Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.
1 ≥ 2x
6x ≥ 3 + 8x – 4
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
1≥2x and 6x≥3+8x-4 are correct representations of the inequality 6x ≥ 3 + 4(2x – 1).Option A,B and C are correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
The solution to the given inequality is;
6x≥3+4(2x-1)
6x≥3+8x-4
2x≤1
x≤(1/2)
The correct options are;
A)1 ≥ 2x
B)6x ≥ 3 + 8x – 4
C)A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
1≥2x and 6x≥3+8x-4 are correct representations of the inequality 6x ≥ 3 + 4(2x – 1).
Hence, options A, B, and C are correct.
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Answer:
A, B, C
Step-by-step explanation:
The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side length to the nearest tenth before adding.
The perimeter of the triangle is 21.4 units
How to determine the perimeter?The points are given as:
A(−2,2), B(5,−3), and C(−4,−1)
Calculate the side lengths using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]
[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]
[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]
The perimeter is then calculated as:
P = AB + AC + BC
This gives
P = 8.6 + 3.6 + 9.2
Evaluate
P = 21.4
Hence, the perimeter of the triangle is 21.4 units
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Use the accompanying table to answer the questions regarding money ratios.
(a) What is the capital a 40-year-old should have with an income of $32,000?
(b) How much should a 35-year-old be saving for retirement with an income of $86,000?
(c) How much in education debt should a 30-year-old have with an income of $59,000?
The 40-year-old should have $___in capital.
(Simplify your answer)
(b) The 35-year-old should be saving $ for retirement.
(Simplify your answer)
(c) The 30-year-old should have $___ in education debt.
(Simplify your answer)
.
The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.
How to solve for the amountsThe capital that a 40 year old has to have with an income of 32000 is
capital income at age 40 * income
= 2.4 * 32000
Capital = $76800
b. At 35 the savings income has to be
percentage of savings income * income
= 12% * $86000
= $10,320
c. There is no specified value for education earnings.
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Please help me answer question 6/11
The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.
The complete question is attached below.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]
Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.
Then the correct option is B.
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Identify the causes of immigration and emigration?
A person can immigrate to another country for educational purposes.
A person can emigrate to another country for work.
A person can emigrate to another country due to war in their own country.
What is emigration and migration?
Migration is when a person moves from one geographical location or another. Immigration and emigration are types of migration.
Immigration is when a person moves to a foreign country. For example, when a US citizen moved to Italy for work. Emigration is when a person lives his home country.
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a die is tossed. find the odds against rolling a number greater than 1
Answer:
5/6
Step-by-step explanation:
cuz there's 6 sides and there are 5 more sides than the 1
The correct answer is : [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
a die has 6 sides.
each side has a number 1-6
The chance of it rolling a number greater than one is 5 chances per 6 options or 5/6
is about and DC are parallel, which angles are congruent to D 3?
Answer:
A
Step-by-step explanation:
Angles 1 and 3 are congruent since they are vertical angles.
Angle 7 is congruent to angle 3 since they are corresponding angles.
Angle 5 is congruent to angle 1 since they are corresponding angles.
Answer: A
factoring 8x^2-12x-8
Answer:
( 8x - 4 ) ( x - 2 )
Step-by-step explanation:
8x² - 12x - 8
8x² - 16x + 4x - 8
8x ( x - 2 ) - 4 ( x - 2 )
( 8x - 4 ) ( x - 2 )
Answer:
⇒ [tex]4(x-2)(2x+1)[/tex]
Step-by-step explanation:
1) Common factor
⇒ [tex]8x^2-12x-8\\[/tex]
⇒ [tex]4(2x^2-3x-2)[/tex]
2) Use the sum-product pattern
⇒ [tex]4(2x^2-3x-2)[/tex]
⇒ [tex]4(2x^2+x-4x-2)[/tex]
3) Common factor from the two pairs
⇒ [tex]4(2x^2+x-4x-2)[/tex]
⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]
4) Rewrite in factored form
⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]
⇒ [tex]4(x-2)(2x+1)[/tex]
write equation of the log base of 3
Answer:
see below
Step-by-step explanation:
The graph is shifted to the RIGHT so it will be a ' x-1'
and it is shifted UP 3 units so:
Looks like log3 (x-1) + 3
at x = 4 the value of the graph is 4
log3 (4-1) + 3 = 4 CHECK !
Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89
The correct option for the given vector is the third one:
u = (5, -8): ||u|| = √89What are the component form and magnitude of u?If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.
Then we have:
u = (5, -8)
For a vector w = (x, y) the magnitude is:
[tex]||w|| = \sqrt{x^2 + y^2}[/tex]
In this case, the magnitude will be:
[tex]||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}[/tex]
Then the correct option is the third one.
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Solve for x using quadratic formula :
abx^2 + (b^2 - ac)x - bc = 0
[tex]\boxed{\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}}[/tex]
Explanation:
Given expression: (ab)x^2 + (b^2 - ac)x + (-bc) = 0
Here given:
a = abb = b² - acc = -bcApply quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \ ax^2 + bx + c = 0[/tex]
Insert values:
[tex]\sf x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}[/tex]
[tex]\sf x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}[/tex]
[tex]\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}[/tex]
Apply quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}[/tex]
[tex]\\ \sf\Rrightarrow x= \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}[/tex]
find 20,21,22,23,24,25,26,27
hello hello hello
Step-by-step explanation:
hi hi hi
find the y intercept
Answer:
(0,-2)
Step-by-step explanation:
y intercept is that line that intercepts with the y axis
when x is 0 then y value.
A part of a line that starts at one endpoint and extends forever in one direction is a(n)
A. angle
B.point
C.line
D.ray
Answer:
[tex]\fbox {D. ray}[/tex]
Step-by-step explanation:
A part of a line that starts at one endpoint and extends forever in one direction is a ray.
Answer: D. Ray
Step-by-step explanation:
Let's do the process of elimination.
It's not A because there is only one line.
It is not B because a point is only a dot.
It is not C because a line extends forever from BOTH ends.
The correct answer is D because a ray starts on one endpoint and extends forever in one direction.
I hope this helps!! Pls mark brainliest!! :)
Could use help asap please
Observe the diagram below with indexes on the shapes.
The transformations are:
Shape I is given a 90° clockwise rotation about the origin and then a reflection across the x-axis.state one example of 2 numbers where the LCM of the 2 numbers is the product of those numbers. explain your answers
Answer:
See below
Step-by-step explanation:
3 and 5 have a LCM of 15 which is 3 * 5
Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
OB. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer:
C
Step-by-step explanation:
Comment
The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.
So the answer must be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.
So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.
Note
x^5 = x * x * x * x * x
The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.
√x^5 = √x * x * x * x * x = x * x √x
Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x
Which polynomial is factored completely? 4 (4 x superscript 4 baseline minus 1) 2 x (y cubed minus 4 y squared 5y) 3 x (9 x squared 1) 5 x squared minus 17 x 14
The answer choice which represents a polynomial which is factored completely is; (y³ - 4y² +5)
Which polynomial is factored completely?The polynomials as given in the task content are;
4(4x⁴ -1) + 2x
(y³ - 4y² +5)
3x (9x² -1)
5x² -17x +14
Hence it follows that the polynomial which cannot be further factorised is; (y³ - 4y² +5).
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Answer:3 x (9 x squared + 1)
it is c because i did the test and put b but got it wrong
Step-by-step explanation:
The triangle inequality theorem states the sum of the lengths of any two sides of a triangle is _____ the length of the third side.
Answer:
see explanation
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
if the sides are a, b, c , then the following must be true
a + b > c
a + c < b
b + c > a
for the 3 sides to form a triangle
11. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=12, x = 5, p = 0,25
A) 0.082
B) 0.091
C) 0.027
D) 0.103
Answer
D
Step-by-step explanation:
The probability of 5 successes given n = 12, x = 5, and p = 0.25 is approximately 0.082 by solving binomial probability.
The correct answer is A) 0.082.
The probability of x successes given the probability p of success on a single trial, with n trials, can be calculated using the binomial probability formula:
[tex]P(x) = (n_C_x) * p^x * (1-p)^{(n-x)[/tex]
In this case, n = 12, x = 5, and p = 0.25. Let's substitute these values into the formula:
[tex]P(5) = (12C5) * (0.25)^5 * (1-0.25)^{(12-5)[/tex]
Using the combination formula ([tex]n_C_r[/tex]) to calculate ([tex]{12}_C_5[/tex]):
[tex]P(5) = (12!)/(5!(12-5)!) * (0.25)^5 * (0.75)^7[/tex]
Simplifying the combination:
[tex]P(5) = (12!)/(5!7!) * (0.25)^5 * (0.75)^7[/tex]
Calculating the factorial terms:
[tex]P(5) = (12111098)/(54321) * (0.25)^5 * (0.75)^7[/tex]
[tex]P(5) = 792 * 0.0009765625 * 0.1334838867[/tex]
P(5) ≈ 0.082
Therefore, the probability of 5 successes given n = 12, x = 5, and p = 0.25 is approximately 0.082 by solving binomial probability.
