Answer:
The correct option is B.
Step-by-step explanation:
It is given that Alondra took out a car loan for $22,500 that has a 0% APR for the first 24 months and will be paid off with monthly payments over 5 years.
We know that
1 year = 12 months
Using this conversion we get
5 year = 60 months
It means total number of months in 5 years is 60. For first 24 months the APR is 0%. So, the number of months will Alondra be charged interest is
[tex]60-24=36[/tex]
Therefore the correct option is B.
Find the missing number if the mean is 2.3. 2.3,4.1,1.2,1,0.5
Answer:
Step-by-step explanation:
In this problem, you have to work sort of backwards.
The mean is 2.3 and there are 6 numbers [including this missing one] so multiply 2.3 by 6.
2.3 x 6 = 13.8
Now, subtract the 5 values you know from 13.8
13.8 - 2.3 - 4.1 - 1.2 - 1 - 0.5 = 4.7
Thus, the missing value is 4.7
I hope this helps!
Find the surface area of the regular pyramid.
It would be 170.1
Steps:
Each triangle side: 10 × 9 = 90 × 0.50 = 45
Since there are three sides: 45 × 3 = 135
Bottom triangle: 9 × 7.8 = 35.1
135 + 35.1= 170.1
Please mark as Brainliest! :)
Answer:
170.11
Step-by-step explanation:
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
A rectangle has a length of 10cm and a width of 6cm. How long is the diagonal of the rectangle
Answer:1
Step-by-step explanation:
Answer:
11.7 cm
Step-by-step explanation:
10^2 + 6^2 = c^2
100+36= 136
find the square root of 136 and you get 11.7 cm
Which number is a constant in the algebraic expression?
-x*2*-6y+13x+7
-6
-1
7
13
the ** means to the power of
Answer:
7
Step-by-step explanation:
The given algebraic expression is;
[tex]-x^2-6y+13x+7[/tex]
This is an algebraic expression in x and y.
Any term that is independent of these two variables is called the constant term.
The term '7' is independent of these variables.
Hence the constant term is 7.
Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not
Answer:
They are proportional
Step-by-step explanation:
becaue the length of one of the square's sides is 1/4 the perimeter
A set of numbers is shown:
{0, 2.6, 4.2, 5, 10, 15}
Which of the following shows all the numbers from the set that make the inequality 5x + 3 ≥ 28 true?
please answer quick!!
The correct answers are 5, 10, and 15. I'm doing the same subject and I got a 100 on a question similar. Good luck!
Answer:
5, 10, and 15
Step-by-step explanation:
Solve this system of linear equation.Separate the x- and y-values with comma. 16x=6-18y -10x=-24+18y
Answer:
(5,-37/9)
Step-by-step explanation:
Divide the first equation by 2 and the second equation by 2.
8x=3-9y, -5x=-12+9y
Isolate the 9y's
8x-3=-9y, -5x-12=9y
Add the equations together so that the two y's cancel out
8x-3=-9y
-5x-12=9y +
3x-15=0
Solve this equation to get...
x=5
Plug that in to the original equations to get y=-37/9
Answer:
(x,y) = (-3,3)
Step-by-step explanation:
16x=6-18y
-10x=-24+18y
We need to solve the above equations to find the values of x and y.
Rearranging the above equations
16x + 18y - 6 = 0 => eq(1)
-10x -18y +24 =0 => eq(2)
Adding eq(1) and eq(2)
16x + 18y - 6 = 0
-10x -18y +24 =0
-----------------------
6x + 18 =0
6x = -18
x= -18/6
x= -3
Putting value of x in eq(1) i.e
16x + 18y - 6 = 0
x= -3
16(-3) + 18y - 6 =0
-48 + 18y -6 =0
18y - 54 = 0
18y = 54
y= 54/18
y= 3
So, value of x = -3 and y = 3
(x,y) = (-3,3)
What is a scale drawing
Answer:
A scale drawing is a drawing that shows the size of an object reduced or enlarged by a certain amount. The most common example is a map.
If we were to create a real size map of a house it would be a HUGE map. We wouldn't be able to grab it using our hands, and it wouldn't be useful either. The idea of a map is to have a diagrammatic representation of something.
Intead, we create maps where the size of the house is reduced by a certain scale. So we can see the distribution of the house, and -at the same time- know the measures of it.
I am attaching an example of a map. It's the map of mexico, and you can see the scale of the map at the bottom.
what is the answer to this question.
Answer: 10
Step-by-step explanation:
1. Add all the types of meat, cheese, and bread
2. 10 Is your answer because it’s asking for 1 and 10 of all the items will be in 1 meal consisting all the types.
Zoey is covering a 14-inch-square board with 1-inch-square tiles. She uses gray tiles to make three 3-in. by 3-in. squares on the board. She covers the rest of the board with white tiles.
How many more white tiles than gray tiles will Zoey use?
Answer:
[tex]142\ tiles[/tex]
Step-by-step explanation:
step 1
Find the total tiles in the square board
The total area of the square board is equal to
[tex]A=14^{2}=196\ in^{2}[/tex]
Remember that each tile is 1-inch-square
so
by proportion
The total tiles is equal to
[tex]196\ tiles[/tex]
step 2
Find the number of gray tiles in the square board
The total area of gray tiles in the square board is equal to
[tex]A=3[(3)(3)]=27\ in^{2}[/tex]
Remember that each tile is 1-inch-square
so
by proportion
The total gray tiles is equal to
[tex]27\ tiles[/tex]
step 3
Find the number of white tiles in the square board
Subtract the number of gray tiles from the total number of tiles
[tex]196-27=169\ tiles[/tex]
step 4
Find out how more white tiles than gray tiles will Zoey use
Subtract the number of gray tiles from the number of white tiles
[tex]169-27=142\ tiles[/tex]
You are a first year police officer in Swanton, Ohio. You are earning a monthly salary of $2,200. Next year you will be given a raise to $29,890 annually. How much more per month will you earn your second year?
About $290.83.
Hope this helps!
The police officer will earn approximately $290.83 more each month in his second year, as his annual salary will raise from $26,400 to $29,890.
Explanation:In this scenario, we are dealing with a salary raise and how it affects the overall monthly income. The first year, the police officer is earning $2,200 per month, which translates to an annual salary of $26,400 (since there are 12 months in a year, you can simply multiply the monthly income by 12 to find this). The second year, his annual salary will be raised to $29,890.
To see how much more they will be making a month, subtract the first year's annual salary from the second year's total ($29,890 - $26,400 = $3,490). This is the total raise for the year, but we want to find out how much more the officer will be making a month. Since the raise is distributed over 12 months, simply divide this total by 12 to get the answer. $3,490 ÷ 12 = approximately $290.83. So, the police officer will be making around $290.83 more each month in the second year.
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look at picture and plzz help
Answer:
D. -2x+3y=12
Step-by-step explanation:
add -2x to both sides of the equationdivide 3 on both sides of the equationthe line is y=2/3x +4you could also move the variable to the rightdivide both sides by -2and get x=-6+3/2yANSWER
D. -2x+3y=12
EXPLANATION
The given line passes through:
(0,4) and (-6,0)
These are the x and y intercepts.
The equation is given by :
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
where a= -6 is the x-intercept and b=4 is the y-intercept.
We substitute the values to get,
[tex]\frac{x}{ - 6} + \frac{y}{4} = 1[/tex]
Multiply through by 12,
[tex]\frac{x}{ - 6} \times 12 + \frac{y}{4} \times 12 = 1 \times 12[/tex]
[tex] - 2x + 3y = 12[/tex]
The correct answer is D .
need this badly!!!!!!
The answer is:
The center of the circle is located on the point (-9,-2) and the radius is 6 units.
Why?To solve the problem, we need to use the given equation which is in the general form.
We are given the circle:
[tex]x^{2}+y^{2}+18x+4y+49=0[/tex]
We know that a circle can be written in the following form:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Where,
h is the x-coordinate of the center of the circle
k is the y-coordinate of the center of the circle
r is the radius of the circle.
So, to find the center and the radius, we need to perform the following steps:
- Moving the constant to the other side of the equation:
[tex]x^{2}+y^{2}+18x+4y=-49[/tex]
- Grouping the terms:
[tex]x^{2}+18x+y^{2}+4y=-49[/tex]
- Completing squares for both variables, we have:
We need to sum to each side of the equation the following term:
[tex](\frac{b}{2})^{2}[/tex]
Where, b, for this case, will the coefficients for both terms that have linear variables (x and y)
So, the variable "x", we have:
[tex]x^{2} +18x[/tex]
Where,
[tex]b=18[/tex]
Then,
[tex](\frac{18}{2})^{2}=(9)^{2}=81[/tex]
So, we need to add the number 81 to each side of the circle equation.
Now, for the variable "y", we have:
[tex]y^{2} +4y[/tex]
Where,
[tex]b=4[/tex]
[tex](\frac{4}{2})^{2}=(2)^{2}=4[/tex]
So, we need to add the number 4 to each side of the circle equation.
