Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths −4.125 −9.09 −12.96 129.09
The simplified expression in mathematical form is -45.36.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is -
(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)
Simplifying the terms inside the parentheses first, we get -
(-15 + 7.74 / 6) × (9 - 5.7)
Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -
(-15 + 1.29) × (9 - 5.7)
We add -15 and 1.29 inside the first set of parentheses -
(-13.71) × (9 - 5.7)
We subtract 5.7 from 9 inside the second set of parentheses -
(-13.71) × 3.3
Multiplying these two terms, we get -
-45.363 ≈ -45.36
Therefore, the value is obtained as -45.36.
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let $l$ be the line with equation $\dbinom{10}{3} \dbinom{-2}{1}t$. let $\mathbf{v}$ be a vector from the origin to a point on $l$. find the minimum value of $\|\mathbf{v}\|$.
The minimum value of \($\|\mathbf{v}\|$\) is zero.
The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.
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Please help, thanks!
The table and corresponding image show the proof of the relationship
between the slopes of two parallel lines. What is the missing statement in
step 4?
A. c-d=b-a
B. b-c=d-a
OC. c-0=a-b
OD. d-0=8-a
Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.
To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.
Step 1: Given the slopes of two parallel lines, m₁ and m₂.
Step 2: Assume two points on each line: (0, a) and (c, b).
Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).
Step 4: ??? (Missing Statement)
Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.
By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:
From Step 3, we have:
m₁ = (b - a) / (c - 0)
m₂ = (d - a) / (0 - c)
Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).
To express this relationship, the missing statement in Step 4 should be:
A. c - 0 = b - a
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In 2016, 595,700 Americans died of (all forms of) cancer.
Assuming a population of 321 million, what was the mortality
rate in units of deaths per 100,000 people?
The mortality rate will be 180 per 100000 people.
How to calculate the value?From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.
Therefore the mortality rate will be:
= 595700 / 321 million
= 0.0018
Therefore the mortality rate will be 180 per 100000 people.
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what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60
Answer:
B.) 30°Step-by-step explanation:
We know from the property of 30°x60°x90° right triangle:
The hypotenuse is twice the leg which is opposite to 30 angle.We see AC = 2*BC, therefore:
m∠BAC = 30°Correct choice is B
The ratio of angles is directly proportional to the ratio of sides
<B=90°The ratio of sides here is 1:1/2:1
Now
m<BAC be x\(\\ \sf\longmapsto 2x+x=90°\)
\(\\ \sf\longmapsto 3x=90\)
\(\\ \sf\longmapsto x=30\)
there is a ratio of 5 girls to 3 boys in the chorus. there are 24 in the chorus. how many girls are in the chorus
Answer:
15 girls
Step-by-step explanation:
5 + 3 = 8
24 ÷ 8 = 3
3 · 5 = 15
Check:
3 · 5 = 15
3 · 3 = 9
9 + 15 = 24
I hope this helps!!
Check all of the functions that are odd. f(x)=x3-x2 f(x)=x5-3x3 2x f(x) = 4x 9 f (x) = startfraction 1 over x endfraction
The odd functions are f(x)=x⁵-3x³+2x and f(x)=1÷x.
Given functions are f(x)=x³-x², f(x)=x⁵-3x³+2x, f(x)=4x+9 and f(x)=1÷x.
A function is said to be odd function if and only if: f(-x) = -f(x)
For every value of x in its domain.
1. f(x)=x³-x²
Substituting -x in this, we get
f(-x)=(-x)³-(-x)²
f(-x)=-x³-x²
From above we see that
f(-x)≠-f(x)
So, this function is not odd.
2. f(x)=x⁵-3x³+2x
Substituting -x in this, we get
f(-x)=(-x)⁵-3(-x)³+2(-x)
f(-x)=-x⁵+3x³-2x
f(-x)=-(x⁵-3x³+2x)
From above we see that
f(-x)=-f(x)
So, this function is odd
3. f(x)=4x+9
Substituting -x in this, we get
f(-x)=4(-x)+9
f(-x)=-4x+9
From above we see that
f(-x)≠-f(x)
So, this function is not odd.
4. f(x)=1÷x
Substituting -x in this, we get
f(-x)=1÷(-x)
f(-x)=-(1÷x)
From above we see that
f(-x)=-f(x)
So, this function is odd.
Hence, the function f(x)=f(x)=x³-x² is not odd, f(x)=x⁵-3x³+2x is odd, f(x)=4x+9 is not odd and f(x)=1÷x is odd.
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Answer:
B.) f(x)=x5-3x3+2x is odd
D.) f (x) = 1/ x is odd
Step-by-step explanation:
just did it on edg
I need help with this question, I need to find the slope and figure out if it’s a negative,positive,zero, or undefined
Plzzzz
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
Which expression represents the distance between 4.7 and −11.2 on the number line?
Answer:
4.7 - ( -11.2)
Step-by-step explanation:
4.7 - ( - 11.2) = 15.9
15.9 is the distance between 4.7 and -11.2
Hopefully this helps you
pls mark brainlest
what is the median of 11,13,24,28,30,47
The required median of the given data set 11, 13, 24, 28, 30, and 47 is 24.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
The median of a set of numbers is the middle value when the numbers are arranged in order.
First, we need to arrange the numbers in ascending order:
11, 13, 24, 28, 30, 47
For an even number of values, the median is given as
Median = n / 2 th terms
Median = 6 / 2 = 3rd term
Median = 24
So, the median of 11, 13, 24, 28, 30, and 47 is 24.
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PLEASE PLEASE HELP
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance formula, determine the most precise classification of LMNP.
So, the most precise classification of quadrilateral LMNP is a kite.
What is equation?In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.
Here,
To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.
The distance formula is given by:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using this formula, we can calculate the length of each side of the quadrilateral as follows:
LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29
MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116
NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29
PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116
Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.
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ivana has 5.50 luc has 1.4 times as much as ivana, how many indian rupees would ivana get if the value of rupees are 61.92 per dollar rate
b) What number is 10% text more than 40?
Answer:
it might be 4
Step-by-step explanation:
that's all I have
Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.
The side length of the photo will be 3 inches.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Emma wants to enlarge a square photo and print it on a square canvas.
The side length of the canvas is 12 in.
The scale from the canvas to the photo is 4 in. to 1 in.
Let a be the side length of the photo.
Then the side length of the photo will be
a = 12/4
a = 3 inches
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I NEED HELP pleaseeeeeeeeeeeee
a guy combined a 10oz substance containing 6% cottonseed with another substance containing 12% cottonseed to create a substance with 8% cottonseed. How many ounces of the 12% substance must he use?
By solving a linear equation for the concentration we will see that the guy needs to use 18 ounces.
How many ounces of the 12% substance must he use?We know that the guy used 10 ounces of 6% solution with x ounces of a 12% solution to make a 8% solution, then we can write the concentration equation:
0.06*12 + 0.12*x = (12 + x)*0.08
So we just need to solve a linear equation for x.
0.06*12 + 0.12*x = (12 + x)*0.08
0.06*12 + 0.12*x = 12*0.08 + x*0.08
0.12*x - 0.08*x = 12*0.08 - 0.06*12
0.04*x = 0.06*12
x = 0.06*12/0.04 = 18
Which means that the guy needs to use 18 ounces of the 12% substance.
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Gabrielle is 9 years younger than Mikhail. The sum of their ages is 75 . What is Mikhail's age?
Answer: We know Gabrielle is 9 yrs younger than Mikhail hence it will be x-9 yrs. Sum of their ages is 87. Mikhail's age is 48 yrs.
HOPE THIS HELPS
Zac is 18 years old.
The ratio of Zac's age to Ed's age is 2:1.
Tim's age is 2/3 Zac's age.
How old is Tim?
Answer:
Tim is 12 years
Step-by-step explanation:
Given that Zac is 18 years old and Tim's age is 2/3 Zac's age, to compute Tim's age, we would multiply Zac's age with the fraction.
Such that;
Tim's age = 2/3 * 18
= 2* 18/3
= 2 * 6
= 12 years
Hence Tim is 12 years old.
Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
Jackson has twice as many cards as his friends Alex and Chase combined. Alex has 55 Cards in his collection. Jackson Has 200 cards in his collection. How many cards does Chase have in his collection?
Answer:
45
Step-by-step explanation:
200 divided by 2 = 100-55=45
Answer:
45
Step-by-step explanation:
200-55=145
Since Jackson has twice as many as them combined, he would have 45.
1) 2x11 =
I don’t know how to do this
Answer:
22, Twenty Two
Step-by-step explanation:
A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.
Hope This Helped!
A χ2 goodness-of-fit test where all assumptions were met yielded the chi-square test statistic χ2=1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-value as a 0.75 probability of observing a test statistic of χ2=1.92 or larger. What is wrong with the researcher’s interpretation?
Answer:
The researcher did not state that the p-value is conditional on the null hypothesis being true.
Step-by-step explanation:
The p-value or the assumed value represent the probability in which the test results that are received would be atleast extreme in that the null hypothesis would be correct
Here the wrong thing would be that researcher would not stated the p value is in conditional form based on the null hypothesis being true
Therefore the correct option is A.
Can you please tell me the sum of the question
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
Can anyone help me solve this question?
x = e^y
Step-by-step explanation:
Pick any point on the graph below for a solution:
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
450.46497
Step-by-step explanation:Based on the given condition:\(We\ know\ that:\)
\(\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.\)
________________________________________________
Formulate and substitute:\(Substitute\) \(\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.\)\(into\ formula\)
\(F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6\)
_________________________________________________
Evaluate\(Evaluate\ the\ equation/expression:\\ 450.46497\)
I hope this helps you
:)
A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match strategies to their corresponding sampling techniques
Answer:
Step-by-step explanation:
Is this the question below in the file?
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
why is upendrakishore roy chouwdhury remembered
Answer:
Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.
Step-by-step explanation:
history ig