Answer:
The function h(x) is decreasing on the interval (3, ∞).
Step-by-step explanation:
Please take a look at the attached image.
You will see a graph of the given function h(x) = -2[tex]\sqrt{x-3}[/tex]. The function is decreasing.
The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).
How many lines can be drawn through points J and K?
Answer:
show the image because we cant answer it if there's no picture or image
Step-by-step explanation:
2.
David swam 800 m in 20 minutes. Find his average speed in m/min.
Answer:
40 meters a minute
Step-by-step explanation:
800m - 20 min
800/20
40m-1 min
Please help
Use the parabola tool to graph the quadratic function f(x)=−2(x+4)^2−3
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Due to length restrictions, we kindly invite to read the explanation of this question and the image of parabola on Cartesian plane attached below to see the results.
How to graph a quadratic function
To graph a parabola, we shall follow the following procedure:
Mark the vertex of the parabola on the Cartesian plane.Mark at least two pairs of values on the Cartesian plane, one on the right of the vertex and other on the left of the vertex.Match the points to create the resulting curves.By following all the steps, we generate the curve with the help of a graphing tool.
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5. A Government of Canada V39065 issue 90-day T-bill achieved its highest rate of return on May
24, 2000, with a yield of 5.74%. It realized its lowest rate of return on February 26, 2010, with
a yield of 0.16%. Calculate the purchase price of a $100,000 T-bill on each of these dates. In
dollars, how much more yield did an investor realize in 2000 than in 2010?
Based on the yields to the Canadian government's T-bills, the purchase price of a $100,000 T-bill on each of these dates are:
May 24, 2000 = $98,565February 26, 2010 = $99,960The yield to the investor in 2010 more than 2000 was $1,395.
What was the price of the T-Bills?On May 24, 2000, the price was:
= 100,000 x ( 1 - 5.74% x 90/360 days)
= $98,565
On February 26, 2010, the price was:
= 100,000 x (1 - 0.16% x 90/360)
= $99,960
The difference in yield is:
= (100,000 - 98,565) - (100,000 - 99,960)
= $1,395
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What expression is equivalent to (9x^2 + 2x -7)(x - 4)
Answer: C
Step-by-step explanation:
We can use the expanding rule to get that one if the expressions is
(9x^2 + 2x - 7)x + (9x^2 + 2x - 7)(-4)
PLSSSSSSSS HELPPPPPP AYUDAAAAAAS
Answer:
(3+3) x (3+1)
Step-by-step explanation:
» (1 + 3) × (3 + 3)
» (4) × (6)
» 24
Here's our answer..!!
PLEASE help with question ASAP ASAP
Answer:
No classification is guaranteed.
graph the solution to the system of inequalities in the coordinate plane 3y>2x+122+y<-5
The graph is shown in the attached image.
You are volunteering to help with the soccer team's Valentine's Day fundraiser. Each 16-ounce bag of nuts the team sold must include at least 60% chocolate-covered nuts inside.
However, instead of receiving a shipment of separated plain nuts and chocolate nuts, they delivered two large containers of mixed nuts. The first says it is 50/50 plain and chocolate covered. The second contains 80% chocolate-covered nuts.
The team is dismayed, but you come up with a solution. You suggest combining
ounces* of the 50/50 nuts with
ounces* of the 80% chocolate-covered nuts, to create the 60% mixture required for each bag.
*estimate
Then Bob, another student on the team says, "Wait, we promised at least 60%. So if we just do half and half, won't we be giving them at least 60%?"
Bob
correct.
We should combining 8 ounces of the 50/50 nuts with 8 ounces of the 80% chocolate-covered nuts, to create the 60% mixture required for each bag.
You are offering to assist with the Valentine's Day fundraiser for the soccer team, according to the query. At least 60% of the 16-ounce bags of nuts that the team sold had to be coated in chocolate.
However, they supplied two sizable containers of mixed nuts instead of a shipment that was divided into plain and chocolate nuts. First, it claims to be equally split between plain and chocolate-covered. The second one has almonds that are 80 percent chocolate-covered.
In order to create the 60% mixture required for each bag, we should combine 8 ounces of the 50/50 nuts with 8 ounces of the 80% chocolate-covered nuts.
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To make the 60 percent mixture needed for each bag, we should combine 8 ounces of the 50/50 nuts with 8 ounces of the 80 percent chocolate-covered nuts.
According to the question, you are willing to help with the Valentine's Day fundraiser for the soccer team. The team had to cover at least 60% of the 16-ounce bags of nuts they sold in chocolate.
Instead of a cargo that was split into plain and chocolate nuts, they instead provided two substantial containers of mixed nuts. First, it asserts that the basic and chocolate-covered portions are split equally. The second one has almonds that have been wrapped in 80 percent chocolate.
We need to combine 8 ounces of the 50/50 nuts with 8 ounces of the 80% chocolate-covered nuts.to make the 60 percent combination needed for each bag.
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A bird flies 50km everyday to collect food for his offspring and 20km to drink water. To fly this distance takes him 1 hour and 40 minutes. What’s his average speed during flight?
Answer:
Step-by-step explanation:
speed = 50 km / hr.
distance = 20 km
time = distance / speed.
time = ( / 50) hr.
speed = 2 km/hrs
Elliot borrows $3,000 from a bank that is charging three percent simple interest per year. If he pays the loan back in six months, how much interest will he pay? $30.00
$45.00
$90.00
$300.00
Answer:
The answer to that question depends
beacuse where ever you are it changes like uk you can pay 100€
or japan it can be around 1000¥
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
Applying the central angle theorem, we have:
a. angle BAC.
b. arc BEC
c. arc BC
d. Measure of arc BEC = 260°
e. Measure of arc BC = 100°
What is the Central Angle Theorem?According to the central angle theorem, the central angle that is suspended at the center of a circle by two line segments (usually radii) have a measure that is equal to the measure of the intercepted arc. That is:
Measure of central angle = measure of intercepted arc.
What is a Major and a Minor Arc?
A major arc have a measure that is greater than 180 degrees or half a circle, while minor arcs have a measure that is less than 180 degrees or half a circle.
a. A central angle in the image given is: angle BAC.
b. One major arc in the given circle is arc BEC (greater than half a half a circle/180 degrees).
c. One minor arc in the given circle is arc BC (less than half a half a circle/180 degrees).
d. m∠BEC = 360 - 100
m∠BEC = 260°
m∠BEC = measure of arc BEC [central angle theorem].
Measure of arc BEC = 260°
e. Measure of arc BC = m∠BAC [central angle theorem].
Measure of arc BC = 100°
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Decreasing the number of years of a loan decreases the amount of interest repaid over the term of the loan. Suppose a dental hygienist has the option of a 30-year loan or a 25-year loan of $345,000 at an annual interest rate of 3.75%.
(a)
a) Calculate the monthly payment (in dollars) for each loan. (Round your answers to the nearest cent.)
30-year loan
25-year loan
b) Calculate the savings in interest (in dollars) by using the 25-year loan. (Round your answer to the nearest cent.)
Answer:
a) 30 yr: $1597.75; 25 yr: $1773.75
b) $43065.00
Step-by-step explanation:
The monthly payment for each loan can be found using the amortization formula, or a spreadsheet or calculator. The shorter 25-year loan has fewer and larger payments, but the net result is less interest paid.
a)The attached calculator shows the monthly payments to be ...
30 year loan: $1597.75 monthly
25 year loan: $1773.75 monthly
b)The number of payments is the product of 12 payments per year and the number of years. The total repaid is the monthly payment times the number of payments.
The difference in amounts repaid is the difference in interest charged.
360×1597.75 -300×1773.75 = $43065 . . . . savings using 25-year loan
__
Additional comment
The monthly payment on a loan of principal P at annual rate r for t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Some calculators and all spreadsheets have built-in functions for calculating this amount.
Scores on a test are normally distributed with a mean of 63 and a standard deviation of 9.3. Find P81, which separates the bottom 81% from the top 19%.
We want to find [tex]x[/tex] such that
[tex]\mathrm{Pr}(X \le x) = 0.81[/tex]
where [tex]X[/tex] is the random variable for test scores, and [tex]X\sim\mathrm{Normal}(63,9.3^2)[/tex].
Transform [tex]X[/tex] to [tex]Z\sim\mathrm{Normal}(0,1)[/tex] using the relation
[tex]X = \mu + \sigma Z \implies Z = \drac{X-63}{9.3}[/tex]
so that
[tex]\mathrm{Pr}(X \le x) = \mathrm{Pr}\left(\dfrac{X-63}{9.3} \le \dfrac{x-63}{9.3}\right) = \mathrm{Pr}\left(Z \le \dfrac{x-63}{9.3}\right) = 0.81[/tex]
Applying the inverse CDF of [tex]Z[/tex] (denoted by [tex]\Phi^{-1}[/tex]), we have
[tex]\dfrac{x-63}{9.3} = \Phi^{-1}(0.81) \approx 0.8779[/tex]
Solve for [tex]x[/tex].
[tex]\dfrac{x-63}{9.3} \approx 0.8779[/tex]
[tex]x-63 \approx 8.1644[/tex]
[tex]x \approx 76.1644[/tex]
Then the cutoff test score for the 81% percentile is [tex]P_{81} \approx \boxed{76}[/tex].
Which choice shows 40 + 30+ 10 rewritten correctly using the commutative property and then simplified correctly?
Answer:
40 + 10 + 30 = 50 + 30 = 80
Step-by-step explanation:
40 + 10 + 30 = 50 + 30 = 80
Answer:
10(4+3+1)
Step-by-step explanation:
Expand 40+30+10 by the distributive property:: 10(4+3+1)
The sum of 2 numbers is 70.4. One number is 19 times the other and the smaller number is less than 5. What are the two numbers?
Answer: [tex]\Large\boxed{3.52~;~66.88}[/tex]
Step-by-step explanation:
Given information
One number is 19 times the other
The smaller number is less than 5
Sum = 70.4
Set variables
Let x be the smaller number
Let 19x be the larger number
Set equation according to the given information
Smaller number + Larger number = Sum
x + 19x = 70.4
Simplify by addition
20x = 70.4
Divide 20 on both sides
20x / 20 = 70.4 / 20
[tex]\Large\boxed{x=3.52}[/tex]
Substitute values into the variables to find the larger number
Larger number = 19x
= 19 (3.52)
[tex]\Large\boxed{=66.88}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
smaller number 3.52
greater number 66.88
Step-by-step explanation:
Let x and y be two numbers ,where x < 5 and x ≤ y.
x + y = 70.4
y = 19x
By replacing y by 19x in the first equation we get :
x + 19x = 70.4
Then
20x = 70.4
Then
x = 70.4÷20
= 3.52
y = 19x
Then
y = 19 × 3.52 (just replace x by 3.52)
= 66.88
se the FOIL method to evaluate the expression: (5+2)(4-5)
The FOIL method is a method of expanding two given brackets by following the required steps. Thus using the FOIL method, the required answer is: -7
Expansion of brackets may be done using different methods, but these methods would give the same answer. Some methods that can be used are the binomial expansion method, FOIL method, etc.
The FOIL method is a shortened form of the steps required for the process. These required steps are First, Outside, Inside, and last.
Thus to expand the given brackets in the question, we have;
(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)
= 20 - 25 + 8 - 10
= 28 - 35
(5+2)(4-5) = -7
Thus using the FOIL method, the answer to the question is -7.
Quick check: (5+2)(4-5) = (7)(-1)
= -7
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72 is 15% of what number?
Answer: 480
Step-by-step explanation:
72/3 is 5% of the number we are looking for.
72/3=24
24*20 will be 100%
480 is 100%
72 is 15% of what number?
Quantity %
72---------------15
x---------------100
We solve
[tex]\boldsymbol{\sf{x=\dfrac{72\times100 }{15}=\dfrac{7200}{15}=480 }}[/tex]
Answer: 72 is 15% of 480.
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please help me. PLEASE HELP ME.IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
a) [tex]\angle QST[/tex]
An inscribed angle has its vertex on the circumference of the circle.b) Arc QT
A minor arc is an arc that measures less than 180 degrees.c) Arc QRS
A semicircle is formed by the arc on either side of a diameter.d) 105 degrees
The measure of a central angle is the same as the measure of the arc it intercepts.e) 255 degrees
The circumference of a circle measures 360 degrees.Grandma is making her grandson french toast. The pan can only fit two pieces of bread at a time. To cook each side of the bread it takes one minute( you have to cook both sides). Grandma made three slices of french toast in three minutes, how was she able to do this
Grandma should be able to make three slices of French toast by slicing one of the original slices into two.
How can grandma make three slices of French toast?Put two slices of bread in the pan and cook them for one minute (first minute)Turn both slices over and cook ( second minute)Remove both slices and slice one of this into two. This will mean the new slices will have one side cooked and another one that is not cooked.Cook these thinner slices (third minute).The result would be three cooked slices, although two of them would be thinner.Learn more about French toast in: https://brainly.com/question/11713135
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What is (43/7÷ x+32/9) ÷25/6=4/3
The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
How to solve for x in the equation?The equation is given as:
(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3
Rewrite as a product
(43/7 ÷ x + 32/9) x 6/25 = 4/3
Multiply both sides of the equation by 25/6
(43/7 ÷ x + 32/9)= 4/3 x 25/6
Evaluate the product
(43/7 ÷ x + 32/9)= 50/9
Rewrite the equation as:
43/7x + 32/9= 50/9
Subtract 32/9 from both sides
43/7x = 2
Multiply both sides by 7x
14x = 43
Divide by 14
x =43/14
Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
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If f(x) = 5x, what is ƒ˜¹ (x)?
[tex]y = 5x \\ switch \: y \: and \: x \\ x = 5y \\ solve \: for \:y \\ y = \frac{x}{5} [/tex]
ASAP HELP ME WITH THIS
Answer:
isosceles trapezoind
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent base angles.
At Roxas Middle School, every student studies Spanish, Chinese, or both Spanish and Chinese. There are $374$ students enrolled at the school, and $100$ of these students study both Spanish and Chinese. Also, the number of students studying Spanish is twice the number studying Chinese. How many students at Roxas Middle School study Spanish?
Based on the number of students at Roxas Middle School and the number of students studying Chinese and Spanish, the number of students who study Spanish is 182 students.
What number of students study Spanish?The first thing to do is to find out the number of students who are studying either Spanish or Chinese:
= Total number of students - Students studying both Spanish and Chinese
= 374 - 100
= 274 students
Then, assuming the number of students studying Chinese alone is x, the expression to find them would be:
274 = 2x + x
Solving gives:
2x + x = 274
3x = 274
x = 274 / 3
x = 91 students
The number studying Spanish is twice this number so will be:
= 91 x 2
= 182 students
In conclusion, there are 182 student studying Spanish.
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Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1
Separating variables, we have
[tex]\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx[/tex]
Integrate both sides.
[tex]\displaystyle \int y\,dy = \int x\,dx[/tex]
[tex]\dfrac12 y^2 = \dfrac12 x^2 + C[/tex]
Given that [tex]y(0)=-1[/tex], we find
[tex]\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12[/tex]
Then the particular solution is
[tex]\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12[/tex]
[tex]y^2 = x^2 + 1[/tex]
[tex]y = \pm\sqrt{x^2 + 1}[/tex]
and because [tex]y(0)=-1[/tex], we take the negative solution to accommodate this initial value.
[tex]\boxed{y(x) = -\sqrt{x^2+1}}[/tex]
what is angle JLK?
a. 23 degrees
b. 24 degrees
c. 67 degrees
d. 134 degrees
Answer:
Answer is c, 67.
Step-by-step explanation:
So angle L and K are going to be the same, and so its going to be:
46+2n=180, since 180* inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
Answer is c, 67.
To check, 46+67+67=180
The measure of angle JLK is 67 degree.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The angle L and K are going to be the same;
46+2n=180,
Since 180 inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
The answer is c, 67.
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Uncle Bill has planted fruits in the farm and 7/12 is watermelon.2/3 of the watermelon section is ruined from the storm.The rest is planted with lemon which isn’t ruined.What is the fraction of his farm which isn’t ruined?
The fraction of his farm which isn’t ruined is 11/18
Fractions and proportionFractions are written as a ratio of two integers. The given question will be solved using the method of proportion.
If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;
Fraction ruined from the storm = 2/3* (7/12)
Simplify to its lowest term to have:
Fraction ruined from the storm = 7/18
Determine the fraction of the firm that is not ruined
Fraction not ruined = 1 - 7/18
Fraction not ruined = 11/18
Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.
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Prove that :-
(sinA + secA)² + (cosA + cosecA)² = 1 + secAcosecA
May this answers be helps you to solve
:
Find the intercepts and graph the following linear equations:
3x+4y-12=0
x - intercept:
y - intercept:
Answer:
x-intercept: (4, 0)
y-intercept: (0, 3)
Step-by-step explanation:
The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.
InterceptsSetting x=0 and solving for y, we have ...
4y -12 = 0 ⇒ y = 12/4 = 3
Setting y=0 and solving for x, we have ...
3x -12 = 0 ⇒ x = 12/3 = 4
The intercepts are ...
x-intercept: (4, 0)
y-intercept: (0, 3)
GraphThe line will go through these intercept points.
Find the Riemann sum for
f(x) = 2x − 1, −6 ≤ x ≤ 4,
with five equal subintervals, taking the sample points to be right endpoints.
Explain, with the aid of a diagram, what the Riemann sum represents.
Mathematically speaking, the Riemann sum of the linear function is represented by A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 2]] - [[4 - (- 6)] / 5] · ∑ 1, for i ∈ {1, 2, 3, 4, 5}, whose representation is represent by the graph in the lower left corner of the picture.
What figure represents a Riemann sum with right endpoints?
Graphically speaking, Riemann sums with right endpoints represent a sum of rectangular areas with equal width with excess area for positive y-values and truncated area for negative y-values generated with respect to the x-axis. Mathematically speaking, this case of Riemann sums is described by the following expression:
A ≈ [(b - a) / n] · ∑ f[a + i · [(b - a) / n]], for i ∈ {1, 2, ..., n}
Where:
a - Lower limit
b - Upper limit
n - Number of rectangles
i - Index of a rectangle
If we know that f(x) = 2 · x - 1, a = - 6, b = 4 and n = 5, then the Riemann sum with right endpoints of the area below the curve is:
A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 2]] - [[4 - (- 6)] / 5] · ∑ 1, for i ∈ {1, 2, 3, 4, 5}
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