Answer:
d
Step-by-step explanation:
4x + 11 = 15
4x = 4
x = 1
Would it be better to have a loan with 5% interest payback in 2 years, or a loan with 2% interest paid back in five years? Explain. Show work to justify your answer.
Step-by-step explanation:
If the interest on the loan is simple interest. Both the situation will have equal amount of interest ( 5*2 =10% of total amount). Therefore, it would be better to pay back with 2% interest paid back in five years. However, if the interest is compounded annually, 5% in 2 years will have lesser interest than 2% in 5 years. Hence, Former option would be better.
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 17 hours. How many bacteria would there be after 20 hours, to the nearest whole number?
Answer:
y = 181
Step-by-step explanation:
Doubling Formula:
[tex]y = a(2)^\frac{t}{d}[/tex]
y=80
d=17
t=20
plug in
y=80(2)[tex]^\frac{20}{17}[/tex]
y=180.818525349
y≈181
i hope this helps some!
Answer: 149
Step-by-step explanation:
A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Answer:
$39.59
Step-by-step explanation:
37 increase 7% =
37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59
Linda thinks of three integers. Added two at a time their sums are 80, 93, 87. What are the integers?
Answer:
They are 9, 5 and 8
Step-by-step explanation:
[tex](5x+4) (x-7) =0[/tex]
ASAP! here’s another that that i can’t figure out!! Please help :)))
Find the volume of the cylinder. Round to the nearest hundredth.
5 mm.
25.5 mm.
V=
mm3
Answer:
2002.77mm³
Step-by-step explanation:
Formula : pi × r²× height
pi × 5² × 25.5 = pi × 25 × 25.5 = 2002.765317mm³
y = 2x^2
y = 3x^2 - 4
Graph the quadratic functions y =-2x^2 + 4 on a separate piece of paper. Using those graph, compare and contrast the shape and position of the graphs.
Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
(HELP FAST PLEASE)
Robert runs 2 1/3 laps in 4 1/3 minutes. At this rate how long will it take to run 3 laps?
Answer:
7
Step-by-step explanation:
This is easy. You simply see what 2 1/3 is of 3. The answer is 7.
Please make brainliest!
Answer:
[tex]5 \frac{7}{50}[/tex]
Step-by-step explanation:
we can write the following ratios
laps:time
2.333:4.3333
3:x
To solve this just multiply 4.333 by 1.28571428571 (this is what we mulitplied 2.333 by to get 3)
do this and round to get 5.14 minutes
let's convert this into a fraction just in case
5.14= 514/100 = 257/50 = 5 7/50
Someone please help me with this
In a bag, there are red and green marbles in the ratio of 2:7. If there are 27 marbles in the bag, how many of them are green?
7
21
10
18
Answer:
21
Step-by-step explanation:
2 + 7 = 9
27/9 = 3
3 times 7 = 21
.Any number that has 9 as a factor also
has 3 as a factor. Why is this
Answer:
9 is divisable by 3.
A number that has 9 as a factor can be divided by 9 so it can also be divided by 3.
What is the value of X?
Answer: x=1
Step-by-step explanation:
In any parallelogram, the two diagonal bisects each other. (For visual, please look at the attachment below)
-----------------------------------------------------------------------------------------
Given
6x=5x+1 (They are the two segments of one diagonal. Since they are
bisected, they are equal)
Subtract 5x on both sides
6x-5x=5x+1-5x
x=1
Hope this helps!! :)
Please let me know if you have any questions
What is the image of (-3,-7) after a reflection over the x-axis?
The sum of two numbers is 42. The smaller number is 20 less than the larger number. What are the numbers?
Answer: 22 and 20
Step-by-step explanation: Good luck! :D
Answer:
20+22
Step-by-step explanation:
42-20=22
22+20=42
if a snail moves 1 1/2 feet in 3 3/4 hours, whats it speed in feet per hour?
Answer:
2.5 ft/hr Step-by-step explanation: divide the number of hours by the number of feet.
Step-by-step explanation:
Answer:
Hello!
2/5 feet per hour
d = vt
1 1/2 or (3/2) = v(3.75 hours or 15/4)
divide both sides by 3.75 hours
0.4 or 2/5
Hope this helps :))
What comes next in this pattern?
Answer:
П П
П
П П
П
П П
П
Step-by-step explanation:
the pattern goes 10, 9, 16, 16, 10, 9, 16, 16, 10, 9, 16, 16, 10...…
10 points please help
Answer:
a. 9(2m+7)
b. 4(3r-1)
Step-by-step explanation:
When factoring out the greatest common factor of expressions, first list the factors of the terms. Then, determine the greatest common factor between the two terms. After, "carry" that number out of the expression through division.
a. 18m+63
Start by listing the factors of 18 and 63.
18: 1, 2, 3, 6, 9, 18
63: 1, 3, 7, 9, 21, 63
The greatest common factor of 18 and 63 is 9, so we can carry 9 out of the expression through division:
18m+63
= 9(2m+7)
b. 12r-4
Start by listing the factors of 12 and 4.
12: 1, 2, 3, 4, 6, 12
4: 1, 2, 4
The greatest common factor of 12 and 4 is 4, so we can carry 4 out of the expression through division:
12r-4
= 4(3r-1)
I hope this helps!
a reflection of the pink triangle is shown. which transformation makes this reflection
Answer:
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.
Can some one help me on this the last answer since you can’t see it is CB=AC
FE DE
Answer:
C. AB/EF = BC/EF
Step-by-step explanation:
If the triangles are similar then the ratio of these side lengths must be equal.
CAN SOMEONE PLEASE CHECK MY ANSWER!!!!!
