four times the sum of g+6 is equal to thirty-six what is the value of g? huh
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Related Questions
The cost of annual tution at a university increased from $10,500 to $11,300. what is the percent increase in tution to the nearest tenth of a percent? solution and answer
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800/10,500 x 100 = 7.6%
If cost of annual tution at a university increased from $10,500 to $11,300.Then 7.61% increase in tution to the nearest tenth of a percent
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
The cost of annual tution at a university increased from $10,500 to $11,300.
We need to find what percentage increase in tution.
Firstly we have to check how much increased.
11300-10500
800
Hence 800 is increase.
We have to check what is 800 percentage in 10500
percent increase=change/original
origianal=10500
change=800
800/10500=8/105=0.0761
By the definition of percentage we know percent means parts out of 100
0.0761×100=7.61%
Hence 7.61% is the increase in tution to the nearest tenth of a percent.
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what is the slope? 0 or undefined
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It is undefined when the line is vertical.
A dress that retails for 160 dollars was on sale 96 dollars by what percent was the dress discounted?
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@ajaylounsber Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month than the month before. She ended up saving $19,779.00. How much more did she save each month?,
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Each morning papa notes the birds feeding on his bird feeder. so far tis month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal. if 300 birds list papa's birdfeeder, how many blue jays can we expect to see?
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First, we need to determine the percent of blue jays that he typically sees.
59 + 68 + 12 + 1 = 140 He saw a total of 140 birds.
59 of them were blue jays. So 59 / 140 = 42% of the birds were blue jays.
Multiply 300 by 42% and we have an expected number of 126 blue jays.
Help plz and explain. ..........
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in the picture. If you need any clarification, just ask in the comments.
Briyana has a $500 bond with a 6% coupon. Briyana purchased this bond for $460. What is the yield of this new bond?
A. 6%
B. 4.6%
C. 6.3%
D. 6.5%
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To find the yield, we first need to multiply the value of the bond by the coupon percent. This is the amount paid to the bond holder.
500 x 0.06 = 30
So Briyana earned $30 on a bond that cost her $460.
30 / 460 x 100 = 6.5%
Answer:
The correct answer is: 6.5%
Step-by-step explanation:
Match the following items. In the figure below, several reflections are illustrated. Note one line of symmetry is m and one is l. Pay close attention to the line of reflection being indicated by R l and R m.
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This means that the line of symmetry is line I.
[tex]R_m[/tex]
This means that the line of symmetry is line m.
1. [tex]R_I:T[/tex]
This matches with Q.
In this number, the line of symmetry is I. If you reflect T across line I, you will get point Q. This is because they are right across from each other with line I between them, and they are both the same distance from line I.
2. [tex]R_I:S[/tex]
This matches with S.
Point S lies on the line of symmetry; thus, S reflects itself.
3. [tex]R_I:Z[/tex]
This is similar to number 1. If you reflect Z across line I, you will get point X because they are directly across each other with line I between them and they have the same distance from the line of symmetry.
4. [tex]R_m:S[/tex]
This time, S isn't on the line of symmetry. The line of symmetry is the vertical line m. Point Y matches with point S because they are directly across each other with line m between them. They are also the same distance apart from line m.
5. [tex]R_I:B[/tex]
This is very similar to number 1. This matches with F. The point directly across the line of symmetry is F.
6. [tex]R_I:F[/tex]
This is the exact same as number 5! With the same line of symmetry, B matched with F. Thus, F must match with B!
Here are the matches:
3-X
5-F
6-B
4-Y
1-Q
2-S
In this set, the points reflect across the indicated lines of symmetry. Matches are as follows: 3 corresponds to X, 5 to F, 6 to B, 4 to Y, 1 to Q, and 2 to S.
R_I
This means that the line of symmetry is line I
R_m
This means that the line of symmetry is line m.
1. R_I:T
This matches with Q.
In this number, the line of symmetry is I. If you reflect T across line I, you will get point Q. This is because they are right across from each other with line I between them, and they are both the same distance from line I.
2. R_I:S
This matches with S.
Point S lies on the line of symmetry; thus, S reflects itself.
3. R_I:Z
This is similar to number 1. If you reflect Z across line I, you will get point X because they are directly across each other with line I between them and they have the same distance from the line of symmetry.
4. R_m:S
This time, S isn't on the line of symmetry. The line of symmetry is the vertical line m. Point Y matches with point S because they are directly across each other with line m between them. They are also the same distance apart from line m.
5. R_I:B
This is very similar to number 1. This matches with F. The point directly across the line of symmetry is F.
6. R_I:F
This is the exact same as number 5! With the same line of symmetry, B matched with F. Thus, F must match with B!
Here are the matches:
3-X
5-F
6-B
4-Y
1-Q
2-S
Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings: f(1) = 35, f(n) = f(1) + f(n-1) for n > 1 f(n) = 35n Which one of these formulas show the sequence written rercursively and which shows it written explicity? Justify your explanantions. Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations. Use the explicit formula to demonstrate the most direct method to find f(40). Explain why you chose that method and what your answer means. Show your calculations. Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.
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f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
The value of f(40) is 1400 .The sequence can be considered a function because each position has a unique value.
Let's analyze the given formulas for Bill's savings:
The recursive formula is: f(1) = 35, f(n) = f(1) + f(n-1) for n > 1
The explicit formula is: f(n) = 35n
A recursive formula defines each term based on the previous terms, which we see in f(n) = f(1) + f(n-1). An explicit formula provides a direct calculation, shown in f(n) = 35n.
Recursive Formula Table for 1 ≤ n ≤ 5n = 1: f(1) = 35n = 2: f(2) = 35 + f(1) = 35 + 35 = 70n = 3: f(3) = 35 + f(2) = 35 + 70 = 105n = 4: f(4) = 35 + f(3) = 35 + 105 = 140n = 5: f(5) = 35 + f(4) = 35 + 140 = 175Using the Explicit Formula to Find f(40)The explicit formula f(n) = 35n allows us to directly calculate:
f(40) = 35 * 40 = 1400
This method is chosen because it provides a straightforward calculation without needing to compute all the preceding values.
Analyzing the Sequence 5, 6, 8, 11, 15, 20, 26, 33, 41, ...This sequence can be considered a function because each input (position in the sequence) has a unique output (value in the sequence).
A shipping tube is shaped like a triangular prism. The bases are equilateral triangles with edges of 6 inches and a height of 5.2 inches. The tube is 14 inches long. Find the lateral surface area of the shipping tube.
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The lateral surface area of the equilateral triangular prism shaped shipping tube is 252 square inches.
Explanation:The question pertains to the calculation of the lateral surface area of a triangular prism shaped shipping tube, more specifically an
equilateral triangular prism
. The lateral area of a triangular prism can be calculated using the formula: Perimeter of the base x length of the prism. Here, the base of the prism is an equilateral triangle, so the perimeter of the base will be 3 x the length of one edge, which in this case is 3 x 6 inches = 18 inches. The length of the prism is given to be 14 inches. Hence, by substituting these values into the formula, the lateral surface area = 18 inches x 14 inches =
252 square inches.
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Which transformations will produce similar, but not congruent, figures?
Triangle PQR is reflected across the x-axis and then rotated 90° clockwise to form triangle P"Q"R" .
Triangle PQR is rotated 90° clockwise and then reflected across the y-axis to form triangle P"Q"R" .
Triangle PQR is rotated 180° counterclockwise and then translated 11 units left to form triangle P"Q"R" .
Triangle PQR is reflected across the y-axis and then dilated by a scale factor of 6 to form triangle P"Q"R" .
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The reason why is because any time you have a dilation with a scale factor other than 1, then the resulting figure is either bigger or smaller compared to the original. If two figures of the same shape are different sizes, then they cannot be congruent. The other transformations of rotation, reflection and translation are what we call rigid transformations. They preserve the size leading to keeping the figures congruent.
Answer:
hello the answer is choice D
Step-by-step explanation:
The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. A dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. This segment has a length of 8 centimeters. The angle formed by the edge and the segment measure 60 degrees. What is the area of the base of the pyramid? Enter your answer in the box. Express your answer in radical form.
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The area of the base of the pyramid which is a hexagon with given parameters is; 96√3
How to find the area of a Polygon?We are told that the base of the pyramid is a hexagon.
Now, from the given image we can find the base length of the right angle triangle from trigonometric ratio which is;
x/8 = cos 60°
x = 8 cos 60°
x = 4
Thus, length of side of hexagon is;
s = 4 * 2
s = 8
Formula for area of hexagon is given by;
A = ((3√3) * s²)/2
Where;
s is length of a side of hexagon
A = ((3√3) * 8²)/2
A = 96√3
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Which of the following is the image of C after a rotation of 180° about the origin?
(-5, 2)
(-5, -2)
(-2, 5)
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Answer:
Option A.(-5, 2).
Step-by-step explanation:
Picture attached in the question we know the coordinates of the point C are (5, -2). Now we rotate C with a rotation of 180° about the origin.
As we can see a line connecting C and a new point C'. This line shows the rotation of the poit by 180°.
Therefore the new coordinates of C will be C'(-5, 2).
Option A is the correct option.
What is the equation of the line?
A) x + 3y = 9
B) 3x - y = 9
C) x - y = 9
D) 3x + y = 9
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The answer is D.
Since the y intercept of the equation is 9 and the slope is negative 3, after multiplying the entire equation by -1, we will get D.
Hope this helps!
Which of the following equations can be used to solve for the radius (r)
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Answer:
The last option is the correct answer: [tex]r=\sqrt{\frac{A}{\pi}}[/tex]
Step-by-step explanation:
The area of a circle is given by :
[tex]A=\pi r^{2}[/tex] ; where r is the radius.
Now, lets find the radius.
[tex]\frac{A}{\pi } =r^{2}[/tex]
[tex]\sqrt{\frac{A}{\pi}} =r[/tex]
or [tex]r=\sqrt{\frac{A}{\pi}}[/tex]
Therefore, the last option is the correct answer.
Esther and Jim plan to add a pond to their property. The area of the pond is 11 square meters. What is the radius?
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What is the area of the polygon??
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lets divide the polygon into sections.
the longer rectangle at the bottom has a length of 24 by adding all the numbers
It also has a side width of 5, so 24x5=120.
Onto section 2, you can see the smaller rectangle on top has a length of 11
and width of 5, so 11x6=66. so in total 66+120=186. and that is the square units of this polygon
Hope this helped.
Multiply.
638 × 49
_____
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Is that what you're looking for?
△ABC is reflected to form △A′B′C′ . The vertices of △ABC are A(3, 1) , B(1, 5) , and C(6, 9) . The vertices of △A′B′C′ are A′(−1, −3) , B′(−5, −1) , and C′(−9, −6) . Which reflection results in the transformation of △ABC to △A′B′C′ ? reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
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Reflections can be across the x-axis meaning that the result of the image is going to be (x,y) to (x,-y), and across the y-axis where the preimage (x,y) would be reflect to result in the image of (-x,y).
Another to kinds of reflection are across the line y=x where preimage (x,y) results in the new point (y,x) and the reflection across the line y=-x where the transformation results in the preimage (-y,-x).
Is given that the triangle ABC was reflected to create the new triangle A'B'C'. The coordinates of the vertices of the triangle ABC are A(3,1), B(1,5), and C(6,9), the new vertices after the reflection of the preimage are A'(-1,-3), B'(-5,-1), and C'(-9,-6).
