A family pays $45 each month for cable television. The cost increases 7%.
a. How many dollars is the increase?
b. What is the new monthly cost?SHO
W YOUR WORK
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Hope this helped
Related Questions
Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°.
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The answer is: The triangle is a SCALENE Triangle.
As all the sides of the triangle are unequal. Therefore,it is a scalene triangle.
What are the 3 main types of triangles?
According to the length of sides, triangles can be classified into 3 categories i.e., Scalene, Isosceles, and Equilateral triangles.
A scalene triangle is a triangle in which all three sides are of different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.
An isosceles triangle is a triangle in which two sides have the same length.
An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle.
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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
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y-1=x-12
+1 +1
y=x-11
Paula has a digas that weighs 3 times as much as Carla's. The total weight of the dogs is 48 lb how much does Paula dog weigh. Draw a diagramar ti find the weighs of Pailas dog
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so the answer would be 16
Write the equation in spherical coordinates. (a) 4z2 = 5x2 + 5y2 (b) x2 + 3z2 = 4
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The transformation from the Cartesian coordinate system (x,y,z) to the spherical coordinate system (r,θ,φ) is given by
x = rsinφcosθ
y = rsinφsinθ
z = rcosφ
Part a.
The given equation is 4z² = 5x² + 5y².
In spherical coordinates, obtain
4r²cos²φ = 5r²sin²φ cos²θ + 5r²sin²φ sin²θ
= 5r²sin²φ(cos²θ + sin²θ)
= 5r²sin²φ
4/5 = tan²φ
tanφ = 2/√5 = (2/5)√5
Answer: tanφ = (2/5)√5
Part b.
The given equation is x² + 3z² = 4
In spherical coordinates, obtain
r²sin²φ cos²θ + 3r²cos²φ = 4
Answer: r²(sin²φ cos²θ + 3cos²φ) = 4
In spherical coordinates, equations in the form of [tex]4z^2 = 5x^2 + 5y^2[/tex] can be written as [tex]4ρ^2cos^2(θ) = 5ρ^2sin^2(θ)[/tex], and equations in the form of x^2 + 3z^2 = 4 can be written as ρ^2sin^2(θ) + 3ρ^2cos^2(θ) = 4.
Explanation:(a) In spherical coordinates, the equation [tex]4z2 = 5x2 + 5y2[/tex] can be written as [tex]4ρ2cos2(θ) = 5ρ2sin2(θ)[/tex]. Here, ρ represents the distance from the origin to the point and θ represents the angle measured from the positive x-axis to the point in the xy-plane.
(b) For the equation x2 + 3z2 = 4, we can rewrite it in spherical coordinates as[tex]ρ2sin2(θ) + 3ρ2cos2(θ) = 4.[/tex]
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The surface area of a cube varies directly as the square of the length of an edge. true or false
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If the side of the cube is x, then the surface area of one side is x^2, and the total surface area is 6x^2 (because there are 6 squares making up the surface of the cube).
Here, we have A(x) = 6 x^2, which DOES vary directly as the square of the length of an edge, denoted by x.
What was the total production of gasoline and kerosene combined?
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Solve the formula M = 2P + 3Q for the variable Q.
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M = 2P + 3Q
M - 2P = 3Q
(M - 2P)/3 = Q.
Last year Jeremy had $7900 in medical expenses. If his AGI was $89,000, will he be able to deduct his medical expenses and if so, what amount?
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Answer:
He will be able to deduct his medical expenses by $1225.
Step-by-step explanation:
If his medical expenses are over 7.5% of his AGI he can reduce it to 7.5%.
His AGI was $89,000. How much is 7.5% of that?
0.075*89000 = $6675.
His expenses are over 7.5%, so yes, he can reduce.
He can reduce from $7900 to $6675, so 7900 - 6675 = $1225
Someone please help me with # 10
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What is 3x5x6x19x500
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Why do some absolute value equations have no solution?
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Which figure represents an undefined term?
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The undefined terms in geometry are: point, line and plane.
Since you have not attached any figures, I cannot tell you which one is correct. Just choose the figure that is either a point, a line or a plane.
How do the 3's compare in 350 and 403?
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in 403, the 3 is in the one's place
hope this helps
How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts?
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Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
Help please!!! practical math
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The line of best fit (aka the regression line) that GeoGebra produces is the equation y = 1.862 - 0.138
Which means the answer is choice A
It takes one machine 25 minutes to pick a bale of cotton and another machine 30 minutes to compete the same job. If both machines are used, how long will it take them to pick a bale of cotton?
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Answer:
13.64 minutes
Step-by-step explanation:
The first machine works at the rate x = 1 bale/ 25 min.
