Answer:
a is correct option......
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
Consider this polynomial, where a is an unknown real number.
p(t) = x^4 +5x^3 + ax^2 - 3x + 11
The remainder of the quotient of P(x), and (x+ 1) is 17.
Braulio uses synthetic division to find the value of a, and Zahra uses the remainder theorem to find the value of a.
Answer:
Brauilo is wrong because he divided by (x+1) instead of (x-1)
Step-by-step explanation:
The remainder Theorem states that
if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as
which is why we divide by -1, or subsitue -1 into the equation p(x).
The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.
The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)
From the question, we have the following parameters:
[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]
[tex]\mathbf{Divisor =x+ 1}[/tex]
[tex]\mathbf{Remainder = 17}[/tex]
First, we set the divisor to 0.
[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]
So, we have:
[tex]\mathbf{x+ 1 = 0}[/tex]
Solve for x
[tex]\mathbf{x= -1}[/tex]
The above equation means that, the value of x that will be used to test the polynomial is -1
From the question,
Zahra used [tex]\mathbf{x= -1}[/tex]; this is represented as: P(-1)Braulio used [tex]\mathbf{x= 1}[/tex]; this is represented in the synthetic divisionHence, Braulio is incorrect, because he used the wrong value of x
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
B or A
Step-by-step explanation:
got it right on a test a year ago
(is probably B though.)
a) 7°
c) 26°
b) 64°
d) 83°
Answer:
x = 26
Step-by-step explanation:
sin x =4/9
Take the inverse sin of each side
sin ^-1 (sin x) = sin^-1(4/9)
x=26.38779
To the nearest degree
x = 26
Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)
Answer:
The vertex is at (2,1)
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex
f(x) = 3(x - 2)^2 + 1.
The vertex is at (2,1)
A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.
____feet squared
Find the five-number summary for the data. {231, 201, 221, 210, 225, 228, 212, 236, 225, 201, 216, 215, 231, 226, 206, 240}
Answer:
201, 206, 216, 228, 240
Step-by-step explanation:
ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.
1.) 2√13
2.) √58
3.) 4√3
4.) 2√3
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BC^2=AB^2+AC^2[/tex]
[tex]\\ \sf\longmapsto BC^2=7^2+3^2[/tex]
[tex]\\ \sf\longmapsto BC^2=49+9[/tex]
[tex]\\ \sf\longmapsto BC^2=58[/tex]
[tex]\\ \sf\longmapsto BC=\sqrt{58}[/tex]
Please help me to solve this problem of ordered pairs. The value of x and y should be find.
Answer:
x=y=-2
Step-by-step explanation:
Comparing these ordered pairs, we will get
4^(1/x)=1/2 and 9^(1/y)=1/3
x=-2 and y=-2
Answer:
x = y = - 2
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]
Since the bases on both sides are equal, both 2 , then equate exponents
[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )
2 = - x , that is
x = - 2
Similarly
[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]
[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]
Equating the exponents gives
[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?
Answer:
12,24 etc
Step-by-step explanation:
4 and 6 both go into 12 evenly
4*3 = 12
6*2 = 12
12 is the least common denominator
We could also use 24
4*6 = 24
It is a common denominator, but not the least common denominator
We can use any multiple of 12
Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
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help me, asap, please
answer is 19
the explanation is in the attachment
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD?
Answer:
[tex]\angle CFD =105^o[/tex]
Step-by-step explanation:
Given
[tex]\angle D FE = \angle DE F = 75^o[/tex]
See attachment
Required
Determine the measure of [tex]\angle CFD[/tex]
[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.
So:
[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line
Substitute known values
[tex]\angle CFD + 75^o = 180^o[/tex]
Collect like terms
[tex]\angle CFD =- 75^o + 180^o[/tex]
[tex]\angle CFD =105^o[/tex]
I need help ASAP!!!Only people that know the answer is right thanks
Answer:
700mi cube
Step-by-step explanation:
10x7x10=700mi cube
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
find the value of m if 3m/5+m/2=4/1+2/5
Answer: m = 3.89
Step-by-step explanation:
(3m/5)+(m/2) =(4/1)+(2/5)
= (taking LCM) (6m+5m)/10 = (20+1)/5
or, 11m/10 = 21/5
or, 55m = 210
or, m = 210/55
so, m = 3.89
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
given m||n, find the value of x and y
Answer:
x = 145, y = 35
Brainliest, please!
Step-by-step explanation:
y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.
x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145
Simplify (-63) ÷ (-9)
Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 63 and 9 is 9
Divide both the numerator and denominator by the GCD
63 ÷ 9
9 ÷ 9
Reduced fraction:
7/1
Therefore, 63/9 simplified to lowest terms is 7/1.
Step-by-step explanation:
what represents the distance traveled and time spent traveling
Answer:
b) y
Step-by-step explanation:
joannes speed = 250/2.5 =100km/h
francois speed = 100-10 = 90km/h
after 5h, francois would have travelled 450
I just need the numbers anyone help ?
Answer:
See below & pic.
Step-by-step explanation:
Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.
Find the place value of 3 in 3546.
Answer:
that is the thousands place value.
the place value of 3 in 3546.= 3000
What is the slope of the line whose equation is y = –2x – 5?
Answer:
Slope = -2
Step-by-step explanation:
The coefficient next to x is indicative of the equation's slope.
Answer:
slope = gradient
straight line equation is y = mx + c
where m is gradient therefore answer is -2
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
5×12÷[-12÷{15+(4-13)}]
Answer:
=5×12÷[-12÷{15+(-9)}]
=5×12÷[-12÷6]
=5×12÷(-2)
=-30
Step-by-step explanation:
What is the quotient of es031-1?
Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
(solving rate problems). Michelle can
complete a
landscaping job in 6
days and Danielle
can complete the
same job in 4 days.
Working together, in
how many days
could they complete
the job
They could complete the job together in 2.4 days
The known parameters are;
The number of days it would take Michelle to complete the landscaping job = 6 days
The number of days it would take Danielle to complete the landscaping job = 4 days
The unknown parameter;
The number of days can the job be completed if they work together
The process of finding the solution;
The rate at which Michelle works = 1/6 of the landscaping work per day
The rate at which Danielle works = 1/4 of the landscaping work per day
Method;
Find their combined work rate, from which the time would take them to complete the job together can be found
Let, C, represent their combined work rate
Therefore, we have;
C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day
The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days
∴ The number of days they could complete the job together = 2.4 days.
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Determine the equation of a perpendicular line to x=-2
Answer:
+1/2
Step-by-step explanation:
its the negative reciprocal
HELP
Chelsea can paint a fence in 9 hours, and Greg can paint the same fence in 7 hours. How long does it take them to paint the fence if they work together? Round to
the nearest tenth
Step-by-step explanation:
since Chelsea can paint in 9hrs and Greg in 7, add the hrs and divide by 2 i.e (9+7)/2 =8 hrs
~10 hrs
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