The requried simplified value of 4a is 16. Option C is correct.
What is simplification?Simplification is the process of reducing a mathematical expression to its simplest form by combining like terms, using the distributive property, and performing other algebraic operations.
If b=3, then substituting in the first equation, we get:
a + 3 = 7
Solving for a:
a = 4
Now, 4a = 4 x 4 = 16.
Therefore, the answer is C. 16.
Learn more about simplification here:
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When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?
Answer:
Step-by-step explanation: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block that remained
Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
5. A raincloud contains 2500 litres of water. The cloud is decreasing in size at
a rate of 4.3% per hour. Calculate the volume of water in the cloud in 8
hours time.
Answer:
Volume 1758.88 litres
Step-by-step explanation:
[tex]P = 2500. \ r = 4.3\% = \frac{4.3}{100} = 0.043, t = 8\\\\Volume = P(1 - r)^t\\\\[/tex]
[tex]= 2500(1-0.043)^8\\\\= 2500 \times 0.70355\\\\= 1758.88 \ litres[/tex]
A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
Answer:
[tex]Area = 26478cm^2[/tex]
Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout
[tex]Area = \frac{\pi r^2}{2}[/tex]
Where
[tex]r = 60cm[/tex]
So:
[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]
[tex]A_1 = \frac{11304}{2}[/tex]
[tex]A_1 = 5652cm^2[/tex]
Next, the area of the complete trapezium
[tex]Area= \frac{1}{2}(a + b) * h[/tex]
Where
[tex]a = 300[/tex]
[tex]b = 2 * r = 2 * 60 = 120[/tex]
[tex]h = 153[/tex]
So:
[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]
[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]
[tex]A_2 = 32130cm^2[/tex]
The area of the desk is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = 32130cm^2 - 5652cm^2[/tex]
[tex]Area = 26478cm^2[/tex]
Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.
Answer:
c. 125.6
Step-by-step explanation:
Pi= 3.14
r= d/2 = 40/2 = 20
[tex]2\pi \: r[/tex]
= 2 × 3.14 × 20
=125.6
PLS HELP I WILL GIVE BRIANLY!
Francine bought 3 skirts that cost $2500 each before the discount. What was her total after
the discount?
Please help with this ASAP
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
Can somebody help with this
Answer:
B
Step-by-step explanation:
Domain is the x value and it is asking your for the coordinates with the same x value.
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.
Answer:
9j
Step-by-step explanation:
vector AB means going to B from A.
= pos. final - pos. initial
= pos.B - pos.A
= (2i + 4j) - (2i - 5j)
= 2i + 4j - 2i + 5j
= 9j
HELP WILL COUNT BRAINLIEST
PLEASE HELP GONNA FAIL WILL GIVE BRAINLESS
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Write each number as a fraction or Mixed number.
(Please help! I'm trying to promote!)
Answer:
0.7 repeating is 7/9
0.04 repeating is 4/99
4.45 repeating 4 4/11
2.19191919...... is 2 19/99
hope this helps
have a good day :)
Step-by-step explanation:
find and interpret the slope
Answer:
y interpret is 60
slope 60/4=20x
hope this helps
have a good day :)
Step-by-step explanation:
In the field of calculus there is an opposite function to differentiation. What is the name of this function that is used to determine the area under a curve?
Integration
Separation
Agglutination
Conglomeration
Answer:
Integration
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration TechniquesAntiderivativesArea under the curveApplication of IntegrationStep-by-step explanation:
Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.
Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x
Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1
using the triangle 45o -45o -90o theorem solve this triangle. please
Answer:
The length of the leg is 11 units.
Step-by-step explanation:
The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:
[tex]h = \sqrt{2} \cdot l[/tex] (1)
Where:
[tex]l[/tex] - Length of the leg, in units.
[tex]h[/tex] - Hypotenuse, in units.
If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:
[tex]l = \frac{h}{\sqrt{2}}[/tex]
[tex]l = 11[/tex]
The length of the leg is 11 units.
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
Find x in each image below. Simplify any radicals.
To Find :
The value of x.
Solution :
We know, when two chords intersect outside the circle.
[tex]21\times ( 21 + 45 ) = x \times ( x+5x)\\\\1386 = 6x^2\\\\x^2 = 231\\\\x = \sqrt{231}[/tex]
Hence, this is the required solution.
Which expression is represented by this model
Answer:
A
Step-by-step explanation:
The distance between 0 and 4/6 is 4/6. This distance is repeted two times
so we have 4/6 + 4/6 or 2 x 4/6
The park was muddy and the dogs’ paws got muddy while playing. Jen has wipes to clean the dogs’ paws. It takes one wipe to clean each paw. How many wipes will they need?
pls give me the correct answer
Answer:
A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.
Jen will need 4 wipes for each paw
Could you help ? It says “ a nursery plants a new tree and attaches a guy wire to help support the tree while it’s roots take hold. An eight foot wire is attached to the tree and to a stake in the ground the angle of elevation of the connection with the tree is 42 degrees . Find the nearest tenth of a foot, the height of the connection point on the tree” .
Answer:
5.4'
Step-by-step explanation:
See diagram attached.
The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.
Hence the height is the length of the hypotenuse multiplied by sin(42°)
H = 8sin(42°) = 8 *0.6691 = 5.353'
(see similar or identical question 23903470)
please provide a solution
Points A, B, C, and D are the vertices of a square. Points E and F are the center of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?
Answer:
8 sq units
Step-by-step explanation:
to find the area of shaded region:
area of square minus sum of areas of each semi-circle
A(square) = 6² = 36
A (semi-circle) = πr²/2
= π3²/2
= 4.5π
Since there are two semi-circles, that makes one complete circle with an area of 9π
A(circle) ≈ 28 sq units
36-28 = 8 sq units
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
I NEED AN ANSWER ASAP PLEASE!!!
Answer:
40% properties are Semi-detached
Step-by-step explanation:
Given,
Percentage of Bungalow = 10%
Percentage of Detached properties = 30%
Percentage of Apartments = 20%
∴Total percentage of properties deducting the semi-detached properties
= (10 + 30 + 20) %
= 60%
∴ Percentage of semi detached properties = (100 - 60) %
= 40%
So, 40% properties are Semi-detached.
A line passes through the points (3, –1) and (5, 4). What is the slope of the line?
Answer:
D) 5/2
Step-by-step explanation:
(3, –1) and (5, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4 + 1)/(5 - 3)
m= 5/2
Answer:
5/2
Step-by-step explanation:
To find the slope, we can use the slope formula
m= (y2-y1)/(x2-x1)
= (4 - -1)/(5 - 3)
= (4+1)/(5-3)
= 5/2