Answer: 13.8
Step-by-step explanation: Since they lost 5.3 yards and then 8 1/2 yards, you simply have to add them together. Rewriting 8 1/2 as 8.5, you can now add 5.3 to 8.5 to get 13.8, which is the answer
Solve the following inequality and graph the solution set. ∣x+3∣+2≥6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is an interval. The solution is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the B. The solution is one or two points. The solution set is (Type an integer or a fraction. Use a comma to separate answers as needed.) C. The solution set is ∅. Graph the solution set. Choose the correct graph below.
The solution to the inequality is an interval: [-7, 1].
The correct option is A.
To solve the inequality |x + 3| + 2 ≥ 6, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: x + 3 ≥ 0
In this case, the absolute value expression becomes x + 3 + 2 ≥ 6, which simplifies to x + 5 ≥ 6. Solving for x, we have x ≥ 1.
Case 2: x + 3 < 0
Here, the absolute value expression becomes -(x + 3) + 2 ≥ 6, which simplifies to -x - 1 ≥ 6. Solving for x, we get -x ≥ 7, and by multiplying by -1 (and reversing the inequality), we have x ≤ -7.
Combining the solutions from both cases, we have -7 ≤ x ≤ 1.
Therefore, the solution to the inequality is an interval: [-7, 1].
To graph the solution set, we plot the points -7 and 1 on the number line and shade the region between them, including the endpoints. This represents all the values of x that satisfy the inequality.
To learn more about inequality;
brainly.com/question/28823603
#SPJ4
if y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Answer:
k = 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 4, then
20 = 4k ( divide both sides by 4 )
5 = k
Answer:
The value of k = 5
Step-by-step explanation:
We know when y varies directly as x, we get the equation
y ∝ x
y = kx
Here 'k' is the 'constant' of proportionality
Given
y = 20, when x = 4so substituting y = 20, x = 4 in the equation y = kx
y = kx
20 = k(4)
k = 20 / 4
k = 5
Therefore, the value of k = 5
Daisy has 14 pairs of gloves. Carla has twice as many pairs of gloves as Daisy. Carla has "twice as four times as many" pairs of gloves as Ellie. How many pairs of gloves does Ellie have?
Answer: 14 x 2 = 24
24 x 4 is 96
Step-by-step explanation:
So if I’m not wrong its 96
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
\(A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2\)
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
\(\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4]\)
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
Learn more about triangular prisms here:
https://brainly.com/question/16909441
#SPJ2
i need help
pls help me
Answer:
c 1234
Step-by-step explanation:
Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recall
that similar means same shape and different sizes. The figures do not need to be
oriented the same way.
Answer: A, D, F
The guy above me is wrong.
he gastado 3/4 partes de mi salario y me quedan $900 pesos ¿cual es mi salario?
Answer:
Tu salario es $3600
Step-by-step explanation:
Porque hoy tienes 1/4 del salario total. Al principio tienes 4 times esa cantidad. Entonces debes multiplicar $900 x 4 = 3600
The times taken by Amal to run three races were 3 minutes 10 seconds, 2 minutes 58.2 seconds and 3 minutes 9.8 seconds. Find the average time taken, giving your answer in minutes.
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
Responses
x = 33 because 180−147=33
x, = 33 because , 180 minus 147 equals 33
x = 62 because 147−85=62 and 85 + 62 = 147
x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct
What is a triangle?In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°
Given that,
A triangle, which has one interior angle 85° and one exterior angle 147°
Another exterior angle x = ?
It is already known that,
Sum of complementary angles are 180
So,
⇒ Y + 147 = 180
⇒ Y = 180 - 147
⇒ Y = 33
sum of all the interior angles of the triangle is 180°
X + Y + 85 = 180
X = 180 - 85 - 33
X = 62
Hence, the value of x is 62
To know more about triangles check:
https://brainly.com/question/2773823
#SPJ1
Given: right ▲ABC If m < A = 50, m < C = 90, what is the measure of m < B?
a. 20
b. 30
c. 40
d. 50
Given: right ▲ABC Let < A = ᶿ. If c = 6 cm, a = 4 cm , b = 4 cm, what is Sin ᶿ?
a. 2/3
b. 3/4
c. 4/5
d. 5/6
Given: right ▲ABC Let < A = ᶿ. If c = 6 cm, a = 4 cm, b = 4 cm, what is Sin ᶿ?
a. 2/3
b. 3/2
c. 4/5
d. 5/6
The measure of m < B in the first question and Sin ᶿ in the second and third questions will be determined using trigonometric ratios.Therefore, the answer is c) 40.
in Question 1:
- We know that ∠C is a right angle, so its measure is 90 degrees.
- We also know that ∠A is 50 degrees.
- To find the measure of ∠B, we can use the fact that the sum of the angles in a triangle is 180 degrees: ∠A + ∠B + ∠C = 180.
- Substituting the given values, we get: 50 + ∠B + 90 = 180.
- Simplifying, we get: ∠B = 40 degrees.
In Question 2 and 3:
- We are given the values of three sides of a right triangle.
- To find Sin ᶿ, we can use the formula: Sin ᶿ = Opposite/Hypotenuse.
- The opposite side to angle ᶿ is side a in both questions.
- The hypotenuse is side c in both questions.
- Substituting the given values, we get: Sin ᶿ = 4/6 = 2/3 in question 2 and Sin ᶿ = 4/6 = 2/3 in question 3.
Conclusion for each part:
- For question 1, the measure of ∠B is 40 degrees.
- For questions 2 and 3, Sin ᶿ is 2/3.
To know more about trigonometric ratios visit:
brainly.com/question/23130410
#SPJ11
If 75% of a number is 285 and 10% of the same number is 38, find 85% of that number.
Answer:
323
Step-by-step explanation:
Answer:
323 ;)
Step-by-step explanation:
Show that the process X(t):=e t/2
cos(W(t)),0≤t≤T, is a martingale w.r.t. any filtration for Brownian motion and represent it as an Itô process on any time interval [0,T],T>0.
A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).
Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.
As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt
Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.
For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:
E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.
Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:
dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt
where M is a martingale with M(0) = 0.
Thus, X(t) can be represented as an Itô process on [0,T] of the form:
X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds
Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.
To know more about martingale visit:
brainly.com/question/32735198
#SPJ11
Math question please help me i would appreciate it !!!!
Will name brainliest
Answer:
the third one
3.F is the vertex of the pair of congruent angles i. the diagram that's all enjoy:)
a hypothesis test produces a p-value of 1.5%. which of the following are definitely true? check all answers that apply. group of answer choices a hypothesis test with a significance level of 1.5% can reject the null when it is actually true in 1.5% of the times. the test is statistically significant. the null hypothesis is false. we have observed something unusual if the null hypothesis is true. the alternative hypothesis is true.
The correct answers are: The test is statistically significant. We have observed something unusual if the null hypothesis is true. The other statements are not necessarily true on the given p-value of 1.5%.
Based on the information provided, we can determine the following:
The test is statistically significant: A p-value of 1.5% indicates that the observed result is unlikely to have occurred by chance, given the null hypothesis.
We have observed something unusual if the null hypothesis is true: A small p-value suggests that the observed data is unlikely to be a result of random chance, which implies that the data is unusual if the null hypothesis is true.
The null hypothesis is not necessarily false: The p-value alone does not provide direct information about the truth or falsehood of the null hypothesis. It only indicates the level of evidence against the null hypothesis.
The alternative hypothesis is not necessarily true: Similarly, the p-value does not provide evidence for the alternative hypothesis being true. It only indicates the strength of evidence against the null hypothesis.
Learn more about p-value here:
https://brainly.com/question/30461126
#SPJ11
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Anton delivers pizzas for Grizzly's Pizza. In one night, he delivered 56 different orders. He checks each pizza stacked on the top of each
order to make sure that they have not been damaged in the trip. In doing this, he finds that 20 of them are cheese.
What is the best estimate that can be made about the number of cheese pizzas sold at Grizzly's Pizza?
O A. About 20% of all pizzas ordered from Grizzly's Pizza are cheese.
OB. About 36% of all orders from Grizzly's Pizza contain at least one cheese pizza.
O C. About 36% of all pizzas ordered from Grizzly's Pizza are cheese.
O D. About 20% of all orders from Grizzly's Pizza contain at least one cheese pizza.
The corret option is C. About 36% of all pizzas ordered from Grizzly's Pizza are cheese.
How to get the best estimate on the number of cheese pizzas sold?To estimate this percentage we just need to do:
P = 100%(number of cheese pizzas)/(total number)
We know taht there are 56 in total, and 20 of these are cheese, replacing these values in the formula above we will get:
P = 100%*(20/56)
P = 100%*0.36 = 36%
The corret option is C.
Learn more about percentages at:
https://brainly.com/question/843074
#SPJ1
I need help with this question please
Answer:
1) 0+2/2 = 1, 2+(-2)/2 = 2-2/2 = 0 so... midpoint is 1,0
2) 5+1/2 = 3, 6+(-2)/2 = 6-2/2 = 2 so... midpoint is 3,2
The line is slanting ( starting of line is downwards going to the left bottom and the top of the line is facing upwards going to the top right )
HOPE THIS HELPS!!
what is the square root of 163
Step-by-step explanation:
The actual square root value is
12.7671453348...
But we Have taken only significant
figure and it is as 12.76
Jarum loves to count . One day , Mr. Vorters dropped some cubes on Jarum's desk . As might be expected , Jarum began to count the cubes . He reported the following to Mr. Vorters : " When I count the cubes by two , I have one left over , when I count the cubes by three have one left over , when I count the cubes by four , I have one left over , and when I count the cubes by seven , I have none left over . There are less than 200 cubes . " From this information , can Mr. Vorters determine how many cubes Jarum has ? If so determine the mumber If not , explain why .
Answer:
48
Step-by-step explanation:
not related to ur question at all but like
thoma pfp
a) A circular channel section has diameter of 6m and it is running half. Calculate the discharge through the channel if the bed slope is 1 in 600 and manning’s co efficient is equal to 0.014.
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:
Q = (1/n) * A * R^(2/3) * S^(1/2)
where:
Q is the discharge (flow rate)
n is Manning's coefficient (0.014 in this case)
A is the cross-sectional area of the channel
R is the hydraulic radius of the channel
S is the slope of the channel bed
First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:
A = π * r^2 = π * (3m)^2 = 9π m^2
Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:
R = r = 3m
Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:
S = 1/600
Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):
Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)
Using a calculator, the discharge can be evaluated to get the final result.
To learn more about coefficient : brainly.com/question/1594145
#SPJ11
(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²xThe figure above shows the graphs of the circles x^2 + y^2 = 2. What is the radius of the larger circle?
a) √2 b) 2 c) √4 d) 4
The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.
However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.
Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.
To know more about Equation click here.
brainly.com/question/29657983
#SPJ11
The value of the test statistic is compared with a(n) _______________ in order to decide whether the null hypothesis can be rejected.
α
p-value
β
critical value
The answer is Critical value.
Lets try to answer this :
A critical value is a value used to determine whether or not to reject a null hypothesis when testing a hypothesis. A critical value is also referred to as a cut-off point or rejection region. A critical value is a point on a scale that separates the rejection area from the acceptance area in a statistical hypothesis test.
A t-test is a statistical hypothesis test that involves comparing the mean of two populations. A t-table is used to look up critical values for a t-test. When the t-value is computed, it can be compared to the critical value to determine whether or not to reject the null hypothesis.
Learn more about critical value in t test : https://brainly.com/question/15970126
#SPJ11
Given: AD ≅ BC and ∠D ≅ ∠C.
Prove: AE ≅ BE.
The solution is: Proved that AE ≅ BE.
Here, we have,
from the given figure we get,
Given: AD ≅ BC and ∠D ≅ ∠C.
now, we have to Prove: AE ≅ BE.
so, we have,
triangle ADB and triangle ABC have:
1.) AD ≅ BC [given]
2.) ∠D ≅ ∠C [given]
3.) AB = BA [ common side]
so, we get,
triangle ADB and triangle ABC are similar by SAS rule
so, we have,
AC ≅ BD
as, AC and BD intersect at E
so, we get,
AE ≅ BE
Hence, Proved that AE ≅ BE.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ1
Jeans are on sale at the local department store for 25% off. If the jeans are originally cost $51, find the sale price. Round to two decimal places.
Answer:
$38.25
Step-by-step explanation:
10%= 5.1
5%= 2.55
5.1 + 5.1 + 2.55 = 12.75
51.00
-12.75
38.25
what is the answers?
The missing percentages are fractions are i) 4/10, 40% ii) 7/10 and iii) 90%
What is percentage?Percentage means anything which is measured per hundredth, To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.
One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity percentage.
Percent is from the Latin adverbial phrase per centum, meaning “by the hundred.”
Given is scale, having some missing measure,
Since, the scale is being divided into 10 equal parts, therefore each part is a part of 10 parts.
i) 4th part = 4/10
% = 4/10x100 = 40%
ii) 7th part = 7/10
iii) 9th part
% = 9/10x100 = 90%
Hence, the answers are 4/10, 40%, 7/10 and 90%
For more references on percentage, click;
https://brainly.com/question/29306119
#SPJ1
What are the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 2?
Step-by-step explanation:
y=mx+b
m is the slope
b is the y- intercept
y = 9x -2
slope = 9
y intercept = -2
Answer:
The slope is –2, and the y-intercept is 9
Step-by-step explanation:
Rico is finding 7.5 x 100 find and correct his mistake. Explain how Rico could have known that his answer was incorrect.
Answer:
Wrong
Step-by-step explanation:
Because the answer to that would be 75000 and then you can't move the 0
Kind regards
Tilet
Answer:
Step-by-step explanation:
He divided by 100 instead of multiplied by 100.
He should have moved the decimal point 2 times to the right, not the left.
He could have known the answer was in correct by noting the result should be a lot greater than 7.5:
7.5 * 100 = 750.
I need help with? this question. what is 7(-7)+149-56/2=?
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22
_____, a variation of the bar chart, is useful for tracking progress toward completing a series of events over time.
Gantt chart, a variation of the bar chart, is useful for tracking progress toward completing a series of events over time.
A Gantt chart is a project management tool that displays business activities over time. Gantt charts were created in the early 20th century by Henry Gantt to improve project planning, scheduling, and tracking by describing how work is being done compared to planned work. Today, project managers and team members use only one tool to plan projects, allocate resources, and track progress.
It is a bar chart that shows the status of the project, when each task should occur, and how long each task will take to complete. As the project progresses, graphs are shaded to show which tasks have been completed. Using Project Manager's Gantt chart, we can assign tasks to our partners, schedule them, estimate costs, and track progress in a timely manner. Therefore, a Gantt chart can be used to track the progress of completion events over time..
For more information about Gantt chart, visit :
https://brainly.com/question/31247294
#SPJ4