Answer:
t(12)=40 t(24)=-3.2
Step-by-step explanation:
t(12)=40 because, if you replace 12 with t in the equation, everything but 40 cancels out.
t(24)=-3.2 because, if you plug in 24 for t it will be the same as the first equation where t is 0.
coven 12 - 31:1-13; wees laula
Iven
WILL GIVE BRAINLIEST PLEASE HELP
Plz help help me sombody help
Answer:
2/3
Step-by-step explanation:
We can find the slope of the line by using points
We have 2 points (-2,0) and (1,2)
Using the formula for slope
m = (y2-y1)/(x2-x1)
= (2-0)/(1--2)
= 2/(1+2)
= 2/3
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
Answer:
x = -2, y = -1 → (-2, -1)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x-3y=-1&\text{multiply both sides by (-3)}\\11x-9y=-13\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x+9y=3\\11x-9y=-13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad5x=-10\qquad\text{divide both sides by 5}\\.\qquad x=-2\\\\\text{put the value of x to the first equation:}\\\\2(-2)-3y=-1\\-4-3y=-1\qquad\text{add 4 to both sides}\\-3y=3\qquad\text{divide both sides by (-3)}\\y=-1[/tex]
Answer:
A on edge
Step-by-step explanation:
Convert the following measurements into the units given in the brackets
a. 8m (mm)
b. 0.02m (mm)
c. 110 000 mm (m)
d. 28 400 cm (km)
e. 0.00001km (cm)
f.62 743 000 mm (km)
g. 5cm (mm)
h. 2.8m (cm)
i . 521cm (mm)
j. 83.7cm (m)
k. 4.6 km (m)
l. 2170m (km)
What is the area of parallelogram ABDC
Answer:
9 cm
Step-by-step explanation:
Find the area of the 1st triangle
A=1/2 b*h
1/2 3*3
1/2 9
4.5
Find the area of the 2nd triangle
A=1/2 b*h
1/2 3*3
1/2 9
4.5
Both triangles have an area of 4.5
To find the area of the parallelogram you have to add the area of the triangles
4.5+4.5=9
A= 9 cm
Which equation is equivalent to
Answer:
Simplifying the equation:
[tex]\frac{2}{3} x - \frac{5}{6} = -\frac{5}{12} x + \frac{1}{4}[/tex]
Grouping like terms:
[tex]\frac{2}{3} x + \frac{5}{12} x= \frac{1}{4} + \frac{5}{6}[/tex]
⇒ [tex]\frac{39}{36} x=\frac{26}{24}[/tex]
Solving for 'x', we have:
⇒ [tex]x=\frac{26}{24}\frac{36}{39}=1[/tex]
For this case we place the terms with "x" on the left side of the equation, and the terms without "x" on the right side:
[tex]\frac {2} {3} x + \frac {5} {12} x = \frac {1} {4} + \frac {5} {6}[/tex]
We add similar terms:
[tex]\frac {24 + 15} {36} x = \frac {6 + 20} {24}\\\frac {39} {36} x = \frac {26} {24}[/tex]
We simplify both sides:
[tex]\frac {13} {12} x = \frac {13} {12}[/tex]
Dividing by [tex]\frac {13} {12}[/tex] on both sides of the equation:[tex]x = 1[/tex]
Answer:
[tex]x = 1[/tex]
caroline can sketch 2 cartoon strips in 5 hours. how long will it take her to sketch 4 strips
Answer:
10 hours.
Step-by-step explanation:
2 cartoon strips takes 5 hours
divide 5 by 2 to give us how much time is used for 1 strip
5/2 = 2.5 which is equal to 1 strip
Now the question is asking you how much will time for 4 strips?
Take 4 and multiply it by 2.5
4x2.5 = 10
Caroline sketches at a rate of 2 strips in 5 hours, so to sketch 4 strips, which is twice as many, it will take her twice the time, resulting in 10 hours.
Explanation:To calculate how long it will take Caroline to sketch 4 cartoon strips, we first determine her rate of sketching, which is 2 strips in 5 hours. Therefore, her rate is 2/5 strips per hour. To find out how long it takes to sketch 4 strips, we can set up a proportion where the number of strips is directly proportional to the hours spent. Since she sketched 2 strips in 5 hours, sketching 4 strips will be twice the amount of strips, thus it should take her twice the time, hence 5 hours times 2. Therefore, Caroline will take 10 hours to sketch 4 strips.
Learn more about Rate here:https://brainly.com/question/14305692
#SPJ2
If 2x + y = 6 and m - n = 2, what is the value of (4x + 2y)(4m - 4n)
Answer:
96
Step-by-step explanation:
If m - n = 2, then 4m - 4n = 4(m - n) = 4(2).
Then (4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y).
But we are told that 2x + y = 6. Multiplying all terms by 2, we get
4x + 2y = 12. Substituting 12 for 4x + 2y, we get our final answer:
(4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y), or 8(12) = 96
Answer:
96
Step-by-step explanation:
(4x + 2y)(4m - 4n) = ?
We have an equation
2x+y =6
Multiply it by 2
2(2x+y) = 2*6
Distribute
4x+2y = 12
Substitute 12 in for 4x+2y into the original problem
12(4m - 4n) = ?
We have an equation
m-n = 2
Multiply this by 4
4(m-n) = 4*2
Distribute
4m-4n = 8
Substitute 8 in for 4m -4n in 12(4m - 4n) = ?
12 * 8 = ?
96
What is the value of x?
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
The value of x in the triangle with parallel lines is 9.
To find the value of x in the equation involving a triangle with parallel lines, we can start by simplifying the equation and then solve for x.
The given equation is:
9/72 = (3x - 20)/56
Let's first simplify the left-hand side of the equation:
9/72 = 1/8
Now, the equation becomes:
1/8 = (3x - 20)/56
To isolate x, we can cross-multiply:
1 * 56 = 8 * (3x - 20)
56 = 24x - 160
Next, add 160 to both sides of the equation:
56 + 160 = 24x
216 = 24x
Finally, divide both sides by 24 to solve for x:
x = 216/24
x = 9
So, the value of x in the given equation is 9.
To know more about triangle click here :
https://brainly.com/question/30367378
#SPJ2
Which of the following lists of ordered pairs is a function?
A. (1, 2), (1,-2), (3, 2), (3, 4)
B. (1,6), (2, 7),(4,9), (0,5)
C. (0, 2), (2,3), (0, -2), (4,1)
D. (2, 4), (0, 2), (2, - 4), (5,3)
Answer:
B
Step-by-step explanation:
A. (1, 2), (1,-2), (3, 2), (3, 4)
B. (1,6), (2, 7),(4,9), (0,5)
C. (0, 2), (2,3), (0, -2), (4,1)
D. (2, 4), (0, 2), (2, - 4), (5,3)
Theres no repeating x value.
B. (1,6), (2, 7),(4,9), (0,5) this ordered pairs is a function.
What is a mathematical function?
In mathematics, an expression, rule, or law defines the relationship between one variable (independent variable) and another (dependent variable). Functions are ubiquitous in mathematics and are essential for formulating the physical relationships of the natural sciences.
The types of functions can be broadly classified into four types. Based on elements: one-to-one function, many-to-one function, on-function, one-to-one and on-function, in-function. You can set the relationship as a table of ordered pairs. Then test that each element in the domain exactly matches one element in the range. If so, you have the feature!
Learn more about function here: https://brainly.com/question/2328150
#SPJ2
Please help!!! Which is not equal to the others?
Answer:
b
Step-by-step explanation:
Given
a cos2x
b
2sinxcosx = sin2x
c
2cos²x - 1 = cos2x
d
1 - 2sin²x = cos2x
b is the expression not equal to the others
---------------------------------------------------------------------------
Note
cos2x = cos²x - sin²x = cos²x - (1 - cos²x) = 2cos²x - 1
cos2x = (1 - sin²x) - sin²x = 1 - 2sin²x
write the standard equation of a circle with the center at (-1,-4) that passes through the point (-1,-1)
Answer:
(x+1)^2+(y+4)^2=9
Step-by-step explanation:
First equation in what I like to call center-radius form is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.
So we are given (h,k)=(-1,-4) so we have so far that
(x+1)^2+(y+4)^2=r^2
Passes through the point (-1,-1) means at some point (x,y) takes on the point (-1,-1) so guess what we are going to find r^2 by plugging in that point where x and y are.
(-1+1)^2+(-1+4)^2=r^2
(0)^2+(3)^2=r^2
9=r^2
so the equation of the circle is (x+1)^2+(y+4)^2=9
Answer:
(x + 1)² + (y + 4)² = 9
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
The center is (h, k) = (-1, -4). The radius is the distance from the center to any point on the circle. (-1, -1) is 3 units above the center, so r = 3.
(x + 1)² + (y + 4)² = 9
Solve the equation x4 – 26x2 + 25 = 0 in the real number system.
Answer:
x = -1, 1, -5 , 5.
Step-by-step explanation:
x4 – 26x2 + 25 = 0
Factoring:
(x^2 - 25)(x^2 - 1) = 0
So x^2 - 25 = 0 gives x^2 = 25 and x = +/- 5.
x^2 - 1 gives x^2 = 1 and x = +/- 1.
Follow below steps:
To solve the equation x4 − 26x2 + 25 = 0, we can use substitution to simplify the equation. Let's set u = x2, which turns our equation into a quadratic form: u2 − 26u + 25 = 0.
Now, we apply the quadratic formula where a = 1, b = -26, and c = 25 to find the values of u. The quadratic formula is u = (-b ± √(b2 - 4ac))/(2a). Substituting the values, we get the roots for u which are u = 25 and u = 1.
Now we substitute back for x by setting x2 = u, which gives us two separate equations to solve: x2 = 25 and x2 = 1. Solving these, we find the solutions for x to be x = 5, x = -5, x = 1, and x = -1.
lynomials and Linear Factors
Text to Speech
Type your answer and then click or tap Done.
Write the polynomial function y = (x + 5) (x - 1)(x - 2) in
standard form.
Answer:
y = x³ + 2x² - 13x + 10
Step-by-step explanation:
Given
y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)
= (x + 5)(x² - 2x - x + 2)
= (x + 5)(x² - 3x + 2)
Multiply each term in the second factor by each term in the first factor
= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis
= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms
y = x³ + 2x² - 13x + 10
A scientist is trying to determine whether the use of cell phone contributes to brain cancer. For his study, he compares the medical records of subjects who have been diagnosed with brain cancer to the records of healthy subjects. What is the most significant weakness in this type of study?
The test groups must be unusually large to generate significant data.
The relationship between cell phone use and cancer is difficult to determine.
This type of study is expensive, and the data are difficult to analyze.
This type of study must rely on medical records, which are inaccurate.
Answer:
The relationship between cell phone use and cancer is difficult to determine.
Step-by-step explanation:
Its pretty difficult to determine the relationship between using your phone and cancer, and how they correspond to each other.
Answer:
The relationship between cell phone use and cancer is difficult to determine.
Step-by-step explanation:
There has been always a conflicting conclusions whether there is a relationship between a cell phone and the cause of brain cancer. Many years of studies by the scientist and the neurologist on the relation on cellphones and cancer have resulted in controversial arguments.
Thus, the most significant weakness in this type of study is the relationship between cell phone use and cancer is difficult to determine.
If the slope of GH is −4/5 and the slope of HJ is 3/4, find the slope of JK so that GHJK is a parallelogram. quick answer pls
Answer:
Slope of JK = -4/5
Step-by-step explanation:
We know that GHJK is a parallelogram. If GHJK is a parallelogram then the sides of parallelogram will be:
GH, HJ, JK, GK
Hence the opposite sides will be:
GH and JK
HJ and GK
We know that opposite sides of parallelogram are parallel to each other and the slopes of parallel lines is equal.
So the slope of GH and JK will be equal.
And slopes of HJ and GK will be equal.
As we are given the slope of GH which is -4/5, the slope of JK will also be -4/5 because both lines are parallel.
If you divide-16 in 5 equal parts how much is each part equal to
Answer:
-3.2
Step-by-step explanation:
Find the sum
3a/bc+2b/ac
Answer:
3a^2 + 2b^2
= ----------------------
abc
Step-by-step explanation:
3a 2b
------- + ----------
bc ac
3a^2 + 2b^2
= ----------------------
abc
For the following system, use the second equation to make a substitution for y in the first equation.
2x + y = 5
y + 3 = 2x
2x + 2x - 3 = 5
2x + 3 - 2x = 5
2x + 2x + 3 = 5
Answer:
It is A
Step-by-step explanation:
2x + y = 5
y + 3 = 2x
From equation 2:
y = 2x - 3
Substituting in the first equation:
2x + 2x - 3 = 5.
Answer:
2x + 2x - 3 = 5.
Step-by-step explanation:
Mr.santos plants beans and squash in the area shown in the model below which expression is equivalent to the sum of the two areas?
Answer:
I would go with A. 3(4 + 7) acres
Step-by-step explanation:
Easy, the expression is equivalent to the sum of two areas... Beans and the Squash... you just add them all together and you get 33 acres. Add the parenthesis first and then multiply by 3 you get 33
Answer:
the answer is 3(4+7
Step-by-step explanation:
How do I find the value of x if y=70?
Find he volume and surface area of the figure. Round to the nearest one hundredth when necessary. Explain please if you can.
Answer:
[tex]\large\boxed{V=3780\ in^3}\\\boxed{S.A.=1827\ in^2}[/tex]
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=BH[/tex]
B - base area
H - height
In the base we have the right triangle. The formula of an area of a right triangle:
[tex]A=\dfrac{(a)(b)}{2}[/tex]
a, b - legs
We have a = 14in and b = 22.5in. Substitute:
[tex]B=\dfrac{(14)(22.5)}{2}=157.5\ in^2[/tex]
H = 24in.
Calculate the volume:
[tex]V=(157.5)(24)=3780\ in^3[/tex]
The Surface Area:
We have
(1) two right triangles with area 157.5 in²
(2) three rectangles 24 in × 14 in, 24 in × 22.5 in, 24 in × 26.5 in.
Calculate the areas of the rectangles:
[tex]A_1=(24)(14)=336\ in^2\\\\A_2=(24)(22.5)=540\ in^2\\\\A_3=636\ in^2[/tex]
The Surface Area:
[tex]S.A.=2B+A_1+A_2+A_3\\\\S.A.=(2)(157.5)+336+540+636=1827\ in^2[/tex]
In simplified form, V18 is
Answer: 4.24264069
Step-by-step explanation: I think you mean the square root?
Given that (5,4) is on the graph of f(x), find the
corresponding point for the function
f(x) + 4.
Answer:
(5, 8)
Step-by-step explanation:
f(x) + 4 is the graph of f(x) translated 4 units vertically up
given (5, 4) is a point on f(x), then the coordinates of the corresponding point
x- coordinate remains unchanged and add 4 to the y- coordinate
The corresponding point on f(x) + 4 is (5, 4 + 4) = (5, 8)
Fill in the blank.in the triangle below,z degrees=___
Answer:
Z°= 88.36
Tan-1×35=88.36
Answer:
z = 38 degrees
Step-by-step explanation:
As we can see in the picture that the triangle is a right angle triangle and two of the angles are known.
We also know that the sum of internal angles of a triangle is 180 degrees.
We know that one angle is 90 degrees and second is 52 degrees.
So,
Sum of three angles = 180 degrees
90 + 52 + z = 180
z = 180 - 90 - 52
z = 38 degrees ..
What is the slope of a line that is perpendicular to the line 2y - 3x = 87
Answer:
-2/3
Step-by-step explanation:
We need to put in slope intercept form..
Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:
Let's do this:
2y-3x=86
add 3x on both sides to get 2y by itself
2y=3x+86
divide both sides by 2
y=3/2 x+43
So the slope is 3/2
The opposite reciprocal of 3/2 is -2/3 .
The answer is -2/3
What is the range of y =|3x + 1|?
Answer:
[0,∞), {y|y≥0}
Step-by-step explanation:
The graph of y =|3x + 1| is attached.
By observation, we can see that the the least y-value that the graph can take is y =0 (i.e the x-axis) and the greatest y-value that the graph can take is positive infinity.
Hence the range is [0,∞), {y|y≥0}
Final answer:
The range of the function y = |3x + 1| is [0, infinity), as absolute value functions always yield non-negative values.
Explanation:
The range of the function y = |3x + 1| can be determined by understanding the behavior of absolute value functions. The absolute value function |x| always yields a non-negative value. Therefore, for any real number x, |3x + 1| will also be non-negative. Hence, the range of y = |3x + 1| is [0, ∞), meaning that y can be any real number greater than or equal to zero.
Write as a complex number in standard form
Answer:
Complex numbers are numbers in which the real component and the imaginary part of the number are both represented. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part. An example of a complex number would be 3 +5i. 3 is the real part, and 5i is the imaginary part.
Step-by-step explanation:
Hope this helps!
The complex number 3cis210 can be written in standard form as - (3√3/2)i - (3/2).
Explanation:The complex number 3cis210 can be written in standard form as:
3cis210 = 3(cos(210°) + i sin(210°))
Using the trigonometric identities cos(210°) = -√3/2 and sin(210°) = -1/2, we can simplify:
3cis210 = 3(-√3/2 + i(-1/2))
Therefore, the complex number 3cis210 in standard form is - (3√3/2)i - (3/2).
Learn more about Complex Numbers here:https://brainly.com/question/20566728
#SPJ3
The complete Question is given below:
Write as a complex number in standard form 3cis210
What is the measure of STR?
The term STR is not sufficiently defined in the question. It could represent a mathematical concept, an angle in geometry, or a term in physics or engineering. Without any context, it's not possible to give a precise answer.
Explanation:It appears that there is some confusion in your question, as the term STR is not sufficiently defined. In general, STR could refer to a mathematical concept, a geometric angle, or a term in engineering. However, without context, it's challenging to provide a correct answer.
If STR represents 'Stress', 'Tensile Ratio', or 'Tensile Strength Ratio' in an engineering sense, it would refer to a measure of deformation due to tension. If STR stands for an angle in a triangle, it would need the triangle's full details to be calculated properly. It would be more beneficial if you could provide added context, so I could give you a more accurate response.
Learn more about STR here:https://brainly.com/question/31942445
#SPJ3
Solve the equation 9b2 + 30b + 25 = 0.
A. b = –5⁄3
B. b = –3⁄5, b = 3⁄5
C. b = –5⁄3, b = 5⁄3
D. b = 5⁄3