Answer:
a = [tex]\frac{9}{4}[/tex] , b = - 2
Step-by-step explanation:
Given the 2 equations
9 = ab² → (1)
- 72 = a[tex]b^{5}[/tex] → (2)
Divide (2) by (1)
[tex]\frac{-72}{9}[/tex] = [tex]\frac{ab^5}{ab^2}[/tex]
- 8 = b³ ( take the cube root of both sides )
[tex]\sqrt[3]{-8}[/tex] = b , that is
b = - 2
Substitute b = - 2 into (1) and solve for a
9 = a(- 2)² = 4a ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = a
find the missing side measure
Answer:
B) 178 mi
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]78^{2} + 160^{2}=c^{2}[/tex]
6084+25600=[tex]c^{2}[/tex]
31684=[tex]c^{2}[/tex]
[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]
178=c
Find,, the slope of the line through the points (2, 5) and (-4, 5)..
Answer:
[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]
Step-by-step explanation:
I think that is the answer
PLEASE HELP URGENT!!!!
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£ 21552.13
Step-by-step explanation:
P= £18790
r =4.9% = [tex]\frac{4.9}{100}=0.049[/tex]
t = 3 years
I = Prt
I = 18790 * 0.049 * 3
=£ 2762.13
After 3 years , the amount in Dan's account = 18790 + 2762.13
= £ 21552.13
Explore the properties of angles and arcs
formed by two intersecting secants.
1. Find the difference of arc measures.
mAC - mDE
Answer:
1.) Find the difference of arc measures.
mAC - mDE = 56
2.) Multiply the angle measure by 2.
2(mABC)= 56
3.) Moving points A and C to change
the angle and arcs and make a
conjecture.
The difference of arc measures
always equal 2 times the
angle measure.
The difference of arc measures is always equal to two times the angles measured at an external point of the circle.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The dimensions are given as
m∠ABC = 28°
mAC = 80
mDE = 24
The difference of arc measure will be
mAC - mDE = 80 - 24
mAC - mDE = 56
Multiply the measure of the angle m∠ABC by 2.
2 (m∠ABC) = 2 (28°)
2 (m∠ABC) = 56°
Moving points A and C to change the angle and arcs make a conjecture.
The difference of arc measures is always equal to two times the angles measured at an external point of the circle.
More about the angled link is given below.
https://brainly.com/question/15767203
3/16 times 6 as a fraction
Answer:
18/6= 1 1/8
-----------------------
Help me plsss I need or I will fail
Answer:
1. the decimal point moves to the right 2 spaces
2. the decimal point moves to the right 4 spaces
3. the decimal point moves to the right 3 places
PLEEASSEE HELP I WILL GIVE 15 Which number line could help you find the distance between (7,4) and (3, 4)? A number line going from 0 to 8 in increments of 1. Points are on 3 and 4. A number line going from 0 to 8 in increments of 1. Points are on 3 and 7. A number line going from 0 to 8 in increments of 1. Points are on 4 and 7.
Answer: i dont know if this is the right Question but it is 7 and 9 on the one i was on
Step-by-step explanation:
find the missing angle
Hugh made a recipe that yields 8 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Hugh determine the number of servings his recipe will yield? 8 and 1 over 2 ⋅ 1 over 4 8 and 1 over 2 + 1 over 4 8 and 1 over 2 − 1 over 4 8 and 1 over 2 ÷ 1 over 4
A recipe yields = 8(1/2) cups.
And,
Each serving = (1/4) cups.
Therefore,
The number of servings his recipe will yield = (Total recipe yields) ÷ (Each serving) = 8(1/2) ÷ (1/4) = 8 and 1 over 2 ÷ 1 over 4 (Option D).
NEED HELP PLZ ANSWER IMMEDIATELY IM GOING TO GET IN TROUBLE A jacket usually sells for $61.00. If the jacket is 40% off, and sales tax is 8%, what is the total price of the jacket, including tax?
Answer:
$39.528
Step-by-step explanation:
61*0.6 = 36.6
36.6*1.08 = $39.528
Answer:
39.53
Step-by-step explanation:
Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.
There are 14 rows of seats in a cinema.
There are 15 seats in each row.
A film was shown in the cinema on Saturday,
Each ticket for the film cost £6.50
The tickets that were sold cost a total of £1274
How many tickets were not sold?
Answer:
24 tickets were not sold
Step-by-step explanation:
Here, we want to get the number of unsold tickets
In each row, there are 15 seats
In the Cinema, there are 14 rows
The total number of seats is thus;
15 * 14 = 220 seats
If all the 220 seats were booked, the total amount of ticket sales would have been;
220 * 6.5 = £1430
But in this case, the amount generated is £1,274
Hence, the difference in these amounts will be;
1430 - 1274 = £156
To get the number of tickets unsold, we have to divide the amount here by the price per unit ticket
Mathematically, we have this as;
£156/£6.5 = 24
Simplify
[tex] \frac{ {4}^{2} }{16} [/tex]
Answer: 1
Step-by-step explanation:
[tex]\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1[/tex]
A bag contains n counters.
One counter is blue and the rest are red.
cla
-1
Two counters are taken at random from the bag.
a) Express, in forms of n, the probability that a counter of cach colour is taken.
Give your answer as a fraction in its simplest form.
Answer:
favourable outcomes /total outcomes
put ur question in the above formula
I'll get ur ans
A very exclusive college accepts approximately 2 students out of 5 applicants. If there were 250 total applicants, how many students were not accepted?
150
155
200
100
Answer:
100
Step-by-step explanation:
Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes.
What time did jacks family leave?
Answer:
6:20 PM
Step-by-step explanation:
They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.
Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49?
Answer:
Jake does have enough to buy a dog bone that cost $1.49
Step-by-step explanation:
6 quarters = $1.50
2 dimes = $0.20
1 nickel = $0.05
So add it all together: $1.50 + $0.20 + $0.05 = $1.75
is -8+(-9) a negative integer or positive
Answer:
Negative Integer
Step-by-step explanation:
-8 + (-9) can be rewritten as -8 - 9, which is -17.
Since -17 is a negative number, it is a negative integer
Hope this helps!
Solve for the variable shown. Round answers to the nearest hundredth if needed.
Answer and Step-by-step explanation:
Question 4:
We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.
[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]
Question 5:
We need to use the sine trig function, which is opposite divided by hypotenuse.
[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]
#teamtrees #WAP (Water And Plant)
Which is a fourth degree trinomial with a leading coefficient of 3?
A) x2 – 3x4 + 13x
B) 3x4 – 8x3 = x + 2
C) 3x3 – x2 =12
D) x - x2 + 3x4
Answer:
B.
Step-by-step explanation:
A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].
What is a trinomial?A trinomial in elementary algebra is a polynomial made up of three terms, or monomials.An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z is x + y + z.A trinomial in one variable, 2a² + 5a + 7, exists.So, we know that a trinomial is made up of 3 terms.
4th-degree trinomial means that it has a power of 4.And with a coefficient of 3.So, such expression is: 3x⁴ - 8x³ = x + 2
Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].
Know more about trinomials here:
https://brainly.com/question/27020215
#SPJ2
find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)
Answer: can you please set this up differently?????
Step-by-step explanation:
Pls help fast !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] \frac{2}{3} [/tex]
Step-by-step explanation:
⅓×2
When multiplied by 2 will be;
[tex] \frac{1}{3} \times \frac{2}{1} [/tex]
So you 2×1=2
3×1 is equal to 3
So the final answer will be;
[tex] \frac{2}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
1/3 × 2/1
1 × 2/ 3× 1
= 2/3
hope it helps!
Original: 12 for $9.12
New Deal: 9 for
Answer:
6.84
Step-by-step explanation:
POSSIBLE POINTS
The Simpson's had the "Semi Scooper Sundae" with 10 scoops of icecream and 6 cherries. Homer yelled, "I want more!"
The Super Scooper Sundae had 15 scoops of icecream and 9 cherries
Is the ratio equivalent? Choose Yes or No.
SINASS
Answer:
Bot ratios are equivalent? YES
Step-by-step explanation:
The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:
[tex]\frac{6}{10}[/tex]
Simplifying:
[tex]\frac{6}{10}=\frac{3}{5}[/tex]
Ratio= 3:5
The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:
[tex]\frac{9}{15}[/tex]
Simplifying:
Ratio= 3:5
Bot ratios are equivalent? YES
Someone help me please!!!
What ordered pair is the solution of x-y=-3 2x+y=0
A. (-3,0)
B. (1,4)
C. (0,0)
D. (-1,2)
Answer:
D
Step-by-step explanation:
2x+5x=60
Definition of arithemtic sequence
Did yall watch Cobra Kai yet?
Answer:
I watched cobra Kai and loved it. Still waiting on Netflix new season. Watched to where Miyagi-do and Eagle Fang members joined up. So wonderful that Demetrius and Hawk made up.
Step-by-step explanation:
Hope this helps.
Answer:
Yes i have watched the show.
Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distance from Lanya's home to the store?
Answer:
Option A: 4 units is the correct answer.
Step-by-step explanation:
Given that:
Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])
Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])
We can find distance between two points by using distance formula.
S = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The points can also be written as;
House (8/3, 22/3)
Store (-4/3, 22/3)
Putting values in the formula.
S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]
S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]
S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]
S = [tex]\sqrt{(\frac{12}{4})^2[/tex]
S = [tex]\sqrt{(4)^2[/tex]
S = 4 units
Hence,
Option A: 4 units is the correct answer.
Let A and B be two events. The probability that event B occurs is 0.72. The probability that events B and A both occur is 0.24.
What is the probability that event A occurs, given that event B has occurred?
A. 0.17
B. 0.33
C. 0.48
D. 0.67
Answer:C
Step-by-step explanation:
How does the President interact with the judicial branch of government?
Answer:
The President nominates people for appointment as Federal Judges. The nominees are approved by the Senate, but the President picks the nominees. Federal Judges are appointed for life but can be impeached
Step-by-step explanation:
The price of strawberries varies directly with the weight of the strawberries purchased. Two pounds of strawberries cost $6.
What is the cost of 7 pounds of strawberries?
Answer:
$21
Step-by-step explanation:
2Lbs. = $6
(2/2) = (6/2)
1Lbs. = $3
(1*7) = (3*7)
7Lbs = $21
Since strawberries are priced on weight, you first need to find the weight of one pound. The prices need to be proportional, so whatever you do to one side of the equal sign, you need to do to the other. Divide both numbers by 2. One pound costs three dollars. Then multiply both numbers by 7. Seven pounds of strawberries cost twenty-one dollars