Answer:
x = - 2 is not a zero
Step-by-step explanation:
If x = - 2 is a zero of the polynomial then f(- 2) = 0
f(x) = 3x² +4x + 32
f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36
Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial
Suppose that y varies directly with x and inversely with z. If y = 63 when x =
27 and z = 3, find the constant of proportionality.
Answer:
constant of proportionality = 7
Step-by-step explanation:
Let k = constant of proportionality
If y varies directly with x and inversely with z, then [tex]\frac{yz}{x} = k[/tex]
Substitute the values given into the equation and you get [tex]\frac{(63)(3)}{27} = 7 = k[/tex]
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Please answer ASAP
The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.
Answer:
L=65m
W=23m
Step-by-step explanation:
[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]
The length and width of the rectangle are 63m and 25m.
What is a rectangle?A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.
We have,
The perimeter of a rectangle = 176 m
Length of the rectangle = L = 3 x (W- 4 )
Width of the rectangle = W
The perimeter of a rectangle is given by:
176 = 2 ( L + W )
176 = 2 ( 3 ( W - 4 ) + W )
176 = 2 ( 3W - 12 + W )
176 = 2 ( 4W - 12 )
176 = 8W - 24
176 + 24 = 8W
200 = 8W
W = 200 / 8
W = 25 m
Now,
Put W = 25 in L = 3 x ( W - 4 )
L = 3 x ( 25 - 4 )
L = 3 x 21
L = 63 m
We can cross-check:
Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m
Thus the length and width of the rectangle are 63m and 25m.
Learn more about rectangles here:
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Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=
Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
What is the answer to 2/6 + 1/2?
Answer: hey, there
your answer is 5/6
Step-by-step explanation:
=
2
6
+
1
2
=
1
3
+
1
2
=
2
6
+
3
6
=
2+3
6
Answer:
5/6
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/6, 1/2) = 6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(26×11)+(12×33)=?
Complete the multiplication and the equation becomes
26+36=?
The two fractions now have like denominators so you can add the numerators.
Then:
2+36=56
This fraction cannot be reduced.
Therefore:
26+12=56
Solution by Formulas
Apply the fractions formula for addition, to
26+12
and solve
(2×2)+(1×6)6×2
=4+612
=1012
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2
10÷212÷2=56
Therefore:
2/6+1/2=5/6
(hope this helps can i plz have brainlist :D hehe)
Use a unit multiplier to convert 0.37 liters to milliliters.
Answer:
370
Step-by-step explanation:
Multiply the number of liters (L) by 1,000 to find the number of milliliters (mL). There are 1,000 times as many milliliters as there are liters. For instance, say you have 3 liters. Simply multiply 3 liters by 1,000 to get 3,000 milliliters.
Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation.
Answer:
each jump rope costs 4 dollars
12÷3=4
Answer:
$4
Step-by-step explanation:
Divide: 12 divided by 3=4
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Plsss help me ASAP plss
14% of math students got an A on the test. 29% got a B. What percentage of students got a C, D, or an F?
Answer:
57% of students
Step-by-step explanation:
14 + 29 = 43%
100% - 43% = 57%
help lol i cant read the text, please tell me how u did it too <3
I can't read the text either, can you zoom in a bit?
I need some help with this question
9514 1404 393
Answer:
terms: 2
degree: 1
Step-by-step explanation:
The expression has two terms, separated by a minus sign.
The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)
terms: 2; degree: 1
pls help w this math question
thx !
help please with math
Answer:
(2 x a)+(3 x b)+c=total points
Step-by-step explanation:
When you buy a new car it is a depreciating asset. Which means the moment you purchase your car it begins losing value. If you
tried to sell it back to the dealership they would pay you less than you bought it for. The depreciation of a car is around 15% per
year. Complete the graphic organizer below for a car worth $20,000
I can't see the graph but I'll try anyway
Answer:
x y
0 $20,000
1 $18,000
2 $16,200
3 $14,580
4 $13,122
5 $11,809.80
Convert 60°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
c=5 (F 32)
F=ŚC+32

Answer:
the answer is 15.5⁰ Celcius
25% of N is 12. Solve for N. Just put the number.
Answer:
25% of 48 = 12
Step-by-step explanation:
12 ÷ 25% = 12 ÷ 0.25 = 48
Answer: Divide each term by 25 % and simplify.
N = 48
Step-by-step explanation:
Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y
The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The given statement is "fourteen increased by a number"
According to the given question, translate the phrase into an algebraic expression:
⇒ 14 + y
This is because the phrase "increased by" means to add a certain number to 14.
The variable y represents the number that is being added to 14.
Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.
Hence, the correct answer would be option (A).
Learn more about the algebraic expression here :
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2x - 5[4 + 3 (x + 2)] = 9
Step-by-step explanation:
i hope you will get the answer
Step-by-step explanation:
2x - 5 ( 4 + 3 ( x + 2 ) ) = 92x - 5 ( 4 + 3x + 6 ) = 92x - 5 ( 3x + 10 ) = 92x - 15x - 50 = 9-13x - 50 = 9-50 - 9 = 13x-59/13 = xMARK ME AS BRAINLISTAcil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answer:
hai :D
Step-by-step explanation:
Also try D
help help this is it
Answer:
u = -112
Step-by-step explanation:
-14 = u ÷ 8
-14 × 8 = u ÷ 8 × 8
-112 = u
Answer:
-112
Step-by-step explanation:
-14 = u divide by 8
x 8 x 8
-------------------------------
-112 = u
Can I have A brainliest
Helppppppppppppppppp
Answer:
The answer will be 24
Step-by-step explanation:
Hope this Helped
Answer:
24
Step-by-step explanation:
The space that sand fills varies directly with its mass. If 2,400 kg of sand fill 1.5 cubic meters, how much sand is needed to fill 2.25 cubic meters? PLEASE I REALLY NEED HELP!
Answer:
3,600 kg
Step-by-step explanation:
2,400÷6=400
400×3=1200
2,400+1,200= 3,600 kg
Can someone please help me!!! Ill mark brainliest!!
Answer: 252 ft
Find the area of the whole thing, then find the area of the green rectangle, then subtract to find the answer.
Zenaida shares 1/5 bag of cookies equally among herself and 2 her friends. What fraction of the cookie bag will each girl receive?
Answer:
1/15
Step-by-step explanation:
1/5 divided by 3
=1/5 times 1/3
= 1 × 1
-------
5 × 3
= 1/15
Answer:
The answer is 1/10
Step-by-step explanation:
1/5 divided by 2
1/5 times 1/2
1 x 1 = 1
5 x 2 = 10
1/10
GIVING BRAINLIEST!!!
Answer:
i think its 78.5 but the answers not on there the closest one there to it is 76.5 so just put that one
Step-by-step explanation:
Brandon buys a radio for $43.75 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81
What is the value of w?
AnswThe letter (W) is the symbol used to represent whole numbers. Whole numbers are counting numbers from 0 to infinity. The whole numbers (W): 0, 1, 2, 3, 4 . . . Notice that every natural number is a whole number.er:
Step-by-step explanation:
: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el miércoles retiró $95.000 Y el jueves consignó $80.000. ¿Cómo se representan matemáticamente los movimientos bancarios de Santiago?
Answer:
Step-by-step explanation:
Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:
Lunes → + 300.000Martes → -120.000Miércoles → -95.000Jueves → +80.000Al realizar la sumatoria se obtiene:
+300.000 - 120.000 - 95.000 + 80.000 = + 165.000
En la semana Santiago obtiene en su cuenta bancaria $165.000
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
Please help I need it ASAP!!
Answer:
5+z=190....././......