3. a. For what interval(s) is h(x) = 2x + 10 positive?
Answers
Step-by-step explanation:
h(x) is positive when h(x) is greater than 0.
When h(x) = 0, 2x + 10 = 0, x = -5
Since this is a straight line graph and the gradient is positive, the interval is (-5,∞).
The interval is: \(\left(-5,\infty\right)\).
If h(x) is positive then h(x)>0.
\(2x+10>0\\2x>-10\\x>-5\)
So the interval is: \(\left(-5,\infty\right)\).
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Related Questions
Stephanie has 152 in the bank she withdraws $20 then she deposits $84 write an addition expression to represent the situation then find the sum and explain its meaning. IMPORTANT!!! QUICK. TY
Answers
$132 + $84= $216
find the area of the region enclosed by one loop of the curve. r = sin(10θ)
Answers
The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.
We have to find the area of the region enclosed by one loop of the curve.
The given curve is:
r = sin(10θ)
Consider the region r = sin(10θ)
The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is
A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)
Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.
sin(10θ) = 0
sin(10θ) = sin0 or sin(10θ) = sinπ
So θ = 0 or θ = π/10
Hence, the limit of θ is 0 ≤ θ ≤ π/10.
Now the area of the required region is
A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)
A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)
A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)
A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)
A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)
A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)
A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)
A = 1/4[(π/10-0)-(0-0)]
A = 1/4(π/10)
A = π/40
Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.
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Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answers
Answer:
x=5,-5
Step-by-step explanation:
find x if 5x+19=2x+64
Answers
Answer:
x=15
Step-by-step explanation:
5x+19=2x+64
5x-2x=64-19
3x=45
x=15
Answer:
5x+19=2x+64
3x+I9=64
3x=45
I5
Which equation is correctly rewritten to solve for x?
Answers
Answer:
Option (A)
Step-by-step explanation:
Te given equation is,
-qx + p = r
Toe find the value of x,
By subtracting p from both the sides of the equation.
-qx + p - q = r - q
-qx = r - q
By dividing the whole equation by (-q),
\(\frac{-qx}{(-q)}=\frac{r-p}{-q}\)
x = \(-\frac{r-p}{q}\)
x = \(\frac{p-r}{q}\)
Therefore, Option (A) will be the answer.
Answer:
answer aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision:
Answers
Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.
Here is a detailed breakdown of the calculations and assumptions made:
The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).
The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.
The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.
The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).
The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).
The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.
Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.
To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.
Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:
Is he redoing the whole yard or just the front? He's redoing the whole yardHow much topsoil does he need? I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above.How big is the yard? I'm not sure, but you can probably estimate it using the overhead picture.What kind of pickup truck does he drive? A 2003 Ford F-150 XL.How much can the pickup carry? The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. The payload capacity is about 1800 pounds.How much is the delivery charge? $30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards. How much does the topsoil cost? $18 per cubic yard (sold in 1/4 yard increments).How much does the topsoil weigh? Topsoil weighs about 2000 pounds per cubic yard.How far is the soil store? It is 9 miles away. It takes about 20 minutes to drive there.What gas mileage does the pickup truck get? It averages 17 miles to the gallon.What is the current gas cost? Assume it's $3.79/gallon.Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.
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A coin is tossed nine times. Find the probability of getting exactly six heads.
Answers
Answer:
When a coin is tossed 9 times the probability of getting exactly six heads is obtained with the help of Bernoulli trials. The probability of getting exactly six heads is 21/128.
Find the value of x.
Answers
Step-by-step explanation:
Taking 45° as reference angle, we have
Hypotenuse (h)= 5√2Perpendicular(p)= xNow,
Sin 45°=p/h
√2/2=x/5√2
√2×5√2=2×x
5×2=2x
10=2x
x=10/2
x=5
Hence, second option is correct answer.
2.
ers What is 592 rounded to
the nearest 10?
Answers
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
Answers
The pattern on a rug is made up of hexagons, as shown below. What is the value of x?
Answers
840 you just multiply 140 time 6
Answer:
x=80°
Step-by-step explanation:
hexagon has a total of 720 degrees
720-(140×4)=160
160/2= 80
x=80°
An agricultural researcher wishes to see if kelp extract helps prevent frost damage on tomato plants. 100 tomato plants in individual containers are randomly assigned to 2 different groups. plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with kelp extract, while the plants in group 2 are not. after the first frost in the autumn, 12 of the 50 plants in group 1 exhibited damage. 18 of the 50 plants in group 2 showed damage. test the claim to see if there is evidence of a decrease in the proportion of tomatoes suffering frost damage for tomatoes sprayed with kelp extract.
a) state the hypotheses.
b) identify the p-value to the nearest thousandth.
c) state the conclusion in the context of the problem.
Answers
The p-value to the nearest thousandth. p value > 0.05
What is null and alternative hypothesis ?A null hypothesis is a statement, in which there is no relationship between two variables. An alternative hypothesis is statement in which there is some statistical significance between two measured phenomenon.
Group 1 n₁ = 50 , x₁ = 12
Group 2 n₂ = 50 , x₂ = 18
p₁ = x₁/n₁ = 12/50 = 0.24
p₂= x₂/n₂ = 18/50 = 0.36
Testing the null and alternative hypothesis
H₀ = p₁ - p₂= 0
Hₓ = p₁ - p₂ < 0
Level of Significance α =0.05
Test Statistic
\(\rm z = \dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_2} +\dfrac{p_2(1-p_2)}{n_2}}}\)
On substituting the values
z = -0.12/0.9086
z = -1.32
p value = p(z > -1.32)
p value = 0.0934
Therefore p value > 0.05
Hence we fail to reject H₀ at 5 % level of significance .
There is no significant evidence that the decrease in proportion of tomatoes suffering frost damage for tomatoes sprayed with the kelp extract.
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Solve for x in the following proportion?
1.6
722.5
0.4
10
Answers
Answer:
option D. 10
Step-by-step explanation:
\(\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10\)
Answer:
x = 10
Step-by-step explanation:
\( \dfrac{34}{85} = \dfrac{4}{x} \)
Cross multiply.
34x = 4 × 85
34x = 340
Divide both sides by 34.
x = 10
Determine whether the table represents a linear or nonlinear function.
Answers
Answer:
Linear Function
Step-by-step explanation:
A linear function has constant slope
That means the ratio of y differences to x differences must be the same throughout the function. In other words the rate of change of the function y value is the same throughout the function
IF we look at the table we see that as x increases by 1, y decreases by 15
For example at x = 0, y = 20 and at x = 1, y = 5
So change in y/change in x = 0 = (5-20)/(1-0) = -15/1 = -15
If we look at another pair of points, say x = 1, y=5 and x = 2, y = -10
we get the rate of change = (-10 - 5)/(2-1) = -15/1 = -15
This is the same for any two x, y pair of values
So it is a linear function
A simple random sample of 500 elements generates a sample proportion p= 0.81. Provide the 90% confidence interval for the population proportion (to 4 decimals). b.Provide 95% the confidence interval for the population proportion (to 4 decimals).
Answers
a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
To calculate the confidence intervals for the population proportion, we can use the formula:
Confidence Interval = sample proportion ± margin of error
The margin of error can be calculated using the formula:
Margin of Error = critical value * standard error
where the critical value is determined based on the desired confidence level and the standard error is calculated as:
Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)
Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.
a. 90% Confidence Interval:
To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.
Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0323
Confidence Interval = 0.81 ± 0.0323
≈ (0.7777, 0.8423)
Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b. 95% Confidence Interval:
For a 95% confidence level, the critical value is approximately 1.96.
Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0363
Confidence Interval = 0.81 ± 0.0363
≈ (0.7737, 0.8463)
Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
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Someone help me please
Answers
is 120.4 hundredths or ones or tens or hundreds
Answers
Answer:
Not sure what you're asking but 120.4 is
one hundred
two tens
and four tenths
BRAINEST TO THE CORRECT ANSWER (50 points)
Tim incorrectly says that the solution of the system of equations is (-7.-4). What is
the correct solution? What error might Tim have made?
59 - 2h= -6
9=h-49
The solution is ____
(Simplify your answer. Type an ordered pair.)
Answers
Answer:
(-4, -7)
Step-by-step explanation:
Equation 1: 5g - 2h = -6
Equation 2: 9 = h - 4g
Rewrite equation 2 to make h the subject:
9 = h - 4g
⇒ h = 9 + 4g
Substitute h = 9 + 4g into equation 1 and solve for g:
5g - 2(9 + 4g) = -6
⇒ 5g - 18 - 8g = -6
⇒ -3g = 12
⇒ g = -4
Substitute found value for g into either equation and solve for h:
9 = h - 4(-4)
⇒ 9 = h + 16
⇒ h = -7
Therefore, the correct solution is (-4, -7)
Tim has got the values for g and h mixed up.
