Answer:
He is 3 years old.
Step-by-step explanation:
3 times 9 is 27. She is 9 times older than her 3 year old son.
Next year he will be 4 and she will be 28. 4 times 7 is 28. She will be 7 times older than her son.
Answer:
The son is 3 years now.
Step-by-step explanation:
Let x and y represent his age and his son's age respectively.
Given;
I am $9$ times as old as my son
9y = x ........1
Next year, I will be $7$ times as old as my son.
7(y+1) = x + 1 ....2
Substituting equation 1 to 2;
7(y+1) = 9y + 1
7y + 7 = 9y + 1
Collecting the like terms
9y - 7y = 7 -1
2y = 6
y = 6/2 = 3
Since x = 9y
x = 9(3)
x = 27
The son is 3 years and he is 27 years now.
11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never
Answer:
never intersect
Step-by-step explanation
parallel lines do not intersect and neither do parallel planes
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answer:
6
Step-by-step explanation:
nerd physics
SNOG PLEASE HELP! (x-1)(y+8)
Answer:
xy + 8x - y - 8
Step-by-step explanation:
We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.
F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.
O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.
I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.
L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.
Adding all of these together, we get xy + 8x - y - 8 as our final answer.
Hope this helps!
Answer:
[tex]xy+8x-y-8[/tex]
Step-by-step explanation:
=> (x-1)(y+8)
Using FOIL
=> [tex]xy+8x-y-8[/tex]
If f(7) = 8 find
f-1(8)
Answer:
34293
Step-by-step explanation:
because it 36 and 45. it is right
What is the volume of this aquarium?
Answer:
9,000 inches^3
Step-by-step explanation:
The first part is 20 x 20 x 20, which equals 8,000
The second part is 10 x 10 x 10, which is 1,000
1,000 + 8,000 = 9,000
A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?
Answer:
The z–score corresponding to 45 is z=2.
Step-by-step explanation:
We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.
The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.
The z-score for X=45 can be calculated as:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]
The z–score corresponding to 45 is z=2.
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L,L, in terms of t,t, representing the amount Alexa owes her friend after tt weeks.
Answer:
[tex]L(t) = 170 - 10t[/tex]
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
[tex]L(t) = L(0) - bt[/tex]
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So
[tex]L(t) = L(0) - bt[/tex]
[tex]L(t) = 170 - 10t[/tex]
Which graph represents a system of equations with no solution? On a coordinate plane, 2 lines intersect at one point. On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, a line has a positive slope. On a coordinate plane, 2 lines will intersect at one point.
Answer: On a coordinate plane, 2 lines are parallel to each other.
Step-by-step explanation:
The solution of the system of equations of two lines is the intersecting point where both lines intersect.
When two lines intersect at one point then, we say it has a unique solution.
When two lines coincide, then we say it has an infinite number of solutions.
But when two lines are parallel to each other then, we say it has no solution.
Hence, the graph represents a system of equations with no solution:
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, [tex]2[/tex] lines are parallel to each other.
A graph is a diagram that depicts the relationship between two or more variables measured along one of a pair of axes at right angles.
A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called [tex]y-[/tex]axis and a horizontal line called [tex]x-[/tex]axis.
A system of equations has no solution if the lines are parallel.
For more information:
https://brainly.com/question/17267403?referrer=searchResults
What are the x-intercepts of the function y = x2 – x – 120?
Answer:
(1+√481/2,0),(1−√481/2,0)
Step-by-step explanation:
You find this by substituting 0 for y and then solving.
Answer:
(1+√481/2,0),(1−√481/2,0)
Step-by-step explanation:
Consider the following sample information from Population A and Population B. Sample A Sample B n 24 16 s2 32 38 We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals a. .84. b. .67. c. 1.50. d. 1.19.
Answer:
Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:
[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]
And the best option would be:
d. 1.19.
Step-by-step explanation:
Data given and notation
[tex]n_1 = 24 [/tex] represent the sampe size 1
[tex]n_2 =16[/tex] represent the sample size 2
[tex]s^2_1 = 32[/tex] represent the sample variance for 1
[tex]s^2_2 = 38[/tex] represent the sample variance for 2
The statistic for this case is given by:
[tex]F=\frac{s^2_1}{s^2_2}[/tex]
Hypothesis to verify
We want to test if the true deviations are equal, so the system of hypothesis are:
H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]
H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]
Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:
[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]
And the best option would be:
d. 1.19.
Which are not changed after a rotation? Check all that apply. angle measures orientation size shape position of center of rotation
Answer:
1 3 4 5
Step-by-step explanation:
The rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.
What is an angle?
An angle measure the size, the shape, and the position of center of rotation do not change after rotation.
Which are not changed after rotation?
If one thing is rotated then it will not change the angle measures, the side lengths and shape of the body. The rotation does not change the center of object.
Learn more about angles at https://brainly.com/question/25716982
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Find the pattern and fill in the missing numbers: 1, 1, 2, 3, 5, 8, __, __, 34, 55
Answer:
13, 21
Step-by-step explanation:
Fibonacci sequence-
Each number is added to the number before it.
1+1=2
2+1=3
3+2=5
5+3=8
Answer:
The missing numbers are 13, and 21.
The pattern given is the Fibonacci Sequence, where each number is the sum of the two numbers before it, starting with 0 and 1. (i.e. 5 is 2+3)
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:
First Derivative
[tex]h'(t) = -32\cdot t +128[/tex]
Second Derivative
[tex]h''(t) = -32[/tex]
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
[tex]-32\cdot t +128 = 0[/tex]
[tex]t = \frac{128}{32}\,s[/tex]
[tex]t = 4\,s[/tex] (Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]
[tex]h(4\,s) = 576\,ft[/tex]
The highest altitude that the object reaches is 576 feet.
Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
Answer:
2^5
Step-by-step explanation:
The base is the same
2^3 * 2^2
We are multiplying, so we can add the exponents
2^3 * 2^2 = 2^(3+2) = 2^5
Answer: [tex]2^{5}[/tex]
Explanation: I have written this problem on the whiteboard.
For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.
So 2³ · 2² is just [tex]2^{5}[/tex].
A common mistake in this problem would
be for students to say that 2³ · 2² is [tex]4^{5}[/tex].
It's important to understand however that when applying your
exponent rules, your base in this case 2 will not change.
What is the range of the graph of the equation y= k/x?
Answer:
all real number except 0
Step-by-step explanation:
helpppppppp with this please will give bralienst
Answer:
n = 600
Step-by-step explanation:
To solve this equation:
1. Simplify all like terms: 5400/9 = 600 = n
2. The n cannot be simplified.
3. The answer is n = 600 because 5400/9 is 600 which is equal to n
How much dirt is in a hole that is 3 in by 3 in by 1 ft? Please give a detailed explanation for Brainliest.
Answer:
Well the best answer would be 1 0.75 cubic feet bag of dirt
Step-by-step explanation:
Solve a two step equation and identify the steps to equals 2= -7/4+1/4 X
Answer:
x = 15
Step-by-step explanation:
Step 1: Write out equation
1/4x - 7/4 = 2
Step 2: Add 7/4 to both sides
1/4x = 15/4
Step 3: Divide both sides by 1/4
x = 15
Find the lateral surface area, base area of a cylinder with radius 5 cm and height 16 cm
Answer:
Lateral surface area is
≈
502.65cm²
Base area is
=
πr^2
The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?
Answer:
-9
Step-by-step explanation:
3 time 7
minus
4 times 8
21 - 32
-11+2= -9
An exercise teacher wants each student in her class to have at least 48 square feet of space on the floor. What is the largest number of students she will allow in a classroom with a student exercise area of this size? A. 20 students B. 24 students C. 40 students D. 50 students
Answer:
D. 50 students
Step-by-step explanation:
First we find the area of the classroom which is worked out below and it is the shape of a rectangle;
Area of a rectangle = Length * Breadth
= 60 ft * 40 ft
= 2400 ft²
Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;
= [tex]\frac{2400}{48}[/tex]
= 50
This means she will allow 50 students into her class.
Answer:
50
Step-by-step explanation:
Please answer this correctly
Answer:
3/20s
Step-by-step explanation:
Factor: 3d + 6d + 3.
Hey there! :)
Answer:
3(d + 1)²
Step-by-step explanation:
Given 3d² + 6d + 3:
Begin by factoring out '3' from each term:
3(d² + 2d + 1)
Factor terms inside of the parenthesis:
3(d + 1)(d + 1) or 3(d + 1)².
Multiply: –c2(3c – 2)
Answer:
3c^3+2c^2
Step-by-step explanation:
Answer:
3c^3 +2c^2
Step-by-step explanation:
–c^2(3c – 2)
Distribute
=c^2 * 3c - c^2 * -2
3c^3 +2c^2
SOMEONE PLEASE HELP ME. WILL MARK BRAINLIEST
Answer:
Function
Step-by-step explanation:
The following is a one-on-one function since neither the domain nor the range is being repeated.
Answer:
Function
Step-by-step explanation:
A relation has a connection between the input and output.
You can determine whether each element of the domain is paired with exactly one element of the range.
A function can only have one y value for each x value, so you can't repeat the same x value.
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $34,000; second year, $76,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 1st Year 2nd Year 3rd Year 4th Year Preferred stock (dividends per share) $ 0.57 $ 0.63 $ 0.6 $ 0.6 Common stock (dividends per share) 0.00 0.09
Answer and Step-by-step explanation:
The computation of dividends per share on each class of stock for each of the four years is shown below:-
Particulars 1st year 2nd-year 3rd-year 4th year
Preferred dividend
paid a $34,000 $38,000 $36,000 $36,000
Number of preferred
stock b 60,000 60,000 60,000 60,000
Dividend per share
(a ÷ b) $0.57 $0.63 $0.60 $0.60
Dividend paid to common
stockholders c $0 $38,000 $44,000 $64,000
Number of common stock
shares d 410,000 410,000 410,000 410,000
Dividend per share
on common stock $0 $0.093 $0.11 $0.16
(c ÷ d)
Working note:
Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend
= 60,000 × $20 × 3%
= $36,000
Preferred stock
For 1st year
= $34,000
For 2nd-year
Dividend in year 2+ Dividend balance in year 1
= $36,000 + ($36,000 - $34,000)
= $38,000
For 3rd-year
= $36,000
For 4th year
= $36,000
Common stock dividend
Particulars 1 year 2 year 3 year 4 year
Total dividend paid $34,000 $76,000 $80,000 $100,000
Less:
Preferred stock
dividend $34,000 $38,000 $36,000 $36,000
Dividend paid to common
stockholders $0 $38,000 $44,000 $64,000
which of the following statements is false?
Answer:
A.
Step-by-step explanation:
It's the first one. The angles are supplementary not complementary.
Answer:
I would have to say A
Step-by-step explanation:
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
Weite the number names
31,19,624
4,06,85,012
6,500,000
25,430,756
Answer:
Thirty-one million, six hundred and twenty-four
Four billion, six million, eighty-five thousand, and twelve
six million five hundred thousad
twenty-five million, four hundred and thirty thousand and seven hundred and fifty-six
Step-by-step explanation: