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Substitute the x and y values in:
p^2 + 3p - 5(2) = 0
p^2 + 3p - 10 = 0
Factorise this:
(p - 2)(p + 5)
p = 2
p = -5
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what is the answer of simplify 9^2/9^7
Answer:
0.00001693508
Answer:
Step-by-step explanation:
9^2/9^7= 1/9^(7-2) = 1/9^5
Find the surface area of the composite solid. Write your answer as a decimal.
Answer:
283.5 cm squared
Step-by-step explanation:
The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.
3 congruent triangles:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of one triangle is 10 and the height is 4. So:
A = (1/2) * b * h
A = (1/2) * 10 * 4 = 20
Since there are 3 such triangles, multiply 20 by 3:
20 * 3 = 60 cm squared
3 congruent rectangles:
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.
Here, the length is 6 and the width is 10, so:
A = lw
A = 6 * 10 = 60
There are 3 such rectangles, so multiply 60 by 3:
60 * 3 = 180 cm squared
1 base triangle:
Again we use the formula A = (1/2) * b * h for this area.
Here, the base is 10 and the height is 8.7, so:
A = (1/2) * b * h
A = (1/2) * 10 * 8.7 = 43.5 cm squared
Add all these together:
60 + 180 + 43.5 = 283.5 cm squared
The answer is thus 283.5 cm squared.
Answer:
283.5 cm²
Step-by-step explanation:
3 rectangles + 3 triangles on top + triangular base
3(10×6) + 3(½×10×4) + (½×10×8.7)
180 + 60 × 43.5
283.5 cm²
Consider the word grateful. If all of the letters are used, how many ways can the letters he arranged?
Answer:
Step-by-step explanation:
gratefulgrategulfratetareartagrateraggeteataleatelegrugteafategategaegul (idk about his one. it is a scrabble word tho)leateraAnswer:
40320
Step-by-step explanation:
All you have to is take 8 times 7 times 6 times 5 times 4 times 3 times 2 times 1 and you get 40320
What is the surface area of a cylinder? Express the answer in term of x
D=8cm h=18cm
Answer:
the surface area is 552.92
Step-by-step explanation:
Answer:
[tex]552.92 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
2
π
r
h
+
2
π
{r}^{2}
\\
=
2
·
π
·
4
·
18
+
2
·
π
·
{4}^{2}
\\
≈
552.92031
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
18x= -252 PLEASE HELP!!!!
Answer:
x = - 14
Step-by-step explanation:
18x = -252
18x/18 = - 252/18
x = - 14
Answer:
[tex]=-14[/tex]
Step-by-step explanation:
[tex]18x=-252\\\mathrm{Divide\:both\:sides\:by\:}18\\\frac{18x}{18}=\frac{-252}{18}\\Simplify\\\frac{18x}{18}=\frac{-252}{18}\\\mathrm{Simplify\:}\frac{18x}{18}:\quad x\\\frac{18x}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{18}{18}=1\\=x\\\mathrm{Simplify\:}\frac{-252}{18}:\quad -14\\\frac{-252}{18}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{252}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{252}{18}=14\\=-14[/tex]
There are 3 white counters and 2 black counters in a bag . I take one of the counters out at random . Put a cross on the probability scale to show the probability that I have chosen one of the white counters
Answer:
3/5
Step-by-step explanation:
There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.
hope this helps
4. At the ACME store you buylrubber chickens for $15, they are originally
$20. What percent of the total did you pay for the rubber chickens? *
Answer:
75 percent
Step-by-step explanation:
.75 times 20 =15 therefore it is .75 or 75%
What is the equation for this parabola (located above) in vertex form?
Answer:
f(x)=x²-2x-2
Step-by-step explanation:
f(x)=ax²+bx+c
f(0)=-2 => c= -2
f(1)= -3=> a+b-2=-3; a+b=-1
f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0
a+b=-1 and 2a+b=0
2a+b-(a+b)=0+1=> a=1
2+b=0=> b=-2
f(x)=x²-2x-2
Can someone help me with this work
Step-by-step explanation:
1) x - 1 = - 11
x = - 11 + 1
x = - 10
2) 9k = 54
k = 54/9
k = 6
3) 14 + r = 16
r = 16 - 14
r = 2
Answer:
X= -10
K= 6
R= 2
Step-by-step explanation:
You first want to isolate the variable and make sure that whatever you do to one side of an inequality or equation you must do to the other.
Jake practiced piano for 36 minutes. Betty practiced for 7 times as long as Jake. How many minutes did Betty practice? How many minutes in all did Jake and Betty practice? Write an equation to model your work.
Answer:
Step-by-step explanation:
How many minutes did Betty practice?:
36 x 7=252
How many minutes in all did Jake and Betty practice?:
252+36=288
Equation:
1:7
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.
Therefore, Betty practiced for:
36 × 7 minutes
= 252 minutes.
The total time of practice is:
252 + 36
= 288 minutes.
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ5
Elena wants to build a one-sample z interval to estimate what proportion of computers produced at a
factory have a certain defect. She chooses a confidence level of 94%. A random sample of 200 computers
shows that 12 computers have the defect
What critical value z' should Elena use to construct this confidence interval?
Answer:
Z = 1.88
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
94% confidence level
So [tex]\alpha = 0.06[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.06}{2} = 0.97[/tex], so [tex]Z = 1.88[/tex].
The critical z-value elena should use to construct the given confidence interval is; 1.88
We are given;
Confidence level = 94%Sample proportion; p^ = 12/200 = 0.06Sample size; n = 200Formula for confidence intervals of proportion is;
CI = p^ ± z√(p^(1 - p^)/n)
Since we are given Confidence level of 94%, the significance level is;
α = 100% - 94%
α = 0.06
The the z-score will be at the p-value of 1 - α/2
P-value = 1 - (0.06/2) = 0.97
From online p-value from z-score calculator, we have; z-score = 1.88
Read more about confidence intervals at; https://brainly.com/question/16236451
The quadratic equation y=-0.5x+4x+10 models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. When will the ball hit the ground?
We have been given that the quadratic equation [tex]y=-0.5x^2+4x+10[/tex] models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. We are asked to find the time when ball will hit the ground.
The ball will hit the ground, when height of ball above ground will be 0. So we will equate our given quadratic equation with 0 and solve for x.
[tex]-0.5x^2+4x+10=0[/tex]
We will use quadratic formula to solve our given problem.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where
b = Coefficient of x term,
a = Coefficient of [tex]x^2[/tex] term,
c = Constant.
[tex]x=\frac{-4\pm\sqrt{(-4)^2-4(-0.5)(10)}}{2(-0.5)}[/tex]
[tex]x=\frac{-4\pm\sqrt{(16+20}}{-1}[/tex]
[tex]x=\frac{-4\pm\sqrt{36}}{-1}[/tex]
[tex]x=\frac{-4\pm6}{-1}[/tex]
[tex]x=\frac{-4+6}{-1}, x=\frac{-4-6}{-1}[/tex]
[tex]x=\frac{2}{-1}, x=\frac{-10}{-1}[/tex]
[tex]x=-2,x=10[/tex]
Since time cannot be negative, therefore, the ball will hit the ground after 10 seconds.
solve the inequality 5x + 3 ≥ 48
Answer:
x=9
Step-by-step explanation:
48-3=45
5x=45
45/5=9
The value of x in the given inequality will be equal or smaller than 9,
x ≤ 9
What is an inequality ?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality 5x + 3 ≥ 48
Solving for x,
5x + 3 ≥ 48
Subtract 3 from both side, that will reverse the sign,
5x ≤ 45
Divide both sides by 5,
x ≤ 9
Hence, the value of x will be equal or smaller than 9, x ≤ 9
Learn more about inequality, click;
https://brainly.com/question/30231190
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What is the best way to solve this?
Answer:
20+20+20=60
20+5+5=30
5-2=3
1+(20*5)=100+1=101
Step-by-step explanation:
Hope it helps :)
Answer:
you do order of operations
Step-by-step explanation:
Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
yes, 1.5
Step-by-step explanation:
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ. And the ratio is 2: 1. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides are given as,
RP / AV = PQ / AQ
6 / 3 = 8 / 4
2 = 2
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ.
Thus, the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ6
The complete question is given below.
Are the triangles similar? If so, what is the scale factor of ΔRPQ to ΔVAQ?
A)NO
B)YES; 2:1
C)YES; 2:3
D)YES; 3:4
Alicia gave her friend 6 stamps. She then had 28 stamps left. How many stamps did she have to start?
