The value of h(x) = 0 gives x=5.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the b. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -x + 5
So, for h(x)= 0 we have
-x + 5= 0
now, solving for x
-x = -5
x= 5
Thus, the value of x is 5.
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Can someone help me with this. Under lines are: ║ p and q. The statement is: ∠1 and ∠3 are vertical to ∠s. The reasons are: given, vertical angels theorem, transitive property, and def. of vertical ∠s.
The proof for the the lines p and q are parallel is given below.
What are Alternate Exterior Angles?Alternate exterior angles are the angles formed on the two opposite sides of the transversal which are on the outer side of the parallel lines.
Given that,
∠1 ≅ ∠2 or ∠2 ≅ ∠1.
Now ∠1 ≅ ∠3, by the vertical angles theorem.
(By the vertical angles theorem, vertical angles formed by two intersecting lines are congruent).
Then ∠2 ≅ ∠3, by the transitive property.
(Transitive property states that, if a = b and b = c, then a = c)
By the corresponding angles converse postulate, two lines p and q are parallel.
(If the corresponding angles of two lines cut by a transversal are equal, the lines are parallel).
Hence it is proved.
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How to solve
2x*2 +5x+3/X*2+x-2
On solving the provided question, we can say that the question we have here is [tex]2x\times2 +5x+\frac{3}{X}\times 2-2[/tex], by bodmas [tex]\frac{9x^{3} + 6 - 2x}{x}[/tex]
Describe bodmas.The acronym BODMAS helps children remember the order of mathematical operations (the correct order for solving math problems). The words B Bracket, O Degree (Power/Exponent or Root), D Division, M Multiplication, A Addition, and S Subtraction make up the acronym BODMAS.
In some places, BODMAS is also referred to as PEDMAS.
Exponents, division, multiplication, addition, and subtraction are represented by this. It serves as a parentheses as well. Parentheses must be handled first, then powers or roots (i.e., of), divisions, multiplications, additions, and finally subtractions, according to the BODMAS rule.
In India and the UK, he is referred to as BODMAS, but in the US, he is more commonly called PEMDAS. They are, nonetheless, exact replicas of one another.
the question we have here is
[tex]2x\times2 +5x+\frac{3}{X}\times 2-2[/tex]
by BODMAS
Firstly, division them multiplication,
⇒ [tex]4x + 5x + \frac{6}{x} - 2[/tex]
Now we will add the addends,
⇒ [tex]9x^{2} + \frac{6}{x} - 2[/tex]
⇒ [tex]\frac{9x^{3} + 6 - 2x}{x}[/tex]
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The ratio between the areas of equilateral triangles $\triangle BXY$ and $\triangle BAC$ is $1:4.$ If $AC=6,$ what is $XY?$
Answer: b y c a x b is the answer
:
evaluate 4a - 2b +c over 2 abc when a=5 b=-2 and c=1
Answer:
0.85
Step-by-step explanation:
4a-2b+c/2abc
where a=5,b=2,c=1
4(5)-2(2)+1/2×5×2×1
20-4+1/20
17/20
0.86
What is 1.047x 5-0.88
A theater owner is looking to maximize his profits and needs to increase his ticket
prices. The function P(t) = -50t2 + 100t + 14,400 represents his total profit, P, based on
the amount, in dollars, he raises the ticket price, t.
The ticket price that would maximize the profit is $1 and the maximum profit would be $14,450.
How did we get the values?To maximize the profit, we need to find the maximum value of the function P(t) = -50t^2 + 100t + 14,400.
The maximum value can be found by finding the vertex of the parabolic equation. The vertex can be found using the formula:
t = -b / 2a
where a, b, and c are the coefficients of the equation in the form of y = ax^2 + bx + c. In this case, a = -50, b = 100, and c = 14,400.
Substituting the values into the formula, we get:
t = -b / 2a = 100 / (-2 * -50) = 100 / 100 = 1
So, the ticket price that would maximize the profit is $1. To find the maximum profit, we can plug in t = 1 into the function:
P(1) = -50 * 1^2 + 100 * 1 + 14,400 = -50 + 100 + 14,400 = 14,450
So the maximum profit would be $14,450.
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Carnival ride tickets cost $5 each. Let C(n) = 5n be the amount of money you spend on n tickets. What is the domain of this function?
The domain of the function is composed by all the integer numbers that are greater than or equal to zero.
What is the domain of the function?The domain of a function is the set containing all the possible input values that the function can accept.
For this problem, the input is the number of tickets purchased, which must be a countable amount (you cannot purchase a negative number of tickets nor a decimal number of tickets), hence the domain of the function is composed by all the integer numbers that are greater than or equal to zero.
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A and B are two similar 2D shapes. The area of shape A is 200cm^2. Calculate the area of shape B.
The area of shape B which is of 15 cm, is 312.5 cm²
Let us assume that the area of the shape B is x square units.
The dimensions of shape A is 12 cm
The area of the shape A is 200 cm²
The dimensions of shape B is 15 cm
The area of the shape B is x cm²
Since A and B are two similar 2D shapes their dimensions must be in proportion.
So, we get an equation,
A² / B² = 200 / x
12² / 15² = 200 / x
144 / 225 = 200 / x
x = 312.5 cm²
Therefore, the area of shape B is 312.5 cm²
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The complete question is:
A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.
Kristi has a circular pool her house. The radius of the swimming pool is 22.5 Find the area and circumference of the pool.
Answer:
circumference: 141.4
Step-by-step explanation:
formula for circumference: 2πr
2 x π x 22.5
= 141.37
The area and circumference of the pool is 1590.43 square units and 141.37 units.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We are given that;
Radius= 22.5
Now,
we can plug it into the formulas and get:
A=π(22.5)2
≈1590.43
C=2π(22.5)
≈141.37
Therefore, by circumference the answer will be 1590.43 square units and 141.37 units.
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what is the minimal number such that any 3-by-3 matrix with of its entries equal to zero is non-invertible
Any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible.
The minimal number such that any 3-by-3 matrix with of its entries equal to zero is non-invertible is 3. This can be calculated by finding the determinant of the matrix. The determinant is the sum of the products of the entries in the matrix, each multiplied by its corresponding minor. If a 3-by-3 matrix has 3 of its entries equal to zero, the determinant will be equal to 0, which means the matrix is non-invertible. To calculate the determinant of a 3-by-3 matrix, use the formula.
Where a, b, c, d, e, f, g, h, i are the entries of the matrix. If any 3 of those entries are equal to 0, the any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible determinate will be 0, meaning the matrix is non-invertible.
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Joshua walked on a treadmill for 1/3 of an hour. How many seconds is this?
Answer:
20
Step-by-step explanation:
1 hour is 60 minutes 1/3x60=20
Answer:
1200 seconds
Step-by-step explanation:
1/3 of an hour is 20 minutes. There are 60 seconds in a minute. 60 times 20 = 1200.
It takes Jacob 30 minutes to ride his bike to school at 6 mph. Following the same route, how long would it take him to walk to school at 1.5 mph. (d = st)
The time it would take him to walk to the school at 1.5 mph is given as follows:
2 hours.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The parameters for this problem are given as follows:
v = 6, t = 0.5 hours.
Hence the distance is of:
d = vt
d = 6 x 0.5
d = 3 miles.
At a velocity of 1.5 miles per hour, the time would be given as follows:
1.5 = 3/t
1.5t = 3
t = 2 hours.
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33) a ten year old is having his birthday party at the roller rink. Explain two different counts that his parents will estimate for the party. One should be an over-estimate and the other can be an under-estimate.
