Answer:
The first one is X=4
the second one is 5n - 300= 1,500
Step-by-step explanation:
a pair of integers whose difference is -12
There can be infinitely many pair of integers that have the difference -12.
Examples:
1. (12),(24)
{12-24}
2. (24), (36)
{24-36}
3. (0),(12)
{0-12}
Question 14 (5 points)
Which of the following is equivalent to cos (23º)?
cos (90°)
sin (67°)
sin (23°)
cos (67°)
Answer:
Sin (67°)
Step-by-step explanation:
Cos (23°) = sin(90-23) = sin (67°)
Answered by GAUTHMATH
solve 2x+3y=11, 2x-4y=-24 ny cross multiplication method
Given cosΘ=2/3 and sinΘ>0, find sinΘ
(Just for clarification, those zeros with horizontal lines in the center represent theta)
Answer:
sinΘ = √5/3
Step-by-step explanation:
Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse
The sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3
From the Pythagoras’ theorem, we can get the opposite
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the opposite as x
3^2 = 2^2 + x^2
9 = 4 + x^2
x^2 = 9-4
x^2 = 5
x = √5
This root can be positive or negative
But since the sine is positive, we shall be considering only the positive root
Thus;
sine theta = √5/3
What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10
Answer:
Option A: x = -10 is a solution.
Step-by-step explanation:
Here we have the inequality:
3*(x - 4) ≥ 5*x + 2
We can solve this for x as follows:
first, expand the left side:
3x - 12 ≥ 5x + 2
now, move all the terms with x to one side, and the other terms to the other side:
-12 - 2 ≥ 5x - 3x
-14 ≥ 2x
now let's divide both sides by 2
-14/2 ≥ 2x/2
-7 ≥ x
So the solutions are values smaller than -7
In the options, the only value smaller than -7 is the first one:
A: -10
Then the correct option is A.
The diagram shows a prism …,
Answer:
See figure below.
Step-by-step explanation:
See the figure below.
(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Given:
The expression is:
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
This expression is equal to x.
[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]
[tex]x^{\frac{2}{5}n}=x^1[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents, we get
[tex]\dfrac{2}{5}n=1[/tex]
[tex]2n=5[/tex]
[tex]n=\dfrac{5}{2}[/tex]
[tex]n=2.5[/tex]
Therefore, the required value of n is 2.5.
I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Answer:
Segment XY congruent to Segment IJ is required.
Step-by-step explanation:
It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.
Nissa is going to plant 485 485485 trees this year. If Nissa plants 5 55 orchards of trees, how many trees will be in each orchard?
Answer:
There will be 97 trees in each orchard.
Step-by-step explanation:
Given that,
Nissa is going to plant 485 trees this year.
Nissa plants 5 orchards of trees.
We need to find the number of trees in each orchard. Let it is n. So, we can find it as follows :
[tex]n=\dfrac{485}{5}\\\\n=97[/tex]
So, there will be 97 trees in each orchard.
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
Please look at picture answer and explain work
Answer: The answer is D. 240 grams
Step-by-step explanation:
1. Find the volume.
2cm×3cm×5cm=30 cubic centimeters
2. Find the volume of the other box.
4cm×9cm×5cm=180 cubic centimeters.
3. Divide. 180÷30=6
4. 6 times the amount it can hold, 40=240 grams of clay.
Hope that helped!
Answer:
Step-by-step explanation:
we are told that the box is 2 cm high, 3 cm wide 5 cm long and holds 40 grams of clay
so 2*3*5 = 30 [tex]cm^{3}[/tex]
so the 30 cubic centimeter volume holds 40 grams ( it would have been nice if they had let the box hold 30 grams but, no :(
40/30 = 1.333333 or 1 and [tex]\frac{1}{3}[/tex] of a gram okay, sooooo now we know each cubic centimeter holds that much clay, now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice, below I solve it
twice the height so 2(2)=4 high
3 times the width , so 3(3) = 9 wide
same length, so 5 long
4*9*5 = 180
180*1.33333333333 = 240 grams of clay in 2nd bigger box :)
I'm sure there is a funny box joke in there some where :DDDD
do you get the math? :)
Can someone help with this
Answer:
Step-by-step explanation:
[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]
Mean = 3.95
B) To find the median, arrange the data in ascending order
3.3 ; 3.6 , 3.8 ; 3.8 ; 4.1 ; 5.1
As number of data is even, median = Average of (n/2)th term and (n/2)th term +1
= Average of 3 and 4th term
[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]
Median = 3.8
C) 3.8 occurs two times.
