Answer:
A 61.00
Step-by-step explanation:
51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.
) Find the gradient of a line joining the points 1) (1,-1) and (4,9) 2) (5,1)and(2-2) 2) Find the x and y intercepts for the equation 3y = 2x-2
The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.
1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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I need help with math ngl
Answer:
Oldest to newest:
10^-35, 10 ^-10, 0
Step-by-step explanation:
Scientific notation
To figure out the power of 10 think "how many places do I move the decimal point?"
When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.
When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.
p = $390, r=6.25%, t = 2.75 years
HERE
The simple interest is $0
(Round to the nearest cent as needed.)
9514 1404 393
Answer:
$67.03
Step-by-step explanation:
The interest formula is ...
I = Prt
Using the given values, we have ...
I = $390·0.0625·2.75 = $67.03125 ≈ $67.03
The simple interest is $67.03.
_____
Additional comment
Here, the time period is given in years. The number of days per year is only relevant if the time period is given as a number of days or other sub-unit of a year.
Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
Please answer quickly!!! I'll give BRAINLIEST!!!!! I attached the picture.
Answer: No.
Step-by-step explanation:
The graph doesn't represent a linear, exponential, or quadratic function.
An example of a linear function is a straight line.
An example of a quadratic function is like a smile.
An example of an exponential function is a curved line.
So hence, this doesn't represent a function.
Reply below if you have any questions of concerns.
You're welcome!
- Nerdworm
((1-sin^2 theta)/(cos theta))
Para pegar un clip en el cuadro de texto, tócalo.
HELP!!! The graph shows the relationship between the distance that a snail crawls and the time that it crawls. What numbers will correctly complete the table below?
Answer:
its c because i took the quiz
Step-by-step explanation:
I took the quiz
a sample of 25 workers with employer provided health insurance paid an average premium of $6600 eith a sample standard deviation of $800. Construct a 95% confidence interval for the mean premium amount paid by all workers who have employer provided health insurance g
Answer:
$6284.4≤μ≤$6313.6
Step-by-step explanation:
Using the formula for calculating confidence interval as shown:
CI = xbar ± Z×S/√n
xbar is the average premium
Z is the z-score at 95% confidence
S is the standard deviation
n is the sample size
Given parameters
xbar = $6600
Z score at 95% CI = 1.96
S = $800
n = 25
Substituting this parameters in the formula we have;
CI = 6600±1.96×800/√25
CI = 6600±(1.96×800/5)
CI = 6600±(1.96×160)
CI = 6600±313.6
CI = (6600-313.6, 6600+313.6)
CI = (6284.4, 6913.6)
Hence the 95% confidence interval for the mean premium amount paid by all workers who have employer provided health insurance is $6284.4≤μ≤$6313.6
The dimensions of a triangular prism are shown in the diagram.1010 cm8 cm34 cm12 cmWhat is the volume of the triangular prism in cubic centimeters?
The dimesions of the prism are,
Base, b = 12 cm,
Height h = 8 cm
Length l = 34 cm.
The formula for the volume of the prism is,
\(V=\frac{1}{2}\cdot b\cdot h\cdot l\)Determine the volume of triangular prism.
\(\begin{gathered} V=\frac{1}{2}\cdot12\cdot8\cdot34 \\ =1632 \end{gathered}\)So answer is 1632 cubic centimeter.
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?
Use the trapezoid shown to new each statement below as true or false, if false rewrite the statement correctly in the space below the statement.
Note that the perimeter of the trapezoid shown is 23 units. Thus, the statement is false.
How so you arrive at that?To derive the perimeter we must know the following:
a = base = 5
b = base = 8
d = side = 4
c is the hypotenuse" = (h x base of the right triangle) = (4x3)/2 = 6
Thus, Perimeter of the trapezoid = a + b + c + d =
5 + 8 + 4 + 6
= 23 units.
Thus, the statement that the perimeter of the trapezoid shown is 22 units is false.
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Full Question>
Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
m<1=
What is the measure of <1?
1
(5x − 2)°
(8x + 1)º
Answer:
m<1 = 147°
Step-by-step explanation:
We know that the sum of all the angles in a triangle is 180.
Given the small right angle, which lies to the right of the triangle, we know that the straight line splitting the right angle and the triangle is a perpendicular bisector. This means that the final angle in the triangle is a right angle.
Thus, we can use this formula to find x:
\(5x-2+8x+1+90=180\\13x+89=180\\13x=91\\x=7\)
By plugging in 7 for x in the angle beside <1 we find that it measures 5(7)-2 = 33°
We know that this angle and angle 1 are supplementary angles and the sum of the two angles must equal 180°.
So we can simply subtract 33 from 180 to find m<1:
\(180-33=147\)
What inequality is represented by the number line graph?
Answer:
D. x ≤ 5
Step-by-step explanation:
The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).
And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5
Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2, . . . , 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on).
Required:
a. What is the probability that both selected setups are for laptop computers?
b. What is the probability that both selected setups are desktop machines?
c. What is the probability that at least one selected setup is for a desktop computer?
d. What is the probability that at least on computer of each type is chosen for setup?
Answer:
a. \(\frac{1}{15}\)
b. \(\frac{2}{5}\)
c. \(\frac{14}{15}\)
d. \(\frac{8}{15}\)
Step-by-step explanation:
Given that there are two laptop machines and four desktop machines.
On a day, 2 computers to be set up.
To find:
a. probability that both selected setups are for laptop computers?
b. probability that both selected setups are desktop machines?
c. probability that at least one selected setup is for a desktop computer?
d. probability that at least one computer of each type is chosen for setup?
Solution:
Formula for probability of an event E can be observed as:
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)
a. Favorable cases for Both the laptops to be selected = \(_2C_2\) = 1
Total number of cases = 15
Required probability is \(\frac{1}{15}\).
b. Favorable cases for both the desktop machines selected = \(_4C_2=6\)
Total number of cases = 15
Required probability is \(\frac{6}{15} = \frac{2}{5}\).
c. At least one desktop:
Two cases:
1. 1 desktop and 1 laptop:
Favorable cases = \(_2C_1\times _4C_1 = 8\)
2. Both desktop:
Favorable cases = \(_4C_2=6\)
Total number of favorable cases = 8 + 6 = 14
Required probability is \(\frac{14}{15}\).
d. 1 desktop and 1 laptop:
Favorable cases = \(_2C_1\times _4C_1 = 8\)
Total number of cases = 15
Required probability is \(\frac{8}{15}\).
Need help answering the following polynomial
The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).
The given expression is \(-x^{2}-\frac{1}{6}\).
We have to complete the given sentence;
The expression represents a ........... polynomial with ........terms. The constant term is .........., the leading term is..........., and the leading coefficient is .................... .
we first complete the given sentence then we explain the sentence.
The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).
Firstly about Quadratic Polynomial
When the highest degree term in a second-degree polynomial equals to 2, the polynomial is said to be quadratic.
Now about Constant Term
A number that is constant and does not have any variables in an algebraic expression is a constant term.
Now about Leading Coefficient
The numbers placed in front of the variable with the biggest exponent are known as leading coefficients.
Hence, the expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).
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When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by the equation below, where theta is the grade and W is the weight of the automobile.
F = Wsin theta
A 2710-lb car traveling uphill has a grade resistance of 160 lb. What is the angle of the grade?
theta =__.
(Type your answer in degrees. Round to the nearest hundredth as needed.)
Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:
F = Wsinθ
Where:
F represents the grade resistance or force in pounds.θ represents the grade W represents the weight of a physical object.Making theta (θ) the subject of formula, we have:
θ = sin⁻¹(F/W)
Substituting the given parameters into the formula, we have;
θ = sin⁻¹(160/2710)
θ = sin⁻¹(0.0590)
Theta, θ = 3.38 degrees.
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I need a step by step explanation as well as work
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
A model rocket is launched from ground level. It’s flight path is modeled by the following equation Y= -16t^2+160t where h is the height of the rocket above the ground in feet and t is the time after the launch in seconds. what is the rocket’s maximum height? when did the rocket reach the maximum height?
The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.
To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.
The vertex of the parabola is given by the following formula:
(-b/2a, c - b^2/4a)
In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:
(-160/2(-16), 800 - 160^2/4(-16))
(5, 800)
Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.
Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod.
Answer:
b. The engineer who weighed the rod 25 times.
Step-by-step explanation:
Hello!
Full text:
Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod.
Suppose the engineers construct a 90% confidence interval for the true length of their rods. Whose interval do you expect to be more precise (narrower)?
a. Both confidence intervals would be equally precise.
b. The engineer who weighed the rod 25 times.
c. The engineer who weighed the rod 20 times.
X₁: Length of an eastern rod of the Bay Bridge
n₁= 25
X₂: Length of a western rod of the Bay Bridge
n₂= 20
Both Engineers will use their samples to estimate the population average length of the rods using a 90% CI.
Assuming the standard normal distribution, the confidence interval will be centered in the estimated mean.
X[bar] ± \(Z_{1-\alpha /2}\)*(σ/√n)
And the width is determined by the semi amplitude:
↓d= \(Z_{1-\alpha /2}\)*(σ/√↑n)
As you can see the sample size has an indirect relationship with the semi amplitude of the interval. This means, when the sample size increases, the semi amplitude decreases, and if the sample size decreases, the semi amplitude increases. Naturally this is leaving all other elements of the equation constant, this means, using the same confidence level and the same population standard deviation.
Since the first engineer took the larger sample, he's confidence interval will be narrower and more accurate.
Hope this helps!
At a school of 900 students, 20% have blue eyes. A student randomly selects 100 students and finds 17% of them have blue eyes. A second student takes another random sample of 90 students and finds 24% of them have blue eyes. Which of the following explains why there is a difference between the two percentages?
a. The sample sizes were both too small.
b.The samples were not random samples.
c. Both samples suffered from non-response bias.
d. Random error; the numbers were different due to variability inherent in sampling.
Answer:
d.
Step-by-step explanation:
Given that:
In a school;
Population mean = 900
First student:
Sample size = 100
Sample proportion = 0.17
Second student:
Sample size = 90
Sample proportion = 0.24
The difference between the two percentages is a result of the random error because numbers were not the same as a result of variability inherent in sampling.
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
x^4+2x^3-12x^2+14x-5 > 0
The value of x is (-∞, -5) ∪ (1, ∞).
Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),
Solving for x,
Factors =
\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)
Therefore,
\(\left(x-1\right)^3\left(x+5\right) > 0\)
\(x < -5\quad \mathrm{or}\quad \:x > 1\)
Hence the value of x is (-∞, -5) ∪ (1, ∞).
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round 1456 to nearest 10
Answer:
1460
Step-by-step explanation:
rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡
Answer:
1460
Step-by-step explanation:
Original number is 1 4 5 6
To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it
The digit in the tens place is 5
If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0
So 5 rounds up to 6
The 6 to the immediate right(units place becomes 0)
1 4 5 6 rounded to nearest ten==> 1 4 6 0
simplyfy 0.064/0.84 and leave the answer in standard form
Answer:
0.07619047619.
Answer:7.619 x 10 -2
Step-by-step explanation
Standard form :)
If = and x > 0 what is the value of x ?
O valor de x é 45º
Explicação:Confia no pai
2) Solve for m: 2.6m = 8.06
Answer: m = 3.1
Step-by-step explanation:
To solve for m you must divide 2.6m by 2.6m. Therefore, you must do the same on the other side of the equation.
2.6m/2.6m = 8.06/2.6m
m= 3.1
\(m=3.1.\)
Step-by-step explanation:1. Write the equation.\(2.6m = 8.06\)
2. Divide by 2.6 in both sides of the equation.\(\frac{2.6}{2.6} m=\frac{8.06}{2.6}\\ \\(1)m=\frac{8.06}{2.6}\\ \\m=\frac{8.06}{2.6}\)
3. Simplify the fraction.\(m=\frac{8.06}{2.6}\\ \\m=3.1\)
4 Verify the answer by substituting the calculated value by x in the original equation.\(2.6(3.1) = 8.06\\8.06=8.06\)
That's correct!
5. Express the final result.\(m=3.1.\)
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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