Answer:
an = a(n-1) - 7
Step-by-step explanation:
the second term is smaller than the first term 7.
a20 = a19 - 7
a19 = a18 - 7
=> a20 = (a18 - 7) - 7
Then you can accumalate until a1
-> a20 = a1 - 19*7 = 86 - 19*7 = -47
For what value of x does 3 superscript 2 x baseline = 9 superscript 3 x minus 4?
Equations are expressions separated by equal sign. The value of x that make the expression equal is 2
Equation and expressionsGiven the equation expressed as:
3^2x = 9^3x - 4
This can be further simplified as:
3^2x = 3^2(3x-4)
2x = 2(3x - 4)
x = 3x - 4
x - 3x = -4
-2x = -4
x = 2
Hence the value of x that make the expression equal is 2
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Answer: its 2
Step-by-step explanation: just took test on chrome 2022, and got 100%
help pls!!!! ASAPPPPPP
Answer:eht sistep 2 and step 4 is the correct answer
Step-by-step explanation:
Tell wether the angles are complementary or supplementary. Then find the value of X
Answer:
The angles are Complementary Angles.
x = 55°
Step-by-step explanation:
the angles are Complementary Angles, because when added, together they form a 90° angle.
•to find the value of x, we form the equation :
⇒90° = x° + (x - 20)°
⇒90 = x + x - 20
⇒90 = 2x - 20
•shifting the 2x to the left side and the 90 to the right side
⇒2x = 90 + 20
⇒2x = 110
•shifting the 2 to the right side
⇒x = 110/2
⇒x = 55° Answer...
hope that helps...
Can someone please help me with this?? Thanks :)
Answer:
m<2=60
m<1=120
m<3=120
Step-by-step explanation:
Since m<4=60 that transfers to m<2 also because they are equal. To find the other to angles you have to subtract 60 from 180 because m<1 and m<4 create a straight line that equals 180. That then also transfers to m<3.
Thank you have an amazing day.
help pleaseeeeee will ark brainliest
Answer:40
Step-by-step explanation:
Your correct and final answer for this question is 40
(✿◕‿◕✿) Pls mark me Brainiest (✿◕‿◕✿)
Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?
Abby will use a different formula for calculating the standard deviation.
The outlier will increase the standard deviation of the data set.
The spread of the graph of the data will not change.
Abby will not use the mean when calculating the standard deviation.
When Abby finds that one value of the data set is a high-value outlier, the true statement is B. The outlier will increase the standard deviation of the data set.
What is an outlier?It should be noted that an outlier simply means a number in a data set that is further out from the other numbers.
In this case, when Abby finds that one value of the data set is a high-value outlier, the true statement is that the outlier will increase the standard deviation of the data set.
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Answer:
The outlier will increase the standard deviation of the data set.
Step-by-step explanation:
Drag each pair of rates to the correct location on the table.
Identify the pairs of rates as equivalent or not equivalent
hand
18/3 and 9/1
20/5 and 3/1
36/6 and 6/1
32/4 and 8/1
35/7 and 5/1
100/10 and 5/1
1/8 is in it 3/2 if that is it
Which statement about the function is true? the domain of the function is all real numbers less than or equal to −2. the domain of the function is all real numbers less than or equal to 9. the range of the function is all real numbers less than or equal to −2. the range of the function is all real numbers less than or equal to 9.
The statement which is true about the function is the range of the function is all real numbers less than or equal to 9.
What is domain and range of function?
The Domain of a function is the set of all the possible input values which are valid for that function.
Range of a function is the set of all the possible output values which are valid for that function.
The function shown in the graph can be given as,
[tex]f(x)=-x^2-4x+5[/tex]
The one coordinate point of this equation is -2, 9, which is shown in the graph. At the value of x as -2, the value of f(x) is 9,
[tex]f(-2)=-(-2)^2-4(-2)+5\\f(-2)=-4+8+5\\f(-2)=9[/tex]
Here, the input value is -2 and the output value is 9. The domain for this function is all real number, but the range of this function is (-∞,9).
Hence, the statement which is true about the function is the range of the function is all real numbers less than or equal to 9.
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Answer:
its literally D bro on edge
Step-by-step explanation:
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Tino works at a retail clothing store as a sales clerk and part of his paycheck is based on commission, meaning that it is determined by the value of the clothes that he sells. Each week, he earns $7 an hour plus 15% of his total sales. If Tino works for 18 hours and sells $538 in clothes in a certain week, what is the amount of his commission? What is his total pay for that week?
Answer:
$206,7
Step-by-step explanation:
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0)? x squared over 12 minus y squared over 24 equals 1 x squared over 12 minus y squared over 48 equals 1 y squared over 12 minus x squared over 24 equals 1 y squared over 48 minus x squared over 12 equals 1
The equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.
What is the equation of hyperbola?The equation of the hyperbola is the equation which is used to represent the hyperbola in the algebraic equation form, with the value of center point in the coordinate plane and foci.
