help with question 47 please
Which mixed number is greater than 6.78?
A.6 2/7
B. 6 3/4
C. 6 7/9
D.6 4/5
What is the common number between 1, and 100?
Molly jogged at a rate of 6 miles per hour. what is her rate in feet per second?
Answer: the correct answer would be 8.8 ft/s
Find an equation of the tangent line to the function y = 4x4 at the point p(1, 4).
The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given as,
y = 4x⁴
The slope of the line is given as,
m = y'
m = 16x³
m = 16 (1)³
m = 16
Then the equation of the tangent line is given as,
y = 16x + c
The equation is passing through (1, 4). Then we have
4 = 16 (1) + c
4 = 16 + c
c = - 12
The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.
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Susan's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Susan's bank hold?
Find the length of the segment then find the coordinates of the midpoint of the segment
How many photocopies can you make for $2.00 at the rate of three copies for ten cents?
Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of $36.75. write and solve an equation to find out how many muffins nikos sold.
Find f(-5) if f(x) = |x + 1|.
A.4
B.5
C.6
What is the average of all integers from 11 to 35
The point (4,-3) lies on the circle centre (-2,5). Find the radius of the circle
The radius of the circle with the given coordinates is 6.32 units.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Given that, the point (4,-3) lies on the circle center (-2,5).
Using distance formula we can find the radius of a circle
We know that, Distance =√[(x2-x1)²+(y2-y1)²]
Now, radius =√[(-2-4)²+(5-(-3))²]
=√[(-6)²+(2)²]
= √36+4
= √40
= 6.32 units
Therefore, the radius of the circle is 6.32 units.
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The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base?
In the figure, angle D measures 31° and angle A measures 27°.
The measurement of angle B is °.
The measurement of angle F is °.
Answer:
63 and 59 are correct
Step-by-step explanation:
Which function below is the inverse of f(x)=x^2-25
f(x) = x^2-25
inverse:
y = x^2-25
x = y^2-25
y = sqrt(5 +25)
Answer is B
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h ( g ( -4 ) ) ?
The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet. Find the width and length of the garden
type the slope intercept equation of the line that passes through the point (1,1)&(7,4) enter fraction in simplest form
Please help!
Which of the following functions has the greatest y-intercept?
f(x)
x y
(−3, 9)
( −2, 4)
(−1, 1)
(0,0)
( 1, 1)
(2 ,4)
g(x) = 5 cos(3x) − 5
The answer is both. Desmos graphing calculator is a great tool if you don't have a calculator on you. Hope this helps!
Plants A birch tree grew 2.5 inches in five months. A bean plant grew 8 inches in 10 months. It rosebush grew 5 inches in eight months. Which grew faster?
Answer:
Bean plant grew faster .
Step-by-step explanation:
As given
Plants A birch tree grew 2.5 inches in five months.
i.e 2.5 inches = 5 months
Now calculate birch tree in one month .
[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]
= 0.5 inches
As given
A bean plant grew 8 inches in 10 months.
i.e 8 inches = 10 months
Now calculate bean plant in one month .
[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]
= 0.8 inches
As given
It rosebush grew 5 inches in eight months.
i.e 5 inches = 8 months
Now calculate rosebush in one month .
[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]
= 0.63 inches (Approx)
Therefore Bean plant grew faster .
Which equation can be used to solve this problem?
Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?
A.
6 ÷ 2 × 3 = x
B.
6 + 3 × 2 = x
C.
6 × 3 ÷ 2 = x
D.
6 × 3 + 2 = x
what is the coefficient in the algebraic expression 7XY squared ?
If the measures of two complimentary angles are 7x and 11x , then find x
X=5
X=10
X=22.5
X=12
Answer:
x = 5
Step-by-step explanation:
Complementary angles are two angles whose sum is 90º
So, if we have two complementary angles 7x and 11x we know that their sum is 90
We are going to write the equation and solve for x:
[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]
Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º
6x equals 7-4y solve for y
The given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:
[tex]\[6x = 7 - 4y\][/tex]
First, isolate the term with y:
[tex]\[4y = 7 - 6x\][/tex]
Next, divide both sides by 4 to solve for y:
[tex]\[y = \frac{7 - 6x}{4}\][/tex]
Now, we can find the values of y for each given value of x:
1. For x = -2:
[tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]
2. For x = -1:
[tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]
3. For x = 0:
[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]
Therefore, for the given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Complete question:
Solve equation for y. Then find the value of y for each value of x.
6x = 7 - 4y; x = -2, -1, 0
Final answer:
To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.
Explanation:
To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:
6x - 7 = -4y
Next, we can divide both sides by -4 to solve for y:
y = (6x - 7) / -4
Which expression is represented by the number line?
Answer:
3 - 5.5 +1.5
Step-by-step explanation:
LEts analyze the given number line
We always start with 0
Arrow goes 3 units to the right, so we put positive 3
from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5
from -2.5 we add 1.5 to reach -1
So the expressio becoems 3 and then subtract 5.5 and then add 1.5
3 - 5.5 +1.5
.help me please thank you
the first one because all the other ones are wrong
Which set is an example of like fractions?
At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°
Answer:
60
Step-by-step explanation:
Answer: The hexagon will rotate onto itself at 60°.
Step-by-step explanation:
A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.
For a regular polygon , Order of rotation of the figure = Number of sides .
i.e. Order of rotation for hexagon = 6
Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have
[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex] [∵One complete rotation= [tex]360^{\circ}[/tex]]
Hence, The hexagon will rotate onto itself at 60°.
Please help with #10 and #11
the vertices of a parallelogram are j (-5,0) K(1,4), L(3,1) and M(-3,-3). How can you use slope to determine whether the parallelogram is a rectangle? is it a rectangle? Justify your answer.
To determine if the parallelogram is a rectangle, we can use the slopes of its sides. Given the coordinates of the vertices, we can calculate the slopes and compare them. If the opposite sides have equal slopes, then the parallelogram is a rectangle.
Explanation:To determine if the parallelogram is a rectangle, we can use the slopes of its sides. A rectangle has opposite sides that are parallel and equal in length, so the opposite sides of a rectangle will have equal slopes.
Using the given vertices, we can find the slopes for the sides:
Slope of JK = (4 - 0) / (1 - (-5)) = 4/6 = 2/3
Slope of KL = (1 - 4) / (3 - 1) = -3/2
Slope of LM = (-3 - 1) / (-3 - 3) = -4/-6 = 2/3
Slope of MJ = (0 - (-3)) / (-5 - (-3)) = 3/(-2) = -3/2
Since the opposite sides JK and LM have equal slopes of 2/3 and the opposite sides KL and MJ have equal slopes of -3/2, we can conclude that the parallelogram is a rectangle.
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