How many prime numbers are there between 40 and 60
Answer:
20.
Step-by-step explanation:
60 - 40 = 20
Answer:
There are 5 prime numbers between 40 and 60.
Step-by-step explanation:
A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.
Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.
Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
BRUH NO ONE EVER ANSWERS MY QUESTONS UNTIL A MONTH OR WEEKS LATER WHEN I DONT NEED IT
3u^2+v=69 which values of u and v make it true
A. u=-5 and v=-7
B. u=5 and v=7
C. u=-5 and v=6
D. u=-5 and v=-6
Answer:
B hope this helped
Step-by-step explanation:
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
Jocelyn earns $68,320 per year as an artist in Boston. She pays about 25% of her gross monthly income in federal and state taxes. She
wants to find an apartment to rent. Estimate how much money she will have to pay all of her monthly expenses.
25% of income in taxes - S
Income per year after taxes = $
Monthly Income to use for all expenses (found to the nearest hundredth-two decimal places) - $
The details about Jocelyn's earnings as an artist in Boston can be summarized using mathematical operations as follows:
25% of income in taxes = $17,080
Income per year after taxes = $51,240
Monthly Income to use for all expenses = $4,270.
How the monthly income is determined:The monthly income after taxes is computed as the quotient of the net earnings divided by 12.
The quotient is the result of a division operation, which is one of the basic mathematical operations.
Jocelyn's yearly earnings = $68,320
Federal and state taxes = 25% = $17,080 ($68,320 x 25%)
Income per year after federal and state taxes = $51,240 ($68,320 - $17,080)
Monthly income after taxes = $4,270 ($51,240 ÷ 12)
Thus, the monthly income after taxes is determined using some mathematical operations.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
The dosage the pharmacy carries in stock (on hand), is different than the prescribers order. Use ratio and proportion to calculate the total quantity of tablets to dispense for each of the prescriptions below: Order: Zocor 40 mg po qd for 60 days On hand: 20 mg tabs How many 20 mg tabs should be given? Give:
Using ratios and proportions, the number of 20 mg tabs that should be given in place of 40 mg po qd for 60 days is 120 tabs.
How the number is determined:Using ratios and proportions, the number of tabs of 20 mg that should be given in place of 40 mg qd for 60 days is determined as follows:
Order: Zocor 40 mg po qd for 60 days
= 60 tabs since it is once per day (qd)
Total mg = 2,400 mg (40 mg x 60 tabs)
On hand: 20 mg tabs
Proportionately, 20 mg = 120 tabs (2 x 60) since 40 mg is for 60 tabs
Total mg = 2,400 mg (20 mg x 120 tabs)
Learn more about ratios and proportions at https://brainly.com/question/29774220.
#SPJ1
Two numbers are in the ratio 9:7 if one number is 324, what is the other number?
Answer:
\(\boxed{\bold{\huge{\boxed{\sf x = 252}}}}\)
Step-by-step explanation:
The ratio is 9 : 7
The first number is 324
Let's build the proportion for it.
9 : 7 = 324 : x [We've to find x]
Product of Extremes = Product of Means=> 9 * x = 324 * 7
=> 9x = 2268
Dividing both sides by 9
=> x = 252
So, The other number is 252.
The table below represents a linear function f(x) and the equation represents a function (x)f(x)-1-12g(x)09(x) = 2x + 610Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x), (6 points)Part B: Which function has a greater y-intercept? Justify your answer (4 points)I
Answer:
(a)The slope of f(x) is greater than the slope of g(x).
(b)g(x) has a greater y-intercept.
Explanation:
Part A
From the table of f(x), we have the pairs:
(-1,-12),(0,-6) and (1,0).
First, we find the slope of f(x).
\(\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{-6-0}{0-1} \\ =-\frac{6}{-1} \\ =6 \end{gathered}\)Given the function g(x) defined as follows:
\(g(x)=2x+6\)Comparing g(x) with the slope-intercept form (y=mx+b), the slope of g(x) is m=2.
Sentence: The slope of f(x) is greater than the slope of g(x).
Part B
The y-intercept is the point in a function where x=0.
In f(x), When x=0, f(x)=-6
• The y-intercept of f(x) is -6.
Comparing g(x) with the slope-intercept form (y=mx+b), the y-intercept of g(x), b=6.
Therefore, g(x) has a greater y-intercept.
.........................
Answer: C
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A well-known basketball coach has coached at the same university for 20 years. After what
seems like an infinite number of seasons, he finds that the mean number of points his teams score
is 72. One year he has an exceptionally tall team. The coach wants to know if the taller team
results in a greater number of points scored. Assume 72 to be the population mean with the
population variance unknown. The taller téam's scores are: '80, 88, 74, 82, 89, 90, 68, 95, 96, 72,
73 (it was a short season).
State the null and research hypotheses.
1) Report degrees of freedom (if applicable).:
2) Report the critical value using alpha= .05.:
3) Calculate the test statistics. :
4) In two or three sentences, briefly explain the results
(This includes your decision concerning the null hypothesis). :
Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.
How did we determine the test statistic?Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.
Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).
Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.
To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:
t = (82-72) / (9.89 / sqrt(10)) = 3.19
Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.
learn more more about Null hypothesis: https://brainly.com/question/13045159
#SPJ1
Kira makes $7.50 babysitting. She has been doing such a great job that the family has decided to give her a raise! They are going to pay her $9.75 an hour now! Find her percent increase!
30%
.3%
23%
.2307692308
Answer:
30%
Step-by-step explanation:
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
PLZ HURRY Yummy donuts gave 2 dozen chocolate donuts and 6 donut jelly donuts to the school.how many donuts did they give?
Answer:
they gave 18 donuts to the school.
Answer:
2 dozen= 24 + 6 = 30 donut.
may someone please help? also I hope everyone has been doing amazing
Help asap please!!!
The temperature in Smallville is 30°F one morning. It rises 10 over 5 hours. The equation y = 2x+ 30 was given to represent this situation.
Which of the following tables demonstrates the relationship between the time and temperature in Smallville?
A x 0 1 2 . y 0 2 4
B x 0 1 2 . y 30 32 34
C x 30 35 40 . y 0 1 2
D x 30 32 34 . y 0 1 2
Considering the given linear function, it is found that table B represents the situation.
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
y = 2x + 30.
Hence, the y-intercept is of b = 30, that is, when x = 0, y = 30, and the slope of m = 2 means that when x increases by 1, y increases by 2, hence table B is the answer for this question.
More can be learned about linear functions at https://brainly.com/question/24808124
PLEASE HELP!!!!!
WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.
Answer:
ZYW = 17.
Step-by-step explanation:
ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.
The measure of angle ZYW is 17.
Given that,
The Angle WXY has a measure of 133 degrees.And, the angle ZWX has a measure of 60 degrees.Based on the above information, the calculation is as follows:
= 180 - 133 - 30
= 17
Also ZYW = XYW
Therefore we can conclude that the measure of angle ZYW is 17.
Learn more: brainly.com/question/17581080
Ben went with his parents to buy a new outdoor chair. Measure and write the angle of the seat (it has been traced for you) and then explain the steps you took to measure the angle.
Answer:
what is the length we are talking about i need a little more info
Step-by-step explanation:
Michelle has starting balance on a gift card for $300. She buys several dresses at $40 a piece.After her purchase she has $140 left on her gift card.How many dresses did she buy?
Answer:
4!
Step-by-step explanation:
40 x 4 = 160
160+ 140 = 300
Answer:
4 dresses
Step-by-step explanation:
If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.
(hope this helps!)
10. How many categories for personality traits are in the HEXACO Personality Inventory?
O A. Sixteen
O B. Six
O C. Four
O D. Ten
Answer: Six
Step-by-step explanation:
What is the scale factor of the dilation?
2/5
2/3
3/2
8/5
Answer:
Dialation Point OA(6 , 9)Dialation Point OB(12 , 15)
Step-by-step explanation:
what is the midpoint of-2,2 4,-1
Your printer takes 36 seconds to print a small photo and 60 seconds to print a large one.
a.) Write an expression for the time (in seconds) your printer would take to print a batch
including both small and large photos.
b.) Find the time your printer would take to print 12 small photos and 5 large photos.
Answer: for part B = 732 seconds or 12.2 minutes
Step-by-step explanation: 36 seconds times the amount of small photos 12 = 432 plus 60 seconds times the amount of large 5 photos = 300 , 432 plus 300 equals 732 seconds
(36 x 12) + (60 x 5) = 732
y - X=-5
y = 2x2-3x-5
PLEASE HELP
(use substitution)
Answer:
x=1 y=-4
Step-by-step explanation:
Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1996, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected number of new cases for 2004, rounded to the nearest whole number.
The linear regression equation for the data is given as follows:
y = -23.8x + 749.2.
The estimate for the number of new cases in 2004 is given as follows:
559.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for this problem are given as follows:
(0, 757), (1, 719), (2, 682), (3, 705), (4, 645).
Inserting these points into the linear regression calculator, the equation is given as follows:
y = -23.8x + 749.2.
2004 is 8 years after 1996, hence the estimate is given as follows:
y = -23.8(8) + 749.2
y = 559.
More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1
Write an algebraic expression to represent the coast of m gallons of gassoline if each gallon coast $1.45
Answer:
$1.45m
Step-by-step explanation:
Help. I'll mark as brainlist.
The composite figure has an area of 12 square units.
How to determine the area of a composite figure
Herein we find a four point star-like composite figure, whose area has to be determined. The area is the sum of the areas of a square and four right triangles, whose area formulas are described below:
Square
A = l²
Where l is the side length.
Right triangle
A = 0.5 · b · h
Where:
b - Baseh - HeightFirst, determine the formula of the area of the composite area:
A = l² + 4 · 0.5 · b · h
A = l² + 2 · b · h
Second, calculate the area:
A = 2² + 2 · 2 · 2
A = 4 + 8
A = 12
The area of the composite figure is equal to 12 square units.
To learn more on areas of composite figures: https://brainly.com/question/23718948
#SPJ1
Please help me solve this
Answer:
x=2√41
Step-by-step explanation:
According to Pythagorean theorem:
14²=(4√2)²+x²
x²=14²-32=164
x=√164=2√41