Answer:
the speed of a vehicle and the time it takes the vehicle to travel 60 miles is a positive correlation
Which of the following shows the graph of y = 4x + 3?.
its the first graph
A
To find the graph of the equation y = 4x + 3, plot the y-intercept at (0,3) and use the slope of 4 to plot additional points. Connect these points to form a straight line that slopes upward to the right, reflecting a positive slope.
The student has asked to identify the graph of the equation y = 4x + 3. This is an equation of a straight line where the slope (m) is 4 and the y-intercept (b) is 3. According to the properties of linear equations, for every increase of 1 on the x-axis, the value of y will increase by the slope value, which is 4 in this case. The graph will intersect the y-axis at 3, which is the y-intercept.
To graph this line, you can start by plotting the y-intercept at (0,3) on the graph. Then, use the slope to determine the next point by moving 4 units up for every 1 unit you move to the right. Repeat this process with several values of x to construct a table, for instance, at x=1, y=7, at x=2, y=11, etc. These points are then plotted and connected with a straight line to represent the graph of the equation.
Referring to Figure 12.4, we can see that the line would match figure (a) which shows a line that slopes upward to the right, because our b value (slope) is greater than 0.
Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%
APR afterwards, compounded daily. What effective interest rate is Caleb being offered?
17.61%
19.19%
17.68%
19.33%
Solution:- Answer is 19.33%
Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.
Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.
now, effective interest rate for n= 30 days
=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0[/tex]
After 30 days APR =17.68%=0.1768
n=365-30=335 days
now the effective interest rate for n=335 days
=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933[/tex]
=19.33%
So the effective interest rate for 365 days =0+19.33% =19.33%
So fourth option is correct.
Answer:
17.61%
Step-by-step explanation:
just did it
A Ferris Wheel turns at a constant speed.
It takes 4 minutes to turn through a complete circle.
What angle does the Ferris Wheel turn through in 90 seconds?
A) 125 degrees
B) 135 degrees
C) 145 degrees
D) 155 degrees
Bianca planted seeds to grow zinnias, sunflowers, and marigolds. After several weeks, 18 out of 50 zinnia seeds, 12 out of 30 sunflower seeds, and 14 out of 40 marigold seeds grew into plants. Drag the names of the plants in order from the least percentage of plants that grew to the greatest percentage of plants that grew.
A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than the speed of the car. Which equation could be used to determine the speed of the car, r, in miles per hour?
What is the area of a triangle that has a base of 3 feet and a height of 6 feet?
A: 18 ft^2
B: 18 ft C: 9 ft^ 2 D: 4.5 ft^2
The formula of area of triangle is given by
[tex] A= \frac{1}{2} b*h [/tex]
Where b is the base and h is the height .
In the given question, base ,b = 3 feet
Height, h= 6 feet
Substituting the values of b and h in the formula, we will get
[tex] A = \frac{1}{2}*3*6 = 9 ft^2 [/tex]
Correct option is C .
Answer:
9 ft^ 2
Step-by-step explanation:
The explicit rule for a sequence is
an=48−11n .
What is the recursive rule for the sequence?
an=an−1+37,a1=11
an=an−1−11,a1=37
an=an+1−11,a1=37
an=an−1−37,a1=11
10 Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks out of the drawer. What is the probability that the next pair he takes out is black?
A system of linear equations is shown below. 2x + 4y = 10 3x – y = 8 marla is attempting to prove that by replacing 2x + 4y = 10 with a different equation it will sometimes produce a new system of equations with the same solution. marla plans on multiplying 2x + 4y = 10 by 2 and then adding the results to the equation 3x – y = 8 in order to create a new equation. marla claims that the new equation that she will replace 2x + 4y = 10 with is 7x + 7y = 12. is marla correct?
No, Marla is not correct. The correct new equation is 4x + 8y = 20.
Explanation:No, Marla is not correct. To create a new equation that represents the same system of equations, we need to perform the same mathematical operation on both sides of the equation. In this case, Marla multiplied the left side of the equation by 2, but not the right side. To maintain equality, we need to multiply both sides of the equation by the same constant. Therefore, the correct new equation would be 4x + 8y = 20.
Find the area of the triangle. Round the answer to the nearest tenth.
A.
27.1 square units
B.
29.0 square units
C.
178.3 square units
D.
356.6 square units
Answer:
The correct option is C.
Step-by-step explanation:
Given information: AB=20.4, BC=17.7 and ∠ B = 99 °.
It two sides and their inclined angle is given then the area of the triangle is
[tex]A=\frac{1}{2}ab\sin C[/tex]
Where, a and b are two sides of a triangle and C is their inclined angle.
The area of given triangle is
[tex]A=\frac{1}{2}\times 20.4\times 17.7 \sin 99^{\circ}[/tex]
[tex]A=178.317253[/tex]
[tex]A\approx 178.3[/tex]
The area of the triangle ABC is 178.3 square units. Therefore the correct option is C.
Compute the requested value to hundredths of a percent. Choose the correct answer. You see a used car you wish to buy. The dealer quotes you a price of $1,595. You have a Blue Book quotation of $1,435 for the same model and year. How much greater (%) is the dealer's price from the Blue Book? It is _____%.
Answer:
11.15
Step-by-step explanation:
What is the area of a trapezoid that has bases of 1feet and 14 inches and a height of 3 inches? A 43.5 in.^2 B 87 in.^2 C 22.9 in.^2 D 3.6 in.^2
Answer:
Option A. [tex]43.5\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=(1/2)(b1+b2)h[/tex]
we have
[tex]b1=1\frac{1}{4}\ ft[/tex]
[tex]b2=14\ in[/tex]
[tex]h=3\ in[/tex]
Convert feet to inches first
Remember that
[tex]1\ ft=12\ in[/tex]
so
[tex]1\frac{1}{4}\ ft=\frac{5}{4}\ ft=12*\frac{5}{4}=15\ in[/tex]
substitute in the formula
[tex]A=(1/2)(15+14)3=43.5\ in^{2}[/tex]
Answer:
43.5 in^2
Step-by-step explanation:
8) A customer paid 84p for 300g of grapes. Find the price for 1/2kg
Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the difference between the larger of x1 and x2 and the smaller of y1 and y2.
To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.
Explanation:To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.
Here is how it would look like in a programming context:
int larger = Math.max(x1, x2);
int smaller = Math.min(y1, y2);
int difference = larger - smaller;
where 'difference' is the answer you are looking for.
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How many distinct pairs of perfect squares differ by 35? (the pair $a, b$ is the same as the pair $b, a$.)?
Answer:
2
Step-by-step explanation:
PLEASE HELP!!???!!!?
The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses
A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),
E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?
PLEASE ANSWER
Answer:The answer is B !
Step-by-step explanation:
A translation is a rigid translation that changes the location of a figure without a net reflection or rotation
The option that gives the correct image of the preimage DEFG, which is D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3), is; The second diagram
Please find attached a diagram showing the preimage and the image
The reason why the selected option is correct is given as follows
The given translation is T₍₋₁, ₂₎(x, y)
Coordinates of the pre-image are D(-1, 3), E(4, 3), F(4, 1), and G(-1, 1)
Required:
To find the image formed following the translation
Solution:
To translate a preimage given the measure of the translation of the x and y-values, in the form T₍₋₁, ₂₎(x, y), '-1' is added to the x-values, and '2' is added to the y-values, as follows
D(-1, 3) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] D'(-1 - 1, 3 + 2) = D'(-2, 5)E(4, 3) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] E'(4 - 1, 3 + 2) = E'3, 5)F(4, 1) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] F'(4 - 1, 1 + 2) = F'(3, 3)G(-1, 1) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] G'(-1 - 1, 1 + 2) = G'(-2, 3)The coordinates of the vertices of the image are D'(-2, 5), E'(3, 5), F'(3, 3), and G'(-2, 3)
The image of DEFG is the second diagram, D'E'F'G'.
Please find attached the diagram of the image of the preimage DEFG constructed with dashes
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David has a credit card with an APR of 13.59% and a 30-day billing cycle. The table below details David’s transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 1,998.11 Beginning balance 11/5 43.86 Purchase 11/16 225.00 Payment 11/23 61.21 Purchase Between the previous balance method and the daily balance method, which method of calculating David’s November finance charge will result in a greater finance charge, and how much greater will it be?
Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit id £648.45. Work out the profit for one small cake.
Answer:
The profit for one small cake is £1.31.
Step-by-step explanation:
It is given that that Gina sells 216 cakes in the ratio small:medium:large 5:7:12.
[tex]5+7+12=24[/tex]
Number of small cakes = [tex]216\times \frac{5}{24}=45[/tex]
Number of medium cakes = [tex]216\times \frac{7}{24}=63[/tex]
Number of large cakes = [tex]216\times \frac{12}{24}=108[/tex]
The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake.
Let the profit for one small cake be x. So the profit for one medium and large cake are 2x and 3x respectively.
Her total profit id £648.45.
[tex]45\times x+63\times 2x+108\times 3x=648.45[/tex]
[tex]45x+126x+324x=648.45[/tex]
[tex]496x=648.45[/tex]
Divide both sides 496.
[tex]\frac{496x}{496}=\frac{648.45}{496}[/tex]
[tex]x=1.30735887097[/tex]
[tex]x\approx 1.31[/tex]
Therefore the profit for one small cake is £1.31.
marika is training for a track race She starts by sprinting 100 yards . She gradually increases her distance , adding 4 yards a day for 21 days how far does she sprint on day 21
using an=100+(n-1)4
Answer:
180 yards on day 21
Step-by-step explanation:
just took on A P E X !!
Chris wants to make an enclosed rectangular area for a mulch pile. She wants to make the enclosure in such a way as to use a corner of her back yard. She also wants it to be twice as long as it is wide. Since the yard is already fenced, she simply needs to construct two sides of the mulch pile enclosure. She has only 15 feet of material available. Find the dimensions of the enclosure that will produce the maximum area
Chris should construct the enclosure with a width of 5 feet and a length of 10 feet, using her 15 feet of fencing material, which will result in a maximum enclosed area of 50 square feet.
Chris wants to construct an enclosed rectangular area for a mulch pile and use her backyard's corner fence effectively, thereby constructing only two sides of the mulch pile enclosure. She has 15 feet of fencing material to use and wants the length of the rectangular enclosure to be twice the width. To find the dimensions that will produce the maximum area, we can set up an equation.
Let x represent the width (in feet) and 2x represent the length (in feet), since the length is twice the width.
Since Chris is using the corner of the yard, she only needs to construct two sides of the fence.
Therefore, the amount of fencing material she will use (perimeter of two sides) is given by the equation x + 2x = 15, which simplifies to 3x = 15.
Solving for x, we find that x = 5 feet. Thus, the width of the enclosure is 5 feet, and the length is twice that, or 10 feet.
The maximum area that Chris can enclose is therefore 5 ft imes 10 ft = 50 square feet.
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour
The average speed of an object is computed as follows,
[tex]v=\frac{d}{t}[/tex] , where [tex]d[/tex] is the distance covered in the time interval of interest and [tex]t[/tex] is the time taken to cover the distance.
In this problem, the distance covered is
[tex]d= 3\frac{1}{6} km =\frac{19}{6} km.[/tex] as an equivalent fraction.
The time taken for the journey is
[tex]t=\frac{1}{4} hour.[/tex].
The avarage is speed is then,
[tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{(19/6)km}{(1/4)h} =\frac{19\times 4 km}{6\times 1h} =\frac{38km}{3h} = 12.67km/h.[/tex]
A garden is in the shape of a square. the area of the garden is 178 square meters. the exact length of a side of the garden is between which two lengths?
Rhianna has $5.25 in dimes and nickels for a total of 63 coins. how many dimes does she have
Answer:
The number of dimes she has = 42
Step-by-step explanation:
Rhianna has $5.25 in dimes and nickels for a total of 63 coins.
Let the number of nickels be x and the dimes be y.
Since nickels = 0.05 cent and Dimes = 0.10 cent
Now we will form the equations.
10 y + .05 x = 5.25
5x + 10y = 525
x + 2y = 105 ------(1)
x + y = 63 ----(2)
By subtracting equation 2 from 1.
(x + 2y)-(x + y) = 105 - 63
x + 2y - x - y = 42
y = 42
By putting y = 42 in equation 1
x + 42 = 63
x = 63 - 42 = 21
Therefore
Number of dimes will be 42.
Given that z20 = –2 and z50= – 1, which of the following do you know?
1.) The variance is 10.
2.) The standard deviation is 30.
3.) The mean is 80.
4.) The median is 40.
5.) The data point x=20 is 2 standard deviations form the mean
6.) The data point x=50 is 1 standard deviation from the mean
7.) The data point x=45 has a z-valued of 1.5
Answer:
it is 2;3;5;6
Step-by-step explanation:
Given that z20 = –2 and z 50= –1, which of the following do you know?
The variance is 10.
The standard deviation is 30.
The mean is 80.
The median is 40.
The data point x = 20 is 2 standard deviations from the mean.
The data point x = 50 is 1 standard deviation from the mean.
The data point x = 45 has a z-value of 1.5.
answer2356 on edge
The solution is, it is 2;3;5;6.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have,
Given that z20 = –2 and z 50= –1, which of the following do you know?
The variance is 10.
The standard deviation is 30.
The mean is 80.
The median is 40.
The data point x = 20 is 2 standard deviations from the mean.
The data point x = 50 is 1 standard deviation from the mean.
The data point x = 45 has a z-value of 1.5.
so, we get,
answer2, 3, 5, 6 on edge.
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A probe is traveling to mercury is 4.8 x 10^7 miles away the probe travels at a rate of 6 x 10^4 miles per hour. Using the formula: time = distance / rate determine how long it would take the probe to reach mercury all units are in hours.
A. 0.8
B. 2.88 x 10^4
C. 8 x 10^2
D. 1.2 x 10^3
Please help
Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, ...}
Answer:
[tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
Step-by-step explanation:
We are given a geometric sequence { -16, 4, -1, .... }
i.e. [tex]a_{1} =-16[/tex], [tex]a_{2} =4[/tex], [tex]a_{3} =-1[/tex], ...
We will first find the common ratio 'r'.
Now, [tex]r=\frac{a_{n}}{a_{n-1}}[/tex]
i.e. [tex]r=\frac{a_{2}}{a_{1}}[/tex]
i.e. [tex]r=\frac{4}{-16}[/tex]
i.e. [tex]r=\frac{1}{-4}[/tex]
Similarly, i.e. [tex]r=\frac{a_{3}}{a_{2}}[/tex]
i.e. [tex]r=\frac{-1}{4}[/tex]
So, we get that the common ratio is [tex]r=\frac{-1}{4}[/tex].
Now, the recursive formula for the geometric sequence is given by,
[tex]a_{n} =r \times a_{n-1}[/tex]
i.e. [tex]a_{n} =\frac{-1}{4} \times a_{n-1}[/tex]
i.e. [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
Hence, the recursive formula for this sequence is [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
Factor 20x2 + 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials.
Answer:
(5x - 3) • (4x + 5)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!
1. Use the parabola tool to graph the quadratic function f(x)=x2+10x+16 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
2. Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1) .
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
3. Use the parabola tool to graph the quadratic function f(x)=−x2+4.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
4. Use the parabola tool to graph the quadratic function f(x)=2x2+16x+30 .
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
5. Select ALL the statements that are true for the graph of y=(x+2)2+4 .
The graph has a maximum.
The graph has a minimum.
The vertex is (2, 4) .
The vertex is (−2, 4) .
1. f(x)=x²+10x+16
Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=1(As, a>0 the parabola is open upward), b=10. by putting the values.
-b/2a = -10/2(1) = -5
f(-b/2a)= f(-5)= (-5)²+10(-5)+16= -9
So, Vertex = (-5, -9)
Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+16, we get point (0,16).
Now find x-intercept put y=0 in the above equation. 0= x²+10x+16
x²+10x+16=0 ⇒x²+8x+2x+16=0 ⇒x(x+8)+2(x+8)=0 ⇒(x+8)(x+2)=0 ⇒x=-8 , x=-2
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
2. f(x)=−(x−3)(x+1)
By multiplying the factors, the general form is f(x)= -x²+2x+3.
Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=2. by putting the values.
-b/2a = -2/2(-1) = 1
f(-b/2a)= f(1)=-(1)²+2(1)+3= 4
So, Vertex = (1, 4)
Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point (0, 3).
Now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.
-x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒x=3 , x=-1
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
3. f(x)= −x²+4
Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=0. by putting the values.
-b/2a = -0/2(-1) = 0
f(-b/2a)= f(0)= −(0)²+4 =4
So, Vertex = (0, 4)
Now, find y- intercept put x=0 in the above equation. f(0)= −(0)²+4, we get point (0, 4).
Now find x-intercept put y=0 in the above equation. 0= −x²+4
−x²+4=0 ⇒-(x²-4)=0 ⇒ -(x-2)(x+2)=0 ⇒x=2 , x=-2
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
4. f(x)=2x²+16x+30
Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=2(As, a>0 the parabola is open upward), b=16. by putting the values.
-b/2a = -16/2(2) = -4
f(-b/2a)= f(-4)= 2(-4)²+16(-4)+30 = -2
So, Vertex = (-4, -2)
Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+30, we get point (0, 30).
Now find x-intercept put y=0 in the above equation. 0=2x²+16x+30
2x²+16x+30=0 ⇒2(x²+8x+15)=0 ⇒x²+8x+15=0 ⇒x²+5x+3x+15=0 ⇒x(x+5)+3(x+5)=0 ⇒(x+5)(x+3)=0 ⇒x=-5 , x= -3
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
5. y=(x+2)²+4
The general form of parabola is y=a(x-h)²+k , where vertex = (h,k)
if a>0 parabola is opened upward.
if a<0 parabola is opened downward.
Compare the given equation with general form of parabola.
-h=2 ⇒h=-2
k=4
so, vertex= (-2, 4)
As, a=1 which is greater than 0 so parabola is opened upward and the graph has minimum.
The graph is attached below.
Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.