The standard form of the equation of the hyperbola can be given as,
[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=r^2[/tex]
Here (h,k) is the center of the hyperbola, (b) is the transverse axis, and (a) is the conjugate axis.
The foci of the hyperbola is,
[tex](h,k\pm c)[/tex]
The directrix is,
[tex]y=k\pm \dfrac{a^2}{c}[/tex]
A hyperbola is given with directrices at x = ±2 and foci at (6, 0) and (−6, 0). Thus, the directrix is,
[tex]y=k\pm \dfrac{a^2}{c}\\\pm 2=k\pm \dfrac{a^2}{c}\\\dfrac{a^2}{6}=2\\a^2=12\\[/tex]
It is known that,
[tex]a^2+b^2=c^2\\[/tex]
Put the value of a and c,
[tex](12)+b^2=6^2\\b^2=36-12\\b^2=24[/tex]
The value of center is (0,0). Thus, the equation of hyperbola is,
[tex]\dfrac{(y-0)^2}{24^2}-\dfrac{(x-0)^2}{12^2}=1\\\dfrac{y^2}{24^2}-\dfrac{x^2}{12^2}=1[/tex]
Thus, the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.
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The square of a number added to 3 times the number is 28. Find the number.
Answer:
[tex]\sqrt{x}[/tex]+3x=28
that is the equation :)
what is the slope of a line
(a) where the line crosses at the y-axis
(b) the amount the line rises on the y-axis over the amount it moves horizontally on the x-axis
(c) where the line crosses at the x-axis
(d) where the line begins
Answer:
the answer is (b), because
Step-by-step explanation:
rise over run
Answer:
B
because I
saw someone else say it was b
Step-by-step explanation:
I'm smart
Jose is starting a word-processing business out of his home. He plans to charge $15 per hour. He anticipates his monthly expenses to be $490 for equipment rental, $45 for materials, and $65 for phone usage. What is the minimum number of hours he must work in a month to make a profit of at least $600?
Answer:
80
Step-by-step explanation:
profit = revenue - expenses
revenue = $15 per hour = $15 * number of hours (n) = $15 * n
expenses = $490 + $45 + $65 = $600
we want profit to be 600 or more
15 * n - 600 = profit
profit ≥ 600
15 * n - 600 ≥ 600
add 600 to both sides to isolate the variable and its coefficient
15 * n ≥ 1200
divide both sides by 15 to isolate the variable
n ≥ 80
Jose must therefore work 80 or more hours, for a minimum of 80
Mr.Santino needs A total of 406 Forks restaurant. He currently has 302 forks. If each cell has 12 forks which is the minimum number of sets of forks you should buy?
Which statement describes the expression 20+ ½ x (4 + 6) ?
A. Half of 4 added to six, Plus 20
B. The sum of 4 and 6 plus half of 20
C. Half the sum of 4 and 6 added to 20.
D. The sum of 4 and 6 plus 20 divided by 2
HELP ME
Gia collected data on the weights, in ounces, of five newborn puppies. The weights are shown in the list below.
5, 6, 7, 11, 11
Which statement regarding the mean, median, and range of the weights of the puppies is true?
Group of answer choices
The median is greater than the mean, and the range is 6.
The mean is greater than the median, and the range is 6.
The median is greater than the mean, and the range is 11
The mean is greater than the median, and the range is 11.
Answer:Mean is greater than the median and the range is 6
Step-by-step explanation: Mean is the average 5+6+7+11+11/5 = 8
Mode is the number occurring most 11
Median is the middle number 7
Range is the highest -lowest 11-5=6
Answer: Mean is greater than the median and the range is 6.
A circle is centered at (7,8). The point (11,8) is located on the lip of the circle. Write the equation for this circle.
The center of the circle is (7,8) and the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
How to determine the equation of the circle?The given parameters are:
Center (a,b) = (7,8)
Point (x,y) = (11,8)
Calculate the radius (r) using:
[tex]r = \sqrt{(x- a)^2 + (y - b)^2}[/tex]
So, we have:
[tex]r= \sqrt{(11- 7)^2 + (8 - 8)^2}[/tex]
Evaluate the expression
[tex]r = 4[/tex]
The circle equation is then calculated using:
[tex](x- a)^2 + (y - b)^2 =r^2[/tex]
So, we have:
[tex](x- 7)^2 + (y - 8)^2 = 4^2[/tex]
Evaluate the exponent
[tex](x- 7)^2 + (y - 8)^2 = 16[/tex]
Hence, the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
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Help me on this inequality please!
Answer:
w ≤ 5
Step-by-step explanation:
-2w ≥ -10
-2w / -2 ≥ -10 / -2
The -2 cancels each other out and -10 divided by -2 is 5. When divding an inequality by a negative number you MUST flip the sign.
w ≤ 5
I’m really stuck on this question
Answer:
The answer is 13
Step-by-step explanation:
Subtract
98 - 85 =
13°
Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table. $15 $15 $22 $14 $12$24 $16 $25 $15 $15 Match the measures with their values. 13 12 22 15 7 third quartile interquartile range first quartile range
The interquartile range = Third quartile - First quartile = 22 - 15 = 7
The range = 25 - 12 = 13
What is the Interquartile Range (IQR) and Range ofa Data?Range = largest data value - the least data value
Interquartile range = Q3 - Q1
Given the following weekly allowance of Sean's classmates as, 15, 15, 22, 14, 12, 24, 16, 25, 15, 15:
Third quartile (Q3) = 22
First quartile (Q1) = 15
Interquartile range = 22 - 15 = 7
Range = 25 - 12 = 13
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Translate the point A (-3,4) right 5 up 1
Answer:
(2,5)
Step-by-step explanation:
-3+5=2 and 4+1=5
divide. give the quotient and remainder 295/4
Answer:73 and remainder of 3
Step-by-step explanation:
295/4=73 and a remiander of 3
Answer:
The quotient is 73 and the remainder is 3
Step-by-step explanation:
295/4 = 73.75 you can take 73 for the quotient. Then do 295 - 73*4 = 3 to calculate the remainder.
Think it likes 12/4 = 3 => 12 - 3*4 = 0
Abby used the law of cosines for trianglekmn to solve for k. k2 = 312 532 – 2(31)(53)cos(37°) triangle k n m is shown. the length of k n is 53, the length of n m is k, and the length of k m is n. law of cosines: a2 = b2 c2 – 2bccos(a) what additional information did abby know that is not shown in the diagram? manglek = 37° and n = 31 manglek = 37° and k = 31 manglen = 37° and n = 31 manglen = 37° and k = 31
Answer:
(A) mK = 37° and n = 31.
Step-by-step explanation:
The following are A of ed.
what is the area of a 14cm square?
Answer:
196 sq cm
Step-by-step explanation:
that's all I can say really
What is the length of the missing leg? If necessary, round to the nearest tenth
Answer: 48
Step-by-step explanation:
help! (answers needed fast and will give brainliest)
Answer:
13/20
Step-by-step explanation:
Note that:
Difference is the same meaning as subtract.
Given:
1 ¼ - ⅗
We first have to change 1 ¼ into a improper fraction:
1 ¼ = 5/4
5/4 - ⅗
Since the denominator are different we have to find common denominator.
25/20 - 12/20
Subtracting: 25 - 12 = 13
13/20
Hence, the different of these fractions is 13/20
Kavinsky
Help please!!! At a baseball game, a vender sold a combined total of 236 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
56 hotdogs, 168 sodas.
Step-by-step explanation:
# of sodas sold = s
# of hotdogs sold = h
224 sodas and hotdogs = s + h
3h = s
224 = h + s
Plug in one equation into the other one, like 3h = s into h + s
h + s = 224 and s = 3h so...
h + (3h) = 224
4h = 224
h = 224/4 = 56
56 hotdogs were sold
And since s = 3h...
The number of sodas sold is 3 times 56 = 168 sodas.
56 hotdogs, 168 sodas.
Answer:
56 hotdogs, 168 sodas.
Step-by-step explanation:
have great day
Find the missing length of the triangle.
a= in.
Answer:
9 in.
Step-by-step explanation:
a^2 + 5.6^2 = 10.6^2
a^2 + 31.36 = 112.36
Subtract 31.36 from both sides
a^2 = 81
Squart Root both sides
a = 9 inches
Answer:
a = 11.9883 in
Step-by-step explanation:
Sides:
a = 5.6 in
b = 11.9883 in
c = 10.6 in
Angles:
A = 27.8476 °
B = 90 °
C = 62.1524 °
Other:
P = 28.1883 in
s = 14.0942 in
K = 29.68 in2
r = 2.10584 in
R = 5.99416 in
SAS is Side, Angle, Side
Given the size of 2 sides (c and a) and the size of the angle B that is in between those 2 sides, you can calculate the sizes of the remaining 1 side and 2 angles. Use The Law of Cosines to solve the remaining side.
Law of Cosines
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:
a^2 = c^2 + b^2 - 2bc cos A, solving for cos A, cos A = ( b^2 + c^2 - a^2 ) / 2bc
b^2 = a^2 + c^2 - 2ca cos B, solving for cos B, cos B = ( c^2 + a^2 - b^2 ) / 2ca
c^2 = b^2 + a^2 - 2ab cos C, solving for cos C, cos C = ( a^2 + b^2 - c^2 ) / 2ab
Solving, for example, for an angle, A = cos^-1 [ ( b^2 + c^2 - a^2 ) / 2bc ]
Please help will give brainliest to whoever explains their answer correctly
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: hii :)
Simplify the expression.
Step-by-step explanation: its c!Exact Form:
4/5
Decimal Form:
0.8
Hopefully this helps you
- Matthew <3