Therefore, we have:
[tex](x^{2}+18x+81)+(y^{2}+4y+4)=-49+81+4[/tex]
Then, factoring, we have that the expression will be:
[tex](x+9)^{2}+(y+2)^{2}=36[/tex]
- Writing the standard form of the circle:
Now, from the simplified expression (after factoring), we can find the equation of the circle in the standard form:
[tex](x+9)^{2}+(y+2)^{2}=36[/tex]
Is also equal to:
[tex](x-(-9))^{2}+(y-(-2))^{2}=36[/tex]
Where,
[tex]h=-9\\k=-2\\r=\sqrt{36}=6[/tex]
Hence, the center of the circle is located on the point (-9,-2) and the radius is 6 units.
Have a nice day!
i neeeeed helppppppp pleaeeeeeeeeeee
Answer:
its c
Step-by-step explanation:
Answer: Option C.
Step-by-step explanation:
The surface area of the right triangular will be the sum of all its faces.
You can observe in the figure that the faces of the right triangular prism are: Two equal right triangles and three different rectangles.
The formula for calculate the area of a triangle is:
[tex]A=\frac{bh}{2}[/tex]
Where "b" is the base and "h" is the height.
The formula for calculate the area of a rectangle is:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
Then, the surface area of the right triangular prism is:
[tex]SA=\frac{ba}{2}+\frac{ba}{2}+dc+db+da\\\\SA=2(\frac{ba}{2})+d(c+b+a)\\\\SA=2(\frac{4cm*3cm}{y})+8cm(5cm+4cm+3cm)\\\\SA=108cm^2[/tex]
A system of equations can be solved by elimination in the table below. Does the system of equations on line 4 have the same solution set as the system of equations on line 1? why or why not?
Answer:
Full question attached below.
Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1
Step-by-step explanation:
There is no difference between the systems of line 1 and 4
1st system
5x + 3y = 14
4x - 2y = -2
4th system
10x + 6y = 28
12x - 6y = -6
In the fourth system, we factor number 2 from the first line, and number 3 from the second line
4th system
2[5x + 3y] = 2[14]
3[4x - 2y] = 3[-2]
If we simplify,
4th system
[5x + 3y] = [14]
[4x - 2y] = [-2]
We get the same system as the 1st
Therefore, the solution is the same.
Answer: Its C
Step-by-step explanation: its equivalent
Find the measure of the central angle that you would draw to represent 20% in a circle graph.
A. 18°
B. 60°
C. 72°
D. 20°
Answer:
C
Step-by-step explanation:
The central angle is 20% of 360°, that is
central angle = [tex]\frac{20}{100}[/tex] × 360° = 0.2 × 360° = 72° → C
Answer:
Find the measure of the central angle that you would draw to represent 20% in a circle graph.
A. 18°
B. 60°
C. 72°
D. 20°
Step-by-step explanation:
The central angle is 20% of 360°
20 % of 360 = 72°
greatest common factor of 86 and 43?
[tex]\text{Hey there!}[/tex]
[tex]\text{What is the greatest common factor of 86 and 43?}[/tex]
[tex]\text{Factors of 86}\rightarrow\text{1, 2, 43, 86}[/tex]
[tex]\text{Factors of 43}\rightarrow\text{1, 43}[/tex]
[tex]\text{Common factors of BOTH NUMBERS: 1, 2, 43}[/tex]
[tex]\text{Out all the common factors of those we listed just now, 43 is the biggest one}[/tex]
[tex]\boxed{\boxed{\text{Answer: 43}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The Greatest Common Factor(GCF) of 86 and 43 is 1 because 43 is a prime number and does not have any other factors apart from 1 and itself, and 43 does not divide evenly into 86.
Explanation:To find the Greatest Common Factor (GCF) of 86 and 43, we first need to understand what a GCF is. The GCF of two or more numbers is the largest number that divides evenly into each of the numbers. The GCF for these numbers is 1 because the number 43 is a prime number and does not have any other factors apart from 1 and itself. In addition, 43 does not divide evenly into 86, leaving us with 1 as the higher factor that divides both 43 and 86.
So, the Greatest Common Factor of 86 and 43 is 1.
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Solve for a and b in the graphed hyperbola
ANSWER
a=1 and b=-12
EXPLANATION
The hyperbola has a hole at:
x=3
and a vertical asymptote at x=-4.