34) an airline pilot is planning a fight from new York’s LaGuardia airport to Boston, mass. Explain two measurements the pilot must not estimate in order to plan a safe flight
35) a construction work needs to build a concrete wall to support a prefabricated ramp that will be used as a handicap access to the public library. (A) explain why this would not be a place to estimate measurements. (B) describe where some estimates might be adequate for the plan
Measurements are important for a safe and secure structure, as they must adhere to local building codes and regulations. Preliminary planning can be used to estimate the height, width, and length of the ramp and the amount of concrete and other materials needed.
What is a measurement?A measurement is a measurable quantity that includes length, breadth, height, area, volume, weight, or time. Measurements are used to measure an object's or area's size, shape, or qualities.
A) Estimating measurements for a construction project such as this is not advisable, as accuracy is essential for ensuring the wall is stable and safe for use. Calculations must be precise in order to ensure the dimensions, material strength, and angles are correct, which is why it is important to use exact measurements in the plans.
B) In some cases, estimates may be acceptable. For example, the approximate number of blocks or pieces of material needed may be estimated based on the overall size and shape of the wall. Additionally, estimates of the time needed to complete the project may be made based on the experience of the construction team and the complexity of the project.
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1 3/8 divided by 1 4/9
Answer:
99/104
Step-by-step explanation:
1 3/8 divided by 1 4/9
1 3/8 = 11/8
1 4/9 = 13/9
11/8 divided by 13/9
= 11/8 times 9/13
= 99/104
Please solve for a and b:
Answer:
42=7
15=0.6
Step-by-step explanation:
Do any whole numbers have a cube root between 0 and 1? Explain your reasoning
No, there are no whole numbers with a cube root between 0 and 1. A cube root of a number is a value that, when multiplied by itself three times, gives the original number.
The cube root of a number is a value that, when multiplied by itself three times, gives the original number. The cube root of a positive number is always positive. If a positive number is between 0 and 1, then its cube will be even smaller.
For example, the cube root of 8 is 2, and the cube root of 27 is 3. If we take the cube root of a number less than 1, such as 0.5, the result is less than 1. However, since we are talking about whole numbers, 0.5 is not a whole number and therefore not in the scope of the question.
Therefore, it can be concluded that there are no whole numbers with a cube root between 0 and 1 because any positive whole number raised to the power of 1/3 will result in a value greater than 1.
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Which of the following will form the composite functions G(F(x)) shown below
The answer is Option B (F(x) = x + 1 and G(x) = √3x).
Which of the following will form the composite functions G(F(x)) ?The composite function G(F(x)) means we first apply the function F(x) to x and then apply the function G(x) to the result. So, we need to find F(x) and G(x) such that:We can use substitution method to verify that F(x) = x + 1 and G(x) = √3x forms the composite function G(F(x)) = √3(x + 1).Let's start by applying F(x) to x:F(x) = x + 1Next, we apply G(x) to the result of F(x):G(F(x)) = G(x + 1) = √3(x + 1)Since the above result matches with the given composite function G(F(x)) = √3(x + 1), we can conclude that F(x) = x + 1 and G(x) = √3x forms the composite function G(F(x)) = √3(x + 1).G(F(x)) = G(x + 1) = √3(x + 1)So, F(x) = x + 1 and G(x) = √3x.To learn more about composite function refer:
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can you Identify the initial amount a and the growth factor b in the exponential function g(x) = 14 × 2x ?
The initial amount, a, in the exponential function g(x) = 14 × 2x is 14, and the growth factor, b, is 2.
This can be determined by looking at the equation and noting that the coefficient of x is 2, which indicates that the base of the exponential is 2. We can also calculate the initial amount and growth factor mathematically.
To calculate the initial amount, a, we can take the equation g(x) = 14 × 2x and set x = 0, yielding g(0) = 14 × 20, which simplifies to 14. To calculate the growth factor, b, we can take the natural log of both sides of the equation to yield ln(g(x)) = ln(14 × 2x).
Simplifying this gives
ln(g(x)) = ln(14) + ln(2x).
We can then divide both sides by x to yield
ln(g(x))/x = ln(14) + ln(2)/x.
We can then take the limit as x approaches 0, which yields
ln(g(0))/0 = ln(14) + ln(2)/0.
This simplifies to
ln(g(0)) = ln(14) + ln(2), which can be rearranged to
ln(2) = ln(g(0)) - ln(14).
Taking the exponential of both sides gives us
2 = e^(ln(g(0)) - ln(14)), which simplifies to
2 = g(0)/14, or b = g(0)/14 = 2.
This shows that the initial amount, a, is 14, and the growth factor, b, is 2.
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Wildlife conservationists want to estimate the deer population in a region. They place an identifying tag on 220 deer. Several months later, researchers investigate 8 samples of 50 deer and record how many have a tag. Based on these results, how many deer should they estimate live in the region?
The number of deer that should be estimated live in the region is:
50.
To estimate the deer population, the method of capture-recapture is commonly used.
This method involves counting the number of tagged animals (in this case 220) and then counting the number of tagged animals in a subsequent sample (in this case 8 samples of 50 deer each).
By comparing the number of tagged deer in the sample to the total number of tagged deer, we can estimate the total population.
Let N be the total population of deer. The estimated population size can be calculated using the formula:
N = (220 * 50) / (the number of tagged deer in the sample)In this case, the number of tagged deer in the sample is 220. So, the estimated population size is:
N = (220 * 50) / 220 = 50Therefore, it is estimated that there are 50 deer living in the region.
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6x-3 + 2x-1 = 10x -18
find X and AC
Answer:
#7: x = 7
#8: AC = 52
Step-by-step explanation:
We know that part + part = whole.
Thus, AB + BC = AC
Using this fact, we can solve for x:
[tex]6x-3+2x-1=10x-18\\8x-4=10x-18\\8x=10x-14\\-2x=-14\\x=7[/tex]
We can simply plug in x in 10x-18 to find the length of AC:
[tex]10(7)-18=AC\\70-18=AC\\52=AC[/tex]
You can also check that AB + BC = AC by plugging in x for 6x -3 and 2x -1 and finding the sum of the two parts of the line:
[tex]6(7)-3+2(7)-1=52\\42-3+14-1=52\\39+13=52\\52=52[/tex]
if deja is to perform an appropriate t-test to determine if there is a mean difference between the number of abrasions per leaf produced by the two strains, how many degrees of freedom should she use?
The number of degrees of freedom in a t-test is calculated as the sample size -2.
In this case, if Deja is performing a t-test to determine if there is a mean difference between the number of abrasions per leaf produced by the two strains, she needs to have the sample size of both strains.
Assuming she has n1 and n2 samples for each of the two strains, the degrees of freedom can be calculated as:
df = n1 + n2 - 2
The degrees of freedom represent the number of independent pieces of information in the sample data that are used to estimate the population parameters. The t-test statistic is then compared to a t-distribution with the calculated degrees of freedom to determine the significance of the results.
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If f(x)=5x+12, what is f(2)
Answer:
To find f(2), we simply substitute 2 for x in the function f(x)=5x+12 and simplify:
f(2) = 5(2) + 12
= 10 + 12
= 22
Therefore, f(2) = 22.
Step-by-step explanation:
Caroline's gross earnings are $1, 126 for the current pay period. Find the state disability insurance (SDI) amount deducted from
her paycheck based on a rate of 1%of her gross earnings. Caroline has not earned $31, 800 this year.
$11.26
$13.98
$10.59
$12.52
Answer:
A) 11.26
Step-by-step explanation:
To find the state disability insurance (SDI) amount deducted from Caroline's paycheck, we need to calculate 1% of her gross earnings.
1% of $1,126 is (1/100) x $1,126 = $11.26
So, the SDI amount deducted from Caroline's paycheck would be $11.26.
Divide a restaurant bill of $204 evenly among six people
Answer: $34
Step-by-step explanation:
204 divided by 6 = 34
una caja de refrescos cuesta 104.40 y esta contiene 24 refrescos ¿m cual es el costo de cada refresco?
