Answer:
7 7/24
Step-by-step explanation:
first put the wholes inside the fraction:
[tex]1 \frac34 = \frac44 + \frac34 = \frac74[/tex]
[tex]4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}[/tex]
Then multiply numerator times numerator, denominator times denominator and take out wholes again:
[tex]\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}[/tex]
Please help me I really need help please help me
Answer:
2.25 +3/4x = y
Step-by-step explanation:
2.25 +3/4x = y
The volume of a box containing 15 identical cubes is 295245cu.m. Find the edge of the cube.
Answer:
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
Step-by-step explanation:
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 × s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 × 27 = 135 m
Width = 3 × 27 = 81 m
height = 27 m.
Simplify ...can I get help
Answer:
6^21 = B
Step-by-step explanation:
[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]
Answer:
B
Step-by-step explanation:
When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.
How many bases [tex]$b$[/tex] are there such that [tex]$663_b$[/tex] is prime?
Answer:
none
Step-by-step explanation:
We assume you intend positive rational bases.
[tex]663_b[/tex] is divisible by 3, so cannot be prime.
1 / cosec A -1 - 1 / cosec A + 1
Answer:
Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A
We have to prove this identity.
[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]
= [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]
= [tex]\frac{2}{cosec^{2}A-1}[/tex]
= [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]
= 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]
Hence the given equation is proved.
Please help! Correct answers only please!
A student was conducting a study to determine how many mini chocolate chip cookies would fit in a plastic sealed container. He used random packing to find the following.
Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per cookie?
A. 2.2 in^3/cookie
B. 0.45 in^3/cookie
C. 17.82 in^3/cookie
D. 23.76 in^3/cookie
Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
Step-by-step explanation:
From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch
Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]
Then, the ratio of cubic inches per cookie would be
[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]
So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
What are the fourth roots of 6+6√(3i) ?
Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.
( )cis( )
( )cis( )
( )cis( )
( )cis( )
hello! I've tried looking up videos on how to do this, but I'm very confused as there aren't any that look quite like the one I was given. If someone could help, I'd appreciate that so much!
I can figure out the roots in order of increasing angle measure, so no worries about that, I know how to do that:)
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!
Answer:
x=6
Step-by-step explanation:
h(x) = -( x-2)^2 +16
We want when h(x) = 0
0 = -( x-2)^2 +16
Subtract 16 from each side
-16 = -( x-2)^2 +16-16
-16 = -( x-2)^2
Divide by -1
16= ( x-2)^2
Take the square root of each side
±sqrt(16) = sqrt(( x-2)^2 )
±4 = x-2
Add 2 to each sdie
2 ±4 = x-2+2
2+4 = x 2-4 =x
6 =x -2 =x
since time cannot be negative
x=6
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer: 1. a
2. -75
Step-by-step explanation:
Answer:
1.A 2.-75
Step-by-step explanation:
I solved it and got those awnsers
Which of the following are solutions to the equation below? Check all that apply. x2 + 3x - 10 = 0
Answer:
x = 2x = -5Step-by-step explanation:
[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]
The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.
The quadratic equation is given as follows:
x² + 3x - 10 = 0
To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the equation in the form ax² + bx + c.
Here, a = 1, b = 3, and c = -10, so we have:
x = (-3 ± √(3² - 4(1)(-10))) / 2(1)
x = (-3 ± √(49)) / 2
x = (-3 ± 7) / 2
So, the solutions are:
x = (-3 + 7) / 2 = 2
x = (-3 - 7) / 2 = -5
Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
A circular plate bas diameter 27cm.
Calculate the circumference of the plate
Answer:
84.78
Step-by-step explanation:
You do 27 tomes pi(3.14)
Answer:
Circumference ≈ 84.82cm
Step-by-step explanation:
The diameter is 27cm
The equation to find circumference is (2πr) (Two times pi times radius)
We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.
To get radius, you divide diameter by 2, getting 13.5.
Now, all you have to do is "plug-and-chug," putting 13.5 in for radius in the circumference equation. (2π13.5)
You will get Circumference ≈ 84.82
Find each difference. (–6s2 + 12s – 8) – (3s2 + 8s – 6)
Answer:
-9s2 + 4s -2
Step-by-step explanation:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)=
(-6s2-3s2) +12s-8s -8+6=
-9s2 + 4s -2
Answer:
[tex]-9s^2+4s-2[/tex]
Step-by-step explanation:
can I have help please
Alpha Exercise 2α Write down the ratio of vowels to consonants in each of the given words. Simplify your ratio where possible.
a) PLAN
b) NUMBER
c) RATIO
d) SHAPE
e) GRAPH
f) EQUALS
g) INVERSE
h) SCALE
i) PRIME
j) MATHEMATICS
k) VERTEX
l) MULTIPLE
m) FACTOR
n) ROTATION
o) REFLECTION
p) TRANSLATION
q) ENLARGEMENT
r) TRANSFORMATIONS
s) SIMULTANEOUS
t) CUMULATIVE
write an expression to represent the following situation:10 dollars less than catilian
Answer: c - 10
Step-by-step explanation:
Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.
The first thing that we need to do is to represent catilian by an alphabet.
Let catilian be denoted by c.
Since we are told that 10 dollars is less than catilian. The expression will be:
= c - 10
The segments shown below could form a triangle true or false?
Answer:
false
Step-by-step explanation:
i got it right
Answer:true
Step-by-step explanation:
is true if you don’t believe me check the picture
Joshua drops a bag of 25 chocolate chip cookies and breaks 12 of them. 100
What percentage of the cookies did Joshua break?
Answer:
48%
Step-by-step explanation:
12 out o 25 are broken
so, 12/25 = .48 * 100 = 48%
Hope this helps!
Answer:
The answer to this question is 48% is broken
En una empresa en las que 28 personas, de estas las 3/4 partes son varones. ¿Cuantas personas son mujeres?
Answer:
4 mujeres en la empresa
Step-by-step explanation:
5 – 6x = 8x + 17 and simplify [tex]\frac{-6}{7}[/tex]
Answer:
x = -6/7
Step-by-step explanation:
5 – 6x = 8x + 17
-5 - 5 Subtract 5 from both sides
-6x = 8x + 12
-8x - 8x Subtract 8x from both sides
-14x = 12 Divide both sides by -14
x = -12/14 Simplify
x = -6/7
Which function is represented by the graph below?
Answer:
f(x)=2e^x
Step-by-step explanation:
graphic calculator
Idk how to explain it please help question 11!
[tex]\frac{3-5x}{-4}[/tex]
[tex]\frac{3+-5x}{-4}[/tex]
[tex]\frac{-5x+3}{-4}[/tex]
[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]
[tex]\frac{5x-3}{4}[/tex]
Step-by-step explanation:
For instance, though not like terms, subtract
5-3/4= 2/4= 1/2
3-5/-4= -2/-4, -ve plus -ve hence +ve
+ve 1/2
They are the same
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1. If the area of triangle ABC is 6 square units, then find a possible y-coordinate of point C. Options: 5 6 7 8
Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
The coordinate of point C is either (-1, 6) or (-1, -2)
Area of triangles and coordinatesThe formula for calculating the area of a rectangle is expressed as;
A = 0.5bhwhere:
b is the base of the triangleh is the height of the triangle;Get the height of the triagle:
6 = 0.5(3)h
6 = 1.5h
h = 6/1.5
h = 4 units
Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2
Hence the coordinate of point C is either (-1, 6) or (-1, -2)
Learn more on area of triangle here: https://brainly.com/question/17335144
Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
Answer: B
[tex]=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]
0÷x=0 Please help me!!!!
pls help asap for 17 points
Answer:
x = 52y
Step-by-step explanation:
Which unit would you use to measure the weight of a car?
O mg
O kg
O g
O km
Answer:
The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.
hope that helps love!
What are the zeros of the function?
f(x)=x3−2x2−3x
A. −1, 0, and 3
B. −3, 0, and 2
C. −2, 0, and 3
D. −3, 0, and 1
Answer:
D
Step-by-step explanation:
What is the area of the composite figure shown?
A) 42.4m2
B) 41.7m2
C) 32.8m2
D) 63m2
Answer:
B
Step-by-step explanation:
Find the simple interest for 3 years at a rate of 7.5% on $200
Solution,
Principal (P)=$200
Time(t)=3 years
Rate(R)=7.5%
Now,
Simple Interest=PTR/100
=200*3*7.5/100
=4500/100
= $45
Hope it helps
good luck on your assignment
Meredith has two different‐sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?
Answer:
The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.
4(3x+7)=16
correct answer
no cap...
Answer:
x=-1
Step-by-step explanation:
12x+28=16
-28 on both sides
12x=-12
x=-1