Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24
Consider parallelogram QRST below. Use the information given in the figure to find m
The missing values are
<UTQ = 41 degree
x= 1
<UQT = 47 degree
We have a parallelogram QRST.
We know that the opposite sides of the parallelogram is equal and parallel then
QR || ST
QT || SR
Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)
<UTQ = 41
Similarly, <UQT = <SRQ = 47
Now, RU = UT
2x + 1= 3
2x = 2
x= 1
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If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°, how high above his starting level is the skier?
If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°, how high above his starting level is the skier is 2350 feet.
HeightGiven data:
Distance = 4700 feet
Angle of inclination = 30°
Now let determine the height by formulating an equation which will help us to find the height
4700 × sin 30°
Where:
Sin 30° = 0.5 or 1/2
Hence,
Height :
Height = 4700 feet × 0.5
Height = 2350 feet
So,
Height = 2350 feet above the starting level
Therefore we can conclude that the skier is 2350 feet above the starting level.
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HELPPP ME PRECAL CLASS
the answer is g(x)= (x+6).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given , we get,
f(x)=x^4
and, f(g(x))= (x+6)^4
hence, the answer is g(x)= (x+6).
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WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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The Monday relates to the Thursday so than, the Friday relation the ….? A: Tuesday B : Saturday C : Sunday D: Monday E:
Wednesday
Answer:
The correct answer is B: Saturday.
The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.
MAKES
Find the volume of the circular cylinder.
3. Circular Cylinder
5 mm
2 mm
The volume of the circular cylinder be,
⇒ 62.8 mm³
Given that,
For a circular cylinder,
Height = 5 mm
Radius = 2 mm
Then we have to find the volume of this circular cylinder
Since we know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.
This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
volume of circular cylinder = πr²h
Here we have,
r = 2 mm
h = 5 mm
Now put the values into the formula we get,
Volume = π x 2² x 5
= 62.8 mm³
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there are 20 questions and i got 65 percent how many did i get wrong
7 questions were incorrect.
Answer:
you would of got 7 wrong
Step-by-step explanation:
Complete the similarity statement for the two triangles shown.
Enter your answer in the box.
Answer:EDF
Step-by-step explanation:
The angle lines that are the same mean the angles are similar
Answer:
EFD
Step-by-step explanation:
You go in the same order as ABD. A has one arc, E also has one arc. B has three arcs and so does F. Finally, C and two arc and so does D
Create a hand drawn sketch of the quadratic function: f(x)= x^2 -7x+3To earn full credit be sure to identify the vertex, the axis of symmetry and all intercepts. Include all work, calculations and steps needed (as described in this lesson) to create the graph.Let your teacher know if you have any questions on how to upload or share your written work.
Given the quadratic equation:
\(y=x^2-7x+3\)To create a sketch of the quadratic function, follow the steps below.
Step 01: Find the x-intercepts.
The x-intercepts are the zeros of the function and can be found using the quadratic formula:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)In this question:
a = 1
b = -7
c = 3
Then,
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-(-7)\pm\sqrt[]{(-7)^2-4\cdot1\cdot3}}{2\cdot1} \\ x=\frac{7\pm\sqrt[]{49-12}}{2}=\frac{7\pm\sqrt[]{37}}{2} \\ x_1=\frac{7-\sqrt[]{37}}{2}=0.5 \\ x_2=\frac{7+\sqrt[]{37}}{2}=6.5 \end{gathered}\)So, the equation has the points (0.5, 0) and (6.5, 0).
Step 02: Find the vertex.
The x-vertex is:
\(\begin{gathered} x_v=\frac{-b}{2a} \\ x_v=\frac{-(-7)}{2\cdot1} \\ x_v=\frac{7}{2} \\ x_v=3.5 \end{gathered}\)And, the y-vertex is:
\(\begin{gathered} y_v=\frac{-(b^2-4ac)}{4a} \\ y_v=\frac{-\lbrack(-7)^2-4\cdot1\cdot3\rbrack}{4\cdot1} \\ y_v=\frac{-(49-12)}{4} \\ y_v=\frac{-37}{4}=-9.25 \end{gathered}\)So, the vertex is the point (3.5, -9.25).
Step 03: Find the axis of symmetry.
The axis of symmetry is the line x = xv.
So, the axis of the symmetry is x = 3.5.
Step 04: Draw the graph.
Plot the point and connect them. Then, draw the axis of symmetry.
Can you help Dora find which of the following polynomials has zeros when x = 5, 1/3, -7?
The polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
Polynomial ZerosThe zeros of the polynomial are given as:
x = 5x = 1/3x = -7Rewrite the above equations, as follows:
x - 5 = 0x - 1/3 = 0x + 7 = 0Writing the equationMultiply the above equations
\((x - 5) \times (x - \frac 13) \times (x + 7) = 0 \times 0 \times 0\)
\((x - 5) \times (x - \frac 13) \times (x + 7) = 0\)
Remove the product sign
\((x - 5) (x - \frac 13) (x + 7) = 0\)
Rewrite the above as a function
\(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
Hence, the polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
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the equation p=52+0.04w models relation between the amount of water bill payment p in dollars and the number of units of water w in slope of equation
The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.
Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.
This means that the slope represents the incremental cost of each additional unit of water.
In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.
This indicates a constant rate of increase in the water bill for each additional unit of water used.
It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.
Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.
