Answer:
(g-h)(a) = -a² + 2a + 3
Step-by-step explanation:
To find (g-h)(a) , we will follow the steps below:
From the question given
g(a)=4a+3
h(a)=a²+2a
so
(g-h)(a) = g(a) - h(a)
= 4a + 3 - (a² + 2a)
= 4a + 3 - a² - 2a
= 2a + 3 - a²
= -a² + 2a + 3
(g-h)(a) = -a² + 2a + 3
If you use exactly eight cups of cauliflower to make 6 veggie burritos and if you continue to make burritos using the same recipe how many burritos can he make with 12 cups of cauliflower
Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos
Triangles ABC and CDE are mathematically similar.
a) Work out the length of DE.
b) Work out the length of AB.
Answer:
Step-by-step explanation:
The trick here is to notice that :
[tex]\frac{AB}{DC}[/tex]=[tex]\frac{BC}{DE}[/tex]=[tex]\frac{AC}{CE}[/tex]Now let's replace by the values we khow :
[tex]\frac{AB}{18}[/tex]=[tex]\frac{8}{24}[/tex]=[tex]\frac{5}{DE}[/tex] 8/24 is 1/3 to make it simple Now AB= 18*(1/3)=6 AND DE= 5*(3/1)=15So AB=6 cm and DE=15 cm
From the given information in the diagram
a) The length of DE is 15cm and
b) The length of AB is 6cm
From the question,
Triangles ABC and CDE are mathematically similar.
a) To determine the length of DE
Since ΔABC is similar to ΔCDE
By similar triangles theorem, we can write that
[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]
From the diagram
/BC/ = 5cm
/CA/ = 8cm
/EC/ = 24 cm
/DE/ = ?
Putting these values into
[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]
We get
[tex]\frac{5}{/DE/}=\frac{8}{24}[/tex]
∴ [tex]8 \times /DE/ = 5 \times 24[/tex]
Now, divide both sides by 8
[tex]\frac{8 \times /DE/}{8}= \frac{5 \times 24}{8}[/tex]
[tex]/DE/ = \frac{120}{8}[/tex]
/DE/ = 15cm
b) To work out the length of AB
Also, by similar triangles theorem, we can write that
[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]
From the diagram
/AB/ = ?
/CD/ = 18cm
/CA/ = 8cm
/EC/ = 24 cm
Putting these values into
[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]
We get
[tex]\frac{/AB/}{18}=\frac{8}{24}[/tex]
Now, multiply both sides by 18, that is
[tex]18 \times \frac{/AB/}{18}=\frac{8}{24} \times 18[/tex]
[tex]/AB/ = \frac{144}{24}[/tex]
/AB/ = 6cm
Hence,
a) The length of DE is 15cm and
b) The length of AB is 6cm
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What is the volume of the cone below?
A. 5112 units 3
B. 3408 units 3
C. 852st units 3
D. 10,2247 units 3
Answer:
V =3408 pi units^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h
The radius is 12 and the height is 71
V = 1/3 pi (12)^2 *71
V =3408 pi units^3
Answer:
B
Step-by-step explanation:
Use the formula for the volume of a cone.
v = 1/3πr²h
r = 12
h = 71
v = 1/3π(12)²(71)
v = 1/3π(10224)
v = 3408π
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10
The arithmetic sequences 1, 5, 9, 13,... and 1, 8, 15, 22,... have infinitely many terms in common. Calculate the sum of the first three common terms.
Answer:
87
Step-by-step explanation:
Sequence 1 has common difference of 4 and sequence 2 has 7
The first terms are common
We need a new sequence with common difference of:
LCM(4,7)= 4*7=28So the next common term is 1+28= 29 and the following one is 29+28= 57
Sum of 3 terms:
1+29+57= 87Answer:
87
Step-by-step explanation:
The first sequence:
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...
The second sequence:
1, 8, 15, 22, 29, 36, 43, 50, 57, 63...
The first three common terms are 1, 29, 57.
The sum of the first three common terms:
1 + 29 + 57
= 87
for how many values of k will x² + kx + 12 factor?
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
Q3. A student plans a method to prepare pure crystals of copper sulfate.
