Answer:
The answer is A
Step-by-step explanation:
You are not changing -14 into 14, you are just simply saying that you are adding more negative to -14, so instead of saying minus 6, you are saying adding -6. you are still going down on a number line either way.
Norachai won 55 lollipops playing the
bean bag toss at the county fair. At school
he gave two to every student in his math
class. He only has 7 remaining. How
many students are in his class?
Answer: 24
Step 1: Subtract 7 because Norachai has seven more lollipops.
55 - 7 = 48.
Step 2: Divide 48 by 2 because he gave every student two lollipops.
48 divided by 2 = 24.
Answer = 24
solve the system of linear equations -x+4y=-8 -1/4x+y=-1
Answer:
(- 2, - 6)Step-by-step explanation:
Given system:
x + 4y = -8 -1/4x + y = -11. Multiply the second equation by - 4 to get:
(- 4)(-1/4x + y ) = (- 4)(- 1)x - 4y = 42. Now, add this up with the first equation:
x + 4y + x - 4y = - 8 + 42x = - 4x = - 23. Find the value of y:
- 2 + y = - 8y = - 8 + 2y = - 6The solution is (- 2, - 6)
A system equation is-
[tex]\bf\begin{cases} & \bf x^4y^5+x^5y^4=810 \\ & \bf x^6y^3+x^3y^6=945 \end{cases}[/tex]
Solve for real x and y .
How to solve it? Please explain. The question is correct.
Answer:
Solution:Given that,
x⁴y⁵ + x⁵y⁴ = 810
➝ x⁴y⁴(x+y) = 810 ---(1)
[tex] \: [/tex]
Further given that,
x⁶y³ + x³y⁶ = 945
x³y³(x³y³) = 945
[tex] \: [/tex]
We know,
[tex] { \boxed{{x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2}) }}[/tex]
So, using this identity, we get,
➝ x³y³( x + y )( x² - xy + y²) = 945
---(2)
[tex] \: [/tex]
On dividing equation (1) and (2), we get,
[tex] \longrightarrow\frac{ {x}^{2} - xy + {y}^{2} }{xy} = \frac{945}{810} [/tex]
[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} - 1 = \frac{7}{6} [/tex]
[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7}{6} + 1[/tex]
[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7 + 6}{6} [/tex]
[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{13}{6} [/tex]
[tex] \: [/tex]
➝ 6x² + 6y² = 13xy
➝ 6x² - 13xy + 6y² = 0
➝ 6x² - 4xy - 9xy + 6y² = 0
➝ 2x( 3x - 2y ) - 3y( 3x - 2y ) = 0
➝ ( 3x - 2y ) ( 2x - 3y ) = 0
[tex] \longrightarrow \:{ \bold{ x = \frac{3y}{2} \: \: \: or \: \: x = \frac{2y}{3} }}[/tex]
[tex] \: [/tex]
[tex] \: [/tex]
[tex]{ \underline {\underline {\red{Case:- 1 }}}}[/tex]
[tex]{ \bold{When \: x = \frac{3y}{2}}} [/tex]
In Substating the value of x in equation (1) we get,
[tex] \frac{81 {y}^{4} }{16} \times {y}^{4} \times ( \frac{3y}{2} + y) = 810[/tex]
[tex] \frac{ {y}^{8} }{16} \times ( \frac{5y}{2} ) = 10[/tex]
[tex] {y}^{9} = 64[/tex]
[tex] {y}^{9} = {2}^{6} [/tex]
[tex] \: [/tex]
[tex] \longrightarrow \: { \bold{y = {(2)}^{ \frac{2}{3} } }}[/tex]
[tex] \longrightarrow \: { \bold{x = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]
[tex] \: [/tex]
[tex] \: [/tex]
[tex]{ \underline {\underline {\red{Case:- 2}}}}[/tex]
[tex]{ \bold{When \: x \: = \frac{2y}{3} \rightarrow \: \: y = \frac{3x}{2} }}[/tex]
On Substituting the value of y in equation (2), we get,
[tex] \frac{81 {x}^{4} }{16} \times {x}^{4} \times ( \frac{3x}{2} + x) = 810[/tex]
[tex] \frac{ {x}^{8} }{16} \times ( \frac{5x}{2} ) = 10[/tex]
[tex] {x}^{9} = 64[/tex]
[tex] {x}^{9} = {2}^{6} [/tex]
[tex] \: [/tex]
[tex] \longrightarrow \: { \bold{x \: = {(2)}^{ \frac{2}{3} } }}[/tex]
[tex] \longrightarrow \: { \bold{y = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]
2x+3<23 (convert to word problem)
Answer:
two x plus three is less than twenty-three
Step-by-step explanation:
im not sure but I think that's how you do it
if the area of square is 49msq find the length of one side and perimeter
Answer:
1 is your answer if not idk
Step-by-step explanation:
because if there is 4 and its 3 then its 1
solve for x!! pls help need to show work marking brainliest!!
Answer:
x= 161
Step-by-step explanation:
Answer:
x=45
Step-by-step explanation:
86+49=135
180-135=45
A scale drawing of a red blood cell is shown below. If the blood cell’s actually diameter is 0.008 millimeter, use a ruler to find the scale factor of the drawing.
0000.3
Step-by-step explanation:
because I need points lolol
Out of the 13 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams.
Using the combination formula, it is found that there are 286 10-person teams.
The order in which the girls are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 10 girls are chosen from a set of 13, hence:
[tex]C_{13,10} = \frac{13!}{10!3!} = 286[/tex]
There are 286 10-person teams.
More can be learned about the combination formula at https://brainly.com/question/25821700
How is adding and subtracting mixed numbers similar to adding and subtracting fractions? How is adding and subtracting mixed numbers different than adding and subtracting fractions?
Give examples to explain your answer. Use your 4th grade words.
Answer:
It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.
example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2
Step-by-step explanation:
Answer:
A mixed number is a fraction just with a whole number such as 1, 2, 3, and on. A regular fraction would be 5/10 and you can make that irregular so we can say if it was 15/10 then thats still a fraction but its improper and in order to make it proper you must make it a mixed number.
If any of this made sense then i hope i helped.
Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
So we know
[tex]\\ \rm\rightarrowtail y=ab^x[/tex]
Put what's given
[tex]\\ \rm\rightarrowtail -3=ab^0[/tex]
[tex]\\ \rm\rightarrowtail -3=a[/tex]
Now put back
[tex]\\ \rm\rightarrowtail y=-3b^x[/tex]
Range of all y values less than 0turn b to Euler's number thenAs we know that e^x has range (0,oo) when multiplied with any negative number i.e here -3 it yields y less than 0[tex]\\ \rm\rightarrowtail y=-3e^x[/tex]
Graph attached
Answer:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor)[tex]x[/tex] is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
Also [tex]b\neq 1[/tex]
Given:
y-intercept = (0, -3)[tex]\implies y=(-3)b^x[/tex]
If we want the function to be decreasing, then as [tex]a[/tex] is negative, we need [tex]b > 1[/tex] to make the overall function decreasing.
Let [tex]b=2[/tex] :
[tex]\implies y=(-3)2^x[/tex]
If we want the function to be increasing, then as [tex]a[/tex] is negative, we need [tex]0 < b < 1[/tex] to make the overall function increasing.
Let [tex]b=\dfrac12[/tex] :
[tex]\implies y=-3\left(\dfrac12\right)^x[/tex]
However, it doesn't matter whether the function is increasing or decreasing as the range of both of the above given functions is < 0 as [tex]a[/tex] is negative and [tex]b[/tex] is positive.
3 - 5 + 3(2 - 1) + 4 = 2 =
A)3.5 B)2.5 C)3 D)5
Answer:
C. 3Step-by-step explanation:
Follow (PEMDAS) order of operations
[tex]3-5+3\left(2-1\right)+4\div \:2\\\\3-5+3\cdot \:1+4\div \:2\\\\3-5+3+4\div \:2\\\\3-5+3+2\\\\3[/tex]
~
what is the formula of what is the formula of a square + b square
Answer:
Step-by-step explanation:
a² + b² = (a + b)² - 2ab
Matthew fills his dogs water bowl with 16 oz of water every morning, if his dog finishes all of his water everyday, how many ounces will his dog drink in a week?
Answer:
112
Step-by-step explanation:
16x7=112
Answer:
To answer this, you just multiply 16 by 7 because Matthew's dog drinks 16 ounces of water each day, and there are 7 days in a week. After doing so, you will find the answer of 112. So, Matthew's dog will drink 112 ounces of water in a week.
Step-by-step explanation:
Hope this helps! :)
Have a blessed day!
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Calculate the slope of the graph below. Write your answer into the blank, m=
Answer: 2
Step-by-step explanation:
Slope=rise/run
In this case
Rise=2
Run=1
2/1=2
Answer: m = 2
Step-by-step explanation:
1) m= (y2-y1)/(x2-x1)
2) let say :
y1=0
y2=4
x1=-2
x2=0
3) m= (4-0)/(0-(-2))
4) m= 4/2 =2
a.
Choose the equation that
matches the graph.
(3)***
b. y = 4* – 1
= (a)* +4
d. y = (*)* +2
y =
X
C.
y =
X
e.
y = 2*-5
har
Answer:
a
Step-by-step explanation:
y= 1/2 ^(x+4)
The inverse of a conditional statement is "If a number is negative, then it has a negative cube root."
What is the contrapositive of the original conditional statement?
If a number is negative, then it does not have a negative cube root.
O If a number does not have a negative cube root, then the number is not negative.
O If a number has a negative cube root, then the number is negative.
O If a number is not negative, then it does not have a negative cube root.
Answer:
C. If a number has a negative cube root, then the number is negative.
Step-by-step explanation:
took the quiz
The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "
What is a conditional statement?A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".
The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.
Given data ,
Let the statement be represented as A
Now , the inverse of the statement is A'
where A = "If a number is negative, then it has a negative cube root."
Now , the inverse of the conditional statement is
A' = " If a number does not have a negative cube root, then the number is not negative. "
Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "
To learn more about conditional statements click :
https://brainly.com/question/18152035
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What do the solutions of a quadratic represent graphically?
A) The x-intercepts
B) The vertex
C) The 'a' value in the quadratic equation
D) The axis of symmetry
Answer:
c
Step-by-step explanation:
Lebron scored 42 points in a game which was 40% of the points his entire team scored. How many points did Lebrons team score?
Answer:
105
Step-by-step explanation:
The point entire team scored is 100%
The point Lebron scored is 40% and that is equal to 42
if 40% is equal to 42 then to find the whole we use the following equation:
42*100/40 = 105 is the total point the team got
1) How do you know where the hypotenuse is located on a right triangle?
Answer:
Its always the side that is opposite of the right angle.
Step-by-step explanation:
Hope this helps!
Sally works in a cell phone store. She is paid
Step-by-step explanation:
is there a question here???
Answer:
Alright?
Step-by-step explanation:
two students are reading a novel. ashley reads 3 chapters per day. carly reads 2 chapters per day, but she starts early and is already on chapter 2 write a system of equations to represent the situation, using d for days and c for chapters.
The equation that represent this situation is 5d + 1 = c
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the number of days and c represent the number of chapters. Hence:
3d + 2d + 1 = c
5d + 1 = c
The equation that represent this situation is 5d + 1 = c
Find out more on equation at: https://brainly.com/question/2972832
How to solve 7 + 13n - 1 > 5 ( 2n + 2 ) + 8 by two step inequality
Answer:
n>4
Step-by-step explanation:
1. Let's first simplify each sides.
7 + 13n − 1 > 5(2n+2) + 8
a. 7 - 1
Distribute the 5.
b. 5 x 2n = 10n
5 x 2 = 10
c. 10n + 10 + 8 = 10n + 18
13n + 6 > 10n + 18
2. Now, eliminate 10n on both sides, as there can't be 2 variables on the opposite sides.
13n + 6 > 10n + 18
-10n -10n
a. 3n + 6 > 18
3. Subtract 6 from each side.
3n + 6 > 18
-6 -6
a. 3n > 18
Divide 3
b. n > 4
Sorry for the long explanation, but i hope this helps!
Mount Everest is the highest mountain on Earth, measuring 8848 meters high. It takes 40 days to climb Mount Everest. Suppose that a climber climbed the same number of meters each day. About how many meters would he climb each day (rounded to the nearest 10)?
Answer:
3/5
Step-by-step explanation:
(I'm just doing this for the badge)
Answer:
221
Step-by-step explanation:
8848 / 40 = 221.2 round down and get 221
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Angle r° = 2w°. What is the measure of angle r°? please helppp
120°
240°
286°
143°
Answer:
so involved triangles we know that one angle is 90° because of the right angle sign and you know that two x two interior angles add up to 180 angle so 90 degrees we will name the unknown angle x + x is equals to 127 degrees x is equals to 37 degrees so we have two angles are both of the triangles that is 90 degrees and 37 degrees 37 degrees is on the upper part of the triangle so it'll be 37° + 37° to get 74 degrees and the angle that you're looking for is a reflex angle so it'll be 360 degrees - 74 degrees so they think the answer is 286 degrees
(6x2 + 7x + 1) + (x2 + 5x + 6)
Step-by-step explanation:
combine the like terms
(6x^2 + x^2) + (7x + 5x) + (1 + 6)
7x^2 + 12x + 7
A rope is 250 centimeters long.
You need the rope to be 112 meters long.
How many centimeters should you cut off?
Answer:I’m guessing you meant cm for 112 so..
Step-by-step explanation:250-112=138
so 250-138=112
Answer:
100 cm
Step-by-step explanation:
112*2 then you divide & get 100
Two angles form a linear pair. The measure of one angle is 14 the measure of the other angle. Find the measure of each angle.
Smallest angle:
Largest angle:
Answer:
Step-by-step explanation:
Millie left for her trip at 11:20 a.m. on Monday. She arrived at her destination Tuesday morning at 6:48 a.m. How long was she traveling?
The time she arrived at her destination is an illustration of time duration
She travelled for 19 hours, 28 minutes
How to determine the length of the trip?The question implies that we calculate the time taken to complete the trip.
From the question, we have:
Start = 11:20 am Monday
End = 6:48 am Tuesday
So, the duration is:
Duration = End - Start
Substitute known values
Duration = 6:48 am Tuesday - 11:20 am Monday
Evaluate the difference
Duration = 19 hours, 28 minutes
Hence, she travelled for 19 hours, 28 minutes
Read more about time and distance at:
https://brainly.com/question/4931057
Solve for x. Round to the nearest tenth, if necessary.
Answer:
hello
cos 59° = IH/x
x = ≈ 58.24
Step-by-step explanation:
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. what is the 90% confidence interval for the population mean? use the table below to help you answer the question. confidence level 90% 95% 99% z*-score 1.645 1.96 2.58 remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 128.75 to 147.25 130.98 to 145.02 132.10 to 143.90 137.38 to 138.62
The 90% confidence interval for the population mean is (132.1, 143.9). Then the correct option is C.
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34.
The 90% confidence interval for the population mean. Then we have
[tex]\rm Margin \ of \ error = z * \dfrac{Standard \ deviation}{\sqrt{sample \ size}}\\\\\\\Margin \ of \ error = 1.645 * \dfrac{34}{\sqrt{90}}\\\\\\Margin \ of \ error = 5.9[/tex]
The interval will be given as
Mean ± Margin of error
138 ± 5.9
Then the interval will be (132.1, 143.9).
More about the margin of error link is given below.
https://brainly.com/question/6979326
Answer:
The answer is C. 132.10 to 143.90
Step-by-step explanation:
please brainliest? :)