - 4[/tex]
So, m = 1/3 and c = ( -4 )
hence , the required slope intercept form of the equation is
[tex]y = \frac{1}{3} x - 4[/tex]
The sum of the numbers as a product of their GCF is ? The numbers are18+48
Answer:
Step-by-step explanation:
18=2×3×3
48=2×2×2×2×3
G.C.F.=2×3=6
18+48=66
6×11=66
the sum of 21and 4 doubled
Answer:
50
Step-by-step explanation:
21 + 4 = 25
25 × 2 = 50
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Which of the following is equal to the expression when x does not equal -2 or 3?
Answer:
at first we should simplify each equation by find its roots
(x^2+5x+6) =
(x+2) (x+3)
(x^2-x-6)=
(x-3) (x+2)
sox^2+5x+6÷x^2-x-6=
(x+2)(x+3)÷(x-3)(x+2)=
A(x+3) ÷(x-3)
Answer:
x+3/x-3
Step-by-step explanation:
I’d like for you to Show work please:)
What is the surface area of a sphere with a radius of 9 units?
The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).
Calculating the Surface Area of a Sphere
To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:
Surface Area = 4 (pi) (92)
Surface Area = 4 (pi) (81)
Surface Area = 324 (pi)
So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.
What is the image point of (-6, -9) after translation left 1 unit and down 5 units?
The original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
To find the image point after translating the point (-6, -9) left 1 unit and down 5 units, we subtract the translation values from the coordinates of the original point.
For the horizontal translation (left 1 unit), we subtract 1 from the x-coordinate:
New x-coordinate = -6 - 1 = -7
For the vertical translation (down 5 units), we subtract 5 from the y-coordinate:
New y-coordinate = -9 - 5 = -14
Therefore, the image point after the translation is (-7, -14).
This means that the original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
This translation is a geometric operation commonly used in mathematics and computer graphics to move objects or points in a coordinate plane.
Simplify the expression -3/8 -1/10
The answer would be "-3/8 + -1/10."
Simplify means to reduce so in this case we aren't solving the question we are reducing it into simpler terms.
[tex]-\frac{3}{8} -\frac{1}{10}[/tex]
According to the rules of KCC (Keep Change Change) you would have to turn the subtraction sign into a addition sign and make the positive 1/10 into a negative.
[tex]-\frac{3}{8} +-\frac{1}{10}[/tex]
The equation cannot be reduce no further therefore that would be your answer.
Hope this helps.
What is the slope of the line in the graph?
Answer:
The slope is 1
Step-by-step explanation:
Slope is change in y over change in x.
You have point (1,2) and point (0,1)
change in y = 2-1 = 1
change in x = 1-0 = 1
change in y over change in x = 1/1 = 1
One positive number is 3 times another number. The difference between the two numbers is 62. Find the numbers
Answer:
31
93
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
y = 3x
y - x = 62
3x - x = 62
2x = 62
2x/2 = 62/2
x = 31
y = 3x
y = 3*31
y = 93
Final answer:
To find two positive numbers where one is 3 times the other and their difference is 62, let one number be x, then solve the equation 3x - x = 62 to find the numbers 31 and 93.
Explanation:
To find the numbers:
Let one number be x, then the other number is 3x.
Form an equation: 3x - x = 62.
Solve for x: 2x = 62, x = 31.
So, the two numbers are 31 and 93.
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options. y = –Two-fifthsx – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –Two-fifths(x – 5) y – 4 = Five-halves(x + 5)
The three linear equations that represent the line perpendicular to the line 5x - 2y = -6 and passing through the point (5, -4) are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
Explanation:Firstly, to find a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line. The equation 5x - 2y = -6 can be rewritten in slope-intercept form (y = mx + b) as y = 2.5x + 3, so its slope is 2.5. The negative reciprocal of 2.5 is -2/5. Therefore, the slope of the line we are looking for is -2/5.
Secondly, a line passes through a given point (5, -4), so we can use the point-slope form of the equation, which is y - y1 = m(x - x1). By substituting the values, we get y - (-4) = -2/5 * (x - 5), which simplifies to y + 4 = -2/5 * (x - 5).
Lastly, to find other representations of the same line, the standard form of a linear equation is Ax + By = C. Converting y + 4 = -2/5 * (x - 5) to standard form gives us 2x + 5y = -10. So, the three equations that represent the line are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
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-7 1/3 written as a fraction is
- 10/3
- 21/3
- 22/3
Answer:
-22/3
Step-by-step explanation:
Multiply the whole number by the denominator, and then add the numerator to get the improper fraction.
How would you write 77.7% as a decimal?
Norma's credit card has an APR of 16%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
Norma's credit card balance at the end of the 7th month is $1,487.22.
How to solveCalculate the interest for each month.
Interest = (Previous month's balance * APR) / 12
Calculate the new balance for each month.
New balance = Previous month's balance + Purchases + Interest - Payments
Here's the calculation for each month:
Month 1:
Interest: 0 (No interest on the first month)
Balance: $500 + $0 = $500
Month 2:
Interest: ($500 * 0.16) / 12 = $6.67
Balance: $500 + $200 + $6.67 - $10 = $696.67
Month 3:
Interest: ($696.67 * 0.16) / 12 = $9.29
Balance: $696.67 + $300 + $9.29 - $20 = $986.29
Month 4:
Interest: ($986.29 * 0.16) / 12 = $13.15
Balance: $986.29 + $100 + $13.15 - $20 = $1079.44
Month 5:
Interest: ($1079.44 * 0.16) / 12 = $14.39
Balance: $1079.44 + $150 + $14.39 - $10 = $1233.83
Month 6:
Interest: ($1233.83 * 0.16) / 12 = $16.45
Balance: $1233.83 + $0 + $16.45 - $15 = $1235.28
Month 7:
Interest: ($1235.28 * 0.16) / 12 = $16.47
After all the computations, taking into consideration the amount spent and paid earlier,
Norma's credit card balance at the end of the 7th month has amounted to $1,487.22.
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Norma's credit card has an APR of 16%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below.
Month Purchases Payments
1 $500 $0
2 $200 $10
3 $300 $20
4 $100 $20
5 $150 $10
6 $0 $15
7 $250 $15
Calculate Norma's credit card balance at the end of the 7th month.
Answer: 389.46
Step-by-step explanation:
Add all payments received.
trust
Convert 2. 17 years into minutes
2.17 years is 1140552 Minutes
Answer:
wait do u want me to convert 17 years or 2.17 years
ill do both
17=8.935e+6
2.17=1140552
Step-by-step explanation:
Place the following in order from least to greatest. 74.6, -74.69,-74.069, 74.59
Answer:
-74.069, -74.69, 74.59, 74.6
Step-by-step explanation:
negative numbers are smaller than positives
Answer:
-74.69, -74.069, 74.59, 74.6
Step-by-step explanation:
What’s the answer to this problem?
In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.
[tex]120=158.36[/tex]
[tex]158.36-20=138.36[/tex]
[tex]138.36=104.87[/tex]
[tex]=104.87[/tex]
Therefore your answer is "104.87."
Hope this helps.
Answer:
130
Step-by-step explanation:
the answer is $130 because I really need points to ask a question, I recommend googling the question or googling the currency
How do you solve number eight?
44 + 37 + x = 180
x + 81 = 180
x = 180 - 81
x = 99
n + 99 = 180
n = 180 - 99
n = 81
x + (-y)= -y + x
What’s the property
hm
Step-by-step explanation:
I'd go with associative because its re grouping
Answer:
Step-by-step explanation:
the property is : a+b= b+a comutative for +
The product of 9 and x is less than or equal to -17
Answer:
9+x< -17
(make sure there's a line under the less than sign to make it work to)
Step-by-step explanation:
the product of 9 and x describes an addition problem, so it would be 9+x. after you put the less then or equal to sign and then -17.
Hope this helps
To solve the inequality 9x ≤ -17, divide both sides by 9 to find x ≤ -17/9, meaning x can be any value less than or equal to approximately -1.888.
The student's question pertains to an inequality in mathematics involving a variable x and requires an understanding of algebraic inequalities. To solve the inequality 9x ≤ -17, we need to isolate the variable x. We can do this by dividing both sides of the inequality by 9, which gives us x ≤ -17/9. It is important to note that dividing by a positive number does not change the direction of the inequality sign.
The value of x must satisfy this inequality, so any number less than or equal to -17/9 is a solution to the inequality. That means x could be -2, -3, or any other value that is less than or equal to approximately -1.888... (since -17/9 is a decimal approximation of -1.888...).
Write .46 as a fraction
a cone has a radius of 5 m and a height of 3 m.What is the volume of the cone?
Answer:
78.54 [tex]m^3[/tex]
Step-by-step explanation:
Use the formula for the volume of a cone of circular base with radius "R" and height "H", using the given values for the radius R (5 meters), and the cone's height (3 meters)
[tex]Volume= \pi R^2 \frac{H}{3} \\Volume = \pi 5^2 \frac{3}{3} m^3 = 78.539816.... m^3[/tex]
And we round the answer to two decimals:
Volume = 78.54 [tex]m^3[/tex]
Tn+1=35-2Tn, T1=5 what is T20?
Answer: 3,495,265
Step-by-step explanation:
[tex]T_{n+1}=35-2T_n\quad and\quad T_1=5, then\\T_{1+1}=35-2(T_1)\implies T_2=35-2(5)\implies T_2=25\\T_{2+1}=35-2(T_2)\implies T_3=35-2(25)\implies T_3=-15\\T_{3+1}=35-2(T_3)\implies T_4=35-2(-15)\implies T_4=65\\T_{4+1}=35-2(T_4)\implies T_5=35-2(65)\quad \implies T_5=-95\\T_{5+1}=35-2(T_5)\implies T_6=35-2(-95)\implies T_6=225\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow[/tex]
[tex]T_{18+1}=35-2(T_{18})\implies T_{19}=35-2(873,825)\implies T_{19}=-1,747,615\\T_{19+1}=35-2(T_{19})\implies T_{20}=35-2(-1,747,615)\implies T_{20}=3,495,265[/tex]
12x+7<-11 or 5x-8>40
Answer:
[tex]\large\boxed{x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}[/tex]
Step-by-step explanation:
[tex]12x+7<-11\qquad\text{subtrct 7 from both sides}\\\\12x+7-7<-11-7\\\\12x<-18\qquad\text{divide both sides by 12}\\\\\dfrac{12x}{12}<\dfrac{-18}{12}\\\\x<-\dfrac{18:6}{12:6}\\\\x<-\dfrac{3}{2}\\\\x<-1\dfrac{1}{2}\\===========================[/tex]
[tex]5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================[/tex]
[tex]x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}[/tex]
|-17|= how do you do this
Answer:
17
Step-by-step explanation:
anything in absolute value brackets is going to be positive. Absolute value is the distance of that specific number on the number line from 0. so ex: -3 is 3 units away from 0 so therefore, the answer is 3.
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y
Answer:
Well, there are x amounts of white flower and 6 cups of wheat flower.
So the total flower is x + 6
Given that is the total, the equation you would use is:
y=x+6
The constraints are as follows:
y can only be > 6
And if y=0, x would have to be -6 (which is impossible)
Answer:
D) y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
Step-by-step explanation:
Got it right on my test