Answer:
1. (x + 4)(9x + 6)
2. (3x + 6)(3x + 4)
3. (9x + 4)(x + 6)
Step-by-step explanation:
9x² + 42x + 24
9x² + 36x + 6x + 24
9x(x + 4) + 6(x + 4)
(x + 4)(9x + 6)
9x² + 30x + 24
9x² + 12x + 18x + 24
3x(3x + 4) + 6(3x + 4)
(3x + 4)(3x + 6)
9x² + 58x + 24
9x² + 54x + 4x + 24
9x(x + 6) + 4(x + 6)
(9x + 4)(x + 6)
Plz I need answer ASAP
Answer:
a³ - 5a² + 4a + 5
Step-by-step explanation:
To solve this, remove the parentheses. If you were subtracting the two phrases, you would distribute the negative sign to the second phrase, but you are adding so you will not have to do this
4a - a³ - 3 + 2a³ - 5a² + 8
a³ - 5a² + 4a + 5
Write the coordinates of one point that lies in the
third quadrant of the coordinate plane?
(Sorry at home learning isn't easy in 6th grade)
Answer:
Example Quadrant 3 coordinate value (-2, -2)
Step-by-step explanation:
Coordinates are written (x, y)
Quadrant 1: both x and y are positive values. Example (2, 2)
Quadrant 2: x is negative and y is positive. Example (-2, 2)
Quadrant 3: both x and y are negative values. Example (-2, -2)
Quadrant 4: x is positive and y is negative. Example (2, -2)
For the following sequence, state if its arithmetic, geometric or neither -4, 12, -36, 108, -324...
Explain why.
Answer:
It's geometric
Step-by-step explanation:
You multiply each term by "-3," so the common ratio is -3, making the sequence geometric.
A new laptop computer costs $800. The sales tax on the computer is $48. What is the PERCENT of the sales tax?
Answer:
6% sales tax
Step-by-step explanation:
48 / 800 = x / 100
What did you do to turn 800 into 100? Divide by 8.
Since we divided the denominator by 8, we also divide the numerator by 8.
48 / 8 = 6
6% sales tax
Final answer:
The percent of the sales tax on an $800 laptop computer with a $48 sales tax is 6%. This is found by dividing the sales tax by the cost of the computer and then multiplying by 100.
Explanation:
To calculate the percent of the sales tax for the laptop computer, you need to follow these steps:
Convert the sales tax amount to a decimal by dividing the sales tax by the cost of the item before tax.
For example: $48 (sales tax) ÷ $800 (cost of the laptop) = 0.06.
Then, convert the decimal to a percentage by multiplying it by 100.
Continuing the example: 0.06 × 100 = 6%.
Therefore, the sales tax rate for the laptop computer is 6%.
I need help? With proof for this one.
Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
Can someone please find the volume of this shape?
A) 1224 m^3
B) 2160 m^3
C) 6480 m^3
D) 2851 m^3
We have been an image of a triangular pyramid. We are asked to find the volume of the given pyramid.
We know that volume of triangular pyramid is [tex]\frac{1}{3}b\cdot h[/tex], where,
b = Base area,
h = Height of pyramid.
We can see that base of pyramid a right triangle.
[tex]\text{Area of triangle}=\frac{1}{2}\times\text{Base}\times\text{Height}[/tex]
Now we will find height of base triangle using Pythagoras theorem.
[tex]h^2=30^2-24^2[/tex]
[tex]h^2=900-576[/tex]
[tex]h^2=324[/tex]
[tex]\sqrt{h^2}=\sqrt{324}[/tex]
[tex]h=18[/tex]
[tex]\text{Area of base triangle}=\frac{1}{2}\times24\times 18[/tex]
[tex]\text{Area of base triangle}=12\times 18[/tex]
[tex]\text{Area of base triangle}=216[/tex]
[tex]\text{Volume of triangular prism}=\frac{1}{3}b\cdot h[/tex]
[tex]\text{Volume of triangular prism}=\frac{1}{3}\cdot 216\cdot 30[/tex]
[tex]\text{Volume of triangular prism}=216\cdot 10[/tex]
[tex]\text{Volume of triangular prism}=2160[/tex]
Therefore, the volume of the given prism is [tex]2160\text{ m}^3[/tex] and option B is the correct choice.
Answer:
its B
Step-by-step explanation:
What is the value of sin 0 in the diagram below
Answer:
Please include the diagram
Step-by-step explanation:
Answer:
The answer is 24/25
Step-by-step explanation:
Sin (angle) = Opposite leg / Adjacent Leg
Sin (angle) = Y / r
Sin (angle) = 24/25 / 1 = 24/25
The answer is 24/25
Hope this helps
What is the circumference of the sun?
