440 is the answer
Tn=a+(n-1)d
Tn=53
a= -12
n=53
d= 11
-12+(53-1)11 = 440
Answer:
560Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
Since we're finding the 53rd term
a = - 12
n = 53
d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11
d = 11
So we have
A(53) = - 12 + (11)(53 - 1)
= - 12 + 11(52)
= -12 + 572
= 560
We have the final answer as
560Hope this helps you
Last summer Olivia earned $3800 by selling cakes. She invested some of the money in a savings account that paid 4.5%/yr and the rest in a government bond that paid 5.5%/yr. After one year, she has earned $180 in interest. How much did she invest at each rate? [4]
Answer:
Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Step-by-step explanation:
With the information provided you can write the following equations:
x+y=3800 (1)
0.045x+0.055y=180 (2), where:
x is the amount invested in a savings account
y is the amount invested in a government bond
First, you can solve for x in (1):
x=3800-y (3)
Next, you can replace (3) in (2) and solve for y:
0.045(3800-y)+0.055y=180
171-0.045y+0.055y=180
0.01y=9
y=9/0.01
y=900
Finally, you can replace the value of y in (3) to find x:
x=3800-900
x=2900
According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?
Answer:
I would expect Emmy to get 8 hits in her next 16 tosses.
Emmy is to get 8 hits in her next 16 tosses.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data.
The probability is,
P = 9 / 18
P = 0.5
The expected number of the hits on the target in 16 tosses will be;-
Number = 16 x 0.5
Number = 8
Therefore, Emmy is to get 8 hits in her next 16 tosses.
To know more about probability follow
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A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?
Answer:
16n + 24
Step-by-step explanation:
Area of a rectangle= Length × width
= (2n+3) × 8
= 16n + 24
Andrea reads 36 pages each night. How many pages does Andrea read in 42 nights?
A 1,502pages
B 1,512pages
C 1,552pages
D 1,582pages
Answer:
1,512
Step-by-step explanation:
36x42
Evaluate the following expression.
1/5^-2
Help me with this and you’ll be marked as Brainliest
Answer:
A.) The base is 5 and the exponent is 3
B.) The base is 4 the exponent is 7
C.) The base is 3 the exponent is 4
D.) The base is 6 the exponent is 8
Step-by-step explanation:
If cos x = -√3/2
in which quadrants could
a.
I and IV, only
b.
II and IV, only
c.
II and III, only
d.
I and III, only
Answer:
c
Step-by-step explanation:
Write an expression for the phrase. Jessica is eight inches less than twice Parkers height. Use P to represent parker.
Answer:
P = Parker
According to the question,
Equation for Jessica's height = 8 - 2P
in a circle of radius 28 cm, an subtends an angle of 45° at the centre, then find the length of the arc(in cm)
Answer:
22cm
Step-by-step explanation:
Length of arc = [tex]\frac{theta}{360}[/tex] * 2[tex]\pi[/tex]r
= [tex]\frac{45}{360}[/tex] * 2 * [tex]\frac{22}{7}[/tex] * 28
= 22 cm
3. The ratio of the side lengths of a pentagon is 1:3:4:6:9, and the perimeter is 115 yds. What is the measure of the 3rd longest side?
Answer:
20 yards
Step-by-step explanation:
By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x
We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.
We can solve that for x, so we can find each side measurements' numerical value.
(1+3+4+6+9)x=115
(23)x=115
x=115/23
x=5
So the side measurements are:
1x=1(5)=5
3x=3(5)=15
4x=4(5)=20
6x=6(5)=30
9x=9(5)=45
The third longest sife is 20 yards.
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Can someone plz help me with the answer
Step-by-step explanation:
[tex] \frac{12 \times 8}{2} + {( \frac{8}{2}) }^{2} \pi = \\ = 48 + 16\pi[/tex]
98.24
(3)(0.2)+9 help please
Answer:
9.6
Step-by-step explanation:
Answer:
[tex]9.6[/tex]
Step-by-step explanation:
1) Simplify 3 × 0.2 to 0.6.
[tex]0.6 + 9[/tex]
2) Simplify.
[tex]9.6[/tex]
Hence, the answer is 9.6
Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please?
Answer: the formula is : β = 180° - α
A = 6 * a² * sin(α)
V = a³ * (1-cos(α)) * √1+2cos(α)
Sorry, i don't know any examples .
Step-by-step explanation:
Please help 6th grade math please please help i will give brainliest
uh someone help D:
ill make the points high
Answer:
m = 18/4 = 9/2 = 4.5
Step-by-step explanation:
Notice that the line passes through (0, 0) and (4, 18). Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5 This is Answer B
Over the past month, a garment manufacturer produced 800 dresses. The distribution of the amount of fabric required to make the dresses is
not normal.
The average amount of fabric needed to make a dress is 4 yards, with a standard deviation of 2 of a yard. Suppose a series of samples, each
containing 180 dresses, are selected from the dresses produced in the past month.
Would it be appropriate to model the distribution of a sample mean with a normal model?
Answer:
Yes it will be appropriate to model the distribution of a sample mean with a normal model
Step-by-step explanation:
Given that the population is not normal, and the sample is sufficiently large, according to the Central Limit theorem, the distribution of the mean pf the sampling distribution will be approximately normal not withstanding the population from which the sample is obtained. Therefore, the mean, [tex]\overline x[/tex], and the standard deviation, [tex]\dfrac{\sigma}{\sqrt{n} }[/tex], of the sample will be equal to the mean, μ, and standard deviation, σ, of the of the population
Therefore, it will be appropriate to model the distribution of a sample mean with a normal model
Answer:
yes
Step-by-step explanation:
i got it right on plato
can someone awnser the following screenshot
The answer is 23v
steps-
remove the parentheses
2x7v+9v
multiply the number
2x7=14+19v
add them
14v+19v=23v
A number,
n
n, is multiplied by
−
0.7
−0.7. The product is
−
1
2
−
2
1
. What is the value of
n
n?
Answer:
0.8
Step-by-step explanation:
got it right on edg
Answer:
5/7
Step-by-step explanation:
Are these proportional?
6/9 and 2/3
Answer:
yes.
Step-by-step explanation:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
6/9 divided by 3/3= 2/3
proportional
Can someone plz help me with this I need to get an 92 choose all that apply
Step-by-step explanation:
54, 54, 72
[tex]180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72[/tex]
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-5p+3
Step-by-step explanation:
-p-2-4p+5
-p-4p-2+5
-5p+3
Solve the proportion
17/4 = y/6
Answer:
This is your answer ☺️☺️
Five more then six times a number is 17.what is the number
Answer:
2
Step-by-step explanation:
You set up and equation:
5+6x = 17
You solve it and get 2.
Step-by-step explanation:
17-5 = 12
can you guys help me asap
Saul's Corner Market sells large candy bars for $2 each. A bag of pretzels is $3. On Tuesday, the store sold twice
as many candy bars as Monday but the same number of pretzels. On Wednesday, the store sold the same
number of candy bars as Monday but only half the amount of pretzels. On Thursday, the store sold three times
as much as they sold on Tuesday. On Friday, the store sold 12 fewer candy bars and 5 more bags of pretzels
compared to Wednesday.
Let c represent the number of candy bars sold and p represent the number of pretzels sold on Monday. Write
an expression for each day to show the amount of money that the store brought in from candy bars and
pretzels.
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Monday through Friday
Answer:
Step-by-step explanation:
Monday: c and p
Tuesday: 2c+p
Wednesday: 2c+p/2
Thursday: 6c+3p/2
Friday: (2c-12)+(p/2+5)
Adding them all up, you get, for Monday-Friday: (13c-12)+(9p/2+5)
I'm not sure how to explain this to you though, you just follow the directions they gave, to multiply and subtract.
Hope this is helpful!
solve for x round to your nearest tenth
Answer:
5.5
Step-by-step explanation:
30-60-90 triangle rule is:
x - x[tex]\sqrt{3}[/tex] - 2x
11 = 2x
x = 5.5
Answer: 50
Step-by-step explanation:
because its rounded to its nearest 20ths'
Slope -1/3, y-intercept = 5
Answer:
y=-1/3x+5
Step-by-step explanation:
I know the equation would be y=-1/3x+5 because of slope intercept form.
y=mx+b
y= the y coordinate of a point on the graph
m= slope of the graph
x= the x coordinate of a point on the graph
b= y intercept
We know the slope of the graph is -1/3, and we know the y- intercept of the graph is 5.
So, the equation is y=-1/3x+5.
Which of the following numbers is the SMALLEST?
(45 points)
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]
Step-by-step explanation:
※※※※※※※※※※※※
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Write the equation of the line based on the given information explain the answer in slope intercept form
Answer:
y = 2/3 x - 3
Step-by-step explanation:
substitute the given slope and the coordinate into the slope-intercpet form:
y = mx + b to solve for b,
-1 = 2/3(3) + b
=> b = -3
y = 2/3 x - 3
