Answer:
B
Step-by-step explanation:
its a graph and I agree math is dumb
Answer:
agreed
Step-by-step explanation:
On a trip mrs. ahmed drove 188 miles in 4 hours. On the return trip, she took a different route and traveled 197 miles in 4.5 hours. What was the average rate of speed for the trip?
Answer:
45.29 miles per hour
Step-by-step explanation:
Speed is the distance over time. To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.
Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)
Avg. Speed = 45.29 miles per hour
Hence the average rate of speed for the trip was 45.29 miles per hour.
Cheers.
--------------------------------------------------------
Edit: Thanks to Chegsnut36 for calculation correction
Answer:
≅45.29
Step-by-step explanation:
Hey there!
To find the average rate speed we need to add all the same number.
188 + 197 = 385
4 + 4.5 = 8.5
Now to find the average rate we do,
385 ÷ 8.5 ≅ 45.29
Hope this helps :)
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario? x + y = 500. 215 x + 615 y = 187,500 x minus y = 500. 215 x minus 615 y = 187,500 500 x + 500 y = 187,500. 215 x = 615 y 500 x = 500 y. 215 x + 615 y = 187,500
Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
And, Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season.
Now,
Let us take 'x' is plant acres of corn and 'y' is acres of cotton.
Since, A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
So, we can formulate;
⇒ x + y = 500
And, He has $187,500 to invest this season for corn costs $215 per acre to produce, and cotton costs $615 per acre to produce.
So, We can formulate;
⇒ 215x + 615y = 187,500
Thus, The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
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A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
o 10
013
0 31
O 34
Answer:c.31
Step-by-step explanation:
The value of function f (1) is,
⇒ f (1) = 31
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
A sequence is defined by the formula,
⇒ f (n+1) = f(n) - 3
Now, We can find the value of f (1) as;
Here, f (4) = 22
Put n = 3;
⇒ f (n+1) = f(n) - 3
⇒ f (3+1) = f(3) - 3
⇒ f (4) = f (3) - 3
⇒ 22 = f (3) - 3
⇒ 22 + 3 = f(3)
⇒ f(3) = 25
Put n = 2;
⇒ f (2+1) = f(2) - 3
⇒ f (2+1) = f(2) - 3
⇒ f (3) = f (2) - 3
⇒ 25 = f (2) - 3
⇒ 25 + 3 = f(2)
⇒ f(2) = 28
Put n = 1;
⇒ f (n+1) = f(n) - 3
⇒ f (1+1) = f(1) - 3
⇒ f (2) = f (1) - 3
⇒ 28 = f (1) - 3
⇒ 28 + 3 = f(1)
⇒ f(1) = 31
Thus, The value of function f (1) is,
⇒ f (1) = 31
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Which movie had the audience with the younger median ?
A. Movie A
B. Movie B
C. Both
D. Cannot be determined
How can we tell? Look at the vertical lines inside the box. This is where the median is located. For movie A, the inner vertical line is somewhere between 30 and 40 (perhaps 35 or so). So this is the median for movie A. Meanwhile, the median for movie B is somewhere between 40 and 50. I'd say maybe 46 or 47 as its a bit higher than the halfway point.
-----------
Extra info:
The left edge of the box is the first quartile (Q1).The right edge of the box is the third quartile (Q3).The tip of the left whisker is the min value, assuming there are no outliers to the left.The tip of the right whisker is the max value, assuming there are no outliers to the right.Use the Cross Products Property to solve the proportion
5/n =16/32
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
If we have our proportion set up like this:
[tex]\frac{5}{n} = \frac{16}{32}[/tex]
Then using the cross products property, we can find the value of n.
The property states that the two numbers that are diagonal to each other DIVIDED by the number diagonal to the variable will equal the variable.
So:
[tex]32\cdot5 = 160\\160\div16 = 10[/tex]
Hope this helped!
A blueprint for a house has a scale factor n = 10. A wall in the blueprint is 7 in. What is the length of the actual wall?
840 ft.
5.83 in.
70 ft.
5.83 ft.
Answer:
5.83 ft
Step-by-step explanation:
Given that
Scale factor, n = 10
Wall in blueprint = 7 in
To find:
Length of actual wall = ?
Solution:
Whenever a blueprint is created for any house or building, it is made smaller by a scale factor.
Here this factor is 10 times.
That means, the blueprint size is 10 times smaller than that of its actual size.
Or we can say that actual wall of building is 10 times the wall of blueprint.
So, wall of building = 10 [tex]\times[/tex] 7 = 70 inches
Now, we know that 12 inches = 1 ft
1 inch = [tex]\frac{1}{12}\ ft[/tex]
70 inches = [tex]\frac{1}{12}\times 70\ ft = 5.83\ ft[/tex]
so, the answer is Wall of building is 5.83 ft.
Isiah determined that 5a2 is the GCF of the polynomial
a3 – 25a2b5 – 35b4. Is he correct? Explain.
Answer:
No
Step-by-step explanation:
He's not correct because 5a² isn't a factor of a³ or 35b⁴; in order for something to be the GCF of a polynomial, all of the terms must be evenly divisible by it.
Answer:
a^3 – 25a^2b^5 – 35b^4
He is incorrect since the coefficient of the a^3 term is 1, the GCF cannot contain a coefficient of 5. Also, there is no a in all terms, so a^2 is also not a common factor.
For the function whose graph is shown, which is the correct formula for the function?
Answer:
y=-2x+3 (first choice)
Step-by-step explanation:
-y-intercept is at positive 3, so the "b" value is +3
-the line is going downward from left to right, so the slope is negative
-slope is defined as rise over run, which is 2/1, or 2, so the "m" value is -2
-that gives you the functions equation to be y=-2x+3.
Find the length, x,of the third side of the triangle.
====================================================
Explanation:
This is a visual example of the pythagorean theorem. We add the areas of the two squares to get
13+29.25 = 42.25
Then we apply the square root to this to get the value of x, which is the hypotenuse of the right triangle
x = sqrt(42.25) = 6.5
---------
Side note: if you're curious about finding the other lengths of the triangle, apply the square root to those areas. The blue area 29.25 will lead to a side length of approximately sqrt(29.25) = 5.4083269; the red square will follow the same idea.
Answer:
Step-by-step explanation:
area of a square=a²
A=29.25
a=side=√29.25 first square
second square =a=√13
find x(c)
right triangle: a²+b²=c²
(√29.25 )²+(√13)²=c²
29.25+13=c²
c=√(29.25+13)=6.5 unit
are these two expressions equal? (q-r)^2 and q^2-r^2?????
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex](q-r)^2[/tex]
Expand brackets.
[tex](q-r)(q-r)[/tex]
[tex]q^2 -rq -rq+r^2[/tex]
Combine like terms.
[tex]q^2 -2rq+r^2[/tex]
The expression is not equal to [tex]q^2 -r^2[/tex].
Answer:
Yes, they are.
Step-by-step explanation:
[tex](q - r) {}^{2} =( q) {}^{2} - (r) {}^{2} = q {}^{2} - r {}^{2} [/tex]
[tex](q - r) {}^{2} = q {}^{2} - r {}^{2} [/tex]
Hope this helps ;) ❤❤❤
A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 12 members and any member can be elected to each position? No person can hold more than one office.
Answer:
1320 setsStep-by-step explanation:
This problem brothers on selection without repetition, so we will be using permutation to solve this problem.
Given
n= 12 ,which is the number we are choosing from
r= 3, which is the number of committee(president, vice-president, and secretary-treasurer.)
[tex]= \frac{n!}{(n-r)!}[/tex]
Substituting we have
[tex]= \frac{12!}{(12-3)!}\\\\ = \frac{12!}{(9)!}\\\\= \frac{12*11*10*9!}{9!}[/tex]
[tex]= 12*11*10= 1320[/tex]
HELP ASAP!!! BRAINLIEST!
Answer:
( 1/25 x^-12 y^-14 )
Step-by-step explanation:
( 5 x^6 y^7 ) ^-2
We know that ( ab) ^c = a^ c * b^c
( 5^-2 x^6^-2 y^7^-2 )
We know that a^b^c = a^(b*c)
( 5^-2 x^-12 y^-14 )
We know that a^ -b = 1/ a^b
( 1/25 x^-12 y^-14 )
Yo tenía $2.00
Mi mamá medio$100
Mi papá medio$100
Mi tío y mi tía me dieron $100
Y yo tenía otros $5.00
Cuanto tenía??
Answer:
$307
Step-by-step explanation:
$2.00 + $100 + $100 + $100 + $5.00 = $307
PLSSS HELPFind the next term of the sequence. 1, 8, 27, 64, ..
Answer:
125
Step-by-step explanation:
So you can see that the sequence is all of the perfect cubes so knowing that the next perfect cube we have to find is 5's perfect cube which is 125.
Answer:
192
Step-by-step explanation:
PLEASE HELP ME GUYS!! Write and solve equations based on the angle relationships in the diagram below to find the measure of ∠EKC and ∠CKA
Answer:
x = 65°
y = 25° (equations in explanation)
Step-by-step explanation:
We know that EKD is 25° and we know that DKB is 90°.
EKD, DKB, and BKF are supplementary. This means that their angle measures add up to 180°.
So, since we know two, we can find the other very easily.
[tex]180 - (25+90)\\180 - 115\\65[/tex]
This means that BKF is 65°.
Now, BKF and EKC are alternate interior angles, so they have the exact same measurement. Therefore, EKC, x, is 65°.
Again, EKC, CKA, and AKF are supplementary. AKF is 90° and EKC is 65°, so we can find the measure of CKA easily.
[tex]180 - (65+90)\\180-155\\25[/tex]
Therefore y is 25° and x is 65°.
Hope this helped!
Given trapezoid PQRS, find the length of midsegment TU.
Answer:
Option (4)
Step-by-step explanation:
In the given picture,
Trapezoid PQRS has two points T and U as the midpoints of sides PS and RQ.
Segment TU joins the midpoints of the sides PS and RQ.
Mid-segment theorem states that "If a line joining midpoints of a trapezoid is parallel to the bases, length of this segment is half the sum of lengths of the bases."
Therefore, m(TU) = [tex]\frac{1}{2}(m\text{PQ}+m\text{SR})[/tex]
7x - 26 = [tex]\frac{1}{2}[(3x+23)+(9x-3)][/tex]
7x - 26 = 6x + 10
7x - 6x = 26 + 10
x = 36
m(TU) = 7x - 26
= 7(36) - 26
= 252 - 26
= 226
Therefore, Option (4) will be the answer.
Help with alll❤️ Please
Plz
Answer:
A, B, A
Step-by-step explanation:
(3)
Given
- 2x² + 10x + 12 ← factor out - 2 from each term
= - 2(x² - 5x - 6) ← factor the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and + 1, since
- 6 × 1 = - 6 and - 6 + 1 = - 5, thus
x² - 5x - 6 = (x - 6)(x + 1) and
- 2x² + 10x + 12 = - 2(x - 6)(x + 1) → A
(4)
[tex]x^{4}[/tex] - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
[tex]x^{4}[/tex] - 81
= (x² )² - 9²
=(x² - 9)(x² + 9) ← note that x² - 9 is also a difference of squares
= (x - 3)(x + 3)(x² + 9) ← in factored form
x² - 3 is not a factor → B
(5)
Given
5[tex]x^{4}[/tex] - 320 ← factor out 5 from each term
= 5([tex]x^{4}[/tex] - 64) ← difference of squares
= 5(x² - 8)(x² + 8) → A
In a bag containing cards numbered 1 to 10,one of which is drawn at random.Find the probability that it is a 5
Answer:
1/10
Step-by-step explanation:
there are 10 cards, numbered 1 through 10, there is one "5" card. so that's 1 card out of 10 cards, therefore a 1/10the chance or a 10% chance you'll get a 5 (or any specific number)
Simplify :
a–(b–c)+(m+n)
x+a + (m – 2)
m + (a–k–b)
x + (a–b) – (c–d)
Answer:
The simplified expressions are
1) a - b + c + m + n
2) x + a + m - 2
3) m + a - k - b
4) x + a - b - c + d
Step-by-step explanation:
1) a - (b - c) + (m + n)
To simplify the above expression, we have;
a - (b - c) + (m + n) = a - b - (-c) + m + n = a - b + c + m + n
2) x + a + (m - 2)
To simplify the above expression, we have;
x + a + (m - 2) = x + a + m - 2
3) m + (a - k - b)
To simplify the above expression, we have;
m + (a - k - b) = m + a - k - b
4) x + (a - b) - (c - d) = x + a - b - c -(- d)) = x + a - b - c + d
Which system of inequalities has this graph as it’s solution
Answer:
Option (B)
Step-by-step explanation:
In the graph attached,
Two lines graphed have the equations as,
y = 2x - 3 [A line having y-intercept as (-3)]
[tex]y=\frac{1}{3}x+4[/tex] [Line having y-intercept as (4)]
Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].
Now shaded region will decide the signs of the inequalities.
Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,
y > 2x - 3
Since, shaded region of [tex]y=\frac{1}{3}x+4[/tex] is above the line, inequality showing this region will be,
[tex]y>\frac{1}{3}x+4[/tex]
Therefore, Option (B) will be the answer.
Answer:
B
Step-by-step explanation:
Just is cuh
What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin? On a coordinate plane, line segment A B has points (negative 6, 8) and (negative 3, 3). (–9, 9) (9, –9) (–1, 1) (1, –1)
Answer: (–9, 9)
Step-by-step explanation:
if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then
The coordinates of the image point are (kx, ky).
Given: The coordinates of line segment A B are A(-6,8) and B(-3,3).
then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,
[tex](-3,3)\to(3(-3),3(3))\\\\\Rightarrow\ (-3,3)\to(-9,9)[/tex]
Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).
Answer:option A.
Step-by-step explanation: because the point B is dialated and that’s where you will find you answer and edge cumulitive exam 2020.
simultaneous equations 2x + y = 21 x - y = 6
Step-by-step explanation:
this is substitution method
Answer:
2x + y = 21
+
x - y = 6
_________
3x = 27
x = 27 ÷ 3
x= 9
x - y = 6
9 - y = 6
9 - 6 = y
3 = y
Therefore, x= 9 and y = 3
Please answer this correct answer now fast
Answer:
WX = 8 mm
Step-by-step explanation:
To be able to solve for WX, we need to first find the size of angle [tex]\angle z[/tex].
We use the law of sines in the blue triangle to do such:
[tex]\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022[/tex]
Now we can use this value in the larger right angle triangle where WX is the opposite side to angle [tex]\angle z[/tex], and the 20 mm side is the hypotenuse:
[tex]sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm[/tex]
which rounded to the nearest integer gives
WX = 8 mm
Please help me... tysm if you do
Answer:
The answer is B.
Step-by-step explanation:
Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)
x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.
Where L is the length, in feet, of the pendulum, and π is approximately 22 7 . How long must the pendulum be if one complete cycle takes 8 seconds?
Answer:
Length L = 51.88 feet
Step-by-step explanation:
From the given information,
The length of the pendulum can be determined by using the Formula for the period T which is the time of one full oscillation of a simple pendulum.
[tex]T = 2 \pi \sqrt {\dfrac{L}{g}}[/tex]
where;
T = period of the time of one full oscillation = 8 seconds
L = length in feet
g = acceleration due to gravity in feet = 32 ft/s²
π = 22/7
[tex]8 = 2 \times \dfrac{22}{7} \times \sqrt {\dfrac{L}{32}}[/tex]
[tex]8 = 6.2857 \times \sqrt {\dfrac{L}{32}}[/tex]
[tex]\dfrac{8}{6.2857} =\sqrt {\dfrac{L}{32}}[/tex]
[tex]1.273=\sqrt {\dfrac{L}{32}}[/tex]
[tex]1.273= {\dfrac{\sqrt L}{ \sqrt {32}}}[/tex]
[tex]1.273 \times { \sqrt {32}}}= {\sqrt L}[/tex]
[tex]7.2012= {\sqrt L}[/tex]
L = 7.2012²
L = 51.88 feet
halla la medida del lado de un cuadrado cuya diagonal es de 14 cm
Answer:
7√2 cm
Step-by-step explanation:
Aquí, estamos interesados en encontrar la longitud del lado de un cuadrado que tiene una longitud diagonal de 14 cm.
Una diagonal es una línea que se extiende desde un borde del cuadrado hasta el otro borde del cuadrado internamente.
Ahora, una diagonal de un cuadrado junto con dos lados de un cuadrado forman un triángulo rectángulo isósceles, siendo la diagonal la hipotenusa de este triángulo rectángulo.
Sabemos que los lados de un cuadrado tienen la misma longitud y, por lo tanto, llamemos a este lado desconocido x cm.
Matemáticamente, según el teorema de Pitágoras, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los otros dos lados.
Por lo tanto, tenemos;
14 ^ 2 = x ^ 2 + x ^ 2
196 = 2x ^ 2
dividir ambos lados por 2
98 = x ^ 2 x = √98
x = √ (49 * 2)
x = 7√2 cm
Por lo tanto, la longitud del lado del cuadrado es de 7√2 cm
Please answer it now in two minutes
Answer:
∠ T ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin T = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{SU}{ST}[/tex] = [tex]\frac{4}{10}[/tex] , thus
∠ T = [tex]sin^{-1}[/tex] ([tex]\frac{4}{10}[/tex] ) ≈ 23.6° ( to the nearest tenth )
5 - 2x/ 7 is greater than or equal to 1
5 - 2x >= 1 × 7
5 - 2x >= 7
-2x >= 7 - 5
-2x >= 2
x <= -1 sign changes when divided by negative number
Find the area of equilateral triangle with side a.
Answer:
[tex]\frac{\sqrt{3} }{4} a^2[/tex]
Step-by-step explanation:
To find the area of an equilateral triangle, we can apply a formula.
[tex]A=\frac{\sqrt{3} }{4} s^2[/tex]
[tex]A= area\\s=side \: length[/tex]
The side length is given a.
Plug a in the formula as the side length.
[tex]A=\frac{\sqrt{3} }{4} a^2[/tex]
Answer:
3 square root over 4 a square
Step-by-step explanation:
What is the solution to this system of linear equations? 3x – 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, –1) (14, –18)
Answer:
work is shown and pictured
The solution to the system of linear equation is (x, y) = (6, 2)
3x - 2y = 14 (1)
3x - 2y = 14 (1)5x + y = 32 (2)
From (2)
y = 32 - 5x
Substitute y = 32 - 5x into (1)
3x - 2y = 14 (1)
3x - 2(32 - 5x) = 14
3x - 64 + 10x = 14
13x = 14 + 64
13x = 78
x = 78/13
x = 6
Substitute x = 6 into (2)
5x + y = 32 (2)
5(6) + y = 32
30 + y = 32
y = 32 - 30
y = 2
(x, y) = (6, 2)
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