Answer:
They are all prime numbers
Explanation:
17, 19, 46, and 55 are all prime numbers. A prime number is a whole number greater than 1 that is only divisible by 1 and itself. Since 17, 19, 46, and 55 are all prime numbers, they have no other factors besides 1 and themselves, which means they cannot be divided evenly by any other number.
evaluate x 3 + (5x + y)2 if x= -1 and y=4
Answer:
-3
Step-by-step explanation
x^3+(5x+y)2
-1^3=-1
-1 x -1 x -1 = -1
(5x+y)2
(5(-1)+(4)2
(-5+(4))2
(-1)2 = -2
Bring -1 down from -1^3
-1-2=-3
You answer is -3
4/7×2 please help 10 points
Help me pls !!
Aarón made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?
Answer:
72 cm²
Step-by-step explanation:
a = large rectangle - small rectangle
a = (12 * 10) - (8 * 6)
a = 120 - 48
a = 72 cm²
John's monthly salary is $810. He spends 5/9 of it on rent, 1/3 of it on
food and saves the rest. How much money does he save in a year?
Answer:
$1080
Step-by-step explanation:
monthly salary = $810
money spent on rent = 810 × 5/9 = $450
money spent on food = 810 × 1/3 = $270
money saved in a month = monthly salary - (money spent on [rent + food])
= 810 - (450 + 270)
= 810 - 720 = $90
money saved in a year = money saved in a year × 12
90 × 12 = $1080
OR
monthly salary = $810
yearly salary = 810 × 12 = $9720
money spent on rent = 9720 × 5/9 = $5400
money spent on food = 9720 × 1/3 = $3240
money saved in one year =
yearly salary - (money spent on [rent + food] in an year )
= 9720 - (5400 + 3240)
= 9720 - 8640 = $1080
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Guys I need help so pleaseeee I give brainliest
PLEASE HELP I GIVE LOTS OF POINTS
Determine the range of the function graphed above.
A. [-4, 0]
B. (0,4)
C. [4, )
D. (-0, 4]
9514 1404 393
Answer:
D. (-∞, 4]
Step-by-step explanation:
The range is the vertical extent of the graph. The graph extends off the bottom, so the lower end of the range is -∞. The peak values are y=4, so the upper end of the range is 4.
Expressed in interval notation, the range is ...
(-∞, 4]
_____
Additional comment
The right-side bracket is square because the value 4 is included in the range. The left side bracket is rounded because there's no specific number equal to -∞. We can only say the lowest value of y is greater than -∞.
Answer: (-∞, 4]
Step-by-step explanation: Top of function stops at 4, and is negatively continuous.
Joyce paid $120.00 for an item at the store that was 50 percent off the original price. What was the original price?
Answer:
234
Step-by-step explanation:
Which answer choice correctly identify the missing information in the problem?Candice wants to get in shape for the tennis match. Her coach said she needed to include running for at least 10 minutes a day. This weekend Candice ran every day for 12 minutes. What is the total distance Candace ran?A) The missing information is the distant Candice can run per minute.B) The missing information is there are 7 days in 1 week.C) The missing information is the distance Candice can run in one day.D) The missing information is the amount of time Candice has to get into shape before the match.I think the answer is option D I just need it verified.
Given information:
She needs to include running at least 10 mins a day.
This week she ran every day for 12 mins.
Required: The total distance Candice ran?
The total distance she ran is the number of distances she would cover per minute times 12 mins i.e:
\(\text{Total distance = Number of distances covered per minute }\times\text{ 12 mins}\)Hence, the missing information is the number of distances she covers per minute.
Answer: Option A
you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
\(c=4.20h\)
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
\(\implies \dfrac{25.20}{6}=4.2\)
\(\implies \dfrac{16.80}{4}=4.2\)
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
\(\large\boxed{c=4.20h}\)
I really need help on this one
Answer:
-3x+9y=-57
Substitute the x for 4
-3(4)+9y=-57
-12+9y=-57
Add +12
-12+9y=-57
+12 +12
9y=-45
Now divide the 9 to get y by itself
9y=-45
÷9 ÷9
y=-5
So the value of y is -5
☆anvipatel77☆
•Expert•
Brainly Community Contributor
4 1/3 Divided by 1/2
Is this correct way to solve the problem?
5(2x-2)=30
10x-1030
10x=30+10
10x=40
(-10x)=(40)
x=-4
help me plz
Answer:
10x=40
x=40/10
x=4
4 is the answers, not -4
Step-by-step explanation:
pls mark as brainliest
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
The radius of a circle is 9in. Find it’s circumference in terms of
\({ \bf{ \underbrace{Given :}}}\)
Radius of the circle "\(r\)" = 9 in.
\({ \bf{ \underbrace{To\:find:}}}\)
The circumference of the circle.
\({ \bf{ \underbrace{Solution :}}}\)
\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
We know that,
\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)
\( = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in\)
Therefore, the circumference of the circle is 56.52 in.
\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)
(1/5+1/2 to the 2nd power)+3/10x5
The value of this given algebraic addition is 51/100.
The problem is in sentence format, we have to convert this to a mathematical format.
We can find the value of these given mathematical digits by following a few steps.
1/5 + ( 1/2 )^2 + 3/10×5
= 1/5 + 1/4 + 3/50 = 40/ 200 + 50/200 + 12/200
( we have multiplied both denominator and nominators with different numbers to assure that denominator of all numbers is the same )
= 102/200 ( here we have divided both with 2, to minimize the given fraction )
= 51/100.
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0 8. A function f(x) is said to have the jump discontinuity at a point x = a if lim a)x+a+ c) x→a+ f(x) = lim x→a+ f(x) = lim x→a¯ lim X-a f(x). b) lim x→a f(x) = lim x→a¯ _ f(x) f(x) = f(a) d) lim f(x) → +00 x→a+
The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.
What is jump discontinuity?Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.
According to the given information:
The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.
The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.
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we send a bit over the internet and the probability of successfully receiving it is 0.5. we define the random variable x
As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.
Binomial Distribution SummaryThe binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).
Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.
These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.
In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.
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7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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The triangles are similar. What are the measurements of the angles?
Since the triangles are similar, they have same angles. The sum of the angles of the inside of a triangle is 180º.
With those two informations, we can write the following equation:
\(3x+6x+90=180\)Solving for 'x':
\(9x+90=180\Rightarrow9x=90\Rightarrow x=\frac{90}{9}=10\)With the value of x, we have the value of the angles.
They are 60º and 30º.
Solve: 3/7 * 6/11 * 2/3. Simplify if possible. Leave answer in improper format.
Answer:
Exact Form:
12 /77
Decimal Form:
0. 155844
Step-by-step explanation:
The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height(y), in mm, to which it grows:
Y=2+4x
What does the y- intercept of this function represent?
the original height of the plant was 2mm. The correct option is the second one.
What does the y-intercept of the function represent?
We know that the function:
y = 2 + 4x
Represents the height of a plant in mm, as a function of x, the hours kepts in sunlight.
The y-intercept is the value that y takes when we evaluate in x = 0.
So, the y-intercept is the height of the plant when it is exposed to zero hours of light.
In this case:
y = 2 + 4*x
Evaluating in x = 0
y = 2 + 4*0 = 2
This means that the original height of the plant was 2mm. The correct option is the second one.
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1. The graph of the line passing through the points (6, 7) and (4,2) has a slope of
We are going to find the slope with the slope formula and the points (6, 7) and (4,2). Doing so, we have:
\(m=\frac{y2-y1}{x2-x1}=\frac{2-7}{4-6}=\frac{-5}{-2}=\frac{5}{2}\)The slope is 5/2.
Find the value of x
6x + 12
3x - 3
Answer:
19°
Step-by-step explanation:
Concept Used :-
The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .Using this ,
\(\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9} \\\\\bf\implies\boxed{\red{\bf x = 19 }}\)
Hence the value of x is 19°One-eighth of a number is -4,200.
What is the number?
-42,800
-37,800
-33,600
-42,000
Answer:
33,600
Step-by-step explanation:
take -4200 and multiply it by 8. You'd do this since the equation to get -4200 is
x(1/8) = -4200
multiply both sides by 8 to get rid of the fraction and you get x=33,600
I need help ASAP will mark the brainliest
Answer:
First answer choice
Step-by-step explanation:
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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Sven has 11 more than twice as many costumers as when started selling newspapers
He now has 73 customers.How many did he have when he started ?
Answer:31
Step-by-step explanation:
You take 73 and subtract 11 and get 62 then divide it by 2 and you get 31
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Please help this mad hard
Answer:
First Net
Step-by-step explanation:
The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.
Hope this helps :)