Answer:
1/2 gallon
Step-by-step explanation:
Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.
[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]
The fraction of a gallon of juice left over is:
[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]
Therefore, there is 1/2 of gallon of juice left over.
To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is it’s height. What is the area of a triangle with a base of 8 and a height of 4?
Answer:
16 sq. units
Step-by-step explanation:
The formula for the area of a triangle:
A = 1/2bhIf base and height are known as:
b = 8 units and h = 4 unitsThen the area is:
A = 1/2*8*4 = 16 sq. unitsΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
Solve the quadratic equation: 6x^2-15x=0
Answer:
x=0
x=5/2
Step-by-step explanation:
6x^2-15x=0
x(6x-15)=0
Cos -1 ( 1/2) is equal to
Answer:
It's equal to 0.4999238476
The value of Cos⁻¹(1/2) is π/3 radians or 60 degrees
To solve this:
Cosine function is positive in the first and fourth quadrants.
Cos(60°) = 1/2.
Cos⁻¹(1/2) = 60°.
In radians, this angle is π/3.
Therefore, the value of Cos⁻¹(1/2) is π/3 radians (or 60 degrees).
Which equation is equivalent to 4^x+3=64
A) 2^x+6 = 2^4
B)2^2x+6 = 2^6
C) 4^2x+6 = 4^2
D)4^x+3 = 4^6
what is the y- intercept of the line?
Answer:
Your Y-Intercept should be -2
Step-by-step explanation:
You always need to look at where the line starts according to the coordinate when X = 0, or when the dot is in the very middle line.
Therefore, we can see that it starts at "down two", also known as "-2"
Answer:
it is 2
Step-by-step explanation:
to find the Y-intercept of a line, first u should find the slope intercept form
slope intercept form : y=mx+b
m=slope
b= y-intercept
first u should find the slope, so pick two points from the line and write them in a form of y2-y1/x2-x1
point 1: (1,0)
point 2: (2,2)
0-2/2-1=-2/1
m=-2
now pick one of the two points and replace it in the equation with the slope
0=-2(1)+b
solve for b
0=-2+b
add 2 on both sides
b=2
Select the statements that are true.
1. Correlation coefficients must be between 0 and 1
2. Correlation coefficients must be between-1 and 1
3. A correlation coefficient of r-0.92 indicates a strong positive correlation.
4. A correlation coefficient of r -0.01 means there is no significant correlation.
5. A correlation coefficient of r--0.17 indicates a strong, negative correlation.
6. Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.
The true statements regarding correlation coefficients are explained.
Explanation:The statement that are true regarding correlation coefficients are:
Correlation coefficients must be between -1 and 1A correlation coefficient of r -0.92 indicates a strong positive correlationA correlation coefficient of r -0.01 means there is no significant correlationA correlation coefficient of r -0.17 indicates a strong, negative correlationCorrelation coefficient is a numeric measure of the strength and the direction between two quantitative variablesCorrelation coefficients must be between -1 and 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.
Which would result in the largest amount of money?!
35% of $1,000
10% of $375
7% of $5,200
50% of $640 plus 25% of $160
answer quickly and correctly and I will mark you brainliest!
Answer:
c 364
Step-by-step explanation:
this is the correct answer because the rest are lower answers
Answer:
the answer is 7% of 5,200.
Step-by-step explanation:
35% of 1000 is 350
10% of 375 is 37.5
07% of 5,200 is 364
and 50% of 640 (320) plus 25% of 160 (40) is 360
hope this helps!
$32 for 8lbs of meat.
What is the unit rate?
Final answer:
The unit rate for meat priced at $32 for 8 pounds is $4 per pound. This method of calculation is important in retail settings, such as butcher shops, where items need to be labeled with the correct price per unit.
Explanation:
The unit rate is calculated by dividing the total price by the number of pounds of meat to determine the price per pound. For $32 and 8lbs of meat, the calculation is $32 ÷ 8lbs, which equals $4 per pound.
This price is a simplified example of how goods are priced on a per unit basis. For instance, if we were discussing the price of fish, the price per pound at an equilibrium quantity may be $3.25 per pound, which is specific to the commercial market.
Real-world Application
Grocery pricing often includes bulk pricing, discounts, or access fees, and the final cost consumers pay can be represented in various unit rates, like $xx.xx/unit in some cases. It’s important for workers in retail settings, such as at a butcher shop or grocery, to understand these concepts to label and price items accordingly.
Can you do this problem and show work
Answer:
[tex]2(3x+5)+5(2x+2)[/tex]
[tex]6x+10+5\left(2x+2\right)[/tex]
[tex]6x+10+10x+10[/tex]
[tex]16x+20[/tex]
[tex]8(3x+2)+7(x+3)[/tex]
[tex]24x+16+7x+21[/tex]
[tex]31x+37[/tex]
Use the order of operations to find the value of the expression.
2+3*16-2*21-3
O A.5
O B.14
O C.35
O D.44
Answer:A. will be your answer
Step-by-step explanation:
By using the order of operations to find the value of the expression 2 + 3 × 16 − 2 × 21 − 3, we get; A. 5
What is BODMAS?The order is called BODMAS which stands for Bracket, Of, Division, Multiplication, Addition, Subtraction.
We need to use order of operations to solve the problem;
2 + 3 × 16 − 2 × 21 − 3
we will first carry out multiplication to get;
= 2 + 48 - 42 - 3
Next in addition to getting;
= 50 - 42 - 3
= 5
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What is the answer ???
Answer:
The Answer is B
Step-by-step explanation:
Complete the statements about the graph.
units.
The length of the transverse axis is
is a focus of the hyperbola.
A vertex of the hyperbola is located at
Y
Answer:
16
(0,17)
(0,8)
Step-by-step explanation:
i got it right
The length of the transverse axis is the distance between the vertices of the hyperbola. A focus of the hyperbola is a fixed point from which distances to any point on the hyperbola have a constant difference. A vertex of the hyperbola is where it intersects its transverse axis.
Explanation:When analyzing graphs, it is crucial to understand the properties of the figures involved. In this case, we are discussing a hyperbola, which is a set of all points where the difference in the distances from two fixed points, called foci, is constant.
The length of the transverse axis of a hyperbola is the distance between its vertices. For an ellipse as shown in Figure 3.4 (b), the distance between the two vertices on the major axis is 2a, where a is the length of the semimajor axis. However, in the case of a hyperbola, the transverse axis would correspond to the axis that goes through the two vertices of the hyperbola.
A focus of the hyperbola is one of the two fixed points from which the difference in distances to any point on the hyperbola is constant. It is typically denoted as (h ± c, k) in the Cartesian coordinate system, where (h, k) is the center of the hyperbola and c is the distance from the center to each focus.
A vertex of the hyperbola is located at the point on the graph where the hyperbola intersects its transverse axis. This can be expressed as (h ± a, k) for a horizontal hyperbola or (h, k ± a) for a vertical hyperbola, where (h, k) is the center of the hyperbola and a is the length of the semimajor axis.
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The Japanese 5 yen coin has a hole in the middle.
What are the possible ways to calculate the difference
between the distances from the outer edges and the
inner edges of the coin? Check all that apply.
22 mm
Subtract the two diameters and multiply by it
Calculate the circumference of the coin.
Add the two diameters and multiply by it
Subtract the circumference of the hole from the
circumference of the coin.
Calculate the radius of the hole.
5 mm
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Step-by-step explanation:
¿Cuál es el valor de i51
?
A.
−1
B.
−i
C.
1
D.
i
Answer: Option B.
Step-by-step explanation:
We want to find the value of i^51
We know that
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
and it repeats with a period of 4, so i^5 = i^(1 + 4) = i^1= i, and so on.
so we can write it as:
x + n*4 = 51
where n is an integer number, and x is a number between 1 and 4.
clearly n must be an odd number, so we can try:
if x = 1.
1 + n*4 = 51
n*4 = 50
n = 50/4 = 12.5
This is not the solution for x, because n must be an integer number.
Now suppose x = 3.
3 + 4*n = 51
4*n = 48
n = 48/4 = 12
Then x is equal to 3, this means that:
i^51 = i^3*i^4*12 = i^3 = -i
The correct option is B
Help me solve this please!!!
Answer:
Step-by-step explanation:
i don't know but i'll help u a little put the dots together for the first one then do it for the rest sorry if i didn't help u
The hu family goes out for lunch and the price of the meal is $45 the sales tax on the meals is 6% and the family also leaves a 20% tip on the pretax amount what is the total cost of the meal
Answer:
$56.7
Step-by-step explanation:
For this, you need to find out the tip and the tax.
45 x .06 = 2.7
45 x .2 = 9
After you find out that, add them together and that will be the total cost.
45 + 2.7 + 9 = 56.7
Feel free to let me know if you need more help. :)
Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments. Whose display correctly represents the sample space? (Choice A) Nour only (Choice B) B Rana only (Choice C) C Both (Choice D) D Neither
Answer:
Both
Step-by-step explanation:
What sub category best fits the following words from list 2
Answer:
It is discovery verbs
Step-by-step explanation:
Answer: Organized contests
Step-by-step explanation:
When you go to a tournament or a pageant, it’s most likely an organized event.
Part of the graph of the function f(x) = (x + 4)(x - 6) is shown below. which statement about the function are true? Select two options. - The vertex of the function is at (1,-25) - The Vertex of the function as at (1,-24) - The graph is increasing only on the interval-4< x < 6. - The graph is positive only on one interval, where x < -4. - the Graph is negative on the entire interval -4 < x < 6.
Answer:
Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.
Step-by-step explanation:
1. the vertex of the function:
f(x)= (x + 4)(x - 6) = x^2 - 2x - 24
x₀= 2/2= 1 y₀= 1^2 - 2*1 - 24= -25
(1; -25)
2. the Graph is negative on the entire interval -4 < x < 6
Answer:
The vertex of the function is at (1,–25).
The graph is increasing only on the interval −4< x < 6.
Step-by-step explanation:
A and C on edg
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 18, 3, 0, 3, 6, 3.
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?
Answer:
[-1, 1]
Step-by-step explanation:
Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].
__
The graph in the second attachment shows that integer interval to be the only one where the function is increasing.
Answer:
-1,1
Step-by-step explanation:
time for learning
Lance the alien is 5 feet tall. His shadow is 8 feet lopg.
5 ft
8 ft
32 it
At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
Answer:
20 ft
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal.
let h be the height of the tree, then
[tex]\frac{h}{5}[/tex] = [tex]\frac{32}{8}[/tex] = 4 ( multiply both sides by 5 )
h = 20
The height of the tree is 20 ft
The height of the tree that both triangles are similar to is 20 feet.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
As per the given two triangles,
Let's say the height of the tree is h.
By similar triangle property
h/32 = 5/8
h = (5/8)32
h = 5 x 4 = 20 feet
Hence "The height of the tree that both triangles are similar to is 20 feet".
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The given sphere has a radius of 2 inches.
What happens to the volume if the radius is doubled?
lume of the new sphere is
than the volume of the original sphere.
times larger
Intro
Done
Answer: the correct answer is 8
On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).
Which is the rate of change for the interval between 3 and 6 on the x-axis?
–3
–2
2
3
Answer:
2 (c)
Step-by-step explanation:
The rate of change between 3 and 6 is 2 option (C) 2 is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A graph of a parabola is shown in the table:
The rate of change between 3 and 6:
= (4 - (-2))/(6-3)
= (4 + 2)/(3)
= 6/3
= 2
Thus, the rate of change between 3 and 6 is 2 option (C) 2 is correct.
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Consider two circular swimming pools. Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
Answer:
Pool B has the greater circumference.
Step-by-step explanation:
Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.
We want to see which pool has a greater circumference.
The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:
[tex]C = 2\pi r[/tex]
where r = radius of the circle
So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.
The radius of pool A is 16 feet.
1 foot = 0.305 metres
16 feet = 4.88 metres
The radius of pool A in metres is 4.88 metres
CIRCUMFERENCE OF POOL A
[tex]C = 2 * \pi * 4.88 = 30.66 m[/tex]
CIRCUMFERENCE OF POOL B
[tex]C = 2 * \pi * 9.94 = 62.45 m[/tex]
As we can see, pool B has the greater circumference.
Answer:
Answer is on the picture below
Step-by-step explanation: the one that only says pool is pool B
Thank you! :)
At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15. Determine the cost of a soft drink
Answer:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95
Choose the correct elevation for the peak shown.
Answer:600
Step-by-step explanation:
it’s the highest point
If X = 7 units, Y = 11 units, Z = 15 units, and h = 4 units, what is the surface area of the triangular prism shown above?
A.
419 square units
B.
330 square units
C.
359 square units
D.
463 square units
Answer:
B. 330 square units
Step-by-step explanation:
[tex] \frac{1}{2} \times11 \times 4 \times 15 \\ = 11 \times 2 \times 15 \\ = 330 \: square \: units[/tex]
Which angles are alternate exterior angles.
A circle has a circumference of 25 meters. Find the length of an arc formed from a
central angle of 90°.
Answer:
If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.
Step-by-step explanation: