Answer:
x = -1
Step-by-step explanation:
2x + 3(2) = 4
2x + 6 = 4 Multiply 2 and 3 to get 6.
2x = -2 Subtract 6 from both sides to isolate 2x.
x = -1 Divide both sides by 2 to find x.
Jill had $125 to spend at the mall. She spent 27% of that money on a pair of shoes. Jill spent $___ on the shoes. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:
Answer:
33.75
Step-by-step explanation:
Amount planned to spend = $125
Pairs of shoes = 27% of $125
Amount spent on shoes = 27% of 125
= 27 / 100 × 125
= 0.27 × 125
= 33.75
Jill spent $33.75 on shoes
Answer:
33.75
Step-by-step explanation:
Is this statement true or false?Why?Researchers conducted a study and obtained a p-value of 0.30. Because the p-value is quite high, there is evidence to accept the null hypothesis.
Researchers conducted a study and obtained the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
Hence this statement is false.
When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.
However, a high p-value does not provide evidence to accept the null hypothesis.
Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.
They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.
If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.
This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.
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John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answer:
8.25+50
Step-by-step explanation:
integrate the following
•(x+10)²
Answer:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x + \rm C\)
Step-by-step explanation:
we would like to integrate the following integration:
\( \displaystyle \int (x + 10 {)}^{2} dx\)
to do so simplify the integrand by using algebraic identity which yields:
\( \displaystyle \int {x}^{2} + 20x + 100 dx\)
by sum integration we obtain:
\( \rm\displaystyle \int {x}^{2}dx + \int20x dx+ \int 100 dx\)
remember that,
\( \displaystyle \int cxdx = c \int xdx\)
so,we acquire:
\( \rm\displaystyle \int {x}^{2}dx + 20\int x dx+ \int 100 dx\)
use exponent integration rule which yields:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 20 \frac{ {x}^{2} }{2} + \int 100 dx\)
use constant integration rule which yields:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 20 \frac{ {x}^{2} }{2} + 100 x\)
simplify:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x\)
and we of course have to add the constant of integration:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x + \rm C\)
Answer:
\(\displaystyle \int {(x + 10)^2} \, dx = \frac{(x + 10)^3}{3} + C\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
U-Substitution
Step-by-step explanation:
*Note:
The answer below me is correct, but there is a simpler method to obtain the answer.
Step 1: Define
Identify
\(\displaystyle \int {(x + 10)^2} \, dx\)
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set u: \(\displaystyle u = x + 10\)[u] Differentiate [Basic Power Rule]: \(\displaystyle du = dx\)Step 3: Integrate Pt. 2
[Integral] U-Substitution: \(\displaystyle \int {(x + 10)^2} \, dx = \int {u^2} \, du\)[Integral] Reverse Power Rule: \(\displaystyle \int {(x + 10)^2} \, dx = \frac{u^3}{3} + C\)Back-Substitute: \(\displaystyle \int {(x + 10)^2} \, dx = \frac{(x + 10)^3}{3} + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
6. What are the values of x and w?
he value of x is
to
wo
138°
The value of wis
m
Answer:
x = 29, w = 42----------------------
According to the diagram we have:
1) Angles w and 138° form a linear pair, hence:
w + 138 = 180w = 422) Angles 19°, x and w form a right angle, hence:
19 + x + 42 = 9061 + x = 90x = 29please help me?ok thanks
Answer:
AB corresponds to DE, BC corresponds to EF, and CA corresponds to FD. Hope this helps!! :)
Answer:
Side AB is congruent to Side DE
Side BC is congruent to Side EF
Side CA is congruent to Side FD
Step-by-step explanation:
The triangle is translated
An online music store sells songs on its website. each song is the same price. The cost to purchase 8 songs is $10.
A. Create an equation to represent the relationship between the total cost, c, and the number of songs, s, purchased.
B. At this rate, how many songs can be purchased for $25
Answer:
A. 1.25s = c
B. 20
Step-by-step explanation:
Since each song is the same price, and 8 songs is equal to $10, we can divide 10 by 8 to get 1.25, the price of each song individually. 1.25 multiplied by the number of songs will give us the total cost, and we can condense this into 1.25s = c
To find how many songs can be purchased with $25, simply divide 25 by 1.25, and you'll get 20 songs as your answer.
Which of the following points has coordinates that are 5 horizontal units from point A?
A. left parenthesis 3 comma 2 right parenthesis
B. left parenthesis 3 comma 7 right parenthesis
C. left parenthesis negative 2 comma 7 right parenthesis
D. left parenthesis 5 comma 2 right parenthesis
Answer:
A. left parenthesis 3 comma 2 right parenthesis
Step-by-step explanation:
It's correct 100%
what + 13 1/2 =121 1/2
Whyte Clinic purchases land for $420,000 cash. The clinic assumes $4,500 in property taxes due on the land. The title and attorney fees totaled $3,000. The clinic had the land graded for $6,600. What amount does Whyte Clinic record as the cost for the land
Whyte Clinic records an amount of $ 434100 as the cost for the land.
To purchase a land Whyte Clinic did costs:
Cost of Land is given by = $ 420000
Amount of property taxes due on the land is given by = $ 4500
The total fees for title and attorney is given by = $ 3000
The cost to grade the land is given by = $ 6600
So the total cost for the land recorded by the Whyte Clinic is given by
= $ (420000 + 4500 + 3000 + 6600)
= $ 434100
Hence Whyte Clinic records an amount of $ 434100 as the cost for the land.
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Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute
for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.
Answer:
0.07m + 30 = 59.40
Mr Gonzalez used 420 minutes last month
Step-by-step explanation:
To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.
Then, add 30 to this to represent the monthly fee:
0.07m + 30
Lastly, set this equal to 59.40 because that was his total bill for the month:
0.07m + 30 = 59.40
So, the equation for the situation is 0.07m + 30 = 59.40
Solve for m in the equation:
0.07m + 30 = 59.40
0.07m = 29.40
m = 420
So, Mr Gonzalez used 420 minutes last month.
Answer:59.40
Step-by-step explanation:
Which of the statements below is/are true for the following function? f (x) = x^3 – 7x^2 + 36
Select all that apply.
A f(-14) = 5
В. f(x) = (x – 5) (x^2 – 2x – 10) +4
C. The remainder when f(x) is divided by (x - 5) is - 14.
D. f(5) = -14
E The remainder when f(x) is divided by (x + 14) is 5
Answer:
C
Step-by-step explanation:
the value of x is 5 sub 5 into the formula your ans will be -14
please help lol im confused i dont know why but please help
Answer:
No, but if it was how many studens school like math then yes
in Step-by-step explanation:
IF 168=18 ⋅ x + 12 ⋅ 2x
what does x equal?
WHO EVER ANSWERS CORRECTLY FIRSRT GETS BRAINLIEST
The town’s highway department marks a new road with reflective markers. The road is 6 3/4
miles
in length. The markers are spaced every 1/8
of a mile. How many markers are installed?
Answer:
Total length of the road = 6 3/4 miles.
Each markers are spaced at a distance = 1/8 of a mile.
Step-by-step explanation:
Total length of the road ÷ each marker space =
a) 6 3/4 ÷ 1/8.
b) In order to solve it, we need to convert that fraction into improper fraction:
6 3/4 = 27/4
6 3/4 ÷ 1/8 = 27/4 ÷ 1/8
We need to convert division sign into multiplication sign and flip the second fraction.
27/4 × 8/1
then simplify to get
27 × 2 = 54.
There would be total number of 54 markers of lengths (1/8) of a mile.
Given that the econd term of a equence i 8 and the fourth term i 2, Franci wrote the explicit rule an = 4 · ( 1 4 )n − 1 for the equence. Complete the explanation of hi error
Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.
Explicit Formula Error CorrectionTo determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:
an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1
But the second term of the sequence is 8, not 1. So the formula is incorrect.
Similarly, for the fourth term, n = 4, so using Francis' formula:
an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16
But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.
Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.
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Are these two shapes congruent? If so please explain
No, they are not congruent.
Because congruent shapes have the same size and shape.I hope this helps you.
Answer:
NO
Step-by-step explanation:
64/12=5.333333
18x5.333333=95.999994
95.999994 is not 98
Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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order from least to greatest 1/3, 5/12/, 1/6, 0.25
answer:
1/6, 0.25, 1/3, 5/12
step-by-step explanation:
whenever i have to order fractions least to greatest, i put them in decimal form. so 1/3 into a decimal would be 0.3333333; 5/12 into a decimal would be 0.4166666; 1/6 would be 0.1666666; and 0.25 is already a decimal. so it'd be 1/6, 0.25, 1/3, 5/12
For the system of equations shown, what is the value of x+y? 3x+y=−6−3x−4y=−12
Answer:
x + y = -12 + 30 = 18
Step-by-step explanation:
To solve this system of equations, we can use the elimination method. Multiplying the first equation by 3, we get:
9x + 3y = -18
Adding this to the second equation, we eliminate the x terms:
9x + 3y = -18
-3x - 4y = -12
-----------------
-y = -30
Solving for y, we get y = 30. Substituting this back into either equation, we can solve for x:
3x + 30 = -6
3x = -36
x = -12
Therefore, x + y = -12 + 30 = 18.
∠
A
and
∠
B
are complementary angles. The measure of
∠
A
is twice the measure of
∠
B
.
Write and equation to represent the complementary angle relationship between
∠
A
and
∠
B
. Use the equation to find the measure of
∠
A
and
∠
B
The measure of ∠A is twice the measure of ∠B, which means ∠A = 2∠B. By substituting the value of ∠A in the first equation and solving it, we get the value of ∠B as 30°. By substituting the value of ∠B in the second equation, we get the value of ∠A as 60°. The complementary angles are those that when summed up, equal to 90°.
Here, given that ∠A and ∠B are complementary angles.
That is ∠A + ∠B = 90°
Given that the measure of ∠A is twice the measure of ∠B.
So,
∠A = 2∠B
Substituting the value of ∠A in the first equation we get,
2∠B + ∠B = 90°
3∠B = 90°
∠B = 30°
So,
∠A = 2(30°)
∠A = 60°
So, the complementary angle relationship between ∠A and ∠B can be represented by the equation ∠A + ∠B = 90°. The measure of ∠A is twice the measure of ∠B, which means ∠A = 2∠B. By substituting the value of ∠A in the first equation and solving it, we get the value of ∠B as 30°. By substituting the value of ∠B in the second equation, we get the value of ∠A as 60°.
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Suppose F is a vector field on the unit ball such that div f=3. What is the flux of f through the unit sphere, oriented outward?
The flux of the vector field \(\( \mathbf{F} \)\) through the unit sphere, oriented outward, is \(\( 4\pi \)\). \(\[\text{{Flux}} =4\pi\]\)
To find the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, we can apply the Divergence Theorem.
The Divergence Theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface.
Let's denote the unit ball as \(\(B\)\) and the unit sphere as \(\(S\)\). The outward-oriented normal vector on \(S\) is denoted as \(\(\mathbf{n}\)\). The Divergence Theorem then gives us:
\(\[\text{{Flux}} = \iint_S \mathbf{F} \cdot \mathbf{n} \, dS = \iiint_B \text{div}(\mathbf{F}) \, dV\]\)
Since the divergence of \(\(\mathbf{F}\)\) is given as \(\(\text{div}(\mathbf{F}) = 3\)\), we can rewrite the above equation as:
\(\[\text{{Flux}} = \iiint_B 3 \, dV\]\)
The integral on the right-hand side represents the volume of the unit ball, which is \(\(\frac{4}{3}\pi\)\). Thus, we have:\(\[\text{{Flux}} = 3 \cdot \frac{4}{3}\pi = 4\pi\]\)
Therefore, the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, is \(\(4\pi\).\)
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x - 3y = 12
help me please
Answer: Hello!
Add 3y to both sides of the equation. x=12+3y
Step-by-step explanation:
Mark me brainest please. Hope I helped! Hope you make an 100%
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four mutually exclusive events a;b;c;d each have a probability of 0:25. what is the probability that two or more of them will occur?
The probability that two or more of the events will occur is 0.683594.
The probability that two or more of the events will occur is equal to 1 minus the probability that none of the events will occur. Since the probability of each event occurring is 0.25, the probability that none of the events will occur is (1 - 0.25) * (1 - 0.25) * (1 - 0.25) * (1 - 0.25) = 0.316406. Therefore, the probability that two or more of the events will occur is 1 - 0.316406 = 0.683594.
Alternatively, you can find the probability that two or more of the events will occur by adding up the probabilities of each of the ways that two or more of the events can occur.
There are four ways that two events can occur (for example, event A and event B), six ways that three events can occur (for example, event A, event B, and event C), and four ways that all four events can occur.
Thus, the probability that two or more of the events will occur is (4 * 0.25 * 0.25) + (6 * 0.25 * 0.25 * 0.25) + (4 * 0.25 * 0.25 * 0.25 * 0.25) = 0.683594, which is the same result as before.
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proportional linear relationships can be represented in how many different forms
Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.What is a proportional linear relationship?From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.
Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.
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What condition ensures that the bisection method will find a zero of a continuous nonlinear function f in the interval [a, b]? List one advantage and one disadvantage of the secant method compared with New- ton's method for solving a nonlinear equation in one variable. What is the basic difference between an explicit and an implict method for solving IVPs numerically? List at least one advantange for each type.
Answer:
I zont know i need points
Step-by-step explanation:
Yea im srry
calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles
The number of waffles can be made from 15 eggs are, 20 waffles.
the waffles can be calculates as follows
4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles
we need 6 eggs to make 8 waffles
So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles
Hence, the number of waffles can be made from 15 eggs are 20 waffles.
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How can I substitute this equation using a substitution method for b) y = 2x + 5
y = -3x - 10
Answer:
y = 2x + 5
y = -3x - 10= -23
Step-by-step explanation:
y = 2x + 5
y = -3x - 10 = -23
=====================================================
Explanation:
y = 2x+5 .... start with the first equation
-3x-10 = 2x+5 .... replace y with -3x-10 since y = -3x-10
The term "substitution" is the same as "replacement". Think of how the substitute teacher is a temporary replacement for your actual teacher.
Now we solve for x. Get all the x terms to one side and the non x terms to the other side
-3x-10 = 2x+5
-10-5 = 2x+3x
-15 = 5x
5x = -15
Next we divide both sides by 5 to isolate x
5x/5 = -15/5
x = -3
Now that we have the value of x, we can use this to find y. Pick any of the two equations to plug in this x value
y = 2x+5 = 2*(-3)+5 = -6+5 = -1
or
y = -3x-10 = -3(-3)-10 = 9-10 = -1
Either way, x = -3 leads to y = -1.
The fact we get the same y value helps us confirm we have the correct x value.
The solution to the system is (x,y) = (-3, -1)
This linear system is considered consistent and independent.
If you graph y = 2x+5 and y = -3x-10, you will find that the two lines intersect at (-3, -1) as the diagram shows below.
Mrs. Wheeler went to Disney World after saving $1,200. She spent $509.00 for a 5 day ticket. Then, she spent $34.99 for Mickey ears, $72 for a Minnie backpack, and $350 in food over the 5 days. How much does she have left?
Answer:
234.01
Step-by-step explanation:
add all those together then subtract for total
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Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls.
The required inequality to represent the above data regarding Valentina is x > 3.
How to illustrate the inequality?Valentina uses more than 36 ounces of dough 12 cinnamon rolls made by Valentina of weight ounces of dough represented by x ,then required inequality is given by 12x > 36.
Number of cinnamon rolls made by Valentina = 12
Weight of all 12 cinnamon rolls are equal
x represents the ounces of dough used by Valentina to make cinnamon roll.
Ounces of dough used by Valentina is more than 36.
Required inequality to represent the above data is given by:
12x > 36
Divide by 12 form both the sides we get,
12x /12 > 36/12
x > 3
The inequality is x > 3.
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Complete question
Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls. Let x represent how many ounces of dough Valentina uses for each cinnamon roll. Which inequality describes the problem?