express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
Find the circumference of the circle. Use 22/7 for pi.
Answer:
44
Step-by-step explanation:
circumference = 2πr = 2*(22/7)*(14/2) = 44
Answer:
C = 44 cm
Step-by-step explanation:
The diameter is 14.
The formula for circumference is
C = pi * d where d is the diameter
C = 22/7 * 14
C = 22 * 2
C = 44 cm
One year, the population of a city was 209,000. Several years later it was 244,530. Find the percent increase
Answer:
17%
Step-by-step explanation:
（244530—209000）/209000*100%=17%
Answer: wait huh
Step-by-step explanation:
I’ll give 15 points please tell me thanks :))
Answer:
2
Step-by-step explanation:
1 , 3 and 4 have at least two pairs of parallel lines,
2 only have one pair of parallel line
(that's the only thing I can think of)
solve ax^2-c=0 assume a and c are positive
9514 1404 393
Answer:
x = ±√(c/a)
Step-by-step explanation:
Undo what is done to x.
ax² -c = 0
ax² = c . . . . . . add c
x² = c/a . . . . . . divide by a
x = ±√(c/a) . . . . take the square root
Determine the equation of the circle graphed below.
Does anyone know the answer??
Convert 4(cos(150°) + isin(150) into rectangular form.
Answer:
The rectangular form of [tex]4[cos(150^{o})+i sin (150^{o})][/tex] is [tex]-2\sqrt{3}+2i[/tex].
Find the area of the shape below
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer: 2200
Step-by-step explanation:
First we will find the area of the triangle, the formula for that is bh/2
(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.
The length of rectangular playground exceeds twice its width by 15 feet, and the
perimeter of the playground is 540 feet. What is the area of the playground in square feet?
Answer:
Width=85. Length=185. Area=15,725
Step-by-step explanation:
540/2=270, which is the sum of length+width.
270-15=255, so what's left is width+width+width.
255/3=85.
85*2=170
170+15=185
85*185=15,725
Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class
Answer:
80 distributions of the three scholarship are possible.
Step-by-step explanation:
Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:
4 x 5 x 4 = X
20 x 4 = X
80 = X
Therefore, 80 distributions of the three scholarship are possible.
PLEASE HELP!
write an expression ( simplified ) for the perimeter of the given figure
Answer:
Step-by-step explanation:
2(3x-1)+2(6)
6x-2+12
6x+10
Answer:
6x + 10mm
Step-by-step explanation:
first lets put all the sides into an equation
6mm + 6mm + (3x - 1mm) + (3x - 1mm)
then we simplify it
12mm + 6x -2mm
10mm + 6x
hope this helps <3
Simplify the expression.
-1 + (-3) - (-5) =
Answer:
=-1)+(-3)-(-5)
=-1-3+5
=-4+5
=1
Step-by-step explanation:
answer is to your question is 1.
Answer:
1
Step-by-step explanation:
-1 + (-3) - (-5)= -1 + 2 = 1
- and - give you +, so positive 5 and negative 3
- 3 + 5= 2
find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
Answer:
120
-------
8 x 3 = 24
24 x 5 = 120
= 120
Step-by-step explanation:
a bank loaned out $19000, part of it at the rate of 7% per year and the rest at 15% per year. if the interest received in one year totaled $2000, how much was loaned at 7%? How much of the $19000 did the bank loan out at 7%?
Answer:
10625
Step-by-step explanation:
Let x= the amount loaned at 7%
which means that the amount loaned at 15% is 19000-x (or the rest of the money)
we can write the following equation
x*.07+(19000-x)(.15)=2000
solve for x
.07x+2850-.15x=2000
-.08x= -850
x=10625
A local school has 14 kindergarten teachers. Of these teachers, 4 are Hispanic, 5 are bilingual, and 3 are both Hispanic and bilingual. If a kindergarten teacher is selected at random, what is the probability that teacher is Hispanic or bilingual? P(Hispanic or Bilingual) = Give answer as decimal (not percent) and round to 3 decimal places.
Answer:
P(Hispanic or Bilingual) = 0.429.
Step-by-step explanation:
This question is solved treating these events as Venn probabilities.
I am going to say that:
Event A: Hispanic
Event B: Bilingual
Out of 14 teachers, 4 are Hispanic, 5 are billingual, and 3 are both:
This means that:
[tex]P(A) = \frac{4}{14}, P(B) = \frac{5}{14}, P(A \cap B) = \frac{3}{14}[/tex]
What is the probability that teacher is Hispanic or bilingual?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
With the values that the exercise gives us:
[tex]P(A \cup B) = \frac{4}{14} + \frac{5}{14} - \frac{3}{14} = \frac{4 + 5 - 3}{14} = \frac{6}{14} = 0.429[/tex]
So
P(Hispanic or Bilingual) = 0.429.
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi
-630°
a. -7/pi
b. - 7/pi/4
c. - 7/pi/2
d. 7/pi/2
Please select from the best choices provided
Answer:
C. -7/pi/2
Step-by-step explanation:
I calculated it logically
50 POINTS !!
PLEASE HELP ILL GIVE BRAINLIEST !!
Answer:
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]
Hope this helps!
In Texas, state law requires that for regular classroom settings in elementary grades K-4, the student-to-teacher ratio can be no more than 22:1. Schools may request a waiver to exceed this ratio. A hypothesis test is performed to determine if the proportion of schools needing such a waiver is above 25% using a random sample of 85 schools and a significance level of 5%. What conclusion should be drawn if 32 of the schools surveyed need a waiver to exceed the required student-to-teacher ratio
Answer:
Step-by-step explanation:
A hypothesis test is performed to determine if the proportion of schools needing such a waiver is above 25%
At the null hypothesis, we test that the proportion is of 25%, that is:
[tex]H_0: p = 0.25[/tex]
At the alternate hypothesis, we test that the proportion is above 25%, that is:
[tex]H_a: p > 0.25[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.25 is tested at the null hypothesis:
This means that [tex]\mu = 0.25, \sigma = \sqrt{0.25*0.75}[/tex]
Sample of 85 schools, 32 need a waiver:
This means that [tex]n = 85, p = \frac{32}{85} = 0.3765[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.3765 - 0.25}{\frac{\sqrt{0.25*0.75}}{\sqrt{85}}}[/tex]
[tex]z = 2.69[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.3765, which is 1 subtracted by the p-value of z = 2.69.
Looking at the z-table, z = 2.69 has a p-value of 0.9964
1 - 0.9964 = 0.0036
The p-value of the test is 0.0036 < 0.05, thus we reject the null hypothesis that the proportion is 25%, and accept the alternate hypothesis that the proportion of schools needing such a waiver is above 25%.
Instead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is
Answer:
"0.9739" is the correct answer.
Step-by-step explanation:
The given values are:
The ratio of true to false effects,
= 0.07
The power of study,
= 0.8
Alpha level,
= 0.05
Now,
The percentage of effects proved as significant will be:
= [tex]0.8\times \ 70 \ percentage[/tex]
= [tex]0.56[/tex]
0r,
= [tex]56[/tex]%
The percentage of false effects will be:
= [tex]0.05\times 30 \ percent[/tex]
= [tex]0.015[/tex]
or,
= [tex]1.5[/tex]%
The total effects will be:
= [tex]56+1.5[/tex]
= [tex]57.5[/tex]%
hence,
The probability that this effect is real will be:
= [tex]\frac{56}{57.5}[/tex]
= [tex]0.9739[/tex]
Can someone help me with this please ?
Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.
Answer:
will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
The spinner is divided into 5 equal sections. Trina is going to spin the arrow once.
red
green
yellow
red
What is the probability that the arrow will land on a red section?
A 20%
B. 25%
C. 40%
D. 50%
E. 67%
Answer:
Did you mean 4 equal sections, not 5 equal sections?
Step-by-step explanation:
Did you mean 4 equal sections, not 5 equal sections?
Answer:
ther answer is 100% c
Step-by-step explanation:
i did the test
Sequences:
Determine the general term of the following sequences:
A. 3, 7, 11, 15, 19, ...
B. -3, 9, -27, 81, -243, ...
C. [tex]\frac{3}{4} , \frac{5}{7} , \frac{7}{10} , \frac{9}{13} , \frac{11}{16} , ...[/tex]
Answer:
A.3, 7, 11, 15, 19, ...The first term is 3 and the common difference is 4.
The nth term is:
aₙ = a₁ + (n - 1)daₙ = 3 + 4(n - 1) = 4n - 1aₙ = 4n - 1B.-3, 9, -27, 81, -243, ...The first term is -3 and common ratio is -3.
The nth term is:
aₙ = a₁rⁿ⁻¹aₙ = -3*(-3)ⁿ⁻¹ = (-3)°aₙ = (-3)ⁿC.3/4, 5/7, 7/10, 9/13, 11/16, ...The numerator and the denominator are both AP.
The numerator:
b₁ = 3, d = 2The nth term is:
bₙ = 3 + 2(n - 1) = 2n + 1The denominator:
c₁ = 4, d = 3The nth term is:
cₙ = 4 + 3(n - 1) = 3n + 1The nth term of the sequence is:
aₙ = bₙ/cₙaₙ = (2n + 1)/(3n + 1)
simplify:7^x+2-9.7^x/20*7^x
Given:
The expression is:
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}[/tex]
It can be written as
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}\cdot 7^{2}-9\cdot 7^x}{-20\times 7^x}[/tex]
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}(49-9)}{-20\times 7^x}[/tex]
Cancel out the common factors.
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{40}{-20}[/tex]
[tex]\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=-2[/tex]
Therefore, the simplified value of the given expression is -2.
Asher solved the equation below:
4x = 64
4x − 4 = 64 − 4
x = 60
Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)
Which equation represents g(x)?
O g(x) = 3/x+1
One batch of walnut muffins uses
1 cups of walnuts. How many cups of
walnuts are needed to make 3 batches of muffins?
1) 5 cups
4 cups
3.2 cups
5.12 cups
Answer:
4 cups
Step-by-step explanation:
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
A. Yes
Step-by-step explanation:
I calculated it logically
Yes the given figure with rectangle tessellates the plane.
A rectangle cannot tessellate a plane by itself because it is not a regular polygon with equal angles and sides.
A rectangle can only tessellate the plane if it is combined with other shapes, such as squares or triangles, to form a regular tessellation.
Yes, the given figure tessellates the plane.
Hence, Yes the given figure tessellates the plane.
To learn more on Rectangles click:
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