El precio de cada refresco es de 4.35$
⭐Explicación paso a paso:
En este caso lo que hay que hacer es el precio unitario de cada refresco.
El precio unitario se obtiene al dividir el total de dinero entre la cantidad de refrescos que trae cada caja:
Precio de cada refresco = Precio total/Cantidad de refrescos
Precio de cada refresco = 104.40$/24
Precio de cada refresco = 4.35$ Por lo tanto, el precio de cada refresco es de 4.35$
40 points!!!!! PLease HELP!!!!!!
last week we calculated the standard deviation by hand, and then used that to find the standard error. can we find the standard error now?
Yes, you can find the standard error now by taking the standard deviation divided by the square root of the sample size.
The standard deviation in a data set is the mean deviation of the data from their mean.
For sample size n for a data set with data points X1, X2, X3……..Xn for exact standard deviation:
1. Calculates the arithmetic mean M of the set data by adding them all and dividing by n.
M = ( X1+X2+ X3+…..+Xn) / n
2. Calculate the deviation (D) for each data point from the mean M
D = (Xi-M) for all
3. Squaring and sum of all deviations, sum of squares (SS)
4. Divide SS by n.This quantity is the sample variance V
5. Take the square root of V.
6. This quantity is the sample standard deviation, SD.
There are some specific terms and issues to consider. If you are estimating the standard deviation of a population from a sample and the population mean $ is not known, M serves as an unbiased estimate of $. Again, SS is divided by (n-1), not n.
The resulting standard deviation is an unbiased estimate of the population standard deviation based on the sample size, n. If the population mean is known, use that mean instead of the sample mean. , and the SD of the sample is only calculated for n through SS dives.
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Cassandra is hanging crystal stars from the gym ceiling using string for the homecoming dance. She wants the ends of the strings where the stars will be attached to be 7 feet from the floor. Use the diagram to determine how long she should make the strings
12/5 yards is the length she should use to make the string.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Cassandra is hanging crystal stars from the gym ceiling using string for the homecoming dance
She wants the ends of the strings where the stars will be attached to be 7 feet from the floor.
BD is perpendicular to AC.
∠BDA+∠2+∠3=180
∠2+∠3=90 degrees.
∠1=∠3 (the equivalent substitution)
ΔABD=ΔBCD
AD/BD=BD/DC
(Similar triangles have sides that are proportional)
AD.DC=BD²
PC⊥AC
∠ACP=90 degrees.
∠ACM+∠MAC+∠∠CAM=180
∠ACM=∠APC
Therefore ΔAMC~ΔPCA
CM/CD=AC/AD
CM=12/5 yards
Hence, 12/5 yards is the length she should use to make the string.
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Answer: 18
Step-by-step explanation:
First, find x for x-2. So you would use one of the Geometric Mean Theorems using 5 and a height of 10. For this problem, we will use "y" as a placeholder for finding the whole total of that side.
[tex]\frac{5}{10} =\frac{10}{y} \\[/tex] Solve. --> [tex]5y = 100\\[/tex] --> [tex]\frac{5y}{5} =\frac{100}{5} \\[/tex] --> y = 20
Then subtract 20 from 2 to find x. You get 18 as an answer.
The drama club has 72 members. 1/4 of the drama club members are in 5th grade and the rest of the members are in 6th grade. How many drama club members are in 6th grade?
answer choices
72
54
18
3
Answer:
54
Step-by-step explanation:
1/4 of 72 is 18. 72-18=54.
De las 2000 vacunas que llegaron a bolivia para el covid-19 la mitad se usará en vacunar a médicos, la tercera parte se la usará en pacientes con patología de base y la sexta parte lo guardad en refrigeración, ¿cómo representarías eso en forma algebraica? representaremos por x el valor que no conocemos
ayuda
Answer:
pues quien sabe
Step-by-step explanation: