Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
The diameter of a quarter is approximately 2 millimeters. How many quarters would u need to make a two kilometer high pile?
Answer:
The number of quarters required to pile up to 2 km are 1000000.
Step-by-step explanation:
Diameter of each quarter = 2 mm
Total height = 2 km
Number of quarters required is given by
[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]
could someone help im really bad at polynomials
Answer:2x^2 + 7x - 30
Step-by-step explanation:
1. x(2x-3)(x+3)^2
2. x(2x-3)(x+10)
3. 2x^2+10x-3x-30
4. 2x^2+7x-30
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?
Answer:
A total of 51 people prefer biology, 51%
Step-by-step explanation:
Girls: 42
Boys: 58
Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)
Physics: 4 boys and 24 girls(42-[5+13])
Chemistry: 13 girls and 8 boys(21-13=8)
I think this is the answer...
What is a set ? Give an example of a set .
Answer: 24
Step-by-step explanation:
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
3.25
Step-by-step explanation:
the triangle=15+9 8.5=3.25 in answer find x.8 ∆JKL OPTIMIZE 1 UP 3...someone help please!!!!!!!
Answer:
I dont know the answer for this question
someone help me please with this algebra problem
Answer:
D.
Step-by-step explanation:
She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.
Answer: D.
Find the values of x and y. Round your answers to the nearest tenth if necessary,
Answer:
[tex]x=12,\\y=12\sqrt{3}[/tex]
Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,
Therefore, we have:
[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]
Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:
[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]
Answer:
[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]
Step-by-step explanation:
Look at the picture.
We have:
[tex]2a=24\\a=x\\a\sqrt3=y[/tex]
Therefore:
[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]
HELP I AM TIMED. Determine whether the equation is an identity or not an identity.
Answer:
It is not an identityStep-by-step explanation:
There are 10 common trig identities which I am aware of.
Some are in the image attached
The first image is known as b
Basic Identities
The second are known as Trigonometric / Pythagorean Identities .
The third : Co-function identities
and many more.
I'm only allowed to post five images so that's all I have.
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select all that apply
Answer:
option 1
Step-by-step explanation:
I am not sure, what your are asking about.
in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.
so ... ?
when you said DF=20, did you actually mean DE ?
under that assumption
DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).
EF = 17
based on Pythagoras
c² = a² + b²
we have here now
20² = 17² + DF²
400 = 289 + DF²
DF² = 400 - 289 = 111
DF = sqrt(111)
Evaluate the function. Please help! ASAPPP!!!!
Answer:
B
Step-by-step explanation:
p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25
p(5)=1/4(5)+2.5
=5/4+2.5
=1.25+2.5
=3.75
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c
- During the summer, you work 5 hours a day as a lifeguard at a beach and
earn $8 each hour. Use properties of multiplication to find how much
money you earn during a 6-day work week.
Answer:
240 If its wrong pleas correct me
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
Which action taken by a central bank would reflect expansionary monetary policy?
A. Lowering the discount rate to provide more loans to banks
B. Raising the interest that it pays to banks on the balance of their reserves
C. Raising reserve requirements for all banks
D. Selling treasury securities to banks to reduce the money supply
Answer:
b
Step-by-step explanation:
well when raising the intrest on other banks it will cause a effect the money supply. the expansionaty monetary policy revolves around intrest rates. B is the only answer that best explains what im trying to say
The action of lowering the reserve requirements for all banks and sales of treasury securities to banks to help reduce money supply reflect the expansionary monetary policy.
What is expansionary monetary policy?An expansionary monetary policy is an economy policy used to stimulate a declining economy and gross domestic policy.
The 3 expansionary monetary policy includes
lowering of interest rates
lowering of banks reserve requirements
buying of government securities.
Therefore, the action of lowering the reserve requirements for all banks and sales of treasury securities to banks to reduce the money supply reflect the expansionary monetary policy.
Hence, the Option C and D is correct
Read more about expansionary monetary policy;
brainly.com/question/4672250
#SPJ5
What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum
Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]
Solve the equation and enter the value of x below. 7(x + 8) = 84
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence
Answer:
A sample size of 2401 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size would be needed to construct a margin of error of 2% with 95% confidence?
This is M for which n = 0.02.
Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
A sample size of 2401 is needed.
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
[tex]factorise \: \\ \\ r {}^{2} - 10r + 21[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] {r}^{2} - 10r + 21[/tex]
[tex] = {r}^{2} - 7r - 3r + 21[/tex]
Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have
[tex] = r(r - 7) - 3(r - 7)[/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = (r - 7)(r - 3)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Step-by-step explanation:
Your Answer with
Explanation is given in the attachment
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?
Answer:
4 pounds
Step-by-step explanation:
take 20% off the original price. 20(0.20)= 4
So that's a discount of 4 pounds and the sale price is 16 pounds.
The savings is 4 pounds on 1 shirt.
-3x - 3y = 3, -5x + y =13
System of Equations
Answer:
([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-3x-3y=3
-5x+y=13
and we need to find the solution (the point at which the 2 lines intersect)
let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable
in the second equation, add 5x to both sides to isolate y by itself
y=5x+13
now substitute 5x+13 as y in -3x-3y=3
-3x-3(5x+13)=3
do the distributive property
-3x-15x-39=3
combine like terms
-18x-39=3
add 39 to both sides
-18x=42
divide both sides by -18
x=[tex]\frac{-7}{3}[/tex]
now we need to find y
remember: y=5x+13
substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13
y=5([tex]\frac{-7}{3}[/tex])+13
multiply
y=[tex]\frac{-35}{3}[/tex]+13
add
y=[tex]\frac{4}{3}[/tex]
So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Hope this helps! :)
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
got it right
Answer:
y = 4x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-3) / 2 - 0
8 / 2
= 4
y = 4x + b
5 = 4(2) + b
5 = 8 + b
-3 = b
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
Helppppp and explain pls and thankyouu
Answer:
-13 is the answer I think so but wait for others also because my could be wrong
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
please someone help me
Answer:
21.3 cm^2
Step-by-step explanation:
The altitude from vertex A to side BC has length
h = 8 sin 26.4°
h = 3.56
area = bh/2
area = 12 cm * 3.56 cm / 2
area = 21.3 cm^2
Answer:
21.312
Area= (a x b x sin c)/2
or you can use heron's formula (look that one up)
area = (8* 12* sin(26.4))/2 = 21.312
Step-by-step explanation: