Answer:
18
Step-by-step explanation:
Answer:
18.
Step-by-step explanation:
[4 + (3 - 1)] * 3
= (4 + 2) * 3
= 6 * 3
= 18
Hope this helps!
In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
The sports car travels along a straight road such
that its acceleration is described by the graph. Construct the
v-s graph for the same interval and specify the velocity of
the car when s = 10 m and s = 15 m.
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
for the interval 0-10 seconds,
a(t) = t m/s^2
v(0) = 0
v(t) = v(0) + integral(a(t)dt)
= 0 + [t^2/2]
= (1/2) t^2
s(0) = 0 .................. arbitrary
s(t) = s(0) + integral(v(t)dt)
= 0 + integral ((1/2)t^2)
= (1/6)t^3
When s(t) = 10 m,
(1/6)t^3 = 10
t^3 = 60
t_1 = 60 ^(1/3) = 3.9149 s approx.
v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s
When s = 15 m
(1/6)t^3 = 15
t^3 = 90
t_2 = 4.4814 s approx.
v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
I took the test and got it right
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
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The sum of a number and 9 is seven less than the product of the number and 4. What is the number?
Answer:
10
Step-by-step explanation:
let n represent the number
sum means to add
product means multiply
n + 9 < n • 4
if you fill in 10 for your variable n you will get:
19 < 40
10 plus 9 is 19
10 by 4 is 40
and
because 19 is less than 40 that statement is true
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
PLZ HELP Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3
Answer:
f(x) = -7x² - x + 2
Step-by-step explanation:
Quadratic functions are set up in the form ax² + bx + c. f(x) = 0x² + 3x -3 is also set up in this format but 0x² would simplify to 0 which means the equation is actually f(x) = 3x-3 and does not fit in the quadratic function format. The other equations are also not set up in ax² + bx + c.
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
A polynomial with degree 2 is called a quadratic equation.
The quadratic equation is in the form of ax² + bx + c.
The equation that represents a quadratic equation is
f(x) = -7x² - x + 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1, and c = 2
Option B is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with degree 2 is called a quadratic equation.
The quadratic equation is in the form of ax² + bx + c.
Now,
f(x) = 2x³ + 2x² - 4
This is not a quadratic equation since it has a degree of 3.
f(x) = -7x² - x + 2
This is a quadratic equation since its degree is 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1 and c = 2
f(x) = -3x + 2
This is not a quadratic equation.
Its degree is 1.
f(x) = 0x² + 3x - 3
f(x) = 3x - 3
This is not a quadratic equation.
Thus,
The equation that represents a quadratic equation is
f(x) = -7x² - x + 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1, and c = 2
Option B is the correct answer.
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Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
PLEASE HELP ME!!!
===================================================
Explanation:
Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.
The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.
The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207
Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.
3-(x-3)=25 solve the equation
Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
WILL MARK BRAINLEST
Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
Options:
An 80% increase followed by a 40% decrease
A 33 1/3% decrease followed by a 50% increase
A $25 increase followed by a $30 decrease
A 50% decrease followed by a 100% increase
A 20% increase followed by a 25% decrease
And they go into the categories that are...
Same as the original
Less than the original
And
Greater than original
Answer:
Let x be the original number. Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)
1)1.8*0.6x= 1.08x (greater than the original)
2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)
3)x+25-30 = x-5 (less than original)
4)0.5*2x=x (same as original)
5)1.2*.75x=.9x (less than original)
Hope it helps <3
Greater than the original.
Same as the original.
Less than the original.
Same as the original.
Less than the original.
Step-by-step explanation:To check all the scenarios, let's say that the original value is 100.
An 80% increase followed by a 40% decrease:
100 * (1 + 0.8) = 100 * 1.8 = 180.
180 * (1 - 0.4) = 180 * 0.6 = 108.
It is greater than the original.
A 33 1/3% decrease followed by a 50% increase:
100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.
66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.
It is the same as the original.
A $25 increase followed by a $30 decrease:
100 + 25 = 125.
125 - 30 = 95.
It is less than the original.
A 50% decrease followed by a 100% increase:
100 * (1 - 0.5) = 100 * 0.5 = 50.
50 * (1 + 1) = 50 * 2 = 100.
It is the same as the original.
A 20% increase followed by a 25% decrease:
100 * (1 + 0.2) = 100 * 1.2 = 120.
120 * (1 - 0.25) = 120 * 0.75 = 90.
It is less than the original.
Hope this helps!Plz.. Help me.. True or false?
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex](p-q)^2[/tex]
[tex](p-q)(p-q)[/tex]
Use FOIL method.
[tex]p^2-pq-pq +q^2[/tex]
[tex]p^2-2pq +q^2[/tex]
Help me with this I’m confused
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
work out the value of x and y in this diagram. All measurement are in centimeters
Answer:
X = 5
Y = 7
Step-by-step explanation:
First we will find x
4x + 2 = 3x + 7
x + 2 = + 7
x = 5
Next we will find y
2y + 9 = 4y - 5
-2y + 9 = -5
-2y = -14
y = 7
The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no
Answer:
no
Step-by-step explanation:
It is an equal lateral triangle, a right triangle has a side that is longer then the others
Can someone give me some help??
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
John is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 7 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
(A) 5.5
(B) 5.8
(C) 6.0
(D) 6.3
(E) 6.5
Answer:
Average speed
= 5 5/6 mph , or
= 5.83 mph (to 2 decimals)
Step-by-step explanation:
Average speed is total distance divided by the total time it takes to cover the given distance.
Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.
Let
x = distance uphill, and also distance downhill.
Total distance = 2x miles
Total time = x/5 + x/7 hours = 12x/35 hours
Average speed
= total distance/total time
= 2x / (12x/35) mph
= 70x / 12x
= 5 5/6 mph
= 5.83 mph (to 2 decimals)
Please help if you are correct you get brainlyest
Answer:
did you already try A???
Answer:
Probability : [tex]\frac{5}{33}[/tex]
Step-by-step explanation:
The probability of drawing an orange on the first attempt would be 5 / 12, considering that in this first attempt their are 5 oranges present out of a total of 12 fruits. Now after that fruit is chosen their are 4 out of 11 oranges present, such that the probability of drawing an orange on the second attempt would be 4 / 11.
Probability of choosing an orange on the first try : [tex]5 / 12[/tex]
Probability of choosing an orange on the second try : [tex]4 / 11[/tex]
Probability of selecting two oranges in a row ( blindfolded ) : [tex]5 / 12 * 4 / 11[/tex]
[tex]\frac{5}{12}\cdot \frac{4}{11}[/tex] ( cross cancel common factor 4 )
[tex]\frac{5}{3}\cdot \frac{1}{11}[/tex] ( multiply fractions )
[tex]\frac{5\cdot \:1}{3\cdot \:11}[/tex] = [tex]\frac{5}{3\cdot \:11}[/tex] = [tex]\frac{5}{33}[/tex] - the probability of selecting two oranges in a row blindfolded, is [tex]\frac{5}{33}[/tex].
How do you solve a system of equations approximately using tables, without using graphs or equations ? Please I need to figure out how to do it with out graphing or equations
Answer:
Ok, a system of equations means that we have a given number of equations with the same solutions.
If we only have tables, this means that we need to have one table for each equation:
For example, if we are working only with two variables, x and y, in those tables we can see the pints (x, y) that belong to each equation.
Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation
This would mean that if we graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.
Other way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
What pattern exists in the three places in each period?
356,039
I don't understand this
also
Use number names and numerals to write 900,000+60,000+3,000+100+4
Answer:
the pattern is (hundreds, tens, ones)963 thousand 104Step-by-step explanation:
a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.
__
b) The given expanded form adds up to give ...
963,104
Based on the above discussion, the name of this number is ...
"nine hundred sixty-three thousand one hundred four"
Using digits to help write this, it would be 963 thousand 104.
Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
Answer:
2
Step-by-step explanation:
|a+x|/2-|a-x|/2
Plug in the values.
|-2+-6|/2-|-2- -6|/2
Evaluate.
|-8|/2-|4|/2
Apply rule : |-a| = a
8/2 - 4/2
4 - 2
Subtract.
= 2
The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
Answer:
Hey there! The correct answer is A. Data set C.
---
What is standard deviation?Standard deviation is simply defined as the spread of a data set in relation to the mean of the data set. The standard deviation can be calculated with a formula as shown below.
[tex]\displaystyle \sigma = \sqrt{\frac{\Sigma(x_i-\mu)^2}{N}[/tex]
What does each variable stand for?Each variable has a significant meaning for this formula.
[tex]\sigma[/tex] - the standard deviation of the population[tex]\Sigma[/tex] - the summation of all values after the symbol[tex]x_i[/tex] - all data values in the set[tex]\mu[/tex] - the mean of the population[tex]N[/tex] - the number of data valuesWith this information, we can find the standard deviation of a data set.
What does standard deviation mean for a data set?Generally speaking, statisticians want a standard deviation that is on the lower end so that conclusions can be drawn about the data that was observed.
If a standard deviation is large, that means that most of the data is quite far from the mean and the data usually disproves a hypothesis. This is undesirable since the original hypothesis cannot be proven with this experiment.
When the standard deviation is quite low, this points to data that can be relied upon since it fulfills the initial requirement to prove the hypothesis.
Therefore, since the highest standard deviation correlates with the most spread out data, A. Data set C is the answer.
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
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While standing in front of the school
Answer:
Step-by-step explanation:
what do u see!????????
These figures are similar the area of one is give. Find the area of the other
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
use the graph to find the cost of 8 shirts
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.
Answer:
Onyango is 48, his daughter is 16 and his son is 12
Step-by-step explanation:
Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:
x + 8 = 12 + (1/3x + 8 + 1/4x + 8)
x + 8 = 7/12x + 28
5/12x = 20
x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12
Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 significance level to test the claim of cereal lobbyist that the mean sugar content for all cereals is less than .3 g. Data set: 0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
Answer:
Step-by-step explanation:
Hello!
X: content of sugar of a sample of cereal.
Data set:
0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
n= 16
[tex]\frac{}{X}[/tex]= 0.295g
S= 0.17g
You have to test if the mean sugar content is less than 0.3g
H₀: μ ≥ 0.3
H₁: μ < 0.3
α: 0.05
Assuming that the variable has a normal distribution, you have to conduct a t test:
[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]
[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]
p-value: 0.4533
The p-value is greater than α, the decision is to not reject the null hypothesis.
At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.
I hope this helps!
What is the greatest common factor of the three terms?
36h, 12h6, 48h5
Answer:
12hStep-by-step explanation:
each term has h^1
each term's coefficient is divisible by 12
12h( 3, h^5, 4h^4)
So, the GCF is 12h