The correct answer is A) 0.082.
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Solve for r in the following equation:
5r - r - 9 = 15
what is the first step?
A. Use the subtraction property of equality
B. Use the addition property of equality
C. Combine like terms
What does the equation look like now?
(type your answer)
Use your answer and finish solving the equation for r.
R=____
An equation is formed of two equal expressions. The value of r in the given equation is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for the value of r in the given equation will be,
5r - r - 9 = 15
5r - r - 9 + 9 = 15 + 9
4r = 24
r = 6
A.) The first step is to Use the addition property of equality. Thus, the correct option is B.
B.) The value of r in the given equation is 6.
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simplify the mathematical expression to determine the appropriate india product or quotient in a scientific notation round round do the 1st fractor goes to the 10th place 3.3x10^3 7.8 3.7 2.1x10^-3
From the power rules, the matching of each expression with its result is:
[tex](8.6*10^7)(9.1*10^{-8})=7.8[/tex]
[tex](6.9*10^5)(4.8*10^{-3})=3.3*10^3[/tex]
[tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =2.1*10^{-3}[/tex]
[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=3.7[/tex]
Power RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
From this for your question, you have:
[tex](8.6*10^7)(9.1*10^{-8})[/tex] - From the distributive property of multiplication and power rules you can do:[tex](8.6*10^7)(9.1*10^{-8})=(8.6*9.1)*(10^7*10^{-8})=78.26*10^{-1}=7.8[/tex][tex](6.9*10^5)(4.8*10^{-3})[/tex] - From the distributive property of multiplication and power rules you can do:[tex](6.9*10^5)(4.8*10^{-3})=(6.9*4.8)*(10^5*10{-3})=33.12*10^2=3.3*10^3[/tex][tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})}[/tex] - From the distributive property of multiplication and power rules you can do:[tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =\frac{(3.7*4.6)*(10^2*10^{-3})}{(1.4*5.7)*(10^{-6}*10^{8})} =\frac{17.02*10^{-1}}{7.98*10^2} =2.13*10^{-3}=2.1*10^{-3}[/tex]
[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}[/tex] - From the distributive property of multiplication and power rules you can do:[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=\frac{(3.1*5.3)*(10^{5}*10^{-9})}{(7.3*6.1)*(10^{2}*10^{-7})} =\frac{16.43*10^{-4}}{44.53*10^{-5}}=0.36896*10^1=3.7[/tex]
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Round 969.991 to the nearest whole number
Answer:
Round of 969.991
970
Rules of round off
1) If the digit is odd no. the no. will increase to 1
2) if it is even the no. will be same.
A standard marathon is about 26.2 miles.
How many feet is this equivalent to?
a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet
Answer:138,336
Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps
138,336 feet is equivalent to 26.2 miles.
Hence, Option C is correct.
Given that,
Length of standard marathon = 26.2 miles
We have to calculate the length of it into feet
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that
1 miles = 5280
Now to find the length of standard marathon in feet,
Multiply 5280 with 26.2.
Hence the length of marathon in feet,
= 5280 x 26.2
= 138,336 feet.
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How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions
Answer:
1
Step-by-step explanation:
the number of solutions corelatea with number of cross-points in the graphs, in our exame, 1 point, hence 1 solution
05.02 MC)
Angie is working on solving the exponential equation 34^x= 23; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Step-by-step explanation:
First she will start by mutiplying the two numbers.
Question 29 of 40
Find f(-2) for f(x) = 5.3*.
Answer:
A. [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.
f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.
f(-2)=5*0.1=0.5 Forever 5's.
f(-2)=0.5 or [tex]\frac{5}{9}[/tex]
Hope this helps!
If not, I am sorry.
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x − 6
The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
The problem is incomplete. The complete problem is
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6
(a) f(1)
(b) f(−2)
(c) f(x + 4)
We have
(a) f(1) = 3 (1) - 6 = 3 - 6 = -3
(b) f(-2) = 3(-2) - 6 = -12
(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6
So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
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please help
PLEASE
Answer:
Step-by-step explanation:
4567890987654345678
please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for y and z ~
[tex]\qquad \sf \dashrightarrow \: z + 61 = 180[/tex]
[ Co- interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 61[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 119 \degree[/tex]
now,
[tex]\qquad \sf \dashrightarrow \: 5y + 14 = 119[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 5y = 119 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \: 5y = 105[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 21 °[/tex]
