Answer:
2
Step-by-step explanation:
It's 2 because as you can see in the botton 4/10 and 8/20, 4 x 2=8 and 10 x 2=20. It's like saying you're multiplying the same thing for the top and bottom of both fractions. So, the two fractions on the top with the juice is getting multiplied by 4.
Answer:
2
Step-by-step explanation:
24÷6=4
knowing this you then divide 8 by 4 to get the numerator
8÷4=2
Negative five times two
Answer:
-10
Step-by-step explanation:
When multiplying a negative number by a positive number, you multiply the numbers normally and then add on a negative sign. When dealing with signs in multiplication/division, two positives make a positive, two negatives make a positive, and one negative and one positive make a negative.
f(x)=-2(x-4)^2+8 find the vertex
Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597
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What is mZD? *
B
50°
F
250
Ε
650
А.
Answer:
[tex] m\angle D = 40\degree[/tex]
Step-by-step explanation:
[tex] m\angle DEC = 25\degree [/tex]
(Vertical angles)
[tex] m\angle DCE = 180\degree - 65\degree [/tex]
(Linear pair angles)
[tex] m\angle DCE = 115\degree [/tex]
In [tex] \triangle DCE[/tex]
By interior angle sum postulate of a triangle
[tex] m\angle D = 180\degree-(115\degree + 25\degree) [/tex]
[tex] m\angle D = 180\degree-140\degree[/tex]
[tex] m\angle D = 40\degree[/tex]
Ms. Brodie drew these box-and-whisker plots to represent her students' scores on the mid-year test and the final exam.
What do the plots tell you about the test scores of Ms. Brodie's class?
Answer:
The scores of the final exam are, in general, lower than the scores in the mid-term exam.
Step-by-step explanation:
First a little description of these graphs.
The first interval (only a line) represents the bottom 25% of the sample.
The second interval (the left part of the rectangle) represents the lower quartile, which is another 25% of the sample.
The third interval, the right part of the rectangle, represents the upper quartile, which is another 25% of the sample.
And the final segment represents the top 25%.
Looking at the first graph, we can see that the worst scores (for the bottom 25%) are between 44 and 63.
While in the second graph, the wors scores are between 44 and 59, this means that we have more people with bad scores in the final exam.
Now if we look at the lower quartile in the first graph, we can see that the range of scores is between 63 and 74.
While in the second graph the range is between 59 and 71.
Again, we can see that in the final exam the scores dropped a bit in this quartile.
In the upper quartile, we have a similar case.
In the first graph, the scores go between 74 and 81, while in the second graph the scores go between 71 and 79.
And in the final segment, we also can see a drop in the scores, because in the first graph the range is from 81 to 93
while in the second graph the range is from 79 and 92.
So in all the "segments", we can see that the scores dropped. And this is the only conclusion we can make from the graphs, the scores of the final exam are, in general, lower than the scores in the mid-term exam.
Factorise 5a^2-6a
^^^^^^^^
Answer:
a(5a - 6)
Step-by-step explanation:
5a² - 6a
Common factor: a
Factored:
a(5a - 6)
What is the volume of this solid?
Answer:
175 in³
Step-by-step explanation:
First the area of the triangle:
S: ½a×b×SinC
½×7in×10in×Sin90°===> 35in²
and now the volume
35 in²×5 in=175 in³
helpppp assaaaaaaap
determine the equation of line (AB)
A(I;1) and B(0;5)
what is the height of the tree
A. 156 ft
B. 100 ft
C. 80 ft
D. 25 ft
Answer:
B
Step-by-step explanation:
You first must find the conversion rate. Since you know a 4 ft tall object produces a 5 foot long shadow, you simply divide 4 by 5. This gives you 0.8. Now that you have your conversion rate, you multiply it by the shadow the tree casts, that being 125, and your answer is B, 100.
find the inverse f(x) = 3х^2 - 1
Answer:
What do you mean?
Step-by-step explanation:
You deposit $100 in an account that pays an annual rate of 4%. How much is in the account after 12 years?
Answer:
the answer $1,236
Step-by-step explanation:
i’ll mark branliest plzzz answer
Answer:
AB = 10 m
Step-by-step explanation:
Given that <ACB = <ECD, then triangles ABC and EDC are similar.
Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;
[tex]\frac{x}{6}[/tex] = [tex]\frac{45}{75}[/tex]
45x = 6 x 75
45x = 450
x = [tex]\frac{450}{45}[/tex]
x = 10
The height of the solar panel is determined to be 10 m.
HELP!! ILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
youre welcome
plz help me fast Thomas goes out to eat at a restaurant and orders fajitas for $12.95 and orders a soft drink for $1.50. Tax is 7% on his total order, and thomas plans to leave with a 20% tip on the entire bill including tax. How much will his dinner cost including tax and tip.
Answer:
$18.55
Step-by-step explanation:
I added the meal and drink then used a calculator and addded that total plus 7% of it then I added 20% of that to get 18.55
12.95+1.50 = x
x + 7% = y
y+ 20%
15.4 = -2.1 + a
0.2
help pleasee
Answer:
a = 3.5
Step-by-step explanation:
[tex]15.4=-2.1+\frac{a}{0.2} \\\\\frac{a}{0.2} =15.4+2.1\\\\\frac{a}{0.2} =17.5\\\\a=3.5[/tex]
hi can someone help me with this?
Answer:
h = 4.5 units
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 6.75 and b = 3 , then
[tex]\frac{1}{2}[/tex] × 3h = 6.75
1.5h = 6.75 ( divide both sides by 1.5 )
h = 4.5
we have
base [b]=3 units
height [h]=x units
area of triangle =6.75 square units
we have
area of triangle =1/2 b×h
6.75 square units =1/2×3×x
x=6.75×2/3=4.5units
so height is 4.5 units.
I put a picture of the question but I am confused on how to find the value of x.If you could provide a explanation that would be amazing! :D
Answer:
Hope this helps :)
Step-by-step explanation:
Supplementary angles are angles whose measures sum to 180°.
equation for supplementary angle~ a+b=180
Example:
2x+(2x–2)=180
4x–2=180
4x=182
x=45.5
Answer:
x = 100.5
Step-by-step explanation:
Supplementary angles are two angles that have a sum of 180°. THIS MEANS WE'RE ADDING.
We can use distributive property to solve this equation.
x + (x-21) = 180°.
x + x - 21 = 180°.
Now, we can combine like terms.
2x - 21 = 180.
Since there is a subtraction sign in front of the number 21, we do the opposite operation (addition).
Next, we add 21 to 180.
180 + 21 = 201.
2x = 201
Lastly, we divide 201 by 2.
The quotient is 100.5.
100.5 is the final answer.
Therefore, 100.5 is the value of x.
We can check our answer to make sure.
(100.5 - 21) + 100.5 =
79.5 + 100.5 = 180°.
Varies directly as m
A)k=dm
B)d=k/m
C)m=k/d
D)d=km
Answer:
d = km
Step-by-step explanation:
d Varies directly as m
This is written mathematically as :
d ∝ m
d = km
Where k is the constant k of proportionality
Option D)d=km is the correct option.
The two photos are both for the same question please help I dont know how to solve the revered graph
Answer:
point b is plotted incorrectly
Step-by-step explanation:
question is below!!!!
Answer:
Order the numbers from least to greatest.
75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130
Minimum is 75
Q1 is 91.5
The median is 103.
Q3 is 116.5
Maximum is 130
Now, look at the answer choices.
B has the incorrect median
D has incorrect Q1.
A has incorrect Q3.
C is the answer.
find the length of the segment pls help
Answer: 5.1
Step-by-step explanation:
pythagorean theorem: a^2+b^2=c^2
c^2-b^2=a^2 (switch around some things)
(14.9)^2 - (14)^2 = x^2 (insert values) c=14.9,b=14,a=x
222.01 - 196 = x^2
26.01 = x^2
5.1 = x
Answer:
x = 5.1
Step-by-step explanation:
The radius of the circle is 14.9
Using Pythagoras' identity in the right triangle on the left where the hypotenuse is the radius
x² + 14² = 14.9²
x² + 196 = 222.01 ( subtract 196 from both sides )
x² = 26.01 ( take the square root of both sides )
x = [tex]\sqrt{26.01}[/tex] = 5.1
Which scenario could be best represented by the graph?
A a ballon descending
B a car increasing speed
C a person climbing up the stairs
D a child swinging on a swing
Answer:
I think swinging.
Step-by-step explanation:
I think this because that is the only one that would explain why the distance decreases and increases.
It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?
STEP BY STEP PLZZ PLEASE PLZZZZZ
Answer:
$30 (I think)
Step-by-step explanation:
because you have 30 cupcakes and selling 1 for a dollar but it may be $20.25 if you have to subtract the $9.75 that you used to buy the cupcakes
Please somebody help me
The length of a rectangle is 12 feet more than twice the width. The area of the rectangle is 320 square feet
Vera and her three sisters received the same amount of money to go to the school festival. Each girl spent $12. Afterward, the girls had $24 altogether.
Which equation can be used to determine the amount of money, m, each girl received?
Multiple choice question.
Answer:
Each girl (m) had $18.
Step-by-step explanation:
They each had $18.Then, they each spent $12.So, they each have $6; 6x4 = $24 leftThe Equation to determine the amount of money, m, each girl received is 4m = 72 or m = 12(4) + 24
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:
Each girl spent $12.
Afterward, the girls had $24 altogether.
let each Girl received amount of $x.
So, the four spend = 12 x 4 = $48
Then, the total they have = 48 + 24 = $72
So, each of Girl have = 72/ 4 = $18.
Learn more about Unitary Method here:
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1. What is the equation of a parabola that has a vertex at (-2, 4) and goes through the point (0,8)?
Answer:
y - k = (x + 2)^2
Step-by-step explanation:
The vertex equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) is the vertex.
We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.
8 - 4 = a(0 + 2)^2, or
4 = 4a, so a must be 1.
Then the desired equation is:
y - k = (x + 2)^2
A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi
Answer:
Step-by-step explanation:
450,000=2/3(3.14)r
450,000 times 3/2=2/3(3.14)r times 3/2
675,000=3.14r
675,000/3.14=3.14r/3.14
about 214968.15287=r
So now we know r. We can use it to find the area of the circle
Pi times r squared
3.14 times 214968.15287 squared
area equals about 15573.44815
The area of the hemisphere is 45065.41
How to determine the area?The given parameters are:
Shape = Hemisphere
Volume = 450000
The volume is calculated as:
Volume = 2/3pi r^3
This gives
450,000=2/3 * 3.14 * r^3
Solve for r^3
r^3 = 450000 * 3/(2 * 3.14)
This gives
r^3 = 214968.152
Take the cube roots
r = 59.9
The area is then calculated as;
Area = 4pi r^2
This gives
Area = 4 * 3.14 * 59.9^2
Evaluate
Area = 45065.41
Hence, the area of the hemisphere is 45065.41
Read more about areas at:
https://brainly.com/question/24487155
An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof.
a) Draw a sketch showing all the information you have right now.
b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).
c) What is the distance of the vertical drop from the bridge into the moat?
d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.
Answer:
Step-by-step explanation:
IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!
Answer:
part a:
x lengths = 6
unit lengths = 2
part b:
6x+2
Step-by-step explanation:
You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2
Answer:
Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.
Step-by-step explanation:
25/2 of 40kg please help
[tex] \bf \huge 500 \: k.g[/tex]
Step-by-step explanation:
Given that:25/2 of 40 k.gTo find:simplify Explanation:⟼ 25/2 of 40 k.g
⟼ [tex]\cancel{25/2}[/tex] × 40 k.g
⟼ 12•5 × 40 k.g
⟼ 500 k.g
∴ 25/2 × 40 k.g = 500 k.g
Hence simplified ☑️Answer:
500kg
Step-by-step explanation:
as we know "OF" in mathematics means to multiply, so you have two ways
FIRST WAY:
Simplify 25/2 x 40so it will be 25 x 20 and answer will be = 500SECOND WAY:
25/2 x 40 = 1000/2 simplify= 500i hope its clear