The second machine works at the rate y = 1 bale/30 min.
The combined rate is
x + y = 1/25 + 1/30 bales/min
= (30 + 25)/(25*30) = 55/750
= 11/150 bales/min
The time for both machines to pick 1 bale of cotton is
(1 bale)/(11/150 bales/min) = 150/11 min = 13.64 min
So if you take rsm, you have to input 13.64 otherwise it won't work. :)
What is the GCF of 12,28,36?
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12 = 1, 2, 3, 4, 6, 12
28 = 1, 2, 4, 7, 14, 28
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
the GCF of numbers 12, 28, 36 is 4.
hope this helps, God bless!
First right answer gets brainliest
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find line perpendicular to 4x+7y+3=0 passing through (-2,1).
Solution:
We will first find the general form of the perpendicular line.
The perpendicular line has the form
7x-4y+k=0 .........................(1)
by switching the coefficients of x and y, and switching the sign of one of the two coefficients. This way, the slope of (1) multiplied by that of the original equation is -1, a condition that the two lines are perpendicular. The value of k is to be determined from the given point (-2,1).
To find k, we substitute x=-2, y=1 into equation (1) and solve for k.
7(-2)-4(1)+k=0
=>
k=14+4=18
Therefore the required line is
7x-4y+18=0
y - y_1 = m(x - x_1)
You are given a point the line passes through, (-2, 1).
Now you need to slope of your line.
You are given the equation of a line that your line is perpendicular to.
The slopes of perpendicular lines are negative reciprocals.
If you find the slope of the given line, you can find the slope of the perpendicular line.
Given line:
4x + 7y + 3 = 0
Solve for y:
7y = -4x - 3
y = (-4/7)x - 3/7
The slope of the given line is -4/7.
The slope of the perpendicular is 7/4.
Now we can find the equation of the line using the given point and the slope we just found.
y - y_1 = m(x - x_1)
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)(x + 2)
4y - 4 = 7x + 14
7x - 4y + 18 = 0
A hardware store has 147 containers of paint. If each container holds 5 gallon of paint, how many gallon of paint are at the store?
A.235 B.595 C.735 D.905
Dale chose A as the correct answer how did he get that answer?
I know the answer is C but can't explain why he chose A
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735 gallons of paint
Dale forgot the 1 in 147, so he multiplied 47 x 5 = 235
Three friends all live on the same street that runs west to east. Ben lives 4 blocks from Ann. Carl lives 2 blocks from Ben. If the street is represented by a number line and Ann's house is located at 0, what are the possible locations for Carl's house?
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Answer:
The possible locations are,
2, -2, 6 or -6
Step-by-step explanation:
Given,
The location of Ann's house in the number line = 0,
∵ Ben lives 4 blocks from Ann.
So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )
Now, Carl lives 2 blocks from Ben,
So, the possible location of Carl's house
Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )
Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )
The possible locations of Carl's house are - 6, 6, 2 or - 2
Let :
Ben's location = B
Carl's position = C
Ann's position = A
Using the Number line illustration :
Ann's position = 0
Ben's possible positions :
4 blocks(units) from Ann = ± 4Carl's location :
2 blocks from Ben-4 ± 2 = (-4 - 2) or (-4 + 2) = - 6 or - 2 +4 ± 2 = (4 + 2) or (4 - 2) = 6 or 2Learn more : https://brainly.com/question/16191404?referrer=searchResults
Suppose that we have the least squares regression line y = 3 + 2x and that the sum of the squares of the errors (sse) for this line is 13,712. what can be said about the sum of the squares of the errors (sse) for this data set and the line y = 3 + 2.5x?
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The question involves linear regression and the sum of squared errors (SSE), which quantify the total deviation of the response values from the fitted line. If y=3 + 2x is the best-fit line, then the SSE for the line y=3 + 2.5x would be greater than 13,712.
Explanation:The question involves the concept of linear regression and the sum of squared errors (SSE). The SSE of a regression line is quantified by the difference between the observed and predicted values of the dependent variable, each squared and added together. These show how well the regression line fits the data.
In the context of this question, you're given the SSE for the line y = 3 + 2x. However, you're asked about the SSE for the line y = 3 + 2.5x. Since the slope of this new line is steeper, the predicted y-values will be different from those from the original line and generally farther from the actual data points. Therefore, it can be said that if the line y = 3 + 2x is the best-fit line, then the SSE for the line y = 3 + 2.5x would be greater than 13,712.
Error in prediction is generally greater when we move away from the least-squares regression line. Thus the SSE provides a quantifiable way to determine the line that best fits the data.
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One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute which tank is filling faster equation
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[tex]\bf \cfrac{3}{4}\cdot \cfrac{2}{2}\implies \cfrac{6}{8}\quad \textit{clearly then }\cfrac{9}{8}\textit{ is larger than }\cfrac{6}{8} \\\\\\ \stackrel{\stackrel{tank's~volume}{gallons}}{y}=\cfrac{9}{8}\stackrel{minutes}{x}[/tex]
what is the equation of the perpendicular to y=2/3x+1 that passes through the point (12,-6)
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well then, a line perpendicular to that one, will have a negative reciprocal to it.
[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{2}{3}\\\\ slope=\cfrac{2}{{{ 3}}}\qquad negative\implies -\cfrac{2}{{{ 3}}}\qquad reciprocal\implies - \cfrac{{{ 3}}}{2}[/tex]
so, we're really looking for the equation of a line whose slope is -3/2 and goes through 12, -6.
[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 12}}\quad ,&{{ -6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -\cfrac{3}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-6)=-\cfrac{3}{2}(x-12) \\\\\\ y+6=-\cfrac{3}{2}x+18\implies y=-\cfrac{3}{2}x+12[/tex]
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You want to find out how many baseball cards Ryan had to begin with. Which situation about his card collection best represents the equation
x/2-1=24
A. Half of his cards were ruined after they got wet, and then he lost 1 card. After that, he had 24 cards left.
B. He lost 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
C. Half of his cards were ruined after they got wet, and then he bought 1 more card. After that, he had 24 cards left.
D. He bought 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?
A.Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?
B.Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?
C.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?
D.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?
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The second is c, the inequality describes the condition and solves how many commissions he needs to earn at least 100 or more dollars a day.
Two different ways to find the difference for 12-3
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Another way you could think about it is "what number do I have to add to 3 to get to 12?"
What is the greatest common factor of 12 and 42
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The greatest common factor of 12 and 42 is 6.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 12 and 42.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The factors of 12 are 1, 2, 3, 4,6 and 12.
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Let us find the common factors of 12 and 42.
The common factors are 1, 2 , 3, 6.
Among the common factors which is greatest value.
Among 1,2,3 and 6 the number 6 is greatest.
Hence, the greatest common factor of 12 and 42 is 6.
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Ignatz repeatedly rolls a fair $6$-sided die. What is the probability that he rolls his first $5$ before he rolls his second (not necessarily distinct) even number?
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The probability that Ignatz rolls his first 5 before he rolls his second (not necessarily distinct) even number is: 13/32
Events:Define Event A: Rolling 5 before an even number.
Define Event B: Rolling an even number before a 5 (complementary event to event A).
Sample Space: - The total number of outcomes for rolling a die 5 times is [tex]6^5[/tex] (each roll has 6 possibilities).Favorable Outcomes for Event A:- We can achieve event A in various scenarios where Ignatz rolls a 5 before encountering an even number. Let's consider each case:Case 1: 5 in the first roll (1 way). Then, any other number (not 2, 4, or 6) in the remaining rolls (5 possibilities each).
Favorable outcomes: [tex]1 * 5 * 5 * 5 * 5.[/tex]
Case 2: 5 in the second roll (similar to case 1).
Favorable outcomes: [tex]5 * 1 * 5 * 5 * 5.[/tex]
We can continue using the same logic for cases where 5 appears in the third, fourth, or fifth roll.
Total Favorable Outcomes for Event A:Since there are multiple ways to achieve event A, we add the favorable outcomes from each case.Total Favorable Outcomes (A) = Favorable Outcomes (Case 1) + Favorable Outcomes (Case 2) + ... + Favorable Outcomes (Case 5)
= [tex]1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5[/tex]
Probability of Event A:Probability (A) = Favorable Outcomes (A) / Total Outcomes
[tex]= ( 1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5) / 6^5[/tex]
Probability of Event B (complementary event):Event B is the opposite of event A. Since events A and B cover all possibilities, their probabilities sum to 1.
Probability (B) = 1 - Probability (A)
Therefore, the probability of rolling a 5 before an even number (event A) is 1 - Probability (B).
(01.03) A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box
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1.5 feet = 12 * 1.5 = 18 inches
14 x 18 x 7 = 1764 cubic inches
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
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so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..
answer plz got cunfused on question and cant solve
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area of parallogram now = 8*10 = 80 square units
if the sides are multiplied by 4 the new dimensions would be
8*4 = 32, 10*4 = 40
area would be 32 *40 = 1280 square units
1280 /80 = 16
the area multiplied 16 times which is the multiple squared ( 4^2 = 16)