Answer:
x^2 +13x+42
Step-by-step explanation:
(x+6)(x+7)
FOIL
first: x*x = x^2
outer: 7x
inner:6x
Last: 6*7 =42
Add them together
x^2+7x+6x +42
Combine terms
x^2 +13x+42
Answer:
X^2 + 13x + 42
Step-by-step explanation:
(X+6)(x+7)
x^2 + 7x + 6x + 42
X^2 + 13x + 42
how many real roots does a quadratic equation have if the discriminant is 10
Answer:
2
Step-by-step explanation:
if the discriminant of the quadratic equation is 10 then it will have 2 real roots.
Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet, what is the length of the property? blank feet
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
Which means the formula for the perimeter is P = 2L + 2WIf L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us 216 = 4W - 24 + 2W → combing like terms gives us216 = 6W - 24 → adding 24 to both sides gives us 240 = 6W → dividing both sides by 6 gives us40 ft = WWith the width being solved, we can now plug that value into our length equation
L = 2(40) - 12 → distributing the 2 to the 40 gives usL = 80 - 12 → combing like terms give usL = 68 ftFelicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money does she need to bring to closing
Answer:
$2,980
Step-by-step explanation:
Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.
From the given question:
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage
the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points
Thus; the additional money she need to bring to closing is calculated by the formula:
cost = points × loan amount
= 0.02 × $149,000
= $2,980
A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees
Answer:
a. 14.19 feet
b. 2504.26 cubic foot.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
(a) Determine the height of the cone to the nearest tenth of a foot.
(b) Determine the overall volume of the tower to the nearest cubic foot.
Please have a look at the attached photo.
My answer:
Given the information:
The cylinder has:
diameter of 12 feet => the radius : 6 feetheight of 15 feetThe cone has: an inclination angle of 25 degrees
(a) Determine the height of the cone to the nearest tenth of a foot.
Let h is the height of the cone
The distance from C to A is 6 feet and the measure of the angle CAB is 25 degrees. The triangle ABC is a right triangle.
=> sin(CAB) = [tex]\frac{CA}{h}[/tex]
<=> h = [tex]\frac{CA}{sin25}[/tex]
<=> h = [tex]\frac{6}{sin25}[/tex]
<=> h = 14.19 feet
(b) Determine the overall volume of the tower to the nearest cubic foot.
overall volume = volume of the cone + volume of the cylinder
We have:
Volume of the cylinder = the height*the base area= 15*[tex]r^{2}[/tex]*π
= 15*[tex]6^{2}[/tex]*π
= 1696.6 cubic foot.
volume of the cone = 1/3*the height*the base area= 1/3*14.19*[tex]6^{2}[/tex]*π
= 534.76 cubic foot.
=> overall volume = 534.76 + 1696.6 = 2504.26 cubic foot.
Hope it will find you well.
Try It!
Find the length of a 100-yard football field in meters. Use 1 yard = 3 feet
and 1 meter = 3.28 feet. Round to the nearest tenth.
Answer:
91.46m
Step-by-step explanation:
The length of 100 yard football field in meters.
From the dimension given,
1 yard = 3 feet
Therefore,
100 yard = x feet
1 yard = 3 feet
100 yard = x feet
X = (100 × 3) / 1
X = 300 feet.
But,
1 metre = 3.28feet
X metre = 300 feet
X = (300 × 1) / 3.28
X = 91.46m
Therefore, 100 yard football field is equal to 91.46m
Eric's income puts him in the second tax bracket (15%) last year. During the same year, he earned $515 in dividends and $65 in coupons on a municipal bond. In March, he purchased a common stock for $200. He sold the same stock six months later for $915. What is the total Eric will pay in taxes on last year's investments?
Answer: $184.50
Step-by-step explanation:
Eric’s income puts him in the second tax bracket which has 15%, tax rate.