I guess question is incorrect itself.Assumed solution is provided
59=2h-6k--(1)9k=h-49=>49=h-9k--(2)Multiply 2 with eq(2)
98=2h-18k--(3)Subtract eq(3) from (1)
\(\\ \tt\hookrightarrow -39=12k\)
\(\\ \tt\hookrightarrow k=-39/12=-3.2\)
Put in eq(2)
\(\\ \tt\hookrightarrow 49=h+28.8\implies h=20.2\)
(h,k)=(20,2,-3.2)please help me if you can ( links = report )
Answers
1. The ratio (10^2000+10^2002) : (10^2001+10^2001)is closest to which whole number?
Answers
Answer:
5
Step-by-step explanation:
The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).
It is given that the ratio is,
(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)
We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
\(=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5\)
Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
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Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
Answers
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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2+2=4 got it right took the test.
Answers
Answer:
Good for you
Step-by-step explanation:
10/63 - -6/7 Please can you help me with this LCM Question
Answers
Answer:
1¹/63
Step-by-step explanation:
- × - = +
10/63+6/7
the lcm of 63 and 7 is 63
10+54 = 64
63. 63
1¹/63
A bag contains 7 green marbles,2 white marble s, 5 orange marbles,9 blue marbles, and 7 red marbles. a marble will be drawn from the bag and replaced 180 times what is a reasonable prediction for the number of times a white or red marble will be drawn?
Answers
The reasonable probability that a white or red marble will be drawn all 180 times is; (3/10)¹⁸⁰.
Probability with replacementSince the probability is with replacement;
First, the total number of marbles in the bag is; 7+2+9+5+7 = 30.Hence, the probability that a white or red ball is drawn each time is; 2+7 = 9 possible outcomes.
Hence, it follows that the probability for white or red each time is; 9/30 = 3/10
Hence, when drawn 180 times, the probability is;
P = (3/10)¹⁸⁰.Read more on probability;
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A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 4:5. What is the ratio of the number of flour tortillas to the total number of tortillas?
Answers
Answer:5:9
Step-by-step explanation:
4+5=9. There are 5 Flour tortillas So there for it would be:5:9
(Number of flour tortillas:Total tortillas)
Answer:
5.9
Step-by-step explanation:
1. The popcorn, butter, salt, and serving bags cost $15 for every 100 bags of popcom. What is
the cost per bag for these consumables?
Answers
Answer:6.66
Step-by-step explanation:
the slope of a fairly flat upward-sloping line will be a a. large negative number. b. small negative number. c. small positive number. d. large positive number.
Answers
The slope of a fairly flat upward-sloping line will be a small positive number. (option c)
This is because a slope measures the change in the y value for a given change in the x value. As the line is fairly flat, the change in y value will be small. Since the line is upward-sloping, the change in the y value will be positive. Therefore, the slope of the line will be a small positive number.
To calculate the slope mathematically, we can use the formula
m = (y2-y1)/(x2-x1).This formula gives us the slope of the line between two points (x1, y1) and (x2, y2). In our case, since the line is fairly flat, the difference in y values (y2-y1) will be small, resulting in a small positive number for the slope.
We can also visualize this mathematically. If we graphed the line, it would look like a flat line, because the difference in y values is small. Therefore, the slope of the line will be a small positive number.
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a square of the side lenght of 6cm has the same area as this rectangle . find the perimeter of the rectangle.
plz give full explanation
Answers
Answer:
The perimeter of the rectangle is 26 cm
Step-by-step explanation:
First find the area of the square by multiplying 6 by itself
A = 6 cm * 6 cm = 36 sq cm
Since the rectangle has the same area as the square, we can say that w * 9 = 36 sq cm
w * 9 = 36
Divide both sides by 9 to isolate the variable, w
w * 9 / 9 = 36 / 9
w = 4 cm
The width of the rectangle is 4 cm so now we just use that to find the perimeter of the rectangle
P = 2(9) + 2(4) = 26 cm
Which of the following three data sets is Cross sectional? a. BCAD data and links b. Demographic data c. Code cases
Answers
Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).
Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.
On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.
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How can you find out 2 1/2 and 10/4 name the same amount?
Answers
Answer:
Simplify 10/4
Step-by-step explanation:
10/4 divided by 2/2 = 5/2
5/2 simplified equals 2 1/2
As 2 can go into 5 twice but only have 1 left