What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
Find the volume of this square
based pyramid.
Answer:
60
Step-by-step explanation:
I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
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A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?
A.
72π cu. in.
B.
864π cu. in.
C.
3,456π cu. in.
D.
6,912π cu. in.
Answer:
B. 864π cu. in.
Step-by-step explanation:
Given the following data;
Diameter = 24 inches
Radius, r = diameter/2 = 24/2 = 12 inches
Height, h = radius/2 = 12/2 = 6 inches
To find the volume of the cylinder in cubic inches;
First of all, we would determine the area of its circular base.
Area of circle = πr²
Area = π * 12²
Area = 144π in² (in terms of pie, π)
Next, we would find the volume of the cylinder;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.Substituting into the formula, we have;
Volume = 144π * 6
Volume = 864π cu. in
Answer:
B. 864π cu. in.
Step-by-step explanation:
What must be multiplied by 0.0426 to get 4260 ??
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
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A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number. A) 25% B) 75% C) 100% D) 50%
Answer:
D
Step-by-step explanation:
what is the scale factor from figure a to figure b
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
The right vertical side of B is 2 units
The right vertical side of A is 4 units
scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
answer choices:
a. 122
b. 102
c. 138
d. 85
Answer:
option b
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°.
That is,
120 + y + 85 + 53 = 360
y = 360 - 120 - 85 - 53
y = 102
Answer:
Option B is correct
Step-by-step explanation:
Hint :
Sum of angles in quadrilateral = 360°
Simplify :
[tex] {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} [/tex]
Hope it is helpful...Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
To know more about an expression follow;
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Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
Please help needed!!! Help me!!!
a = 85°
Step-by-step explanation:
Method 1
5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)
3x = 57°
x = 57/3 = 19°
a = 180 - 57 - 2x
a = 180 - 57 -2(19)
a = 85°
Method 2
2x + a + 57° = 180°
2x + a = 123° ==> 1
5x + a = 180°
x = (180° - a)/5 ==> 2
By substitution
2((180° - a)/5) + a = 123°
(360° - 2a)/5 + a = 123°
(360° - 2a)/5 = 123° - a
360° - 2a = 5(123° - a)
360° - 2a = 615° - 5a
-2a + 5a = 615° - 360°
3a = 255°
a = 85°
Find the gradient of the line y=4x-7
Answer:
4
Step-by-step explanation:
Answer:
gradient = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with gradient m = 4
helpppp i neeeed to know this in order to pass
B
The y-values go from at least -6 to at most 9 so B fits that
Answer:
-6 <=y <=9
Step-by-step explanation:
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Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.
Answer:
the length of adjacent =√25²-24²=√49=7
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
More about the Algebra link is given below.
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Convert log_8 1=0 into an exponential equation
o 1^0=8
O 0^8=1
o '8^0=1
o '8^=8
Given:
The logarithmic equation is:
[tex]\log_81=0[/tex]
To find:
The exponential equation for the given logarithmic equation.
Solution:
We have,
[tex]\log_81=0[/tex]
It can be rewritten as:
[tex]8^{\log_81}=8^{0}[/tex]
Using [tex]a^{\log_ax}=x[/tex], we get
[tex]1=8^0[/tex]
[tex]8^0=1[/tex]
Therefore, the correct option is C.
complete the table of values for y=2x+3
En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Simplify. (n−8)(n+3)
Answer:
n^2 - 5n - 24
Step-by-step explanation:
You can use FOIL to multiply the binomials.
FOIL stands for the 4 products you need to caclulate when multuiplying 2 binomials. It just reminds you todo the 4 needed multiplications.
F - first terms
O - outside terms
I - inside terms
L - last terms
F O I L
(n - 8)(n + 3) = n * n + 3 * n - 8 * n - 8 * 3
Now we simplify the products and collect like terms.
= n^2 + 3n - 8n - 24
= n^2 - 5n - 24
The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
Write and solve a real-world problem that involves finding the volume of a rectangular or triangular prism
Answer:
l
Step-by-step explanation:
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John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?
a. 150 + 50 + p = 75
b. 150 + 50 + 75 = p
c. 150 − 50 + 75 = p
d. 50 + p + 75 = 150
ps: absurd answers will be reported !!
Answer:
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Which gives the correct values for points A,B,C, and D?
Answer:
The answer would be A
Step-by-step explanation:
8. Find TN, MP, TQ, PT
Please and thank you!
Answer:
TN = 13 units
MP = 22 units
TQ = 6.93 units
PT = 13 units
Step-by-step explanation:
If T is a circumcenter of the given triangle MNP,
Measure of TN = Measure of TM = Measure of TN
By applying Pythagoras theorem in ΔMRT,
MT² = TR² + MR²
MT² = (12)² + 5²
MT = [tex]\sqrt{169}[/tex]
MT = 13
Measure of TN = 13 units
Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,
Measure of MP = 2(PQ)
= 2(11)
= 22 units
By applying Pythagoras theorem in ΔTQM,
MT² = TQ² + MQ²
(13)² = TQ² + (11)²
TQ = [tex]\sqrt{169-121}[/tex]
TQ = [tex]\sqrt{48}[/tex]
TQ = 6.93
Measure of PT = Measure of TN = 13 units
GUYS PLEASE HELP ME, PLEASE SHOW WORK AND I WILL MARK BRAINLEST!
Could someone please help and explain how to do this
Answer:
Step-by-step explanation:
just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]
1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Answer:1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Step-by-step explanation:
