Answer:
2 hours
Step-by-step explanation:
you can write two linear equations and then set them equal to each other to see when they intersect. so for the first equation which will be representing the junior space cadets distance from his house. this can be written as
d = 50t + 50
where t represents time and d represents distance. there is 50 being added to the equation since he had already been traveling for an hour
the second equation which will represent his sister Gwen can be represented as
d = 75t
Now we set them equal to each other
50t + 50 = 75t
50 = 25t
2 = t
The area of this rectangle is 270 cm².
Work out the value of y.
(5r-8) cm
(3x + 6) cm
y cm
Not drawn accurately
Answer:
the area of rectangle is 270 cm and its length is 18 cm
the breath of the perimeter of given rectangle respectively
used concept
area of rectangle l into b where is is v is breadth of the rectangle perimeter of rectangle 2 into l + b where I and b stands for same as the
solution
let's the length of rectangle is equal to l is equal to 18 cm
breath of rectangle is is equal to b is equal to
area of rectangle is equal to 270 CM
now according to the question and l into b is equal to a
18 into b is equal to 1070
b is equal to 270 upon 18
b is equal to 15 CM
p no no perimeter of the rectangle is equal to 2 into l + b
2 multiply 18 + 15
2 X 33
is equal to 66 cm
therefore the breath and the perimeter of rectangle are 15 cm and 66 respectively
How do you find inverse functions?
will give brainliest to first helpful response
Answer:
swap x and y
Step-by-step explanation:
You can find an inverse function by replacing "x" and "y"
for example:
y = mx + b
becomes
x = my + b
if your equation is:
f(x) = 3(x²) - 3
{remember, f(x) means the same thing as y}
y = 3(x²) - 3
inverse:
x = 3(y²) - 3
this is it, hope this is helpful!!
Answer:
make every (x) a (y)
Find the length of x. Assume the triangles are similar.
Triangles are similar and only differ in size meaning they are dilated
So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)
Find scale factor:
2.4a=4.8
z=2
Find x:
we multiply the original side of the small side with the scale factor of 2
2.8(2)=x
5.6=x
So, x=5.6
what is the vertex of the graph of y = -4x(x + 2)^2 + 5
Answer:
The vertex is the point of coordinates (-2 , 5)
Step-by-step explanation:
we notice that the equation of the parabola is given in vertex form :
y = -4(x + 2)² + 5
then
y = -4(x − (-2))² + 5
Therefore
The vertex of the graph is the point (-2 , 5)
Sparky bought a rare Mickey Mantle baseball card for $16,500 that is increasing 8% in value every year. How much will the card be worth in 7 years?
Answer: 28,278.10
Step-by-step explanation:
[tex]a_{7} =16500(1.08)^7[/tex]
[tex]a_{7} =28278.1[/tex]
Find (f + g)(x).
(f + g)(x) =
The value of (f + g)(x) is 2x + 8
Complete questionLet f(x) = 4x + 3 and g(x) = -2x + 5.
Find (f + g)(x).
How to evaluate the composite function?The functions are given as:
f(x) = 4x + 3
g(x) = -2x + 5
The composite function (f + g)(x) is calculated using
(f + g)(x) = f(x) + g(x)
Substitute known values
(f + g)(x)= 4x + 3 - 2x + 5
Evaluate the like terms
(f + g)(x)= 2x + 8
Hence, the value of (f + g)(x) is 2x + 8
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What is the solution to the following system of equations? (1 point)
x − 3y = 5
2x + y = 10
(5, 0)
(0, 5)
(7, 0)
(0, 7)
Answer:
Step-by-step explanation:
Simplify -3/2÷9/6
○-4
O-1
04
01
Answer:
-1
Step-by-step explanation:
the answer snis negative One
A right angle measures 90 degrees
Step-by-step explanation:
yes right angle measure 90 degrees
mark me brainliest
Can you answer the question
Step-by-step explanation:
Hi There! Let me help you :)
[tex] = 8.8.8.8.8.8.8[/tex]
[tex] = ( \text{there \: are \: 7 \:numbers \: eight })[/tex]
[tex] \: [/tex]
So we can rewrite the above equation to be like this.