Answer:
34 stamps
Step-by-step explanation:
Add 6 to 28,
28 + 6 = 34
Answer:
34
Step-by-step explanation:
6 + 28 = 34
Alicia had 34 to start.
I need help please find answers for both of them worth 15 points
Answer:
Volume = 9900 ft2
Step-by-step explanation:
To find the volume of the pool, we can use the base as the trapezoid, and then we need to calculate the base area and multiply by the height.
The trapezoid has a bigger base of 8 and a smaller base of 3, with a height of 60, so the area is:
Area = (8+3)*60/2 = 330 ft2
Now, to find the volume, we just need to multiply the base area by the height of 30 feet:
Volume = Area * Height = 330 * 30 = 9900 ft2
If the Area of a Triangle is 24 inches squared, and the Base measures 4 inches, what must be the height?
Answer:
12 inches tall. Remember the conversion equations!!!!
Step-by-step explanation:
H = 1/2 Base divided by Area
1/2 of 4 = 2 (2/4 = 2)
2 ÷ 24 = 12
solve for x x^2 -4x +3 =0
answer
1 or 3
explaination
[tex] {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3[/tex]
You roll a fair 6-sided die.
What is P(roll less than 4)?
If necessary, round your answer to 2 decimal places.
Answer:
1/2
Step-by-step explanation:
there are 3 numbers on the dice less than six and 3 of six is 1/2
Find the measures of two angels one positive and one negative that are coterminal with pie-7
Answer:
15pi/7 - 13 pi/7
Step-by-step explanation:
to find a positive and negative coterminal angle
● add and subtract 2pi to the given angle
pi/7+2pi=pi/7+14pi/7=15pi/7 positive
pi/7-2pi=pi/7-14pi/7= -13pi/7 negative
Which of the following statements is true about a regular octagon?
A. The sum of the figure’s interior angles is 540
B. The sum of the figure’s exterior angles is 720.
C. The measure of each of the figure’s interior angles is 135
D. The figure has 12 lines of symmetry.
Answer:
The answer is C. An octogon has a sum of interior angles of 1080 degrees. 1080/8 = 135 degrees.
Answer:
A:the sum of figure interior angles is 540
Step-by-step explanation:
[(-5)-{9/(-3)}^3].(-6)+(-6)
Answer:
[tex][(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22[/tex]
Step-by-step explanation:
[tex][\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)[/tex]
Remove parenthesis: [tex](-a)=-a[/tex]
[tex]=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6[/tex]
[tex][-5-\frac{9}{\left(-3\right)^3}]*6 = -28[/tex]
[tex]= - (-28) - 6[/tex]
Apply rule: [tex]- (-a) = a[/tex]
[tex]= 28 - 6[/tex]
Subtract the numbers: [tex]28 - 6 = 22[/tex]
Final answer:
[tex]= 22[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
What is the circumference of a circle with a diameter of 4.2 cm?
Answer:
it would be C≈13.19cm
hope this helps :)
Wendy is concentrating a sample by distillation. She started with 140 mi of a solution that was about 0.07% inorganic salts. After several hours of distillation, the amount of inorganic salts hasn't changed ,but the volume has decreased to 48 ml. What percent of the solution after distillation is in organic salts?
What are the first digits of PI
Answer:
3.14
Step-by-step explanation:
Answer:
Here's the first 200 digits of pi 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819
Step-by-step explanation:
Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5, −2), find the line of reflection. NEED ASAP WILL CROWN BRAINLIEST
Yeah so I need to know x
Answer:
150°
Step-by-step explanation:
It's opposite angles so we need to do:
Angle F to B = angle G to A
130+20 = 150°
Is it possible to draw the triangles described?
Answer by writing possible Or impossible.
1.An equilateral triangle with sides measuring 8cm, 9cm and 10 cm,
____________________
2. A scalene triangle with sides measuring 7 in,7in,and 8 in.
__________________
Answer:
Impossible for both
Step-by-step explanation:
Equilateral triangle= all sides equal
Scalene triangle= all sides not equal
Can someone please help me with the relative frequency for FAIL?
Answer:
0.15
Step-by-step explanation:
The relative frequency for FAIL is
The number of times failed occurred/ The number of times the experiment was conducted.
Which is ;
60/400= 0.15
On a side note that relative value of success given is wrong; typo error probably. It should be 0.61
Answer: 0.61
Step-by-step explanation: Mark me as the brainliest