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The probable question may be:
What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?
write the recuring deciml 0.15 as a fractions simplest form
claire boarded the airplane in richmond, va, and flew 414 miles directly to Charleston, sc. The total flight time was 3/4 hours. How fast did Claire's airplane fly, in mile per hour
Answer:
552 mph
Step-by-step explanation:
414 / 3/4 = 414 * 4/3 = 1656/3 = 552
Find the missing term represented by n:
2(7 + 9) = 2(7) + 2 (n).
2
7
9
18
(8x-7) + (x+16)=180
Solve For X
Answer:
X = 19
Step-by-step explanation:
You can combine the terms:
(8x-7) + (x+16) = 9x + 9 = 180
Next, you can subtract 9 from both sides:
9x = 171
Next, divide both sides by 9:
X = 19
Hope this Helps!!! :)
Answer:
x = 19
Step-by-step explanation:
Step 1: Define
(8x - 7) + (x + 16) = 180
Step 2: Solve for x
Combine like terms: 9x + 9 = 180Subtract 9 on both sides: 9x = 171Divide both sides by 9: x = 19Step 3: Check
Plug in x to verify it's a solution.
Substitute: 8(19) - 7 + 19 + 16 = 180Multiply: 152 - 7 + 19 + 16 = 180Subtract: 145 + 19 + 16 = 180Add: 164 + 16 = 180Add: 180 = 180Mentally convert the base 10 numerical to a numerical in the given base
Given number is
\((38)_{10}\)Converting the number to the base 6, the converted number is
\((102)_6\)What is the rate of change for the interval between 0 and
2 for the quadratic equation as f(x) = 2x² + x - 3
represented in the table?
O
23/1/2
04
05
O 10
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 2x² + x - 3
The rate of change of the function for the interval between 0 to 2 is calculated as,
Average rate = [f(2) - f(0)] / [2 - 0]
Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2
Average rate = 10 / 2
Average rate = 5
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
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Find the least common denominator (LCD) of 5/9 and 6/7
Answer:
6-3
Step-by-step explanation:
you i just need points :]
Solve the inequality and enter your solution as an inequality in the box below.
Do not use spaces in your answer.
2+ x>-8
Answer:
x > -10
Step-by-step explanation:
2 + x > -8
x > -8 - 2
x > -10
Answer:
x>-10
Step-by-step explanation:
2+x-2>-8-2
x>-10
What is the starting fee, and what does she pay monthly?
Given that the company charges a starting fee and then also charges a monthly fee, you can identify that the equation that models this situation must be a Linear Equation.
Knowing that:
- After 6 months, Elena will have paid $280 in total.
- After 14 months, she will have paid $560 in total.
You know that these two points are on the line:
\((6,280),(14,560)\)Then, you can find the slope of the line using this formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where these two points are on the line:
\((x_1,y_1),(x_2,y_2)\)In this case, you can set up that:
\(\begin{gathered} y_2=560 \\ y_1=280 \\ x_2=14 \\ x_1=6 \end{gathered}\)Therefore, substituting these values into the formula and evaluating, you get that:
\(m=\frac{560-280}{14-6}=\frac{280}{8}=35\)By definition, the Slope-Intercept Form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
You can find the value of "b" by substituting the slope and the coordinates of one of the points on the line into the equation, and then solving for "b":
\(280=35(6)+b\)\(280-210=b\)\(b=70\)In this case, let be "y" the total amount of money Elena pays for the internet service provider, and "x" the number of months.
You can set up this equation to represent the situation:
\(y=35x+70\)Where the y-intercept represents the starting fee for Elena's new internet service provider, and the slope represents the monthly fee.
Hence, the answer is:
- Starting fee: $70.00
- Monthly fee: $35.00
Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.
Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?
Answer:
-1.833 ; we do not reject the Null.
Pvalue = 0.0409 ; We do not reject the Null
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Step-by-step explanation:
H0 : μ = 13
HA : μ < 13
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(12.8 - 13) ÷ 0.5/sqrt(21)
-0.2 / 0.1091089
= - 1.833
The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528
-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.
Test statistic :
Pvalue from Test statistic at DF = 20 ; α = 0.01
Pvalue = 0.0409
Pvalue > α
0.0409 > 0.01 ; Hence, we do not reject H0.
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
By using the trapezoidal rule with 5 ordinates, approximate [sin(x²+1) dx to 4 decimal places.
Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:
∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]
where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).
First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].
Therefore, a = 0 and b = 1.
Next, we need to find h:
h = (b-a)/n = (1-0)/5 = 0.2
Now, we can apply the trapezoidal rule formula:
∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) + 2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]
≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]
≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]
≈ 0.5047
Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
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Convert 5613, base 10 to
base 8
Answer:
12755 base-8
Step-by-step explanation:
You’re welcome :) please brainliest me btw.
A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary
There are 6 numbers on a standard die and. 5 of the numbers are less than 6.
The probability would be 5/6
. You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14.30 and he leaves a 20% tip and 6 % sales tax who spent more on the bill he or she
Answer:
I slightly rounded my answers so to the nearest hundred.
You Did.Your bill is 19.65
Their bill is 18.02
Step-by-step explanation:
A spherical paintball measures 2.8 centimeters in diameter. Approximately how much paint is in it?
Surface Area of a Sphere
Given a sphere of radius r, the surface area is calculated by:
\(S=4\pi r^2\)The diameter of the paintball is d = 2.8 cm, thus the radius is r = 1.4 cm
The amount of paint on the sphere is equivalent to the surface area, or:
\(S=4\pi(1.4\operatorname{cm})^2=24.63\operatorname{cm}^2\)What is the equation of a vertical line that passes through the point (8, -1)?
Answer:
x=8
Step-by-step explanation: