Answer:
89
Step-by-step explanation:
8 is divisible by 4
And 9 is divisible by 3
Which of the following is equal to the fraction below?
Answer:
D
Step-by-step explanation:
(5/9)^8
You distribute the exponent 8 to both the 5 and the 9, so D is just 1 step more simplified.
Answer: The correct option is (D) {5^8}{9^}.
hope this helps. ;)
The price of an item has been reduced by 15%. The original price was $17
Answer:
17/100*85= $14.45
Step-by-step explanation:
Divide by 100 and multiply by (100-15) 85 to get the result.
If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle
Answer:
The fourth angle is 155
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360 degrees
60 + 45 + 100 + x = 360
Combine like terms
205+x = 360
Subtract 205 from each side
205+x-205 = 360-205
x =155
Answer:
155
Step-by-step explanation:
What is the circumference and area of a circle in which the diameter of the circle is 16 feet
Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
Solve 5 + x - 14 = x - 7
Answer:
No solution
Step-by-step explanation:
5+x-14=x-7
-9+x=x-7
2+x=x
2=0
No solution
The revenue generated by the band is given by the expression 50x+150
Select all of the ordered pairs that are solutions to the inequality:
50x + 150y > 1500
(1, 10)
(10, 1)
(0, 10)
(40, 0)
Answer:
(1, 10) and (40, 0)
Step-by-step explanation:
Given expression 50x+150
inequality is
50x + 150y > 1500
it means that if we plug value of x and y from given option in 50x+150 then it should be greater than 1500.
lets check for all the option
(1,10)
50*1 + 150*10 = 50+1500 = 1550
Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given
(10, 1)
50*10 + 150*1 = 500+ 150 = 650
Since , 650 is less than 1500, (10,1) is not the solution for the inequality given
(0, 10)
50*0 + 150*10 = 0 + 1500 = 1500
Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given
(40, 0)
50*40 + 150*0 = 2000 + 0 = 2000
Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.
Thus, from the given option there are two solution for 50x + 150y > 1500
(1, 10) and (40, 0)
(1, 10) (40, 0) as the person above/below stated.
What is the probability of rolling a die and it landing on a number less than 3?
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.
Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346
Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of
Answer:
120%
Step-by-step explanation:
Because the answer is 1 1/5 that converted to a percentage(%) is 120%.
9.53% people between the age 30 to 44 rated the movie as excellent.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
According to the given question.
We have a data of people of different ages who rated the movie as excellent, Average, and poor.
Now,
Total number of people between the age 30 to 44 who rated the movie excellent is 33
And, the total number number of people who watched the movie is 346.
Therefore, the percentage of people who are in between 30 to 44 and rated the movie as excellent is given by
[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]
[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]
Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.
Find out more about percentage here:
https://brainly.com/question/14699403
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Triangle P Q R is shown. Angle R P Q is 99 degrees and angle P Q R is 31 degrees. The length of Q R is 11. Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.
Answer:
[tex]\angle PRQ = 50^\circ[/tex]
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
[tex]\angle RPQ =99^\circ[/tex]
[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]
To find:
[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]
We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]
i.e.
[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]
To find the sides, we can use Sine rule:
As per Sine rule:
[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]
Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.
Using Sine rule in given triangle:
[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Answer:
Answer:
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
To find:
We know that the sum of all the angles of a triangle is equal to
i.e.
To find the sides, we can use Sine rule:
As per Sine rule:
Where a, b and c are the sides opposite to respectively.
Using Sine rule in given triangle:
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
David wants to find the solutions of this system of equations: –4x – 7 = y x2 – 2x – 6 = y Which statement is true? Plz its urgent!!
Answer:
(-1, -3)
Step-by-step explanation:
The given equations are:
[tex]-4x-7=y ...... (1)[/tex]
and
[tex]x^2 - 2x - 6 = y ....... (2)[/tex]
Equating (1) and (2):
[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]
The two values of x are repeating in nature i.e. x = -1
So, value of [tex]x[/tex] is -1.
Putting value of [tex]x[/tex] in equation (1):
[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]
The solution is represented as ([tex]x,y[/tex])
So, the solutions are :
(-1, -3)
Answer:
2
Step-by-step explanation:
give brainliest
A music teacher bought 19 recorders. She
spent a total of $57. Each recorder was
the same price. The equation 19r = 57
can be used to find r, the price of each
recorder in dollars. What was the price
of each recorder?
Answer:
r = 57/19 = 3
Step-by-step explanation:
Find the surface area
Answer:
401.92
Step-by-step explanation:
Bases: 2(4^2 π)=32π
Curved Surface: 12*(2*4π)=96π
96π+32π=128π=128(3.14)≈401.92
(-3)³ + (-4)² - (-2)³
Answer:
[tex]=-3[/tex]
Step-by-step explanation:
[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]
[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]
Record 3 2/25 as a decimal. Please help!!!!!
Answer:
1.28 is the decimal form
Step-by-step explanation:
and 128/100 or 128% is the percentage for 32/25.
// have a great day //
A classroom will be assembled so that the desks fit within an area that is 8 m by 12 m. The desks will be surrounded by a border that will be the same width on all sides of the rectangular room, to
allow for walking space. The area of the border will equal 20% of the area of the space that the desks
occupy. What is the width of the border, to the nearest hundredth of a meter?
Answer:
0.46 m
Step-by-step explanation:
area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2
20% of this area is 20% * 96 m^2 = 19.2 m^2
The area of the border is 19.2 m^2.
Let the path around the desks have width x.
The area of desks plus path is a rectangle 2x + 8 by 2x + 12.
area of desks plus path = (2x + 8)(2x + 12)
= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96
The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.
area of border = (4x^2 + 40x + 96) - (96) =
= 4x^2 + 40x
Above, we have the area of border = 19.2, so we get this equation:
4x^2 + 40x = 19.2
4x^2 + 40x - 19.2 = 0
x^2 + 10x - 4.8 = 0
We now use the quadratic formula to solve the equation for x.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]
[tex] x = 0.46 [/tex] or [tex] x = -10.46 [/tex]
We discard the negative solution.
Answer: the border is 0.46 m wide.
M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540
Answer:
So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -
r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.
Brainliest?
This answer took a long time to write, so I hope you appreciate it.
what is log 8/3 base 5
Answer:
3 to the power of 8 / 5
Step-by-step explanation:
In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?
Answer:
If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.
I really need help in this one I’m stuck if someone could help me I would REALLY appreciate it ☹️ it’s geometry
I need help with this question
Answer:
15
[tex] \\ [/tex]
Step-by-step explanation:
[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]
Answer:
the missing side of the triangle is of length 15
Step-by-step explanation:
This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).
We can then find the length of the hypotenuse applying the square root on both sides:
[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]
Which is the best reason why 2/5 is the exact quotient for 1/4÷ 5/8 ?
Answer:
2/5.
Step-by-step explanation:
1/4 / 5/8
= 1/4 * 8/5
= 1*8 / 4*5
= 8/20
= 2/5.
2x - 15
x+9
For what value of x would the expression be undefined
Answer:
Undefined when x = -9
Step-by-step explanation:
(2x-15)/ (x+9)
This would be undefined when the denominator is 0
x+9 =0
x = -9
find the circumference
Answer:
25.12
Step-by-step explanation:
C = 2*3.14*4
C = 8*3.14
C = 25.12
Answer:
C =25.12 cm
Step-by-step explanation:
The circumference is given by
C = 2* pi *r
C = 2 * 3.14 * 4
C =25.12 cm
Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for of the variation in prevalence."
Answer:
The overview of the given situation is described in the explanation segment below.
Step-by-step explanation:
By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'As we know that the determination's coefficient will be:
⇒ [tex]R^2[/tex]
(Percent of variance in the answer variable described by the explanatory variable).
Now the correlation among the two variables will be:
As we know,
⇒ [tex]r^2=R^2[/tex]
⇒ [tex]r^2=0.79[/tex]
⇒ [tex]r=\sqrt{0.79}[/tex]
⇒ [tex]r=0.889[/tex]
The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².
The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable. The Coefficient of determination, R² ranges between 0 and 1 with 1 meaning 100%.Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.
Learn more :https://brainly.com/question/18405415
What is the theme of a story? 100 PTS!
Answer:
The theme in a story is its underlying message, or 'big idea".
Answer: its underlying message, or 'big idea. ' In other words, what critical belief about life is the author trying to convey in the writing.
Step-by-step explanation: what the author is trying to tell you.
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
- 30%
- 40%
- 50%
- 60%
Answer:
2/15 = 13 1/3 %
Step-by-step explanation:
eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25
P(yellow) = yellow/ total =8/25
Keep
7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24
P(red) = red/total =5/24
P(yellow then red) = 8/25 * 5/24 = 1/15
Then we have (red, yellow) =
P(red) = red/ total =5/25 = 1/5
Keep
8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24
P(yellow) = yellow/total =8/24 = 1/3
P(red, yellow) = 1/5*1/3 = 1/15
Add them together
1/15 + 1/15 = 2/15 =
someone please help
Answer:
See explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences
Please help me with my question:))
Answer:
D
Step-by-step explanation:
Two lines are perpendicular when the product of their slopes = - 1
line 1: y = 3x + 4
(3 , 0) ; (-3,2)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]
Slope of line 1 = 3
Slope of line 2 = -1/3
3* -1/3 = -1
Answer:
im sorry but you just need a chill pill
Step-by-step explanation:
Based on the equation 3x + 8y = 48, what is the missing value in the table?
Answer:
24x
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
I did the edu test hope this helps♡