Answer:
2.720984 million miles
Step-by-step explanation:
An icicle drips at a rate that can be represented by the function f(x) = −x2 + 9x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.
x = −3 and x = 6
x = 3 and x = −6
x = 3 and x = 6
x = −3 and x = −6
Answer: x=3 and x=6
Step-by-step explanation:
Put the first equation in math-way and find the roots/zeros
An icicle drips at a rate that can be represented by the function
[tex]f(x) = -x^2 + 9x - 18[/tex], where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. So, The solution are x = 3 and x = 6.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
An icicle drips at a rate that can be represented by the function
[tex]f(x) = -x^2 + 9x - 18[/tex],
where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen.
First, we have to find its solution since it is a quadratic function;
[tex]f(x) = -x^2 + 9x - 18\\\\f(x) = -x^2 + 3x+ 6x - 18\\\\f(x) = x (3-x) - 6(3-x)\\\\f(x) = (3-x)(x-6)[/tex]
So, The solution are x = 3 and x = 6.
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GIVING BRAINLIEST ANSWER QUICK!!
Fala is painting the stairs on her deck. she has 6/4 quarts of paint. She needs 4/8 quart of paint for each stair-step.
Fala can paint ______ one whole step.
Fala can paint exactly ______ step(s) with the paint she has.
Answer:
1. Fala can paint more than one whole step
2. She can paint 3 steps
Step-by-step explanation:
1. In the second question we found that she has enough for 3 steps and 3 is more than 1 so she can paint more than one step
2. 6/4=12/8 so she has 12/8 quarts and needs 4/8 for each step
Divide 12 by 4 = 3 So she has enough paint for 3 steps
Answer: more than,3
Step-by-step explanation:
Which comparison is correct?
|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4
Answer:
-5 < - 4 is correct
Step-by-step explanation:
I5I > 7 is wrong because I5I < 7
7 < I7I is wrong . 7 = I7I
I-3I > I-4I is wrong because absolute value is always positive.
So I-3I < I-4I
Answer:
5<-4
Step-by-step explanation:
Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)
Answer:
3x+2y=34
Step-by-step explanation:
L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3
L2 perpendicular to L1 => m2= -1/m1= -3/2
the point A(8,5) ∈ L2
=> y–yA=m2(x–xA)
L2: y-5=-3/2 *(x-8)
L2: 2y-10=-3x+24
L2: 3x+2y=34
A water tank holds 621 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 828 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
69 weeks
Step-by-step explanation:
Let the number of weeks be x.
The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:
621 - 4x
The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:
828 - 7x
After a certain amount of weeks, the amount of water in both tanks is the same. That means that:
621 - 4x = 828 - 7x
=> 7x - 4x = 828 - 621
3x = 207
x = 207 / 3 = 69
This means that the amount of water in the tank will be the same after 69 weeks.
PLEASE HELP!!! (will give brainliest for best answer)
a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
(image below)
Answer:
90 squared is 8,100, and 120 squared is 14,400. So to figure out what c is you do 90^2 + 120^2 = Square Root of 22,500 which is 150.
So c = 150
Step-by-step explanation:
So C=150
hope this helps :D
By using the Pythagorean theorem, we will see that side C measures 150ft.
How to get the length of side C?
We can see that side C is the hypotenuse of a right triangle. We know both catheti of said triangle, then we can use the Pythagorean theorem.
It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we have:
A^2 + B^2 = C^2
We know that:
A = 90ft
B = 120ft
Replacing that we get:
√((90ft)^2 + (120ft)^2) = C = 150ft
Then we conclude that side C measures 150ft.
If you want to learn more about right triangles, you can read:
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WILL MARK BRAINLIEST PLSSS HELP
Choose each angle to complete the linear pairs.
∠AMY and ∠AMX
∠BMY and
∠BMX and
∠AMX and
Answer:
AMY, BMY, BMX
Step-by-step explanation:
its right
Answer:
the second , the second and the first . ( B,B,A)
Step-by-step explanation:
I really need help!!!!!!
Answer:
D) $0.15
Step-by-step explanation:
If you do 0.15 times 40 messages, you get $6
What angle is included by AC and BC?
A.
B.
C.
Answer:
B is the answer to this question due to the angle being a 90 degree angle
MARK BRAINLIEST!!!!!!!!!!!!!!! pls answer soon, this is due today !!!!!
The yearly profits of a company are $25,000. The profits have been decreasing by 6% per year.
Write an exponential decay function to represent this situation.
Which point lies on the line x-5 =0
Answer:
see explanation
Step-by-step explanation:
Any point with an x- coordinate of 5 will lie on the line, that is
(5 , - 2), (5, 0), (5, 10)
since 5 - 5 = 0 makes the equation true
Which answer choice shows the decimals in order from greatest to least?
A. 0.013, 0.0104, 0.0118, 0.0108, 0.00149
B. 0.00149, 0.0104, 0.0108, 0.0118, 0.013
C. 0.013, 0.0118, 0.0108, 0.0104, 0.00149
D. 0.013. 0.0118. 0.0108. 0.00149. 0.0104
Answer:
B.) 0.00149, 0.0104, 0.0108, 0.0118, 0.013
Step-by-step explanation:
The more decimal places, the lower the number.
what is 8/3 times 12/5
Answer: 6.4 In decimal form. 32/5 in fraction form.
Step-by-step explanation:
So first times 8 by 12 which is 96
then, 3 times 5 which is 15
Simplify to 32/5
Answer: 32/5
Step-by-step explanation: When multiplying two fractions together, remember that we can cross-cancel.
In this problem the 12 and 3 reduce to 4 and 1.
So we have 8/1 · 4/5.
Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 32/5.
Adrian can purchase a 10-pound item from several different sellers. Which is the best buy?
PLEASE HELP ME
A) Buy online for $50 plus pay shipping costs of $1 per pound.
B) Buy online for $47 plus pay shipping costs $2 per pound.
C) Buy at a local store for $60 and use a $5-off coupon.
Answer:
the answer is c because i answered it on a test and got it right
Step-by-step explanation:
what is the circumference of a circle with a 12cm diameter?
Answer:
37.7cm
Step-by-step explanation:
Answer:[tex]12\pi[/tex]
[tex]12\pi[/tex]
Step-by-step explanation:
The formula is: [tex]C= 2\pi r[/tex]
Diameter is the same has 2r, r being the radius.
To help remember: Cherry Pies ([tex]\pi[/tex]) Are (r) Too.
Simplify the expression. −5x + 8y + 2x − 3y
Final answer:
To simplify the expression −5x + 8y + 2x − 3y, combine like terms, resulting in −3x + 5y.
Explanation:
To simplify the expression −5x + 8y + 2x − 3y, you want to combine like terms. The like terms are those with the same variable raised to the same power. In this expression, −5x and 2x are like terms, as are 8y and −3y.
Combine −5x and 2x: (−5 + 2)x = −3x
Combine 8y and −3y: (8 − 3)y = 5y
After combining like terms, the simplified expression is −3x + 5y.
The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by
P(x) = -2(2-3)(x - 11)
What would be the company's profit if the app price is 0 dollars?
Answer:
0 dollars
Step-by-step explanation:
A political action committee is interested in finding out what proportion of voters will
support an environmental initiative. Obtain a sample size that will ensure a margin of
error of at most 0.09 for a 95% confidence interval. Similar initiatives in the past have
gotten 93% support.
Answer:
[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]
And rounded up we have that n=31
Step-by-step explanation:
First we need to find the critical value for the margin of error desired. The confidence level is 0.95 so then the significance is [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:
[tex] z_{\alpha/2} =\pm 1.96[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.09[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
The estimated proportion for this case is [tex]\hat p =0.93[/tex]. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]
And rounded up we have that n=31
Geno signed up for a text messaging plan. He pays a $5.00 monthly fee and $0.04 per text message.
Which expression can Geno use to find the cost for one month if he used n messages?
A: 0.02
B: 5.041
C: 0.04r + 5.00
D: 5.00n +0.04
Answer:
The correct answer is [C.) 0.04r + 5.00}
Step-by-step explanation:
hope this hlps
Solve the riddle.
Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8.
StartFraction x Over 4 EndFraction + 6 = StartFraction x Over 8 EndFraction + 8
How old is my dog?
Answer:
16 years old
Step-by-step explanation:
got it right on edge 2020.
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Please say thank you.
Combine the like terms to create an equivalent expression:
-4q-(-8q)+10
What is the measure of ZDBE?
O A. 170°
OB. 85°
O c. 40°
O D. 130
Answer:
Your answer is A!
Step-by-step explanation:
Have a great day!
The measure of ∠ABC is 85 degrees from intersecting chords theorem.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
We have to find the measure of ∠ABC.
The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
∠ABC = 1/2 (130+40)
∠ABC = 1/2(170)
Divide 170 by 2
∠ABC = 85 degrees.
Hence, the measure of ∠ABC is 85 degrees from intersecting chords theorem.
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