The student's method is
1. Add one spatula of calcium carbonate to dilute hydrochloric acid in a beaker.
2. When the fizzing stops, heat the solution with a bunsen burner until all the liquid is gone.
The method contains several errors and does not produce copper sulfate crystals.
5
Explain the improvements the student should make to the method so that pure crystals of
copper sulfate are produced. (6) * S
Answer:
1) The student didn't add copper sulfate but instead he added calcium carbonate.
2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.
3) He should use copper carbonate not calcium carbonate.
4) Sulfuric acid was added instead of hydrochloric acid.
5) Add solid excessively so that all of the acid is retained.
6) Filter the solution to remove unreacted solid.
7) Heat gently, so the crystals will start to appear.
The reactants in this reaction ought to have been copper carbonate and sulfuric acid.
The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;
The student should use copper carbonate instead of calcium carbonate The student should use sulfuric acid instead of hydrochloric acid.If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3(s) + H2SO(aq) → CuSO4(aq) + CO2(g) + H2O(l).
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Can my two questions be answered? Here are the ingredients for making fish pie for 6 people. 180 g flour 240 g flour 4 eggs 180 ml milk a. Claire makes a fish pie for 4 people. Work out how much flour she needs. b. Ian makes a fish pie for 9 people. Work out how much milk he needs
Answer:
a. 120 grams.
b. 270 ml.
Step-by-step explanation:
a. A fish pie for 6 will need to use 180 grams of flour. That means that a fish pie for 1 will use 180 / 6 = 30 grams of flour. Claire needs to make a fish pie for 4, so she will use 30 * 4 = 120 grams of flour.
b. A fish pie for 6 people requires 180 ml milk. That means that a fish pie for 1 will use 180 / 6 = 30 millilitres of milk. Ian needs to make a fish pie for 9, so he will use 30 * 9 = 270 ml of milk.
Hope this helps!
Acollus
Find the value of x that makes All B.
2
4
5
Z1 = 3x - 160 and 24 = x + 20
x = [?]
Answer:
x = 90°
Step-by-step explanation:
A // B
When two parallel lines are crossed by a transversal, the angles in matching corners are called corresponding angles and they are equal.
∠1 = ∠ 4
3x - 160 = x + 20
Add 160 to both sides
3x - 160 + 160 = x + 20 + 160
3x = x + 180
Subtract x from both sides
3x - x = x -x +180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
18 dogs are in a dog show the number of dogs in the show. The number of dogs in the show was 6 times the number of handlers how many handlers are in the show
Answer:
H = 3 handlers
There are 3 handlers in the show.
Step-by-step explanation:
Given;
Number of dogs in the show N = 18 dogs
Number of handler in the show H;
The number of dogs in the show was 6 times the number of handlers
N = 6H
H = N/6
Substituting the value of N;
H = 18/6
H = 3
There are 3 handlers in the show.
Answer:
H = 3 handlers
Step-by-step explanation:
Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (negative 1 + 3 x) 4(1 + 3x)
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
Answer:
B. 1/4(1-3x)
Step-by-step explanation:
Calculate: 1/1×3 + 1/3×5 + ... + 1/47×49 .
Answer: 1/1x3+1/3x5 = 14/3 or 4 2/3
Step-by-step explanation:
And please, next time give the problem fully.
Kaitlin paid $16.60 for 33.2 centimeters of wire.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
Step-by-step explanation:
$0.50 per centimeters i think
In terms of x? pls solve and show your work! Will give u brainliest!
Answer:
[tex] \sqrt{ {x}^{2} - 1 } [/tex]
Solution,
base=1
perpendicular=?
hypotenuse=X
now,
using Pythagoras theorem,
x^2=p^2+b^2
or, x^2=p^2+1^2
or,p^2=x^2-1
or, p=√x^2-1
tan theta=perpendicular/ base
tan theta =√x^2-1/1
tan theta=√x^2-1
z=tan theta
z=√x^2-1
Hope this helps...
Good luck on your assignment..
Answer:
[tex]\sqrt{x^{2}-1}}[/tex].
Step-by-step explanation:
The tangent of theta means that you are trying to find opposite over adjacent.
You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.
The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].
When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]
That is [tex]\sqrt{x^{2}-1}}[/tex].
So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].
Hope this helps!
Raven earns extra money when her neighbors are on vacation. Raven is paid $12 per day when she cares for the Martin family's cat. She paid $5.50 per day when she waters the Clark Family's pants.Write and simplify an expression to represent how much Raven earns if she performs both jobs for n days. Explain what the simplified expression means.
Answer:
12n + 5.50
Step-by-step explanation:
Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50
The following quadrilateral is a parallelogram.
J
M
115°
?
K
L
The measure of angle Lis — degrees.
Answer:
65
Step-by-step explanation:
Angle M and angle L are supplementary angles, so they add up to 180°.
180 - 115
= 65
The measure of angle L is 65 degrees.
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
HELP ASAP!
convert to slope-intercept form with steps please :)
6x > 2y = 5
Answer:
y < 3x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
6x > 2y - 5
Adding 5 to both sides
=> 6x + 5 > 2y
=> 2y < 6x+5
Dividing both sides by 2
=> y < [tex]\frac{6x+5}{2}[/tex]
=> y < [tex]\frac{6x}{2} + \frac{5}{2}[/tex]
=> y < 3x + [tex]\frac{5}{2}[/tex]
This is the required slope intercept form in the form [tex]y = mx+b[/tex]
Are the area of a square and the length of its side directly proportional quantities?
Answer:
Not directly proportional
Yes, The area of a square and the length of its side is directly proportional to each other.
A statement is to justify that the area of a square and the length of its side are directly proportional quantities?
What is a square?A Square is 4 sides geometric shape that has an equal length of sides and always has 90° at its vertices.
Here the area of square = a^2
Where a is the side of the square,
understand by, either way, let we have two square 1 with side 1cm and other with side 2cm.
Now the area of both the squares is 1 and 4 square cm. So area will increase if the length of this side increases or vice versa.
Thus, Yes, The area of a square and the length of its side is directly proportional to each other.
Learn more about squares here:
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Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
if this helped please rate, thanks, and mark brainliest :)
A bakery used 6.25 cups of flour this morning to make 5 batches of cookies. How much flour went into each batch of cookies?
Answer: 1.25 cups of flour each
Step-by-step explanation:
6.25 cups is for 5 batches of cookies. To find how much flour goes into each batch, divide 6.25 by 5.
6.25 / 5 = 1.25
Answer:
1.3 cups
Step-by-step explanation:
If 6.25 cups were used for 5 batches, then 1 batch will be 6.25 divided by 5 = 1.3 cups
Hope this helps
Which of the following is a radical equation? x + StartRoot 5 EndRoot = 12 x squared = 16 3 + x StartRoot 7 EndRoot = 13 7 StartRoot x EndRoot = 14
Answer:
x = 3
Step-by-step explanation:
[tex](8x-8)^{3/2}=64[/tex]
Multiply both sides by the exponent 2/3.
[tex]8x - 8 = 64^{2/3}[/tex]
Solve for the exponent.
[tex]8x-8=16[/tex]
Add 8 to both sides.
[tex]8x = 16+8[/tex]
[tex]8x=24[/tex]
Divide 8 into both sides.
[tex]x=24/8[/tex]
[tex]x=3[/tex]
Answer:
the answer is A
Step-by-step explanation:
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5 (m +10) Which equation shows this formula solved for m? A. M = P − 5 / 10 B. M = 5P − 50 C. M = P − 50 / 5 D. M = P/5 − 50
Answer:
m = p/5 -10
m= (p-50)/5
Step-by-step explanation:
What we practically want to here is to make m the subject of the formula.
Start by opening the brackets
P = 5m + 50
P-50 = 5m
Divide through by 5
(P-50)/5 = m
P/5 -50/5 = m
P/5 -10 = m
The option that looks probable is C ; M = (P-50)/5
Answer:
D.) m=P−505
Step-by-step explanation:
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
y=(x+9)÷(x-3)
Find the value of y when x=5
Answer:
7
Step-by-step explanation:
Simply plug in 5 for x
y = (5 + 9)/(5 - 3)
y = 14/2
y = 7
Answer:
y=(5+9)÷(5-3)
y =14÷2
y=7
if anyone can help thank you sm
Answer:
D.
Step-by-step explanation:
= 14x + 10 is great than or equal to 9x + 15
= 14x is greater than or equal to 9x + 5
= 5x is greater than or equal to 5
= x is greater than or equal to 1
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))