Answer:
It is not correct, but very, very close, so great job!!
Step-by-step explanation:
When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.
The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.
Please help it's due today. Also please don't help if you don't know.
Answer:
D) [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex]
Step-by-step explanation:
You have to use the laws of exponents to solve this:
Power of a Power: [tex](a^{m} )^{n} = a^{mn}[/tex]. In this case, [tex](4g^{3} h^{2} k^{4} )^{3}[/tex], all of the numbers in the parenthesis need to be multiplied to the power of 3: [tex]4^{3} g^{9} h^{6} k^{12}[/tex].
Quotient of Powers: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this case, [tex]\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }[/tex], all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): [tex]8g^{6} h^{4} k^{12}[/tex].
Use the Power of a Power again for the expression at the right: [tex](h^{5} k^{3} )^{5}[/tex]. You get: [tex]h^{25} k^{15}[/tex]. Keep the subtraction/negative sign where it is.
Together, you get: [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex].
Hope it helps!
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
Show all the values of t that make your inequality true on a number line, like the one shown below.
A number line with the numbers negative 4 through 10, in increments of 2, indicated.
Answer:
(5-2t)<-4
Step-by-step explanation:
The temperature is 5 °C at midnight, and it is dropping at a speed of 2 °C each hour. If it's past midnight, the temperature will be t degrees after t hours ( 5 - 2t ). If the temperature is below - 4 ℃, the inequality can be ( 5-2t ) - 4
Add
f(x) = 4x2 + 5x-1
g(x) = 2x2 + 5x + 3
Please help!!
Find the center, vertices, and foci of the ellipse with equation
Answer:
center (0;0), vertices (0;10) and (0;-10), foci (0;6) and (0;-6)
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{C) Center:(0,0);\: Vertices:(-10,0),(10,0);\:Foci:(-6,0),(0,6)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:conic geometryalgebraPEMDASgiven:[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{64} = 1[/tex]to find:centerverticesfocitips and formulas:[tex] \sf ellipse \:equation : \\ \tt\frac{( {x}^{2} - h)}{ {a}^{2} } + \frac{( {y}^{2} - k)}{ {b}^{2} } = 1[/tex][tex] \sf c(h,k)[/tex][tex] \sf v(h \pm a,k)[/tex][tex]\sf F(h\pm c,k)[/tex][tex] \sf c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]let's solve:[tex] \sf rewrite \:the \: given \: equation \: as \: ellipse \: equation \\ \tt \frac{ {(x - 0)}^{2} }{100} + \frac{ ({y - 0)}^{2} }{64} = 1[/tex]since we can see that h and k is 0
therefore
c(0,0)
[tex] \sf vertices :( h \pm a,k)[/tex]
given:a²=100
let's find a
a=√100
a=10
therefore
vertices:(0±10,0)
=(0+10,0) and (0-10,0)
=(10,0) and (-10,0)
[tex] \sf foci : (h \pm c,k)[/tex]
[tex] \tt c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]
[tex] \sf \: c = \sqrt{ {10}^{2} - {8}^{2} } \\ \sf \: c = \sqrt{(10 + 8)(10 - 8)} \\ \sf c = \sqrt{(18)(2)} \\ \sf c = \sqrt{36} \\ \tt c = 6 [/tex]
therefore,
foci:(h±c,k)
=(0±6,0)
=(0+6,0) and (0-6,0)
=(6,0) and (-6,0)
[tex]\text{also see the graph} [/tex]
help i don't understand this!
Ben cut the following rockets out of cardboard. The height from the base to the tip of the smaller rocket is 20 cm. The height from the base to the tip of the larger rocket is 120 cm. What percent of the area of the smaller rocket is the area of the larger rocket?
y = −2 4x − 3y = 18 solved by substitution please show work so i can understand :)
Answer:
Step-by-step explanation:
y = -2
4x - 3y = 18
4x - 3(-2) = 18
4x + 6 = 18
4x = 12
x = 3
(3, -2)
Answer:
I love algebra
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
help ill give brainliest
Answer:
x = 2
y = -3
Step-by-step explanation:
6x+6y = -6
x = -5y-13
substitute for x
6(-5y-13) + 6y = -6
-30y-78+6y = -6
-24y-78 = -6
add 78m to each side
-24y = 72
divide each side by -24
y = -3
x =-5(-3)-13 = 2
To determine the number of deer in a forest, a naturalist catches, tags, and releases 15 deer. Later, 20 deer are caught, and 6 have tags. Estimate the number of deer in the forest.
Answer:
50 deer in the forest.
Step-by-step explanation:
Since this is a ratio problem and we are given three values and a single unknown (total number of deer) we can use the Rule of three to solve for the variable. We do this by multiplying the diagonal values and then dividing by the last available value. That will give us the value of the variable which in this case would be represented as x.
20 deer <======> 6 tagged
x deer <======> 15 tagged
(20*15) / 6 = x
300 / 6 = 50 total deer
Based on these values we can estimate that there are a total of 50 deer in the forest.
Describe a strategy to visualize and calculate=20% off
40.
Answer:
32
Step-by-step explanation:
First you're going to change 20% to a decimal which would be 0.20
Next, multiply .20 by 40
You should get 8
Subtract 8 from 40
You're answer is 32
Box A weighs 1.4 pounds, box B weighs 3.2 pound, and box C weighs 2.5 pounds. What is the combined weight of box A and Box C?
Answer:
3.9 pounds
Step-by-step explanation:
Box A=1.4 lbs
Box B=2.5 lbs
Answer= Box A + Box B = 1.4+2.5 lbs
1.4+2.5= 3.9 lbs