So, Mode = 3.8
d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase
e) If April (3.8) is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase
If April is deleted from chart, there will be no change in median.
Still median will be 3.8 only
what is the maximum value of y=-x^2-x+6 ?
Answer:
[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]
Help with math question
Answer:
z=4x
=14y10
Step-by-step explanation:
this is the answer
Solve |x +6| – 7 = 8.
Answer:
[tex](x + 6) - 7 = 8[/tex]
[tex]x + 6 - 7 = 8[/tex]
[tex]x - 1 = 8[/tex]
[tex]x = 8 + 1[/tex]
[tex]x = 9[/tex]
Which is a simplified form of the expression -9(y + 1) + 5y?
A. 4y + 9
B. 6y + 1
C. -14y + 9
D. -4y - 9
Answer:
option D
Step-by-step explanation:
[tex]-9( y+ 1) + 5y\\\\= -9y - 9 + 5y \\\\= -4y - 9[/tex]
What is the equation of the following line written in general form?
Answer:
The first option
Step-by-step explanation:
[tex]4x + 5y - 34 = 0[/tex]
fy
This graph shows a portion of an even function,
Use the graph to complete the table of values.
6
X
f(x)
-1
4
-3
-5
-6
2
DONE
2
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?
2 * $87 - $12 = R
2R = $87 + $12
2R - $12 = $87
2($87) - 2($12) = R
Answer:
2 * $87 - $12 = R
Step-by-step explanation:
Let R represent the cost of Vanessa's rent.
Vanessa spent $87.00 on entertainment for the week.
Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become
R = 2(87) - 12
R =
R = 174 - 12
The correct option is
2 * $87 - $12 = R
What is the coefficient of x^8 in the expansion of (x+4)^12 ?
Can someone help me with this question and show me how to solve them pleases?
Answer:
126720x⁸
Step-by-step explanation:
explanations are in the images above .. you can reach me personally for expanded help
If an interviewer did not properly follow skip patterns specified in a questionnaire, the ______________ step in data analysis would reveal the problem.
Answer:
validation
Step-by-step explanation:
A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.
This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.
A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.
Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.
During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.
in the figure above, x =
find the area of the rectangle whose dimensions are 9cm and 8cm.
Answer:
72 cm²
Step-by-step explanation:
Area = 9(8) = 72
..............
Integrate with respect to x
-2/3√((2-5x)^3)
Hello,
[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]
Can someone help me understand what I'm supposed to look for in a simple way?
Answer:
I need help on this too!
There are many examples, you can write anyone:
Vertical angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Linear pair
∠2 and ∠4
∠4 and ∠3
∠3 ans ∠1
∠1 and ∠2
∠6 and ∠8
∠8 and ∠7
∠7 and ∠5
∠5 and ∠6
Congruent angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
A triangle has two sides that measure 7 centimeters and 16 centimeters, respectively. Which statement is true about x, the length in centimeters of the third side?
7 16
x<9orx>23
Answer:
9<x<23
Step-by-step explanation:
I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.
x+7>16
x+16>7
16+7>x
=>
x>9
x>-9
x<23
=>
9<x<23
If (1/2)^n = 32, then what is n?
Answer:
2.32*10^-10
Step-by-step explanation:
n will change its position with 32
(1/2)^32=n
n=2.32*10^-10
When do you need to state a domain in your final answer?
Answer:
Not sure what you are asking.
Domain is all x values .
It can be stated in coordinates (x,y). X is the input. Y is output
It can be stated in Domain Notations such as {x | x ≥ 0}
The purpose of a Chi-Square test is to examine the relationship between an explanatory categorical variable and a response quantitative variable examine relationships between two quantitative variables. examine relationships between two categorical variables. examine the relationship between an explanatory quantitative variable and a response categorical variable None of the above are true
Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables. In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.what shape is this cause I'm having a bit of trouble?
Answer:
isn't that a square or is it called sum eles-
Step-by-step explanation: