Answer:
a = 28
Step-by-step explanation:
Given : t7= 4 , d = -4
Solution : tn = a + (n - 1) d ......( formula)
t7 = a + (7 - 1) (-4)
4 = a + (6)( - 4)
4 = a - 24
4 + 24 = a
28 = a
therefore, the first term (a) is 28.
For the following find the values of X either by factoring or using the quadratic formula.
please explain step by step help ASAP
[tex] { - 3x}^{2} + 1 = 5x[/tex]
[tex] {10x}^{2} + 5x - 3 = - 6 + {7x}^{2} - 5x[/tex]
[tex] {4x}^{2} - 11 = - 2 { - 4x}^{2} + 9x[/tex]
what is the value of x
Answer:
A. 10
Step-by-step explanation:
Formula for the Pythagorean Theorem: a^2+b^2=c^2
Substitute: 6^2+8^2=c^2
6*6+8*8=c^2
36+64=c^2
100=c^2
Then, find we to the square root in order to isolate c^2.
10=c.
Final answer, A. 10.
If you roll two six-sided dice, what is the probability that at least one dies shows a 5 ?
Answer:
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Each dice:
6 sides, one of which is 5.
So 6-1/6 = 5/6 probability of rolling a 5.
Probability of not rolling a five in two rolls:
(5/6)^2 = 25/36
Probability of rolling a five in at least one of the rolls:
[tex]p = 1 - \frac{25}{36} = \frac{36}{36} - \frac{25}{36} = \frac{11}{36} = 0.3056[/tex]
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
Pls help with this question. It is due today!
Answer: B
Step-by-step explanation:
Helpppppp !!! Due in a few hours .
Answer:
y = -4/9x + 1/3 letter H
Step-by-step explanation:
Let's solve for y. 4x+9y=3 Step 1: Add -4x to both sides. 4x+9y+−4x=3+−4x 9y=−4x+3 Step 2: Divide both sides by 9. 9y 9 = −4x+3 9 y= −4 9 x+ 1 3
Does the Y-axis or X-axis come first?
Answer:
X
Step-by-step explanation:
The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!
How many solutions does the inequality x > 12 have? Explain.
Answer:
Infinite solutions
Step-by-step explanation:
Suppose there are finite solutions to x > 12
Then there exists a largest solution, which we call X
But X + 1 > X, and X > 12, so by transitivity X + 1 > 12 and thus is an even larger solution
this means X is not the largest solution
Therefore, by contradiction, the assumption that there are only finite solutions is false
Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin
Answer:
she spent 4 hours rowing
Step-by-step explanation:
the missing percent is 20, so she spent 20% of 20 hours rowing
this comes out to 4 hours
Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result on a mammogram is 2%. Assume that the probability that a randomly chosen woman has breast cancer is 0.0002. If a woman has a positive test result, what is the probability that she actually has breast cancer
Answer:
0.0049 = 0.49% probability that she actually has breast cancer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test result
Event B: Breast cancer
Probability of a positive test result:
4% of (1 - 0.0002)
98% of 0.0002
So
[tex]P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188[/tex]
Having breast cancer and testing positive.
98% of 0.0002
So
[tex]P(A \cap B) = 0.98*0.0002 = 0.000196[/tex]
What is the probability that she actually has breast cancer?
[tex]P(B|A) = \frac{0.000196}{0.040188} = 0.0049[/tex]
0.0049 = 0.49% probability that she actually has breast cancer
Which point represents the product of point H and point J?
Answer:
B) I
Step-by-step explanation:
H = -1
J = 1
-1 + 1 = 0
so I
Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!
-Lil G
John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?
Answer:
49 Dollars
Step-by-step explanation:
If you subtract 70- 30%, you get 49 dollars
Hope this helps =)
Work out and simplify where possible
a) 2/5+1/3
b) 5/9-1/2
A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19% of all survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
C.
Step-by-step explanation:
The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.
To find the answer, we can go through each choice.
A. Females taking Geometry
Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.
B. Females taking Algebra II.
Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.
C. Males taking Geometry.
Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.
D. Males taking Algebra I.
44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.
Answer:
C
Step-by-step explanation:
59/310 *100 = 19.03%
so 19%
Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
4. The quotient of a number and 3 is at least 5.
Answer:
15 20 25 any of those!
Step-by-step explanation:
mark brainliest pls
Maths please help me
Answer:
Libby = 16
Tom = 8
Kyle = 4
Step-by-step explanation:
total parts = 4+2+1 = 7
28/7 parts = 4 per part
Libby = 4 x 4 = 16
Tom = 2 x 4 = 8
Kyle = 1 x 4 = 4
The city council voted on a new tax. The council has 20
total members and 20% of them voted in favor of the
new tax. How many members voted in favor of the tax?
Answer:
4
Step-by-step explanation:
You have to multiply the total members by the percentage.
20X[tex]\frac{20}{100}[/tex] =4
If you answer correctly you get one of those crown things
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
Hey can someone help pls
Answer:
Step-by-step explanation:
x2 - 2x - 35
First we have to find the factors of 35 that by subtracting equal to 2 so
x2 - 7x + 5x - 35
Taking common
x(x - 7) + 5(x - 7)
(x - 7) and (x + 5) are the factors
7x + 3y = 8
6x – 3y = 5
For the solution (x,y) to the system of equations
above, what is the value of x - y ?
Answer:
2/3
I have made in above picture
hope it helps
For the solution [tex](3,\frac{1}{3})[/tex] of the given system of equations, the value of x - y is [tex]2\frac{2}{3}[/tex]
To determine the value of x - y, we will solve the two equations simultaneously
We have
7x + 3y = 8 ------ (1)
6x – 3y = 5 ----- (2)
Solving by the elimination method
Add equations (1) and (2) together
We get
[tex]7x + 6x +3y -3y = 8 + 5[/tex]
Then,
[tex]13x = 13[/tex]
Now, divide both sides by 13
[tex]\frac{13x}{13} = \frac{13}{13}[/tex]
∴ [tex]x = 1[/tex]
Now, substitute the value of x into equation (1)
[tex]7x + 3y = 8[/tex]
We get
[tex]7(1) + 3y = 8[/tex]
[tex]7 + 3y = 8[/tex]
[tex]3y = 8-7[/tex]
Then,
[tex]3y = 1[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} =\frac{1}{3}[/tex]
∴ [tex]y = \frac{1}{3}[/tex]
The solution to the system of equations is [tex](3,\frac{1}{3})[/tex]
Now, for the value of x - y, we will input the values of x and y
That is,
[tex]x -y = 3 -\frac{1}{3}[/tex]
[tex]= 2\frac{2}{3}[/tex]
∴ [tex]x-y =2\frac{2}{3}[/tex]
Hence, the value of x - y is [tex]2\frac{2}{3}[/tex]
Learn more here: https://brainly.com/question/12787642
Please answer quickly
Answer:
B
Step-by-step explanation:
1. Combine exponents
9^4 * 9^8 = 9^12
The line plot below shows the amount of water, in liters, in 4 equal-sized containers
How many liters of water will each container have if the total amount is distributed equally among the 4 containers?
PLS HELP
Answer: multiply and estimate
Step-by-step explanation:
Answer:
the answer is : a
Step-by-step explanation:
WILL GIVE BRAINLIEST
sketch the graph of the following equation: y=|4-3x|
Answer:
attached
Step-by-step explanation:
y=|4-3x| y: positive number
If a worker is making $8 an hour how much would they make in 6 hours?
Answer:
$48
Step-by-step explanation:
8•6= 48
.....uchild
Find quotient and reminder, when 135 is divided by 12
Answer:
11 is quotient and reminder is 3
Step-by-step explanation:
11x12=132, 135-132=3
What is the right way to use substitution method?
Answer:
Step-by-step explanation:
Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!
Consider the equation:
4x + 3y - 23 = 42
4x+
The variables are:
The coefficients are:
The constants are:
Answer:
x=(-∞,∞)
y=65/3
Step-by-step explanation:
Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?
Answer:
99.
Step-by-step explanation:
A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.
Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).
Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.
Please help! Can anyone help me out with this question?
Answer:
[tex]\displaystyle h'(s) = 64s + 20[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle h(s) = (-8s - 9)(-4s + 2)[/tex]
Step 2: Differentiate
[Derivative] Product Rule: [tex]\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)][/tex][Derivative] Basic Power Rule: [tex]\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)[/tex][Derivative] Simplify: [tex]\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)[/tex][Derivative] Distribute [Distributive Property]: [tex]\displaystyle h'(s) = 32s - 16 + 32s + 36[/tex][Derivative] Combine like terms: [tex]\displaystyle h'(s) = 64s + 20[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
what's the rule for number pattern
830 823 817 812 808
to subtract 7
then
To subtract 6
then
To subtract 5
then
To subtract 4
Evertime you subtract go down 1 number.