[tex] = 8.8.8.8.8.8.8[/tex]
[tex] = 8.(1 + 1 + 1 + 1 + 1 + 1 +1)[/tex]
[tex] = 8.7[/tex]
Talia is writing a coordinate proof to show that the diagonals of a square are perpendicular. Which sentence describes what Talia should do to show that the diagonals of the square are perpendicular?
Answer:
D
Step-by-step explanation:
The product of the slopes of two perpendicular lines is -1.
If the slopes of the diagonals are 1 and -1, then their product is -1, and they are perpendicular.
Answer: D
A sentence that describes what Talia should do to show that the diagonals of the square are perpendicular is: D. show that the slope of SQ is 1 and the slope of PR is -1.
How to determine whether the quadrilateral is a square by using slope?In order for a quadrilateral to be a square, the two (2) pairs of its sides must be equal (congruent) and perpendicular to each other.
Therefore, we would have to calculate the slope of each side by using this mathematical equation:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m₁) of SQ = (a - 0)/(a - 0)
Slope (m₁) of SQ = a/a = 1.
Slope (m₂) of PR = (a - 0)/(0 - a)
Slope (m₂) of PR = -a/a = -1.
Based on the condition for two (2) perpendicular lines, we have:
m₁ × m₂ = -1
1 × -1 = -1
-1 = -1
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can someone please help meee
Answer:
Step-by-step explanation:
Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)
Divide.
6√3 cis(7π/6) ÷ 3√5 cis(π/3)
[tex]\dfrac{6\sqrt 3~ \text{cis} \left( \dfrac{7 \pi} 6 \right)}{3 \sqrt 5 ~\text{cis} \left( \dfrac{\pi}{3}\right)}\\\\\\=\dfrac{2\sqrt 3 \cdot e^{i\tfrac{7\pi}{6}}}{\sqrt 5\cdot e^{i \tfrac{\pi}{3}}}\\\\\\=\dfrac{2 \sqrt 3}{\sqrt 5} \cdot \left(e^i \right)^{\tfrac{7\pi}{6} - \tfrac{\pi }{3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\text{cis}~ \theta = e^{i \theta}\right]\\\\\\=\dfrac{2 \sqrt{3}}{\sqrt 5} \cdot \left(e^i\right)^{\tfrac{5\pi}6}\\\\\\=\dfrac{2\sqrt{3}}{\sqrt 5}\cdot e^{i\tfrac{5 \pi}6}\\\\\\[/tex]
[tex]=\dfrac{2\sqrt{3}}{\sqrt 5} \left[ \cos \left(\dfrac{5\pi}{6}\right) + i \sin \left(\dfrac{5\pi}{6}\right) \right]~~~~~~~~~~~~~~~~~~;\left[e^{i\theta} = \cos \theta + i \sin \theta} \right]\\\\\\=\dfrac{2\sqrt{3}}{\sqrt 5}\left[ \cos \left(2 \times \dfrac{\pi}2 -\dfrac{\pi}{6} \right) + i\sin \left(2 \times \dfrac{\pi}2 -\dfrac{\pi}{6} \right) \right]\\\\\\=\dfrac{2\sqrt{3}}{\sqrt 5} \left[ -\cos \left(\dfrac{\pi}{6}\right) + i \sin \left(\dfrac{\pi}{6}\right) \right]\\\\\\[/tex]
[tex]=\dfrac{2\sqrt{3}}{\sqrt 5}\left( -\dfrac {\sqrt{3}}{2} + i \cdot \dfrac 12 \right)\\\\\\=-\dfrac{3}{\sqrt 5} + i \dfrac{\sqrt 3}{\sqrt 5}[/tex]
Answer:
Step-by-step explanation:
Just took the test:
6sqrt3 cis (7pie/6)/ 3sqrt5 cis (pie/3)=
2sqrt15/5 cis (5pie/6)
What is another way to write the absolute value inequality p ≤ 12? O-12≤p≤ 12 O-122p≤12 O-12 ≤por p≤ 12 -122P or p≤ 12 958 What is another way to write the absolute value inequality p ≤ 12 ? O - 12≤p≤ 12 O - 122p≤12 O - 12 ≤por p≤ 12 -122P or p≤ 12 958
Answer:
-12 ≤ p ≤ 12
Step-by-step explanation:
If the absolute value inequality is
|p| ≤ 12,
then the answer is
-12 ≤ p ≤ 12
Jithu is curating Christmas hampers for his neighbours.
A minimum of 6 cupcakes are to be included in a hamper box.
If he wants to pack 665 cupcakes evenly into hamper boxes, what could be the smallest number of cupcakes that can be included in one hamper box?
1 hamper box, curated by Jithu can be contained 5 cupcakes.
Calculation:The total amount of cupcakes =665 nos.
Jithu wants to create a gift box, each of which contains 6 cupcakes.
We have to see first, whether 665 could be equally distributed or not.
Hence, 665/6= 110.84 unit
It is seen that the number is in a fraction.so, It can be said that 665 cakes cannot be equally distributed to each gift pack carrying 6 cakes.
Hence, 110*6=660 cupcakes.
∴665-660= 5 cupcakes in one box
So, it is concluded that Jithu could be prepared 110 gift boxes containing 6 cakes each & 1 box containing 5 cupcakes.
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please help asap Part of the proceeds from a garage sale was $540 worth of $5 and $20 bills If there were 3 more bills $5 bills than $20 bills, find the number of each denomination.
Answer:
15 ($20 dollar bills) and 19 ($10 dollar bills) ! Pretty sure this is correct, if wrong let me know and i'll make a question for you to give your points back, i dont know if i can do that but i can try!! Have a good day.
What is the measurement of m? 24 6
The value of n is 12. and m is 6root5
We have given the diagram,
The measurement of m,
n = 12
According to the altitude theorem
What is the altitude theorem?
The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two-line segments it creates on the hypotenuse.
24/n = n/6
The Cross multiply
24 * 6 = n²
144 = n²
n² = 144
n = √144
n = 12
[tex]m^2=6^2+n^2[/tex]
[tex]m^2=6^2+12^2\\m^2=36+144\\m^2=180[/tex]
[tex]m=\sqrt{180} \\m=2\cdot \:3\sqrt{5}\\m=6\sqrt{5}[/tex]
Hence the value of n is 12.
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Answer:
12
Step-by-step explanation:
Graph of y = log(-x)?
Answer:
lklklkj
Step-by-step explanation:
67890-
Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?
Answer:
13x = 39
x=3
y=10
How do you factor a^2-b
Answer:
a
2
−
b
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
and
b
=
b
.
What are the coordThe general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0.
The equation of this circle in standard form is
. The center of the circle is at the point
, and its radius is
units.inates for the center of the circle and the length of the radius?
The equation of this circle in standard form is (x-2)² + (y+3)² = 18
The center of the circle is at the point (2,-3), and its radius is 4.2426 units
What is circle?Circle is the 2D geometry which is round in shape with radius R.
Given is the general form of the equation of a circle is
7x² + 7y² − 28x + 42y − 35 = 0.
Dividing by 7, we get
x² -4x + y² + 6x = 5
Completing the squares, we have
x² -4x + 4 + y² +6x + 9 = 5 +4 + 9
(x-2)² + (y+3)² = 18 = (3 √2)²
Circle's center is (2,-3) and radius = 3 √2 = 4.2426 units
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Answer:
(x-2)^2 + (y+3)^2 = 18,
2,-3
3(2^(1/2)) units
Step-by-step explanation:
Below
Sarah bought snacks for her team's practice. She bought a bag of chips for $1.56 and a 20-pack of juice bottles. The total cost before tax was $33.96. Write and solve an equation which can be used to determine j, how much each bottle of juice cost.
The equation is 1.56 + 20x = 33.96 and the value of x is 1.62.
What is Equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Here, Based on the given conditions, formulate: 1.56 + 20 × x = 33.96
Rearrange unknown terms to the left side of the equation: 20x = 33.96-1.56
Calculate the sum or difference: 20x = 32.4
Divide both sides of the equation by the coefficient of variable: x = 32.4/20
Calculate the product or quotient: x = 1.62
get the result: x = 1.62
Thus, the equation is 1.56 + 20x = 33.96 and the value of x is 1.62.
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In triangle ABC, what is the m
Answer: 38°
Using cosine rule,
a² = b² + c² -2bc cos(A)
Insert values from diagram
14² = 18² + 22.8² - 2(18)(22.8) cos(A)
196 = 324 + 519.84 - 820.8 cos(A)
-820.8 cos(A) = 196 - 324 - 519.84
-820.8 cos(A) = -647.84
cos(A) = -647.84/-820.8
A = cos^{-1} (-647.84/-820.8)
A = 37.88°
A ≈ 38°
Answer:
[tex]\boxed {38^{o}}[/tex]
Step-by-step explanation:
Applying Law of Cosines :
⇒ a² = b² + c² - 2bc(cos A)
⇒ 14² = 22.8² + 18² - 2(22.8)(18)(cos A)
⇒ 820.8(cos A) = 519.84 + 324 - 196
⇒ 820.8(cos A) = 647.84
⇒ cos A = 647.84/820.8
⇒ cos A = 0.789278752
⇒ m ∠A = cos⁻¹ (0.789278752)
⇒ m ∠A = 37.88 ≈ 38°
Which table represents a linear function?
Answer:
The first one (x=1 and y=1/2)
Step-by-step explanation:
The first table is the only one that has a constant rate of change. The x value increases by 1, and the y value increase by 1/2.
Hope this helped :)
Answer:
The first one where x increases by 1 and y increases by 1/2.
Step-by-step explanation:
To find the equation, 1/2=1+b
Solve for b
1/2-1=-0.5
B=-0.5
Now, solve for x
1/2=x-0.5
As you can already see in the table, x increase by 1, so no need to even solve.
The equation would be y=1x-0.5 (I’ll post the graph in the picture to prove it is linear.
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable yy is 1 and the degree of variable x is 1.
find the pattern of 1,2,6,18 and state if its arithmetic or geometric
Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?
Answer:
75 km
Step-by-step explanation:
(50km/h)(1.5h) = 75km
What is the equation of a sine function with an amplitude of 2 and a period of 4π?
y = one-half sine (2 x)
y = one-half sine (4 pi x)
y = 2 sine (one-half x)
y = 2 sine (4 pi x)
The general equation
y=Asin(Bx)B is period and A is amplitude
A=2RearrAnge
y=2sinBxPeriod:-
2π/4π2/41/2So final equation
y=2sin(1/2x)Option C
help me please grade 5 math fast as possible please
Answer:
21/4
Step-by-step explanation:
Answer:
[tex]\frac{42}{8}[/tex]
Step-by-step explanation:
• First multiply the numerators:
6 x 7 = 42
• Then multiply the denominators:
(6 doesn't have a denominator, which is the same as having a denominator of 1)
1 x 8 = 8
∴ The answer is [tex]\frac{42}{8}[/tex] .
Please hurry i need this asap!!!
Answer:
D
Step-by-step explanation:
d) A number plus eight is five times the number
Step-by-step explanation:Keywords within mathematical phrases can be "translated" into an algebraic equation.
Keywords
First, let's define some of these keywords that can help us answer the question.
"A number" can be replaced with the variable, x"Plus" is obviously used to denote addition"Is" is used in place of an equal sign"Times" is used to show multiplicationWriting Out the Expression
In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.
This creates the new sentence, "A number plus 8 is equal to five times a number."can someone do this i sent a ss with it aswell
Answer:
the answer is 6
Step-by-step explanation:
1. 3x+4=22
2. subtract 4 from both sides
3x+4=22
-4=22
-4
3. rewrite the equation 3x=18
4. divide 3 from both sides
3x/3=18/3
hint: 3x/3 cancels out so you just have x
5. divide 18 by 3
6.x=6