Answer:
b. 36
Step-by-step explanation:
Evaluate x^4 - 4 x^2 + 3 x where x = -3:
x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
(-3)^4 - 49 - 3×3
Hint: | Determine the sign of (-3)^4.
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4 - 4×9 - 3×3
Hint: | Compute 3^4 by repeated squaring.
3^4 = (3^2)^2:
(3^2)^2 - 4×9 - 3×3
Hint: | Evaluate 3^2.
3^2 = 9:
9^2 - 4×9 - 3×3
Hint: | Evaluate 9^2.
9^2 = 81:
81 - 4×9 - 3×3
Hint: | Multiply -4 and 9 together.
-4×9 = -36:
81 + -36 - 3×3
Hint: | Multiply 3 and -3 together.
3 (-3) = -9:
81 - 36 + -9
Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.
81 - 36 - 9 = 81 - (36 + 9):
81 - (36 + 9)
Hint: | Evaluate 36 + 9 using long addition.
| 1 |
| 3 | 6
+ | | 9
| 4 | 5:
81 - 45
Hint: | Subtract 45 from 81.
| 7 | 11
| 8 | 1
- | 4 | 5
| 3 | 6:
Answer: 36
1,682inches rounded to the nearest hundredth is 1,68?
,
Answer:
correct its 1.68
Step-by-step explanation:
What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40
franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then
[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]
Hence,
There are 60 boys and 80 girls in Franklin School.
giving brainliest !!!
Answer:
Given
Step-by-step explanation:
Statement 1: AB is parallel to CD is justified as 'Given'
9. The temperature outside Jeff's house is 14 °C at midday.
By midnight, the temperature has fallen by 27 °C.
What is the temperature at midnight?
Section 1 – Number and Proportion
Answer:
-13ºC
Step-by-step explanation:
The temperature has fallen, so you subtract.
14ºC-27ºC=-13ºCFind the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the lineLet us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm 6 cm
The perimeter of the polygon above is
Answer:
this is a uniform polygon (that is all its sides are of the same value)
6 into number of sides
6 × 10
60
the perimeter of the polygon is 60
Step-by-step explanation:
i hope this helps.
have a great day ahead :D
Answer:60
Step-by-step explanation:
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
PLEASE HELP ME WILL REPORT IF TROLL
Answer:
The answer is 1470 seconds.
Step-by-step explanation:
Which of the following expressions results in a positive number? Select three that apply.
A. -6 · (-3) · (-2)
B. -4 · (-3 - 1 )
C. -3 · (-8)
D. -3 · (-2 + 6)
E. 5 · (-1)
F. 6 · (4-2)
Answer: B, C, and F
Step-by-step explanation:
The expressions that result in a positive number will be -4 · (-3 - 1), -3 · (-8), and 6 · (4 - 2). Then the correct options are B, C, and F.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Simplify all the options, then we have
A. -6 · (-3) · (-2) = - 36
B. -4 · (-3 - 1 ) = 16
C. -3 · (-8) = 24
D. -3 · (-2 + 6) = - 12
E. 5 · (-1) = - 5
F. 6 · (4 - 2) = 12
The expressions that result in a positive number will be -4 · (-3 - 1), -3 · (-8), and 6 · (4 - 2). Then the correct options are B, C, and F.
More about the Algebra link is given below.
https://brainly.com/question/953809
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R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A
Step-by-step explanation:
qbbab w qnajkwkqqnnqnwn
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation
The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
The given equation is 7 × 870 = 5600 + 49.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Now, product of two numbers 7 and 870 is
7 × 870=6090
⇒ 7 × 870 = 5600 + 490
Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
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(100) POINTS NO JOKE!!!!Which ratios are equivalent to 7
3
? Check all that apply.
(A) 27:21
(B) 28 to 12
(C) 56/ 24
(D) 63 to 27
(E) 9/21
Answer:
B, C, D
Step-by-step explanation:
If simplified, 28:12 becomes 7:3, as 28 is evenly divisible by 7 and 12 is easily divisible by 3. This applies to 56:24 and 63:27 as well.
For example:
(28:12)/ 4 = 7:3Determine which statement uses a valid argument.
A.
If it is hot outside, then Matt will not wear a jacket. Matt is not wearing a jacket. Therefore, it is hot outside.
B.
If it is Tuesday, then the library is open. The library is open. Therefore, it is Tuesday.
C.
If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
D.
All practicing lawyers must pass the bar exam. Chris did not pass the bar exam. Therefore, Chris is a practicing lawyer.
Answer:
The answer is C.
Step-by-step explanation:
- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
A rectangle made of square tiles measures 9 tiles long and 4 tiles wide. What is the length of a similar rectangle whose width is 8 tiles?
the answer is in the picture.
Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.
Answer: 4. Transporting quests to and from the airport and sightseeing trips.
Step-by-step explanation:
Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.
Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Answer:
she spends 9 hours
Step-by-step explanation:
3. Which is equivalent to the expression below?
4e 6 -2e + 5f + 2 - 2
a. be + 3f + 4
b. 2e + 7f + 4
C. 6e + 7f + 8
d. 2e + 3f + 8
Answer:
B
Step-by-step explanation:
I took an educated guess because i really wasnt sure
Answer:
B. 2e + 7f + 4
Step-by-step explanation:
I took the quiz
What is f(4) for the function f(x)= 6x+7?
Answer:
31
Step-by-step explanation:
f(4) = 6x4 + 7
= 24 + 7
= 31
Simplify: 6s – (3s – 2) A. 3s + 2 B. 3s – 2 C. -3s – 2 D. -3s + 2
Answer:
A. 3s + 2
Step-by-step explanation:
6s - (3s - 2)
6s - 3s +2
3s + 2
A. 3s + 2
Answer:
[tex]\boxed{3s+2}[/tex]
Solution Steps:
__________________________________________________________
To find the opposite of 3s−2, find the opposite of each term:
Opposite of [tex]3s[/tex] = [tex]-3s[/tex]Opposite of [tex]-2[/tex] = [tex]2s[/tex]Combine 6s and −3s:
[tex]6s+(-3s)=3s[/tex]Rewrite:
[tex]6s-(3s-2)=3s+2[/tex]__________________________________________________________
[tex]\bold{Hope~this~helps~Mate!}\\\bold{If~you~need~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~-Your~friendly~answerer,~Shane.}[/tex]
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
For more about the number system,
https://brainly.com/question/22046046
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A bridge is supported by triangular braces. IF the sides of each brace have the lengths 3 feet, 46 feet, and 40 feet, find the measure of the angle opposite of 46 feet side.
Answer:
46.76
Step-by-step explanation:
Applying the law of cosines
giving brainliest !!!
Find the gradients of lines A and B.
The first time the us enacted a temporary income tax was
Answer:
the revenue act of 1862
Step-by-step explanation:
President Abraham Lincoln signed it
Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
Change the radical √5/√8
into simplest radical form a/b √c, where a, b, and c are all integers.
Answer:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]
Required
Express in its simplest form
To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.
In other words:
[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]
[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]
[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]
Take positive square root
[tex]\frac{\sqrt{40}}{8}[/tex]
Express 40 as 4 * 10
[tex]\frac{\sqrt{4*10}}{8}[/tex]
[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]
[tex]\frac{2*\sqrt{10}}{8}[/tex]
Simplify:
[tex]\frac{1*\sqrt{10}}{4}[/tex]
[tex]=\frac{1}{4}\sqrt{10[/tex]
Hence:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.
Answer:
read
Step-by-step explanation:
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ 24 > 16
B:
✔ –22 < –6
C:
✔ 21 > –18
D:
✔ –25 < 5
Multiplying both sides of an inequality by a positive number
✔ does not change
the inequality symbol.
Here fools the rights answers hope it helps O<O
Answer:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
what is 21 x 29 I need the answer please
Answer:
609
Step-by-step explanation:
609
.............................