Answer:
1209
Step-by-step explanation:
| - 403 | × | - 3 |
= | 403 | × | 3 |
= 403 × 3
= 1209
A man gave his 8000$ as pocket money and his son 1000$ less.Express the girls money as a percentage of the total sum of money.
Answer:
About 89%
Step-by-step explanation:
8000 + 1000 = 9000.
To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.
8000/9000 = .8888 = 88.88 = 88.9% or about 89%.
Daniel took her dog for a walk. She decided to count how many dog ears. She passed on her walk. She passed 14 dogs. How many ears did she count?
Answer:
Each dog has 2 ears (unless a dog had genetic disorder)
So-
14 x 2
= 28
So she counted of 28 Ears of total
(honestly that's a weird thing to do but ok)
Answer:
14 x 2 = 28
Step-by-step explanation:
Each dog has 2 ears
14 dogs has 28 ears
50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y when x = –0.5.
Step-by-step explanation:
Since it's a direct variation
y = kx
where k is the constant of proportionality
To find the value of y when x = –0.5 we must first find the relationship between the variables
When
x = 3
y = 2
2 = 3k
Divide both sides by 3
[tex]k = \frac{3}{2} [/tex]
So the formula for the variation is
[tex]y = \frac{3}{2} x[/tex]When x = - 0.5 or - 1/2
[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]
We have the final answer as
[tex]y = - \frac{3}{4} [/tex]Hope this helps you
(x-1)(x+2)(x-3)(x+7)(x-5)/2x-2
=0
What can x be?
Answer:
see below
Step-by-step explanation:
Multiplying the equation by 2x - 2 on both sides to cancel out the denominator gives us (x - 1)(x + 2)(x - 3)(x + 7)(x - 5) = 0. Using Zero Product Property and setting each factor to 0, we get:
x - 1 = 0 or x + 2 = 0 or x - 3 = 0 or x + 7 = 0 or x - 5 = 0
x = 1, x = -2, x = 3, x = -7, x = 5
Unfortunately, x cannot be 1 as the numerator would become 0 and then the expression on the left side would become undefined so the final answer is x = -2, x = 3, x = 7, x = 5.
how many unique 10 digit numbers can be formed if the number 2 is in the first place and repetition is allowed?
Answer:
362880 ways
Step-by-step explanation:
Given
10 digits
Required
Number of 10 digits that can be formed if no repetition and 2 must always start;
Since digit 2 must always start and no repetition is allowed, then there are 9 digits left
Digit 2 can only take 1 position
9 digits can be arranged without repetition in 9! ways;
Calculating 9!
[tex]9! = 9 * 8 *7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]9! = 362880[/tex]
Number of arrangement = 1 * 362880
Number of arrangement = 362880 ways
Can anyone help me with this please and maybe explain it?..
Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?
Answer:
3600 i think
Step-by-step explanation:
Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2
Answer:
Quarter 3
Step-by-step explanation:
The quarter that would have been the optimal investment period is the third quarter.
What is the optimal investment period?
Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.
The optimal investment period is the period when the stock price is the lowest. This is the third quarter.
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What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)
Answer:
see explanation
Step-by-step explanation:
The minimum is at the vertex (- 3, 1 ), that is y = 1
Since the graph is a minimum then it opens vertically up U
The range of the values of y are therefore
range [ 1, ∞ )
Answer:
Graph would be nice.
Step-by-step explanation:
PLEASE HELP!!!
Write the correct geometric sequence formula for each of the sequences listed below
1st sequence:
1,3,9,27,…
2nd sequence:
400,200,100,50,…
3rd sequence:
4,8,16,32,…
4th sequence:
400,100,25,6.25,…
5th sequence:
1,5,25,125,…
6th sequence:
1000,500,250,125,…
7th sequence:
2,10,50,250,…
What are the geometric formulas???
Here are the options:
A.) y=1600(0.25)^x
B.) y=800(1/2)^x
C.) y=2/5(5)^x
D.) y=1/5(5)^x
E.) y=2000(1/2)^x
F.) y=1/3(3)^x
G.) y=2(2)^x
Please match the formulas with the correct sequence.
It’s a lot I know but I just absolutely suck at this stuff.
Answer:
1st sequence is F
2nd sequence is B
3rd sequence is G
4th sequence is A
5th sequence is D
6th sequence is E
7th sequence is C
Step-by-step explanation:
A) 1600*0.25= 400- the first term of the sequence
1600*0.25^2= 100- the second term
so it is 4th sequence
B) y=800* (1/2)^x
The first term is 800*1/2=400
The second term is 800*(1/2)^2= 800*1/4=200
the 2nd sequence
C) y= 2/5*5^x
The first term is y=0.4*5=2
The second term is y= 0.4*5^2=10
7th sequence
D) y=1/5* 5^x
The first term is y=1/5*5=1
The second term is y= 1/5 *5*5=5
The 5th sequence
E) y=2000*(1/2)^x
The first term of 2000*1/2=1000
The only sequence with such the first term is 6th sequence
F) y=1/3*3^x
y= 1/3*3=1 - the first term
y= 1/3*3*3=3
1st sequence
G) y= 2*2^x
y=2*2= 4 - the first term
it is the third sequence
There is a sequence of rigid transformations that takes A to A', B to B', and C to "
same sequence takes D to D'. Draw and label D':
Answer:
I think it's D
Step-by-step explanation:
Answer: I think its D
Step-by-step explanation:
Rigid transformation moves a shape without changing the size of the shape.
See attachment for the diagram that shows the position of D'
If x= √3+√2/√3-√2 find (i) x^2+1/x^2 (ii) x^4+1/x4.
Please give the right answer.
Answer:
i)= 98 ii)= 9602
Step-by-step explanation:
hope it helps
simplfy given equation using the distributive property 6 - (3x+10) + 4(2 - x) =15
Answer:
see below
Step-by-step explanation:
6 - (3x+10) + 4(2 - x) =15
Distribute
6 - 3x -10 +8 -4x = 15
Combine like terms
4 -7x = 15
Subtract 4 from each side
4 -7x-4 =15-4
-7x =11
Divide each side by -7
-7x/-7 = 11/-7
x = -11/7
32.
What is the value of x for ∆DEF?
HELP! Answer if you can!!
Step-by-step explanation:
[tex]c^{2} = {a}^{2} + { b}^{2} [/tex]
Pythagoras theorem
x²=12² + 5²
x²=144+25
x²=169
[tex]x = \sqrt{169} [/tex]
x=13
Answer:
x = 13
Step-by-step explanation:
Using the Pythagorean Theorem to find the missing hypotenuse side:
[tex]a^2+b^2=c^2[/tex]
12 and 5 are a and b. 'x' would be c.
[tex]12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\\sqrt{169}=\sqrt{c^2}\\\\\boxed{13=c}[/tex]
'x' should be equal to 13.
BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers
Answer:
Below
Step-by-step explanation:
For a given shape to be a rhombus, it should satisfy these conditions:
● The diagonals should intercept each others in the midpoint.
● The diagonals should be perpendicular.
● The sides should have the same length.
We will prove the conditions one by one.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's prove that the diagonals are perpendicular:
To do that we will write express them as vectors
The two vectors are EG and DF.
The coordinates of the four points are:
● E(0,2c)
● G (0,0)
● F (a+b, c)
● D (-a-b, c)
Now the coordinates of the vectors:
● EG (0-0,0-2c) => EG(0,-2c)
● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)
For the diagonals to be perpendicular the scalar product of EG and DF should be null.
● EG.DF = 0*(2a+2b)+(-2c)*0 = 0
So the diagonals are perpendicular.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's prove that the diagonals intercept each others at the midpoints.
The diagonals EG and DF should have the same midpoint.
● The midpoint of EG:
We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.
Then the midpoint is located at (0,c)
● The midpoint of DF:
We will use the midpoint formula.
The coordinates of the two points are:
● F (a+b,c)
● D(-a-b,c)
Let M be the midpoint of DF
●M( (a+b-a-b,c+c)
● M (0,2c)
So EG and DF have the same midpoint.
■■■■■■■■■■■■■■■■■■■■■■■■■■
There is no need to prove the last condition, since the two above guarante it.
But we can prove it using the pythagorian theorem.
You move down 5 units and up 5 units. You end at (1,3). Where did you start?
Answer:
(1, 3)
Step-by-step explanation:
Since up and down are opposites, the point didn't move at all.
I hope this helps!
pls ❤ and mark brainliest pls!
Please help me with these questions please.
Answer:
see image
Step-by-step explanation:
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answer:
Hi, there!!!
The solutions in pictures will help you.
Best of luck....
Becky's ship is 43 miles west all the harbor.
Clyde's yacht is a5 miles north from Beery. How
far is Clyde from the Harbor? Show your work.
С
x= Harbor
25
B.
43
Answer:
Clyde is 49.74 away from the harbor
Step-by-step explanation:
Here in this question, we are interested in knowing the distance of Clyde from the harbor.
The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.
We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.
To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.
Let’s call the distance we want to calculate h.
Mathematically;
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
I'LL GIVE BRAINLIEST !! FASTER
please provide explaination
Answer:
532
A
Step-by-step explanation:
A=86
B=180
C=94
D=266
now,
a+b+c+d_94
=86+180+94+266_94
=532
Given the following angles, what ray is the common side of ZCFD and ZDFE?
D
E
0
Ray FD
Ray FE
Ray FC
Answer:
ray df or ray fd because both of these letters are consecutive in both of the angles.
Step-by-step explanation:
Answer:
Answer is Ray FD
Step-by-step explanation:
Given the following angles, what ray is the common side of ∠CFD and ∠DFE?
A. Ray FC
B. Ray FE
C. Ray FD
A landscaping company placed an order for 40 new trees. The red oak trees cost $25 a piece and the sugar maples trees cost $18. If the total order was for $790, how many of each type of tree did they order?
Answer:
its 30 sugar maple trees and 10 red oak trees
Step-by-step explanation:
Number of red oak trees = 10
And, Number of sugar maples trees = 30
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A landscaping company placed an order for 40 new trees.
And, The red oak trees cost $25 a piece and the sugar maples trees cost $18. the total order was for $790.
Let number of red oak trees = x
And, Number of sugar maples trees = y
Hence, We can formulate;
⇒ x + y = 40
⇒ 25x + 18y = 790
By solving we get;
y = 30
x = 10
Thus, Number of red oak trees = 10
And, Number of sugar maples trees = 30
Learn more about the mathematical expression visit:
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I need help ASAP!! Please explain how to solve the problem
Answer:
B=.5*8*6=.5*48=24
h = 8
P=10+6+8=24
Surface area =2*24+24*8=48+192=240
Step-by-step explanation:
The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.
Height is given, h=8.
Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.
The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2). What is a reasonable time for it to take the baseball to land on the ground?
Answer:
7 seconds
Step-by-step explanation:
We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.
The factored form of the equation tells us ...
h(7) = -16(7 -7)(7 +2) = 0
So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.
_____
The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answer:
1,000
Step-by-step explanation:
First, there are 10,000 cents in $100.
So divide 10,000 by 10. (because 1 pencil is 10 cents)
1,000.
I hope this helps!
pls ❤ and mark brainliest pls
Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.
Answer:
The coordinates of the point Q is (4, 1)
Step-by-step explanation:
The given parameters are;
The directed line segment extends from R(-2, 4), to S(18, -6)
The ratio in which the point Q partitions the directed line segment = 3:7
Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS
Which gives;
(-2 + (18-(-2))×3/10, 4 +(-6 -4)×3/10) which is (4, 1)
The coordinates of the point Q = (4, 1)
We check the length from R to S is given by the relation for length as follows
[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
R(-2, 4) = (x₁, y₁)
S(18, -6) = (x₂, y₂)
Length of segment RS = 22.36
length from R to Q = 6.7086
We check RQ/RS = 6.7082/22.36 = 0.3
Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7
The coordinates of the point Q = (4, 1).
y=-2x+4 missing value
Answer:
y=-2x+4
x | y
0 | 4
2 | 0
Step-by-step explanation:
find the equation of the line of gradient 3 which passes through the point (0, 2).
Answer:
The answer is y = 3x + 2Step-by-step explanation:
To find the equation of the line given a point and the gradient, the formula to use is
y - y1 = m(x - x1)
where
m is the gradient and
( x1 , y1) is the point
From the question
The point is (0 , 2)
The gradient is 3
Substitute the values into the above formula
That's
y - 2 = 3( x - 0)
y - 2 = 3x
The final answer is
y = 3x + 2Hope this helps you
8(-7+n)=-128 please help
6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
Given the right triangle below, if AB = 4 and BC = 4, find AC.
A
B
C
AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
What is Pythagoras' Theorem?According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.
How to solve the question?In the question, we are given a right triangle, with sides AB = 4 and BC = 4.
We are asked to find AC.
To find AC, we will use the Pythagoras theorem, according to which, we can write:
AC² = AB² + BC²
or, AC² = 4² + 4²,
or, AC² = 16 + 16,
or, AC² = 32,
or, AC = √32,
or, AC = √(16 * 2) = 4√2.
Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
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