Eric has the following income-
Income from dividends = $515 what ch is (taxed at 15%)
Therefore; tax on dividend income = $515 * 15%
= $515 × 15/100
= $515 × 0.15
= $77.25
The Income from municipal bonds = $65 (Not taxed)
The income from sales of stock (capital gain)= $915 - $200 = $715 (This is held for less than 1 year therefore it is taxed as ordinary income at 15% tax rate)
Therefore,the tax on the short-term capital gain
= $715 * 15%
= $715 × 0.15
= $107.25
Therefore the total amount Eric will pay in taxes on last year’s investment will be:
= tax on dividend income + the tax on short-term capital gain
= $77.25 + $107.25
=$184.50
Answer:
$107.25
Step-by-step explanation:
I just took the quiz ehehe
Wendy had 1/2 of her birthday cake left over, so she decided to take it to work.
She shared her cake equally amongst herself and five of her coworkers. What
fraction of the birthday cake does each person get?
Answer:
1/12
Step-by-step explanation:
1/2 divided by 6
that way her and her 5 workers each get the same amount of cake
1/12
Step-by-step explanation:
1/2/6=1/12
12 = 6(n – 7)
Solve 2 -step equation
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
Divide by 6 on both sides
12/6 = 6/6(n – 7)
2 = n-7
Add 7 to each side
2+7 = n-7+7
9 = n
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
12 = 6n - 42. Use the distributive property
12 = 6n - 42
+42. +42. Inverse operations
54 = 6n
÷6. ÷6
9 = n
(05.03 MC)
Look at the figure below:
Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE equals EC and ED equals BE.
Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? (1 point)
Triangle ABE and triangle CBE
Triangle AEB and triangle CED
Triangle BEC and triangle DEC
Triangle ABC and triangle DCE
Answer:
Triangle AEB and triangle CED2nd answer is correctStep-by-step explanation:
AE = EC (side)
BE = ED( side)
AEB angle = DEC angle( angle)
Triangle AEB and triangle CED ( SAS)
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
Someone help me please?!
Answer:
13
Step-by-step explanation:
Mark me as brainliest
Photo is above need help no work needed just the answer thank you
Answer:
D is the correct answer
6:
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
A
Gallery: g
Balcony: g
Main Floor: g + 225
B
Gallery: g + g + 225
Balcony: 2g
Main Floor: g
C
Gallery: g
Balcony: g + 225
Main Floor: 2g + 225
D
Gallery: g
Balcony: 2g
Main Floor: 2g + 225
Answer:
D) gallery: g
balcony: 2g
main floor: 2g + 225
Step-by-step explanation:
I’m taking an L someone help
Answer:630
Step-by-step explanation:
Answer:
gg hope that L goes goof for you
Step-by-step explanation:
69 420
We can find the roots of a quadratic function by looking at where it intercepts the x-axis. If a graph is entirely above the x-axis and never intersects it, what would you infer about the roots of the function?
Answer:
It doesn't have any roots
Step-by-step explanation:
If the parabola doesn't intersect the x-axis, then there are no solutions to the equation.
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. a = 9, c = 15
1) 15
2) 11
3) 14
4) 12
Sally has 4 red socks, 6 white socks, and 2 pink socks in her drawer. She
randomly pulls a red sock out of the drawer. Then she randomly pulls out
another sock from a drawer.
a) What is the probability that Sally pulls out a red sock?
b) What is the probability that Sally pulls out a sock that is not red?
c) Are the events described in a) and b) complementary? Explain.
A) 1/3
B) 2/3
C) Yes because 1/3+2/3=1 but if it was 1/3 and 1/3 it would not be complementary
There are six clearly distinguishable frogs sitting in a row. Two are green, three are red, and one is blue. Green frogs refuse to sit next to the red frogs, for they are highly poisonous. In how many ways can the frogs be arranged?
Answer:
i believe it is 18
Step-by-step explanation:
green1 green2 blue red1 red2 red3
green2 green1 blue red1 red2 red3
green1 green2 blue red2 red1 red3
green2 green1 blue red2 red1 red3
green1 green2 blue red3 red2 red1
green2 green1 blue red3 red2 red1
green1 green2 blue red1 red3 red2
green2 green1 blue red1 red3 red2
red1 red2 red3 blue green1 green 2 everthing above but this way
Answer:
24
Step-by-step explanation:
A recipe uses ⅔ cup of flour and ⅝ cup of blueberries. Is there more flour or more blueberries in the recipe?
Answer:
There is more Flour
Step-by-step explanation:
☻ Get common denominators then compare the numerators
Answer:
Flour.
Step-by-step explanation:
You have to multiply both denominators to get 24, and whatever you multiplied them by, you multiply the numerator. 2x8 =16/24
5x3=15/24
Use long division to find the quotient below
Answer:
[tex]4x^2-2x+6[/tex]
Step-by-step explanation:
I did it on paper
[tex](8x^3+20x^2+36)/(2x+6)=4x^2-2x+6[/tex]
Would simplifying affect the inequality?
3x < 7+3
What would be the simplified form or the next step?
Answer yes or no, simplified form written
Answer:
Simplifying would not affect the inequality, because you are still saying the same thing just in a different way
Step-by-step explanation:
the next thing you would have to do would be to add 7+3 which gives you 10 and then divided 3x by 3x and 10 by 3x and badaboom there's your answer
PLEASE HURRY IM IN A RUSH!!!!!!! 100 POINTS!
Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answer:
If i am right it has to but has to be -11
If T=[23 -38]
[17. -6 ] then what is -10(T)
Answer:
B
Step-by-step explanation:
Multiply each term by -10
which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)
Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
16. Determine the measure of x:
21
680
х
Find the solution set of the inequality
14-3x<-1
Answer:
x > 5
Step-by-step explanation:
PLEASE ANSWER ASAP!! GOOD 20 POINTS
Answer:
43
Step-by-step explanation:
Let's plug in 105 for v. We get 105 = 30[tex]\sqrt[3]{t}[/tex].
3.5 = [tex]\sqrt[3]{t}[/tex]
t = 43 seconds
Which statements are true regarding undefinable terms in geometry? Check all that apply.
Answer:
A point has no length or width.
A point indicates a location in a coordinate plane.
A plane consists of an infinite set of lines.
A line consists of an infinite set of points.
Step-by-step explanation:
True : A point has no length or width. A point in geometry is a location.
True: A point indicates a location in a coordinate plane.
False: A plane has one dimension, length. A plane has two dimensions.
False: A line has a definite beginning and end. A line goes on forever in both directions so it has infinite length.
True: A plane consists of an infinite set of lines. A plane is a flat surface extending indefinitely in all directions.
True: A line consists of an infinite set of points.A line is a connected set of infinitely many points
Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
Answer:
y = x - 2
Step-by-step explanation:
y + 4 = 1 (x + 2)
y + 4 = x + 2
y = x - 2
20 POINTS!!!!!!!!!!! ASAP! 20 POINTS!!!! Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 7, point 2, negative 17, point 3, negative 27, point 4, negative 37, point 5, negative 47, and point 6, negative 57 a1 = −7; d = 10 a1 = −7; d = −10 a1 = 1; d = 10 a1 = 1; d = −10
Answer:
a1 = -7
d = -10
Step-by-step explanation:
Look at the points, you first point (1,-7) where a1 is 1 and that also means -7
Same for d go to the second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10 <--- that is your d!
Goodluck
a1 is -7 and d is -10. Comparative genomics use bidirected graphs known as sequence graphs.
What is sequence graph?Comparative genomics use bidirected graphs known as sequence graphs, often referred to as alignment graphs, breakpoint graphs, or adjacency graphs. The structure is made up of several graphs or genomes, where the edges and vertices correspond to the adjacencies.
A sequence, which often represents an entire genome or a portion of a genome, is produced by traversing an interdependent component of segments with adjacency edges (referred to as a thread).
first point (1,-7) where a1=1 and that also means -7
second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10, its d
a1 = -7
d = -10
Therefore, a1 is -7 and d is -10.
To know more about sequence graph, here:
https://brainly.com/question/1549176
#SPJ3
Explain the students mistake
Answer:
The student was supposed to multiply 4(1+5n) to equal 4+20n instead she forgot to multiply 5n and put 4+5n.
Step-by-step explanation:
-8n + 4(1 + 5n) = -6n -14
-8n + 4 + 20n = -6n -14
12n+4 = -6n -14
+6n +6n
18n +4 = -14
-4 -4
18n= -18
n = - 1