Answer:
(-8, -4) is the solution
Step-by-step explanation:
Determine whether or not (-8, -4) is a solution to this system. It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:
2(-8) = 5(-4) + 4 TRUE
3(-8) - 2(-4) = -16 TRUE
So (-8, -4) is a solution to the given system.
Check out the second possible solution in the same way:
2(8) = 5(4) + 4 FALSE
Check out the third possible sol'n in the same way:
2(-4) = 5(4) + 4 FALSE
Check out the fourth in the same way:
2(4) = 5(8) + 4 FALSE
So we conclude that (-8, -4) is the sole solution to the given system.
Answer:
(-8, -4)
Step-by-step explanation:
#9. Find the area of the triangle. Thanks!
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated using
A = [tex]\frac{1}{2}[/tex] ab sinC
where a, b are the 2 sides and C is the angle between them
here a = 9, b = 15 and C = 70°, hence
A = 0.5 × 9 × 15 × sin70° = 63.4 cm² → C
Answer:
C.[tex]63.4cm^2[/tex]
Step-by-step explanation:
I love trigonometry
the area of a triangle is equal to [tex]\frac{1}{2}*a*b*sinC[/tex]
we have a b and Angle C so just put that in the formula :)
[tex]\frac{1}{2}*9*15*sin70\\[/tex]
[tex]63.4cm^2[/tex]
In the number 4,444.444, how does the 4 in the tenths place compare to the 4 in the place to its right?
the 4 in the tens place is 10 times the 4 in the ones place
The 4 in the tenth place is the product of 10 and the 4 to its right
How to interpret the place value?The number is given as:
Number = 4,444,444
The 4 in the tenth place is:
40
The 4 to its right is:
4
Divide both numbers
40/4 = 10
Hence, the 4 in the tenth place is the product of 10 and the 4 to its right
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Eight travelers sleeping in a hostel are snoring The hostel has 15 sleeping travelers. How many travelers are not snoring?
Answer:7
Step-by-step explanation:
There are 15 sleeping and only 8 snoring you subtract 8 from 15 which leave you with 7 and that's how many people
By subtracting the number of travelers snoring (8) from the total number of travelers (15), we determine that there are 7 travelers not snoring.
To find out how many travelers in the hostel are not snoring, we will subtract the number of travelers who are snoring from the total number of travelers. The problem states that 8 travelers are snoring, and there are 15 travelers in total. So, we perform the following calculation:
Total travelers - Travelers snoring = Travelers not snoring
15 - 8 = 7
Thus, there are 7 travelers who are not snoring.
52) (−18)(7) = A) −120 B) −126 C) 120 D) 126
Answer:
B
Step-by-step explanation:
Just multiply it, which multiplies up to -126.
Answer:
Positive 126
Step-by-step explanation:
Because if you multiply a positive with a negative it becomes positive. So -18*7 would equal positive 126
PLZ HELP MEE thxxx :)
What value is equivalent to 13 − 2(1 − 15) ÷ 4?
A) -38.5
B) -26
C) 7.25
D) 20
ANSWER
D) 20
EXPLANATION
The given expression is
13 − 2(1 − 15) ÷ 4
Use PEDMAS,
Deal with the parenthesis first.
[tex]13 - 2( - 14) \div 4[/tex]
This gives us,
[tex]13 + 28 \div 4[/tex]
Next Divide :
[tex]13 + 7[/tex]
Next add to obtain,
[tex]20[/tex]
The correct choice is D.
In two or more complete sentences, explain how to solve the cube root equation, .^3√x-1+2=0
Answer:
[tex]x= -7[/tex]
Step-by-step explanation:
We need to solve the following root equation:
[tex]\sqrt[3]{x-1} + 2 = 0[/tex]
1. First, we need to add minus two to both sides of the equation:
[tex]\sqrt[3]{x-1}= -2[/tex]
2. Elevate each side of the equation to the power of 3:
[tex]x-1= -8[/tex]
3. Solve for 'x':
[tex]x= -8 + 1[/tex]
[tex]x= -7[/tex]
Therefore, the result is:
[tex]x= -7[/tex]✔️
which of the following is an arithmetic sequence 1,5,25,625 -4,-7,-10,-13,16 2,5,10,15 3,-3,3,-3,3
Answer:
The correct answer is -4,-7,-10,-13,-16
Step-by-step explanation:
a=-4
-4+t=-7
t=-7+4
t=-3
which is true for all values.
Arithmetic sequences are sequences with a constant difference between terms. The given sequences were analyzed to identify arithmetic sequences.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. To identify an arithmetic sequence ,, we look for a common difference between terms. Let's analyze each sequence:
1, 5, 25, 625: This is an arithmetic sequence because each term is obtained by multiplying the previous term by 5.-4, -7, -10, -13, 16: This is not an arithmetic sequence as the difference between terms is not constant.2, 5, 10, 15: This is not an arithmetic sequence as the difference between terms is not constant.3, -3, 3, -3, 3: This is not an arithmetic sequence as the difference between terms is not constant.Help me !! Accidentally checked in
Answer:
27 is correct.
Step-by-step explanation:
Answer: a) 27
Step-by-step explanation:
[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=3\cdot 3\cdot 3=\boxed{27}[/tex]
A point located at (0, -6) is the same distance from 0 as the point located at (0, 6). True or False
Answer:
true
Step-by-step explanation:
Choose as many answers as apply.
When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:
libraries
newspaper advertisements
bookstore
various web sites
When purchasing a car, consider using libraries, newspaper advertisements, and various websites to determine the manufacturer's invoice.
When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:
Libraries
Newspaper advertisements
Various websites
Utilizing these sources can help buyers obtain accurate pricing information before making a purchase decision.
The sources for determining the manufacturer's invoice for the basic vehicle include:
- Libraries
- Various websites
When purchasing a car, determining the manufacturer's invoice price for the basic vehicle can be crucial for negotiating a fair deal. Libraries offer access to automotive reference materials and pricing guides, providing reliable information on invoice prices. Similarly, various websites dedicated to car pricing, such as manufacturer websites, automotive research sites, and online marketplaces, offer up-to-date invoice pricing data. These sources compile information from manufacturers and dealerships, ensuring accuracy and comprehensiveness. Newspaper advertisements and bookstore resources, however, typically focus more on retail prices and promotions rather than invoice pricing. Therefore, while they may provide some insight into car pricing trends, they are not typically the primary sources for determining the manufacturer's invoice price. Utilizing libraries and online resources ensures consumers have access to accurate and detailed invoice pricing information, empowering them to make informed decisions when purchasing a car.
For which intervals is the function increasing?
Select each correct answer.
Answer:
The function increase between 0 and 1, and from 2 to infinity.
Step-by-step explanation:
Any one variable function f(x) increases when f(x2) is greater than f(x1), where x2 is greater than x1. For example, in the plot it can be seen that for x2 = 1, f(x2) = 1 and for x1 = 0, f(x1) = 0. So, between points 0 and 1, the function increase. Also, from 2 onwards, the function increase their values.
The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?
53.2%
68.2%
77.4%
81.8%
Answer:
The correct option is D. 81.8%
Step-by-step explanation:
Mean of the data set is given to be 40
⇒ μ = 40
Standard deviation of the data set is given to be 5
⇒ σ = 5
Now we are supposed to find out what percent of the numbers fall between 35 and 50
[tex]\implies z =\frac{x-\mu}{\sigma}[/tex]
Now for P(35 < x < 50) :
Substitute x = 35 ⇒ z = -1
Substitute x = 50 ⇒ z = 2
So, P(-1 < z < 2) = P(z < 2) - P(z < -1)
⇒ P(-1 < z < 2) = 0.9772 - 0.1587
⇒ P(-1 < z < 2) = 0.8185
⇒ P(-1 < z < 2) = 81.8%
Therefore, 81.8% percent of the numbers fall between 35 and 50
Hence, The correct option is D. 81.8%
which expressions are equivalent to the one above?
Answer:
B C and E
Step-by-step explanation:
A is not. -4x/1 is not the same as -1*x/4
B works. The minus sign is taken outside the brackets and 1/4 is put in the brackets. Nothing illegal has been done.
C works. 3 and -x have been put over a common denominator.
D wrong. Were did the minus sign go?
E works
-8x – 17 = -4(2x – 1) – 21
Answer:
infinite solutions
Step-by-step explanation:
Distribute the left side and simplify
- 8x - 17 = - 8x + 4 - 21
- 8x - 17 = - 8x - 17
Since both sides are equal the equation has infinite solutions
Given: m∠AOC = 120°, m∠BOD = 150°. Find: m∠FOE.
In the finding of m<FOE, I think it would be 70°.
Answer:
∠FOE = 90°
Step-by-step explanation:
In this question given is m∠AOC = 120°, m∠BOD = 150°.
We have to calculate ∠FOE.
Since ∠AOB + ∠COD + ∠BOC = 180° [ Angle at a point on a straight line ]
∠AOB + ∠COD = 180° - ∠BOC ---(1)
It is given ∠AOC = 120° = ∠AOB + ∠BOC -----(2)
and ∠BOD = 150° = ∠BOC + ∠COD ------(3)
By adding equation (2) and (3)
150 + 120 = ∠ BOC + ∠COD + ∠AOB + BOC
270 = 2∠BOC + ∠COD + ∠ AOB
Now from equation (1)
270 = 2∠BOC + (180 - ∠BOC)
270 = 180 + ∠BOC
270 -180 = ∠BOC
∠BOC = 90°
Since ∠ BOC ≅ ∠FOE (opposite angles)
Therefore, ∠FOE = 90° is the answer.
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 2x + 9, then f(-1) =
Answer:
7
Step-by-step explanation:
Replace both instances of x in f(x) = 2x + 9 with -1:
f(-1) = 2(-1) + 9 = 7
Thus, f(-1) = 7
The value of the function f(x) = 2x + 9 at x = - 1 Or f(-1) is 7.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x + 9.
We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Therefore, f(-1) = 2(-1) + 9.
f(-1) = - 2 + 9.
f(-1) = 7.
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Plz help me!!!!!!!!!!
Answer:
B) irrational
Step-by-step explanation:
It can not be imaginary, because imaginary numbers are √(negative number).
It can not be rational, because the cube root of 11 can not be displayed as a repeating or ending number (it's 2.22398009... by the way).
The only option is irrational.
Answer: irrational
Step-by-step explanation:
[tex]\sqrt[3]{11} = 2.2239800905693152........\\\\\text{It has a decimal that never terminates (ends) or r e p e a t s, so it is an}\\\text{irrational number.}[/tex]
Given: circle k(O), mAB =(6x−50)°, m∠BCA=(2x)°
Find: m∠BAC
Answer:
40°
Step-by-step explanation:
arc AB has twice the measure of the inscribed angle BCA that intercepts it, so we have the relation ...
(6x-50)° = 2(2x)°
2x -50 = 0
2x = 50
So, angle BCA has measure 50°. Since AC is a diameter, angles BCA and BAC are complementary. Thus ...
m∠BAC = 90° - m∠BCA = 90° - 50°
m∠BAC = 40°
The ratio of lifting force to area is equivalent for all pairs in the table what are the values of x and y?
The values of x and y are x = 375 square feet and y = 6,300 pounds
To find the values of x and y, we need to determine the ratio of lifting force to area and use it to fill in the missing values in the table.
Given:
- The ratio of lifting force to area is equivalent for all pairs in the table.
Let's calculate the ratio for the given pairs:
1. [tex]\( \frac{125}{1875} = \frac{150}{2250} = \frac{175}{2625} = \frac{250}{3750} \)[/tex]
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
From the given pairs, we can observe that the ratio is [tex]\( \frac{250}{3750} \)[/tex] for all of them.
Now, using this ratio, we can find the missing values:
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
[tex]\[ x = \frac{250 \times 5625}{3750} = 375 \, \text{square feet} \][/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
[tex]\[ y = \frac{3750 \times 420}{250} = 6300 \, \text{pounds} \][/tex]
Therefore, the correct values are:
[tex]\[ x = 375 \, \text{square feet} \][/tex]
[tex]\[ y = 6300 \, \text{pounds} \][/tex]
So, the correct answer is: [tex]\[ \text{Option D: } x = 375 \, \text{square feet} \, \text{and} \, y = 6300 \, \text{pounds} \][/tex]
Complete question:
The area of an airplane's wings is related to the airplane's lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces. The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y?
AIRPLANE LIFTING FORCE Area of Wings Lifting Force
125 1,875
150 2250
175 2625
250 3750
x 5625
420 y
x = 375 square feet and y = 7,500 pounds
x= 335 square feet and y = 6,300 pounds
x= 335 square feet and y = 7,500 pounds
x = 375 square feet and y = 6,300 pounds
Is this equation even or odd? Please answer asap
Answer:
The equation represents an even function
Step-by-step explanation:
For the function above, the value of f(x) is fixed at 3 for positive or negative values of x.
For the absolute value function below, the value of f(x) will always be positive due to the absolute symbol.
In general, a function f(x) is said to be even if;
f(-x) = f(x) such that the function is symmetrical with respect to the y-axis.
Each week your science teacher gives a fifteen-point quiz. Your current scores are shown in the table. What is your mean quiz score?
15 11 10 11 14 10 15 10 12
12
mean is adding all the terms and dividing by number of terms so once you add them all you be 108 and then divide by 9 giving you the mean, 12
Answer:
The mean should be 12.
Step-by-step explanation:
To find the mean of a range of numbers, you must simply add all of the numbers together and divide by how many numbers there are in the group.
In this case, I did 15+11+10+11+14+10+15+10+12, which came to be 108. I divided that by 9, since there are nine numbers, which gave me 12.
Hopefully this helps!
Use your expression to find the total cost for ordering 4 tickets online. Show your work.
$10.0000000000000000000
10.00
fill in the blank to make the two fractions equivalent.
[tex] \frac{7 }{9} = \frac{?}{36} [/tex]
what is the measure of angle C?
Does it have any ANSWER CHOISES!
Answer:
c = 36.87
Step-by-step explanation:
arcsin(3/5)=36.87
At a middle school, 39% of the students jog and 35% of the student do aerobic exercise. One out of every five students who do aerobic exercise also jogs.
what's the question????
What is the vertex of the quadratic function f(x)=(x-6)(x+2)
Answer:
vertex = (2, - 16)
Step-by-step explanation:
given
f(x) = (x - 6)(x + 2) ← equate to zero to find the zeros
(x - 6)(x + 2) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, hence
[tex]x_{vertex}[/tex] = [tex]\frac{6-2}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Substitute x = 2 into f(x) for corresponding y- coordinate of vertex
f(2) = (2 - 6)(2 + 2) = - 4 × 4 = - 16
vertex = (2, - 16)
ASAP‼️‼️‼️
Simplify the expression (x)^2(2xy^3)^5
A. 10x^3y^8
B. 32x^7^15
C. 32x^7y^8
D. 2x^3y^15
[tex]x^{2} (2xy^3)^5\\x^2(32x^5y^15)\\32x^7y^15[/tex]
your answer is B
What is the mean absolute definition of the data set? {12,4,30,16,18} ??
Answer:
the answer is 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
add the the numbers and divide the sum by how many numbers are given
Which equation is equivalent of log x^36 =2
What are the other equations to compare it to ?
Answer:
here x =6
which gives equivalent equation
[tex]log_{6} 36 = 2[/tex]
Step-by-step explanation:
[tex]log_{x} 36 = 2[/tex]
36 = [tex]x^{2}[/tex]
solving it we get ,
x =+6 and x =-6
since x is the base of log so it cannot be negative
therefore x =6
therefore this equation can be
[tex]log_{6} 36 = 2[/tex]
I need help with 6, 7, and 8.
[tex]cos\ u=-\dfrac{15}{15}\implies sin\ u=\dfrac{\sqrt{210}}{15}\\\\sin\ v=-\dfrac{5}{13}\implies cos\ v=-\dfrac{12}{13}[/tex]
6.Answer: [tex]\bold{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]
Step-by-step explanation:
[tex]cos(u+v)=cosu\cdot cosv-sinu\cdot sinv\\\\.\qquad\qquad=\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-12}{13}-\dfrac{\sqrt{210}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{12\sqrt{15}}{195}+\dfrac{5\sqrt{210}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]
7.[tex]\bold{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]
Step-by-step explanation:
[tex]sin(u-v)=sinu\cdot cosv-cosu\cdot sinv\\\\.\qquad\qquad=\dfrac{\sqrt{210}}{15}\cdot \dfrac{-12}{13}-\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{-12\sqrt{210}}{195}-\dfrac{5\sqrt{15}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]
8.Answer: [tex]\bold{-\dfrac{19}{67}}[/tex]
Step-by-step explanation:
[tex]tan\ u=-\dfrac{3}{4}\\\\cos\ v=-\dfrac{12}{13}\implies tan\ v=\dfrac{5}{13}\\\\\\\\tan(u+v)=\dfrac{tan\ u+tan\ v}{1-tan\ u\cdot tan\ v}\\\\\\.\qquad\qquad=\dfrac{\frac{-3}{4}+\frac{5}{13}}{1-(\frac{-3}{4}\cdot \frac{5}{13})}\\\\\\.\qquad\qquad=\dfrac{\frac{-39}{52}+\frac{20}{52}}{\frac{52}{52}+\frac{15}{52}}\\\\\\.\qquad\qquad=\boxed{-\dfrac{19}{67}}[/tex]