This implies that the denominator of the rational function is
(x-3)(x+4)
We expand to get;
[tex] {x}^{2} + 4x - 3x - 12[/tex]
This simplifies to:
[tex]{x}^{2} + x - 12[/tex]
comparing to
[tex] {x}^{2} + ax + b[/tex]
We have a=1 and b=-12
Suppose a helium balloon is filled with 1,000 cm^3 of helium. Identify the amount of helium that will be in the balloon on the second and third days.
Answer:
On second day: 500 cm^3
On third day: 250 cm^3
Step-by-step explanation:
Let x be the initial amount of helium gas in the balloon.
As it is mentioned in the question that the balloon loses half of it's gas in one day. So after one day the gas will be half of the current volume. And to calculate the volume of gas the next day, the reduced volume will be divided by two.
So,
x = 1000 cm^3
Volume on second day,
x1 = 1000/2
=> 500 cm^3
Volume of gas on third day
x2 = x1/2
=> 500/2
=> 250 cm^3
Answer:
the answer is 500cm^3 and 250cm^3
Step-by-step explanation:
This is the correct answer to your question.
The school soccer coach records the number of goals some players have scored so far this season. The dot plot of the number of goals is shown below.
What is the mean absolute deviation of the data set?
Identify all of the striking deviations.
Answer:
the means absolute deviation is 1.8
the striking deviation is 7
(it is because the data point on the far right of the graph)
Step-by-step explanation:
calculate the absolute deviation:
1. calculate the mean (add all numbers and divide by 10) = 2.6
2. find the absolute value of each
2.6 - 0 = 2.6
2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)
2.6 - 3 = 0.4
2.6 - 4 = 1.4 (you have 4's 3 times)
2.6 - 7 = 4.4
3. Then add all of those values together
2.6 + 1.6 + 1.6 + 1.6 + 1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18
4. find the mean of the difference
18/10 = 1.8
Answer:
1.8 and 7, just like the other person said<3
Step-by-step explanation:
PLZZZ HELP Find the inverse of a 2x2 matrix
Plz give answer .
Answer:
[tex]\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]
Step-by-step explanation:
If a 2x2 matrix is given as:
[tex]\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right][/tex]
The inverse is:
[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]
Our matrix given is:
[tex]\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right][/tex]
Using the formula, let's find the inverse:
[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]
find polar coordinates of the point that had rectangular coordinates
Answer:
(6.08,170.54)
Explanation:
It goes 6 to the left and 1 up
Using Pythagorean theorem= 1/6=tan(angle)
Inverse tan 1/6= angle
= 9.46 degrees
180-9.46= 170.54 degrees is the angle
1^2+(-6)^2=h^2
1+36=h^2
h= square root of 37
h= 6.08
Hope you get it!
What number is 20 less than 150% of 80
Answer:
100
Step-by-step explanation:
"What number" means a variable, like x.
"Is" means equals.
"Less than" means subtracted from.
Percent means out of 100.
"Of" means multiplication.
x = (150/100) 80 - 20
x = 120 - 20
x = 100
Evaluate the expression: –(31 + 2) + 72 – (–5)2.
A. 41
B. –40
C. –9
D. –5
Evaluating the expression step-by-step, the final answer is 14. This indicates there may be a misinterpretation or error in the options as 14 is not listed among the provided choices.
Explanation:Let's break down the expression step-by-step to evaluate –(31 + 2) + 72 – (–5)2.
First, add within the parentheses: 31 + 2 = 33. So, the expression now looks like: –33 + 72 – (–5)2.Next, address the negative sign in front of the first set of parentheses, which essentially means we're multiplying by -1. Thus, -33 becomes the term to work with.The term –(–5) should be addressed next. Remembering that subtracting a negative is the same as adding the positive, we can simplify (–5) as +5. Therefore, the squared term is 52 which is 25.So, we have: –33 + 72 - 25. Add 72 to –33, which gives us 39. Then, subtract 25 from 39 to get the final answer.39 – 25 = 14.Therefore, the correct evaluation of the expression is 14, which is not among the provided options, indicating a possible error in the question or the options provided.
What is
(3xy-1) (4xy+2)
12x^2y^2+2xy-2 with problems like these use the app “Photomath” it will help you a lot.
The answer is:
[tex](3xy-1)(4xy+2)=12(xy)^{2}+2xy-2[/tex]
or
[tex](3xy-1)(4xy+2)=12x^{2}y^{2}+2xy-2[/tex]
Why?To solve the problem and identify the resultant expression, we need to apply the distributive property, and the, add or subtract like terms.
