Answer:
After 31 months, Desmond first have enough money to purchase a used car.
Step-by-step explanation:
Since we have given that
Saving per month for a used car = $25
Each month he is able to save = $5 more than the previous month
If we have $3000 to purchase a used car.
So, we need to find the number of months Desmond to have enough money.
Our sequence will be
25,30,35,..............3000
So, it becomes,
Months can't be negative, So,
n = 31 months.
Hence, After 31 months, Desmond first have enough money to purchase a used car.
Answer:
C. 31
Step-by-step explanation:
Write the equation of the line in slope-intercept form given
• Point (5,6)
• Point (3,-2)
Step-by-step explanation:
(-2-6)/(3-5)= -8/-2= 4
y+2= 4(x-3)
y+2= 4x-12
y=4x-14
Answer:
y = 4x - 14 or y = 2(x - 7)
Step-by-step explanation:
Finding the slope
m = -2 - 6 / 3 - 5m = -8/-2m = 4Finding the y-intercept
Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation formy - 6 = 4(0 - 5)y - 6 = 4(-5)y = -14Making the equation using slope-intercept form
y = mx + cy = 4x - 14 or y = 2(x - 7)33, EDUCATION In a certain small town,
65% of the adults are college graduates.
How many of the 240 adults living in
the town are college graduates?
tooo
Answer:
156 adults are college graduates
Step-by-step explanation:
To find the answer we have to find 65% of 240.
[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]
What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
Jasmine has 18 model horses. She
places the model horses equally on
3 shelves. How many model horses
are on each shelf?
Answer:
6 model horses on each shelf.
Explanation:
number of horses on each shelf = total horse ÷ total shelves
Here given:
total horses: 18total shelves: 3On each shelf, horses:
18 ÷ 36 horsesCan someone please help me with this please and thankyou
Answer:
∠ABC = 55°
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line (AC) intersects a set of parallel lines (m and n) in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
⇒ ∠BAC = ∠DCA
⇒ ∠BAC = 50°
The interior angles of a triangle sum to 180°
⇒ ∠BCA + ∠BAC+ ∠ABC = 180
⇒ 75 + 50 + ∠ABC = 180
⇒ ∠ABC = 180 - 75 - 50
⇒ ∠ABC = 55°
the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
Driving school A has 386 learner drivers and 284 pass their test first time. Driving school B has 220 learner drivers and 154 pass their first time. What is percentage pass rate of the more successful school? Answer to the nearest whole number.
Answer:
the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Step-by-step explanation:
The percentage pass rate of school A :
(284÷386)×100 = 73.575129533679 %
The percentage pass rate of school B :
(154÷220)×100 = 70 %
73.575129533679 > 70
Then ,the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Practice solving problems involving the area Assignment Which are true about the area of a circle? Check all that apply. The diameter is used in the formula. The units are always squared. The area can be found when given the diameter by first finding the radius. The area is the distance around the circle. Circumference can be used to find area.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x 25x2 1
The integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
How to evaluate the integral?The integral expression is given as:
[tex]\int {x(25x^2 + 1)} \, dx[/tex]
Start by expanding the bracket
[tex]\int {25x^3 + x} \, dx[/tex]
Next, we integrate each term in the expression
[tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
Hence, the integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
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On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.
The vertex is the
.
The function is positive
.
The function is decreasing
.
The domain of the function is
.
The range of the function is
.
The key aspects of the function are
The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0How to determine the key features?The function is given as:
f(x) = -(x + 1)^2
From the question, we have:
Vertex = (-1, 0)
Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.
It means that the function is always negative.
Also, the domain of the function is all sets of real number, because it is an exponential function.
The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0
The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity
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Answer:
The vertex is the maximum value
The function is positive for no values of x
The function is decreasing when x > –1
The domain of the function is all real numbers
The range of the function is all numbers less than or equal to 0
Hope this helped!
PLEASE ANSWER 50 POINTS!!
what is [4^2+(5+3x4)]x3=
Answer:
[( 4² + 5 + 3 × 4 )] × 3
= ( 4 × 4 ) + 5 + 3 × 4 × 3
= 16 + 5 + ( 3 × 4 × 3 )
= 16 + 5 + ( 12 × 3 )
= 16 + 5 + 36
= 21 + 36
= 57
Answer:
99
Step-by-step explanation:
pemdas states:
PARENTHESIS
EXPONENTS
MULTIPLICATION/DIVISION (left to right)
ADDITION/SUBTRACTION (left to right)
the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation
3*4 = 12
then add 12 to 5
12 * 5 = 17
(4^2 + 17) * 3 is what you have left
the next thing you do is the exponent
4^2 is 4*4 or 16
then add 16 to 17
16 + 17 = 33
then at the end
you multiply it by 3
33 * 3 = 99
your answer is 99
HELP!!!!!!!!!! What does each line on the protractor stand for?
Answer:
degrees like in angles. from 0 to 180
nwcggov
Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.
No one because odd functions are symmetric about the origin.
What is an odd function?It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.
If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.
For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.
Therefore the odd functions are symmetric about the origin.
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Answer: B
Step-by-step explanation:
(100 points + brainliest)
A box of chocolates contains five milk chocolates, three dark chocolates, and 8 white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.
What is the probability that this event happens? Show all of your steps used to solve this problem.
Answer:
3.6%
Step-by-step explanation:
This is an example of dependent events. When events are dependent, you have to multiply the probability of each event that happens after each other. Probability is desired outcome over all possible outcomes. For the milk chocolate, there are 5 pieces we can pick out of 16, so it's 5/16. Next, the probability of dark chocolate is 3/15 (There is one less piece of chocolate overall now). For the white chocolate, the possibility is 8/14. So now we have to multiply:
5*3*8 120 1
______ = _____ = ___ = (about) 0.036
16*15*14 3360 28
So, that's 3.6%
Hope this helps!
An Air Force plane flew to the
maintenance facility and back. It took one
hour longer to go there than it did to come
back. The average speed on the trip there
was 256 km/h. The average speed on the
way back was 320 km/h. How many
hours did the trip there take?
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
Time (trip) = t + 1 = 4 + 1 = 5 hours
how to solve this equation its complicated
Answer:
x(adjucent ) = 3.8
Step-by-step explanation:
okay so you are been giving me a left angle triangle so what you are supposed to do is that the longest part which is indicated 7.4 is called the hypothesis whiles the other side indicated 3.6 is called the opposite and the down part is the adjacent. so to find the adjacent your formula is opposite + adjacent = hypothesis .
so therefore we can see that
3.6 + x = 7.4
x = 7.4 - 3.6
x = 3.8
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed?
Answer:
4.8038
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 quarts in a gallon.
hope this helps, and do you mine answering my newst quition.
can somebody help me?
Answer:
1/6
Step-by-step explanation:
Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.
A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.
Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.
Hence the total probability will be 1/2 x 2/6 = 1/6
6
7
2
5
The usual price of a TV set was $400. During Memorial Day weekend, the price was marked down to
$335. What was the percent decrease in the price of the TV set?
сл
Answer:
The answer is 65% is the percent decrease
Please help ASAP!
Find the largest number which divides 60 and 75, leaving remainders 8 and 10 respectively.
answer : 13
steps:
its asking
subtract 8 from 60 which is 56
subtract 10 from 75 which is 65
then its asking
find the largest number that can divide 56 and 65
that number is
13
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what is 52.56 rounded to nearest hundred
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
4 - 5 5g > 39
What is the solution set for the inequality?
Answer:
g < -7
Step-by-step explanation:
Check image below
Which shape is always a parallelogram
Answer:
A Square, Rectangle, and a Rhombus
Step-by-step explanation:
I think that is all of them.
Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $33.50 and wrapping paper that was $2.94. If he earns $5.75 for each lawn he mows, how many lawns will he need to complete to buy the gift and wrapping?
Hi i would give brainlist (Which function best models the following table?
Answer:
A is the answer Have a great day
Step-by-step explanation:
How do i rewrite the equation?
Answer+Step-by-step explanation:
1)
[tex]x^{2}+4x+1=x^{2}+4x + (4 - 4) + 1[/tex]
[tex]=x^{2}+4x + 4 - 3[/tex]
[tex]=(x+2)^2-3[/tex]
then
[tex]x^{2}+4x+1=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]
2)
[tex]\left( x+2\right)^{2} =3[/tex]
⇔ |x + 2| = √3
⇔ x + 2 = √3 or x + 2 = -√3
⇔ x + 2 = ±√3
⇔ x = -2 ± √3
solve this asap
Given that <ABD= 42°, <EFD= 81° and <BCF= 60°, find the value of the unknown.
solve by using corresponding, alternate and interior angles method.
Step-by-step explanation:
angle G = 81°
angle CFG = 60°
total angle inside CFG = 180
a+81+60=180
a=39°
In DBCF
Total angle is 360
60+39+138+b=360
b=134°
hope its right :)
A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be
Answer:
80
Step-by-step explanation:
8 different colors multiplied by 10 different patterns
can someone help me here
NONSENSE=REPORT
Answer:
See below ~
Step-by-step explanation:
Circle ABA, CA, FA, GA∡CEG, ∡FCBCBGF∡CB, ∡BG, ∡GF, ∡CG∠CAB, ∠BAG, ∠GAFCF∠BAG, ∠GAFEC, CBWILL MARK BRAINLESS IF YOU'RE RIGHT!!! "a field in the shape of a right triangle is bordered on one side by a lake on another side by a street and on a third side by a tree line what angle does this lake make the street."
Answer:
b≈26.46
Step-by-step explanation:
see image attached