After the previous said, the transformation occur was a reflection across the line y=-x. You can check this answer by selecting a point, and then looking at the rule for this kind of reflection.
From an airplane at an altitude of 1200m the angle of depression to a rock on the ground measures 28. Find the distance from the plane to the rock
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thus
sin θ=opposite/hypotenuse
θ=28°
opposite=1200m
hypotenuse=h
thus
sin 28=1200/h
h=1200/sin 28
h=2556.065 m
The distance from the plane to the rock can be calculated using trigonometry. Here, the tangent of the given angle is used, with the formula: Distance = 1200m / tan(28°).
Explanation:The subject matter in the question relates to trigonometry. We can use the tangent of the given angle to find the distance to the rock. We are given an altitude of 1200m (which is equivalent to the opposite side in a right angle triangle) and an angle of depression of 28°. We know from trigonometry that the tangent of an angle is equal to the opposite side divided by the adjacent side (tan(θ) = opposite / adjacent).
Since we want to know the distance from the plane to the rock, we're trying to find the length of the hypotenuse. This forms a right-angled triangle with the height of the plane as the opposite side, and the line of sight to the rock as the hypotenuse.
We can use the following formula which is derived from the principles of trigonometry:
Distance to the rock (hypotenuse) = Opposite side / tan(θ)
Plugging the given values into this formula gives:
Distance to the rock = 1200m / tan(28°) This calculation will give the answer.
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If i give my sister 17 dollars, then we will have the same amount of money. if instead she gives me 23 dollars, then i'll have three times as much money as she will have. how much money does she currently have (in dollars)
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You= $97
The total number of dollars my sisters have is $60.
Given that, if I give my sister 17 dollars, then we will have the same amount of money.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of dollars I have be x and number of dollars my sisters have be y.
Now, if I give my sister 17 dollars, then we will have the same amount of money
y-17 = x
x - y = -17 ---------(1)
If she gives me 23 dollars, then I'll have three times as much money as she will have.
3(x-23) = y
3x-69 = y
3x-y = 69 ---------(2)
Subtract equation (1) from (2)
3x-y-(x-y) = 69 - (-17)
⇒ 2x = 86
⇒ x = $43
Put x = 43 in equation (1), we get
43 - y = -17
43+17 = y
y = $60
Therefore, the total number of dollars my sisters have is $60.
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What is the slant height x of the square pyramid? Enter your answer in the box, express your answer in radical form.
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hypotenuse of the triangle.
Angle between the base of the triangle and the hypotenuse.
We want to find the height of the triangle.
For this, we use the following trigonometric relationship:
[tex]sine (60) = x / 8 [/tex]
From here, we clear the value of x.
We have then:
[tex]x = 8 * sine (60) x = 6.93 m[/tex]
Answer:
The inclined height of the pyramid is given by:
x = 6.93 m
Select the locations on the number line to plot the points 4 1/ 3 and −1 1/3 .
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4 1/ 3
−1 1/3
the answer in the attached figure
Answer:
The locations of given number are shown on the below number line.
Step-by-step explanation:
The given numbers are
[tex]4\dfrac{1}{3} and -1\dfrac{1}{3}[/tex]
We need to plot these points on the given number line.
In the given number write the integers -4,-3,-2,-1,0,1,2,3,4 on points indicated and two sub point between two consecutive points divides the line in three equal parts.
[tex]4\dfrac{1}{3}=4+\dfrac{1}{3}[/tex]
It means [tex]4\dfrac{1}{3}[/tex] lies next to 4 on right side.
[tex]-1\dfrac{1}{3}=-(1+\dfrac{1}{3})=-1-\dfrac{1}{3}[/tex]
It means [tex]-1\dfrac{1}{3}[/tex] lies next to -1 on left side.
Therefore, the locations of given number are shown on the below number line.
There were some pencils in a pencil box. Zoe added 7 more pencils to the pencil box. Now there are 24 pencils in the box. How many pencils were in the box to start with?
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24 - 7 = 17.
There were 17 pencils in the box to start with.
being the equation stated
X+7=24
X being the number of pencils before added
To find the answer just do the opposite
24-7=X
and X=17
If you take Coleman's test grade and divide by 2 and add 27, you get 67. Write and solve an equation to find Coleman's test grade.
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To find Coleman's test grade, set up the equation x/2 + 27 = 67, solve for x by first subtracting 27 and then multiplying by 2 to get x = 80.
Explanation:The student is asking to find Coleman's test grade given that if you take Coleman's test grade, divide by 2, and add 27, the result is 67. To solve for Coleman's test grade, we can set up an equation where Coleman's test grade is represented by x. The equation based on the provided information would be x/2 + 27 = 67. We can solve for x by first subtracting 27 from both sides of the equation to get x/2 = 40, and then multiplying both sides by 2 to find x. Therefore, x = 80, which means Coleman's test grade is 80.
To find Coleman's test grade, we can set up an equation: (x/2) + 27 = 67. By solving this equation, we find that Coleman's test grade is 80.
Explanation:To find Coleman's test grade, we can set up an equation using the information given. Let's represent Coleman's test grade as 'x'. We have the equation: (x/2) + 27 = 67.
To solve this equation, we need to isolate 'x'. We can start by subtracting 27 from both sides of the equation: (x/2) = 40.
Next, we need to get rid of the fraction by multiplying both sides of the equation by 2: x = 80.
So Coleman's test grade is 80.
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a computer. The original cost of the computer is $750.00. The computer is on sale for a 20% discount off of the original cost. The sales tax is 4% of the sale price. After purchasing the computer, how much does Hakim have left in his bank account? Show your work.
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Each of the steps is shown in the attached work.
He will have $111 left is his account.
15. A restaurant has one type of milk that has 2% fat and another that has 7% fat. how many quarts of each type does the restaurant need to make 40 quarts of a milk mixture that is 5% fat?
a. 24 quarts of the 2% milk and 16 quarts of the 7% milk
b. 16 quarts of the 2% milk and 24 quarts of the 7% milk
c. 16 quarts of the 2% milk and 16 quarts of the 7 milk
d. 24 quarts of the 2% milk and 24 quarts of the 7% milk,
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How to find the derivative of a fraction without using the quotient rule?
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(u/v)'=(u*v^(-1))'=u'*v^(-1)+u*(-1)*v^(-2)*v'=u'/v-u*v'/v²=(u'v-uv')/v²
Final answer:
To find the derivative of a fraction without using the quotient rule, you can use the chain rule and the product rule.
Explanation:
To find the derivative of a fraction without using the quotient rule, you can use the chain rule and the product rule. Here's an example:
Let's differentiate the function f(x) = (3x + 2) / (2x + 1).
First, identify the numerator and the denominator. In this case, the numerator is 3x + 2 and the denominator is 2x + 1.Apply the product rule by differentiating the numerator and the denominator separately. The derivative of the numerator is 3, and the derivative of the denominator is 2.Next, apply the chain rule by multiplying the derivative of the numerator by the denominator, and subtracting the derivative of the denominator multiplied by the numerator. In this case, the derivative of f(x) is (3 * (2x + 1) - (2 * (3x + 2))) / ((2x + 1)^2).Simplifying further, the derivative of f(x) is (6x + 3 - 6x - 4) / ((2x + 1)^2) = -1 / ((2x + 1)^2).
Given the arithmetic sequence an = −3 + 9(n − 1), what is the domain for n? all integers where n ≥ 1 all integers all integers where n ≥ 0 all integers where n > 1
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Explanation:
Since this is a sequence, n represents the term number, which is the position in the sequence. We start counting terms of a sequence beginning with term #1, and continue using integers; this means the domain will be all integers greater than or equal to 1.
How do you prove cotx/(cscx-sinx)=secx