Describing the distributive property:
[tex](a+b)(c+d)=a*c+a*d+b*c+b*d[/tex]
Remember, like terms are the terms that share the same variable and same exponent, for example:
[tex]a^{2} +3a^{2}+a^{3}=4a^{2}+a^{3}[/tex]
We were able to add only the terms that have the same exponent (2).
We are given the expression:
[tex](3xy-1)(4xy+2)[/tex]
Now, solving we have:
[tex](3xy-1)(4xy+2)=(3xy*4xy)+(3xy*2)-(1*4xy)-2\\\\(3xy*4xy)+(3xy*2)-(1*4xy)-2=12(xy)^{2}+6xy-4xy-2\\\\12(xy)^{2}+6xy-4xy-2=12(xy)^{2}+2xy-2[/tex]
Hence, we have that:
[tex](3xy-1)(4xy+2)=12(xy)^{2}+2xy-2[/tex]
or
[tex](3xy-1)(4xy+2)=12x^{2}y^{2}+2xy-2[/tex]
Have a nice day!
Perform the indicated operation. (12x2 + 7y3)(4x2 + 7y3)
ANSWER
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
EXPLANATION
We want expand:
[tex](12x^2+8y^3)(4x^2+7y^3)[/tex]
We expand using the distributive to obtain:
[tex]12 {x}^{2} (4 {x}^{2} + 7 {y}^{3} ) + 8 {y}^{3} (4 {x}^{2} + 7 {y}^{3} )[/tex]
[tex]48 {x}^{4} + 28 {x}^{2} {y}^{3} + 32{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Simplify further by combining the two terms in the middle:
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Answer:
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Step-by-step explanation:
Find the volume of a cylinder with a radius of 6cm and height 15cm? (To the nearest whole centimeter)
For this case, we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: The height of the cylinder
We have the values:
[tex]r = 6 \ cm\\h = 15 \ cm[/tex]
Substituting:
[tex]V = \pi * (6 ^ 2) * 15\\V = \pi * 36 * 15\\V = 1696.46 \ cm ^ 3[/tex]
Answer:
[tex]V = 1696.46 \ cm ^ 3[/tex]
Find the area of a circle with the circumference 18(pi)
Answer:
D 81 pi units^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
18 pi = 2 * pi *r
Divide each side by 2 * pi
18 pi / (2 pi) = 2 pi * r/ (2 pi)
9 = r
Now we can find the area. Area is given by
A = pi r^2
A = pi * 9^2
A = 81 pi units^2
Circumference = [tex]2\pi r[/tex]
[tex]\frac{18\pi}{2\pi} = \frac{2\pi r }{2\pi }[/tex]
18 ÷ 2 = 9
r = 9
-----------------------------------------------------------------------------------------------------------------
Area = [tex]\pi r^{2}[/tex]
= [tex]\pi (9)^{2}[/tex]
= 81[tex]\pi[/tex] units².
You have 120 grams of a radioactive form of nitrogen. If its half-life is 10 minutes, how much, in grams, will be left after 20 minutes?
Answer:
30 gms
Step-by-step explanation:
half life time means time taken for material to become half of its quantity
120 gms will become 60 gms in 10 mins
then in 20 mins, it will be 30 gms
After 20 minutes 30 grams amount of radioactive form of nitrogen left.
Given
The total amount radioactive form of nitrogen = 120 grams
What is half-life?The time is taken for the radioactivity of a specified isotope to fall to half its original value:
The formula is used to calculate half-life is;
[tex]\rm Half \ life = \dfrac{Amount \ of \ substance}{2}[/tex]
The half-life of the nitrogen after 10 minutes;
[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{120}{2}\\\\\rm Half \ life = 60 \ grams[/tex]
The half-life of the nitrogen after 10 minutes is 60 grams.
The half-life of nitrogen after 20 minutes;
[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{60}{2}\\\\\rm Half \ life = 30 \ grams[/tex]
Hence, after 20 minutes 30 grams amount of radioactive form of nitrogen left.
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A store has coats on sale for 25% off. How much will you pay for a coat that was originally $80 if there is a 6% sales tax? I am offering BRAINLIEST answer for whoever answers correctly and quickly. BTW my paper is due Tuesday so I’d appreciate a quick answer. Thanks y’all.
Answer:
The answer is $63.6 for a coat
Step-by-step explanation:
80 (times) 0.75 = 60
60 (times) 1.06 = 63.6
25% = 0.75
adding 6% = 1.06
Answer:
The answer is $63.6 for a coat
Step-by-step explanation: