Answer: 125% increase
Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.
This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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please help due 5 mins
Answer:
SOLUTION:
The volume V of a prism is V = Bh, where B is the
area of a base and h is the height of the prism.
The volume is ==== 108 cm3
.
Step-by-step explanation:
What is the area of a rectangle with side length of 5/12 foot and 2/ 3 foot
Answer:
5/12 x 2/3 = 10/36 = 5/18 foot2
explain how you can determine if a triangle is a right triangle. (make it look like a middle schooler wrote it :) )
Answer:
if one of the angles is 90°
Step-by-step explanation:
when it has an angle that is 90° that means that it is a right triangle
let me know if you need more b/c I wasn't sure whether to make it more advanced for middle school lol
Hope this helps! :)
Maha got a phone call while she was watching a movie. After she hung up, she rewound 15 minutes of the movie tape. Which point on the number line below represents −15? AlternativeText A. Z B. Y C. X D. W
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the number line is not given. The general explanation is as follows;
First, record the time she hung up (say, time = x)
To rewind 15 minutes back means, x - 15
So, point on the number line will be x - 15
Take for instance
[tex]x = 45[/tex]
The point on the number line will be:
[tex]x - 15 = 45 - 15[/tex]
[tex]x - 15 = 30[/tex]
See attachment for illustration
Whats -0.5 rounded to the nearest 10th
Answer:
-0.5 is rounded to the nearest tenth
Step-by-step explanation:
Answer:
it would be -0.5
Step-by-step explanation:
tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.
whats the value of x
Answer:
x = 16
Step-by-step explanation:
The given angles are alternate angles and are congruent , then]
10x - 23 = 137 ( add 23 to both sides )
10x = 160 ( divide both sides by 10 )
x = 16
Juan and Bill share a 12-ounce bucket of clay. By the end of the week, Juan has used 1 6 of the bucket, and Bill has used 2 3 of the bucket of clay. How many ounces are left in the bucket?
Answer: 2 ounces
Step-by-step explanation:
Since Juan and Bill share a 12-ounce bucket of clay and Juan used 1/6 of the bucket, the quantity used by Juan will be:
= 1/6 × 12
= 2 ounce bucket of clay.
On the other hand, Bill used 2/3 of the bucket of clay. The quantity used will be:
= 2/3 × 12
= 8 ounce
Therefore, the quantity they both used will be:
= 2 ounce + 8 ounce
= 10 ounces.
The ounces left in the bucket will be:
= 12 ounces - 10 ounces
= 2 ounces
What is the sum of the first eight terms in this series?
2 + 10 + 50 + 250
A.
97,656
B.
156,250
C.
195,312
D.
317
Answer: c
Step-by-step explanation: because of the 2 in the first one there will be a 2 in the answer
The sum of the first eight terms in this series is 97,750.
We have,
We notice that each term in the series is obtained by multiplying the previous term by 5.
Therefore, this is a geometric series with a common ratio of 5.
We can use the formula for the sum of the first n terms of a geometric series:
[tex]S_n = a(1 - r^n)/(1 - r)[/tex]
where a is the first term, r is the common ratio, and n is the number of terms.
In this case,
a = 2, r = 5, and n = 4 (since we have four terms).
Substituting these values into the formula gives:
[tex]S_4 = 2(1 - 5^4)/(1 - 5)[/tex]
= 2 (-624)/(-4)
= 156
The sum of the first four terms is 156.
To find the sum of the first eight terms, we need to find the sum of the first four terms and then multiply by the common ratio raised to the power of 4:
[tex]S_8 = S_4 \times 5^4[/tex]
= 156 x 625
= 97,500
Adding the last term (250) to this sum gives:
= [tex]S_8[/tex] + 250
= 97,500 + 250
= 97,750
Therefore,
The sum of the first eight terms in this series is 97,750.
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is .02 equivalent to .002?
Answer:
No
Step-by-step explanation:
0.002 has one extra zero making it smaller than 0.02
Answer:
Step-by-step explanation:
.02 is the same thing as [tex]\frac{2}{100}=\frac{1}{50}[/tex]
.002 is the same thing as [tex]\frac{2}{1000}=\frac{1}{500}[/tex]
so, no, they are not equivalent.
Can someone help me with this please
Answer:
x = 61
Step-by-step explanation:
These 2 angles are supplementary which means they add up to 180:
2x - 6 + x + 3 = 180
3x - 3 = 180
3x = 183
x = 61
4/x + 2/y = 3 is that linear? explain
please help i need it for my final
Answer:
Yes
Step-by-step explanation:
Sue and oliver share £160 in the ratio 3:5
Work out how much more oliver get conpared to cue.
Answer:
£40
Step-by-step explanation:
3+5=8
160÷8= 20
20× 5=100
20×3=60
100-60=40
Answer:
£40
Step-by-step explanation:
160 shared between 3:5
3 + 5 = 8 (parts)
160 ÷ 8 = 20
20 = 1 part
Sue has 3 parts; (20 x 3) = £60
Oliver has 5 parts; (20 x 5) = £100
Work out how much more oliver get conpared to sue
oliver has £100, sue has £60
£100 - £60 = £40
oliver has £40 compared to sue
x^2 - 11x + 24 =0 in a b c form
Answer:
x^2-11x=-24
Step-by-step explanation:
Please help! This boxed is packed with cubes that measure on cubic foot.
Enter the volumes of the box in cubic feet.
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet
Find the sum of 4x^3 + 6x^2 +2x - 3 and 3x^3 +3x^2 -5x -5
Answer:
7x³ + 9x² - 3x - 8
Step-by-step explanation:
4x³ + 6x² + 2x - 3 + 3x³ + 3x² - 5x - 5 ← collect like terms
= 7x³ + 9x² - 3x - 8
A city has a population of 290,000 people. Suppose that each year the population grows by 3%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
403100 is the answer.Hope this helps
Using the diagram below, determine which
statement is NOT true.
Answer: C
Step-by-step explanation:
PLEASEEEEEEEEE HELPPPPPP IM BEGGING UUUUUUUU PLEASEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is that they are alternate interior angle and alternate interior are always equal.
The equation y = Mx + B corresponds to a line that fits the data in the scatter plot below. What are the signs of M and B?
Please help ASAP
Select the correct answer.
A number is selected at random from the set ( 2,3,4,...10). Which event, by definition, covers the entire sample space of this experiment
A) The number is greater that 2.
B) The number is not divisible by 5.
C) The number is even or less that 12.
D) the number is neither prime nor composite.
E) The square root of the number is less than 3.
Answer:
A
Step-by-step explanation:
Work out the area of the parallelogram.
Answer:
Step-by-step explanation:
it does not show the problem
A factory found that 8% of its produced light bulbs are defective.
If the factory produces 500 light bulbs, how many light bulbs are expected to be defective?
Answer:
40
Step-by-step explanation:
no. of defective light bulbs= 8/100×500
= 40
Can someone help me? Fast!
Answer:
1/3 n - 3 > 6; n = 9
Step-by-step explanation:
1/3(9) - 3 > 6
3 - 3 > 6
0 > 6
WILL GIVE BRAILIEST!!
Answer:
d . 9 ^ 2
Step-by-step explanation:
9 ^ 3 * 9 ^ 4 / 9 ^ 5
= 81
= 9 ^ 2
so the answer is D
Mark brainliest
[tex]d. \: {9}^{2} [/tex] ✅
Step-by-step explanation:
[tex] \frac{ {9}^{3} \times {9}^{4} }{ {9}^{5} } \\ = \frac{ {9}^{3 + 4} }{ {9}^{5} } \\ = \frac{ {9}^{7} }{ {9}^{5} } \\ = {9}^{7 - 5} \\ = {9}^{2} [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
hey! pls help i’ll give brainliest
Answer:
Option 1
Flood
Step-by-step explanation:
As she lives next to the river heavy rains can cause the water to overflow
simplify -3(4u-56b)???
-12u+168b is the answer
HELP ASAP! Math - Pixel Art- Area and Perimeter i will mark brainly please help!!!!!!!
Answer:
Area
4 and width 8 equals 32
Perimeter
length 4 and width 8 equals 24
Area
length 20 and width 22 equals 440
Perimeter
length 20 and width 22 equals 88
Area
length 12 and width 8 equals 96
Perimeter
length 12 and width 8 equals 40
Area
length 15 and width 20 equals 300
Perimeter
length 15 and width 20 equals 70
Isn't this what you are asking for or is it something else. I hope this helps, If I did the answer wrong tell me and I will change it
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
HELP ILL GIVE BRAINLIEST!!
Answer:
the answer is 8$
Step-by-step explanation: