Answer
[tex] \boxed{10p}[/tex]
Step by step explanation
[tex] \mathsf{ - 4p + (- 6p)}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains the same
[tex] \mathsf{ - 4p - 6p}[/tex]
Collect like terms
[tex] \mathsf{ - 10p}[/tex]
Hope I helped!
Best regards!
I need urgent help with the question. Can someone please give full working out of the attached question
Answer:
2x-2
Step-by-step explanation:
Being specifically asked to rationalise the denominator we focus on it as required.
To rationalise a term it has to be multiplied by its inverse.
The inverse of
[tex] \sqrt{x} - \sqrt{2 - x} [/tex]
is
[tex] \sqrt{x} + \sqrt{2 - x} [/tex]
Multiplying this two vives us a difference of two squares
[tex] {( \sqrt{x} })^{2} - {( \sqrt{2 - x} )}^{2} [/tex]
which gives us
x-(2-x)
=2x-2
Write an equation for a line perpendicular to y=3x-4 and passing through the point (-3,-4)?
Answer:
To be honest with u my mom says she has know idea and nitherr do i and were math people so sorry.
Step-by-step explanation:
Answer:
3y + x = -15
Step-by-step explanation:
gradient = 3
gradient of the perpendicular = -⅓
[tex] \frac{y - ( - 4)}{x - ( - 3)} = - \frac{1}{3} [/tex]
-x -3 = 3y + 12
3y + x = -15
which is the graph of f(x)=x^2-2x+3
Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below
[tex]y=ax^2+bx+c[/tex]
The vertex is for , and we apply with this example where a = 1, b = -2, c=3
[tex]x=-\dfrac{b}{2a}=\dfrac{-(-2)}{2}=1\\\\1^2-2*1+3=4-2=2[/tex]
So this is the first graph.
Thank you
Answer:
A
Step-by-step explanation:
I just took the test
27
A radioactive substance decays at an annual rate of
13 percent. If the initial amount of the substance is
325 grams, which of the following functions i
models the remaining amount of the substance. In
grams, 1 years later?
A) f(t) = 325(0.877'
B) f(t) = 325(0.13)
C) f(t) = 0.87(325)
D) (t) = 0.13(325)
Answer:
the answer
Step-by-step explanation:
D) 0.13 (325)
HOPE THIS HELPS!
do you need the workout?
Please answer this question quickly!
Answer:
y = 1.48 or y = - 0.193 to 3 s f.
Step-by-step explanation:
By comparing the 2 equations term by term we see that x = 1/y
So 1/y = 0.676
giving y = 1 / 0.676
= 1.48 to 3 s f.
an
1/y = -5.18
y = - 0.193 to 3 s f.
Please help whenever I do this i always get 306 but that's incorrect.
Answer:
$153
Step-by-step explanation:
Divide by 100-sale%
102/.66666=
$153
Check: 153x.666666=102 YES
Answer:
the original price is 153
Step-by-step explanation:
leather jacket is 102 sale price
the sale is 1/3 of original price
the original price=1/2 its price=sale price
x-1/3x=102
2/3 x=102
2x=306
x=306/2
x=153 dollars
what is the sum of the interior angles of a regular hexagon
Answer:
see below
Step-by-step explanation:
The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.
Answer:
The sum of the interior angles of a regular hexagon is 720°
Step-by-step explanation:
As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°
What is the image of (-5, -1) after a reflection over the x-axis?
Answer:
( -5, 1)
Step-by-step explanation:
When we reflect over the x axis
(x,y)→(x,−y)
( -5, -1) becomes ( -5, - -1) which is ( -5, 1)
Please answer this question now
Answer:
320 square inches
Step-by-step explanation:
4 * 1/2(8)(16) + 8*8 = 320
Answer:
320 sq. in.
Step-by-step explanation:
The formula for finding the area of a triangle is:
[tex]\frac{hb}{2}[/tex] (basically multiplying the height and the base and then dividing by 2)
Since there are 4 triangles, we can multiply the area of 1 triangle by 4 (64 times 4 is 256).
Then, on the bottom we have a (8 times 8) square (64).
Triangles: 256
Square: 64
256 + 64 = 320 sq. in!
Hope that helps and maybe earns a brainliest!
Have a great day!
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___
Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
Find the value of y.
148°
y
x
y = [?]°
Answer:
y=90 degree
Step-by-step explanation:
bcz this triangle is drawn in the semi-circle and the greatest angle of triangle in a semi-circle is always right angle.
Daily question:Help and I’ll make you brainliest and give you thanks show your work 11 points.
Answer:
y = 17x + 130$283 for 9 daysStep-by-step explanation:
The daily charge will be 17x for x days of rental. Added to the flat rate, the total becomes ...
y = 130 +17x
__
For 9 days, the cost is ..
y = 130 +17·9 = 130 +153 = 283 . . . . dollars charge for 9 days
PLEASE help me solve this question! No nonsense answers please!
Answer:
$6,291.70
Step-by-step explanation:
You're given the equation and you're given an x-value; 75,834. Just plug it in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = 6,291.70.
Answer:
$6,291.70
Step 1:
To find the monthly salary for somebody who sells $75,834 in cars, we need to first multiply that by 0.05, or 5%, since 0.05 has to get multiplied by s (sales) in the equation they provide us. We don't do anything with $2,500 (yet).
[tex]75,834*0.05=3791.70[/tex]
One of the options for our answer shows 3,791.7, but we are not finished with solving this problem, so 3,791.7 is not our answer.
Step 2:
After completing step 1, Superb Auto already provides new salespeople with $2,500. This means that whatever they sell (or don't sell), they would still get that $2,500. In step 1, we found out that our first number that replaces 0.05s is 3791.7, so we just have to add that to 2,500 to get our final answer.
[tex]3791.7+2500=6291.7[/tex]
Our final answer is $6,291.70, and that is the third option on our list of choices.
What is the area of a triangle whose vertices are (4,0), (2,
3), (8,-6)?(using distance formula)
a) 2 sq. units b) 0 sq. units c) 1 sq. units d) 4 sq. units
Answer:
The correct option is;
b) 0 sq, units
Step-by-step explanation:
The vertices of the triangle are;
(4, 0), (2, 3), (8, -6)
The distance formula fr finding the length of a segment is given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where, (x₁, y₁) and (x₂, y₂) are the coordinates of the end points of the line
For the points (4, 0) and (2, 3) , we have;
√((3 - 0)² + (2 -4)²) = √13
Distance from (4, 0) to (2, 3) = √13
For the points (4, 0) and (8, -6) , we have;
√((-6 - 0)² + (8 -4)²) = √13 =
Distance from (4, 0) to (8, -6) = 2·√13
For the points (2, 3) and (8, -6) , we have;
√((-6 - 3)² + (8 -2)²) = 3·√13 =
Distance from (2, 3) to (8, -6) = 3·√13
Therefore, the perimeter of the triangle = 6·√13
The semi perimeter s = 3·√13
The area of the triangle, [tex]A = \sqrt{s\cdot \left (s-a \right )\cdot \left (s-b \right ) \cdot \left ( s-c \right )}[/tex]
Where;
a, b, and c are the length of the sides of the triangle;
[tex]A = \sqrt{3\cdot \sqrt{3} \cdot \left (3\cdot \sqrt{3} -\sqrt{3} \right )\cdot \left (3\cdot \sqrt{3} -2 \cdot \sqrt{3} \right ) \cdot \left ( 3\cdot \sqrt{3} -3\cdot \sqrt{3} \right )} = 0[/tex]
Therefore, the area = 0 sq, units.
Jason is the captain of his basketball. The list below shows how many points Jason scores in each of the first 10 games of the season. Would the results show a sample or a population?
Since it was his first 10 games, it doesn’t represent all of the games so I thought it would be sample but many are saying it’s population
Answer:
Sample because it's only the first ten games of the season not of all the games in the season
Step-by-step explanation:
Answer:
Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.
Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..
It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.
The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.
what equation accurately represent this statement three less than 4 times a number is less than 12
Answer: 4t - 3 < 12
Step-by-step explanation:
Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, the volume of the flask is cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be times the original volume.
Answer:
The answer is below
Step-by-step explanation:
From the diagram of the flask attached, the diameter of the cylinder is 1 inch and its height (h) is 3 inches. The radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch
The volume of the cylinder = πr²h = π(0.5)² × 3 = 2.36 in³
While for the sphere the diameter is 4.5 in. The radius of the sphere R = diameter / 2 = 4.5/2 = 2.25
The volume of the sphere = 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³
Volume of the flask = The volume of the cylinder + The volume of the sphere = 2.36 + 47.71 = 50.07 in³
If the sphere and the cylinder are dilated by a scale factor of 2. For the cylinder its height (h') = 3/2 = 1.5 inch and its radius (r') = 0.5/2 = 0.025
The new volume of the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³
While for the sphere The radius of the sphere R' = 2.25 / 2 = 1.125
The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³
New Volume of the flask = The new volume of the cylinder + The new volume of the sphere = 0.29 + 5.96 = 6.25 in³
The ratio of the new volume to original volume = New Volume of the flask / Volume of the flask = 6.25 / 50.07 = 1/8 = 0.125
The resulting volume would be 0.125 times the original volume
Answer:
50.07 and 8 times
Step-by-step explanation:
1) Calculate volume of each figure using according formulas.
You should get:
Sphere: 47.71in^3
Cylinder: 2.36in^3
Now let's add, and you should get 50.07.
2) Let's dilate the dimensions/flask by 2 (multiply by 2)
4.5 * 2 = 9
1 * 2 = 2
3 * 2 = 6
Now with these dimensions you should get:
Sphere: 381.7in^3
Cylinder: 18.85in^3
This should add up to 400.55in^3
Divide new by original. 400.55 / 50.07 = 8
So it is 8 times larger.
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68
Answer:
x = 60
Step-by-step explanation:
Given
[tex]\sqrt{x+4}[/tex] - 7 = 1 ( add 7 to both sides )
[tex]\sqrt{x+4}[/tex] = 8 ( square both sides )
([tex]\sqrt{x+4}[/tex] )² = 8² , that is
x + 4 = 64 ( subtract 4 from both sides )
x = 60
A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.
Answer:
[tex]W= 4700+0.02S[/tex]
Step-by-step explanation:
Given that
W is the monthly wage
S is the monthly sales
According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)
Also plus 2% commission of sales made for the month added to the wage
we can model his/her wage as follows
[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]
Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]
HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f
Answer:
3d + f -2
Step-by-step explanation:
= 4f+4+3d-6-3f
= f+3d-6
= 3d+ f - 6
Please help i need this answered!!
Everything you answered so far looks good. Nice work.
For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.
Through trial and error, the two numbers we're after are 3 and -1
3 times -1 = -3
3 plus -1 = 2
We break up the 2x into 3x - 1x and factor like so...
3x^2 + 2x - 1
3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x
(3x^2+3x) + (-1x-1) ... pair up terms
3x(x+1) - 1(x+1) .... factor each parenthesis group
(3x-1)(x+1) ... pull out the gcf (x+1)
You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.
The answer to problem 10 is (3x-1)(x+1)Answer:
Step-by-step explanation:
MAKE EXAMPLES WHERE YOU USE THE DISCOUNT AND THE INCREASE OF PERCENTAGES
Answer:
once upon a time a dude went to a store. there was a dude jacket for 20% off.
Step-by-step explanation:
Now do the opposite. for exapmle, the price increased by 20 %.
what is the volume of 5 m 8m and 10.5m
Answer:
Volume = 5×8×10.5 = 420 meters3
Step-by-step explanation:
5×8×10.5
The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
4. A car is priced at $7200. The car dealer allows a customer to
pay a one-third deposit and 12 payments of $420 per month.
How much extra does it cost the customer?
Answer:
$240 extra
Step-by-step explanation:
1/3(7200) + 12(420) = 2400 + 5040 = 7440
7440 - 7200 = 240
The customer had to pay 1720 extra.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A car is priced at $7200.
If the deposit is one third = 7200/3
= 240
The amount after 12 payments will be
= 240 x 12
= 2880
total cost will be
= 2880 + 2400
= 5280
and, The customer had to pay extra amount
= 7200 - 5280
= 1720
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ5
The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.
The area of the shaded region in the regular polygon is 161.3 cm²
What is a regular polygon?
A regular polygon is a polygon in which all the sides are equal.
From the diagram, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.
For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:
a² + a² = 8²
2a² = 64
a² = 32
a = √32 = 5.7 cm
The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²
For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:
b² + b² = 18²
2b² = 324
b² = 162
b = √162 = 12.7 cm
The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²
The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²
The area of the shaded region in the regular polygon is 161.3 cm²
Find out more on regular polygon at: https://brainly.com/question/1592456
Answer:
it’s actually 130 or 130.0
Step-by-step explanation:
Charles has 24 marbles. He has 6
more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
6+x=24
Step-by-step explanation:
he has 6 more marbles than the blue
the amount of blue marbles is unknown
so let blue marble be x
we know that the total number of marbles is 24
so 6+x=24
I need help on this question!!!
Answer:
The answer is 17.
Step-by-step explanation:
200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.
Answer:
16
Step-by-step explanation:
the lcm for 3 and 4 is 12
200 ÷ 12 = 16.667
≈16
The common difference of an ap is -2 find its sum of first term is hundred and last term is -10 with full solution
Answer:
2520
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference.
To find the number of terms given [tex]a_{n}[/tex] = - 10 , d = - 2 and a₁ = 100, then
100 - 2(n - 1) = - 10 ( subtract 100 from both sides )
- 2(n - 1) = - 110 ( divide both sides by - 2 )
n - 1 = 55 ( add 1 to both sides )
n = 56 ← number of terms
Given n, a₁ and a₅₆ , then the sun of the terms is
[tex]S_{56}[/tex] = [tex]\frac{n}{2}[/tex] (a₁ + a₅₆ )
= [tex]\frac{56}{2}[/tex] (100 - 10) = 28 × 90 = 2520
